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e -2*u - 91 = -5*u + l, -4*l - 124 = -w*u. What are the prime factors of u?
2, 3, 5
Let l = 404 + 353. What are the prime factors of l?
757
Suppose -138 = v - 3*v. Let x = v + 29. What are the prime factors of x?
2, 7
Suppose 2*m - 4*z + 28 = -0, 3*z = 15. What are the prime factors of 2/m*-3*3222/27?
179
Let o(t) = -244*t**3 - t - 1. Let m be o(-1). Suppose 0 = -4*i + 3*x + 240, 4*i + 4 = 2*x + m. List the prime factors of i.
2, 3, 5
Suppose 53 = -4*f + 65. List the prime factors of -2*(f/(-15) + (-639)/30).
43
Let i = -401 + 33. Let b = -88 - i. What are the prime factors of b?
2, 5, 7
Let r = 1468 + -807. List the prime factors of r.
661
Let o = 7 - 5. Let i be (3/2)/(-3)*-42. Suppose 2*g + 4 = -o*c + 16, 2*c = g - i. List the prime factors of g.
11
Let b(f) = 7 - 7 + f - 2*f + 11. Let y = 18 + -10. List the prime factors of b(y).
3
List the prime factors of 124/6 + 12/(-18).
2, 5
Let l = 470 - 217. What are the prime factors of l?
11, 23
Suppose -10*w + 3*w + 3066 = 0. List the prime factors of (3/6)/(-1 + 439/w).
3, 73
Let x(r) = -r**3 - 18*r**2 - 2*r - 25. What are the prime factors of x(-19)?
2, 11, 17
Suppose 69 = t - 738. What are the prime factors of t?
3, 269
Suppose 133 = 2*o - 2207. List the prime factors of o.
2, 3, 5, 13
List the prime factors of 0/(5 + -11) + 686.
2, 7
Let f(c) = 10*c**2 - 44*c - 4. List the prime factors of f(7).
2, 89
Suppose -60 = 12*r + 3*r. List the prime factors of (r - (-95 + -2)) + 0/2.
3, 31
Suppose 3*l + 135 = 1308. List the prime factors of l.
17, 23
Let x = 1012 - 475. List the prime factors of x.
3, 179
List the prime factors of (-1)/4*-9410*(-12)/(-10).
3, 941
Let v = -1910 + 3567. List the prime factors of v.
1657
Let i be 17*1 + 6 + -10. Let h = i + 48. What are the prime factors of h?
61
Let o(i) be the third derivative of i**6/120 + i**5/6 - 25*i**4/24 + 8*i**3/3 + 8*i**2. What are the prime factors of o(-12)?
2, 7
Suppose 2*r - 150012 = -34*r. What are the prime factors of r?
3, 463
What are the prime factors of 66852/30 - 30/75?
2, 557
Let b = 8 - -53. Suppose b + 499 = 2*f + 3*l, -3*f = l - 826. List the prime factors of f.
2, 137
List the prime factors of -4*(2 + (-711)/12).
229
Let o = -1874 + 2293. What are the prime factors of o?
419
Let b = -86 + 654. What are the prime factors of b?
2, 71
Suppose 0*z = 3*l + 4*z - 2434, 5*l - 4052 = -2*z. Suppose 8*p = 13*p - l. List the prime factors of p/8 - (-3)/4.
3, 7
List the prime factors of 6/(-12) - (1 - 483/2).
2, 3, 5
Suppose 4*l - 52 = -v - 3*v, -3*l = -4*v + 38. Suppose 0 = 4*k + v - 3. What are the prime factors of -2*(-6 - (k - 0))?
2
Suppose -7*g + 363 = -4*g. Suppose 3*p + 40 - g = 0. List the prime factors of p.
3
Let z(c) = 2602*c**2 - 2*c + 3. What are the prime factors of z(1)?
19, 137
Let n(h) = -2*h**2 + 13 - 7*h**2 - h**3 + 8*h**2. What are the prime factors of n(-5)?
113
Suppose -3*n = q - 9, -2*q - 5*n = -0*n - 14. Let p be 58 + q/(-12)*4. Let j = -24 + p. List the prime factors of j.
5, 7
Let z be 2 + (6 - 2)/4. Suppose -s - 283 = -2*t, z*t - 4*s - 40 = 397. What are the prime factors of t?
139
Let y(b) = b**2 - 6*b + 3. Let r be -1 - (20/2)/2. Let j be y(r). Suppose 3*v + 0 = j. What are the prime factors of v?
5
List the prime factors of -4 - -3178 - -6 - (2 - -2).
2, 397
List the prime factors of (680/(-51))/(1/(-12)).
2, 5
Suppose 2*y = -2*t + 12, -3*y + 3*t = 4*t - 26. Suppose y*x - 11*x = -74. List the prime factors of x.
2, 37
Let o = -72 + 71. What are the prime factors of (3*2 - o)*(3 + 17)?
2, 5, 7
Let q(h) = 53*h**2 - 1. Suppose -4*c + c + 6 = 0, 7 = 3*l + 2*c. List the prime factors of q(l).
2, 13
Let a = 22 - 19. Let o = a - 63. List the prime factors of (80/o)/((-2)/54).
2, 3
Let o(q) = q**3 + 8*q**2 - 4*q - 3. Let a be o(-8). Suppose -a*c - 27 = -32*c. What are the prime factors of c?
3
Let j(p) = p**2 + 12*p + 6. Let a be j(-11). Let i(q) = q + 5. Let y be i(a). Suppose y = -3*g + 2*g + 16. What are the prime factors of g?
2
Suppose 0 = -4*r + 5*n + 3347, 830 = r + 2*n - n. List the prime factors of r.
7, 17
Suppose -18*i - 4520 = -23*i. Suppose 18*c - 500 - i = 0. List the prime factors of c.
2, 3, 13
Let i be (-26)/(-13)*(1 + 0). Suppose i*p + p + 2*l = 3, p + l = 0. List the prime factors of p.
3
Let z(k) = k**2 + 8*k - 12. Suppose -17*f + 12 = -18*f. What are the prime factors of z(f)?
2, 3
Let t(p) be the first derivative of 5*p**3/3 + 4*p**2 - 11*p + 41. List the prime factors of t(-6).
11
Suppose 3*d - 940 = -5*b, b + 0*d = d + 180. List the prime factors of b.
5, 37
Let f(b) = -b**3 + 28*b**2 - 28*b - 35. What are the prime factors of f(26)?
19, 31
Let f = 3158 + -1823. List the prime factors of f.
3, 5, 89
Let b(r) = 96 - r**2 - 7*r + 9*r + 0*r**2. Let v be b(0). Suppose c = -2*c + v. What are the prime factors of c?
2
Let k be (-1 - 4)/(29/(-29)). Suppose 11 + k = -4*p, -3*z - 5*p + 241 = 0. What are the prime factors of z?
3, 29
Let x = -45 + 66. Suppose -x*w + 17*w = -188. What are the prime factors of w?
47
List the prime factors of (320/(-25))/((-22)/3245).
2, 59
Let u(f) be the third derivative of -65*f**4/24 - f**3/2 - 10*f**2. List the prime factors of u(-1).
2, 31
Suppose -10*v - 156 = -12*v. What are the prime factors of v?
2, 3, 13
Suppose 1974 = 3*i + 10*g - 8*g, g - 3290 = -5*i. What are the prime factors of i?
2, 7, 47
Let z = 324 + -110. Suppose -2*h = 4*v - z, 84 + 14 = 2*v + 4*h. Suppose 0 = -5*s + 3*l + 261, -s = -l - l - v. What are the prime factors of s?
3, 17
Suppose 19*d - 1773 = 16*d. List the prime factors of d.
3, 197
Let v(n) = 369*n**2 + 25*n + 44. List the prime factors of v(-2).
2, 3, 5, 7
Suppose -4*f + 4*o = 126 - 2274, -2709 = -5*f - 3*o. List the prime factors of f.
2, 3, 5
Let j be (91/3)/7*(-10 + 1). What are the prime factors of -2*j/9*9?
2, 3, 13
Let g = 86 + -43. List the prime factors of g.
43
Let x(s) = 8*s**3 + s**2 - 7*s + 9. What are the prime factors of x(4)?
509
List the prime factors of (-20)/5 + 6 - (-5277 + 2).
3, 1759
Let r(j) = j**3 - 7*j**2 + j - 4. Suppose -6 = x - 13. Let l be r(x). Suppose l*o = -4*h + 2, 2*o + 3*o + 3*h - 18 = 0. List the prime factors of o.
2, 3
Suppose 4*n - 5*m = -590 + 3818, 5*n + 3*m = 3998. List the prime factors of n.
2, 401
What are the prime factors of 1422 + -2 + 17 + -12?
3, 5, 19
Let y = -47 + 131. Let b = y + -42. Suppose -4*i - b = -11*i. List the prime factors of i.
2, 3
List the prime factors of (4 - 3)*4675/17.
5, 11
Suppose -18 = -2*x - 8. Suppose -6*s + s + 25 = 0. Suppose b - 14 = 2*a - s, -b = 5*a + x. List the prime factors of b.
5
Let j = 43 - 27. Suppose -21*z + j*z + 495 = 0. What are the prime factors of z?
3, 11
Let k = 5 - 3. Suppose -k*g = g + 5*a + 3, 2*g - 11 = a. Suppose 0 = g*s - s - 63. What are the prime factors of s?
3, 7
Let a be 8 - 5 - (-5 - 2). Let z(i) = i**2 + 3*i - 5. Let m be z(-4). List the prime factors of m - a*2/(-4).
2
Let z = -916 + 1863. List the prime factors of z.
947
What are the prime factors of (25/(-10))/((-1)/2) - -4585?
2, 3, 5, 17
Let q(c) = -c + 4. Let i(k) = -k + 3. Let v(g) = -5*i(g) + 6*q(g). Let w be v(7). Suppose h = u + 3*u - 44, -w*u = h - 16. List the prime factors of u.
2, 5
Let n be (18/(-12))/((-3)/136). Let c = -19 + n. What are the prime factors of c?
7
Let a = 2308 + -907. What are the prime factors of a?
3, 467
List the prime factors of (-1640)/5*135/(-40)*2.
2, 3, 41
Suppose 2*s = -11*s + 247. List the prime factors of (-586)/(-4) - s/38.
2, 73
Suppose 0 = 3*p + 2*w - 6, -3*w + 7 - 16 = 0. Suppose 0*v + 4*v = -3*m + 2, -m = p*v - 6. What are the prime factors of (v - (-6)/1) + 0?
2
Let p(g) = g**3 + 7*g**2 - 41*g + 16. Let b(l) = l**3 + 6*l**2 - 42*l + 16. Let i(o) = 5*b(o) - 6*p(o). List the prime factors of i(-15).
7, 17
Let v be (0 - -3)*(1/(-3) - -1). Suppose -4*p + v*f = 7*f - 59, p = -f + 16. What are the prime factors of p?
3, 7
Suppose -2*r + 77 = -r. Suppose 6*h = 563 - r. List the prime factors of h.
3
Suppose -2*x + 195 = 3*z, 3*x = 3*z - 139 - 41. List the prime factors of z.
3, 7
Suppose 126 = 3*t + 3*i, t - 3*i = 22 + 32. Let w be ((-2)/4)/(1/(-6)). Suppose 3*y - 75 = -5*b - y, -2*y = -w*b + t. List the prime factors of b.
3, 5
Let j(p) = -3*p**2 - 7*p + 1. Let b(t) = -4*t**2 - 7*t. Let v = 0 + 3. Let h(k) = v*j(k) - 2*b(k). List the | {
"pile_set_name": "DM Mathematics"
} |
alculate the greatest common factor of 76 and 133.
19
Calculate the highest common factor of 1 and 233.
1
Calculate the greatest common divisor of 46 and 2806.
46
Calculate the highest common divisor of 116 and 22562.
58
Calculate the highest common factor of 1 and 2048.
1
What is the greatest common divisor of 96 and 2208?
96
What is the highest common factor of 161 and 252?
7
What is the greatest common factor of 3330 and 900?
90
What is the greatest common divisor of 20 and 12?
4
What is the highest common factor of 1536 and 48?
48
Calculate the highest common factor of 505 and 202.
101
What is the greatest common divisor of 380 and 2565?
95
What is the highest common factor of 180 and 16020?
180
Calculate the highest common factor of 192 and 33888.
96
What is the highest common divisor of 9 and 6?
3
Calculate the highest common factor of 1819 and 34.
17
What is the highest common divisor of 2587 and 13?
13
What is the greatest common factor of 112 and 1024?
16
Calculate the greatest common divisor of 116 and 1508.
116
What is the highest common divisor of 121 and 3069?
11
What is the greatest common divisor of 2259 and 3?
3
Calculate the greatest common divisor of 111 and 2257.
37
What is the greatest common divisor of 3 and 49?
1
What is the greatest common divisor of 56 and 128?
8
What is the highest common divisor of 13 and 26?
13
What is the highest common divisor of 184 and 23?
23
Calculate the highest common divisor of 119 and 68.
17
What is the greatest common factor of 36 and 90?
18
What is the greatest common factor of 80 and 10?
10
Calculate the highest common factor of 424 and 8.
8
Calculate the highest common divisor of 28 and 532.
28
Calculate the greatest common divisor of 294 and 1372.
98
What is the highest common divisor of 7504 and 448?
112
Calculate the highest common factor of 7 and 13657.
7
Calculate the highest common divisor of 2989 and 61.
61
What is the highest common divisor of 130 and 3510?
130
Calculate the highest common factor of 25 and 126.
1
Calculate the highest common divisor of 41 and 369.
41
Calculate the greatest common divisor of 54 and 594.
54
What is the greatest common factor of 32 and 424?
8
What is the highest common factor of 26 and 1417?
13
Calculate the highest common factor of 2 and 2448.
2
Calculate the highest common divisor of 21105 and 315.
315
Calculate the greatest common factor of 14 and 126.
14
What is the highest common factor of 38 and 8018?
38
What is the greatest common factor of 210 and 798?
42
What is the highest common factor of 160 and 2350?
10
Calculate the greatest common divisor of 1104 and 2346.
138
Calculate the greatest common factor of 493 and 58.
29
What is the greatest common factor of 6 and 30?
6
Calculate the greatest common divisor of 153 and 187.
17
Calculate the highest common factor of 147 and 168.
21
What is the greatest common factor of 39 and 3003?
39
Calculate the greatest common factor of 1647 and 27.
27
What is the greatest common factor of 35 and 28315?
35
What is the greatest common divisor of 54 and 288?
18
Calculate the highest common divisor of 356 and 13261.
89
What is the highest common divisor of 1030 and 90?
10
What is the greatest common factor of 105 and 595?
35
Calculate the highest common divisor of 123 and 4469.
41
What is the highest common factor of 425 and 85?
85
Calculate the greatest common divisor of 6 and 294.
6
Calculate the highest common factor of 333 and 24.
3
What is the greatest common factor of 9 and 1359?
9
Calculate the highest common factor of 80 and 40.
40
What is the greatest common divisor of 14 and 134680?
14
What is the greatest common factor of 45543 and 323?
323
Calculate the highest common divisor of 452 and 16.
4
Calculate the greatest common divisor of 22 and 134.
2
Calculate the highest common divisor of 244 and 20.
4
What is the highest common factor of 9774 and 54?
54
What is the greatest common divisor of 189 and 84?
21
Calculate the highest common factor of 6 and 156.
6
Calculate the highest common divisor of 117 and 559.
13
What is the greatest common factor of 3 and 9?
3
Calculate the highest common divisor of 975 and 1875.
75
What is the highest common divisor of 189 and 315?
63
Calculate the greatest common factor of 540 and 2970.
270
What is the greatest common factor of 4116 and 12?
12
Calculate the greatest common factor of 165 and 66.
33
What is the greatest common divisor of 882 and 18?
18
What is the highest common divisor of 13244 and 11?
11
What is the greatest common divisor of 3 and 1551?
3
Calculate the highest common divisor of 100 and 32.
4
What is the greatest common factor of 672 and 42?
42
What is the greatest common divisor of 549 and 3782?
61
Calculate the highest common divisor of 8 and 34.
2
Calculate the greatest common factor of 184 and 88.
8
Calculate the greatest common factor of 9 and 2979.
9
Calculate the greatest common factor of 39731 and 67.
67
Calculate the greatest common factor of 33 and 306.
3
What is the highest common factor of 6 and 456?
6
What is the highest common factor of 2195 and 5?
5
Calculate the greatest common divisor of 36 and 63.
9
Calculate the greatest common divisor of 7 and 875.
7
What is the highest common divisor of 20 and 44420?
20
Calculate the highest common factor of 230 and 355.
5
Calculate the highest common factor of 59 and 2124.
59
Calculate the highest common divisor of 6 and 438.
6
What is the highest common factor of 67621 and 19?
19
Calculate the highest common factor of 27 and 999.
27
Calculate the greatest common divisor of 132 and 22.
22
Calculate the highest common divisor of 116 and 4.
4
What is the greatest common factor of 92038 and 17?
17
What is the greatest common factor of 77 and 154?
77
Calculate the greatest common factor of 3122 and 56.
14
What is the greatest common factor of 364 and 52?
52
Calculate the greatest common factor of 32 and 380.
4
Calculate the greatest common factor of 2 and 58.
2
What is the greatest common divisor of 30 and 230?
10
Calculate the highest common factor of 183 and 1769.
61
Calculate the greatest common divisor of 132 and 1221.
33
What is the greatest common divisor of 26 and 9997?
13
What is the greatest common divisor of 32 and 1?
1
Calculate the highest common divisor of 60 and 7185.
15
Calculate the greatest common divisor of 2862 and 378.
54
Calculate the highest common factor of 4 and 46.
2
Calculate the highest common divisor of 1271 and 82.
41
What is the highest common factor of 6208 and 97?
97
Calculate the highest common factor of 40 and 1080.
40
Calculate the highest common divisor of 1 and 47.
1
Calculate the highest common factor of 28 and 27132.
28
Calculate the highest common divisor of 370 and 250.
10
Calculate the greatest common factor of 30 and 6606.
6
Calculate the greatest common divisor of 44 and 143.
11
Calculate the greatest common factor of 21 and 14.
7
Calculate the greatest common divisor of 1323 and 4725.
189
What is the highest common divisor of 18 and 22?
2
Calculate the highest common divisor of 33 and 39.
3
What is the greatest common factor of 222 and 1258?
74
What is the greatest common factor of 6109 and 82?
41
What is the highest common divisor of 16 and 688?
16
Calculate the greatest common divisor of 704 and 1628.
44
Calculate the greatest common factor of 2715 and 15.
15
Calculate the highest common divisor of 3336 and 24.
24
What is the greatest common factor of 94 and 18?
2
Calculate the greatest common factor of 1243 and 110.
11
What is the highest common factor of 66 and 198?
66
What is the highest common factor of 60 and 570?
30
Calculate the greatest common divisor of 56 and 16.
8
Calculate the greatest common divisor of 430 and 258.
86
What is the greatest common factor of 6 and 16?
2
Calculate the greatest common divisor of 1314 and 549.
9
What is the greatest common divisor of 207 and 4761?
207
What is the highest common factor of 12 and 372?
12
What is the highest common factor of 17 and 272?
17
Calculate the greatest common divisor of 24173 and 23.
23
What is the highest common divisor of 54 and 24?
6
What is the highest common factor of 72 and 168?
24
What is the highest common factor of 56 and 6524?
28
Calculate the greatest common factor of 28 | {
"pile_set_name": "DM Mathematics"
} |
and give w.
2
Rearrange -2*j + 5*j + 140*j**3 - 3*j**2 - j - 142*j**3 to u*j**2 + m*j + x*j**3 + w and give m.
2
Rearrange f**3 - 2*f**3 + 6*f + 2*f**3 + 3*f**2 - 4*f to the form s*f + j + a*f**2 + n*f**3 and give a.
3
Rearrange (-5 + 10 + 1 + (-6 + 1 + 3)*(-2 + 0 + 0))*(-2*q + 2*q + q**2) to g + u*q + s*q**2 and give s.
10
Express (4 - 4 - 2)*(2 + 1 + 2)*(-2*f**2 - f**2 - 2*f + 4*f**2) in the form c*f**2 + j*f + m and give j.
20
Rearrange 8*j + 3*j + 0*j + 5*j to q + o*j and give o.
16
Express -24*v**3 + 2 - 6*v**2 + 43*v**3 - 20*v**3 as g + y*v**3 + c*v + d*v**2 and give d.
-6
Rearrange (31 - 8 - 1)*(n**4 - 3*n**4 + 4*n**4) to the form v*n**4 + u*n**2 + b + l*n + g*n**3 and give g.
0
Rearrange p**4 + 2*p**4 - 4*p**4 + (2*p - p - 3*p)*(-p**2 + 2*p**3 + p**2) to g*p**3 + a*p + t*p**4 + y + x*p**2 and give t.
-5
Express 2*i - 9*i - 7*i - 4*i in the form l + v*i and give v.
-18
Express (-2 + 1 - 4)*(-2*z - 2*z**3 + 2*z)*(-23 + 23 + 14*z) in the form w*z + j*z**2 + a + t*z**4 + x*z**3 and give t.
140
Rearrange 9 + 4 - 12 + 6*b**2 to v*b + t*b**2 + d and give t.
6
Express -3*x + 3*x + 4*x - 2*x as t + f*x and give f.
2
Rearrange 77*n + 38*n - n to y + x*n and give y.
0
Rearrange (-3*v**2 + 3*v**2 - v**2)*(4 + 0 - 6)*(13*v - 70 + 70) to the form m*v**2 + r + z*v + q*v**3 and give q.
26
Express (-1 - 1 + 4)*(-c**2 + 2*c**2 - 3*c**2)*(23*c + 23*c - 48*c) in the form y + l*c + f*c**2 + u*c**3 and give u.
8
Express 33*s**2 + 39 - 39 as k*s + u + v*s**2 and give v.
33
Express -7*a + a**3 + 3*a + 2 + 3 - 2*a**2 + 0*a**2 in the form q + y*a + o*a**3 + p*a**2 and give p.
-2
Express 2*f**2 + 33 + 39 + f**4 - 73 + 2*f**3 in the form l*f**2 + z*f + u + d*f**4 + c*f**3 and give l.
2
Rearrange 2*j**2 + 15*j + 2*j**2 - 5*j**2 + 0*j to g*j**2 + a + t*j and give g.
-1
Rearrange (2 + i - 2 - 2*i**3)*(-2*i + 4*i - i - i + 2*i - 2*i + (-1 + i + 1)*(2 - 7 + 3) - 7*i - i + 4*i) to s*i + r*i**3 + p*i**2 + q + a*i**4 and give p.
-6
Express 13 - 13 + 5*a**2 in the form t*a**2 + j + k*a and give t.
5
Express 4*b**3 + 4*b + 2*b**2 - 3*b + 3*b**4 - 42 + 44 in the form q*b**4 + g*b**3 + x*b**2 + u*b + h and give h.
2
Express (3*c**3 - c**3 - 4*c**3)*(134*c - 268*c + 114*c) as o*c**3 + w*c**2 + r + l*c + g*c**4 and give g.
40
Express -6 + 10 - 4 - 14*l as z*l + u and give z.
-14
Rearrange -6*g**3 + 13*g**2 + 2*g + 4*g**3 - g to the form r*g + m*g**2 + o*g**3 + y and give r.
1
Express -2 - u**3 + 15*u**2 - 4*u - 13*u**2 - 2*u as h*u + s*u**2 + v*u**3 + c and give s.
2
Express (3*w - 2*w + 2*w)*(-8*w - w - 7*w) as x + p*w + d*w**2 and give d.
-48
Rearrange -6*t**2 + 2*t - t - t to the form p*t**2 + z*t + i and give p.
-6
Rearrange (6*j**2 - 2*j**2 - 3*j**2)*(-1 + 2 + 1)*(5*j + 14*j + 9*j) to the form i*j + t*j**3 + a*j**2 + o and give t.
56
Express 3*s**3 - 3*s**3 - 3*s**4 + (-11*s**2 + 4*s**2 + 3*s**2)*(3 - 3 + 2*s**2) in the form x*s + v*s**2 + d + a*s**3 + g*s**4 and give g.
-11
Express -20*g**2 + 1 + 0 + g - 4*g**2 + (-3 + 3 - 2*g)*(-g + 2 - 2) in the form s + u*g + o*g**2 and give u.
1
Express 36*b - 2*b**3 - 11*b - 1250*b**2 + 1248*b**2 as y + u*b + t*b**2 + c*b**3 and give u.
25
Express 12 - 14 - 3*q**2 + q**2 as h*q**2 + u*q + y and give u.
0
Rearrange (1 + 6*q - 2*q - 5*q)*(-18*q**2 + 14 + 21 - 34) to the form b*q + w + v*q**3 + s*q**2 and give w.
1
Rearrange -2 + c**4 - 3 + 0*c**2 + 6 + 4*c**2 + 2*c**3 to g*c**3 + m*c**2 + u*c + s + r*c**4 and give g.
2
Rearrange 231*a - 114*a - 118*a - 2*a**4 - a**2 to f + l*a**4 + b*a + v*a**2 + q*a**3 and give v.
-1
Rearrange 20*y - 35*y - 5*y - 33*y to v*y + g and give v.
-53
Rearrange -7*m**2 + 17*m**2 - 7*m**2 - 3 - 27 to q + t*m**2 + z*m and give t.
3
Express -10 + 17 - 7 - 13*d in the form r*d + i and give r.
-13
Express -7*t**2 + t**2 - 27*t**2 - 6*t**2 in the form b + z*t + m*t**2 and give m.
-39
Rearrange 0*i + i - 3*i + (-15*i - 7 + 7)*(-1 + 1 - 1) - 3*i + 2 + 0 + i to the form l*i + n and give l.
11
Rearrange (-p**4 - 2 + 2)*((-9 + 7 - 7)*(12 - 25 + 7) + 3 + 0 - 4 + (-1 + 2 + 0)*(4 - 1 - 4)) to the form w + o*p**2 + m*p**3 + c*p**4 + r*p and give m.
0
Express u**4 + 2*u - 1 - 2*u - 2*u**4 + 2*u**2 + 2*u**3 as d*u + r*u**2 + g*u**3 + v + t*u**4 and give v.
-1
Rearrange 18*u**2 + 44 - 21 - 22 to the form r + z*u**2 + y*u and give z.
18
Express 5*o + 3 + o - 7*o + (1 - 1 - 1)*(7*o + 2*o - 4*o) as j*o + l and give l.
3
Rearrange 1 - 10*l**4 + l**3 + l**3 + l**3 + l**2 + 12*l**4 to the form g*l**4 + t*l**2 + h*l**3 + q*l + b and give t.
1
Rearrange 7*s**2 + 3*s**2 + 4*s**2 + (9*s - 4*s + 3*s)*(-2 - s + 3*s - 3*s) to the form b + k*s**2 + y*s and give k.
6
Express (-58 - 13 + 25)*(3*q**3 + 0*q**2 + 0*q**2) in the form l*q + u*q**3 + f*q**2 + j and give u.
-138
Rearrange -2*n**2 - n + n + (22 + 2*n - 12 + 24)*(2*n + 2*n - 6*n) to x + r*n + t*n**2 and give r.
-68
Express (0*h**2 - 6*h**2 + 0*h**2)*(2*h**2 + 4*h - h**2 + 0*h) as g + o*h**4 + v*h**3 + w*h**2 + z*h and give v.
-24
Express 2*k**2 - 2*k + 0*k**2 - 8 - k**3 + 2*k in the form t*k**3 + v*k**2 + x + s*k and give x.
-8
Rearrange 10*n**3 - 7*n**3 - n**3 + 2*n**4 - 2*n**2 to the form q*n**4 + f*n**2 + r + c*n**3 + v*n and give f.
-2
Express 8*x - 7*x - 2*x as z*x + i and give z.
-1
Rearrange -6*v + 2*v + v + (0*v + 0*v + 2*v)*(0 - 3 - 2) to the form g + n*v and give n.
-13
Rearrange 1 - 60*z**2 - 4 + 58*z**2 - 11*z**3 to v*z**3 + k + m*z + j*z**2 and give v.
-11
Express (-3 - 161*a + 159*a + 3*a**2 + 1)*(-3 + 21 - 11) in the form o*a + h + g*a**2 and give o.
-14
Rearrange -337 + 3*n + 306 - 2*n + n to the form f + x*n and give x.
2
Rearrange 74*g + 2 - 12*g - 2 to o*g + f and give o.
62
Rearrange (-1 - 1 + 3)*(l - 4*l + 5*l + l + 2 - 2 + (-3*l + l + 0*l)*(-1 + 1 - 2) + l + l + 0*l - 62*l + 94 - 94) to u + s*l and give s.
-53
Express 2*o**3 - 3*o**3 + 4*o**3 + (-5*o**2 + o**2 + 3*o**2)*(2*o - o + 0*o) as l*o**3 + k*o**2 + j*o + a and give l.
2
Rearrange (21 - p - 21 + (2 - 5 + 2)*(-p + p + 2*p) + p + 5 - 5 + 2*p - 3*p - p)*(-3 + 7*p + 3) to the form r*p + d*p**2 + n and give d.
-28
Rearrange 3*g**4 + g - g + (2*g - 2*g - 2*g)*(0*g**3 - 2*g**3 + 0*g**3) + 4*g**3 + g**4 - 4*g**3 to d*g**4 + a*g + s + m*g**3 + i*g**2 and give d.
8
Express (1 - 4*g + 5*g - 2*g)*(1 - 1 - 2*g)*(-398*g**2 + 405*g**2 + 294*g**2) as w*g**4 + d*g + l*g**3 + n + x*g**2 and give l.
-602
Express (4 - 2 + 0)*(-z - 1 + 1) - z + 4 - 4 - 1 - 3*z + z - z as m*z + h and give m.
-6
Express 1152*g**2 - 40*g - 1154*g**2 - 80*g in the form f*g**2 + o + r*g and give f.
-2
Rearrange 140*k**2 + 280 - 280 - 3*k + 2*k - 2*k - k**2 + (-5*k + k + 2*k)*(-2*k - 2 + 2) + 3*k**2 + 3*k**2 - 5*k**2 to w*k + d*k**2 + b and give d.
144
Express 6*i**3 - 4*i + i + 3*i**2 - 5*i**3 in the form r + y*i**3 + u*i + n*i**2 and give y.
1
Express (-2*g + 4*g + 2*g)*(-2 + 3 + 0) + (-10 + 10 - 2*g)*(-1 - 1 + 0) as y*g + w and give w.
0
Express 0*p + 2*p - 3*p + (4 - 2 - 1)*(2 + 3 - 3)*(12*p - 9 + 9) as m + l*p and give l.
23
Express -5*s + 2*s - 21 + 16 + 13 as z*s + t and give t.
8
Express -3*h**2 - 22*h - 2*h**2 - 22 + 22*h in the form p + l*h**2 + c*h and give c.
0
Rearrange (2*b**2 + 2*b**2 - 5*b**2)*(0 - 1 - 2)*(5*b - 6*b + 0*b + 12) to the form p*b**2 + v*b**3 + n*b + i and give n.
0
Rearrange (3*q + q - 16*q)*(2*q - q + q) to the form j*q**2 + s*q + c and give s.
0
Rearrange (-z - 37 + 107 + 108)*(3 - 1 - 1) to n + b*z and give n.
178
Rearrange (-4*n + 2*n + 3*n)*(-3*n + 3*n + 2*n) + (n - n - 4*n)*(-n - 2*n + 4*n) to o + z*n + c*n**2 and give c.
-2
Rearrange -141 - 6*g + 140 + 3*g - 2*g to w + y*g and give w.
-1
Express -1 - 3*g**2 + 3 - 2*g**2 + 6*g**2 in the form i*g + k*g**2 + d and give d.
2
Express -2*a**2 - 3*a**2 + 4*a**2 + 12*a in the form y + x*a + f*a**2 and give f.
-1
Rearrange -88*v**3 - v + 120*v**3 - v to n*v + l*v**2 + m + b*v**3 and give n.
-2
Express 8*p**4 - 10*p**4 - 2*p**3 - p**3 - 2*p + 0*p**3 as h*p**4 + d*p**2 + g*p**3 + f*p + z and give g.
-3
Rearrange (4 + 0 - 6)*(-100*w**3 + 5843 - 5843) to x*w**2 + l + m*w**3 + g*w and give m.
200
Rearrange 10 - 6 - 9*r + r to a*r + m and give a.
-8
Express 9 - 4 + 39*o - 1 - 3 in the form l*o + a and give l.
39
Rearrange 0*s - 2*s**2 + 0*s + (-s - 2*s + s)*(-4*s - 2*s + 3*s) - 5*s**2 + s**2 + 3*s**2 + 3*s**2 + 4*s**2 - 5*s**2 to l*s**2 + o*s + w and give l.
5
Express 11 | {
"pile_set_name": "DM Mathematics"
} |
30 for n.
3
Solve -4*w + w + 23 = -s - 8*w, 11*w + 11 = 3*s + 7*w + 3*w for s.
2
Solve -4*m - 399*l = 383, -182*m = -179*m + 2*l - 10 for m.
4
Solve 49*y = 2385*b - 2383*b - 823, 105 = -4*b - 5*y for b.
-5
Solve -5*x - 106 = -3*t, 5*x - 7*x - 2*t + 59 + 24 = 7*x for x.
1
Solve 48 = 3*i - 3*a, -1812664*a = 3*i - 1812661*a - 30 for i.
13
Solve -1833*g - 60 = -1823*g - 5*n, 4*n + 20 = 92 for g.
3
Solve 2*h = 38*j + 36, -23485*j - 23490*j + 46970*j + 5*h = 90 for j.
0
Solve 66*k - 66 = 64*k + 4*x, k = 2*k + x - 27 - 18 for k.
41
Solve 2*y = -2*d + 38, -149538*d + 149535*d + 63 = y for y.
-3
Solve -74*q + 2*y - 14 = -76*q, -2768*q = -2773*q + 8*y + 9 for q.
5
Solve -3*a - p + 181 = 197, 4*a - 3*p = 35 for a.
-1
Solve 5*m + 5*y = -35, 0*m - 2503*y = -3*m - m - 2500*y for m.
-3
Solve -p + 34 = 5*k - 7, -32*k + 31*k + 11*p - 2093 = -30*p for k.
-2
Solve 6339*i - 3*p = 6341*i + 53, 5*i = -p - 100 for i.
-19
Solve -4678*x + 4*o - 26 = -4677*x, -x = -5*o + 33 for x.
2
Solve 4*r - 48 = 4*v - 40, 5*v = 3*r - 12 for r.
-1
Solve 3*h + 4*i = 52, 18*h - 145*i = -149*i + 352 for h.
20
Solve 2*t - 20*p = -6*p - 8*p - 4*p - 24, -409*t - 3*p = 3672 for t.
-9
Solve -4*a + 4*a - 3*d + 33 = -a, -1051*a = d - 0*d + 2*d + 3123 for a.
-3
Solve -4*n + 84 = -24*w - n, w - 8*n - 28 = 0 for w.
-4
Solve -x + 4*f + 88 = 0, -46028*x + 46044*x - 3*f - 5 = 0 for x.
-4
Solve 0 = -2*j + 7*y - 420, 2*j = -155*y + 151*y + 240 for j.
0
Solve 0 = -i - 42*s - 255, 5*s - 18119 = -5*i - 18164 for i.
-3
Solve -3*w - 4*h + 648442 - 648615 = 0, -2*h - 88 = 0 for w.
1
Solve -4*x - 76 + 176 = 4*s, -4*x + 151 = 2*s + 51 for x.
25
Solve -m - 3 = -5*n + 142 - 128, 2 = 5*m + 4*n for m.
-2
Solve -3*i + 64*a + 15 = -87*a - 36, -5*a = 0 for i.
17
Solve -5*c + 598*v - 18 = 625*v, -5*v - 22 = 3*c for c.
-9
Solve -2*u - 59 = -6*t + t - 19, -50*t = u - 190 for u.
-10
Solve 6*y = 2*k - 16, -4*k + 4*y + 5601 - 5577 = 0 for k.
5
Solve -3*b = 9, t + 7*t - 9*t + 31 = -9*b for t.
4
Solve -4*c - 73 - 49 = -3*t, -4*c = -7*c - 10*c + 5*t - 235 for c.
-5
Solve 4*g - 15*l - 14 = -13*l, 79*l - 48*l - 93 = 0 for g.
5
Solve -8*h - 137 = -4*h + 4*r - 13, 2 = r for h.
-33
Solve -2*f = 2*m + 3*f - 112, 8*m - 3*m + 68 = 2*f for m.
-4
Solve 0 = -2*d - 1886*k + 1880*k + 54, 5*d + k - 3*k = 50 for d.
12
Solve -2*a + 4*j + 987 = 963, -3*a + 3*j = -12 for a.
-4
Solve -15 = -3*h + 3*x, -60 + 21 = -3*h - 3*x - 24 for h.
5
Solve -g = t - 3*t + 24, 2*g + 3*t + 21000 = 21029 for g.
-2
Solve 2*d + 6*p - 13 = 7*p, 55*p + 616 = -d + 12 for d.
1
Solve -4*p + 29*w = -83, -5*p + 5*p + 2*w = 31*p + 3*w + 34 for p.
-1
Solve 0 = -w + 162*q - 165*q - 10, 0 = -2*w - 5*q + q - 14 for w.
-1
Solve -3*t = 5*a - 62, -74*a + 9 = -147*a + 73*a - 31*t - 30 + 8 for a.
13
Solve 25*g - 23*g - 123 = 3*n, -79*g - 2*n = -4979 for g.
63
Solve -54*g + 9*t = -59*g - 53, -6*t = 5*g - 8*g - 3*t - 57 for g.
-16
Solve -2*y - b - 36 - 136 = -4*y - 10*y, 62*b = 63*b + 4 for y.
14
Solve -34 = -c - 33, 5*c - 29 - 13 = x + 23 - 19 for x.
-41
Solve 5*i + 20 = -u + 1, -3*i + 43 = 55*u for i.
-4
Solve l + 41 = -5*d, 5*d = 643*l - 332*l - 313*l - 42 for d.
-8
Solve 14264*w = 2*c + 14269*w + 38, 43 = 3*c - 5*w for c.
1
Solve 18 = -37*b + 2*h + 1 - 1, -4*b = 2*h + 64 for b.
-2
Solve 3*o + 22*v = 198, -v + 1742 = -3*o + 1733 for o.
0
Solve -5*b = -22*c + 17*c - 265, 2*c + 32*b + 1810 = 111*b - 2300 for c.
-1
Solve 46*n - 55 = 213*x + 48*n - 308, 4*x - 3*n = -2*n - 16 for x.
1
Solve -4*y - 264 = 7*d, 5*d + 171 = 7222*y - 7219*y for d.
-36
Solve 38 = 4*k - 4*s - 25 - 49, -s = 30 for k.
-2
Solve k - 4*l - 35 = 0, 3*k + 76345*l = 76346*l + 6 for k.
-1
Solve 3*a - 8*v + 332 = 327, -a - 15 = 4*v for a.
-7
Solve 0 = -3*s + 5*y - 63, 0*s + 1244 = 5*s - 8*y + 1350 for s.
-26
Solve 45*b = y + 44*b + 10, -7*y + 2*b = 45 for y.
-5
Solve -1917*u + 2*z = -958*u - 956*u + 6 - 1, 3*z = 7*u + 5 for u.
1
Solve 3*z + v + 3 = -v, 11*z + 110 = v + 99 for z.
-1
Solve 0 = -19*c + l + 13, 5*c - 29 = 277470*l - 277474*l for c.
1
Solve -9*o = -6*d - d + 4*d + 102, -d - 5*o + 26 = 0 for d.
31
Solve -b - 2*w = 172 - 228, -184*b - 94 = -175*b - 5*w for b.
4
Solve 210 = -2*a + 5*v, -3*a - 6269*v = -6214*v - 2310 for a.
0
Solve -11*v + 118 = 3*k, 2768 = 5*k - 20*v + 2993 for k.
-1
Solve 2*x + 1716*d - 8 = 1856*d, d - 16 = -4*x for x.
4
Solve 795*u + 2037 = 798*u + 30*x - 3*x, 20*x - 1495 = -5*u for u.
-5
Solve 44 - 36 + 32 = 5*r + 4*k, 0 = -4*r - 9*k - 2*k + 149 for r.
-4
Solve 31*i - 4*a + 558 = 0, -11276*i + 11271*i - a - 90 = 0 for i.
-18
Solve 5*a = -3*c - 567 - 662 + 1167, a + 14 = 4*c - 2*a for c.
-4
Solve 41*k = -5*p + 13*k - 56, -341*k + 338*k = -3*p + 6 for p.
0
Solve 27*a - 454*c + 451*c = -25*a + 65, 2*c - 34 = -4*a for a.
2
Solve 4*r + 64 - 266 = r + b, 1049 = -113*r - 3*b + 8495 for r.
66
Solve 4 = -o + 5*m, -2*o + 300*m - 20 = 284*m for o.
6
Solve a - 3*a + 2*n + 104 = 0, -a - 66*n + 61*n - 236 = 0 for a.
4
Solve -6*q = 3*p + 17 - 233, -16*q = q + p + 4*p - 612 for q.
36
Solve -4*o + g + 8 = 0, 0 = 6189*o - 6194*o - g - 8 for o.
0
Solve 3*a - 414 + 42 = 7*u, 0*a - 2*a = 2*u - 3*a + 106 for u.
-54
Solve 0*a - 3*a - 18 = -3*r, 5*a + 5*r + 61 = 217 - 86 for a.
4
Solve 8*h + 2*q + q - 46040 = -46018, 2 = -6*q + 3*q - 16 for h.
5
Solve 4*r + 25*y = 13*y + 8*y, -4*r + 5*y - 2*y - 30 = -r for r.
-5
Solve 5*y + 5*i - 25 = 0, y + 6*i - 2017 = -1992 for y.
1
Solve 0 = -4*g + 5*j + 5, 7*g - g + 3*j + 58 = 97 - 0 for g.
5
Solve -4*n - a - 4379 + 4353 = 0, 36*a = -504 for n.
-3
Solve 28 = -4*j, -4*j - 192 = 2*i - 174 for i.
5
Solve -2*c - 3*c = -25, 11*b - 56 = 2*b + 3*c + 2*c for b.
9
Solve 79 = 4*s - 6*t - 0*t - 5*t, -s - 5*t = 19 for s.
6
Solve -2*m - 1541 = -42*k - 1765, 5*k + 4*m - 3 = 0 for k.
-5
Solve 5 = x - a, a - 5400 = -x - 5405 for x.
0
Solve -5*p + 3*h + 5 = 0, -2050 = 5*p - 11*h - 2055 for p.
1
Solve -h - 4*n = -3*h + 28 - 72, 4*n - 32 = -h for h.
-4
Solve -115 = -3137*y + 3141*y + o, 17*o - 162 = 5*y for y.
-29
Solve -3*y - 29*h = -25*h + 5, 17 = 7*y - 5*h for y.
1
Solve 0*r = -5*r + 6*t - 5*t + 25, 777 = -3*r + 159*t for r.
6
Solve -5*q - 2459 = 3*l - 2348, -9*q - 3*l - 111 = 0 for q.
0
Solve 69 = -28*y + x, -4*y = 76*x - 75*x - 5 for y.
-2
Solve -3*j = 4*c + 24, 11*j + 719 = -9*c + 648 for j.
-4
Solve l = 13*c - 160 - 6, 6*c - 39 = 3*c for l.
3
Solve -2*m + 22 = -4*l, 3*l - m + 8545 = -0*l + m + 8529 for l.
-6
Solve -15 = -4*n + 3*d, -5*n + 118 + 70 - 302 = 11*d for n.
-3
Solve 353*r = 349*r + 10*h + 308, -2*r - h - 2*h - 102 = 0 for r.
-3
Solve 0 = -4*k + 2*i + 18, -73*k - 18 = -74*k - 6*i - 7 for k.
5
Solve 1499 = -4*y - 4*f + 1623, -3*y - 37 = -2*f + 38 - 18 for y.
1
Solve i - 7 + 39 = -0*i - 3*i + 4*h, 132 = -12*i + 3*h for i.
-12
Solve -107952*q = -107954*q + 6*h + 6 + 2 - 0, -16 = 3*q - 2*h for q.
-8
Solve -2*p - 51 = p - 3*c, -44381*p - 7*c = -44376*p + 70 + 51 for p.
-20
Solve -b - 8 = -5*w + 30, 13*b + 11*w = -11*w + 115 for b.
-3
Solve 3*y + 11 - 12 = -2*p, -24 - 17 = -8*p - 49*y for p.
-1
Solve -9285*z - 5*w = -4643*z - 4638*z - 7 - 6, 0*w - 3*w + 1 = -z for z.
2
Solve -3*r = r + 5*k + 8, -5*r + 827 = -0*k - 3*k + 800 for r.
3
Solve 90 = -2*h + y, h + 7*y - 41556 = -41601 for h.
-45
Solve w - 4*r - 200 = -184, 0 = 95*w - r - 383 for w.
4
Solve 2*i - 70*y + 65*y = 15 + 15, 2*y = -258*i - 115*i + 1857 for i.
5
Solve 3*g - 16 = -p, 5*p + 5*g - 24 = 5*p + p for p.
1
Solve 7*q - 5*u = 123, 4*q - 82 = -84*u + 81*u for q.
19
Solve 0 = 11*y - 3*o - 23, 2*y + 14*o - 40 + 58 = 9*o for y.
1
Solve 80*t + 18 - 126 = -6*a + 83*t, -5*t = -a for a.
20
Solve -19*x - 77 = -7*x + a, -3*x - a - 2697 + 2710 = -6*x for x.
-6
Solve -145*a + 2*s = -143*a - 30, -3*s + 27 = 3*a for a.
12
Solve 0 = 14*x - 3*x + 23*u - 262, 0 = 2*x - 36683*u + 36686*u - 37 for x.
5
Solve -2*n + 4*n + 670 = 4*d + 686, -44*n = 5*d - 352 for n.
8
Solve -47*k + 135 = -16*k - 79*k + f, 2*k = 4*f + 220 for k.
-4
Solve 3*h - 122 = 19*r, -11365*r + 11362*r - 5*h + 30 = 0 for r.
-5
Solve 5*f - 8*g + 2*g + 4*g = -6*g - 11, 0 = -15*f + 5*g - 50 for f.
-3
Solve 0*j = -j - 1, -122 = 83*w - 80*w - 4*j for w.
-42
Solve 218 = -4*x + 9*a + 4*a, 16 = -x + 5*a - 70 for x.
4
Solve -51 = -2*v + 5*b, 28 + 8 = b - 5*b for v.
3
Solve -3*u + 13 = 2*x, 2*x - 139249*u + 42 = -139241*u for x.
-1
Solve -61 = 5*l + 5233*g - 5236*g, -3*g = -l - | {
"pile_set_name": "DM Mathematics"
} |
(e) 7 (f) -0.02 (g) -3/7
a
Which is the fourth smallest value? (a) 0.5 (b) -5/2 (c) -1.7 (d) 1572167 (e) 1/7
a
Which is the second biggest value? (a) -2/9 (b) -14 (c) 1 (d) 230574
c
What is the second smallest value in -3, -0.2, 0.2, -878914, 3?
-3
What is the fourth biggest value in 0.1, 385, 0.4, -1, 5?
0.1
Which is the third biggest value? (a) 3 (b) 0.4 (c) 1/54 (d) 2 (e) 2/3 (f) -7 (g) -0.1
e
What is the second biggest value in 2/3, -28, -4666/3, -1/5?
-1/5
What is the smallest value in -27, 8, 2/207, 1, -1/5, 4, 5?
-27
What is the seventh smallest value in -0.02, -2, 2, -5, -4, -2/3, -0.029?
2
Which is the fourth smallest value? (a) 0.062 (b) -57 (c) 92 (d) 16
c
Which is the third biggest value? (a) 8 (b) -0.3 (c) -172/9959
b
Which is the second biggest value? (a) 0.4 (b) -2/31 (c) 1757 (d) -0.1
a
What is the smallest value in 3, 1, -81614, 9?
-81614
Which is the second smallest value? (a) -67857 (b) 0.1 (c) -3
c
Which is the second biggest value? (a) 0 (b) 4/5 (c) -442/49 (d) 5 (e) 0.4 (f) -0.7 (g) 3/4
b
Which is the smallest value? (a) -1/1748 (b) -2 (c) -5 (d) 3 (e) 3/8 (f) -2/7
c
Which is the third smallest value? (a) 21.948 (b) 2/11 (c) -6/451
a
Which is the biggest value? (a) -680 (b) 15 (c) -2/67 (d) -15
b
What is the second biggest value in 58, 4, 4/7, 0.4, -3/5, -84?
4
What is the sixth biggest value in -1, 0.2, 49/2, -3, -13, -2242?
-2242
Which is the third smallest value? (a) 13 (b) -1/9 (c) 4/3 (d) 1701 (e) -0.2
c
What is the seventh biggest value in -0.3, 1/7, 2/15, 1/4, -1/207, -0.0693, -5?
-5
Which is the fourth smallest value? (a) 0.2 (b) -4 (c) -18792 (d) -6.9
a
Which is the third biggest value? (a) -0.1 (b) 3 (c) -1 (d) 0.27 (e) -3.4 (f) -8872
a
What is the smallest value in 172.71, 0.1, -0.4?
-0.4
Which is the third smallest value? (a) 0.408 (b) -0.5 (c) 0.3 (d) -4421
c
What is the fourth biggest value in 0.01, 24.63, 0.04, 2, -0.1, 1/3?
0.04
Which is the fourth biggest value? (a) 2 (b) -4 (c) -2/15 (d) -0.03355 (e) 0 (f) -7
c
Which is the sixth biggest value? (a) 0.5 (b) -0.1 (c) -0.3 (d) -0.4 (e) 2/7 (f) -26 (g) -34
f
What is the fourth biggest value in 0.2, -3.6, -1/4, -3, -333, 5, 3?
-1/4
Which is the second biggest value? (a) -39 (b) -157 (c) 16/11 (d) -1.4
d
Which is the third biggest value? (a) 0.4 (b) -3 (c) -0.029 (d) 520.7 (e) 4/9
a
Which is the second biggest value? (a) 3 (b) -2/13 (c) 1.52 (d) 2/11 (e) 5 (f) -2 (g) 1/479
a
Which is the seventh biggest value? (a) 0.0607 (b) -2 (c) 16 (d) -5 (e) 0.5 (f) -0.2 (g) -1/2
d
What is the third biggest value in -0.98, 0.2, 3/4, 1105?
0.2
Which is the biggest value? (a) -0.3 (b) -2/57 (c) -4 (d) 0.4 (e) 2 (f) 27 (g) -1/5
f
What is the second biggest value in -5, -0.346, 147?
-0.346
Which is the fifth biggest value? (a) -5 (b) -14 (c) 89 (d) 1155 (e) 2 (f) 0
a
Which is the fourth smallest value? (a) -2/5 (b) 2 (c) 462 (d) 189
c
What is the third smallest value in 0.5, 5, -1/453780?
5
What is the smallest value in 2, -15, -2/3, -41.13, 3, -0.55?
-41.13
What is the second biggest value in 2.5, 59, -11.042?
2.5
What is the second biggest value in 2, -1/41, 335988?
2
Which is the third smallest value? (a) -0.8 (b) 1/3 (c) -1/6 (d) 1/1026
d
What is the third biggest value in 0.4, -2/7463, -91?
-91
Which is the third smallest value? (a) -63 (b) 8 (c) -1/5 (d) 13 (e) 0 (f) 39
e
What is the second smallest value in -1, 47339, -151?
-1
What is the fourth biggest value in 1, -14716/7, 11/3, 37?
-14716/7
What is the sixth biggest value in -5, 2/15, 1, -551/21, 2, 1/4, -2.7?
-5
What is the fifth biggest value in 0.3, -27, -9, -69, -342?
-342
Which is the third smallest value? (a) 2/63 (b) -34.3 (c) -0.5 (d) -4 (e) 3 (f) 15 (g) 2
c
Which is the fifth biggest value? (a) -2 (b) -3 (c) -0.7 (d) 1 (e) 16 (f) 662
a
Which is the second biggest value? (a) -2/31 (b) 0.2 (c) 2379/2 (d) -1
b
Which is the third smallest value? (a) 0.03385 (b) 13.7 (c) -0.1
b
Which is the fourth biggest value? (a) -2 (b) -13/3 (c) 0.14 (d) -1 (e) -45/8 (f) 6
a
Which is the second smallest value? (a) -3/2 (b) -17 (c) -0.49 (d) -40/11 (e) 5/2
d
Which is the second smallest value? (a) 0.4 (b) -0.2 (c) 11/2 (d) 0.5 (e) 2/7 (f) -5/111
f
Which is the third biggest value? (a) 1/3 (b) -2 (c) 2040 (d) -7737
b
Which is the second biggest value? (a) -3/4 (b) 1/8 (c) -1 (d) -1/169 (e) -0.2 (f) -32 (g) 6
b
What is the fourth smallest value in -13, -0.1, 63/34, -0.005?
63/34
Which is the fourth smallest value? (a) -1 (b) 0.2 (c) 106 (d) 1 (e) -7 (f) -2/15 (g) -2/77
g
What is the biggest value in -847967, 0.2, 5?
5
What is the fourth smallest value in 1095, -2, 3, 9, -0.2, 1.5?
3
Which is the smallest value? (a) -3 (b) 233.39 (c) -0.06 (d) -5 (e) -2 (f) -67
f
Which is the biggest value? (a) 1 (b) 5 (c) 2007802 (d) 4
c
What is the third biggest value in -8/172533, 1/3, 0.1, 2/7?
0.1
Which is the fifth smallest value? (a) -1/3 (b) -3 (c) 1 (d) 0.4 (e) 842504
e
Which is the second biggest value? (a) -288 (b) -645/4 (c) -4
b
What is the second biggest value in 93323/2, 1, -39, 5?
5
What is the third smallest value in -1/804, 0.1, -300, -11?
-1/804
Which is the second biggest value? (a) 3 (b) 135797.4 (c) -5
a
Which is the third smallest value? (a) -0.366 (b) -0.5 (c) 1.4 (d) -22
a
What is the second smallest value in -710, 1, 2, 1103/5?
1
Which is the fourth biggest value? (a) 221 (b) -2/195 (c) -6 (d) 29
c
Which is the fourth biggest value? (a) 8 (b) -4 (c) -0.2 (d) -2 (e) -6/7 (f) 0.0026 (g) -1.8
e
Which is the third smallest value? (a) 193 (b) 221 (c) -96 (d) -2/5
a
What is the third smallest value in -0.113, 7621, 3/10?
7621
Which is the sixth biggest value? (a) 0.5 (b) -105 (c) -0.5 (d) 701 (e) 4 (f) -0.14
b
What is the third smallest value in 0.63, 0.1, -4, 5, -1, 1.5, -2?
-1
Which is the smallest value? (a) -46 (b) -2/13 (c) 0.16063 (d) -18
a
What is the fourth biggest value in -10, -2, 0.3, 9/5, -0.02, 18?
-0.02
What is the fourth smallest value in -97, -0.2, 3, 9295?
9295
Which is the fifth biggest value? (a) -1 (b) 0.031 (c) 1/6 (d) -43 (e) 1 (f) -2
f
Which is the fourth biggest value? (a) 0 (b) 2 (c) -0.5 (d) 118220
c
What is the fifth biggest value in 3, -5, 5.9, 0.6, -3, 1/46, -122?
-3
Which is the third smallest value? (a) 0.35 (b) 5 (c) -286 (d) 0.1 (e) -315
d
Which is the sixth biggest value? (a) 19 (b) -4 (c) -0.24 (d) 5 (e) 0.4 (f) -56/9
f
Which is the seventh smallest value? (a) -10 (b) 11 (c) -0.5 (d) -2 (e) -0.4 (f) -12 (g) -0.09
b
What is the seventh biggest value in -2, -3/8, 2, -3.21, -0.5, 1/5, -7?
-7
What is the third biggest value in 0, 1147568, 3, -1/2?
0
What is the seventh biggest value in 6/13, 8, -0.3, 1, 5, -0.082, 0?
-0.3
What is the second smallest value in -1/3, 2/7, 84, -0.1, 2, 32230?
-0.1
Which is the sixth biggest value? (a) 0 (b) -0.02 (c) 3/8 (d) 1/3 (e) -0.476 (f) 40
e
Which is the second biggest value? (a) 0 (b) -90 (c) 4470 (d) -0.5 (e) -0.4 (f) 2 (g) 5/6
f
Which is the fifth smallest value? (a) -3/2 (b) 2/17 (c) -11 (d) -0.5 (e) -33 (f) 0.5 (g) -6
d
What is the biggest value in 2/163, 19, 897, 11?
897
What is the fourth smallest value in 12, -2, -56/111, -2/19?
12
What is the biggest value in 0, 7, -2/47, 2/47, -10?
7
What is the biggest value in -0.3, 3, 8/7, 8/219, 1/4, 1/3?
3
What is the seventh smallest value in -5, 3, -1.89, 5/204, 0.4, 1, 2?
3
Which is the biggest value? (a) -964 (b) -7 (c) -3 (d) 0.066
d
What is the seventh smallest value in 0.1, -2, 412, -1, 4, 2/23, 2/9?
412
What is the biggest value in 0, 72955, -14, -5?
72955
Which is the third smallest value? (a) -811 (b) 3 (c) -10772
b
What is the biggest value in 13/193, -5, 1/3, -3?
1/3
Which is the second biggest value? (a) -0.34 (b) 4 (c) -0.01325 (d) -48 (e) 0.1
e
What is the second smallest value in -3/16, 0, -7, 0.056, 1, -0.2?
-0.2
What is the fifth smallest value in 0.06, -728, 1, -159/7, -0.4, 4/7?
4/7
What is the third smallest value in -1/4, -2, 4/3489, 2.714?
4/3489
Which is the biggest value? (a) -3 (b) 5 | {
"pile_set_name": "DM Mathematics"
} |
root of 250899 to the nearest integer?
6
What is 876649 to the power of 1/2, to the nearest integer?
936
What is the cube root of 275555 to the nearest integer?
65
What is 1995704 to the power of 1/2, to the nearest integer?
1413
What is the third root of 21185515 to the nearest integer?
277
What is 671626 to the power of 1/2, to the nearest integer?
820
What is 52221 to the power of 1/9, to the nearest integer?
3
What is 11851660 to the power of 1/2, to the nearest integer?
3443
What is the fourth root of 1569775 to the nearest integer?
35
What is the square root of 20836714 to the nearest integer?
4565
What is the ninth root of 274298 to the nearest integer?
4
What is 216186 to the power of 1/9, to the nearest integer?
4
What is 6105686 to the power of 1/8, to the nearest integer?
7
What is 599432 to the power of 1/7, to the nearest integer?
7
What is the fourth root of 328855 to the nearest integer?
24
What is 163457 to the power of 1/2, to the nearest integer?
404
What is the sixth root of 1434336 to the nearest integer?
11
What is the square root of 694704 to the nearest integer?
833
What is the fifth root of 8991636 to the nearest integer?
25
What is the square root of 446743 to the nearest integer?
668
What is 245374 to the power of 1/3, to the nearest integer?
63
What is the seventh root of 33846 to the nearest integer?
4
What is 715350 to the power of 1/2, to the nearest integer?
846
What is the tenth root of 843338 to the nearest integer?
4
What is 1203581 to the power of 1/2, to the nearest integer?
1097
What is 32112 to the power of 1/5, to the nearest integer?
8
What is the seventh root of 50187 to the nearest integer?
5
What is the square root of 1483642 to the nearest integer?
1218
What is the third root of 351731 to the nearest integer?
71
What is 5750745 to the power of 1/8, to the nearest integer?
7
What is 35480032 to the power of 1/9, to the nearest integer?
7
What is the cube root of 315509 to the nearest integer?
68
What is 130681 to the power of 1/9, to the nearest integer?
4
What is 5521488 to the power of 1/10, to the nearest integer?
5
What is the fourth root of 225347 to the nearest integer?
22
What is 99546 to the power of 1/5, to the nearest integer?
10
What is the seventh root of 295463 to the nearest integer?
6
What is the square root of 555079 to the nearest integer?
745
What is 197033 to the power of 1/9, to the nearest integer?
4
What is 1188740 to the power of 1/3, to the nearest integer?
106
What is the third root of 2338876 to the nearest integer?
133
What is 783762 to the power of 1/5, to the nearest integer?
15
What is the third root of 26502 to the nearest integer?
30
What is the cube root of 540494 to the nearest integer?
81
What is the square root of 87961 to the nearest integer?
297
What is the square root of 3704123 to the nearest integer?
1925
What is 226037 to the power of 1/2, to the nearest integer?
475
What is 3181403 to the power of 1/2, to the nearest integer?
1784
What is 3671621 to the power of 1/2, to the nearest integer?
1916
What is the square root of 118080 to the nearest integer?
344
What is 170362 to the power of 1/2, to the nearest integer?
413
What is the tenth root of 9279019 to the nearest integer?
5
What is the cube root of 3038535 to the nearest integer?
145
What is the third root of 225545 to the nearest integer?
61
What is the square root of 12362703 to the nearest integer?
3516
What is the square root of 281376 to the nearest integer?
530
What is 34143732 to the power of 1/3, to the nearest integer?
324
What is the cube root of 11039 to the nearest integer?
22
What is the fourth root of 21339 to the nearest integer?
12
What is 19457793 to the power of 1/2, to the nearest integer?
4411
What is the fifth root of 3004257 to the nearest integer?
20
What is 2958287 to the power of 1/2, to the nearest integer?
1720
What is the cube root of 2450256 to the nearest integer?
135
What is the tenth root of 4597395 to the nearest integer?
5
What is 231287 to the power of 1/3, to the nearest integer?
61
What is 31780580 to the power of 1/5, to the nearest integer?
32
What is the cube root of 2847053 to the nearest integer?
142
What is 783419 to the power of 1/2, to the nearest integer?
885
What is the cube root of 4867775 to the nearest integer?
169
What is the fourth root of 1056655 to the nearest integer?
32
What is the tenth root of 30619332 to the nearest integer?
6
What is 9905305 to the power of 1/3, to the nearest integer?
215
What is the cube root of 5716090 to the nearest integer?
179
What is 8127 to the power of 1/2, to the nearest integer?
90
What is the third root of 8541 to the nearest integer?
20
What is the seventh root of 13352755 to the nearest integer?
10
What is the eighth root of 1627676 to the nearest integer?
6
What is 368829 to the power of 1/8, to the nearest integer?
5
What is the seventh root of 1425426 to the nearest integer?
8
What is 85276 to the power of 1/6, to the nearest integer?
7
What is 273836 to the power of 1/10, to the nearest integer?
3
What is 142183 to the power of 1/5, to the nearest integer?
11
What is 5605061 to the power of 1/8, to the nearest integer?
7
What is the third root of 263652 to the nearest integer?
64
What is the tenth root of 5677763 to the nearest integer?
5
What is the fifth root of 1654123 to the nearest integer?
18
What is 21905064 to the power of 1/6, to the nearest integer?
17
What is the cube root of 1441683 to the nearest integer?
113
What is the third root of 3772596 to the nearest integer?
156
What is 2523403 to the power of 1/2, to the nearest integer?
1589
What is the square root of 3018355 to the nearest integer?
1737
What is the cube root of 777953 to the nearest integer?
92
What is 1465685 to the power of 1/3, to the nearest integer?
114
What is 5093422 to the power of 1/2, to the nearest integer?
2257
What is the third root of 2120698 to the nearest integer?
128
What is 1860250 to the power of 1/3, to the nearest integer?
123
What is the cube root of 2552017 to the nearest integer?
137
What is the sixth root of 817240 to the nearest integer?
10
What is the third root of 117395 to the nearest integer?
49
What is 532013 to the power of 1/3, to the nearest integer?
81
What is the third root of 7358142 to the nearest integer?
195
What is 782439 to the power of 1/5, to the nearest integer?
15
What is 1220639 to the power of 1/3, to the nearest integer?
107
What is 1545145 to the power of 1/3, to the nearest integer?
116
What is the third root of 970229 to the nearest integer?
99
What is the fifth root of 154779 to the nearest integer?
11
What is 53605 to the power of 1/6, to the nearest integer?
6
What is the square root of 205305 to the nearest integer?
453
What is 2341708 to the power of 1/2, to the nearest integer?
1530
What is 106003 to the power of 1/3, to the nearest integer?
47
What is 148034 to the power of 1/4, to the nearest integer?
20
What is the fifth root of 19638774 to the nearest integer?
29
What is 2517020 to the power of 1/3, to the nearest integer?
136
What is 1043017 to the power of 1/2, to the nearest integer?
1021
What is 1338511 to the power of 1/2, to the nearest integer?
1157
What is the square root of 13103364 to the nearest integer?
3620
What is the third root of 126847 to the nearest integer?
50
What is 342901 to the power of 1/5, to the nearest integer?
13
What is 204520 to the power of 1/2, to the nearest integer?
452
What is 20393551 to the power of 1/2, to the nearest integer?
4516
What is 284018 to the power of 1/3, to the nearest integer?
66
What is 337064 to the power of 1/6, to the nearest integer?
8
What is 20612538 to the power of 1/6, to the nearest integer?
17
What is 13062052 to the power of 1/10, to the nearest integer?
5
What is the square root of 1005233 to the nearest integer?
1003
What is the square root of 132371 to the nearest integer?
364
What is the sixth root of 566649 to the nearest integer?
9
What is the square root of 3717766 to the nearest integer?
1928
What is 980988 to the power of 1/2, to the nearest integer?
990
What is 158303 to the power of 1/3, to the nearest integer?
54
What is 153901 to the power of 1/7, to the nearest integer?
6
What is 6140364 to the p | {
"pile_set_name": "DM Mathematics"
} |
7, q, 0.5, 0.4 in ascending order.
0.4, 0.5, 6/7, q
Suppose 0 = -5*g - 98 - 357. Let s = g - -77. Let n be s*(-2)/(-4)*(-2)/7. Put n, -4, -6 in descending order.
n, -4, -6
Suppose 0 = 2*g + 74*h - 69*h + 7, 2*g + 6 = -4*h. Sort g, -216, 1/2, 2 in descending order.
2, 1/2, g, -216
Let o(j) = 2*j**3 + 3*j**2 + 2*j. Let k be o(-1). Let l = -1028 + 1028.5. Sort k, l, -3.3.
-3.3, k, l
Let a be 46/(-46) - (-16)/22. Put a, -1/9, -6, 4 in increasing order.
-6, a, -1/9, 4
Let o = -80 + 7. Let i = 73.5 + o. Let k = 0.1 + 0.2. Put k, 5, 2, i in descending order.
5, 2, i, k
Let h = 216 - 1509/7. Let i = -2.05 - 0.25. Let o = i - -2.4. Put o, -0.1, h in descending order.
h, o, -0.1
Let o be 0/(-2)*-1 - (-5 - -2). Suppose -o = 3*u - 9. Suppose 0 = -7*d + u*d + 15. Sort 2, d, -4 in ascending order.
-4, 2, d
Let u(r) = -737*r + 369*r + 0 + 371*r + 17. Suppose -q = 2*q + 12. Let k be u(q). Put -4, k, -3 in decreasing order.
k, -3, -4
Let s = -48 + 76. Let d be s/7 - (0 + 6). Let r be (-4)/(-14) + (548/(-56) - -9). Put 0.5, r, d in decreasing order.
0.5, r, d
Let f = 53 - 50. Let n be 30/f + -13 + 7. Suppose 0*r + 4*r + 16 = 0. Put 5, n, r, 2 in descending order.
5, n, 2, r
Let h be (-12)/15 + 261/45 + -5 + 5. Sort 0.4, h, -0.5, -5, -1/15 in ascending order.
-5, -0.5, -1/15, 0.4, h
Let t(r) = 150*r - 3600. Let b be t(24). Sort b, -5, 5 in decreasing order.
5, b, -5
Let x be 3 + (3/6)/(3/6). Let v = -34 + 41. Suppose h - 3*f + v + 20 = 0, -16 = -x*f. Put 0, h, -1 in decreasing order.
0, -1, h
Suppose 399*i - 555*i + 329*i = -39963. Sort -5, 1, -3, i.
i, -5, -3, 1
Suppose -4*p + 3*x = 19, -p + x = 4*p + 21. Let t = 8 + -16. Let d = -724 - -725. Sort t, d, p.
t, p, d
Suppose 8*c + 49 = 5*m, 6*c + 22 = -2*m + 4*c. Sort 6, 9, m, -5 in increasing order.
-5, m, 6, 9
Let q be (5/150)/(8/40). Sort 1/13, q, 0.8, -0.3 in decreasing order.
0.8, q, 1/13, -0.3
Suppose 3*v + 22 = 2*a, 4*v + 11 = 4*a - 25. Let q = -54 - -54.1. Sort a, q, 6 in ascending order.
q, a, 6
Let b be ((-4)/(-6))/(208/(-48)). Let u = -985 - -988. Put -1.2, b, -4, u in descending order.
u, b, -1.2, -4
Let j be ((-2)/(-10))/(28/210). Let v = -475.08 + 504. Let o = v - -0.08. Sort j, o, 1.
1, j, o
Let p = -0.7197 - 612.5803. Let c = p + 613. Put c, -16, 4 in descending order.
4, c, -16
Suppose 8*l = 5 - 5. Suppose l*r + d + 38 = 5*r, r - 10 = -d. Sort -5, -1, r, 2.
-5, -1, 2, r
Suppose 51*r = 989 - 938. Put r, 0.136, -5, 0 in decreasing order.
r, 0.136, 0, -5
Let y be -5*1157/1170*-3. Sort 5/3, 4, y.
5/3, 4, y
Let f(b) = 20*b**2 - 7*b - 5. Let h be f(-1). Suppose 33*s = -4*i + 38*s - h, 4*s = 3*i + 16. Sort 3, -1, i in ascending order.
i, -1, 3
Let w(k) = k**3 - 5*k**2 + 4*k. Let h be w(4). Let o be (5/(-3))/(4 - 26/6). Suppose -5*d + g - 30 + 6 = 0, o*g = 20. Put h, d, 2 in descending order.
2, h, d
Suppose 1277*w = 1253*w + 48. Suppose 4*g = -3*k, 2*g + 2 = -2*k - 0. Sort w, -0.5, 14, g in increasing order.
-0.5, w, g, 14
Let f = -2 - -1. Let s = -72 + 155. Let w = s + -83.3. Sort f, w, -4/5.
f, -4/5, w
Let a(q) = q - 25. Let u be a(50). Put 2, 4, -1, 3, u in descending order.
u, 4, 3, 2, -1
Suppose -2*b + 0*b + 2*r = -4, 3*r + 12 = 0. Suppose 0 = c + 5*y - 120, -4*y - 4 = 8. Let j be c/(-117) + (-6)/(-195)*5. Sort b, j, -5 in decreasing order.
j, b, -5
Let j be 11/(-33) - 2/3. Let b = 5 - 18. Let g = b - -16. Put -63, g, j in increasing order.
-63, j, g
Suppose -u = u - 4. Let p be (u/14)/((-336)/392). Sort -0.02, p, -1/10 in decreasing order.
-0.02, -1/10, p
Let m(i) = -19*i**2 - 6. Let f be m(3). Let a be f/(-15) + ((-12)/15 - -1). Let x be (0 - a/(-3)) + -4. Sort -3, -1, x in descending order.
x, -1, -3
Let w = 0.0381 + 3.9619. Sort w, 0.703, -0.4 in ascending order.
-0.4, 0.703, w
Let g = 15 + -19. Let y = -2390 - -2393. Sort g, 14.1, y in ascending order.
g, y, 14.1
Let w = 43623/104 + -5448/13. Let v(r) = -r**3 - 5*r**2 + r + 4. Let d be v(-5). Sort -82, d, w in descending order.
w, d, -82
Let z be (-20 + 19)*(-4 + 5)*-1. Sort 5, -44, 4, z.
-44, z, 4, 5
Let x = -19 - -23. Suppose -x*u + 19 + 17 = 0. Suppose 2 = u*a + 38. Sort 4, 1, a in decreasing order.
4, 1, a
Let f = -0.4272 + 0.0272. Let r be -4 - (2 + -2) - 10/(-5). Sort f, -1/4, r, 0.2 in ascending order.
r, f, -1/4, 0.2
Suppose 0 = 60*d - 52*d + 120. Let h be (2/d*-3)/((-8)/(-680)). Sort h, -1/4, -2/19 in decreasing order.
h, -2/19, -1/4
Suppose 4*k - 3*k = 3*d - 25, -4*d = -5*k - 37. Let q be (-4)/d - (41/2)/(-1). Suppose 0 = 17*j - q*j + 3. Put 5, j, -2 in descending order.
5, j, -2
Let i = 256 - 257. Let x = -9 + 9. Suppose 2*p = 3*c + 1, -3*p + 8 = -x*c + 2*c. Sort c, 3, i, 2.
i, c, 2, 3
Let t = -0.24 - 11.76. Let d = -382.9864 + -0.0136. Let k = -386 - d. Put 2, -1, t, k in decreasing order.
2, -1, k, t
Suppose 0 = -4*c + 3*f - 134 + 157, -5 = 5*f. Put -1, 2, 1, -253, c in increasing order.
-253, -1, 1, 2, c
Let z be 322/(-98) - 14/(-49). Let g be (2 - 2) + 6/9. Sort 6, z, 3, g in decreasing order.
6, 3, g, z
Let i(s) = 238*s + 4764. Let k be i(-20). Let v(q) = q - 2. Let h be v(0). Put h, 14, k in increasing order.
h, k, 14
Let v = -5660.2 + 5660. Put 1/10, -0.4, v, -0.9, 2/11 in descending order.
2/11, 1/10, v, -0.4, -0.9
Suppose -5*m + 416 = 251. Suppose m*l = 30*l + 15. Put 4, 3, l, 1 in decreasing order.
l, 4, 3, 1
Suppose 21*f = -132978 - 17729 + 23531. Sort 2, f, -4.
f, -4, 2
Let i(w) = -10 + 3*w + w**3 - 6*w - 6*w + 7*w**2. Let b be i(-8). Suppose -5*x + 0*m - 25 = -5*m, 4*x - 34 = -5*m. Sort x, b, 4 in descending order.
4, x, b
Suppose 8431 = -14*z + 8361. Put z, 4, 5, -16 in decreasing order.
5, 4, z, -16
Let b = 6 + -3. Suppose 0*k = 2*k - 10. Let m be (-5)/(-2)*26/(-65). Sort k, m, b, -2 in increasing order.
-2, m, b, k
Suppose -119 = -5*t + j + 319, 0 = 4*j + 32. Sort -4, -1, -2, -8, t.
-8, -4, -2, -1, t
Let j = 743.42 - 747.42. Let o = -0.8 - -0.3. Sort 5/3, o, 1, j in ascending order.
j, o, 1, 5/3
Let t = -11260 + 11262. Put 4, t, -142 in ascending order.
-142, t, 4
Suppose -15*c = -16*c - 20*c. Let q(y) = -y**2 - 7*y - 6. Let b be q(-5). Sort c, b, 6 in descending order.
6, b, c
Suppose 2*x - 9*m = -8*m + 1, -m - 2 = -3*x. Sort x, 980, -2, -4 in decreasing order.
980, x, -2, -4
Let s = -3.97538 + -0.02462. Put 0.4, 9, 0.5, 0.1, s in descending order.
9, 0.5, 0.4, 0.1, s
Suppose -683*p + 586*p = 2813. Let y be ((-8)/6)/(2/(4 - -2)). Sort y, -5, p in ascending order.
p, -5, y
Let x = 8.9 - 9.3. Let t(b) = -6*b**2 + 70*b + 25. Let r be t(12). Put x, 12, -2, r in descending order.
12, r, x, -2
Let l = 10124 - 10128. Suppose -3*x + 6*x - 3 = 2*m, 0 = 3*m - 2*x - 8. Sort -5, l, m, -2 in decreasing order.
m, -2, l, -5
Let b = 103 - 107.988. Let r = -2351.988 - -2352. Let c = r - b. Put 4, 2/7, 1, c in ascending order.
2/7, 1, 4, c
Let k = -363/32 - -367/32. Let r = 1.2 - 0.2. Let n = r + -1. Put k, n, -0.1 in ascending order.
-0.1, n, k
Suppose -3*w + 20 = -2*p + p, -p = -4. Let i = 7 - w. Let c = -0.1457 + 0.2457. Sort c, i, 3, 19 in ascending order.
i, c, 3, 19
Let h = 0.07 + -0.37. Let x = -144155/12 + 72079/6. Put -0.2, -0.5, x, h in descending order.
x, -0.2, h, -0.5
Suppose -2*a = -3*u - 9, 5*u + 11 = -4. Let y be (5/(-10) - 1)*(-20)/6. Suppose 3*s = -4*r - a*s - y, 14 = -r - 5*s. Sort -8, -4, 5, r in decreasing order.
5, r, -4, -8
Suppose b + 4*g + 13 = 3, -3*b - 5*g = 9. Suppose -2 = b*u - 16. Suppose 0 = i - 5 + u. Sort -9, -1, i.
-9, i, -1
Let d = 59.9 - 65.8. Sort -0.3, -2, 1/2, d in ascending order.
d, -2, -0.3, 1/2
Let s = 9 + -5. Let h = 0.8333 - 0.8933. Sort h, s, 1, -0.01.
h, -0.01, 1, s
Let b = 0.64 + -31.64. Let v = 28 + b. Sort -0.78, -0.1, v.
v, -0.78, -0.1
Let h = 25205.02 + -25205. Put h, -3/55, 0.4 in decreasing order.
0.4, h, -3/55
Suppose 7*n = 10*n. Let m be (-2)/(-6)*n + 0. Suppose 17*u - 18*u = -2*t - 6, -5*u + t = -12. Sort 25, u, m in descending order.
25, u, m
Let v be (-1)/((-4)/(-36)*3). Let z = 44.84 - 44. Let k = z + -0.44. Sort v, k, 4 in decreasing order.
4, k, v
Let s = 54 + -52. Suppose -5*k - 16 = n, -n + s*k = 1 - 6. Let u be ((-1)/(-2))/((-9)/(-30)). Sort u, n, -3.
-3, n, u
Let t(u) = -u**3 + 6*u**2 - 7*u + 7. Let r be t(5). Let v = -52 - -121. Suppose -65*k = -v*k - 28. Sort -4, k, r in decreasing order.
r, -4, k
Let w be (-2)/(-1) - (-119 + 1 - -1). Let t = w + -116. Let g = -9 | {
"pile_set_name": "DM Mathematics"
} |
j = h + 42, 8*h = 4*j + f*h - 163. What is the units digit of j?
7
Let n = -61 + 65. Suppose 10 = 4*k - 2*k, -k - 279 = -n*g. What is the tens digit of g?
7
Suppose 5*s = 4*h + 1589 - 483, -h - 440 = -2*s. Let g = s + -143. What is the tens digit of g?
7
Let a be (-20 + 118)/((-1)/1). Let h = a - -173. What is the tens digit of h?
7
Suppose -4*m + 2*i - 12 = 0, 5*i - 12 = 2*i. Let u be 3 - (m - 4/2). Suppose 0 = 2*s + 5*p - u, 2*s - s = 4*p + 16. What is the units digit of s?
8
Let j = -1217 - -1931. What is the tens digit of j?
1
Let k(h) = -4*h - 1. Let m be k(0). Let y(f) = -219*f + 3. What is the hundreds digit of y(m)?
2
Suppose 5*v = 6*v + 15. Let d(q) = -q + 29. What is the units digit of d(v)?
4
Suppose -3*l = -2*w + 338, 195 - 26 = w + 4*l. Let t = 78 - w. What is the tens digit of (-4)/(-6) + t/(-3)?
3
Suppose -5*p + 2*v + 4110 = 0, -3*p + 5*v + 2216 + 231 = 0. What is the hundreds digit of p?
8
Let k = -821 + 1914. What is the thousands digit of k?
1
Let z = 9 + 5. Let f be (-4)/z - (-10)/35. Suppose 3*r - 8*r + 50 = f. What is the units digit of r?
0
Let l = -5815 - -8976. What is the units digit of l?
1
Suppose -5*k = -4 + 19. Let z(j) = -j**2 - 5*j - 6. Let l be z(k). Suppose 3*t - t - 58 = l. What is the tens digit of t?
2
Let f(m) = -2*m - 2. Let r be f(-2). Let w(b) = 4*b**2 + 19 - b**2 - 25 + b**r. What is the tens digit of w(3)?
3
Let q = 558 - 320. What is the units digit of q?
8
Suppose 4 = x - m, 2*x + 0*x = -2*m. What is the hundreds digit of (0 - (-15)/x)*(-40)/(-3)?
1
Suppose -12 = -j + 3*t, -5*j - 20*t + 27 = -24*t. Suppose 104 - 40 = p. What is the tens digit of (-36)/27 + p/j?
2
Suppose 3*z - z = 4*d + 156, 3*d = -z + 93. What is the tens digit of (-4 - -5) + 1 + z?
8
Let c(f) = -589*f**3 - 5*f - 4. What is the tens digit of c(-1)?
9
Suppose 4*n - 40 - 104 = 0. Let z be 8/12*n/8. Suppose -4*u + z*c + 117 = -2*u, 62 = u + 2*c. What is the tens digit of u?
6
Let r(w) be the second derivative of 1/6*w**4 + 4*w**2 + 11/6*w**3 + 0 + 8*w. What is the units digit of r(-9)?
1
Suppose 18*s = -18*s + 26748. What is the tens digit of s?
4
What is the tens digit of (-1299)/(-15) - 5*4/(-50)?
8
Suppose 17*p = 14*p + 2229. What is the units digit of p?
3
Let l(y) = -y**3 + 26*y**2 - y - 21. What is the thousands digit of l(18)?
2
Suppose -63751 = -41*x - 17298. What is the thousands digit of x?
1
Let m = 27 - 2. Suppose m = 3*t - 32. What is the tens digit of t?
1
Let q(c) = 2*c - 17. Let f be q(10). Suppose 4*a = f*a + 62. What is the tens digit of a?
6
Suppose 7*t - 199 = 123. What is the tens digit of (-66)/11*t/(-4)?
6
Suppose -j - 2*j = c - 58, 3*j + 3*c = 48. What is the tens digit of j?
2
Suppose 0 = 3*u + 4*t - 7*t - 405, t + 663 = 5*u. Let f = 258 - u. Suppose 4*l + f = 5*z, 2*z - l - 56 = 2*l. What is the units digit of z?
2
Suppose 4*r + 0*t = 3*t + 144, 0 = 2*r + 5*t - 98. Let v be -1*4/(-10) + (-70)/50. Let z = v + r. What is the units digit of z?
8
What is the tens digit of -5*(5 + -4)*-21?
0
Suppose -4*m + 577 = 3*j - 0*j, -3*m - 5*j + 419 = 0. What is the hundreds digit of m?
1
Let w(y) = 7*y**2 - 2*y - 1529. Let q(p) = 4*p**2 - p - 765. Let b(c) = -11*q(c) + 6*w(c). Let x be b(0). What is the units digit of 4/(-3)*x/22?
6
Suppose 6*c = -5*c + 33. What is the units digit of (-2 + c/2)/(1/(-66))?
3
Let a = 164 + -142. What is the tens digit of a?
2
Let x = -439 + 810. What is the units digit of x?
1
Suppose 5*p + 883 - 2297 = -w, 3*w - 294 = -p. Let i = p + -149. What is the tens digit of i?
3
Suppose -11*q = -9*q + 5*n - 505, -5*q + 1247 = -3*n. What is the tens digit of q?
5
Let i = 719 - 398. What is the hundreds digit of i?
3
Let b be (-4)/8*226*-5. Suppose 3*t = -2*t + b. Suppose 5*s - 5*f = 85, 5*s - 2*f + 25 = t. What is the tens digit of s?
1
Suppose -q = -5*m + 15, -2*q + 4*m + 9 = 7*m. Suppose q = -2*c - c. Suppose c*g - 4*g = -28. What is the units digit of g?
7
Let v(q) = -q - 2. Let i be v(-3). Suppose l - 6 = -i. Suppose 0 = -5*x - l*u + 40, 2*u = 5*x - 0*u - 75. What is the units digit of x?
3
Let l = -340 + 638. What is the units digit of l?
8
Let c = -2393 + 3372. What is the hundreds digit of c?
9
Let q(w) = -77*w + 159. What is the hundreds digit of q(-6)?
6
Let c be 16/88 - (-1842)/33. Suppose -22 + c = f. What is the tens digit of f?
3
What is the tens digit of (-9)/((-36)/3176) + 3 + -7?
9
What is the units digit of 2/(-6) + (-17948)/(-42)?
7
Suppose c + 7*a - 1981 = 3*a, 2026 = c - 5*a. What is the tens digit of c?
0
Let k(q) = -q**3 - 9*q**2 + 11*q + 10. Let h be k(-10). Suppose 5*t - 82 - 173 = h. Let j = -30 + t. What is the units digit of j?
1
Suppose -3 - 13 = -4*q. Suppose -858 = -5*v - q*u, 0*v - 3*v + 506 = -2*u. What is the tens digit of v?
7
Let k = 25 - 21. Suppose k*s = -31 - 5. Let f(j) = -j**2 - 14*j - 6. What is the units digit of f(s)?
9
Suppose -10 = -6*v + v. What is the units digit of 57 + (-2)/1 + v?
7
Let n be (-16)/(-6) - 8/(-24). Let t = 128 - n. Suppose g = 4*g + 3*f - 84, 0 = -5*g - 2*f + t. What is the units digit of g?
3
Suppose -3*b - 128 - 32 = -4*m, 5*m - 4*b = 200. What is the units digit of m?
0
Suppose 10*z - 91497 = -11*z. What is the tens digit of z?
5
Let j be (-16)/6*9/(-6). Suppose -j*s = -s - 138. Suppose -2*y + 5*y + p - s = 0, -5*y = -4*p - 88. What is the tens digit of y?
1
Let k be (54/21)/((-6)/(-56)). Let l = k - 23. What is the units digit of (11 - l)/5 - -66?
8
Let h = 549 + 7. What is the hundreds digit of h?
5
Suppose 8*x - 10*x = 2*n - 64, 5*n + 29 = 2*x. What is the tens digit of x?
2
Suppose 0 = p + 5, -4*l = 23*p - 27*p - 5724. What is the thousands digit of l?
1
Let m(l) = -l**2 - 2*l + 4. Let w be m(0). Suppose 4*c - w*z = z - 33, 0 = -3*c + z - 11. What is the tens digit of 4/(-8)*c + 11?
1
Suppose 0 = -643*j + 630*j + 30875. What is the tens digit of j?
7
Let l(k) = -23*k - 24. Let i be l(5). Let s = 196 + i. What is the units digit of s?
7
Let t(s) = 29*s + 23. Let m be t(13). What is the units digit of (-4)/(-3) + -1 + m/6?
7
Let d be (-4)/6*99/(-22). Suppose d*b = c + 32 + 75, 3*c + 173 = 5*b. What is the units digit of (-3)/9*(-2 - b)?
3
Suppose 0*o - f + 15 = -o, 8 = 2*f. Let z(a) = -a**2 - 11*a + 51. Let c be z(-16). Let w = o - c. What is the units digit of w?
8
What is the hundreds digit of 4606/(-21)*90/(-35)?
5
Let q = -2053 - -5506. What is the tens digit of q?
5
Suppose -v = v - 4. Suppose 0 = -4*w - 3*t, v*w = 4*w - 4*t - 22. Suppose -4*n - 5*j + 20 = 0, 2*j + 4 = w*n - 11. What is the units digit of n?
5
Suppose -j = -6 + 1. Suppose 2*c + 2*z - 12 = 0, -j*c - z - 3*z = -30. Suppose 2*n = -s + 16 + 13, s - 5*n = -c. What is the tens digit of s?
1
Let a be ((-6)/(-4))/((-1)/6). Let k(i) = i + 11. Let v be k(a). What is the tens digit of 10/(v/4 + 0)?
2
Let n(h) = 257*h**2 + 2*h + 1. Let a be n(-1). Suppose -12*k = -8*k - a. What is the tens digit of k?
6
Let s(k) = k + 2. Let g be s(5). Let q = g - 3. Suppose -7 = -q*x + 97. What is the units digit of x?
6
Suppose 3*r + 9904 = 2*t, r = 9*t - 7*t - 9904. What is the thousands digit of t?
4
Let w(f) = f + 12. Let b be w(-11). Let p be 2/b - (-16)/(-4). What is the units digit of (0 + 3)/(p/(-6))?
9
Suppose 4*s - 59 = -7. Let t = 13 + 0. Let k = t + s. What is the units digit of k?
6
Suppose -23 = -j - 0. Let v = 49 + -50. What is the units digit of (j - v - 0) + 1?
5
Let v(h) = h**3 - 5*h**2 - h - 6. Suppose 0 = r + 4*r - 30. Let f be 18/10*20/r. What is the tens digit of v(f)?
2
Let z(s) = 66*s**3 + 4*s**2 + 7*s - 9. Let a(j) = 33*j**3 + 2*j**2 + 4*j - 5. Let f(w) = 7*a(w) - 4*z(w). What is the units digit of f(-1)?
2
Let v = 22 + 148. What is the units digit of v?
0
Let j(s) = -23*s**3 - 1. Let i be j(-1). Suppose 0 = 5*g + 188 + i. What is the tens digit of 1 + -2 - (1 + g)?
4
Let f(y) = y**3 + 3*y**2 + 5*y - 1. Let w be f(-2). What is the hundreds digit of (-672)/w + (1 - -3)?
1
Let q = 24 - 15. Let z = 59 - q. What is the tens digit of z?
5
Let l = -669 + 1634. What is the units digit of l?
5
Let q(g) = -g**3 + 9*g**2 - 8*g + 7. Let n be q(8). Let w = n + -7. What is the units digit of (w + -9)/((-15)/50)?
0
Let c = -5639 - -8731. What is the hundreds digit of c?
0
Let w(p) = -p**2 - 10 + 21*p - 4 + 2 - 10*p. Let n be w(8). What is the units digit of (-15)/(-6)*n/10 | {
"pile_set_name": "DM Mathematics"
} |
-11605, -17329, -23053, -28777?
-34501
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-87536
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978454
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20208158
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1845382830
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-3446626
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12426
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65053493
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131974886
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2116062
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2427597
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478544521
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153805
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-25751
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What is next in -13915, -27698, -41355, -54892, -68315, -81630, -94843, -107960?
-120987
What is next in 145205, 145121, 144983, 144791?
144545
What is next in -1476, -3192, -4880, -6540, -8172?
-9776
What is the next term in -2310933, -2310941, -2310961, -2310999, -2311061?
-2311153
What is the next term in -13179, -27053, -40921, -54783, -68639, -82489?
-96333
What is next in 4509, 9052, 13627, 18234?
22873
What is the next term in -31466, -62730, -93990, -125252, -156522, -187806, -219110?
-250440
What comes next: -5914, -23694, -53410, -95128, -148914?
-214834
What comes next: 13615, 14199, 14783, 15367?
15951
What is the next term in 39236516, 156946077, 353128672, 627784295, 980912940, 1412514601, 1922589272, 2511136947?
3178157620
What is the next term in 4099, 17064, 38871, 69520, 109011, 157344, 214519?
280536
What is next in 13129, 54747, 124103, 221191, 346005, 498539, 678787, 886743?
1122401
What is next in -727868, -1455532, -2183196?
-2910860
What is the next term in 4381, 55582, 194561, 465208, 911413?
1577066
What comes next: -3663, -393, 5055, 12681?
22485
What is next in 780917, 3123684, 7028295, 12494738, 19523001, 28113072?
38264939
What is the next term in -242563, -243539, -244515, -245491, -246467?
-247443
What is the next term in 9715856, 19431712, 29147568, 38863424?
48579280
What comes next: 116, 357, 246, -637, -2712?
-6399
What comes next: 17166029, 17166030, 17166031, 17166032, 17166033?
17166034
What is the next term in -1125382, -1125391, -1125402, -1125415, -1125430?
-1125447
What comes next: -206853, -414425, -621995, -829563, -1037129, -1244693?
-1452255
What comes next: 36796, 36877, 36958, 37039, 37120, 37201?
37282
What is next in 199, -69, -487, -1055, -1773, -2641?
-3659
What is the next term in 1823367, 1823357, 1823347, 1823337, 1823327, 1823317?
1823307
What comes next: -123131, -246174, -369217, -492260, -615303, -738346?
-861389
What is the next term in -18792407, -37584815, -56377223, -75169631?
-93962039
What is the next term in -8510, -17346, -26426, -35750, -45318?
-55130
What comes next: -2400811, -2400813, -2400817, -2400823, -2400831, -2400841?
-2400853
What is the next term in -10944, -22033, -33354, -44919, -56740, -68829?
-81198
What comes next: 2983, 6008, 8981, 11872, 14651, 17288, 19753?
22016
What is the next term in 126894, 126926, 126984, 127074, 127202, 127374?
127596
What is next in -26664581, -26664580, -26664579, -26664578, -26664577, -26664576?
-26664575
What is the next term in -159823, -319675, -479481, -639217, -798859?
-958383
What is next in 976056, 976034, 976014, 975996?
975980
What is the next term in -2448487, -2448484, -2448481, -2448478, -2448475?
-2448472
What is the next term in -6171, -7523, -8877, -10233?
-11591
What comes next: -767910, -1535860, -2303812, -3071766, -3839722, -4607680, -5375640?
-6143602
What is next in 2275965, 2276116, 2276267?
2276418
What is the next term in 4422, 17651, 39682, 70515, 110150, 158587, 215826?
281867
What comes next: 14810869, 14810850, 14810805, 14810722, 14810589, 14810394, 14810125, 14809770?
14809317
What is next in 204818, 818236, 1840600, 3271910?
5112166
What is the next term in 22844, 91463, 205824, 365927, 571772, 823359?
1120688
What comes next: 693216, 693437, 693658, 693879, 694100, 694321?
694542
What comes next: -481, -1765, -5167, -11719, -22453, -38401?
-60595
What comes next: -1569, -7441, -17221, -30897, -48457, -69889?
-95181
| {
"pile_set_name": "DM Mathematics"
} |
. Calculate q*k(t) + 6*a(t).
2*t - 1
Let h be 4/(143/65 + 2/(-10)). Let d(i) = 8*i - 6*i - i + 2*i**h - 5*i. Let c(u) = -4*u**2 + 9*u + 1. Determine 2*c(g) + 5*d(g).
2*g**2 - 2*g + 2
Let w(c) = 3*c**3 - c**2 + 4*c. Let u(o) = 4*o**3 - o**2 + 4*o. Determine -4*u(a) + 5*w(a).
-a**3 - a**2 + 4*a
Let g(d) = -15*d - 1. Let k(j) = j**3 + 7*j**2 + 9*j - 4. Let i be k(-4). Let z(w) = 23*w + 2. Calculate i*g(q) + 5*z(q).
-5*q + 2
Let s be (10 + -12 - (-2 - -4))/(-2) + 4. Let l(c) = 9*c - 5. Suppose 5 = -3*w + 2*w. Let d(n) = 10*n - 6. Give s*l(x) + w*d(x).
4*x
Let v(o) = o**2 - 6. Let u(f) = -f**2 + 13*f + 6. Suppose -3*n + 40 = 4*x, n = 4*x - 5*x + 9. Let t be u(x). Let z(p) = -5*p**2 + 35. Give t*z(j) + 35*v(j).
5*j**2
Let k(n) = 7*n**2 + 7. Let u(r) = -14*r**2 - 15. Suppose -38*b - 145 = -639. Determine b*k(f) + 6*u(f).
7*f**2 + 1
Let y(o) = -o**3 - o**2 - o + 1. Let h(f) = 3*f**3 + 2*f**2 + 51*f. Determine h(x) + 2*y(x).
x**3 + 49*x + 2
Let d(o) be the third derivative of -o**3 + 0 + 1/20*o**5 + 0*o**4 + 0*o + o**2. Let i(z) = -1 - z**2 - z**2 + 3*z**2. Calculate d(k) - 4*i(k).
-k**2 - 2
Let i(k) be the first derivative of -k - 9. Let v(g) = -g**2 + 4*g + 1. Let t = 80 + -79. Give t*i(z) - v(z).
z**2 - 4*z - 2
Let v(a) = 8*a + 39. Suppose 4*k = -l + 16, -12*l - 4 = -k - 8*l. Let d(g) = -3*g - 13. Calculate k*v(q) + 11*d(q).
-q + 13
Let i = -6 - 0. Suppose 5 = -2*d + j + 8, 3*j + 13 = 2*d. Let o(b) = -1. Let n(f) = f + 6. Give d*n(w) + i*o(w).
-w
Let w(o) = -9*o + 6. Let q(z) = -z + 1. Let x(t) be the first derivative of -t**2/2 + 13*t - 7. Let p be x(7). What is p*q(y) - w(y)?
3*y
Suppose 8 - 2 = -2*r. Let m(v) = 2*v**3 - 3*v**2 - v + 3. Let i(f) be the third derivative of -f**6/120 + f**5/60 - f**3/6 + 31*f**2. What is r*i(w) - m(w)?
w**3 + w
Let h(l) = -l + 17. Let n(y) = 0 + 7 - 6 + 5. What is 3*h(d) - 8*n(d)?
-3*d + 3
Let x(k) = 89*k**3 - 3*k. Let d(q) = -90*q**3 + 4*q. Determine 3*d(o) + 4*x(o).
86*o**3
Let f(p) = -7*p + 7. Let i(b) = -1. Give 2*f(a) + 6*i(a).
-14*a + 8
Let p(j) be the third derivative of 0*j - 1/12*j**4 + 10*j**2 - 5/6*j**3 + 0. Let y(q) = -6*q - 14. Let k = 2 - 6. What is k*y(z) + 11*p(z)?
2*z + 1
Let w(u) = u**2 + 3*u - 1. Let m(z) = 8*z**2 + 49*z - 8. Determine -m(h) + 6*w(h).
-2*h**2 - 31*h + 2
Let w(x) = 3*x + 3*x**2 - 16*x + 3 + 4*x + 4*x. Let t(z) = 4*z**2 - 6*z + 3. Give -5*t(u) + 6*w(u).
-2*u**2 + 3
Let z(v) = -25530*v**3 - 1265*v**2 - 1265*v - 1265. Let q(b) = 121*b**3 + 6*b**2 + 6*b + 6. Determine -1265*q(j) - 6*z(j).
115*j**3
Let k(d) = -2*d**2 + 150*d + 5. Let y(c) = -3*c**2 + 225*c + 7. Calculate 7*k(q) - 5*y(q).
q**2 - 75*q
Let h(c) = 5*c + 8. Let i(t) = -23 + t - 9 + 33. Determine -h(p) + 4*i(p).
-p - 4
Let a(g) = 202*g**3 - 7*g**2 + 5*g + 28. Let k(t) = -303*t**3 + 11*t**2 - 8*t - 44. Calculate 8*a(n) + 5*k(n).
101*n**3 - n**2 + 4
Let v(n) = -4*n**3 - 7*n**2 + 6*n - 6. Let m(a) = a**3 + a**2 - a + 1. Let s = 1502 + -1508. Give s*m(j) - v(j).
-2*j**3 + j**2
Let u(m) = 4*m - 7. Let p(v) = 18 + 2*v - 3*v - 17. Let w be (45/20)/((-30)/80). Give w*p(k) - u(k).
2*k + 1
Let t(k) = 1851*k + 14. Let u(x) = -463*x - 3. Give 4*t(v) + 18*u(v).
-930*v + 2
Let l(u) = -356*u**2 - 12*u + 12. Let h(z) = 1069*z**2 + 34*z - 34. What is 6*h(p) + 17*l(p)?
362*p**2
Suppose 3*h + 1 = -8. Let y be -2 - ((-3)/6*0 + h). Let s(v) = 2*v**2 + 7*v - 5. Let i(z) = z**2 + z - 1. What is y*s(c) - 5*i(c)?
-3*c**2 + 2*c
Let f(z) be the third derivative of -z**6/30 + z**4/12 - z**2. Let t be ((80/2)/(-10))/(-2). Let v(m) = 5*m**3 - 3*m. Determine t*v(o) + 3*f(o).
-2*o**3
Let t(a) = 48*a - 1. Let b(n) = 141*n - 3. Give -6*b(p) + 17*t(p).
-30*p + 1
Let o(u) = 2*u**3 + 11*u**2 + 6*u - 8. Let w(x) = -3*x**3 - 23*x**2 - 13*x + 17. Let n(p) = -13*o(p) - 6*w(p). Let q(t) = t**3 + t**2. Calculate -n(f) - 4*q(f).
4*f**3 + f**2 - 2
Let w(a) = 220*a - 3. Let c(x) = 20240*x - 275. Calculate 3*c(t) - 275*w(t).
220*t
Let o(n) = -n**3 - 3*n**2 - 3*n - 3. Let d(i) = i**3 + 3*i**2 + 4*i + 4. Let k = -407 - -410. Give k*d(l) + 4*o(l).
-l**3 - 3*l**2
Let y(h) = 15 + 3*h**3 + 0 - 4 - 7 + 0*h**2 - 2*h**2. Let o(w) = 1. What is -4*o(b) + y(b)?
3*b**3 - 2*b**2
Let s(i) = 8*i + 4. Let u(f) = -f - 1. Let m be 13*(-2 + (5 - 6/3)). Suppose -5*r + 29 = 4, 0 = -3*b - r - m. What is b*u(t) - s(t)?
-2*t + 2
Let h(z) = z**3 + z + 1. Let x(s) = -12*s**3 - 8*s + 4. What is 8*h(f) + x(f)?
-4*f**3 + 12
Let w(y) = 85*y - 2. Let t(j) = -1. What is 4*t(m) - w(m)?
-85*m - 2
Let t(d) = 3*d**3 + 6*d - 5. Let m = -314 - -313. Let n(x) = -x**3 - x + 1. Calculate m*t(r) - 6*n(r).
3*r**3 - 1
Let m(s) = 95*s + 4. Let i(l) = -190*l - 9. Calculate 2*i(j) + 5*m(j).
95*j + 2
Let d(g) = -g**3 - 5*g**2 + 3*g - 20. Let a be d(-6). Let x(y) = y**3 - y**2. Let n(p) = 4*p**3 - 5*p**2. Give a*n(u) + 10*x(u).
2*u**3
Let q(x) = x**3 + x**2 - 1. Let b(j) = -5*j**3 - 4*j**2 + j + 1. What is b(h) + 2*q(h)?
-3*h**3 - 2*h**2 + h - 1
Let p be -30*(4 + -14 - -4). Let j(x) = x**2 + p*x - 8*x**2 - 179*x - 4*x**3. Let a(o) = -2*o**2 - 3*o**3 - o**2 + o**3. Give -7*a(u) + 3*j(u).
2*u**3 + 3*u
Let m(t) = -3*t + 6. Let r(o) = -3*o + 5. Let q = -16 + 16. Suppose q*u = -11*u + 66. Determine u*r(f) - 5*m(f).
-3*f
Let s(a) = -17*a**2 - a. Let b(g) = -16*g**2 - g. Give -4*b(q) + 5*s(q).
-21*q**2 - q
Let c(s) = -31*s - 977. Let t(g) = 23*g + 976. What is -3*c(n) - 4*t(n)?
n - 973
Let t(i) = -i**2 + 5*i - 1. Let h(p) = -p**2 + 6*p - 1. Suppose 2*y = -0*y. Suppose 6 = 2*l - g, 0 = -y*l - 3*l - 4*g + 20. Determine l*h(s) - 5*t(s).
s**2 - s + 1
Let b(x) = -623*x - 622*x + 1249*x. Let j(d) = 2*d**2 + 3*d - 2. Let u be j(-3). Let v(p) = -9*p. Determine u*b(y) + 3*v(y).
y
Let l(j) = -1. Let x(q) = q - 5*q + 2*q + 4 + 4. Let s(r) = 3*l(r) + x(r). Let n(m) = m**3 - 1. Calculate -3*n(f) - s(f).
-3*f**3 + 2*f - 2
Let k(b) = 6*b**2 + 76*b + 109. Let j be k(-11). Let v(g) = -1 - 4 + 2*g - 6*g + g**3. Let x(i) = i + 1. Give j*v(n) - 5*x(n).
-n**3 - n
Let o(i) = -6*i**3 + 3*i**2 - 9*i - 2. Let w(n) = n**3 - n**2 - n. Determine -o(h) - 5*w(h).
h**3 + 2*h**2 + 14*h + 2
Let h(y) = 4*y**3 - 4*y**2 + 3*y + 3. Let o(n) = -3*n**3 + 3*n**2 - 2*n - 2. Determine -4*h(c) - 5*o(c).
-c**3 + c**2 - 2*c - 2
Let w(s) = 7*s**3 + 16*s + 2. Let n(m) = -10*m**3 - 24*m - 3. What is 5*n(p) + 8*w(p)?
6*p**3 + 8*p + 1
Let p(y) = 4*y + 1. Let v(r) = -20*r - 6. Suppose -7*q - 236 = -124. Calculate q*p(f) - 3*v(f).
-4*f + 2
Let n(f) = 5*f**2 + 2*f - 2. Let q(o) = 44*o**2 + 16*o - 6. Let v(h) = 175*h**2 + 63*h - 21. Let a(d) = 21*q(d) - 5*v(d). Determine 2*a(g) - 21*n(g).
-7*g**2
Let h(v) = 2*v - 49. Let o(r) = 6*r - 146. Calculate 11*h(y) - 4*o(y).
-2*y + 45
Let i(z) = z**2 - 4. Let b = 85 + -61. Let g = b - 15. Let v(q) = q**2 - 2*q + 2*q**2 + q - g. Calculate 5*i(u) - 2*v(u).
-u**2 + 2*u - 2
Let z(u) = -1 - 5*u**3 - 2*u**3 - u**2 + 5*u - 2. Suppose 0 = 117*h - 122*h - 25. Let k(n) = 6*n**3 + n**2 - 4*n + 3. What is h*k(r) - 4*z(r)?
-2*r**3 - r**2 - 3
Let n(b) = -b - 7. Let r(m) = 8*m - 24. Determine -5*n(i) + r(i).
13*i + 11
Let q(t) = t**2 - t. Let n(a) = 2*a**3 + 9*a**2 + 2*a. Calculate -n(f) + 4*q(f).
-2*f**3 - 5*f**2 - 6*f
Let q(m) = -5*m**3 - 4*m**3 + m + 10*m**3 + 3. Let r be q(0). Let l(j) = -j + j - 2*j - 3 + r*j. Let y(z) = 6*z - 16. Calculate -22*l(f) + 4*y(f).
2*f + 2
Let b(a) = -2*a + 4. Let w(d) = 1369*d - 444. Calculate -111*b(u) - w(u).
-1147*u
Let j(l) = -2*l - 179. Let p(t) = t + 90. Give -3*j(w) - 5*p(w).
w + 87
Let y(x) = 5*x**3 - 4*x + 1. Let p(f) = 44 - 25 - 4*f**3 + 3*f + 0*f - 20. Determine -6*p(j) - 5*y(j).
-j**3 + 2*j + 1
Let y(f) = -7*f**2 + f - 9. Let o(b) = -b**3 + 12*b**2 + 29*b - 11. Let r be o(14). Let q(j) = 4*j**2 - j + 5. What is r*y(n) + 5*q(n)?
-n**2 - 2*n - 2
Let d(l) = 2*l**3 - 10*l**2 - 12*l. Let b(r) = 2*r**3 - 7*r**2 - 11*r + 1. Give 3*b(g) - 2*d(g).
2*g**3 - g**2 - 9*g + 3
Let l(q) = 4*q**2 - 14*q + 2. Let i(f) = 5*f**2 - 16*f + 1. Calculate 5*i(a) - 6*l(a).
a**2 + 4*a - 7
Let j(l) = 7*l - 3. Let x(s) = s + 1. Let p(m) = 3*m + 1. Let k(f) = -p(f) + 2*x(f). Let a be 2 + (-70)/22 - (-16)/88. What is a*j(g) - 4*k(g)?
-3*g - 1
Let r(w) = -2*w**2. Let j(d) = d**2. Let v(s) = 2*s**2. Let i(p) = -4*j(p) + v(p). Let u = -1 + -3. Give u*r(h) + 5*i(h).
-2*h**2
Let v(p) = -2 + p**2 - p**3 - 1 - p + 2. Let y(u) = -2*u**2 + 5*u | {
"pile_set_name": "DM Mathematics"
} |
2105?
5, 421
List the prime factors of 4568.
2, 571
List the prime factors of 1156.
2, 17
What are the prime factors of 13870?
2, 5, 19, 73
List the prime factors of 16976.
2, 1061
List the prime factors of 115617.
3, 17, 2267
List the prime factors of 5469.
3, 1823
List the prime factors of 1018.
2, 509
List the prime factors of 1620.
2, 3, 5
List the prime factors of 98.
2, 7
What are the prime factors of 2753?
2753
What are the prime factors of 1086?
2, 3, 181
What are the prime factors of 33?
3, 11
What are the prime factors of 6715?
5, 17, 79
List the prime factors of 86426.
2, 79, 547
List the prime factors of 1780.
2, 5, 89
List the prime factors of 888.
2, 3, 37
List the prime factors of 24684.
2, 3, 11, 17
List the prime factors of 30251.
13, 179
List the prime factors of 54343.
31, 1753
What are the prime factors of 5821?
5821
List the prime factors of 2788.
2, 17, 41
List the prime factors of 166.
2, 83
List the prime factors of 2695.
5, 7, 11
List the prime factors of 12614.
2, 7, 17, 53
List the prime factors of 7744.
2, 11
What are the prime factors of 4470?
2, 3, 5, 149
List the prime factors of 1581.
3, 17, 31
What are the prime factors of 2633?
2633
List the prime factors of 2770.
2, 5, 277
List the prime factors of 14772.
2, 3, 1231
List the prime factors of 15462.
2, 3, 859
What are the prime factors of 8977?
47, 191
List the prime factors of 279.
3, 31
List the prime factors of 1491.
3, 7, 71
List the prime factors of 6113.
6113
What are the prime factors of 3842?
2, 17, 113
What are the prime factors of 2492?
2, 7, 89
What are the prime factors of 9897?
3, 3299
List the prime factors of 5322.
2, 3, 887
What are the prime factors of 82781?
82781
What are the prime factors of 470?
2, 5, 47
What are the prime factors of 469?
7, 67
What are the prime factors of 552?
2, 3, 23
What are the prime factors of 297?
3, 11
What are the prime factors of 16556?
2, 4139
What are the prime factors of 15278?
2, 7639
What are the prime factors of 1825?
5, 73
List the prime factors of 66207.
3, 29, 761
What are the prime factors of 4775?
5, 191
List the prime factors of 6440.
2, 5, 7, 23
List the prime factors of 103667.
83, 1249
What are the prime factors of 125?
5
List the prime factors of 189.
3, 7
List the prime factors of 999.
3, 37
What are the prime factors of 3556?
2, 7, 127
What are the prime factors of 3?
3
What are the prime factors of 2377?
2377
What are the prime factors of 935?
5, 11, 17
What are the prime factors of 8285?
5, 1657
List the prime factors of 457.
457
List the prime factors of 2523.
3, 29
List the prime factors of 15533.
7, 317
What are the prime factors of 57488?
2, 3593
List the prime factors of 117400.
2, 5, 587
List the prime factors of 604.
2, 151
List the prime factors of 2057.
11, 17
What are the prime factors of 772?
2, 193
List the prime factors of 3046.
2, 1523
List the prime factors of 12154.
2, 59, 103
What are the prime factors of 2820?
2, 3, 5, 47
List the prime factors of 10674.
2, 3, 593
What are the prime factors of 16242?
2, 3, 2707
List the prime factors of 296.
2, 37
What are the prime factors of 1143?
3, 127
List the prime factors of 578.
2, 17
List the prime factors of 33500.
2, 5, 67
What are the prime factors of 1563?
3, 521
What are the prime factors of 7959?
3, 7, 379
List the prime factors of 80.
2, 5
List the prime factors of 74679.
3, 11, 31, 73
What are the prime factors of 546?
2, 3, 7, 13
List the prime factors of 30470.
2, 5, 11, 277
What are the prime factors of 885?
3, 5, 59
What are the prime factors of 717?
3, 239
What are the prime factors of 49929?
3, 11, 17, 89
What are the prime factors of 37141?
13, 2857
List the prime factors of 1677.
3, 13, 43
List the prime factors of 2914.
2, 31, 47
What are the prime factors of 6353?
6353
What are the prime factors of 7897?
53, 149
What are the prime factors of 11813?
11813
What are the prime factors of 96778?
2, 11, 53, 83
List the prime factors of 37662.
2, 3, 6277
List the prime factors of 40206.
2, 3, 6701
List the prime factors of 1701.
3, 7
List the prime factors of 200.
2, 5
What are the prime factors of 5015?
5, 17, 59
What are the prime factors of 1610?
2, 5, 7, 23
What are the prime factors of 3461?
3461
What are the prime factors of 324?
2, 3
What are the prime factors of 45444?
2, 3, 7, 541
What are the prime factors of 1245?
3, 5, 83
List the prime factors of 12.
2, 3
List the prime factors of 36937.
43, 859
What are the prime factors of 55575?
3, 5, 13, 19
List the prime factors of 5438.
2, 2719
What are the prime factors of 1801?
1801
List the prime factors of 28273.
7, 577
List the prime factors of 1555.
5, 311
What are the prime factors of 23983?
29, 827
What are the prime factors of 15233?
15233
What are the prime factors of 58775?
5, 2351
What are the prime factors of 21597?
3, 23, 313
What are the prime factors of 46819?
46819
List the prime factors of 2631.
3, 877
List the prime factors of 8054.
2, 4027
What are the prime factors of 16206?
2, 3, 37, 73
What are the prime factors of 60098?
2, 151, 199
What are the prime factors of 9210?
2, 3, 5, 307
List the prime factors of 8652.
2, 3, 7, 103
What are the prime factors of 69?
3, 23
What are the prime factors of 26085?
3, 5, 37, 47
What are the prime factors of 27523?
17, 1619
List the prime factors of 18820.
2, 5, 941
List the prime factors of 13856.
2, 433
What are the prime factors of 896?
2, 7
What are the prime factors of 15689?
29, 541
List the prime factors of 3740.
2, 5, 11, 17
List the prime factors of 997.
997
What are the prime factors of 6123?
3, 13, 157
What are the prime factors of 40928?
2, 1279
What are the prime factors of 32075?
5, 1283
What are the prime factors of 536?
2, 67
What are the prime factors of 23427?
3, 19, 137
List the prime factors of 51.
3, 17
What are the prime factors of 1773?
3, 197
List the prime factors of 1110.
2, 3, 5, 37
List the prime factors of 4342.
2, 13, 167
What are the prime factors of 16892?
2, 41, 103
List the prime factors of 11582.
2, 5791
List the prime factors of 8936.
2, 1117
List the prime factors of 316.
2, 79
What are the prime factors of 9718?
2, 43, 113
List the prime factors of 3336.
2, 3, 139
What are the prime factors of 15983?
11, 1453
What are the prime factors of 2194?
2, 1097
List the prime factors of 3351.
3, 1117
List the prime factors of 124735.
5, 13, 19, 101
List the prime factors of 110764.
2, 27691
List the prime factors of 18557.
7, 11, 241
What are the prime factors of 33576?
2, 3, 1399
List the prime factors of 4068.
2, 3, 113
What are the prime factors of 19727?
19727
What are the prime factors of 3622?
2, 1811
List the prime factors of 43309.
7, 23, 269
List the prime factors of 26078.
2, 13, 17, 59
List the prime factors of 12604.
2, 23, 137
List the prime factors of 1950.
2, 3, 5, 13
List the prime factors of 21038.
2, 67, 157
List the prime factors of 36392.
2, 4549
What are the prime factors of 163257?
3, 54419
What are the prime factors of 20401?
23, 887
List the prime factors of 48.
2, 3
What are the prime factors of 11802?
2, 3, 7, 281
List the prime factors of 1199.
11, 109
What are the prime factors of 155242?
2, 77621
What are the prime factors of 1359?
3, 151
List the prime factors of 596.
2, 149
List the prime factors of 372.
2, 3, 31
What are the prime factors of 10346?
2, 7, 739
List the prime factors of 11998.
2, 7, 857
What are the prime factors of 1186?
2, 593
List the prime factors of 336.
2, 3, 7
What are the prime factors of 28629?
3, 3181
List the prime factors of 18023.
67, 269
List the prime factors of 3673.
3673
List the prime factors of 4987.
4987
What are the prime factors of 654?
2, 3, 109
What are the prime factors of 6259?
11, 569
List the prime factors of 4196.
2, 1049
What are the prime factors of 3440?
2, 5, 43
What are the prime factors of 7126?
2, 7, 509
What are the prime factors of 1223?
1223
What are the prime factors of 50341?
50341
List the prime factors of 264.
2, 3, 11
List the prime factors of 568.
2, 71
List the prime factors of 36644.
2, 9161
List the prime factors of 506.
2, 11, 23
What are the prime factors of 3056?
2, 191
List the prime factors of 654.
2, 3, 109
What are the prime factors of 20853?
3, 7, 331
What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
acement from mommooommo. Give prob of sequence ommm.
5/84
Calculate prob of sequence old when three letters picked without replacement from jdtoljdltdttdd.
5/1092
Three letters picked without replacement from {x: 7, p: 2, w: 3, t: 5}. Give prob of sequence xxw.
21/680
What is prob of sequence ai when two letters picked without replacement from {v: 1, d: 2, z: 6, t: 1, a: 5, i: 2}?
5/136
Four letters picked without replacement from tlttiptli. Give prob of sequence lpil.
1/756
Two letters picked without replacement from bbllbb. Give prob of sequence bb.
2/5
What is prob of sequence vm when two letters picked without replacement from ssxnffsvffmnf?
1/156
Four letters picked without replacement from ddhmmddddmmdfddm. Give prob of sequence dhfm.
3/2912
Three letters picked without replacement from {o: 5, t: 1, b: 1, p: 2}. Give prob of sequence opp.
5/252
Three letters picked without replacement from xcceghv. What is prob of sequence vcc?
1/105
Four letters picked without replacement from {q: 6, p: 6}. Give prob of sequence qqqq.
1/33
Four letters picked without replacement from {s: 3, y: 3, e: 1, c: 2, h: 3, l: 1}. Give prob of sequence yceh.
3/2860
Two letters picked without replacement from {z: 5, b: 4, o: 6, n: 4}. Give prob of sequence nb.
8/171
Three letters picked without replacement from {i: 5, r: 8}. Give prob of sequence iri.
40/429
Calculate prob of sequence rzzz when four letters picked without replacement from {z: 9, r: 3}.
7/55
Two letters picked without replacement from {p: 3, w: 1, d: 1, i: 1, g: 1}. Give prob of sequence id.
1/42
What is prob of sequence dmdd when four letters picked without replacement from msddd?
1/20
Two letters picked without replacement from taaaataaaataaaaaaaaa. What is prob of sequence ta?
51/380
What is prob of sequence bx when two letters picked without replacement from xooxxxodbhx?
1/22
Three letters picked without replacement from {t: 2, z: 3, e: 9, u: 1, c: 2}. Give prob of sequence uzt.
1/680
What is prob of sequence izfa when four letters picked without replacement from zanfizanifnizzizizmz?
7/5814
Four letters picked without replacement from shsrsshhhrhshrrh. What is prob of sequence hhsh?
5/208
Four letters picked without replacement from tottataozloz. Give prob of sequence toaa.
1/495
Three letters picked without replacement from vfefvltk. What is prob of sequence etv?
1/168
What is prob of sequence nm when two letters picked without replacement from {f: 5, n: 3, h: 1, m: 1}?
1/30
Calculate prob of sequence jtjj when four letters picked without replacement from jjjtttt.
1/35
Four letters picked without replacement from {k: 1, m: 1, x: 1, i: 1, r: 1}. Give prob of sequence krim.
1/120
Calculate prob of sequence mvmf when four letters picked without replacement from mmfgfgmmmzfmmmvomm.
1/272
What is prob of sequence yy when two letters picked without replacement from {z: 4, y: 6, l: 1}?
3/11
Calculate prob of sequence qisu when four letters picked without replacement from uasiqsm.
1/420
Calculate prob of sequence ptm when three letters picked without replacement from pmmpmpmtpmttmpppp.
3/85
Three letters picked without replacement from oezovoa. Give prob of sequence vzv.
0
Three letters picked without replacement from dyccqcycdyqdccyqycd. Give prob of sequence ydd.
10/969
Three letters picked without replacement from {k: 2, z: 1, v: 2, q: 1, r: 4}. Give prob of sequence vkr.
1/45
Calculate prob of sequence ffm when three letters picked without replacement from fffmmmm.
4/35
Two letters picked without replacement from iiiifiiifiiskk. Give prob of sequence fi.
9/91
Two letters picked without replacement from {o: 3, y: 7}. What is prob of sequence yy?
7/15
What is prob of sequence wbb when three letters picked without replacement from {b: 4, m: 7, w: 5}?
1/56
Two letters picked without replacement from {q: 5, o: 1, j: 2, d: 2, h: 1, s: 4}. What is prob of sequence dd?
1/105
Two letters picked without replacement from mjlzlwm. Give prob of sequence mw.
1/21
Four letters picked without replacement from eccceeecec. What is prob of sequence cccc?
1/42
Calculate prob of sequence ryoe when four letters picked without replacement from {o: 5, y: 4, r: 1, e: 5}.
5/1638
Four letters picked without replacement from {x: 4, l: 2, y: 1, t: 2}. Give prob of sequence yxtx.
1/126
What is prob of sequence pppp when four letters picked without replacement from {p: 8, v: 2}?
1/3
Calculate prob of sequence jarj when four letters picked without replacement from {a: 2, r: 5, j: 5}.
5/297
Three letters picked without replacement from zpzzzzzzzzzzzzzzzzz. Give prob of sequence pzz.
1/19
Four letters picked without replacement from dykwwedk. Give prob of sequence dwkw.
1/210
Three letters picked without replacement from {l: 7, w: 1, z: 2, i: 4, y: 1, o: 2}. Give prob of sequence ozl.
7/1020
What is prob of sequence jj when two letters picked without replacement from hxjjhzddkxjxddxdxh?
1/51
What is prob of sequence bcx when three letters picked without replacement from {x: 6, c: 2, b: 3, v: 1, d: 2, m: 1}?
6/455
Calculate prob of sequence lm when two letters picked without replacement from {w: 1, l: 1, m: 3, n: 9}.
3/182
Four letters picked without replacement from {d: 9}. Give prob of sequence dddd.
1
What is prob of sequence mdvm when four letters picked without replacement from {d: 1, v: 2, m: 7}?
1/60
Four letters picked without replacement from sdqddoqstddsdxdssddd. What is prob of sequence tqqs?
1/11628
Two letters picked without replacement from {o: 8, j: 6, d: 1}. Give prob of sequence jd.
1/35
What is prob of sequence mm when two letters picked without replacement from {p: 5, s: 2, m: 8}?
4/15
What is prob of sequence yny when three letters picked without replacement from {y: 6, n: 4}?
1/6
Calculate prob of sequence pp when two letters picked without replacement from {t: 3, p: 2, x: 4, m: 2, d: 2, l: 1}.
1/91
Two letters picked without replacement from {w: 4, i: 2, y: 2}. What is prob of sequence iw?
1/7
Calculate prob of sequence mvv when three letters picked without replacement from {v: 8, z: 3, m: 6}.
7/85
Three letters picked without replacement from {q: 1, g: 12}. What is prob of sequence ggg?
10/13
What is prob of sequence jsff when four letters picked without replacement from {s: 3, t: 4, e: 4, f: 7, j: 1}?
7/5168
Calculate prob of sequence ewg when three letters picked without replacement from llelwwgwtwt.
2/495
What is prob of sequence ks when two letters picked without replacement from oppzkzzzso?
1/90
Two letters picked without replacement from {n: 7, p: 3, f: 2}. What is prob of sequence nf?
7/66
Calculate prob of sequence kr when two letters picked without replacement from krrrkrr.
5/21
Three letters picked without replacement from blbcwlrccbcbbwcc. What is prob of sequence lwl?
1/840
Four letters picked without replacement from {f: 9, b: 2}. Give prob of sequence bffb.
1/55
Two letters picked without replacement from {k: 9, q: 2, r: 1, b: 2}. What is prob of sequence kb?
9/91
Calculate prob of sequence jjl when three letters picked without replacement from {l: 16, j: 2}.
1/153
What is prob of sequence acuu when four letters picked without replacement from {s: 4, t: 1, a: 3, c: 1, u: 9}?
1/340
Three letters picked without replacement from fffhhf. Give prob of sequence hhf.
1/15
What is prob of sequence pqq when three letters picked without replacement from {q: 11, p: 5}?
55/336
Calculate prob of sequence mmjm when four letters picked without replacement from {m: 11, j: 3}.
45/364
Two letters picked without replacement from zezzzzzzzzzzzzzzzzz. What is prob of sequence zz?
17/19
Three letters picked without replacement from {s: 1, f: 1, l: 2, g: 1, m: 1, p: 1}. Give prob of sequence slp.
1/105
Calculate prob of sequence fxff when four letters picked without replacement from ifxxfxiixiixifx.
1/910
What is prob of sequence pp when two letters picked without replacement from ppuvpuuuup?
2/15
Two letters picked without replacement from rrrrrdrrrrrdrf. What is prob of sequence fr?
11/182
Four letters picked without replacement from sssssvssssvvssssw. Give prob of sequence wssv.
39/4760
Calculate prob of sequence rx when two letters picked without replacement from {p: 1, r: 6, x: 4, b: 5}.
1/10
Calculate prob | {
"pile_set_name": "DM Mathematics"
} |
79, l - 2*d - x = 258. What is the highest common divisor of l and 36?
36
Let u(z) = 4*z**2 - 46*z - 578. Let l be u(-8). Calculate the greatest common divisor of l and 134.
2
Suppose 12*u = -397 - 23. Let l(h) = -3*h**2 - 103*h + 74. Let g be l(u). Let s(z) = -2*z + 2. Let b be s(-4). Calculate the greatest common factor of b and g.
2
Let i be 20/(4/(-2)) - (1348 + -1382). Calculate the highest common factor of 5484 and i.
12
Let w(v) = 240*v - 168. Let h be w(3). What is the highest common factor of h and 966?
138
Let s = 95 - 91. Suppose s*b - 7*b + 30 = 0. What is the highest common divisor of b and 12?
2
Let y(q) = 2651*q - 227698. Let g be y(86). Let v = -9 + 18. What is the greatest common divisor of v and g?
9
Suppose -3*a + 9472 = 2*n, -3158 = -a - 26*n + 25*n. Calculate the greatest common factor of 36 and a.
12
Let i(f) = -f**3 - 14*f**2 - 31*f + 24. Let v be i(-11). Suppose 0 = v*l - 2*z - 98, z = 5*l + 178 - 443. Calculate the highest common divisor of l and 126.
18
Let i(t) = 93*t + 4318. Let z be i(34). Calculate the highest common factor of z and 88.
88
Let g = -187 + 83. Let z = g - -124. Calculate the greatest common divisor of z and 140.
20
Let s(t) be the first derivative of 1/3*t**3 + 5*t - 13/2*t**2 - 10. Let k be s(13). What is the highest common divisor of 40 and k?
5
Let i = 25 - -29. Let l be (1 - (-7 + 6))/((-2)/(-27)). What is the highest common factor of i and l?
27
Suppose 3*y + 2178 = -47*y + 116*y. Suppose 12 = 4*c - 0*c. Calculate the highest common factor of y and c.
3
Suppose -2054*t + 658764 = 470*t. Suppose 3*n - 116 = -3*b - 20, 4*b - 5*n = 164. What is the greatest common divisor of b and t?
9
Let r be (2/(-2))/(13/(-13 - 52)). Suppose -2 = -2*f - 66. Let l = r - f. What is the greatest common divisor of l and 74?
37
Let z(q) = -18*q - 34. Let u be z(11). Let f = -21 - -37. Let s be (-2)/4 + 0 - u/f. Calculate the greatest common divisor of 14 and s.
14
Suppose b = 4*b + r - 1843, -2*r = -3*b + 1858. Calculate the highest common factor of 396 and b.
44
Let y(p) = -25 - 6*p - 3*p + 6*p. Let c be y(-13). Let l = 54 - c. What is the greatest common divisor of 16 and l?
8
Let a(n) be the first derivative of 70*n**3/3 - 11*n**2/2 + 11*n - 21. Let p be a(1). What is the greatest common factor of p and 56?
14
Let p(g) = 4*g**3 - 17*g**2 - 41*g + 247. Let t be p(7). Calculate the greatest common factor of 1 and t.
1
Let k(r) = -r + 11. Suppose 3 = 4*q + 5*c, 3*q - 1 = -5*c + c. Let d be 2/q - (-94)/14. Let x be k(d). Calculate the greatest common factor of x and 20.
4
Suppose -6*w + 6*w - 3*w = 0. Suppose w = 3*a - 5*u - 49, -4*u = -a + 17 - 3. What is the highest common factor of a and 12?
6
Let l(u) = -16*u**2 - 182*u + 54. Let b be l(-8). Calculate the greatest common factor of 12 and b.
6
Let v be (1 - (-18)/(-14)) + 484/28. Suppose r + v = -24. Let i = r - -48. Calculate the highest common divisor of 28 and i.
7
Let s(v) = -2*v**3 - 120*v**2 - v - 75. Let k be s(-60). Suppose -217 = -5*o - 42. Let y = o + k. What is the greatest common factor of 15 and y?
5
Suppose -u + 19*q - 114 = 0, 2*q - 165 = -2*u - 73. Let m be (-4)/(-10) + 2/(-5). Suppose m = 5*r - 85 - 390. Calculate the highest common factor of u and r.
19
Let h(y) = 208*y**3 - 7*y**2 - y + 8. Let l be h(1). What is the highest common factor of l and 3458?
26
Let l = -3243 - -3253. Let r(x) = -x + 13. Let o be r(-9). Calculate the greatest common factor of l and o.
2
Suppose -4*r = -3*i - 16 + 618, -2*i + 404 = -4*r. Calculate the greatest common factor of i and 264.
66
Suppose -56*o = -53*o + 225. Let a be (((-11)/(-2))/(-1))/(o/6150). What is the highest common factor of 41 and a?
41
Suppose -74*n = -93*n + 532. What is the highest common divisor of 3430 and n?
14
Let x = -11883 + 11910. Let a be 2262/21 + (-4)/(-14). Calculate the greatest common divisor of a and x.
27
Let z(g) = -4*g - 11. Let s be z(-4). Suppose 4*b - 19 = w + 8, s*b = -3*w + 38. Suppose 2*o - 29 = -b. What is the greatest common divisor of o and 1?
1
Suppose u + k + k = 84, 0 = 2*u - 2*k - 174. Suppose 5*h + 3*f - 1896 = 0, 5*f + 2000 = 785*h - 780*h. Calculate the highest common factor of h and u.
43
Let t(i) be the first derivative of i**2 + 29*i + 9. Let s be t(-12). Suppose 0 = s*w - 2*w - 21. Calculate the greatest common divisor of w and 21.
7
Suppose -13*a - 4*a - 8*a + 5600 = 0. Calculate the highest common factor of 21 and a.
7
Suppose -149*c - 20*c - 29*c + 720918 = 0. What is the greatest common divisor of 33 and c?
11
Suppose -4*n + 136 = s, 47 = 2*s + 31. What is the highest common factor of 1028 and n?
4
Let l = -1886 - -1903. Calculate the highest common divisor of l and 1088.
17
Suppose 11*a + 9632 = 10402. Calculate the highest common factor of 525 and a.
35
Let w be ((-15)/(-6))/(6/4 + -1). Let y be w*(-16)/120*(-1 + -11). What is the highest common factor of y and 64?
8
Let z be (-1)/(-3) + (20/(-15))/1. Let b be (-4)/((-12)/309) - z. Suppose b = -7*g + 11*g. What is the greatest common factor of g and 286?
26
Suppose 7*s - 27 = 6*s. Suppose 4*c + 5 - 9 = 4*w, -4*c + 7 = -3*w. What is the highest common divisor of s and w?
3
Let v = 331 + -346. Let k be (-418)/v - 17/(1275/(-10)). What is the highest common factor of 154 and k?
14
Let k = -587 + 1063. Let h(i) = k*i**3 - 480*i**3 - 4*i**2 - i**2 - 4 + i + 3. Let m be h(-4). What is the highest common factor of 9 and m?
9
Let l = 437 + -336. Let t = l + 133. Calculate the highest common factor of t and 18.
18
Let w(u) = -4*u**3 - 8*u**2 - 2*u + 85. Let t be w(-7). What is the highest common divisor of t and 39?
13
Let u(w) = 74*w**2 + 7*w - 7. Let h be u(1). Suppose -g = 3*p - h, 3*p + 4*g - 54 = 8. What is the greatest common factor of 182 and p?
26
Suppose f - 120 = 5*q + 338, 2368 = 5*f + q. Let u = f + -459. Let n = 206 - 108. Calculate the highest common divisor of n and u.
14
Suppose 3*h - 5*q = h + 76, 5*h + 3*q - 190 = 0. Let l(p) = -3*p**3 - 157*p**2 - 37*p + 1141. Let n be l(-52). What is the highest common factor of n and h?
19
Let o be (-9)/15*-5 + -52. Let c = -19 - o. Suppose -2*w = -54 - 186. What is the highest common divisor of w and c?
30
Let j(x) = x**2 - 8*x + 12. Let f be j(8). Suppose 4*g = -m + 53, 3*g - 43 = -g + m. Suppose -g*o + 1385 = -487. Calculate the highest common factor of o and f.
12
Let p be 2 + ((-2)/(-4)*6 - 1). Suppose 30 = p*d + 190. Let l be (18/8)/(105/d + 3). Calculate the greatest common factor of 78 and l.
6
Let k = 38 + -27. Let l = -398 + 125. Let r = -152 - l. What is the greatest common divisor of k and r?
11
Let w be -7 - ((-30 - 42456/36) + (-5)/3). Calculate the highest common divisor of 364 and w.
28
Let u = -124 + 208. Let o(y) = 2*y**2 - 7*y - 410. Let n be o(18). Calculate the highest common factor of u and n.
28
Let z = 38 - -55. Suppose 8*g + z = 893. Calculate the highest common factor of g and 80.
20
Let y be -2 + 44 + 6/3. Let c = -500 - -500. Suppose 3*a - 4*z = -2*a + 95, 3*a - 5*z - y = c. What is the highest common divisor of 92 and a?
23
Suppose -25*f = -12*f + 28*f - 263917. Calculate the greatest common divisor of 41 and f.
41
Let a(y) = 24 + 4*y + y**2 - 7 - 17*y + 5*y. Let p be a(5). Suppose 2*z = 3*n + 11, p*n + 15 = 3*z - n. What is the greatest common divisor of 44 and z?
4
Suppose -1115*x + 553*x - 49657 = -579*x. What is the highest common factor of x and 161?
23
Suppose 41*b - 68719 = -15624. What is the highest common divisor of b and 49?
7
Suppose 10*w = 59 + 111. Suppose -c + 0*c + 62 = -3*n, -4*c + w = -n. Let m be 8/(-60)*n*10. What is the highest common divisor of m and 8?
4
Suppose 910 = 4*z - 3*i + 2643, 2*i = -2*z - 856. Let g = z + 653. What is the highest common divisor of g and 6?
6
Suppose 0 = -3*h + 4*f - 1, 2*h - 5*f = -f - 2. Let m(r) = -8 + 17*r**2 + 4*r**3 + 0 - 5*r**3 + r. Let z be m(17). What is the highest common factor of h and z?
1
Suppose -353 = -a - 19*p + 17*p, -5*p + 710 = 2*a. Calculate the greatest common divisor of a and 30.
15
Let x(g) = g**2 - 25*g + 29. Let r be x(24). Suppose -276 = -4*k - 3*u + 363, r*k + u = 785. What is the highest common factor of 39 and k?
39
Let b = -2271 + 3054. Calculate the highest common factor of 432 and b.
27
Let q = 1184 + -1024. Calculate the greatest common factor o | {
"pile_set_name": "DM Mathematics"
} |
108494738.
2*(s - 513)**2*(s - 349)**2
Determine y, given that -2*y**2/5 - 7638*y - 686772/5 = 0.
-19077, -18
Factor 2*k**3/9 - 225854*k**2/9 + 2125455530*k/3 - 708460082.
2*(k - 56463)**2*(k - 1)/9
Factor -18*i**3 - 100704*i**2 - 67130*i - 11188.
-2*(i + 5594)*(3*i + 1)**2
Suppose 4*c**4/7 - 26540*c**3 + 2157230904*c**2/7 - 2156673584*c/7 - 4314090272/7 = 0. What is c?
-1, 2, 23222
Factor p**2/6 + 739*p/6 + 22425.
(p + 325)*(p + 414)/6
Let n**2/5 - 579*n/5 - 5292/5 = 0. What is n?
-9, 588
Factor -3*p**2/7 - 632529*p/7 + 632532/7.
-3*(p - 1)*(p + 210844)/7
Find o such that 3*o**4 - 423*o**3 + 5622*o**2 + 6048*o = 0.
-1, 0, 16, 126
Solve 4*x**4 - 176*x**3 + 500*x**2 - 328*x = 0.
0, 1, 2, 41
Determine l, given that -2*l**5/9 - 8*l**4 + 830*l**3/9 + 100*l**2 = 0.
-45, -1, 0, 10
Factor -12*n**2 - 148*n + 9520.
-4*(n + 35)*(3*n - 68)
Solve 2*d**3/15 - 188900*d**2 + 66906018750*d = 0 for d.
0, 708375
Factor f**5/7 + 2070*f**4/7 + 1075357*f**3/7 + 4276620*f**2/7 + 4268356*f/7.
f*(f + 2)**2*(f + 1033)**2/7
Suppose -2*q**4/19 - 8128*q**3/19 - 8118716*q**2/19 + 283122624*q/19 - 2426675778/19 = 0. Calculate q.
-2049, 17
Let -15*b**2 + 43*b/3 + 2/3 = 0. What is b?
-2/45, 1
Factor 4*y**2 + 1720*y - 117600.
4*(y - 60)*(y + 490)
Let 2*h**2/7 - 1516*h/7 + 287282/7 = 0. What is h?
379
Suppose n**2/4 - 2281*n + 4561 = 0. What is n?
2, 9122
Let 4*l**4 + 1460*l**3 - 92852*l**2 - 190068*l - 95760 = 0. Calculate l.
-420, -1, 57
Determine t so that -t**3/5 + 759*t**2 - 15143*t/5 - 79611/5 = 0.
-3, 7, 3791
Factor -y**3 + 556*y**2 - 513*y - 23310.
-(y - 555)*(y - 7)*(y + 6)
Let 50*s**3/7 - 78090*s**2/7 + 62448*s/7 - 1784 = 0. Calculate s.
2/5, 1561
Suppose 3*k**5/5 - 33*k**4/5 - 201*k**3/5 + 1113*k**2/5 - 882*k/5 = 0. What is k?
-7, 0, 1, 3, 14
Find c, given that -3*c**5 + 237*c**4 + 3777*c**3 + 11907*c**2 + 8370*c = 0.
-10, -3, -1, 0, 93
Determine s so that s**2 - 46*s - 2952 = 0.
-36, 82
Find q, given that -3*q**4 + 852*q**3 + 20139*q**2 + 17568*q - 38556 = 0.
-21, -2, 1, 306
Solve 550*z**5 - 74255*z**4 + 362575*z**3 - 577490*z**2 + 291220*z - 2600 = 0 for z.
1/110, 1, 2, 130
Find j, given that 2*j**2/7 + 10036*j/7 - 660790/7 = 0.
-5083, 65
Solve -n**3 + 193*n**2 - 8732*n + 8540 = 0 for n.
1, 70, 122
Suppose 3*f**2 + 2055492*f + 352087280172 = 0. Calculate f.
-342582
Factor z**3/3 + 385*z**2/3 + 1900*z/3.
z*(z + 5)*(z + 380)/3
Determine c so that -c**4/3 + 6*c**3 + 20*c**2 + 62*c/3 + 7 = 0.
-1, 21
Find p such that -2*p**3 - 4306*p**2 + 4312*p + 8616 = 0.
-2154, -1, 2
Solve -5*a**5 - 680*a**4 - 27980*a**3 - 199430*a**2 + 6110545*a - 5882450 = 0.
-49, 1, 10
Determine b so that 2*b**2 + 1328*b + 156366 = 0.
-511, -153
Suppose 2*y**2/5 - 727376*y/5 + 66134480672/5 = 0. What is y?
181844
Determine f, given that 3*f**2 - 1273254*f + 135097979043 = 0.
212209
Factor -4*z**2 - 568*z - 10948.
-4*(z + 23)*(z + 119)
Suppose 1418*c**2/13 + 2572*c/13 - 528/13 = 0. What is c?
-2, 132/709
Solve b**3 - 62121*b**2 + 964661472*b + 2894543532 = 0.
-3, 31062
Determine y so that -y**5 + 83*y**4 - 1233*y**3 - 4207*y**2 - 4378*y - 1488 = 0.
-1, 24, 62
Suppose 8*o**5/11 - 58*o**4/11 - 1530*o**3/11 + 6970*o**2/11 - 6638*o/11 + 1248/11 = 0. Calculate o.
-13, 1/4, 1, 3, 16
Factor -2*a**3 + 113*a**2/2 - 101*a/2 - 109.
-(a - 2)*(a + 1)*(4*a - 109)/2
Factor -5*f**3/2 + 1105*f**2/2 + 2245*f/2 - 3345/2.
-5*(f - 223)*(f - 1)*(f + 3)/2
Suppose -x**4/5 - 38*x**3/5 + 7032*x**2/5 + 67662*x - 345303/5 = 0. What is x?
-63, 1, 87
Factor -3*l**3/5 - 261*l**2/5 - 633*l - 7227/5.
-3*(l + 3)*(l + 11)*(l + 73)/5
Determine l, given that 2*l**5/3 + 4472*l**4/3 - 4484*l**3 - 40312*l**2/3 - 22390*l/3 = 0.
-2239, -1, 0, 5
Factor 4*o**5/7 - 720*o**4/7 + 24000*o**3/7 - 32000*o**2.
4*o**2*(o - 140)*(o - 20)**2/7
Find i such that -i**5 - 60*i**4 + 530*i**3 - 960*i**2 - 529*i + 1020 = 0.
-68, -1, 1, 3, 5
Factor d**2/6 - 233*d/2 + 13180/3.
(d - 659)*(d - 40)/6
Factor t**3/7 - 1728*t**2/7 + 3453*t/7 - 1726/7.
(t - 1726)*(t - 1)**2/7
Let 2*h**5 + 436*h**4 + 1702*h**3 - 2140*h**2 = 0. Calculate h.
-214, -5, 0, 1
Factor 1539*x**4 - 9228*x**3 + 18432*x**2 - 12240*x - 48.
3*(x - 2)**3*(513*x + 2)
Factor 2*a**2/13 - 64*a/13 - 73986/13.
2*(a - 209)*(a + 177)/13
Factor g**3/4 - 465*g**2/4 - 5761*g + 11985.
(g - 510)*(g - 2)*(g + 47)/4
Suppose -20*n**5 - 516*n**4 + 1204*n**3 - 780*n**2 + 112*n = 0. What is n?
-28, 0, 1/5, 1
What is z in 4*z**2/3 + 1388*z/3 - 21784 = 0?
-389, 42
Factor 3*o**3/2 - 163836*o**2 + 8947739295*o/2 - 8947083963.
3*(o - 54611)**2*(o - 2)/2
Factor -182*z**3 + 48*z**2 + 54*z.
-2*z*(7*z + 3)*(13*z - 9)
Determine m so that -65*m**5/2 + 7601*m**4/2 - 14417*m**3/2 - 8521*m**2/2 + 7241*m + 460 = 0.
-1, -4/65, 1, 2, 115
Factor -5*q**2 - 1840*q + 870400.
-5*(q - 272)*(q + 640)
Find a such that 3*a**3 - 1140*a**2 + 1137*a = 0.
0, 1, 379
Find x such that 5*x**5 + 18835*x**4 - 56550*x**3 + 20*x**2 + 75400*x = 0.
-3770, -1, 0, 2
Solve -t**5/3 - 6*t**4 + 47*t**3 - 82*t**2/3 - 80*t = 0 for t.
-24, -1, 0, 2, 5
Factor -w**4 + 358*w**3 - 1977*w**2 - 47120*w - 140800.
-(w - 352)*(w - 16)*(w + 5)**2
Suppose -3*x**5 - 870*x**4 + 26457*x**3 - 86292*x**2 - 1654236*x = 0. Calculate x.
-318, -6, 0, 17
Solve 5*n**3 + 3829990*n**2 + 733441170005*n = 0 for n.
-382999, 0
Find s, given that 4*s**4 - 33972*s**3 - 135964*s**2 + 101892*s + 611784 = 0.
-3, 2, 8497
What is y in -4*y**2 + 148976*y - 1387115536 = 0?
18622
Determine j so that -3*j**5 - 1998*j**4 + 10047*j**3 - 12090*j**2 - 8028*j + 16104 = 0.
-671, -1, 2
Factor -2469*g**2 + 49378*g + 40.
-(g - 20)*(2469*g + 2)
Find f such that -3*f**3 + 93246*f**2 + 466323*f - 559566 = 0.
-6, 1, 31087
Factor -b**5 + 1106*b**4 + 2216*b**3 + 2*b**2 - 2215*b - 1108.
-(b - 1108)*(b - 1)*(b + 1)**3
Determine m, given that -m**4/4 - 77207*m**3/4 - 496736970*m**2 - 4261009715792*m + 4261506472064 = 0.
-25736, 1
Solve 4*f**4 + 228*f**3 - 65704*f**2 - 132288*f = 0 for f.
-159, -2, 0, 104
Find o, given that -3214*o**5/7 + 16066*o**4/7 - 25692*o**3/7 + 1832*o**2 + 16*o/7 = 0.
-2/1607, 0, 1, 2
Factor 2*m**4/3 - 10480*m**3/3 + 6162156*m**2 - 11288129216*m/3 + 547886809834/3.
2*(m - 1729)**3*(m - 53)/3
Determine p so that 2*p**5/3 + 296*p**4/3 - 202*p**3 - 884*p**2/3 + 2392*p/3 - 400 = 0.
-150, -2, 1, 2
Determine z so that 4*z**3 + 5620*z**2 - 85264*z - 90880 = 0.
-1420, -1, 16
Suppose g**3/10 + 22*g**2/5 - 202*g/5 + 312/5 = 0. What is g?
-52, 2, 6
Factor -2*i**4 - 82*i**3 - 296*i**2.
-2*i**2*(i + 4)*(i + 37)
Let 5*m**2 + 4456045*m/3 + 990230 = 0. Calculate m.
-297069, -2/3
Determine t so that 8*t**3/7 - 822*t**2/7 - 1038*t/7 - 208/7 = 0.
-1, -1/4, 104
Suppose -2*b**3/3 + 5167*b**2/3 + 12937*b/3 - 6034 = 0. What is b?
-7/2, 1, 2586
Find b such that -b**2/8 + 1435*b/8 + 2157/4 = 0.
-3, 1438
Factor -2*f**2/9 + 20*f - 688/9.
-2*(f - 86)*(f - 4)/9
Solve -363*q**4/4 + 24981*q**3/2 + 68661*q**2/4 + 5001*q + 417 = 0.
-1, -2/11, 139
Let -3*w**4/5 + 588*w**3/5 - 18897*w**2/5 - 1035552*w/5 - 1016064/5 = 0. Calculate w.
-27, -1, 112
Solve z**3/4 + 1213*z**2/4 - 4865*z/4 + 3651/4 = 0 for z.
-1217, 1, 3
Let -2*v**3/9 - 746*v**2/3 + 2992*v/3 - 8984/9 = 0. What is v?
-1123, 2
Let 52*i**3 + 292*i**2 - 4592*i = 0. What is i?
-164/13, 0, 7
Factor -x**2/12 - 2659*x/3 - 3545/4.
-(x + 1)*(x + 10635)/12
Factor -3*z**3/2 + 3981*z**2/2 + 1992*z.
-3*z*(z - 1328)*(z + 1)/2
Let 4*t**3/7 + 776*t**2/7 + 12036*t/7 = 0. Calculate t.
-177, -17, 0
Suppose 605*a**3 - 2169255*a**2 - 11845800*a - 16159500 = 0. Calculate a.
-30/11, 3591
Let -371*k**4 + 275283*k**3 - 50789158*k**2 - 102544032*k + 276768 = 0. What is k?
-2, 1/371, 372
Factor -3*y**3/2 + 192*y**2 - 16383*y/2 + 116487.
-3*(y - 43)**2*(y - 42)/2
Factor 5*a**3 + 3278*a**2 - 1328*a - 10496.
(a - 2)*(a + 656)*(5*a + 8)
Factor m**4/8 + m**3/8 - 21*m**2/8 - 45*m/8.
m*(m - 5)*(m + 3)**2/8
Factor 4*z**3 + 1520*z**2 - 121100*z + 2205000.
4*(z - 35)**2*(z + 450)
Determine l so that -l**3 - 1749*l**2 - 13944*l - 27856 = 0.
-1741, -4
Solve 4*k**4/7 + 132*k**3/7 - 12584*k**2/7 + 36768*k/7 - 24320/7 = 0 for k.
-76, 1, 2, 40
Suppose -h**2 - 31324*h + 62652 = 0. Calculate h.
-31326, 2
Find v such that v**3/9 - 202*v**2/9 + 10279*v/9 - 6586/3 = 0.
2, 89, 111
Determine r, given that r**2 + 406*r - 56135 = 0.
-515, 109
What is v in 4*v**2 - 16460*v - 16464 = 0?
-1, 4116
Factor 3*x**2 + 292899*x | {
"pile_set_name": "DM Mathematics"
} |
/(a/a**1)*a)**(-3/8)*((a**0)**(-10))**(-24/7) assuming a is positive.
a**(29/8)
Simplify ((d*d*d**(2/23)*d*d*d**(-4)*d)/(d**(-2/49)/(d*d*d/(d/d**(-16))*d)))**36 assuming d is positive.
d**(-481680/1127)
Simplify ((m*m*m**1)**(3/10)/(m**4/(m*((m**(-1/5)/m)/m)/m)))/(m**(-3/10)*m**(-1/3))**(-28) assuming m is positive.
m**(-691/30)
Simplify ((k**(-6)/k)/k**(7/5))/(k**(-1/8)/k**0)*(k/(k/k**3*k)*k)/k**(-6)*((k**(1/15)*k)/k)/(k*(k*k**(2/5)*k)/k) assuming k is positive.
k**(-193/120)
Simplify o**(5/4)/o*o/(((o*o*o/(o*o**(-2)*o))/o)/o*o*o)*(o/o**(2/7))**(3/31)*o**0/(o/(o/(o*o*o/(o/o**0))))*o**7*o**(4/7) assuming o is positive.
o**(3377/868)
Simplify ((p**(-1))**(-26))**(2/73)/((p*p**(2/3)/p)/p*p**(-3)*p**(-2/15)*p**(-4/7)/p) assuming p is positive.
p**(44077/7665)
Simplify (w**(-10)/(w*w/(w*(w/((w/(w**(1/3)/w)*w)/w))/w)*w))**7/(w**(6/5)/w**(-4/3)*(w*w**5*w*w)/w*w**(-3/4)) assuming w is positive.
w**(-2089/20)
Simplify (f/(f/(f/f**6))*(f**5*f)/f)/((f/(f**(-1/3)*f))/f**1)*(f*f*((f*f**(1/3))/f)/f*f*f)**(2/39)*f**(-4)/((f/(f/(f**(-3)*f)))/f) assuming f is positive.
f**(-19/117)
Simplify (n**(-14)*n)**(-7/12)*(n*n*n**(-24)*n)**(-5/8) assuming n is positive.
n**(497/24)
Simplify ((((d*d/d**9)/d*d*d/d**(1/5))**(-5))**(5/6))**(2/73) assuming d is positive.
d**(155/219)
Simplify ((k**(-1))**(-5/7))**(-47)*(k*k*k*k*k*k**(-1/4)/k*k*k)/(k/(k/k**(-2/5)))*k**(-6)*k**(-2/5) assuming k is positive.
k**(-947/28)
Simplify ((r*((r**22/r*r)/r*r)/r)/r**14*r**(2/31)/(r/r**(31/5)))**(-23/3) assuming r is positive.
r**(-47288/465)
Simplify (l/(l/(l/(l/((l*l/(l*l**(-8)))/l))*l)))/l*l*l*l/(l/l**(-6/11))*l/l**(-8)*l**0*((l**(1/6)/l)/l*l**(2/15)*l)**(-4/11) assuming l is positive.
l**(1029/55)
Simplify (((u*u*(((u*u/((u**7/u)/u))/u)/u)/u*(u/(u/(u**(5/4)*u)*u*u))/u)**40)**(-15/7))**(-49) assuming u is positive.
u**(-19950)
Simplify (g**(-1))**9*(g**1*g)**31*(g*g**(-4))/g**(-4)*(g**(-4)*g)/(g/(g/g**(3/2))*g) assuming g is positive.
g**(97/2)
Simplify ((h*h**(-2))**(-13/2))**(7/2)/(h**(-8/3)*h**9*h*h)**12 assuming h is positive.
h**(-309/4)
Simplify ((((h**(-1/7)*h)/h*h**(-4)*h)/(h**4*(h/h**(-9))/h))**43)**(2/53) assuming h is positive.
h**(-9718/371)
Simplify ((o**(-2/21))**(-28)*(o/o**(-3)*o)/o**(-5/3))**(-13) assuming o is positive.
o**(-364/3)
Simplify (x/((x*x/x**2*x*x)/x))**11*(x/(x**(-2/21)/x))/(x/(x/(x/(x/x**(-1))*x)))*(x**(1/3)/x**(-1))/(x**(-4)*x**(-7/2)/x) assuming x is positive.
x**(167/14)
Simplify (((m*m**(3/5)/m)/m*m**(1/4))/((m**(1/10)*m)/((m/(m*((m/m**2*m)/m)/m))/m)))/(m/(m/m**(-5))*m**(-7))**(1/33) assuming m is positive.
m**(5/44)
Simplify ((w**(-1/7)*w**(-3))/(w*(w/(w/(w*w/(w/(w*w/(w*w**(1/5)))))))/w*w/w**(-9)))**17 assuming w is positive.
w**(-8891/35)
Simplify ((k*((k/k**(-3))/k)/k)/k**(-1))**(-20)/(k**(-5/4)*k*k**(-7)*k*(k**0)**1) assuming k is positive.
k**(-295/4)
Simplify ((((x**12/x)/(x*x/x**22))**(30/11))**38)**(1/22) assuming x is positive.
x**(17670/121)
Simplify ((l**(2/5))**(-6/7)*(l*l**(-3)*l)/l**1)/((l**(2/5))**(-34))**(1/5) assuming l is positive.
l**(66/175)
Simplify ((a*a/(a/(a*a/a**6))*a)/(a/(a**6*a*a*a)))**(-5/12)/((a**0)**(22/3)*(a**0)**45) assuming a is positive.
a**(-5/2)
Simplify ((g*g*g**(-2/13)*g)**(-2/27)/(g*g**(3/10)*(g*g*g*(g**(1/20)*g)/g)/g*g*g*g*g))**(19/2) assuming g is positive.
g**(-1008463/14040)
Simplify ((y**(2/21))**(2/31)*(y**(-18/7))**(-41))**(-1/11) assuming y is positive.
y**(-68638/7161)
Simplify (f**1*f*f*f**(-32)*(f**(26/7))**(17/2))**5 assuming f is positive.
f**(90/7)
Simplify (n**(2/5))**(-1/8)/(n**5*n**(3/8))*(n*n**1/n*n**(-2/7))/((n/n**0)/n)**4 assuming n is positive.
n**(-1319/280)
Simplify (f*f**(-1/7)*f**(-8))**(-48)/((f/(f*f**(-2)))**19/(f**(-1/4))**(5/6)) assuming f is positive.
f**(51181/168)
Simplify ((g*g**(2/7))**(-2/43)*g**(-12)*g*g*g*g**(-7/6))**(4/9) assuming g is positive.
g**(-36938/8127)
Simplify (a**4*a*a*a*a*a*(a*a**(1/6))/a*a*a*a)/(a**(-1/2)/a*a/(a/(a*a/(a*a**2/a)*a*a*a)*a))*(a**(-2/5))**(-10/9)*a/a**(-2)*a**(-1/2) assuming a is positive.
a**(263/18)
Simplify ((r/(r/((r/((r*(r/(r*r**(-1/3)))/r*r)/r))/r*r)))**(-4/19))**(2/3)*(r**(2/3))**(-40)/(r**(-6)/r*r**(-3/7)) assuming r is positive.
r**(-23140/1197)
Simplify ((j/(j/((j*j/((j/(j*j**(2/5)*j))/j))/j))*j)**(1/2))**(-28)/(((j/(j**(1/7)/j)*j)/j**(2/9))/(j/(j*j**3)*j*((j*j**(3/5))/j)/j)) assuming j is positive.
j**(-4198/63)
Simplify ((v*(v*v/v**(4/17))/v*v**(-1/25))/(v**10*v**0*v))**(-42/5) assuming v is positive.
v**(165564/2125)
Simplify ((k**(-9)*k*k/((k**0/k*k)/k)*k)/(k**(1/2))**(-26))/(((k*k**(2/3)*k)/k**0)/(k**(-1)*k)**14) assuming k is positive.
k**(16/3)
Simplify (((a**31/a*a)/a)/a)/(a/(a/((a/(a/a**(6/5)))/a)))*(a*a**(-1/67))/((a*(a*a/(a*(a**14*a)/a))/a)/a) assuming a is positive.
a**(14668/335)
Simplify ((j*(j**(-10/11)/j)/j)/j**(3/4)*(j/j**4)**7)**(-22/7) assuming j is positive.
j**(1041/14)
Simplify (g**0)**40*g**(2/7)/(g/((g**(-7)*g)/g))*(g**1/((g*g*g/(g*g**(-5)))/g))/(((g*g**(-5/6)*g)/g)/(g/((g*g**(3/7))/g))) assuming g is positive.
g**(-517/42)
Simplify (r**(-16)*(r**(-5/4)*r)/r*(r**(2/3)*r*r*r)**(-2/53))**(-1/44) assuming r is positive.
r**(11059/27984)
Simplify (w**(2/61)*w**41)/((w*(w**29*w)/w)/w)**(-44) assuming w is positive.
w**(80339/61)
Simplify (y/y**(-9)*y/(y*y/(y/y**(5/2)))*y)**(2/21)*(y**(2/15)*y**(-1/3))/(y**1/y**(1/6)) assuming y is positive.
y**(-47/210)
Simplify (d**(-2)/d**28*d**(-2/3)*d**(-2/65))**(4/27) assuming d is positive.
d**(-23944/5265)
Simplify (o/(o*o**(-3))*o*(o/o**0)/o*o*o**(-1/4)/o**(-5))**50 assuming o is positive.
o**(975/2)
Simplify ((o**(-1/6)/((o**(-1/4)/o)/o))/(o**(-1))**48)/(o*o**(6/11)*o**(-7/2))**(-9/8) assuming o is positive.
o**(25283/528)
Simplify (a**(2/9)*a**3*a*a**(-1)*a*a**4)/((a**0)**(-32)/((a/(a**6/a))/a*a*a*a*a/a**(2/5)*a*a*a)) assuming a is positive.
a**(442/45)
Simplify ((b/((b*b**(-3/8))/b))**(6/11)*(b/b**11)/b**4)**33 assuming b is positive.
b**(-1749/4)
Simplify ((z*(z/(z/z**(1/8)*z))/z*z**(3/5))/(z/(z/(z**(1/7)/z))*(z/(z**2/z*z))/z))/(z/((z*z**(3/4))/z)*z*z*z*z*z**(7/5))**(-1/10) assuming z is positive.
z**(2203/700)
Simplify ((c*(c*c/c**(-45))/c)/(c**(2/69)*c))/(c*c*c/c**38)**13 assuming c is positive.
c**(34567/69)
Simplify (h**(-2/11)*h)/((h/h**(-3))/h)*(h*h**(1/3))/(h*h**(-2)/h)*(h*h**(2/21)*h*h*h**(-6/11))/(h*(h**(-2/3)*h)/h)**(-41) assuming h is positive.
h**(4012/231)
Simplify (((l*l**1)/l)/(l*l**(-1/2)))**(-48)/((l**(-2/3))**8)**(-2/43) assuming l is positive.
l**(-3128/129)
Simplify m**(-7)/(m*m**(1/5))*m**0/(m*m**(-6))*(m**(-2))**(7/4)/((m*m*m**(-3/2)*m*m*m*m)/((m/m**(-4/3)*m)/m)) assuming m is positive.
m**(-133/15)
Simplify ((v**(3/7)/v**(5/6)*((v*v*v/(v*(v/(v**1/v))/v)*v)/v)**(-1/8))**45)**37 assuming v is positive.
v**(-30525/28)
Simplify (m/m**(-5)*m**(1/2)*(m*m**1)**13)/(m**(1/8)/m*m/(((m/(m/(m/(m*m/((m*m**(-1)*m*m)/m)))))/m)/m))**11 assuming m is positive.
m**(73/8)
Simplify (z/z**(-2/5)*(((z/z**(-1/8))/z)/z)/z*z**(-8)/(z/(z*z/(z/(z*z/(z*z**0))))))**37 assuming z is positive.
z**(-11063/40)
Simplify ((u*u**(-36))/u)**25*u**(9/8)*u*u**(-31) assuming u is positive.
u**(-7431/8)
Simplify (d*(d/(d**16/d))/d*d**38/d)/(d**(-1/82)/((d*d*d**(-34))/d*d*d)) assuming d is positive.
d**(-655/82)
Simplify (m/(m/(m/(m/m**(4/3))))*m**(-3/4)/m)/((m/m**(-1))/m)**(19/2)*((m**(-4/5)/m)/m)/m**(-1/4)*(m**5*m)/m*m*m**6/m assuming m is positive.
m**(-22/15)
Simplify ((d*d*d**(-1/8)*d*d*d)**(-1/39)*d**(-3/2)*d**(-5/6))**19 assuming d is positive.
d**(-1121/24)
Simplify (((z/z**9*z*z**(-31))**(-32))**(-3/16))**(-45) assuming z is positive.
z**10260
Simplify ((s*s**(2/5))**(-21))**(-19/5)/(s/(s/(s/(s/(s*(s**(-7)*s)/s))))*s*s**(-4)/s)**27 assuming s is positive.
s**(9543/25)
Simplify (((g/((g*g*g/g**5*g)/g))/g*g)/g*g/(g**(-10)/g*g)*(g**(-2))**(-5))**22 assuming g is positive.
g**506
Simplify ((i/i**(2/3))**(-2)*(i**(-1/3))**(-2/49))/((i/i**(1/5))/((i/(i/(i/(i**(-6)/i))))/i))**(-10) assuming i is positive.
i**(-3070/49)
Simplify ((n**(2/9)*n)**(-31))**(-17)*n/n**3*n/(n*n*n/n**4)*(n**(-1/3))**(-4/3) assuming n is positive.
n**(5801/9)
Simplify s*s/(s*(s**(-5)/s)/s)*s**(2/11)/s*(s/(s/(s*s/s**(-2/5))))**20*(s*s*s**(-11)*s**(-4/3)*s)**22 assuming s is positive.
s**(-4955/33)
Simplify (((a**(-1/3)*a)/(a*a**(-3)))/(a**(-4/3)/a**4))/((a*a**(-2)*a*a*a**(4/7)/a)/(a*a*a*a*(a/(a**(-1)/a)*a)/a*a*a | {
"pile_set_name": "DM Mathematics"
} |
e of 2040 and 146170?
29818680
What is the least common multiple of 756 and 286392?
18042696
Find the common denominator of -31/150521 and 23/84.
1806252
What is the lowest common multiple of 270 and 122508270?
367524810
Calculate the lowest common multiple of 57 and 188274.
3577206
Calculate the least common multiple of 1788740 and 13594424.
67972120
Find the common denominator of 62/665 and -103/828362.
28992670
Calculate the common denominator of -103/4470270 and 65/42574.
4470270
Calculate the smallest common multiple of 729168 and 24858.
2187504
What is the common denominator of 121/10887372 and -137/137862?
402832764
Calculate the common denominator of -1/31356672 and -35/734922.
94070016
Calculate the least common multiple of 5643 and 4644.
970596
What is the least common multiple of 1813 and 101491?
4973059
Calculate the common denominator of -32/35104725 and 2/1179.
35104725
Calculate the lowest common multiple of 379728 and 240.
1898640
Calculate the common denominator of 59/39312 and 149/242424.
1454544
What is the common denominator of -137/6 and 49/31736?
95208
What is the common denominator of -8/507 and -82/6321783?
6321783
What is the lowest common multiple of 19656728 and 5859?
530731656
What is the common denominator of -79/2181962 and 47/700630?
76368670
What is the lowest common multiple of 203757 and 372078?
8557794
What is the common denominator of -143/47286 and 151/858?
6761898
What is the lowest common multiple of 15127937 and 8?
121023496
Find the common denominator of 94/2925 and 74/2107305.
136974825
Find the common denominator of 7/909030 and 123/5540.
503602620
Calculate the least common multiple of 2853795 and 210.
5707590
Calculate the least common multiple of 48 and 10851048.
21702096
Find the common denominator of 111/35012278 and -87/22.
385135058
Find the common denominator of -46/452439 and -40/477.
23979267
Calculate the lowest common multiple of 123662 and 123662.
123662
Calculate the common denominator of 81/1268288 and -13/352.
13951168
What is the lowest common multiple of 12642 and 70563?
6915174
Find the common denominator of 157/5540040 and 109/15612840.
171741240
Calculate the lowest common multiple of 73019074 and 15128.
292076296
Find the common denominator of -19/6 and 9/11674844.
35024532
Calculate the lowest common multiple of 7080 and 124608.
623040
Find the common denominator of 19/972 and 71/2473308.
22259772
What is the lowest common multiple of 987 and 6017457?
42122199
Find the common denominator of -5/4412472 and -103/119256.
4412472
Calculate the common denominator of 97/460 and -89/2605656.
299650440
Calculate the lowest common multiple of 49321640 and 1149445.
542538040
What is the least common multiple of 4921 and 21154?
14871262
Calculate the least common multiple of 633920 and 210.
1901760
Calculate the lowest common multiple of 80304 and 556.
11162256
What is the least common multiple of 1501932 and 3754830?
7509660
Calculate the smallest common multiple of 10410534 and 1980.
1145158740
Calculate the smallest common multiple of 330262 and 73505610.
2719707570
What is the smallest common multiple of 10459548 and 18?
10459548
What is the smallest common multiple of 101788 and 4324?
110032828
Calculate the common denominator of -17/1616 and 91/513640.
103755280
What is the least common multiple of 24826575 and 147903?
173786025
What is the least common multiple of 1470 and 1917160?
40260360
Calculate the lowest common multiple of 354040479 and 65.
1770202395
Calculate the least common multiple of 120 and 28147380.
56294760
What is the least common multiple of 11384 and 7136?
10154528
What is the common denominator of -81/21500 and -71/512000?
22016000
What is the least common multiple of 2277427 and 410?
22774270
What is the common denominator of -61/5405316 and -101/168?
10810632
Find the common denominator of 25/64 and -57/1026232.
8209856
Calculate the least common multiple of 2344 and 62208.
18226944
What is the smallest common multiple of 1497076 and 122428?
360795316
Calculate the common denominator of 85/211407 and 74/26184267.
183289869
What is the lowest common multiple of 96597 and 40280949?
40280949
Calculate the smallest common multiple of 41756 and 9620.
7724860
Find the common denominator of 73/17360 and -101/1790684.
35813680
Calculate the common denominator of 17/13429768 and -3/37370.
2484507080
Find the common denominator of -83/3409224 and -31/470976.
300011712
Calculate the common denominator of 43/43080 and -143/22650.
32525400
Find the common denominator of 149/11307600 and 167/66600.
418381200
What is the lowest common multiple of 144 and 4489524?
17958096
What is the common denominator of 35/32604 and -26/16489?
48873396
Find the common denominator of -73/3651340 and 113/210.
10954020
What is the smallest common multiple of 652190 and 1210?
652190
What is the common denominator of 99/1711070 and -8/19395?
15399630
Calculate the lowest common multiple of 35 and 53451531.
267257655
What is the common denominator of 13/1499644 and 113/4498932?
4498932
Calculate the common denominator of -81/2204 and -33/106285.
8077660
What is the least common multiple of 38253 and 2142168?
2142168
Calculate the lowest common multiple of 19788 and 855152.
43612752
Calculate the lowest common multiple of 403200 and 28000.
2016000
What is the common denominator of -16/43136019 and -34/453?
43136019
What is the common denominator of -45/1561802536 and -69/16?
3123605072
What is the common denominator of 37/176251738 and -149/5574?
528755214
Calculate the smallest common multiple of 5309100 and 20.
5309100
Calculate the least common multiple of 2415585306 and 5.
12077926530
Calculate the common denominator of 59/6377 and 97/9110.
63770
What is the lowest common multiple of 1560 and 4410?
229320
What is the least common multiple of 12173 and 413?
718207
What is the smallest common multiple of 530 and 68123?
36105190
Find the common denominator of -47/232 and 12/13877305.
3219534760
What is the lowest common multiple of 51904056 and 285472308?
570944616
Calculate the smallest common multiple of 11214203 and 4235.
616781165
What is the smallest common multiple of 169938 and 3087?
58288734
Calculate the least common multiple of 36330 and 1992.
12061560
Calculate the lowest common multiple of 24640 and 4592.
1010240
Calculate the smallest common multiple of 1133 and 87550.
963050
What is the smallest common multiple of 4233 and 183532?
45699468
Calculate the lowest common multiple of 60330 and 11694.
117583170
Calculate the least common multiple of 623807 and 885.
9357105
What is the lowest common multiple of 110934768 and 342?
332804304
Calculate the least common multiple of 1226176 and 76636.
1226176
Calculate the smallest common multiple of 37632 and 16816128.
117712896
What is the common denominator of -23/1674888 and 73/92?
38522424
What is the smallest common multiple of 1099 and 110528?
773696
Calculate the lowest common multiple of 56 and 143451021.
1147608168
What is the common denominator of -11/1875 and 37/329853?
206158125
What is the smallest common multiple of 4727139 and 590?
47271390
Calculate the common denominator of -25/493392 and -39/4328.
493392
Find the common denominator of -37/2530392 and 49/105433.
2530392
What is the least common multiple of 330429572 and 240312416?
2643436576
What is the common denominator of -50/1281 and 50/651?
39711
Calculate the lowest common multiple of 143 and 5963256.
65595816
Find the common denominator of 53/340 and 45/55744.
4738240
Calculate the lowest common multiple of 1039434 and 131630142.
1447931562
What is the common denominator of -17/5348633 and -85/712?
42789064
Calculate the smallest common multiple of 97579442 and 12.
585476652
What is the common denominator of -47/101436 and 16/22673?
29112132
Calculate the common denominator of 29/8560 and 55/18093914.
723756560
Find the common denominator of 137/434277450 and 131/602640.
3474219600
Find the common denominator of -7/64614 and 23/1641783.
36119226
Find the common denominator of -13/384 and -23/238288.
5718912
Find the common denominator of 52/12601575 and -107/74676.
50406300
What is the smallest common multiple of 103309 and 21?
2169489
What is the smallest common m | {
"pile_set_name": "DM Mathematics"
} |
usand?
390000
Round 32318474540 to the nearest 1000000.
32318000000
Round -0.0000045175603 to 7 dps.
-0.0000045
What is -0.02478848629 rounded to 6 decimal places?
-0.024788
Round 1947795710 to the nearest 100000.
1947800000
What is 55537494900 rounded to the nearest 1000000?
55537000000
Round 1509886.52 to the nearest 1000.
1510000
What is 6102275.24 rounded to the nearest ten thousand?
6100000
What is -0.401053549 rounded to 2 decimal places?
-0.4
What is 13.081291 rounded to 2 decimal places?
13.08
Round 0.0012526848 to 5 decimal places.
0.00125
Round 899235.584 to the nearest 100000.
900000
Round 0.0665073727 to six dps.
0.066507
What is -0.00069012563 rounded to 5 dps?
-0.00069
What is 10765.0106 rounded to the nearest ten thousand?
10000
What is 0.0003004867074 rounded to 7 decimal places?
0.0003005
Round 0.0046699289 to six decimal places.
0.00467
Round 873.306777 to the nearest 10.
870
Round -215161.081 to the nearest ten.
-215160
What is -9607.788 rounded to the nearest 10?
-9610
Round 7823251.5 to the nearest ten thousand.
7820000
What is -0.243641659 rounded to one dp?
-0.2
Round 54.98249138 to three decimal places.
54.982
Round 150112.487 to the nearest 100.
150100
Round -12.38433992 to 0 decimal places.
-12
Round 2.046770626 to four decimal places.
2.0468
What is -6.6670686 rounded to 3 decimal places?
-6.667
What is 5548725 rounded to the nearest 10000?
5550000
What is -2951.55748 rounded to the nearest 10?
-2950
Round -0.011404545 to 5 dps.
-0.0114
What is -105258.2508 rounded to the nearest one thousand?
-105000
What is 351166.9911 rounded to the nearest 100?
351200
Round 540879 to the nearest one hundred.
540900
What is 122.14508689 rounded to the nearest 10?
120
Round 7.4416949 to 0 decimal places.
7
What is 19.6899876 rounded to two decimal places?
19.69
What is 6.09148975 rounded to one dp?
6.1
Round -22.15757547 to the nearest 10.
-20
Round 239.645845 to 0 dps.
240
What is -685.492669 rounded to 1 decimal place?
-685.5
Round -12.30600228 to 4 dps.
-12.306
What is -2398.5794 rounded to the nearest one thousand?
-2000
Round -2.91016947 to 2 decimal places.
-2.91
Round -99210.4134 to the nearest ten.
-99210
Round 85.1385386 to 2 decimal places.
85.14
Round -196301.33 to the nearest 1000.
-196000
Round -700989.2249 to the nearest one thousand.
-701000
What is -144399696.5 rounded to the nearest one million?
-144000000
Round -79958336 to the nearest ten thousand.
-79960000
What is -0.002156123033 rounded to four dps?
-0.0022
What is 41233300.47 rounded to the nearest 100000?
41200000
What is 1247231.53 rounded to the nearest ten thousand?
1250000
What is 99.2803794 rounded to 2 decimal places?
99.28
Round -0.004597887687 to 6 dps.
-0.004598
What is -80.149918 rounded to the nearest 10?
-80
What is -7497275.696 rounded to the nearest ten thousand?
-7500000
What is 0.001793007009 rounded to four decimal places?
0.0018
Round -30.4737773 to 3 decimal places.
-30.474
Round -0.00003153467446 to seven dps.
-0.0000315
What is -79698.217 rounded to the nearest 100000?
-100000
Round 0.007755194464 to 4 decimal places.
0.0078
Round 6.37637458 to the nearest integer.
6
Round 124.437833 to two decimal places.
124.44
Round 2.471138948 to three dps.
2.471
Round -10.8053546 to two decimal places.
-10.81
Round -183451563 to the nearest one hundred thousand.
-183500000
What is -70490839.2 rounded to the nearest 1000000?
-70000000
What is 792.40443 rounded to the nearest ten?
790
Round -24287.219312 to 1 decimal place.
-24287.2
What is -31829.2149 rounded to the nearest 1000?
-32000
Round -50652413.5 to the nearest one hundred thousand.
-50700000
What is 0.1092947732 rounded to three decimal places?
0.109
What is 6479.0291 rounded to 0 dps?
6479
What is -2240.565388 rounded to one decimal place?
-2240.6
What is -0.00000043295006 rounded to 6 dps?
0
Round 0.18380145 to 1 decimal place.
0.2
What is 394698779.4 rounded to the nearest ten thousand?
394700000
What is 0.4468737496 rounded to three decimal places?
0.447
Round -3770.9627 to the nearest 1000.
-4000
Round -0.0000397041987 to seven dps.
-0.0000397
What is 0.0003462775311 rounded to seven decimal places?
0.0003463
Round 70765.51578 to the nearest one hundred.
70800
What is 0.0081063 rounded to two decimal places?
0.01
Round 0.000331358548 to five decimal places.
0.00033
What is -13825.54165 rounded to the nearest one thousand?
-14000
Round 0.0537567336 to 6 decimal places.
0.053757
What is 522772500 rounded to the nearest 1000000?
523000000
Round 3585.38291 to 0 dps.
3585
What is 7997.455429 rounded to the nearest 10?
8000
What is -10569295.045 rounded to the nearest 1000?
-10569000
What is -16555092.6 rounded to the nearest one thousand?
-16555000
What is -0.00581216105 rounded to 6 decimal places?
-0.005812
What is -0.001838024107 rounded to six dps?
-0.001838
What is 14.95491145 rounded to two decimal places?
14.95
What is -1661597.091 rounded to the nearest 100000?
-1700000
What is -283.3935788 rounded to the nearest 10?
-280
Round 77.89796236 to the nearest ten.
80
Round -204799.717 to the nearest one thousand.
-205000
Round -62896.364 to the nearest ten thousand.
-60000
Round 0.10030408 to four decimal places.
0.1003
What is 4.5312042 rounded to 0 decimal places?
5
Round 2037.913725 to the nearest ten.
2040
Round 561963.94 to the nearest 100.
562000
Round 0.52009261 to zero decimal places.
1
What is 924442636 rounded to the nearest 100000?
924400000
What is 0.00132562475 rounded to 4 dps?
0.0013
What is 11409.94114 rounded to the nearest 1000?
11000
What is -222314705 rounded to the nearest one million?
-222000000
What is -0.0000173559968 rounded to 5 dps?
-0.00002
Round -0.000000390641079 to 7 decimal places.
-0.0000004
What is 598165.6067 rounded to the nearest one hundred?
598200
What is 2688851.679 rounded to the nearest one hundred?
2688900
Round 0.00064472107 to four dps.
0.0006
Round 2.5094434 to 3 decimal places.
2.509
Round 116.0428736 to the nearest ten.
120
Round 19.77385474 to 2 decimal places.
19.77
What is 50.3714843 rounded to two dps?
50.37
Round 393.6288783 to 2 decimal places.
393.63
Round 120019.132 to the nearest 10000.
120000
What is -0.00084007477 rounded to 7 dps?
-0.0008401
What is -454.15395 rounded to the nearest one hundred?
-500
What is 0.0063185714 rounded to four dps?
0.0063
Round 0.11477831444 to 2 dps.
0.11
Round 29695333 to the nearest 10000.
29700000
Round 0.0003072579 to six decimal places.
0.000307
What is 158.1760924 rounded to 0 decimal places?
158
What is 35464278.66 rounded to the nearest one thousand?
35464000
Round -0.026424863 to five decimal places.
-0.02642
What is 61158235 rounded to the nearest one hundred thousand?
61200000
Round -467108445 to the nearest 1000000.
-467000000
Round -0.0002270223977 to 7 dps.
-0.000227
Round 0.0024616594515 to six dps.
0.002462
Round -403036.872 to the nearest 10.
-403040
What is -0.000000071225327 rounded to 7 decimal places?
-0.0000001
What is -175.725368 rounded to the nearest one thousand?
0
Round 14996.930113 to 1 dp.
14996.9
What is -0.02566002 rounded to six decimal places?
-0.02566
Round -18007749.6 to the nearest one million.
-18000000
What is 0.2706564478 rounded to 4 decimal places?
0.2707
Round -108208.063 to the nearest one hundred.
-108200
What is 3.874706367 rounded to two decimal places?
3.87
What is 0.127332394 rounded to 5 dps?
0.12733
What is 1.85399817 rounded to the nearest integer?
2
Round 781678.801 to the nearest 100000.
800000
What is 5.12188887 rounded to two decimal places?
5.12
Round -27274486 to the nearest one million.
-27000000
What is -3245748.82 rounded to the nearest 100000?
-3200000
What is 0.0013182548 rounded to 6 decimal places?
0.001318
What is -4.3855898 rounded to 1 decimal place?
-4.4
Round 5142.84546 to the nearest one thousand.
5000
Round 0.5243131996 to two decimal places.
0.52
What is -0.03507343873 rounded to six decimal places?
-0.035073
Round -0.06607147551 to four decimal places.
-0.0661
What is -5207.38536 rounded to 0 decimal places?
-5207
Round 579.433883 to the nearest one hundred.
600
What is 4086.2062 rounded to the nearest 10?
4090
What is -8.57941245 rounded to 3 decimal places?
-8.579
What is 81.34561237 rounded to two decimal places?
81.35
Wha | {
"pile_set_name": "DM Mathematics"
} |
u be ((-105)/60)/((-1)/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)?
-2*o**3
Let c(n) = -3*n**3 - 2*n - 4. Let q(f) be the third derivative of 0*f - 1/4*f**4 - 11/6*f**3 + f**2 - 1/15*f**6 + 0 + 0*f**5. What is 11*c(y) - 4*q(y)?
-y**3 + 2*y
Let w(j) = 11*j**2 + 8*j + 2. Suppose 35 = 2*q + 3*q + d, 0 = -5*q - 5*d + 15. Let v(u) = -4*u**2 - 3*u - 1. Give q*v(b) + 3*w(b).
b**2 - 2
Let l(n) = -4*n**2 - 12. Let k(h) = 9*h**2 + 23. Calculate -2*k(v) - 5*l(v).
2*v**2 + 14
Let n(d) = -d + d + 8 + 11*d. Let u(p) = -4*p - 3. What is -3*n(h) - 8*u(h)?
-h
Let u(m) be the third derivative of m**5/60 - m**4/24 - m**3/6 - 40*m**2. Let l(q) = -2*q**2 + 2*q + 5. What is -l(k) - 5*u(k)?
-3*k**2 + 3*k
Let b(y) = y - 2*y**2 + y**3 + 0*y + 3*y + 6. Let n(f) be the second derivative of -f**5/20 + f**4/6 - f**3/2 - 5*f**2/2 - 37*f. Give 5*b(p) + 6*n(p).
-p**3 + 2*p**2 + 2*p
Let y(d) = 0*d - 3*d**3 + 6*d**2 + 4*d + 10 - 15. Let a(w) = 6*w**3 - 11*w**2 - 7*w + 9. What is 6*a(s) + 11*y(s)?
3*s**3 + 2*s - 1
Let o(z) = -26*z - 3. Let v(k) = 12*k + 1. Let y(r) = -4*o(r) - 9*v(r). Let i(l) = -12*l + 10. Calculate 3*i(u) - 10*y(u).
4*u
Let w(t) = t**3 + 2*t**2 - 2*t. Let a(x) = -5*x**3 - 9*x**2 + 9*x. Suppose n - 54 = -n. Let d be 1/(((-12)/n)/4). Let h be 4/3 - 6/d. Determine h*a(u) + 9*w(u).
-u**3
Let r(x) = x**2 + 5*x + 5. Suppose -2*s + 1 = -0*s - k, -2*s - 5*k - 5 = 0. Let b = s + 2. Let c(y) = y + 2*y + y**b + 0*y + 3. Give 5*c(d) - 3*r(d).
2*d**2
Let b(t) = t**2 + t. Let o(k) = -k**2 - 2*k + 2. Calculate 2*b(d) + o(d).
d**2 + 2
Let b(k) = -k**2 - k + 1. Let l(i) = 3*i**2 + 5*i - 6. Suppose 0 = -2*j + 6*j + 8. Let o be (j/4)/(4/8). Determine o*l(d) - 5*b(d).
2*d**2 + 1
Let m(t) = t - 14. Let v(w) = 1. Give m(q) - 2*v(q).
q - 16
Let p(z) = -4*z**2 + 2*z - 10. Let o(b) = 5*b**2 - 3*b + 11. Give 2*o(f) + 3*p(f).
-2*f**2 - 8
Let i(w) = -3*w**2 - 12. Let k(p) = -p**2 + 4*p - 7. Let x be k(5). Let b(y) = y**2 + 5. Determine x*b(c) - 5*i(c).
3*c**2
Let y(w) = w. Let t be -1 - (-6 - 0 - -2). Suppose -5*v - 15 = 4*m, -5*m + m = v + t. Let s = 19 + -20. Let i(n) = -n - 1. Determine s*i(h) + v*y(h).
-2*h + 1
Let x(d) be the first derivative of 2*d**2 + 6*d - 51. Let t(m) = 1. Calculate 6*t(n) - x(n).
-4*n
Let y(h) = 19*h**3 + 4*h**2 + 4. Let t(n) = 39*n**3 + 7*n**2 + 7. Calculate 4*t(x) - 7*y(x).
23*x**3
Let y(h) = 9*h - 11. Let j(w) = 1 - 9 + 2 + 5*w. Determine -11*j(p) + 6*y(p).
-p
Let h(q) = 28*q - 8 - 23*q + 4. Let o(j) = -11*j + 9. What is -5*h(a) - 2*o(a)?
-3*a + 2
Suppose 2*p + 1 = 5*i, 3*p + 7 = i + i. Let z = -1 - -3. Let a(t) = -t - 2*t - z*t. Let v(r) = r. Give p*v(y) - a(y).
2*y
Let g(s) be the first derivative of -11*s**5/120 + s**4/4 + 2*s**3/3 + 3. Let y(d) be the third derivative of g(d). Let k(z) = 4*z - 2. Give 8*k(o) + 3*y(o).
-o + 2
Let o(m) = -6*m**3 + 3*m**2 - 4*m - 1. Let f(k) = -11*k**3 + 5*k**2 - 7*k - 1. Calculate -3*f(i) + 5*o(i).
3*i**3 + i - 2
Let i be (0/(-8))/(5 + -2). Let q(p) be the second derivative of -7/12*p**4 - 1/3*p**3 + i + p - 7/2*p**2. Let o(x) = -3*x**2 - x - 3. What is 10*o(h) - 4*q(h)?
-2*h**2 - 2*h - 2
Let o(s) = 25*s. Let t(f) = -49*f. Give -11*o(j) - 6*t(j).
19*j
Let x(v) be the first derivative of -5*v**2 - v + 1. Let c = -65 - -58. Let l(k) = 3*k. Calculate c*l(u) - 2*x(u).
-u + 2
Let x be 9/1 + (-1 - 1). Let b(o) = -7*o**2 + o - 6. Let i be (-9 - -2)*1/(-1). Let l(y) = y - 2*y**2 + i - 2*y + 10*y**2. Give x*b(h) + 6*l(h).
-h**2 + h
Let f(z) = 3*z + 2. Let x(m) = -2 - 3 - 149*m + 73*m + 69*m. What is 5*f(l) + 2*x(l)?
l
Let g(a) = 16*a**3 + 7*a**2 + 7*a - 7. Let t(x) = 5*x**3 + 2*x**2 + 2*x - 2. Determine 2*g(s) - 7*t(s).
-3*s**3
Let h(m) = -11*m + 31. Let s(u) = 6*u - 16. Calculate 4*h(c) + 7*s(c).
-2*c + 12
Let q(u) be the first derivative of 3*u**2 + 6*u - 2. Let c(s) be the third derivative of -s**4/24 - s**3/6 - 3*s**2. Determine -10*c(g) - 2*q(g).
-2*g - 2
Let z(s) = s**2 - s + 1. Let t(r) = -11*r**2 + 4*r - 3. Calculate t(d) + 3*z(d).
-8*d**2 + d
Let o(t) = -9*t**2 - 8*t + 10*t**2 + 3*t + 2. Let z(q) = q**2 - q. What is -o(j) + 3*z(j)?
2*j**2 + 2*j - 2
Let a(f) = -f + 1. Let z(m) = -14*m + 7*m + 4 + m. What is 2*a(o) - z(o)?
4*o - 2
Let i(o) = o**3 - 2*o**2 + 3*o - 3. Let h(p) be the first derivative of 1/2*p**4 + 2*p**2 + 1 - p**3 - 4*p. Give -2*h(x) + 3*i(x).
-x**3 + x - 1
Let v(a) = -a. Let z(j) = -j**3 - 2*j**2 + j - 4. Let k be z(-4). Suppose 0 = -x + 5, -b - 7*x + k = -2*x. Let r(w) = -4*w. Determine b*r(g) + 3*v(g).
g
Let w(q) = -q**2 + 1. Let u be (4/6)/(4/6). Let n = 3 - 6. Let y(h) = h**2 - 5*h**2 - h + 0 + 3. What is n*w(v) + u*y(v)?
-v**2 - v
Let k(z) = -9*z - 18. Let n(o) = -1. Give -k(u) + 18*n(u).
9*u
Let i(g) = 2*g**2 + 17*g. Let b(n) = 2*n**2 + 16*n. What is -6*b(a) + 5*i(a)?
-2*a**2 - 11*a
Let l(n) = n**2 + n - 1. Let o be 10/(-4)*(-8)/10. Let w(k) = -k. Let c(m) = -2*m - 2*m + 2*m. Let y(i) = o*c(i) - 6*w(i). Give l(t) - y(t).
t**2 - t - 1
Let d(k) = -5*k**3 - 5*k**2 + 11*k. Let g = -3 - -5. Let n(m) = -m**3 - m**2 + 2*m. Let w = -332 - -321. What is g*d(a) + w*n(a)?
a**3 + a**2
Let h(j) = 3*j**2 - 7*j - 4. Let l(z) = -3*z**2 + 8*z + 3. Determine 3*h(d) + 4*l(d).
-3*d**2 + 11*d
Let h = -449 - -444. Let g(l) be the third derivative of -7*l**6/120 - l**4/8 - l**3/2 + l**2. Let u(x) = 3*x**3 + x + 1. Calculate h*u(t) - 2*g(t).
-t**3 + t + 1
Let s(c) = -2*c - 5. Let x(u) = 5*u + 14. Let k(o) = -o**3 + 3*o**2 + 3*o - 4. Let t be k(4). Let l(b) = -2*b + 3. Let v be l(3). Calculate t*s(p) + v*x(p).
p - 2
Let n(p) = p + 5. Let c be (-5)/90*-6 + 16/(-3). Let b(x) = 2*x + 8. Suppose 44 = 3*j - 5*h, 4*j + 3*h - 36 = 4*h. Determine c*b(s) + j*n(s).
-2*s
Let y(m) = -14*m + 6. Suppose -x - 3*j = -5*x - 41, -x = 5*j + 16. Let h(r) = 9*r - r - 2 - 3*r. Determine x*h(g) - 4*y(g).
g - 2
Let c(i) = -6*i - 1. Let m(u) = -6*u - 1. Give -6*c(z) + 5*m(z).
6*z + 1
Let c(o) be the third derivative of -o**6/120 - o**4/24 - o**3/6 - 9*o**2. Let y(d) = -5*d**3 - d**2 - 3*d - 3. Determine 3*c(h) - y(h).
2*h**3 + h**2
Let w(q) = 3 + 6*q - 3*q - 3*q + q. Let v(n) = n + 6. What is -3*v(h) + 5*w(h)?
2*h - 3
Let t(q) = 4*q + 1. Suppose -3*z - 3*p - 10 = 2*p, -4*z + 4*p - 24 = 0. Let a(s) = -7*s - 1. Determine z*t(u) - 3*a(u).
u - 2
Let w(t) = 1. Let o(b) = -b + 3. Let u(l) = -l**2 - 4*l + 1. Let n be u(-3). Suppose -4*a - n*g - 3 = 1, 3*g + 10 = 4*a. Calculate a*o(j) - 3*w(j).
-j
Let i(p) = 4*p - 1. Let g(o) = 7*o - 2. Suppose -24 = -6*d + 14*d. Give d*g(u) + 5*i(u).
-u + 1
Let n(o) = 21*o**2. Let f(s) = s**2. Determine -6*f(j) + n(j).
15*j**2
Suppose -3*s = 2*r - 6*s, -4*s = 3*r - 17. Let z(v) = v**3 - 5*v - 4. Let b(f) = f**3 - 4*f - 4. Calculate r*b(c) - 2*z(c).
c**3 - 2*c - 4
Let s(k) = 46*k**2. Let h(x) = 231*x**2. Give 3*h(f) - 14*s(f).
49*f**2
Let r(g) = -7*g**3 + 2*g**2. Let k(z) = -z**3. Determine -6*k(f) + r(f).
-f**3 + 2*f**2
Let w(z) = 9*z**3 - 4*z**2 - 5. Let a(b) = -8*b**3 + 3*b**2 + 4. What is -5*a(i) - 4*w(i)?
4*i**3 + i**2
Let u(f) = -8*f**3 + f**2 - 6*f + 7. Let n be (13 - 1)*(-4)/(-8). Suppose t = -5 - n. Let m(o) = -15*o**3 + 2*o**2 - 11*o + 13. Determine t*u(a) + 6*m(a).
-2*a**3 + a**2 + 1
Let u(d) = -d + 14. Let s(t) = -t - 20. Let i be s(-25). Let f(x) = x - 9. Give i*u(r) + 8*f(r).
3*r - 2
Let a(x) = -2*x**3 - 5*x + 5. Suppose -4*q + 19 + 1 = 2*v, q - 3 = 0. Let i(w) = -2*w**3 - 4*w + 4. Let u = -7 - -2. Calculate u*i(f) + v*a(f).
2*f**3
Let z(p) = -5*p**2 + 9*p - 88. Let u(c) = -3*c**2 + 5*c - 44. Calculate -7*u(a) + 4*z(a).
a**2 + a - 44
Let d(p) = -p**3 - 2*p. Suppose 6*o + 11 = -1. Let x(k) = -2*k**3 - 3*k. Determine o*x(i) + 3*d(i).
i**3
Let i(k) = 6*k**2 + 5*k - 2. Suppose -5*q - 17 = -s, 4*q = -0*q - 16. Let d(t) = -5*t**2 - 4*t + 2. Determine s*i(r) - 4*d(r).
2*r**2 + r - 2
Let u(k) = 21*k**2 + 9*k. Let m(z) = 5*z**2 + 2*z. Let w(g) = g**3 - 10*g**2 + 2*g - 7. Let s be w(10). Let l = s + -4. Determine l*m(a) - 2*u(a).
3*a**2
Let s(b) = b**2 - 6*b - 7. Let z be s(6). Let m(a) = a**2 + 0*a**2 - 2*a + 0*a**2. Let t(c) = -10*c - c**2 + 7*c + 2*c**2. Determine z*m(p) + 5*t(p).
-2*p**2 - p
Let k(y) = y - 1. Let w(p) = -p - 2*p + 5*p - 3 + 0*p. Let o be (-4)/2 + 2/2. Suppose -5*v - 19 = m, 5*m + 7 = -v - 2*v. Give m*k(q) + o*w(q).
-q + 2
Suppose 18*t - 15*t = 9. Let l(z) = -z | {
"pile_set_name": "DM Mathematics"
} |
What is (-4 - 3)/7*4/(-22)?
2/11
What is ((-8)/(-9))/((-12)/(-54))?
4
What is the value of (-8)/(224/(-70))*(-36)/(-15)?
6
Evaluate (3/(-3))/(-4) - 35/20.
-3/2
(3/(-5))/((-36)/40)
2/3
What is the value of (-118)/15 + 44/(-330)?
-8
3*-1 + (-8 + 4 - -3)
-4
What is (-12)/36*(-24)/(-56)?
-1/7
What is the value of -29 - -27 - 7/(-1)?
5
Calculate ((-9)/15 + 1)/(-1).
-2/5
-1*16/14 + (-370)/(-2590)
-1
What is 2/(-8) + (-1)/4*-2?
1/4
What is the value of (-413)/(-84) - 4 - (-4)/48?
1
(-2)/(-8)*-1 - (-2)/(-8)
-1/2
Evaluate ((-87)/(-203))/((-20)/(-14)).
3/10
2/3 + 7 + (-285)/36
-1/4
(3/7)/(17/(-119))
-3
Calculate 11 + (-9 - -7) + -8.
1
What is (27/(-198))/(-3 + (-21)/(-6))?
-3/11
What is the value of 70/84 + 2/(-6)?
1/2
What is (3 - 88/33) + (-5)/6?
-1/2
What is -8 + (-166)/(-21) - (-4)/6?
4/7
((-3)/2)/(33/6 - 5)
-3
Calculate (-30)/18*(-36)/15.
4
What is the value of 9/10 + 12/20 + -1?
1/2
What is the value of (10/30)/((-8)/6 - 1)?
-1/7
Evaluate (2/4)/(((-2)/(-2))/(-4)).
-2
What is 24/(-42) + (-13)/14?
-3/2
What is the value of ((-84)/273)/(30/(-13))?
2/15
Evaluate 42/216 + ((-224)/(-63) - 4).
-1/4
Evaluate (-96)/(-32) - (8 + -1).
-4
(-28)/49*(-49)/(-70)
-2/5
Calculate (30/21)/(114/(-133)).
-5/3
Evaluate ((-6)/(-165))/((-3)/(2 - 17)).
2/11
Evaluate 4/10 - ((-51)/(-15) + -5).
2
2 - (52/(-44) + 3)
2/11
Evaluate (-504)/24 - (-28)/2.
-7
(-64)/72 + -6*3/(-27)
-2/9
Calculate ((-54)/(-8))/((-24)/32).
-9
What is 2 + 185/65 - 10/(-65)?
5
What is (-1)/((0 - 0) + 3)?
-1/3
Evaluate (-8)/32 + ((-38)/8 - -2).
-3
Evaluate 5 + 8 + -14 + 2.
1
What is ((-72)/(-42))/(18/84) + 2?
10
-8 - -10 - -36*1/(-17)
-2/17
(-124)/120 + 3/15
-5/6
What is (12 - 4)/(-4)*(1 + 0)?
-2
(20/(-6) + 3)*(-3)/(-4)
-1/4
(-5)/(-2)*2/70*2
1/7
What is ((-8)/32)/((-84)/(-288))?
-6/7
(1/(-2))/((-117)/(-52))
-2/9
Calculate (-14)/42*(-6)/(-10).
-1/5
What is 1204/238 + 1/(-17)?
5
Calculate (-8)/3*((-44)/8 + 4).
4
What is 2/(-15)*2/(4/6)?
-2/5
Evaluate 80/30 - ((-4)/(-6) + 0).
2
Calculate (2 - 8)*(-2)/(-3).
-4
Evaluate (16/14)/((-2)/7).
-4
What is (36/210)/(17/(-10) - -2)?
4/7
What is (-6)/16 - (-13 + 630/112)?
7
What is ((-4440)/72)/37 + 2/3?
-1
What is the value of (6/30)/((-3)/(-20)*2)?
2/3
Calculate (((-102)/4)/1)/6 + 4.
-1/4
Evaluate (-104)/(-12) + -9 - 16/(-3).
5
What is the value of -12*(11 - (-64)/(-6))?
-4
Evaluate -2 + 0 - (-9 + -36)/(-9).
-7
Calculate ((-11)/((-66)/12))/(-2).
-1
Calculate (-13)/52*(16/12 - 0).
-1/3
Calculate 34/(-5) + 9/5.
-5
(-4 - 0)*(1 - -1 - 1)
-4
Calculate (391/30)/(-23) + (-2)/(-5).
-1/6
What is the value of (-2)/(-17) + -2 + (-12)/102?
-2
(168/(-126))/(22/3)
-2/11
What is the value of (-36)/63 + 54/168?
-1/4
Evaluate 1/(18/(-4)) + (-6)/(-27).
0
What is the value of 234/(-26) - 1/((-1)/4)?
-5
Evaluate 3*(-10)/(-15) - (-1 + 0).
3
What is the value of 28/49 - (-10)/(-15)?
-2/21
What is the value of 2/12 + -24 + 573/18?
8
Calculate (132/(-176))/((-12)/(-64)).
-4
What is (266/24 + -11)*1*4?
1/3
Calculate (6/10)/((-33)/(-110)).
2
What is (-30 - -32) + 33/(-15)?
-1/5
36/(-45) - 0 - 77/35
-3
What is the value of 104/(-30) - 2/(-3) - -3?
1/5
(168/(-20) - -8)*(-4)/8
1/5
(2/52)/((2 - -4)/24)
2/13
(-6)/((-840)/(-68)) - 3/(-15)
-2/7
Calculate 6 - 114/(-90)*-5.
-1/3
Evaluate (-96)/14 + 19/(-133).
-7
What is 18 - 15 - (2*-6)/(-3)?
-1
What is ((-12)/(-10))/(4/10) + 0?
3
((-376)/120 - -2) + (-2)/10
-4/3
Calculate (-4)/((-28)/(-16) + 2/8).
-2
What is (0 - -1)*(17 + -12)?
5
What is (((-90)/105)/(2/(-7)))/(-3)?
-1
Calculate 1 + 4 + -5 - (-8)/(-52).
-2/13
What is the value of (-1240)/(-4340) - (-1 - (-8)/7)?
1/7
Evaluate -3 - -15*(-10)/(-45).
1/3
What is ((-294)/153 + 2)/(26/39)?
2/17
What is (2/(-4))/((-1)/40*4)?
5
What is 1/(((-28)/6)/(4/6))?
-1/7
((-5)/6)/((-1)/2)
5/3
Evaluate 4*((-2)/16)/((-2)/8).
2
What is ((-1)/2)/((-55)/640) - 6?
-2/11
Evaluate 30/(-9) + (-70)/6 + 11.
-4
What is (-14)/(-12) + 75/90?
2
(-4)/22 + (-2345)/(-737)
3
What is 154/21 - 8/6?
6
((-10)/60)/((-1)/(-2))
-1/3
Evaluate (11 + -1)*(-30)/(-75).
4
Evaluate -1*(4 + (3 - 4)).
-3
What is (9 + -11)/(5 - (-45)/(-10))?
-4
((-4)/(-42))/((-1)/7*3)
-2/9
(0 + -3 + 2)*1
-1
Calculate 516/387 - -2*1/(-3).
2/3
Calculate ((-35)/(-42))/(2/4).
5/3
What is (21/(-6) - -1) + 2?
-1/2
(196/35 - 5)/((-2)/10)
-3
Evaluate 2*(-5)/(-15)*(-1)/4.
-1/6
What is the value of 68/11 - 6 - 0/1?
2/11
Calculate (-4)/3*(-86)/(-1376).
-1/12
What is (102/153)/(4/42)?
7
What is (-17)/85 + (-6)/(-5)?
1
Calculate 2/4*(-4)/(-4).
1/2
Evaluate (-8)/20 + (-69)/15*1.
-5
((-9)/(-6))/((0 - 3)/6)
-3
2 + 92/(-16) + 3
-3/4
Evaluate 7 - (9 + 24/(-36)).
-4/3
What is the value of (1/(-4))/((-3)/(-18))?
-3/2
Calculate ((-124)/(-279))/((-52)/(-18)).
2/13
What is the value of (-90)/(-35) - 26/13?
4/7
Evaluate (-36)/8 - (-6)/(-12).
-5
What is (55/99 + (-1 - -1))/5?
1/9
(-6 + 3)*(-1)/1
3
What is the value of (-40)/110*(-6 - 5)?
4
What is 1*-1 - ((-5)/(-20) + -1)?
-1/4
(406/(-42) + 8)/1
-5/3
What is the value of 4/(-6) - 1955/(-1785)?
3/7
Calculate (-4)/46 + 1288/(-9522).
-2/9
What is (48/(-60))/(0 + 2/(-5))?
2
Evaluate ((-32)/(-28))/(70/(-49)).
-4/5
What is the value of -11 - 3 - (-24 + 15)?
-5
Calculate 11/(-10) - 60/(-100).
-1/2
Calculate 136/(-714)*18/(-8).
3/7
What is (-8)/(-4 + (2 + -4 - -4))?
4
What is (2 + (-3)/2)*(-3 + -7)?
-5
(-8)/(-10) - (-946)/(-645)
-2/3
What is (0/(-6) - -15)/(1 + 2)?
5
What is (-10)/(-9)*7/35?
2/9
What is (3/(-6))/(15/6)?
-1/5
1/(-3)*(52 - 43)
-3
What is ((-27)/(-30))/(34/(-10) - -4)?
3/2
What is (-8)/60 - 22/(-15)?
4/3
What is the value of (17/(119/(-14)))/(0 + 11)?
-2/11
2/8 + (2 - (-27)/(-12))
0
Evaluate 8/676*13 + (-218)/(-104).
9/4
What is the value of (-27)/(-9) - (-8)/(-6)*6?
-5
What is the value of (-3)/(-2)*4/6?
1
What is (37/(925/600))/((-6)/(-2))?
8
What is the value of ((-3)/(-44))/(((-6)/16)/(-1))?
2/11
What is 36 - 36 - 4/(-10)?
2/5
Evaluate 5*6/5 + -11.
-5
Calculate (40/(-16) - -2)*(0 - -2).
-1
What is the value of (-1)/2*(90/(-63) + 2)?
-2/7
What is the value of (-1 - 3/(-5))/(42/35)?
-1/3
(33/(-22))/(-2 - (3 + -6))
-3/2
What is the value of 2/3 - (2 + 60/(-18))?
2
What is the value of (39/(-65))/((-1)/(-5))?
-3
Calculate 26/(390/75)*(-18)/(-10).
9
(-3)/((2/(-10))/(4/(-90)))
-2/3
What is 2 + -1 - (-198)/(-154)?
-2/7
What is the value of (-14)/(-77) + (-63)/(-77)?
1
(1 + -3 - -6) + 76/(-18)
-2/9
What is (1 - 13/12)/(244/(-366))?
1/8
1 - (18/(-45))/((-2)/(-5))
2
Evaluate -4 + (4 - (-6)/21).
2/7
What is (-38)/133*7/2?
-1
(-12)/(-9)*(-16)/32
-2/3
What is the value of 5/1 - (5 + (-20)/(-25))?
-4/5
Calculate (-552)/(-115) - (0 + 6).
-6/5
Evaluate ((-32)/(-9))/2 + (-64)/(-288).
2
What is the value of -2*2 - (-378)/99?
-2/11
Calculate -3*8/30*30/(-12).
2
(-102)/9 - 93/(-279)
-11
What is the value of 0 + -3*(4 + -5) + 0?
3
Calculate 2/19 + 1872/8208.
1/3
Calculate 4/4 - (-2 + 1).
2
What is the value of (-1)/(-6)*1*3?
1/2
What is 2/(-20)*9*(-50)/(-30)?
-3/2
What is 5/12 + -2 + 101/404?
-4/3
What is the value of (3/4)/(-1 - 14/(-32))?
-4/3
(-2*1/8)/((-18)/96)
4/3
What is 408/(-56) + (9 - 2)?
-2/7
What is (6/9)/(30/9 - 5)?
-2/5
What is the value of ((-27)/(-135) - (-27)/(-35))/2?
-2/7
What is (-9)/285*10/(-3)?
2/19
What is (-3)/(-2)*(0 + (-2)/3)?
-1
What is the value of 5/(175/(-10))*2/(-1)?
4/7
Evaluate (-8 - -6)/((-6)/(-2)).
-2/3
What is ((-5)/25)/(3*(-3)/135)?
3
What is the value of (-28)/(-6) - -1 - 7?
-4/3
Calculate (-12)/(-6) - (-18)/(-10).
1/5
What is 180/(-40)*4/3?
-6
What is the value of (-30)/372*(368/(-40) + 10)?
-2/31
Calculate (-5)/((-45)/6)*(-3)/(-15).
2/15
15/60*4/(-5)
-1/5
What is 2/(-4)*-4 - -1?
3
What is ((-10)/(-4) - 1)*28/(-105)?
-2/5
Evaluate (-2)/(-6) + 56/(-312).
2/13
Evaluate (-4)/3*9/24.
-1/2
What is the value of (-6 - -2) + (-1 - (-7 - 1))?
3
Calculate (0 - 24/(-15))*(-365)/(-438).
4/3
What is (-2)/(5 + -3 - (-3 - -2))?
-2/3
Evaluate (-1 - 3/15)/(18/60).
-4
Calculate (42/12 + 1)/(21/28).
6
Calculate (2/4)/(42/(-36)).
-3/7
What is (-15)/(-6)*10/(-5)?
-5
What is the value of (-3)/((-63)/(-2))*1?
-2/21
What is -18*3/9*4/(-6)?
4
What is (-3 - 135/18) + 9?
-3/2
What is ((-89)/1780)/(2/(-8))?
1/5
(-16)/(-12) + 2/(-6)
1
What is the value of (-1)/(-9) + 57/(-27)?
-2
What is ((-9)/90)/((-2)/36) - 2?
-1/5
What is the value of (-66)/12*(-32)/44?
4
What is the value of 2/(-3)*(-8 - 1308/(-168))?
1/7
Evaluate ((-184)/(-16) + -12)/ | {
"pile_set_name": "DM Mathematics"
} |
Product of 0.5 and -1896.
-948
2.74 times 1.3
3.562
-1*-6.95
6.95
-0.03744*-3
0.11232
0.003 * 3
0.009
What is 0.4 times -0.0272?
-0.01088
0.0288 times 1
0.0288
0.07*77.6
5.432
Multiply -0.4 and 360.
-144
What is the product of 11 and 0.086?
0.946
Multiply -1.6 and 0.165.
-0.264
Product of -42.5 and 0.04.
-1.7
What is the product of 0.3 and -4.73?
-1.419
86 * -0.5
-43
Product of -1.2 and -2.13.
2.556
Calculate 545*-0.2.
-109
2391*-1
-2391
What is the product of 21.3 and 0.2?
4.26
Calculate 5*0.135.
0.675
-3429*-0.4
1371.6
Calculate 0.3*5048.
1514.4
-0.4 times 18
-7.2
Calculate -713*0.03.
-21.39
Calculate -2*-427.
854
What is the product of -0.676 and 1?
-0.676
-144.4 * -0.4
57.76
What is the product of 3 and 155?
465
Work out 10 * -0.6.
-6
What is the product of 118 and 0?
0
-0.01*-2.62
0.0262
-5 * 4
-20
-20392 * -1
20392
Calculate 4*0.0483.
0.1932
-3929 * 0.2
-785.8
Work out 0.2 * -0.52.
-0.104
What is the product of -1.44 and 3?
-4.32
Calculate 7.9*0.5.
3.95
5963 times -0.4
-2385.2
What is the product of 681 and -4?
-2724
-1 * -388
388
-0.4 * 0.016
-0.0064
What is -0.3 times -3.8?
1.14
Work out -0.3 * -328.
98.4
What is -3 times 0.0354?
-0.1062
Calculate -0.36*-9.
3.24
Product of 1701 and -0.04.
-68.04
What is 2 times 2.23?
4.46
What is the product of 11037 and 4?
44148
Calculate -2*-0.111.
0.222
Multiply 50 and -0.06.
-3
What is 28 times -94?
-2632
Product of 150 and 2.
300
-0.021 times -30
0.63
What is the product of -141 and -0.3?
42.3
Calculate 10230*3.
30690
What is the product of 3.14 and -11?
-34.54
Calculate 3*254.
762
Work out -0.5 * -6133.
3066.5
Calculate -1338*0.1.
-133.8
5*-197
-985
-5*3.9
-19.5
Product of -7.27 and -0.4.
2.908
Multiply -0.63 and 0.06.
-0.0378
Multiply 3 and 151.
453
What is 151 times -0.2?
-30.2
Product of -1 and 465.
-465
What is the product of -0.186 and 3?
-0.558
Multiply 1 and -112.
-112
Calculate -1.54*-0.15.
0.231
What is the product of 25.46 and -5?
-127.3
Multiply -2 and -9.6.
19.2
Product of -877 and -49.
42973
What is -680 times -0.1?
68
What is 2 times 0.3?
0.6
8*494
3952
-4.35 * -0.2
0.87
-0.065 times 11.2
-0.728
4 * 9.1
36.4
Multiply 251 and 3.
753
Multiply 486 and 1.2.
583.2
Work out 2 * -32.
-64
Work out 0.2165 * -0.5.
-0.10825
Product of 433 and 0.2.
86.6
Calculate -8*-0.435.
3.48
What is 106 times 2?
212
Multiply -41 and -41.
1681
Calculate 5*11.
55
954 * -0.5
-477
What is 0.057 times -1.1?
-0.0627
What is 4 times -52?
-208
-0.062 times 3
-0.186
-22*-0.048
1.056
-3 times -286
858
-1880*-0.1
188
What is -0.41 times 0.5?
-0.205
-3*86.3
-258.9
What is the product of 3 and -0.329?
-0.987
42 times -108
-4536
What is -21 times 0.35?
-7.35
Multiply 9 and 27.
243
Product of 136 and 5.
680
8 times 72
576
Multiply 282 and -4.
-1128
What is -0.07 times 0.043?
-0.00301
-3 * 0.73
-2.19
Product of -3 and -3568.
10704
Multiply 3 and -0.008.
-0.024
What is the product of 2 and 0.06?
0.12
0.00145 times -0.05
-0.0000725
What is the product of 12403 and -0.1?
-1240.3
Product of -90 and 4.
-360
Work out -251 * -18.
4518
Multiply 203 and -0.1.
-20.3
Product of -6.268 and 0.2.
-1.2536
What is -219 times -0.02?
4.38
What is -3.74 times -0.3?
1.122
Calculate 0.2*-1051.
-210.2
1*-399.6
-399.6
862 times 2.8
2413.6
-2*0.25
-0.5
Multiply -0.2 and -1.577.
0.3154
What is the product of -0.15371 and -0.4?
0.061484
Product of 36 and -10.
-360
Calculate -2.8*171.
-478.8
Work out 603 * -0.2.
-120.6
0.48 * -0.017
-0.00816
What is the product of 0.3 and -0.031?
-0.0093
48*3
144
Multiply -0.1 and 5.895.
-0.5895
-0.2*-6
1.2
Calculate -93*0.079.
-7.347
Multiply 0.57 and -0.07.
-0.0399
What is -3 times -655?
1965
-2*0.019
-0.038
-0.3 * 95
-28.5
3.87 times 0.1
0.387
What is the product of 24 and 0.362?
8.688
Calculate -0.4*40.
-16
Calculate -12253*0.5.
-6126.5
Calculate 12.09*-5.
-60.45
-1 * -0.034
0.034
-4*80
-320
Product of 6.6716 and -3.
-20.0148
Multiply -17.2 and 0.5.
-8.6
Multiply 0.2 and 0.0303.
0.00606
-0.065 * 33
-2.145
What is 0.96 times -0.8?
-0.768
Calculate 0.8*20.
16
7*-0.08
-0.56
Product of -1 and 408.
-408
Work out 5 * -26.
-130
Product of -0.36 and 0.51.
-0.1836
Multiply 0.05 and -106.
-5.3
-7479 * 0.3
-2243.7
-0.07 times -0.037
0.00259
What is 0.1 times -33.1?
-3.31
3*3437
10311
Work out -3 * -1.262.
3.786
Work out -236.4 * -0.3.
70.92
-377 times 0.07
-26.39
0.3 * 2
0.6
Multiply -10 and -3.06.
30.6
0.4188 times 8
3.3504
-0.5 times -13.7
6.85
Calculate 0.3*-0.1616.
-0.04848
What is 103 times -0.3?
-30.9
Product of 0.009 and 0.8.
0.0072
Product of -2.4 and -170.
408
14841*-0.5
-7420.5
What is 2.3 times 30?
69
1.6*-0.15
-0.24
What is the product of 14 and -32?
-448
Work out -0.008 * -300.
2.4
0.3 times -144
-43.2
Multiply -6.562 and -5.
32.81
Product of -0.0426 and 0.5.
-0.0213
-0.2*0.144
-0.0288
-65 * 1.41
-91.65
0.23*-0.0229
-0.005267
Calculate -0.16*0.079.
-0.01264
Product of -32 and -23.
736
-1222*2
-2444
Product of -0.05 and 1.3.
-0.065
Product of 709 and -4.
-2836
Work out -1461.9 * -4.
5847.6
Work out -0.2 * 1128.
-225.6
4 times -54
-216
-2527 times 1
-2527
-1*74
-74
Calculate -2180*-0.4.
872
Multiply 0.00864 and 2.
0.01728
What is the product of 0.1 and 37?
3.7
What is the product of 0.31 and -3?
-0.93
What is the product of -43.5 and -0.1?
4.35
Calculate -0.04*-2.
0.08
What is -224 times -0.2?
44.8
Multiply -0.04 and -0.14.
0.0056
Multiply -5 and 0.16.
-0.8
Work out 0.45 * -8.
-3.6
Product of 350 and 3.
1050
Product of -9 and 0.13.
-1.17
What is -0.164 times -0.5?
0.082
-0.2*0.042
-0.0084
What is the product of -0.1206 and -0.2?
0.02412
Product of -2 and -0.053.
0.106
2 * -11
-22
113*-3.4
-384.2
-0.1 times -97
9.7
0.030909 times 3
0.092727
Multiply -3 and -0.86.
2.58
Product of -94 and 1.3.
-122.2
Calculate -208*-0.3.
62.4
5*-0.0689
-0.3445
Calculate 4*-191.
-764
Multiply -1910.7 and -1.
1910.7
Work out 0.108 * -4.
-0.432
2156 * -0.1
-215.6
Multiply 0.3 and -6.
-1.8
Multiply -0.4 and -58.
23.2
Multiply 1 and 1.6.
1.6
Work out -3.17 * 5.
-15.85
What is the product of -2.3 and -10?
23
Calculate 3847*0.4.
1538.8
109 times -0.3
-32.7
What is the product of 6 and -0.1?
-0.6
Product of 0.136 and -5.
-0.68
Multiply 374 and -0.3.
-112.2
What is 6.27 times 0.04?
0.2508
What is the product of 9 and 6.81?
61.29
-0.022 * 3.9
-0.0858
-135 * -0.04
5.4
What is the product of -12 and 4.83?
-57.96
Product of 0 and 572.
0
18 * -5
-90
-36*-18
648
-0.31 times -0.11
0.0341
-0.0202 times 17
-0.3434
What is the product of 0.0476 and -0.5?
-0.0238
Calculate -6.4*-0.06.
0.384
Work out 0.15 * 0.1031.
0.015465
Product of 0.04 and -19.3.
-0.772
Product of 742 and -0.2.
-148.4
-0.42 * 81
-34.02
Work out -2 * -2452.
4904
-521 times 0.4
-208.4
Calculate -0.48*-30.
14.4
42 * -0.4
-16.8
Work out -88 * -4.
352
Multiply -1 and -2492.
2492
-0.1 * 1669
-166.9
What is 3044 times -0.5?
-1522
Product of -2 and -4.
8
Work out -0.12 * -0.2666.
0.031992
Multiply -1458 and 0.5.
-729
Work out -0.168 * 0.1.
-0.0168
What is 0.5 times 0.41?
0.205
6212 * 4
24848
What is 5.815 times -0.4?
-2.326
What is the product of 2.4 and -0.8?
-1.92
0.14 * 0.31
0.0434
Product of -76 and -22.4.
1702.4
-0.096 * -5
0.48
What is 0.1 times 1870?
187
-0.13 times 24
-3.12
Work out 3 * -0.051.
-0.153
0*116
0
170 times 6
1020
What is -0.4 times 27?
-10.8
-50.89 * -0.3
15.267
0.29 * 4.4
1.276
2963*-0.3
-888.9
5.6 * -0.5
-2.8
Product of 12 and -14.
-168
-0.2 times 0.204
-0.0408
43 * -0.1
-4.3
1.3 * -26
-33.8
0.57*1.6
0.912
Work out 17 * -6.
-102
Product of -0.4 and -1279.
511.6
What is 0.1 times 3027?
302.7
What is the product of 135 and 0.8?
108
Work out 0.031 * -4.
-0.124
Multiply -7 and -0.0547.
0.3829
-5202 times -0.3
1560.6
Calculate -345*-0.04.
13.8
Multiply 0 and 24.27.
0
-0.3 * -0.053
0.0159
-7777 * 0.5
-3888.5
Calculate 104*-6.
-624
What is the product of -396 and 21?
-8316
Calculate -203*0.3.
-60.9
-0.1 times 1791
-179.1
What is 2.1 times -17?
-35.7
What is -198 times -4?
792
-3 * 6.2
-18.6
0.06*3939
236.34
Work out -36.2 * 4.
-144.8
Calculate 0.11*13.
1.43
Multiply 3 and 0.071.
0.213
Calculate 1.86*0.3.
0.558
Work out -0.4 * -0.1896.
0.07584
Work out -0.39 * -0.12.
0.0468
-0.12 * -0.4
0.048
What is the product of -0.14 and -2.1?
0.294
Work out -77 * 5.
-385
What is the product of 0.1828 and 3?
0.5484
What is the product of -0.3 and -9.99?
2.997
Calculate -4.9*0.01.
-0 | {
"pile_set_name": "DM Mathematics"
} |
Express 15*v**2 + 7 - 21 - 5*v**2 as l*v**2 + z*v + t and give z.
0
Express (-2*t**2 + 3*t - 3*t)*(2 - 2 + 9) + (2*t + 3*t - 4*t)*(-28 - t + 28) in the form x*t + z*t**2 + j and give x.
0
Express -11*z + 12*z**3 + 2 + 2*z + 5*z - z + 6*z in the form m + o*z**2 + x*z + g*z**3 and give g.
12
Express ((0 - 1 + 2)*(-1 + 2 + 1) + 36 + 257 + 71)*(-3*p + 7*p - 2*p) as k + m*p and give m.
732
Rearrange (106 + 133 + 132)*(-w**3 - w**4 + w**3) to r*w**2 + f*w**3 + m*w + y*w**4 + z and give y.
-371
Express (-88*m - 8 + 1 + 90*m)*(0 + 1 + 0) + 93*m - 81*m - 86*m in the form q*m + o and give q.
-72
Express (0*n**3 + 3*n**3 - 4*n**3)*(-3153 - 349 + 1315) as f*n**3 + p*n**2 + g*n + d and give f.
2187
Express 52*g**2 - 1181 - g - 20*g**2 + 1181 as l*g**2 + y + b*g and give b.
-1
Rearrange (-1 + 2 + 1 - q**2)*(2*q + 7*q - 3*q - 1)*(74*q + 35*q - 30*q) to the form a*q**4 + f + b*q + d*q**3 + y*q**2 and give a.
-474
Rearrange 72*g - 41*g + 44*g + 16*g - 5 to the form l*g + u and give l.
91
Rearrange 28 - 49 - 88 - 7 + d to m*d + g and give g.
-116
Express (15 - 5 - 9 + 38)*(3 - 4 + 3*h + 7) in the form g*h + t and give t.
234
Rearrange x**4 - 83*x**2 - 2*x**4 + 16*x - 4*x**3 + 166*x**2 - 84*x**2 to the form l + j*x + f*x**2 + r*x**4 + g*x**3 and give j.
16
Express (65 - 49 - 36)*(2 - 2 + 3*v**3) + 0*v**3 + 0*v**3 - 2*v**3 as f*v**2 + j*v**3 + o + s*v and give j.
-62
Express -s**3 - 4*s + 0*s**3 + 2*s + (-5*s - 4*s + 5*s)*(-109*s**2 - 6759 + 6759) as b*s + k + m*s**2 + n*s**3 and give b.
-2
Express 36*i + 57*i - 77*i + 104*i - i**2 in the form y*i + x*i**2 + r and give y.
120
Rearrange (3*k - 3 + 3 + (k - 4 + 4)*(3 - 6 + 2) + k + 20*k + 3*k)*(-2 + 1 + 2) + 33 + 4*k - 33 to b + c*k and give c.
30
Express 15*w**3 + 2*w - 1 - 6*w + 3*w**2 - 46*w**3 + 28*w**3 - 2*w in the form g*w + r*w**2 + x + p*w**3 and give r.
3
Express 237*x + 32*x**2 - 237*x - 302*x**2 as p*x + v + l*x**2 and give l.
-270
Rearrange -10*b**3 + 22 - 75 + 53 + (4*b - b**2 - 4*b)*(-1 + 2*b + 1) to the form r*b**2 + w*b + k*b**3 + i and give k.
-12
Express 4*j**4 - 6*j**4 - j + 4*j**4 + 3*j**2 + 17*j**2 as v + k*j**2 + c*j + d*j**4 + i*j**3 and give d.
2
Rearrange 209*s + 562*s - 227*s to v*s + d and give v.
544
Express -8*p**4 + 218*p**2 - p**3 + 3*p**4 - 9*p - 218*p**2 + 36*p**4 + 2 in the form z*p**3 + q*p**2 + u + y*p**4 + w*p and give u.
2
Rearrange 2*j + 10*j + j - 2*j**2 - 3*j to h*j + i + v*j**2 and give h.
10
Express -8*m - 1 + 1 - 2 as k + t*m and give t.
-8
Express (106 + 103 - 50)*(2 + o - 2)*(-2*o**2 + 0*o - 2*o - 2*o) in the form v*o + i + q*o**3 + h*o**2 and give h.
-636
Rearrange 95 - 85927*y**3 + 0*y + 4*y**2 + 85928*y**3 + 0*y to b*y + i + l*y**3 + k*y**2 and give l.
1
Express 2 - 1142*o**3 - 1107*o**3 + 2280*o**3 as z*o**3 + x + i*o**2 + w*o and give i.
0
Rearrange -272*a**3 - 197*a**3 + 48*a**3 + (0 - 2 + 3)*(-2*a**2 + 2*a**2 - a**3) to the form v*a + x*a**2 + m + s*a**3 and give m.
0
Rearrange (-36 - 18 + 8)*(-2*l**2 - 4 + 4) + (0 - 2 - 6)*(0*l**2 + 0*l**2 - 2*l**2) to the form j*l**2 + p*l + g and give j.
108
Rearrange (4 + 28 - 4)*((2*s + 3*s - 6*s)*(-4 + 2 + 1) - 3*s + 2*s - s + s - s + 2*s)*(-9 + 8 - 64) to the form k + y*s and give k.
0
Express ((4 + 0 - 2)*(0 + 4 - 2) - 3 + 1 + 1)*(-7*q - 5 + 5)*(2 + 1 - 2)*(6 - 3 + 4) in the form x*q + g and give x.
-147
Express -s**2 + 7226*s**4 - 5*s**3 + 7*s**2 + 1 - 7230*s**4 + 1 as w + x*s**2 + n*s + z*s**4 + r*s**3 and give r.
-5
Express -2680*w + 2681*w + 113 + 5 in the form p*w + r and give p.
1
Rearrange 52 + 121 + 11*i**4 - 17*i**2 - 171 to the form k*i**2 + y*i**4 + a + l*i + n*i**3 and give y.
11
Express (-26*k**2 - 18*k**2 + 42*k**2)*(-8*k + 9*k**2 - 17*k**2 + 7*k) in the form h + d*k**3 + m*k**2 + u*k + w*k**4 and give d.
2
Rearrange (-g - 4*g + 6*g)*(3*g - 2*g + g) + (1 + 2 - 2)*(2*g**2 + g**2 - g**2) + 12 + 6*g**2 - 12 to i*g + u + v*g**2 and give v.
10
Rearrange (13 + 8*j - 13 - 3 + j + 3 + (1 - 2 + 3)*(-3*j + 4*j - 2*j) - 3*j + 2*j - 2*j)*(1 - 22 - 25) to the form m + d*j and give d.
-184
Rearrange 8*b**3 - 1 + 27*b - 11*b - 19*b to the form i + l*b + v*b**2 + x*b**3 and give v.
0
Rearrange (0 + 0 + m + 2*m - m + m + (-3 - 4 + 6)*(1 - m - 1))*(-94*m**3 - 85*m**3 + 10*m**3) to the form x*m**3 + k*m**2 + t*m + l + z*m**4 and give z.
-676
Express -3*i - 2*i**3 + 5*i**2 + 1 + 3*i**3 - 4 + 8*i**2 - i**2 as v + y*i + q*i**2 + u*i**3 and give u.
1
Express ((0*i - 3*i + i)*(-5 - 1 + 4) + 5*i - 5*i - i - 2*i - 4*i + 4*i)*(-415 - 396 + 827) as g*i + b and give g.
16
Express -7*z**4 + 1061*z + 3*z**3 - 22 - 1061*z - z**2 + 2 as f*z**4 + u*z + t + r*z**3 + x*z**2 and give t.
-20
Rearrange (3 - 3 - 2 + (0 + 2 - 1)*(4 - 1 - 1) + 4 - 5 - 2 + (5 - 1 - 3)*(0 - 3 + 5))*(-1 - 7*d - 6*d + 10*d) to the form z*d + u and give z.
3
Express (-2 + 2 - i**2)*(46 - 27 + 3 + 206) in the form x*i**2 + d*i + p and give d.
0
Express (0 + 4 - 1)*(3*f + 0*f - 2*f)*(-72*f - 300*f - 132*f - 182*f) as i*f + m*f**2 + p and give m.
-2058
Express 1 - 3*n - 437*n**2 + 439*n**2 + 2*n - 2*n**3 in the form p*n + x*n**2 + l*n**3 + z and give x.
2
Rearrange -2 + 2 - x**2 + (0*x - 2*x + 6*x)*(30 - 30 + 8*x) + 0*x**2 + 3*x**2 - 4*x**2 to m*x + d*x**2 + l and give d.
30
Rearrange (-l + 5*l + l)*(-9 + 4 - 5*l + 1) to the form h*l**2 + c*l + z and give h.
-25
Rearrange -37 - 28 + 65 - 1172*i - 246*i to m*i + t and give m.
-1418
Rearrange 7*k**2 + 10*k + k**4 - 10*k + 2*k**3 - 8*k**2 to m*k**3 + g + l*k + o*k**2 + p*k**4 and give p.
1
Express (-v - v + 3*v)*(69 + 14*v - 69)*(1 + 0 + 3)*(5 + 0 - 3) in the form i + b*v + d*v**2 and give d.
112
Rearrange 4 - 15 - h + 6 + 6 to b*h + d and give b.
-1
Express (-6*t**4 + 3*t**4 - 5*t**4)*(0 + 1 + 8) + 2*t**4 - 3*t**4 - 2*t**4 as k*t + c + d*t**4 + u*t**3 + x*t**2 and give x.
0
Rearrange 0*s**3 - s**4 + 0*s**4 - 10*s - s**4 - 2*s**3 - s**2 to the form z*s + w*s**2 + j + h*s**4 + i*s**3 and give h.
-2
Rearrange 6 - 6 - s + (0 - 3 + 1)*(s - 2*s + 3*s) + (s + 2*s + 0*s)*(-3 + 3 - 3) to the form f*s + n and give f.
-14
Express (-2 - 2 + 0)*(231*k**2 - 17 - 232*k**2 + 66)*(-2*k - 3*k + 4*k) in the form q*k**3 + y + j*k + g*k**2 and give j.
196
Rearrange 2*d**2 + 3*d - 3*d + (d**2 - 5*d**2 + 2*d**2)*(1 - 9 + 1 + (4 - 10 - 5)*(-3 - 4 + 6)) to the form c*d + z*d**2 + i and give z.
-6
Express 2 + 156 + 15*b - 7 - 13*b + 95 - b**2 as w*b**2 + q + r*b and give w.
-1
Express (24*y - 14*y**2 - 24*y + (2 - 2 + y)*(0 + 0 + 2*y))*(-476 + 476 + 56*y**2) as x + v*y**2 + s*y + f*y**4 + w*y**3 and give f.
-672
Express (3*c - 4 + 4)*(-3 - 3 + 2)*(724 - 83 - 50 - 36) as i*c + r and give i.
-6660
Express -11 + 11*k + 17*k**3 - 4*k - k - 7*k in the form n*k**2 + l + f*k**3 + v*k and give v.
-1
Express 87*p**2 + 123*p**2 - 438*p**2 - 402*p**2 - 126*p**2 as v*p + n*p**2 + u and give n.
-756
Rearrange 37 + 0*s - 3*s + 41 - 155 + 48 to the form i + n*s and give i.
-29
Rearrange 31 - 8*w**4 + 8*w**4 - w**3 + 38 + w**4 to the form i*w**3 + l + z*w + t*w**4 + d*w**2 and give t.
1
Express -2 + 2 - 2699*x + 2860*x in the form p*x + s and give p.
161
Rearrange -13 + 10 + 3 - 81*f**2 to the form u + r*f**2 + v*f and give r.
-81
Rearrange 2527*l**2 + 2339*l**2 - 4298*l**2 to the form k + z*l**2 + b*l and give k.
0
Express 52*d + 542 - 542 in the form j + f*d and give f.
52
Express -3435*s**2 - s + s + 3456*s**2 in the form b*s**2 + m + v*s and give b.
21
Express (0*o + 0*o - 2*o)*((-1 - 4 + 4)*(-3*o + 4*o - 3*o) + (-o - o + 3*o)*(261 + 84 - 34))*(-3 + 3 - 1)*(-2 + 3 + 1) in the form v*o**2 + h*o + t and give v.
1252
Express (-4 + 2 - 3)*(0 + 1 - 3)*(-61953*t**2 - 36*t**3 + 61953*t**2) as p*t + i*t**3 + m*t**2 + u and give i.
-360
Rearrange 8*c - 2 + 9*c**3 + 4 + 3*c**3 - 17*c**3 to k*c**2 + t*c + m*c**3 + q and give m.
-5
Rearrange -72*w**2 - 86*w**2 - 66*w**2 + 28*w**2 to f*w + g + p*w**2 and give p.
-196
Express -21 - v**2 + 0*v - 35 + 0*v in the form k*v + c + t*v**2 and give c.
-56
Express 5 - 244*f + 4 - 13 + 3 in the form u*f + g and give g.
-1
Express (-25*r**2 - 15*r**2 + 68*r**2)*(1 - 3 - 2) in the form s*r + p*r**2 + x and give p.
-112
Express (1 - 16 + 4)*(b - b + 4*b**3) - 4*b**3 + 3*b - 3*b in the form w*b**3 + y*b**2 + l*b + x and give w.
-48
Express (17 + 16 - 1)*(4*n + 8*n - 2*n) - 2*n - 4 + 4 in the form s*n + k and give s.
318
Express -37*f + | {
"pile_set_name": "DM Mathematics"
} |
)*(b + 9366)
Factor -4*d**2 + 1788*d + 3444472.
-4*(d - 1178)*(d + 731)
Suppose -n**3/2 + 12621*n**2/2 + 582729*n/2 - 595349/2 = 0. What is n?
-47, 1, 12667
Determine b, given that -b**2 - 9187081*b = 0.
-9187081, 0
What is d in d**3 + 3995668*d**2/5 - 1598271*d/5 - 2397402/5 = 0?
-799134, -3/5, 1
Factor 15*n**2 + 26141615*n - 17427750.
5*(n + 1742775)*(3*n - 2)
Determine w, given that -2*w**3 - 10524*w**2 - 791160*w - 14977168 = 0.
-5186, -38
Determine i so that 3*i**4 - 4482*i**3 + 646044*i**2 - 1318590*i - 2160359775 = 0.
-49, 105, 1333
Find h such that -4*h**4/7 - 16804*h**3/7 + 67556*h**2 - 3196476*h/7 + 2740392/7 = 0.
-4229, 1, 9, 18
Determine d so that -5*d**2 + 33992510*d - 57774536805005 = 0.
3399251
Determine t, given that -3*t**4 + 18765*t**3 - 29446704*t**2 + 321647172*t = 0.
0, 11, 3122
Solve 3*q**4 + 583056*q**3 + 37658909592*q**2 + 800923161252864*q - 479008542668888592 = 0 for q.
-64978, 582
Solve -t**4/6 - 7*t**3/3 + 1063*t**2/2 + 6473*t/3 - 8060/3 = 0 for t.
-62, -5, 1, 52
What is b in -3*b**3/5 + 12702*b**2 - 37925817*b/5 + 7572462 = 0?
1, 614, 20555
What is n in -2*n**2/11 + 35883148*n/11 - 160950038798738/11 = 0?
8970787
Find r such that -9*r**5 - 55140*r**4 + 1068687*r**3 - 4406106*r**2 + 3540852*r + 4646376 = 0.
-6146, -2/3, 3, 14
Determine k, given that 14*k**5/9 - 80*k**4/9 - 838*k**3/9 + 1960*k**2/9 + 9824*k/9 - 10880/9 = 0.
-5, -4, 1, 4, 68/7
Solve -3*n**2 + 4813227*n + 173280060 = 0 for n.
-36, 1604445
Factor -3*h**3/4 + 3918771*h**2/2 + 15675093*h/4 + 1959387.
-3*(h - 2612516)*(h + 1)**2/4
Factor -n**3 + 79332*n**2 + 7943101*n + 7863768.
-(n - 79432)*(n + 1)*(n + 99)
Factor -3*z**2 - 243135*z/2 - 2309241/2.
-3*(z + 40513)*(2*z + 19)/2
Factor 57092*p**3 - 970560*p**2 - 68*p.
4*p*(p - 17)*(14273*p + 1)
Factor 2*n**2/5 + 2054922*n/5.
2*n*(n + 1027461)/5
Factor 5*l**3 - 323340*l**2 - 2586965*l - 4850700.
5*(l - 64676)*(l + 3)*(l + 5)
What is j in 6*j**3/11 + 2766*j**2/11 - 3803616*j - 49648781736/11 = 0?
-1686, 2911
What is s in -2*s**3/9 + 29336*s**2/3 + 29350*s/3 - 1760200/9 = 0?
-5, 4, 44005
Factor -3*w**3 - 19767*w**2 + 19788*w + 118620.
-3*(w - 3)*(w + 2)*(w + 6590)
Solve 2*j**4/3 + 1234168*j**3/3 + 63505747192*j**2 + 37305828030016*j/3 + 1827404963420288/3 = 0 for j.
-308444, -98
Suppose 5*x**4 - 2087475*x**3 + 217889074380*x**2 - 2396502191980*x - 2614393353840 = 0. Calculate x.
-1, 12, 208742
Suppose -n**3 - 18802*n**2 - 1348956*n - 7417080 = 0. What is n?
-18730, -66, -6
Solve -m**4 + 600*m**3 - 50573*m**2 + 686214*m + 2530080 = 0.
-3, 21, 80, 502
Factor 6338*o**2/7 - 28426*o/7 + 4500.
2*(o - 2)*(3169*o - 7875)/7
Factor x**2 - 8366811*x + 25100424.
(x - 8366808)*(x - 3)
Factor 2*n**4 - 158146*n**3 + 3128087550*n**2 - 71862378750*n.
2*n*(n - 39525)**2*(n - 23)
Solve -b**3 + 4266*b**2 + 81565*b - 642750 = 0 for b.
-25, 6, 4285
Determine r, given that r**3 - 22*r**2 - 76859*r + 230748 = 0.
-268, 3, 287
What is z in 2*z**5/5 - 8464*z**4/5 + 8878428*z**3/5 + 161806144*z**2/5 + 160633850*z + 130050000 = 0?
-9, -8, -1, 2125
Factor -3*b**2 - 75435*b + 18046602.
-3*(b - 237)*(b + 25382)
Suppose 12604*g**2/7 + 433940*g + 3856/7 = 0. Calculate g.
-241, -4/3151
What is l in l**5/4 + 9787*l**4/2 + 47814333*l**3/2 - 383371434*l**2 + 7768835685*l/4 - 6044347575/2 = 0?
-9795, 3, 6, 7
Let 3*z**4/4 + 1989*z**3/2 + 257178*z**2 - 49271040*z + 874473600 = 0. Calculate z.
-728, 20, 110
What is g in -4*g**4 - 104940*g**3 - 667635696*g**2 + 272658118480*g - 1079943585600 = 0?
-13310, 4, 381
Determine w, given that -2*w**3/5 + 40*w**2 + 9974*w/5 - 159068/5 = 0.
-46, 13, 133
Factor -p**3 - 1123*p**2 - 257975*p + 33528859.
-(p - 91)*(p + 607)**2
Determine k so that -122*k**2 + 982591*k/2 - 12081/2 = 0.
3/244, 4027
Solve -4*p**5 + 24148*p**4 + 96724*p**3 - 410692*p**2 - 580080*p + 869904 = 0 for p.
-6, -2, 1, 3, 6041
Factor -x**3 + 9960*x**2 - 168971*x - 596580.
-(x - 9943)*(x - 20)*(x + 3)
Factor 25*b**2 - 70744755*b + 14148950.
5*(b - 2829790)*(5*b - 1)
Determine f, given that -2*f**4/5 + 185456*f**3/5 - 370802*f**2/5 - 9457836*f/5 - 20028816/5 = 0.
-4, -3, 9, 92726
Find m such that 2*m**5/5 + 302*m**4/5 + 8898*m**3/5 + 52594*m**2/5 - 1780*m - 52896/5 = 0.
-114, -29, -8, -1, 1
Let 4*f**3 - 18436*f**2 - 24063480*f = 0. Calculate f.
-1061, 0, 5670
Let -q**3 + 101*q**2 + 62356*q + 431200 = 0. What is q?
-200, -7, 308
Solve 2*m**3 + 1046*m**2 + 40904*m - 180480 = 0 for m.
-480, -47, 4
What is m in 2*m**3/3 - 13360*m**2/3 + 345698*m/3 + 687580 = 0?
-5, 31, 6654
Let g**2/3 + 90656222*g/3 + 2054637646828321/3 = 0. What is g?
-45328111
Determine s, given that s**5 - 50488*s**4 + 1413124*s**3 - 12312912*s**2 + 33909696*s - 29064960 = 0.
2, 12, 50460
What is u in u**4/9 + 44*u**3/9 - 75388*u**2 = 0?
-846, 0, 802
Find x such that x**2/4 + 93073*x/2 + 2419729/4 = 0.
-186133, -13
Factor k**4/6 + 5120*k**3/3 + 243456*k**2 + 11649024*k + 186089472.
(k + 48)**3*(k + 10096)/6
Factor 3*m**3 - 53703*m**2 - 1937547*m + 6295887.
3*(m - 17937)*(m - 3)*(m + 39)
Determine k, given that -5*k**3 + 4910*k**2 + 500825*k - 1021250 = 0.
-95, 2, 1075
Factor 3*n**3 - 32847*n**2 - 10505580*n.
3*n*(n - 11260)*(n + 311)
Factor -2*q**3 - 84220*q**2 + 1853566*q - 10195944.
-2*(q - 11)**2*(q + 42132)
Factor -2*s**2 - 4595718*s - 64339660.
-2*(s + 14)*(s + 2297845)
Factor 52535*y**5 + 210130*y**4 - 40*y**3.
5*y**3*(y + 4)*(10507*y - 2)
Solve -5*q**4 + 50228720*q**3 + 50228725*q**2 = 0.
-1, 0, 10045745
Suppose 2*g**3/3 + 14236*g**2/3 - 8*g/3 - 56944/3 = 0. What is g?
-7118, -2, 2
What is b in b**3 + 677*b**2 + 96610*b - 195936 = 0?
-471, -208, 2
Determine z, given that -3*z**2/7 + 18914412*z/7 - 29812915108812/7 = 0.
3152402
Determine b so that -100*b**3 - 966792*b**2 + 5881744*b - 464352 = 0.
-9674, 2/25, 6
Factor 32*h**4/5 + 3408*h**3/5 + 76082*h**2/5 - 780432*h/5 + 1678112/5.
2*(h - 4)**2*(4*h + 229)**2/5
Factor y**2/5 + 3869598*y/5 - 3869603.
(y - 5)*(y + 3869603)/5
Solve -315*j**3 + 13278070*j**2 + 18547635*j + 5269250 = 0.
-1, -25/63, 42154
Determine i so that -2*i**5/3 - 780300*i**4 - 228320071552*i**3 + 9589901827072*i**2/3 = 0.
-585232, 0, 14
Suppose 122911*s**3/2 + 1352023*s**2/2 - 3687319*s - 60 = 0. Calculate s.
-15, -2/122911, 4
Determine p, given that p**3 - 6251*p**2 + 2234148*p + 13630140 = 0.
-6, 387, 5870
Determine m, given that -4*m**5/5 - 116*m**4 - 2876*m**3/5 + 62788*m**2/5 - 159408*m/5 + 20016 = 0.
-139, -15, 1, 2, 6
Factor -2*v**2/7 - 684*v/7 + 366560/7.
-2*(v - 290)*(v + 632)/7
Factor -3*z**2/7 + 642*z + 33983109/7.
-3*(z - 4197)*(z + 2699)/7
Suppose -6*g**5/5 - 327*g**4 - 147933*g**3/5 - 4415151*g**2/5 + 538707*g + 2696670 = 0. Calculate g.
-95, -83, -3/2, 2
Factor -46*r**2/25 - 428136*r/25 - 1414208/25.
-2*(r + 9304)*(23*r + 76)/25
Let -4*a**2 + 3408*a - 700304 = 0. Calculate a.
346, 506
Factor -q**2/2 + 78633259*q/2 + 39316630.
-(q - 78633260)*(q + 1)/2
Factor h**3/3 - 4574491*h**2/3 + 9148970*h.
h*(h - 4574485)*(h - 6)/3
Factor i**2/2 - 49463*i/2 + 988460.
(i - 49423)*(i - 40)/2
Factor k**2 + 57360508*k + 822556969504516.
(k + 28680254)**2
Factor 4*w**3/3 + 147632*w**2/3 + 590480*w/3 + 590464/3.
4*(w + 2)**2*(w + 36904)/3
Factor -4*m**2/7 - 7669752*m + 107376544/7.
-4*(m - 2)*(m + 13422068)/7
What is f in f**3 + 3931*f**2 + 4512435*f + 1609548633 = 0?
-2233, -849
What is j in -22*j**5 + 5914*j**4 - 239406*j**3 - 18157666*j**2 - 3293444*j = 0?
-37, -2/11, 0, 119, 187
Factor 2*h**2 - 7648*h - 8615880.
2*(h - 4734)*(h + 910)
What is g in 4*g**5 + 1186*g**4 - 23128*g**3 + 57740*g**2 + 129300*g + 47250 = 0?
-315, -1, -1/2, 5, 15
Factor 2*a**3 + 51596*a**2 - 2274696*a - 15505200.
2*(a - 50)*(a + 6)*(a + 25842)
Suppose 5*l**3 - 21590*l**2 - 411595*l - 1821540 = 0. What is l?
-12, -7, 4337
Determine n so that -216148*n**3 + 6484600*n**2 - 48638100*n + 36000 = 0.
40/54037, 15
Let -2*j**5/9 - 4634*j**4/9 + 12978*j**3 - 697462*j**2/9 + 1063064*j/9 - 159256/3 = 0. What is j?
-2342, 1, 6, 17
Let -46*d**4 + 3748*d**3 + 13720*d**2 + 4316*d - 5610 = 0. Calculate d.
-3, -1, 11/23, 85
Find a such that -7*a**2/5 - 4814*a - 237200 = 0.
-23720/7, -50
Factor -27*f**2 + 35198421*f - 7821870.
-3*(f - 1303645)*(9*f - 2)
Suppose -w**2/2 + 1462687*w + 5850756 = 0. What is w?
-4, 2925378
Factor 2*n**2/3 - 854414*n/3 + 6834928.
2*(n - 427183)*(n - 24)/3
What is w in -3* | {
"pile_set_name": "DM Mathematics"
} |
-132, -95, -24, 93?
2*t**3 - t**2 + 4*t - 152
What is the g'th term of -11, -53, -129, -245, -407, -621, -893?
-g**3 - 11*g**2 - 2*g + 3
What is the h'th term of 11, 44, 97, 170, 263?
10*h**2 + 3*h - 2
What is the j'th term of -20, -46, -80, -122, -172?
-4*j**2 - 14*j - 2
What is the l'th term of -27, -6, 35, 102, 201?
l**3 + 4*l**2 + 2*l - 34
What is the x'th term of -30632, -30636, -30654, -30692, -30756?
-x**3 - x**2 + 6*x - 30636
What is the w'th term of -19, -44, -71, -100, -131, -164, -199?
-w**2 - 22*w + 4
What is the k'th term of 252, 506, 760, 1014?
254*k - 2
What is the f'th term of -349, -700, -1051, -1402, -1753?
-351*f + 2
What is the d'th term of 304, 616, 918, 1204, 1468, 1704, 1906, 2068?
-d**3 + d**2 + 316*d - 12
What is the y'th term of -98, -133, -168, -203, -238, -273?
-35*y - 63
What is the g'th term of -22, -93, -210, -373?
-23*g**2 - 2*g + 3
What is the g'th term of -96, -87, -66, -27, 36?
g**3 + 2*g - 99
What is the m'th term of -49, -105, -165, -229?
-2*m**2 - 50*m + 3
What is the i'th term of -1767, -1765, -1763, -1761?
2*i - 1769
What is the c'th term of 92, 152, 214, 278, 344, 412?
c**2 + 57*c + 34
What is the b'th term of -157, -314, -473, -634, -797, -962, -1129?
-b**2 - 154*b - 2
What is the w'th term of -144, -325, -520, -735, -976, -1249, -1560?
-w**3 - w**2 - 171*w + 29
What is the z'th term of -4, -26, -58, -100, -152, -214?
-5*z**2 - 7*z + 8
What is the w'th term of 438, 443, 450, 459?
w**2 + 2*w + 435
What is the b'th term of -34, -39, -12, 65, 210?
3*b**3 - 2*b**2 - 20*b - 15
What is the o'th term of 7, 7, 21, 55, 115, 207, 337, 511?
o**3 + o**2 - 10*o + 15
What is the j'th term of -52, -63, -74, -85?
-11*j - 41
What is the a'th term of -105, -188, -271, -354, -437?
-83*a - 22
What is the b'th term of -330, -644, -944, -1224, -1478?
b**3 + b**2 - 324*b - 8
What is the r'th term of -5, -69, -253, -617, -1221, -2125, -3389, -5073?
-10*r**3 + 6*r - 1
What is the a'th term of -3439, -6877, -10315, -13753?
-3438*a - 1
What is the l'th term of -2688, -2684, -2682, -2682, -2684, -2688?
-l**2 + 7*l - 2694
What is the m'th term of 2, 69, 254, 617, 1218?
10*m**3 - m**2 - 7
What is the w'th term of 23329, 23328, 23327, 23326?
-w + 23330
What is the y'th term of 249, 246, 241, 234, 225, 214, 201?
-y**2 + 250
What is the p'th term of 25, 18, 11?
-7*p + 32
What is the v'th term of -152, -596, -1342, -2396, -3764, -5452, -7466, -9812?
-v**3 - 145*v**2 - 2*v - 4
What is the h'th term of -18, -57, -122, -213, -330, -473?
-13*h**2 - 5
What is the z'th term of 15, 32, 65, 120, 203?
z**3 + 2*z**2 + 4*z + 8
What is the u'th term of -14, -8, 16, 64, 142, 256?
u**3 + 3*u**2 - 10*u - 8
What is the f'th term of 29, 63, 99, 137, 177, 219, 263?
f**2 + 31*f - 3
What is the k'th term of 17, 31, 41, 47, 49, 47, 41?
-2*k**2 + 20*k - 1
What is the n'th term of -46, -51, -56?
-5*n - 41
What is the b'th term of 12, 27, 32, 21, -12, -73, -168?
-b**3 + b**2 + 19*b - 7
What is the t'th term of 9, 64, 163, 306?
22*t**2 - 11*t - 2
What is the l'th term of 94, 167, 240, 313, 386?
73*l + 21
What is the u'th term of 94, 179, 248, 295, 314, 299, 244, 143?
-u**3 - 2*u**2 + 98*u - 1
What is the b'th term of -1413, -2829, -4245?
-1416*b + 3
What is the h'th term of -1153, -1161, -1173, -1189, -1209, -1233, -1261?
-2*h**2 - 2*h - 1149
What is the y'th term of 6, 37, 92, 171, 274?
12*y**2 - 5*y - 1
What is the g'th term of 4946, 9892, 14838, 19784?
4946*g
What is the h'th term of -19, -46, -85, -142, -223, -334, -481, -670?
-h**3 - 20*h + 2
What is the d'th term of 51, 150, 303, 516, 795, 1146, 1575, 2088?
d**3 + 21*d**2 + 29*d
What is the t'th term of 48, 204, 470, 852, 1356?
t**3 + 49*t**2 + 2*t - 4
What is the b'th term of 496, 996, 1496, 1996, 2496?
500*b - 4
What is the z'th term of -635, -638, -651, -680, -731, -810, -923, -1076?
-z**3 + z**2 + z - 636
What is the k'th term of 20, -72, -314, -778, -1536, -2660, -4222, -6294?
-12*k**3 - 3*k**2 + k + 34
What is the n'th term of 114, 237, 360, 483, 606, 729?
123*n - 9
What is the z'th term of -74, -118, -186, -290, -442?
-2*z**3 - 30*z - 42
What is the o'th term of 224, 223, 222?
-o + 225
What is the x'th term of -20128, -20127, -20126, -20125, -20124, -20123?
x - 20129
What is the y'th term of -67, -139, -213, -289?
-y**2 - 69*y + 3
What is the m'th term of 337, 333, 329?
-4*m + 341
What is the m'th term of -12, 3, 18, 33, 48, 63?
15*m - 27
What is the o'th term of -358, -356, -354, -352, -350?
2*o - 360
What is the m'th term of -234, -472, -710, -948, -1186?
-238*m + 4
What is the c'th term of 1082, 1085, 1088, 1091?
3*c + 1079
What is the j'th term of -36, -58, -80, -102, -124, -146?
-22*j - 14
What is the l'th term of 54, 53, 52, 51, 50?
-l + 55
What is the a'th term of 20, 16, 14, 20, 40, 80, 146?
a**3 - 5*a**2 + 4*a + 20
What is the p'th term of 11705, 11703, 11701?
-2*p + 11707
What is the h'th term of -139, -114, -59, 38, 189?
2*h**3 + 3*h**2 + 2*h - 146
What is the q'th term of 33, 62, 85, 102, 113, 118, 117?
-3*q**2 + 38*q - 2
What is the p'th term of -307, -620, -939, -1264?
-3*p**2 - 304*p
What is the i'th term of 7, 49, 179, 445, 895, 1577, 2539, 3829?
8*i**3 - 4*i**2 - 2*i + 5
What is the v'th term of -68, -149, -260, -413, -620, -893?
-2*v**3 - 3*v**2 - 58*v - 5
What is the d'th term of 35, 35, 25, -1, -49, -125, -235, -385?
-d**3 + d**2 + 4*d + 31
What is the m'th term of -3, -6, -17, -36, -63?
-4*m**2 + 9*m - 8
What is the p'th term of -2249, -2260, -2285, -2330, -2401?
-p**3 - p**2 - p - 2246
What is the g'th term of 311, 1235, 2775, 4931?
308*g**2 + 3
What is the b'th term of -89, -97, -105, -113?
-8*b - 81
What is the m'th term of -30011, -30012, -30013, -30014?
-m - 30010
What is the h'th term of 623, 625, 629, 635, 643, 653?
h**2 - h + 623
What is the i'th term of -88, -344, -772, -1372, -2144?
-86*i**2 + 2*i - 4
What is the l'th term of 2728, 2748, 2780, 2830, 2904, 3008, 3148?
l**3 + 13*l + 2714
What is the q'th term of -40, -97, -156, -217, -280, -345, -412?
-q**2 - 54*q + 15
What is the m'th term of -128, -503, -1128, -2003, -3128, -4503, -6128?
-125*m**2 - 3
What is the q'th term of -481, -962, -1441, -1918, -2393?
q**2 - 484*q + 2
What is the u'th term of -298, -600, -902?
-302*u + 4
What is the d'th term of 54, 102, 150, 198, 246?
48*d + 6
What is the r'th term of -2225, -8884, -19981, -35516, -55489?
-2219*r**2 - 2*r - 4
What is the m'th term of -1127, -1126, -1125, -1124, -1123?
m - 1128
What is the d'th term of 2511, 5021, 7531, 10041, 12551, 15061?
2510*d + 1
What is the a'th term of -59, -113, -211, -359, -563?
-a**3 - 16*a**2 + a - 43
What is the n'th term of -2863, -2864, -2865, -2866?
-n - 2862
What is the f'th term of 593, 631, 669, 707, 745, 783?
38*f + 555
What is the p'th term of 126, 129, 134, 141, 150, 161?
p**2 + 125
What is the d'th term of -3, 22, 93, 234, 469, 822, 1317?
4*d**3 - d**2 - 6
What is the j'th term of -516, -522, -528?
-6*j - 510
What is the q'th term of 4, -6, -16, -26, -36, -46?
-10*q + 14
What is the y'th term of -228, -230, -244, -276, -332, -418?
-y**3 + 5*y - 232
What is the m'th term of 263, 528, 793, 1058?
265*m - 2
What is the p'th term of 46, 37, 28, 19?
-9*p + 55
What is the y'th term of 388, 390, 392, 394, 396, 398?
2*y + 386
What is the x'th term of 535, 1071, 1607, 2143?
536*x - 1
What is the x'th term of -18, -34, -58, -90, -130?
-4*x**2 - 4*x - 10
What is the y'th term of 224, 229, 234, 239?
5*y + 219
What is the p'th term of 443, 886, 1329, 1772, 2215?
443*p
What is the l'th term of 9418, 9414, 9412, 9412, 9414?
l**2 - 7*l + 9424
What is the i'th term of -153, -146, -129, -96, -41, 42, 159?
i**3 - i**2 + 3*i - 156
What is the q'th term of 77, 153, 235, 323, 417?
3*q**2 + 67*q + 7
What is the h'th term of -372, -361, -342, -315?
4*h**2 - h - 375
What is the j'th term of 5, 34, 79, 140, 217, 310, 419?
8*j**2 + 5*j - 8
What is the h'th term of -69, -3, 63, 129, 195?
66*h - 135
What is the r'th term of -1218, -1214, -1208, -1200?
r**2 + r - 1220
What is the s'th term of -1846, -1848, -1850, -1852, -1854?
-2*s - 1844
What is the s'th term of 2297, 2317, 2337, 2357?
20*s + 2277
What is the n'th term of -1858, -3727, -5598, -7471, -9346?
-n**2 - 1866*n + 9
What is the m'th term of -36, -31, -26, -21, -16, -11?
5*m - 41
What is | {
"pile_set_name": "DM Mathematics"
} |
6.8
-0.145*-3
0.435
Work out 29 * 1.
29
What is the product of 7.1 and -80?
-568
Calculate -164*-5.
820
What is 0.41 times 0.1?
0.041
4*9.9
39.6
-0.1275*21
-2.6775
Product of -85 and -0.2.
17
0.07 times -1277
-89.39
0.85 * -0.03
-0.0255
What is the product of -4 and 40?
-160
What is the product of 0.004 and -0.155?
-0.00062
-1*0.7704
-0.7704
Work out -0.3 * -389.
116.7
Calculate 0.5*0.25.
0.125
-2520 * -0.5
1260
664 * 0.5
332
Work out 0.4 * 0.0656.
0.02624
What is the product of -2 and 0.036?
-0.072
Work out -0.001 * 0.17.
-0.00017
-0.5 * -5.2
2.6
Calculate 10*0.6.
6
Calculate -4*113.
-452
60.7 * 0.15
9.105
Product of 3 and -1.4.
-4.2
What is the product of 3 and -0.6?
-1.8
1.4 times 0.01
0.014
What is -3498 times 5?
-17490
0.1 times 0.483
0.0483
Multiply 65 and -12.3.
-799.5
What is 3.59 times -0.4?
-1.436
What is 21 times -801?
-16821
-2.1 * 303
-636.3
135*-6
-810
What is 23 times 0.324?
7.452
Multiply 0.535 and -4.
-2.14
What is the product of 11 and 2510?
27610
What is the product of 0.1 and 22?
2.2
Calculate -2.6*0.24.
-0.624
What is 0.2116 times -3?
-0.6348
-0.0934*-0.4
0.03736
Multiply 0.06 and 35.3.
2.118
Work out -1 * 53.
-53
0.047*-10
-0.47
0.19 * -0.2
-0.038
What is 3 times -1.98?
-5.94
What is 0.09 times 21?
1.89
-0.2193 times 5
-1.0965
-0.0452 * 0.17
-0.007684
Work out -5.43 * -0.4.
2.172
What is 48 times -65?
-3120
-92*-8
736
Product of 59 and -0.14.
-8.26
-0.02*-52
1.04
What is the product of 0.1 and -0.002?
-0.0002
Product of -20 and 0.1.
-2
0.1*0.0391
0.00391
Product of 0.002 and -0.5.
-0.001
What is the product of -9 and -54?
486
Work out -231 * 0.1.
-23.1
Work out 7372 * -0.1.
-737.2
What is the product of 59.7 and 0.2?
11.94
What is the product of -0.09 and 0.19?
-0.0171
Calculate 5*1296.
6480
What is 536 times -1?
-536
-23.7 times 0.1
-2.37
What is the product of -56.9 and 0.7?
-39.83
0.073 times -13.6
-0.9928
What is 4 times 0?
0
What is -829 times -13?
10777
-3 * 37
-111
Calculate -2.066*-0.4.
0.8264
Calculate 0.2*4662.
932.4
Product of -0.532 and 0.1.
-0.0532
What is -2 times 148?
-296
-6.28*-1
6.28
Product of -1 and 0.04.
-0.04
Multiply -105 and -10.
1050
Calculate 4.7*0.315.
1.4805
134 times 0.046
6.164
Calculate -5254*0.
0
What is the product of -0.0528 and -5?
0.264
What is the product of -10 and 14.3?
-143
-10.57 * 0.06
-0.6342
Product of -0.5 and 0.527.
-0.2635
39 * 4.6
179.4
5 * -10.74
-53.7
What is the product of 0.86 and -9?
-7.74
Calculate -0.4*-50.
20
Work out 6630 * 0.
0
4*-75
-300
Product of -1 and -586.
586
Work out -0.6 * -0.4.
0.24
What is 0 times -1.28?
0
6710*0.3
2013
What is 0.73 times -9?
-6.57
Product of 10.5 and 3.
31.5
Calculate -278*-4.
1112
Work out 1.16 * 30.
34.8
12 * -3662
-43944
Multiply 3 and 24.
72
What is -0.08 times 526?
-42.08
What is 0.6 times 4?
2.4
Work out -0.4 * 7.4.
-2.96
0.17*0.4
0.068
0.5*-0.25
-0.125
-3 * -21
63
Multiply 0.034 and -79.
-2.686
Work out -0.01 * 0.246.
-0.00246
0.2 times -31
-6.2
Work out 268 * -4.
-1072
Multiply 24.95 and -4.
-99.8
Calculate -9.3*-0.4.
3.72
-4*-24
96
Multiply 0.85 and -0.06.
-0.051
-110.1 times -4
440.4
-0.5 * -542
271
Calculate 0.07*-0.224.
-0.01568
112 times 0.09
10.08
What is the product of -214 and 0.4?
-85.6
1*19
19
0.1 * 406
40.6
Multiply 8095 and 4.
32380
0.5 times -255
-127.5
What is -0.21 times -15.6?
3.276
Product of 95 and 6.
570
What is -0.08 times -162?
12.96
1046 times 2
2092
-69 * -1.3
89.7
Multiply 1.59 and -0.2.
-0.318
What is -0.13 times 62?
-8.06
-34 times -58
1972
Multiply 1.9 and 50.
95
What is the product of 24 and 42?
1008
Multiply -726 and -0.5.
363
-1.7*-15
25.5
-5 times 0.6
-3
Calculate -0.73*-0.1.
0.073
Work out 0 * 75.
0
Product of -1007 and -0.2.
201.4
Product of 2614 and 0.5.
1307
Product of 4 and 0.13.
0.52
10 * -52
-520
What is the product of 0.66 and -25.3?
-16.698
-41 times 1.47
-60.27
-49 times 2
-98
What is 4892 times 5?
24460
-35845*0
0
-5 times -0.042
0.21
Calculate -706*-0.11.
77.66
-96 times 1.7
-163.2
-0.08*-436
34.88
Product of 217 and 0.3.
65.1
What is 578 times 5?
2890
What is 1327 times 0.3?
398.1
Product of -281 and -0.08.
22.48
-3.9 * 0.5
-1.95
Work out -12801 * 0.4.
-5120.4
-0.04 * -28
1.12
Multiply -0.3 and 148.
-44.4
Product of 1 and 0.03078.
0.03078
Product of 11 and 12.
132
Product of -661 and 0.1.
-66.1
Multiply -4 and 0.1084.
-0.4336
Calculate -13*-16.
208
What is -0.0203 times 15?
-0.3045
Multiply -105 and 7.
-735
What is -2 times 228?
-456
What is -19 times -0.4?
7.6
-0.1 times -52
5.2
Multiply 1793 and -3.
-5379
-0.95 * -0.3
0.285
9.9 * -1
-9.9
What is -526 times 0.03?
-15.78
Product of -74 and -0.5.
37
Multiply 545 and -0.3.
-163.5
Calculate -0.6*3.8.
-2.28
182 * 0
0
Calculate -1.1*-1.09.
1.199
Multiply -0.2 and 66.
-13.2
Calculate -0.1*1188.
-118.8
684 times 4
2736
Work out -7 * 2386.
-16702
Product of -0.6 and -0.05.
0.03
9 * 16.8
151.2
What is the product of -203 and 10?
-2030
-746 times 3
-2238
-0.5 * 25.5
-12.75
-10*-250.9
2509
3.79*0.4
1.516
Multiply 0.1 and -0.0239.
-0.00239
What is the product of -0.12152 and -5?
0.6076
What is the product of 15 and -0.21?
-3.15
What is the product of -67 and 1.81?
-121.27
Work out 1 * 3.051.
3.051
0.2 * 100
20
402*-2
-804
0.5 times -386
-193
Calculate -4*633.
-2532
Calculate -4*-0.03.
0.12
0.2 * -1.3
-0.26
Work out 263 * -0.3.
-78.9
Work out 9 * 140.
1260
-8*-0.0491
0.3928
Calculate 1343.5*-0.2.
-268.7
-1096 times 0.02
-21.92
Product of -60 and 62.
-3720
Calculate -0.4*0.619.
-0.2476
-4 times -5
20
-4 * -688
2752
What is the product of -5082 and 0.4?
-2032.8
Multiply -0.447 and -0.5.
0.2235
Product of -22 and -0.1.
2.2
Calculate 0.132*0.16.
0.02112
-415 times -1.6
664
Calculate -0.0058*-6.
0.0348
Product of -0.2 and 0.38.
-0.076
-2 times -1.128
2.256
-13 times -63
819
What is 1263 times -0.2?
-252.6
-0.1 * 104
-10.4
241 * -28
-6748
Product of -3 and 0.01761.
-0.05283
Multiply -89 and 1.
-89
Multiply 2.753 and -1.
-2.753
What is the product of 0.3 and 8.3?
2.49
-2.79 * 0.2
-0.558
Calculate 0.0296*0.3.
0.00888
What is 1.9 times -1.8?
-3.42
Work out -4 * -1.51.
6.04
-0.3 times 502
-150.6
337 times 1
337
403 times 2
806
-0.272 times 2.3
-0.6256
-477 * 3
-1431
What is -4 times -51?
204
What is 431 times -0.03?
-12.93
What is 0.5 times -5?
-2.5
What is the product of -13 and -0.063?
0.819
1.33 * 1.8
2.394
0.11 * -137
-15.07
-0.12 * 515
-61.8
Calculate -19.4*-4.
77.6
Work out 1 * -69.
-69
What is the product of -0.105 and 0?
0
Calculate -0.00845*-3.
0.02535
-6 * -4.23
25.38
404 * 0.05
20.2
-0.5 times 0.25
-0.125
What is 26 times -1?
-26
-33 * -137
4521
Calculate -0.17*-368.
62.56
Product of -9.6 and -0.2.
1.92
13.5 * -0.13
-1.755
-0.08265*-1
0.08265
Work out 0 * 0.32.
0
What is the product of -1 and 0.0543?
-0.0543
What is the product of 0.096 and -14?
-1.344
Multiply 0.1 and 19.
1.9
Multiply 1801 and 5.
9005
Product of 0.02 and 0.681.
0.01362
-3.74*-12
44.88
What is the product of -789 and -5?
3945
Work out 344 * 0.4.
137.6
Calculate 51*0.028.
1.428
What is 4530 times 2?
9060
2.33 * -1.4
-3.262
-0.03526 times 0.2
-0.007052
What is 0.729 times -0.4?
-0.2916
Product of -3 and 37.
-111
-1.457 * -0.3
0.4371
What is -0.0577 times -0.4?
0.02308
-5*290
-1450
Product of -0.2 and 23.4.
-4.68
Multiply -1 and -0.41.
0.41
-14.2 times -0.1
1.42
Multiply 4 and -0.166.
-0.664
0.1*0.0285
0.00285
0.97 times 0.03
0.0291
Work out 5.4 * -2.4.
-12.96
97*12
1164
Product of -0.0249 and 2.
-0.0498
Calculate 153*-5.
-765
-21.8 times 4
-87.2
3*181
543
10*-15
-150
What is the product of -4 and -0.44?
1.76
1*-1
-1
Work out 0.05 * -222.
-11.1
What is -3 times 0.16?
-0.48
Calculate 0.1*-0.013.
-0.0013
Work out 0.192 * 0.2.
0.0384
What is the product of -1 and 17?
-17
Product of 3 and -0.05.
-0.15
Calculate 0.1*-163.
-16.3
What is the product of 53.5 and -0.4?
-21.4
What is 3.9 times -1.28?
-4.992
682 times 3
2046
Work out 0.2 * 0.05.
0.01
Multiply -16 and 84.
-1344
289*-1
-289
What is the product of -0.5 and 31?
-15.5
What is the product of 1.1 and 1027?
1129.7
6.23 * -0.19
-1.1837
16.27 * 0.5
8.135
Product of -11.92 and -0.2.
2.384
What is -983 times 0.4?
-393.2
Work out 189 * 0.02.
3.78
33 * 0
0
Product of 0.3 and 175.
52.5
Work out -571.9 * 4.
-2287.6
Multiply 0.7199 and -4.
-2.8796
-0.0527*0.1
-0.00527
What is 0.1 times 2405?
240.5
0.1 times 17.8
1.78
12.13*-5
-60.65
Calcul | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(77))/sqrt(7))*5)**2.
-200*sqrt(11) + 4425
Simplify (1*sqrt(132)*-5 - 4*(sqrt(132) + 2*sqrt(132)))/(sqrt(84)/(sqrt(700)*-1)) + -2.
-2 + 170*sqrt(11)
Simplify (sqrt(176) + -1 + 2 - -5*(-1*sqrt(176) - sqrt(176)))**2 + -5*((sqrt(77)*2 + sqrt(77))/sqrt(7))**2*4.
-72*sqrt(11) + 12277
Simplify (1*sqrt(68)*2 + sqrt(68) + 5*((sqrt(68) - (1*sqrt(68) - sqrt(68))) + sqrt(68)))/(2*sqrt(36)*-4).
-13*sqrt(17)/24
Simplify -4*(0 + sqrt(637) + -5 + 0 - -6*(-4*(sqrt(637) + 0) - sqrt(637))**2).
-382180 - 28*sqrt(13)
Simplify ((6*(sqrt(128)*-1 + sqrt(128) + 5))**2 - (((sqrt(128) + -1)*2)**2 + 4)) + 4.
64*sqrt(2) + 384
Simplify -5 + sqrt(28)/(1*sqrt(196)) + 2.
-3 + sqrt(7)/7
Simplify 1*(1 + (-1*sqrt(520))/sqrt(10))*-6.
-6 + 12*sqrt(13)
Simplify 4 + 2 + sqrt(143)/sqrt(11) - (((sqrt(91) + -1*sqrt(91))*1)/sqrt(7))**2.
sqrt(13) + 6
Simplify -1 + ((sqrt(143) - 2*sqrt(143))*2 + (sqrt(143) - 3*sqrt(143)*-2))/((sqrt(121) + sqrt(121)*-2)/sqrt(11) + 1*sqrt(11)*3).
-1 + 5*sqrt(13)/2
Simplify ((sqrt(77) + 3*(sqrt(77) - (sqrt(77)*-4 + sqrt(77) + sqrt(77))))/(sqrt(539)*2 + sqrt(539)))**2.
100/63
Simplify ((3*(sqrt(68)*1 + sqrt(68)) + sqrt(68) - sqrt(68))/(sqrt(324)*4 + sqrt(4))*5)**2.
15300/1369
Simplify -3 + (2*(sqrt(85) - sqrt(85)*-1)*-3)/((sqrt(5) + sqrt(270)/sqrt(6))*6).
-3 - sqrt(17)/2
Simplify (((2*sqrt(60))/sqrt(6) + sqrt(10))/(((sqrt(30)*-1)/sqrt(6) - sqrt(5)) + sqrt(5)) + 4)**2.
-24*sqrt(2) + 34
Simplify sqrt(132)/(4*sqrt(1100) + sqrt(1100))*5.
sqrt(3)/5
Simplify -4 + ((4*-5*sqrt(88)*1)/(sqrt(392) - (sqrt(392) - -1*(sqrt(392)*-2 - sqrt(392)))))**2.
2636/441
Simplify (((sqrt(110) + (sqrt(110)*-2*2 + sqrt(110) - sqrt(110)))*3)/((sqrt(480)*-1 - sqrt(480))/sqrt(3)))**2.
891/64
Simplify 0 + sqrt(119)/sqrt(448) + 5*(sqrt(17) - (-4 + sqrt(17))).
sqrt(17)/8 + 20
Simplify 1 + -4*(sqrt(19) - -5*sqrt(1900)) + 1.
-204*sqrt(19) + 2
Simplify -3 + (sqrt(21)/sqrt(3))**2 + 4 - (sqrt(56)/(-1*sqrt(8)) - (-3 + sqrt(28)/sqrt(4))).
5 + 2*sqrt(7)
Simplify -5 + (sqrt(108)*-3 + 3 + -1*sqrt(108)*6)**2 + -1.
-324*sqrt(3) + 8751
Simplify (sqrt(27) + 0)*-2*4 + -3*((sqrt(12)/sqrt(4) - sqrt(3))*2 - (sqrt(300)*-2 + sqrt(3))**2).
-24*sqrt(3) + 3249
Simplify ((sqrt(567) - (sqrt(567) + 0 + sqrt(567)))*3)**2 + -5 + -4.
5094
Simplify (sqrt(48)*1 - ((sqrt(3) - (sqrt(3) + 1))*-5)**2) + 5 + 1*(0 + sqrt(3)).
-20 + 5*sqrt(3)
Simplify (-2*sqrt(272)*-2 + 4 + -2 + sqrt(272))**2.
80*sqrt(17) + 6804
Simplify (sqrt(1573) - ((sqrt(1573)*2)**2 + sqrt(1573)))*-1 + sqrt(1573) + 1*(sqrt(1573) + 1) + ((2 + sqrt(1573))*1)**2*6.
286*sqrt(13) + 15755
Simplify ((2*sqrt(324))/sqrt(3) - (-1*sqrt(3) + -1)*2) + 2.
4 + 14*sqrt(3)
Simplify (5 + sqrt(85)/sqrt(5)*1)**2 - 2*(sqrt(1088) + 2).
-6*sqrt(17) + 38
Simplify (0 + ((sqrt(108)*-3)/sqrt(6))/(sqrt(486) + -2*sqrt(486)))*-2.
-2*sqrt(3)/3
Simplify (-5*5*-3*sqrt(114))/(sqrt(216) + (sqrt(216) + -1*sqrt(216))*6).
25*sqrt(19)/2
Simplify ((1*sqrt(209))/sqrt(11) - (sqrt(931) + -2*sqrt(931))**2) + ((1*(sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171)) - sqrt(171))/sqrt(9))**2.
-627 + sqrt(19)
Simplify (-1 + sqrt(22)/(sqrt(33)/sqrt(3)) + (4*(sqrt(98) + 2 - sqrt(98)) - sqrt(98)))**2.
-84*sqrt(2) + 121
Simplify (-5 + 1 + sqrt(171))**2 + -1*((sqrt(19) - 2*sqrt(38)/sqrt(2)) + sqrt(19)).
-24*sqrt(19) + 187
Simplify 4 + (sqrt(170)/sqrt(160) - (sqrt(17) + -1)*1 - (sqrt(119)/(sqrt(14)/sqrt(2))*1)**2).
-12 - 3*sqrt(17)/4
Simplify (sqrt(504) + sqrt(504)*-2 + -2*1*sqrt(56))/(sqrt(24)/(sqrt(27)*2)).
-30*sqrt(7)
Simplify (sqrt(10)/(-2*sqrt(6)/sqrt(3)) - sqrt(45)*1*3) + -2.
-19*sqrt(5)/2 - 2
Simplify (1*-3*5*(1 + sqrt(252) + 4))**2*-4.
-249300 - 54000*sqrt(7)
Simplify ((-5*sqrt(112)*1 - sqrt(112)) + -4 + (sqrt(112) - sqrt(112)*2*4 - sqrt(112) - ((sqrt(112) - (0 + sqrt(112))) + 2 - sqrt(112) - sqrt(112))))**2.
576*sqrt(7) + 16164
Simplify (5*sqrt(70)*4)/(5*sqrt(490)).
4*sqrt(7)/7
Simplify 6*(-4 + (sqrt(2) - (sqrt(20)/sqrt(90))**2) - -5*(sqrt(2) - (sqrt(2) + (-2*sqrt(4))/sqrt(2)))).
-76/3 + 66*sqrt(2)
Simplify ((sqrt(21) - (sqrt(252)*1)/sqrt(12))/sqrt(7) + 3)*-1*5.
-15
Simplify (1 + 2 + sqrt(12) + 3)**2 + (1 + -2*(sqrt(12) + -2))**2.
-16*sqrt(3) + 121
Simplify -4 + sqrt(7) + (-2*sqrt(77) + sqrt(77))/sqrt(11) + sqrt(7) + -4 + -2*sqrt(7) + -4 + 2.
-10 - sqrt(7)
Simplify 5 + sqrt(114)/sqrt(6) + -2 + (sqrt(228)/(sqrt(12) - sqrt(12)*-2) + 2)**2.
82/9 + 7*sqrt(19)/3
Simplify (5*(sqrt(117) - (sqrt(117) + (sqrt(117)*2 + sqrt(117))*-4))/sqrt(9))**2*6.
280800
Simplify ((sqrt(1539) - 1*3*sqrt(1539)) + sqrt(1539) - (sqrt(1539) + -2)*1)**2*1.
-72*sqrt(19) + 6160
Simplify 0 + -3*1*sqrt(1053) + -5*(sqrt(1053) + 4).
-72*sqrt(13) - 20
Simplify 3*(2*-5*(sqrt(1216) - sqrt(19)) + 2)**2.
-840*sqrt(19) + 279312
Simplify 3*(-2 + -4 + (-1 + sqrt(1573) - sqrt(1573) - sqrt(1573))*1 + sqrt(1573))**2.
147
Simplify (-4*4*sqrt(156))/(sqrt(432)*-5).
8*sqrt(13)/15
Simplify (sqrt(42)/sqrt(32))/(sqrt(36)/sqrt(48)).
sqrt(7)/2
Simplify ((sqrt(66) + sqrt(66) + (sqrt(66) - -2*sqrt(66)*-6))/(sqrt(6) + (sqrt(864) - sqrt(864)*-4)))**2.
891/3721
Simplify -4*(sqrt(405) - (sqrt(405) + -2)*-1)*2.
-144*sqrt(5) + 16
Simplify ((sqrt(5) + sqrt(80) + 0 - (-2 + sqrt(5))*-1) + 2*sqrt(500) + sqrt(10)/sqrt(2)*5)**2.
-124*sqrt(5) + 4809
Simplify (sqrt(26)/(-5*sqrt(6)/sqrt(3))*1 + 2*(sqrt(91)/(sqrt(28) - sqrt(7)) - sqrt(130)/(sqrt(10)*-1)))**2.
4693/25
Simplify ((sqrt(78) - (sqrt(78) - (5*sqrt(78)*-1 + sqrt(78) + sqrt(78) - sqrt(78)) - sqrt(78)))/(sqrt(600)*-2)*5*-3)**2.
1053/16
Simplify ((sqrt(448)*1)**2*4 + 0)*-5 + -2.
-8962
Simplify (sqrt(3) - (sqrt(48)/sqrt(4))**2 - (sqrt(147) + 1 + sqrt(147))) + (-3*(sqrt(12) + 0)**2 - sqrt(24)/sqrt(2)*4).
-49 - 21*sqrt(3)
Simplify (sqrt(400) + sqrt(400) + -2*sqrt(400)*-6 + sqrt(400))/(-2*sqrt(288)).
-25*sqrt(2)/4
Simplify ((sqrt(1911) + -2*sqrt(1911))*-6)/((sqrt(36)/sqrt(3)*-4)/sqrt(4)).
-21*sqrt(13)/2
Simplify 5*((-4 + -4 + sqrt(20)*1)**2 + -5).
-160*sqrt(5) + 395
Simplify -5*(-5*(sqrt(5) + -2) + -2 + 4).
-60 + 25*sqrt(5)
Simplify ((1 + sqrt(2))*-4 - ((sqrt(2) - (-4 + sqrt(32) + sqrt(2) + sqrt(2))) + sqrt(2) - sqrt(2))) + sqrt(72)*2 + (sqrt(128) + -2)**2.
-19*sqrt(2) + 124
Simplify -2*(0 + (2*(1 + sqrt(147)) + 3)**2).
-1226 - 280*sqrt(3)
Simplify (2*sqrt(170)*1 - (sqrt(170) - 1*sqrt(170)*5))/(4*sqrt(30)/sqrt(3) - sqrt(10) - (-2*-2*sqrt(10) + sqrt(10))).
-3*sqrt(17)
Simplify (-1 + sqrt(1053) + -1)**2 - (2*sqrt(78)*-2)/sqrt(6).
-32*sqrt(13) + 1057
Simplify sqrt(1900) - (3*1*sqrt(1900))**2 - ((1 + sqrt(1900))*-4)**2 - (5*(0 + sqrt(1900))**2 + 3).
-57019 - 310*sqrt(19)
Simplify -5*(3*sqrt(1539) + 4 - (sqrt(19) + sqrt(76)/sqrt(16) - ((sqrt(19) - sqrt(304)) + -5 + sqrt(19))))**2.
-209875/4 + 235*sqrt(19)
Simplify ((-2*1*sqrt(153) + sqrt(153) - sqrt(153)) + -3*(sqrt(153) + sqrt(153)*-2) + sqrt(153))/(sqrt(81)*2 + sqrt(9) - sqrt(36)*2).
2*sqrt(17)/3
Simplify -5 + 5 + ((-1 + sqrt(1100))*-2)**2 + 4.
-80*sqrt(11) + 4408
Simplify 0 + (sqrt(136)/(sqrt(648) - sqrt(648)*4))**2*3 + 2.
503/243
Simplify ((sqrt(135) - -2*sqrt(135))/sqrt(9) - sqrt(135)/sqrt(81))/(sqrt(300) + 3*1*sqrt(300)).
sqrt(5)/15
Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + (-2*sqrt(77) - sqrt(77)))))/sqrt(11) + ((sqrt(189)/sqrt(3))/sqrt(9))**2 + (sqrt(21)/sqrt(3)*-2)**2 + 3.
5*sqrt(7) + 38
Simplify ((sqrt(204) + (sqrt(204) - 5*sqrt(204)))*-4 - sqrt(204))/(sqrt(72)/(sqrt(36)/sqrt(6))) + 1.
1 + 11*sqrt(17)
Simplify 0 + 0 + sqrt(84)/(sqrt(144)/sqrt(432))*-5.
-30*sqrt(7)
Simplify ((sqrt(456) - (sqrt(456) + -3*sqrt(456)*1))/sqrt(8))/((sqrt(3) + sqrt(6)/sqrt(2))*5*-5).
-3*sqrt(19)/50
Simplify ((sqrt(3) - (sqrt(3) + (sqrt(3) - (sqrt(75) - sqrt(3))*-4))) + 4 - (0 + (sqrt(12)/sqrt(4)*-2)**2)) + 5.
-17*sqrt(3) - 3
Simplify 6*((sqrt(132) + (sqrt(132) - (sqrt(132) + (sqrt(132) - (sqrt(132) - (sqrt(132)*1 + sqrt(132)))))))*4)/(sqrt(1200)*1).
-12*sqrt(11)/5
Simplify (2 + -2*sqrt(363)*-2 + sqrt(363) + sqrt(363) + sqrt(363) + 5*(0 + sqrt(363)) + sqrt(363) + -1*sqrt(363) + -5 + sqrt(363))**2 + 1.
-858*sqrt(3) + 61357
Simplify (5*sqrt(18)/(sqrt(9)*-2 - sqrt(9)))**2 - (3 + (-1 + sqrt(2))**2*5).
-112/9 + 10*sqrt(2)
Simplify (sqrt(171) + 1 + sqrt(171)*1 + 0 + 2 + -3)**2.
684
Simplify ((sqrt(15) - sqrt(150)/(1*sqrt(10)))/sqrt(3) - (-5 + sqrt(245) + sqrt(245) + 1 + sqrt(245) + sqrt(245) - sqrt(245))**2) + 3.
-2218 + 168*sqrt(5)
Simplify (sqrt(85)/sqrt(5) + -2)*-2 + sqrt( | {
"pile_set_name": "DM Mathematics"
} |
it of 671769?
7
What is the ten thousands digit of 3775311?
7
What is the tens digit of 278963?
6
What is the tens digit of 281105?
0
What is the hundreds digit of 4608866?
8
What is the hundred thousands digit of 1420554?
4
What is the ten thousands digit of 5945567?
4
What is the hundreds digit of 474895?
8
What is the tens digit of 310230?
3
What is the hundreds digit of 19988?
9
What is the millions digit of 3295794?
3
What is the millions digit of 7382264?
7
What is the units digit of 41094?
4
What is the hundred thousands digit of 196666?
1
What is the ten thousands digit of 26735827?
3
What is the tens digit of 12894303?
0
What is the ten millions digit of 29243670?
2
What is the ten thousands digit of 1324807?
2
What is the units digit of 444299?
9
What is the tens digit of 26563002?
0
What is the hundred thousands digit of 1551632?
5
What is the tens digit of 164288?
8
What is the hundreds digit of 1214997?
9
What is the units digit of 265879?
9
What is the units digit of 5910932?
2
What is the hundreds digit of 12944983?
9
What is the thousands digit of 1674432?
4
What is the units digit of 6409632?
2
What is the thousands digit of 31330278?
0
What is the thousands digit of 2837728?
7
What is the units digit of 40375394?
4
What is the hundreds digit of 540805?
8
What is the units digit of 1610881?
1
What is the tens digit of 5341763?
6
What is the tens digit of 2285600?
0
What is the tens digit of 1961662?
6
What is the hundreds digit of 209635?
6
What is the thousands digit of 1179636?
9
What is the hundreds digit of 163321?
3
What is the tens digit of 890141?
4
What is the hundred thousands digit of 519305?
5
What is the units digit of 1142088?
8
What is the thousands digit of 20240130?
0
What is the thousands digit of 16661308?
1
What is the ten thousands digit of 881894?
8
What is the tens digit of 2667391?
9
What is the millions digit of 29429526?
9
What is the tens digit of 684368?
6
What is the units digit of 765288?
8
What is the hundred thousands digit of 11084554?
0
What is the hundred thousands digit of 20791765?
7
What is the tens digit of 870534?
3
What is the hundreds digit of 429396?
3
What is the tens digit of 127710?
1
What is the hundreds digit of 242981?
9
What is the thousands digit of 8047470?
7
What is the ten thousands digit of 220019?
2
What is the tens digit of 6457754?
5
What is the hundred thousands digit of 6650129?
6
What is the hundred thousands digit of 2360004?
3
What is the tens digit of 7291036?
3
What is the hundreds digit of 42641?
6
What is the hundreds digit of 105300?
3
What is the millions digit of 24173682?
4
What is the ten thousands digit of 120674?
2
What is the units digit of 1640162?
2
What is the ten thousands digit of 301203?
0
What is the ten thousands digit of 27124807?
2
What is the thousands digit of 61578?
1
What is the hundred thousands digit of 176446?
1
What is the tens digit of 8377332?
3
What is the ten thousands digit of 1020349?
2
What is the ten thousands digit of 786298?
8
What is the hundreds digit of 835046?
0
What is the ten thousands digit of 69588?
6
What is the hundreds digit of 111800?
8
What is the ten thousands digit of 46982?
4
What is the millions digit of 12014228?
2
What is the hundreds digit of 6923314?
3
What is the ten thousands digit of 166056?
6
What is the ten thousands digit of 658705?
5
What is the tens digit of 4255457?
5
What is the hundred thousands digit of 7166140?
1
What is the ten thousands digit of 42958?
4
What is the millions digit of 1160431?
1
What is the tens digit of 143713?
1
What is the ten thousands digit of 1293783?
9
What is the thousands digit of 221770?
1
What is the tens digit of 147360?
6
What is the hundred thousands digit of 3969517?
9
What is the units digit of 228418?
8
What is the thousands digit of 16684501?
4
What is the hundreds digit of 2870988?
9
What is the units digit of 184855?
5
What is the tens digit of 2886734?
3
What is the ten thousands digit of 982216?
8
What is the thousands digit of 899999?
9
What is the hundred thousands digit of 313469?
3
What is the ten thousands digit of 1960727?
6
What is the hundred thousands digit of 1073984?
0
What is the thousands digit of 5453178?
3
What is the thousands digit of 723875?
3
What is the millions digit of 2275847?
2
What is the hundreds digit of 1027753?
7
What is the hundred thousands digit of 21272236?
2
What is the millions digit of 11367010?
1
What is the units digit of 201526?
6
What is the units digit of 534493?
3
What is the tens digit of 2959840?
4
What is the hundreds digit of 1137222?
2
What is the millions digit of 1744547?
1
What is the tens digit of 412801?
0
What is the units digit of 5585673?
3
What is the units digit of 8721623?
3
What is the units digit of 2114000?
0
What is the ten thousands digit of 1674075?
7
What is the hundred thousands digit of 3108153?
1
What is the tens digit of 305190?
9
What is the thousands digit of 4057244?
7
What is the tens digit of 296336?
3
What is the units digit of 10260110?
0
What is the thousands digit of 78002?
8
What is the hundreds digit of 1249136?
1
What is the units digit of 5618365?
5
What is the ten thousands digit of 10086393?
8
What is the tens digit of 439753?
5
What is the ten thousands digit of 5057714?
5
What is the hundred thousands digit of 697329?
6
What is the thousands digit of 630966?
0
What is the tens digit of 185418?
1
What is the ten thousands digit of 17532611?
3
What is the hundreds digit of 7693102?
1
What is the hundreds digit of 38408?
4
What is the tens digit of 6501458?
5
What is the hundreds digit of 7593?
5
What is the hundreds digit of 752303?
3
What is the millions digit of 1179550?
1
What is the ten thousands digit of 1763032?
6
What is the units digit of 3921034?
4
What is the hundreds digit of 2355870?
8
What is the tens digit of 92461?
6
What is the units digit of 673068?
8
What is the units digit of 535870?
0
What is the hundreds digit of 727207?
2
What is the hundred thousands digit of 5058077?
0
What is the tens digit of 3606754?
5
What is the units digit of 548549?
9
What is the thousands digit of 2035630?
5
What is the hundred thousands digit of 912286?
9
What is the hundreds digit of 2045473?
4
What is the thousands digit of 286269?
6
What is the hundreds digit of 144190?
1
What is the millions digit of 10344991?
0
What is the hundreds digit of 1718319?
3
What is the tens digit of 556672?
7
What is the ten thousands digit of 620072?
2
What is the hundred thousands digit of 9571493?
5
What is the hundred thousands digit of 118880?
1
What is the ten thousands digit of 2352599?
5
What is the hundred thousands digit of 26983656?
9
What is the ten thousands digit of 1191653?
9
What is the ten thousands digit of 607151?
0
What is the tens digit of 415208?
0
What is the hundred thousands digit of 591752?
5
What is the ten thousands digit of 9695307?
9
What is the thousands digit of 419787?
9
What is the ten thousands digit of 919837?
1
What is the ten thousands digit of 691376?
9
What is the hundreds digit of 2355368?
3
What is the ten millions digit of 27121047?
2
What is the ten thousands digit of 12592?
1
What is the tens digit of 4624804?
0
What is the tens digit of 30632550?
5
What is the hundred thousands digit of 285708?
2
What is the hundreds digit of 5239168?
1
What is the tens digit of 47470?
7
What is the hundred thousands digit of 211236?
2
What is the ten thousands digit of 77687?
7
What is the thousands digit of 9944734?
4
What is the thousands digit of 146542?
6
What is the thousands digit of 229984?
9
What is the ten thousands digit of 31786?
3
What is the tens digit of 104820?
2
What is the hundreds digit of 196343?
3
What is the ten millions digit of 12562979?
1
What is the units digit of 10191673?
3
What is the ten thousands digit of 484217?
8
What is the units digit of 148795?
5
What is the hundreds digit of 9873251?
2
What is the hundred thousands digit of 12723824?
7
What is the thousands digit of 791339?
1
What is the hundreds digit of 2676440?
4
What is the tens digit of 1422218?
1
What is the units digit of 6431052?
2
What is the hundred thousands digit of 3473208?
4
What is the ten thousands digit of 27927111?
2
What is the hundreds digit of 123726 | {
"pile_set_name": "DM Mathematics"
} |
remainder when 25 is divided by o?
12
Let m(g) = -3. Let x(b) = b + 7. Let l(p) = 7*m(p) + 3*x(p). Let w be l(-1). Calculate the remainder when 25 is divided by (-38)/w + 3/9.
12
Suppose 0 = -0*p + 2*p - 6. Let l be ((-2)/p)/(3/54). Calculate the remainder when (-2)/(-3) - 88/l is divided by 3.
2
Let f = -11 + 13. Suppose 2*l + 4*y = 40, 0 = -f*y - 2*y + 12. Let g = 42 + -16. What is the remainder when g is divided by l?
12
Let q(g) = g + 11. Let m be q(-9). Suppose -m*s = 2*s - 4. Calculate the remainder when 2 is divided by s.
0
What is the remainder when 84 is divided by 33 + (-3 - -7)*-1?
26
Let b(n) = 6*n - 7. Suppose -r = 3*r - 108. Let d = 39 - r. What is the remainder when b(5) is divided by d?
11
What is the remainder when 9 is divided by ((-6)/(-2))/(6/4)?
1
Suppose -4*t = -s + 7 - 40, 2*s + 30 = 4*t. What is the remainder when 62 is divided by t?
8
Suppose -5*h - 6 = -81. Calculate the remainder when 72 is divided by h.
12
Suppose 113 - 15 = 7*g. Suppose -u + 5 + 7 = -2*m, 0 = -5*u + m + 33. Let n = u + 2. Calculate the remainder when g is divided by n.
6
Let q(t) = -t + 14. Let z = 14 + -7. What is the remainder when q(z) is divided by 2?
1
Let c = -5 - -6. Let i be c + 4 - (-2 + 4). Suppose -g - l = -6*l + 3, -3*l - 15 = -i*g. What is the remainder when 19 is divided by g?
5
Let b(q) = q**2 - 3*q + 9. Calculate the remainder when 33 is divided by b(0).
6
Let f(g) = -g**3 + 19*g**2 + g - 8. Calculate the remainder when f(19) is divided by 7.
4
Let g = 196 - 128. Let i = 32 + -9. Calculate the remainder when g is divided by i.
22
Suppose 4*o + 0*r - 49 = -3*r, 4*o - 46 = -2*r. Let b(l) = -2*l**3 - 5*l**2 + 2*l - 3. What is the remainder when b(-4) is divided by o?
7
Let r(l) = -l**3 + 5*l**2 + 7*l - 1. Let t(u) = -u**3 + 5*u**2 + 8*u + 7. What is the remainder when t(6) is divided by r(6)?
4
Suppose 3*m - 60 = m. Suppose 0 = -4*s + 7*s - m. Calculate the remainder when 39 is divided by s.
9
Suppose 2*o - 27 = -3*t + 152, -t + 63 = 4*o. Let f be 10*3/((-6)/(-4)). What is the remainder when t is divided by 2/(2 - 38/f)?
19
Let c(m) = 8*m**2 + 30*m + 6. Let n = -9 + 14. Calculate the remainder when c(-4) is divided by n.
4
Let j(k) = k**3 + 9*k**2 + 6*k + 3. Let u be j(-8). Let d = u + -2. Calculate the remainder when d is divided by 6.
5
Suppose -p + 4*a - 18 = 0, 3*a - 23 = -4*p - 0*p. Suppose -r + 9 = p. Calculate the remainder when 13 is divided by r.
6
Suppose 4*u + 0*w + w - 131 = 0, -2*u + 5*w = -49. What is the remainder when 94 is divided by u?
30
Let i = -3 + 29. Calculate the remainder when 49 is divided by i.
23
Let w(g) = 2*g - 2. Let y be w(4). Suppose -o + y*o = v + 173, -4*o = -5*v - 130. What is the remainder when o is divided by 12?
11
Let d(c) = 15*c**2 + 2*c + 1. Calculate the remainder when 25 is divided by d(-1).
11
Let j = -46 + 72. Calculate the remainder when 127 is divided by j.
23
Let f be -1 + 6*2/4. Let k(z) = 70*z**2 + 4*z - 3. Let h be k(f). Suppose -h = -i - 4*i. Calculate the remainder when i is divided by 15.
12
Suppose 4 = r - 5. Calculate the remainder when 80 is divided by r.
8
Let w(q) = -q**3 - 3*q**2 + 4*q + 3. Let p be w(-4). Suppose -p*l = -0*l - 75. Calculate the remainder when l is divided by 13.
12
Let z(t) = t**2 - 5*t + 4. Let y = -4 - -9. Let d = y + 1. What is the remainder when d is divided by z(5)?
2
Suppose 8 = -2*p + 3*p. What is the remainder when 47 is divided by (-7)/((-21)/6)*p?
15
Suppose -6*g + 277 = -77. Calculate the remainder when g is divided by 10.
9
Suppose 5*d - 348 = l, d - 2*l - 27 = 48. Calculate the remainder when d is divided by 18.
15
Let q(s) = -2*s + 1. Let j be q(-2). Suppose 7 = j*k - 8. What is the remainder when 11 is divided by k?
2
Let p(o) = -o**3 + 4*o**2 - 2. Let s be p(4). Let k(t) = 1 + 8 - 15*t - 7. Calculate the remainder when k(s) is divided by 11.
10
Let j = 2 + 0. Suppose -3*o + j*b + 51 = 5*b, 130 = 5*o - 4*b. Calculate the remainder when 65 is divided by o.
21
Suppose z = 5*h - 102, -z = -3*h + 2*z + 54. Suppose 5*k = 34 + h. Calculate the remainder when 21 is divided by k.
10
Let g be (15 - 8/4)*-1. Let r = -6 - g. What is the remainder when 17 is divided by r?
3
What is the remainder when 22 is divided by (-1)/4 - (-99)/12?
6
Let v(c) = 2 - 2 + 468*c - 463*c. Suppose 0 = p - 0*p - 2. What is the remainder when v(p) is divided by 6?
4
Suppose 0 = -2*f + 2, 3*d + 7 - 20 = 2*f. Let c = 0 + 3. Suppose d*w + c = 43. Calculate the remainder when w is divided by 3.
2
Suppose 4*y = j - 26, -3*j = -4*y + y - 78. What is the remainder when j is divided by 10?
6
Suppose -5*f = -5*z + 1355, 3 = -2*f + 5. Suppose 0*j = j + 5*g - 93, 4*j - z = 5*g. Let c = -48 + j. What is the remainder when c is divided by 14?
11
Suppose 5*w - 13 + 243 = 0. Let m = 76 + w. What is the remainder when m is divided by 11?
8
Let y = 122 - 113. Calculate the remainder when y is divided by 5.
4
Let i(t) = -t**3 - t + 8. Let b be i(0). Let k = 68 - b. Let q = k - 13. Calculate the remainder when q is divided by 16.
15
Suppose 5 = y - 5. What is the remainder when 58 is divided by y?
8
Let c(m) be the second derivative of m**4/6 - m**3/6 + 2*m. Suppose 9 = 3*n + 3. What is the remainder when c(-1) is divided by n?
1
Suppose 0 = -f - f - 2*m + 22, -10 = 5*m. Suppose 2*l - 10 = -0. What is the remainder when f is divided by l?
3
Suppose 5*i + 34 - 149 = 0. Calculate the remainder when 43 is divided by i.
20
Let k = 2 + 3. Let d(g) be the third derivative of 5*g**4/12 - g**3 - 2*g**2. Calculate the remainder when d(k) is divided by 15.
14
Let k = 30 - -1. What is the remainder when k is divided by 8?
7
Let c(b) = b**2 - 3*b - 34. Calculate the remainder when (-8)/10*290/(-4) is divided by c(-6).
18
Let k(h) = -h**2 - 9*h - 7. Suppose 4*l = -5*j - 19, 3*l + 14 = -4*j - 0*j. Calculate the remainder when 32 is divided by k(l).
10
Suppose 0 = -4*h + 2*h + 4. Suppose -p - h*p = -15. Suppose -5*s - 3*j + 19 = 0, 5*j - 5 = 2*s + 3*s. What is the remainder when p is divided by s?
1
Suppose -53 = -5*u + 27. Calculate the remainder when 2 is divided by 1/(-4) - (-20)/u.
0
Let a(p) = -p + 9. Suppose 2*g - 85 = -3*g. What is the remainder when g is divided by a(3)?
5
Let i(t) = -t**2 - 9*t + 16. Let o be i(-11). What is the remainder when 8 is divided by -2*(-3)/o*-5?
3
Let m(y) = -6*y - 7. Let c = -2 + -3. Let v be m(c). Let t = 33 - v. What is the remainder when t is divided by 4?
2
Let g(l) = -l**3 + 4*l**2 + 4*l - 6. Let h(f) = f + 4. Calculate the remainder when g(4) is divided by h(0).
2
Let p = 125 + -278. Let l = -32 - p. Suppose 4*v + 9 - l = 0. Calculate the remainder when v is divided by 10.
8
Suppose 2*g - c = 25, -97 + 30 = -5*g + c. Calculate the remainder when 25 is divided by g.
11
Suppose 56 = 2*x + 4. Calculate the remainder when 99 + (-1 + 4)/((-3)/(-2)) is divided by x.
23
Suppose 0 = 2*h - 27 - 199. Let w = h - 48. What is the remainder when w is divided by 33?
32
Suppose 0 = -5*f + f. Suppose -4*z + 3*y - 23 + 63 = f, 2*y + 1 = -z. Calculate the remainder when z is divided by 3.
1
Calculate the remainder when 56/(-10)*10/(-2) is divided by 10.
8
Suppose -3 = 4*q - 31. Let b(u) = 2*u - 8. Let p be b(q). Let d = p - -23. Calculate the remainder when d is divided by 10.
9
Suppose 5 = -2*n - 9. Let a(l) = -l**3 - 7*l**2 - 5*l - 10. Calculate the remainder when 48 is divided by a(n).
23
Let b = -118 - -139. Calculate the remainder when 143 is divided by b.
17
Suppose 0*f = 2*f - 2. Calculate the remainder when 24 + (0 - -1)*f is divided by 13.
12
Suppose -3*p + u + 161 = 0, -2*u = 6*p - 3*p - 173. What is the remainder when p is divided by 15?
10
Let a(t) = -t + 22. Calculate the remainder when a(12) is divided by 2.
0
Let z(u) = -69*u - 6. Calculate the remainder when z(-1) is divided by 17.
12
Suppose -2*k - 12 = k. Let r = -5 - k. What is the remainder when 67/6 + r/6 is divided by 4?
3
Let n(v) = -v + 11. Let b(r) = -r + 16. Let s be b(11). What is the remainder when 21 is divided by n(s)?
3
Let y(l) = 3*l**2 - 4*l + 2. Suppose 2*j + 0*j - 4 = 0. What is the remainder when 22 is divided by y(j)?
4
Let n(w) = -7*w + 8. Let i be n(-8). Let z = 99 - i. Calculate the remainder when z is divided by 17 + -1 + (-4)/(-2).
17
Let s be (-20)/(-9) - 6/27. Suppose 4*y - 85 = -x, 0* | {
"pile_set_name": "DM Mathematics"
} |
sequence uom?
7/612
Four letters picked without replacement from idri. Give prob of sequence iird.
1/12
Four letters picked without replacement from {z: 2, h: 1, v: 5, w: 1}. What is prob of sequence hzwz?
1/1512
Four letters picked without replacement from {e: 2, c: 6}. Give prob of sequence eecc.
1/28
Calculate prob of sequence uu when two letters picked without replacement from {u: 4, a: 4, r: 10, s: 1}.
2/57
What is prob of sequence nn when two letters picked without replacement from nuuuunnuuuuuuuu?
1/35
Calculate prob of sequence kzk when three letters picked without replacement from kzk.
1/3
Three letters picked without replacement from {w: 4, e: 6}. What is prob of sequence eww?
1/10
Four letters picked without replacement from smzszsezssssez. What is prob of sequence ezzz?
2/1001
Three letters picked without replacement from {a: 5, n: 3, p: 2, d: 5, x: 4}. Give prob of sequence xdp.
20/2907
Four letters picked without replacement from {s: 1, o: 1, g: 1, z: 1, c: 1}. What is prob of sequence cozg?
1/120
Two letters picked without replacement from {s: 17, i: 2}. What is prob of sequence ss?
136/171
Calculate prob of sequence mov when three letters picked without replacement from bobvbbvobmmbmobob.
1/170
Calculate prob of sequence zdz when three letters picked without replacement from {a: 1, u: 1, z: 8, q: 1, d: 8}.
224/2907
Four letters picked without replacement from ggggg. What is prob of sequence gggg?
1
Two letters picked without replacement from {q: 5, s: 5, b: 3, y: 4, v: 1}. What is prob of sequence sv?
5/306
Three letters picked without replacement from {s: 5, x: 5}. What is prob of sequence xxx?
1/12
Three letters picked without replacement from uuguffuiiuuuumuluu. Give prob of sequence iug.
11/2448
What is prob of sequence tt when two letters picked without replacement from dddtddddtttt?
5/33
Four letters picked without replacement from vivvvivviviviiiiiviv. What is prob of sequence iiiv?
20/323
What is prob of sequence ii when two letters picked without replacement from {h: 1, j: 3, a: 4, i: 10}?
5/17
Two letters picked without replacement from {q: 2, x: 1, r: 1, t: 4}. What is prob of sequence xq?
1/28
Four letters picked without replacement from {h: 7, i: 5, m: 1}. What is prob of sequence ihhi?
7/143
Calculate prob of sequence kjm when three letters picked without replacement from cmujk.
1/60
Calculate prob of sequence qg when two letters picked without replacement from goyyysqryyygg.
1/52
Three letters picked without replacement from lkljjlg. What is prob of sequence jlg?
1/35
What is prob of sequence oow when three letters picked without replacement from {w: 3, o: 7}?
7/40
What is prob of sequence ox when two letters picked without replacement from {x: 3, o: 3}?
3/10
Calculate prob of sequence fgi when three letters picked without replacement from iigfigifi.
5/126
Calculate prob of sequence vv when two letters picked without replacement from {v: 2, d: 2}.
1/6
Three letters picked without replacement from jyxaxyyxlyxlax. Give prob of sequence lxl.
5/1092
Calculate prob of sequence bccb when four letters picked without replacement from ccyyycccb.
0
Calculate prob of sequence men when three letters picked without replacement from {e: 2, m: 15, n: 3}.
1/76
What is prob of sequence nz when two letters picked without replacement from znnzznn?
2/7
What is prob of sequence od when two letters picked without replacement from oddddddd?
1/8
Two letters picked without replacement from {m: 3, k: 1, h: 2, u: 4, z: 1}. Give prob of sequence uz.
2/55
Calculate prob of sequence qtfx when four letters picked without replacement from {f: 1, t: 4, q: 1, n: 1, x: 1}.
1/420
Calculate prob of sequence pz when two letters picked without replacement from pxzrztzz.
1/14
What is prob of sequence qv when two letters picked without replacement from qvqqvqqvvqvqqvqqqq?
4/17
Four letters picked without replacement from wwwwwwkw. Give prob of sequence wkww.
1/8
Two letters picked without replacement from emmiieemiememmmeee. What is prob of sequence mm?
7/51
Four letters picked without replacement from {w: 4, u: 6}. Give prob of sequence wwww.
1/210
Calculate prob of sequence ecfy when four letters picked without replacement from ybbbbccfbbce.
1/3960
Four letters picked without replacement from leeeellm. What is prob of sequence llle?
1/70
Calculate prob of sequence jj when two letters picked without replacement from jvvnevmvjmm.
1/55
What is prob of sequence haa when three letters picked without replacement from aah?
1/3
Four letters picked without replacement from lyllyslsylllsq. What is prob of sequence lyqy?
1/572
Four letters picked without replacement from bsxabbabbbibsbxsbbb. What is prob of sequence bxaa?
11/23256
Two letters picked without replacement from {u: 3, q: 2, m: 5}. What is prob of sequence qm?
1/9
Calculate prob of sequence oc when two letters picked without replacement from oooocco.
5/21
What is prob of sequence ww when two letters picked without replacement from exeexxxnexxeexewxex?
0
Two letters picked without replacement from rsjjjsqqssssssjyq. Give prob of sequence sy.
1/34
Four letters picked without replacement from {n: 9, q: 4, h: 3}. What is prob of sequence hhnh?
9/7280
Calculate prob of sequence eeee when four letters picked without replacement from eeeeee.
1
Two letters picked without replacement from {r: 7, v: 1, z: 1, x: 8, c: 2}. What is prob of sequence rz?
7/342
Two letters picked without replacement from isiiqqiiii. What is prob of sequence ii?
7/15
Four letters picked without replacement from {m: 1, z: 1, s: 2, v: 3, l: 3}. What is prob of sequence lslv?
1/140
Calculate prob of sequence vv when two letters picked without replacement from {s: 2, l: 5, b: 1, c: 6, v: 3}.
3/136
Four letters picked without replacement from ccczcccc. What is prob of sequence cccc?
1/2
What is prob of sequence oqq when three letters picked without replacement from oqqoqqqqqoooqq?
15/91
What is prob of sequence ii when two letters picked without replacement from {o: 5, i: 5}?
2/9
What is prob of sequence yyve when four letters picked without replacement from eeqeqyyqeeyenyv?
1/455
What is prob of sequence ebce when four letters picked without replacement from {p: 2, b: 1, c: 1, e: 5, y: 1}?
1/252
Three letters picked without replacement from pppkypppkpkypppppppp. What is prob of sequence kpk?
1/76
Four letters picked without replacement from {c: 4, z: 3, w: 4, v: 4, y: 4, q: 1}. Give prob of sequence wqvc.
8/14535
Three letters picked without replacement from oooeeooeeeoooeoooso. Give prob of sequence eeo.
20/323
What is prob of sequence mv when two letters picked without replacement from ivm?
1/6
Four letters picked without replacement from {o: 5, y: 2}. What is prob of sequence yyoo?
1/21
Calculate prob of sequence eed when three letters picked without replacement from edeeeehhee.
7/120
What is prob of sequence gtot when four letters picked without replacement from {t: 2, o: 4, g: 6}?
2/495
Calculate prob of sequence vf when two letters picked without replacement from {p: 2, f: 1, v: 11}.
11/182
Calculate prob of sequence xns when three letters picked without replacement from {q: 1, p: 4, s: 4, x: 9, n: 2}.
1/95
Calculate prob of sequence exa when three letters picked without replacement from eaxxaxqxxf.
1/72
Four letters picked without replacement from {r: 13, b: 5}. What is prob of sequence rrbr?
143/1224
Two letters picked without replacement from {c: 8, q: 1, p: 1, z: 8}. Give prob of sequence pq.
1/306
What is prob of sequence yly when three letters picked without replacement from ddylldydyyllddydyyly?
7/171
What is prob of sequence qqqq when four letters picked without replacement from dqqddqqdqqqdqqdd?
9/130
Four letters picked without replacement from {f: 2, o: 1, t: 1, b: 2, p: 1}. What is prob of sequence ofof?
0
What is prob of sequence kqp when three letters picked without replacement from kpqkcccqqppykpqupk?
5/306
Four letters picked without replacement from {c: 5, k: 2, s: 5, u: 1, d: 3}. Give prob of sequence suds.
1/728
Calculate prob of sequence llq when three letters picked without replacement from qquuwuwlqqqll.
5/286
Calculate prob of sequence nvs when three letters picked without replacement from {s: 2, v: 3, | {
"pile_set_name": "DM Mathematics"
} |
/l))/(l**(1/6))**40 assuming l is positive.
l**(-29/3)
Simplify (r**(-1/10)/((((r**(-1/4)*r)/r)/r)/r))/(r/(r**(2/5)/r))**(-8) assuming r is positive.
r**(299/20)
Simplify q*q/(q*q*q*(q*q**2)/q*q)*q*q**(2/21) assuming q is positive.
q**(-61/21)
Simplify ((j**(-4)/j)/(j*j**10*j))**(-28) assuming j is positive.
j**476
Simplify (z*z**11*z**(-4))**(-7) assuming z is positive.
z**(-56)
Simplify (q**0)**(7/11) assuming q is positive.
1
Simplify (c/(c**1/c)*c)**(4/25)/(c*c**(2/3)*c)**(-1/16) assuming c is positive.
c**(73/150)
Simplify (f*f**(2/67))/f**(-1/24) assuming f is positive.
f**(1723/1608)
Simplify ((k**(-4/5)*k)/(k**4/k*k))/(k**(2/7)/k**7) assuming k is positive.
k**(102/35)
Simplify ((w*w/(w*w**(3/5))*w*w)/w*w*w**18)**(-15) assuming w is positive.
w**(-306)
Simplify ((t**(-6)/t)**(-38/7))**(9/2) assuming t is positive.
t**171
Simplify (b**(-2))**(-2/7)/((b**7*b)/(((b*b**(-7/3)/b)/b)/b*b)) assuming b is positive.
b**(-226/21)
Simplify z**(-2/3)/z**13 assuming z is positive.
z**(-41/3)
Simplify ((u*u*u*u**(-3)*u*u)/(u/(u/(u/(u*u**8)))*u))/(u**(2/3))**48 assuming u is positive.
u**(-23)
Simplify z**(-12)*z/(z/(z*z*(z*z*z/z**(-1/9)*z)/z*z)) assuming z is positive.
z**(-53/9)
Simplify (a/(a/(a**(1/5)*a))*a*a**(1/5))**32 assuming a is positive.
a**(384/5)
Simplify (t**(-3/4)*t**(2/13))**10 assuming t is positive.
t**(-155/26)
Simplify (k/(k/(k/k**5))*k)/k*k/(k/k**(-3))*(k**(2/13)*k*k*k)/((k/((k*k*k/k**(2/9)*k)/k))/k) assuming k is positive.
k**(-125/117)
Simplify ((b/(b/b**(-1/2)))**27)**(2/63) assuming b is positive.
b**(-3/7)
Simplify i/(i**(1/8)*i)*i**(1/8) assuming i is positive.
1
Simplify (((u*(u/(u**36/u*u))/u)/u)/u)/u**(-5/4) assuming u is positive.
u**(-143/4)
Simplify l*l**(2/9)*l*l**(-39) assuming l is positive.
l**(-331/9)
Simplify ((g*g**(-3)/g*g)/(g**(-7)*g))**(-1/29) assuming g is positive.
g**(-4/29)
Simplify (u**1/u**(-3/4))/(u**(3/5)*u**5*u) assuming u is positive.
u**(-97/20)
Simplify (t**(4/15))**41 assuming t is positive.
t**(164/15)
Simplify u**11/((u/(u*u*u**(2/15)))/u) assuming u is positive.
u**(197/15)
Simplify (((u*u/u**3*u)/u*u)/(u**(2/3)/u))/((u/u**0)/(u**0*u)) assuming u is positive.
u**(1/3)
Simplify (q**(2/25)/q)/(q**(2/5)/q)*q**6/(q/(q**(-1/5)*q)*q) assuming q is positive.
q**(112/25)
Simplify ((k*k**(-18)*k)/(k/(k/k**(4/3))))**7 assuming k is positive.
k**(-364/3)
Simplify ((v**(-2))**18)**17 assuming v is positive.
v**(-612)
Simplify ((v/(v*v**0*v))/v*(v*v**(-2))/v*v)**(-23) assuming v is positive.
v**69
Simplify (v**(5/4))**(-40) assuming v is positive.
v**(-50)
Simplify (x/((x/(x/x**(-7/6))*x)/x))/x**(-19) assuming x is positive.
x**(127/6)
Simplify ((q*q*((q/(q*q/(q*q**(-9))))/q)/q)/q)**(-6/11) assuming q is positive.
q**(60/11)
Simplify (o*o**(1/2))**(-4/15)/(o**1)**(1/23) assuming o is positive.
o**(-51/115)
Simplify ((r*r**(-1/12)*r*r)/(r/r**(-1/4)))**35 assuming r is positive.
r**(175/3)
Simplify (u**(-1/5)*u/u**(-6/7))**(2/31) assuming u is positive.
u**(116/1085)
Simplify (b/(b*b**(1/12)*b)*b**(-8))**(3/29) assuming b is positive.
b**(-109/116)
Simplify (p/(p/(p*p*((p/p**(-5/4)*p)/p)/p*p)))**(-23) assuming p is positive.
p**(-391/4)
Simplify (o**(-6)*o*o/(o**5/o*o)*o*o)/((o*o*o*o/((o*o*o*o*o**0*o)/o))/o)**4 assuming o is positive.
o**(-3)
Simplify (q*q**3*q)/q**4*(q/q**(-2/7))**(-23) assuming q is positive.
q**(-200/7)
Simplify (k/k**(-1/5))**(-40) assuming k is positive.
k**(-48)
Simplify a/(a/a**(-1/3))*(a/(a/a**(2/11)))/a assuming a is positive.
a**(-38/33)
Simplify (c**(3/5))**(-12) assuming c is positive.
c**(-36/5)
Simplify c**(-1/17)/(c**(4/17)/c*c) assuming c is positive.
c**(-5/17)
Simplify (q*q**(1/3))**(2/39)*(((q/(q*(q/((q*q**(1/6))/q))/q)*q)/q*q*q)/q)/(q*q*q**(-2)*q) assuming q is positive.
q**(55/234)
Simplify (l/(l*l/l**(-2/19)))**(-24/7) assuming l is positive.
l**(72/19)
Simplify (m**(-4)*(m*m**(2/3))/m*m)/(m**0/m**(-4/7)) assuming m is positive.
m**(-61/21)
Simplify (m**(-1/3)/m**(-1/3))/(((m/(m*m*m**(3/4)*m*m))/m)/m**0) assuming m is positive.
m**(19/4)
Simplify q*q*q*q/(q**(-13/3)*q)*q*q**8 assuming q is positive.
q**(49/3)
Simplify ((f*f**(3/4)/f)/f)/f*f*(f**(-1/7)/f)/f assuming f is positive.
f**(-67/28)
Simplify (s/(s/(s/(s**(-16)/s*s))))**(3/5) assuming s is positive.
s**(51/5)
Simplify (t/(t/t**(-1)))**(1/5)*((t*t*t**(2/11)/t*t)/t)/((t*t**(5/4))/t) assuming t is positive.
t**(-59/220)
Simplify h**2*h**(2/27) assuming h is positive.
h**(56/27)
Simplify i**(-1/21)/i*(i*i/(i/(((i*i/i**0)/i*i)/i)*i))/i assuming i is positive.
i**(-22/21)
Simplify ((r**(-1))**(-5/6))**7 assuming r is positive.
r**(35/6)
Simplify q/((q/((q*q**(-7))/q*q))/q)*(q**30/q)/q assuming q is positive.
q**23
Simplify (i*i*i/(i/(i*i**(5/2)*i))*i*i*(i*i*i**(1/2))/i)/(i**(-5/3)/i**(6/7)) assuming i is positive.
i**(263/21)
Simplify (h**(-2/3)/h)**(-20/3) assuming h is positive.
h**(100/9)
Simplify (f*((f*f**4)/f)/f*f/f**(-4/5))**(-23/4) assuming f is positive.
f**(-667/20)
Simplify ((k**(1/3)*k)**40)**(28/3) assuming k is positive.
k**(4480/9)
Simplify (b/b**(2/43))**(1/5) assuming b is positive.
b**(41/215)
Simplify (o/(((o**5/o)/o)/o))**(-3/4) assuming o is positive.
o**(3/4)
Simplify (w**(-2/7)/(w*w**(1/6)))**0 assuming w is positive.
1
Simplify (n*n/n**(-2))/(n*n*n**(-5/12)*n) assuming n is positive.
n**(17/12)
Simplify (d*d**(-1))**33/(d/(d*d*d**(2/3)/d*d)*d*d*d**(-4)*d*d) assuming d is positive.
d**(5/3)
Simplify v**(-2/7)/(v*(v/(v**(3/5)*v))/v)*(v/(v*(v/v**0)/v))**(2/13) assuming v is positive.
v**(11/35)
Simplify ((a*a/a**0)/(a/(a/(a**(6/11)/a))))**(10/7) assuming a is positive.
a**(270/77)
Simplify u/(u*u/u**5)*u*u*(u*u**0)/u*u*(u/u**0*u)**(-3/2) assuming u is positive.
u**4
Simplify (n**7/n**(-5/3))**(-27) assuming n is positive.
n**(-234)
Simplify (t/(t**0*t)*t**(-5))**37 assuming t is positive.
t**(-185)
Simplify (s**(-1/3))**47/(s*s**0*s*s)**(-1/18) assuming s is positive.
s**(-31/2)
Simplify (s*s/(s*s*s/(s/(s/(((s**5/s)/s*s)/s)))*s)*s**(-4/3)/s)/(s**(-6)/(s**3/s)) assuming s is positive.
s**(20/3)
Simplify w**(-3)*w**(1/4)*w*w**(-5)*w/(w/((w/(w/(w/(w**(5/3)*w)))*w)/w)*w) assuming w is positive.
w**(-113/12)
Simplify ((g**(-1/14)/g)/g*g*g**1*g)/(((g/(g/g**(1/7)))/g)/(g/(g/(g/(g/g**(1/13)))))) assuming g is positive.
g**(339/182)
Simplify u**(-2/9)/u**(4/5)*u**0*u*u**(-2/21) assuming u is positive.
u**(-37/315)
Simplify (i/((i**0*i)/i)*i**2*i)/(i**0)**(-19) assuming i is positive.
i**4
Simplify (t**23*t)/(t/(t**(2/55)*t)) assuming t is positive.
t**(1322/55)
Simplify (m**(-1))**(8/7)*(m**(-1/4)*m*m)**31 assuming m is positive.
m**(1487/28)
Simplify q**(-4/13)/(q*((q/((((q/(q*q*q/(q/q**(-1/7))))/q)/q)/q))/q)/q) assuming q is positive.
q**(-379/91)
Simplify (f**(-3/8))**(2/85) assuming f is positive.
f**(-3/340)
Simplify (z**(-8/3)/z**(-2/19))**(-27) assuming z is positive.
z**(1314/19)
Simplify h/(h*h**(-5))*h**6*h*h**(-4/5)*h/((h*h/h**(2/5))/h*h) assuming h is positive.
h**(53/5)
Simplify (m/(m*m*m**(2/15))*m*m/m**(-1/8))/(m/m**(-2/3))**4 assuming m is positive.
m**(-227/40)
Simplify (m/(m/(m**(2/7)/m*m)))**(-45)*m**(3/4)/(m*m/(m**(4/5)*m)) assuming m is positive.
m**(-1723/140)
Simplify (r*r**3)**(-36) assuming r is positive.
r**(-144)
Simplify ((k**(2/5))**(-16/9))**(9/4) assuming k is positive.
k**(-8/5)
Simplify (i*i**(-13/2))/(i/(i/i**(-3/5))*i) assuming i is positive.
i**(-59/10)
Simplify (r**(2/9))**(4/27)*r**(-2/15)*r**(-1/3) assuming r is positive.
r**(-527/1215)
Simplify (g**(-3)/(((g**0/g)/g)/g))/((g**2*g)/g**(-2)) assuming g is positive.
g**(-5)
Simplify (j**(-2/11))**(11/8)*j/((j*j**9)/j)*j**(-1/13)/j assuming j is positive.
j**(-485/52)
Simplify ((w*w*w**6*w)/(w*w/(w*w**(-4)/w*w*w)))/(w*w**(2/5))**33 assuming w is positive.
w**(-206/5)
Simplify r**(2/153)/r**13 assuming r is positive.
r**(-1987/153)
Simplify (x/(x/(x**(-1/2)*x*x*x*x*x*x))*x)**29/(x/(x/x**2))**(1/3) assuming x is positive.
x**(1127/6)
Simplify (t**9)**(-7/9) assuming t is positive.
t**(-7)
Simplify ((k*k**19*k)/k)**(-23) assuming k is positive.
k**(-460)
Simplify (g**(3/4)*g**2)/(g**(2/5)/g**3) assuming g is positive.
g**(107/20)
Simplify (h*h**29)**(4/9) assuming h is positive.
h**(40/3)
Simplify (n**14/n)/(n/(n*n/n**(-3/8))) assuming n is positive.
n**(115/8)
Simplify i**6*i/(i*i/i**(-5/4))*i**(-3/2)*i*i**(-2/3) ass | {
"pile_set_name": "DM Mathematics"
} |
1 a factor of (47 - 53) + j + 892?
False
Let k = -219 + 212. Is (-6 - -6)/k + 50 even?
True
Let c = -20719 - -23129. Is 5 a factor of c?
True
Suppose 43 = z - 2. Suppose -4*n - w + 404 = 0, -n - z = 2*w - 139. Suppose c - 2*c = -n. Is c a multiple of 16?
False
Suppose -7*p + 12*p = -2630. Let g = 814 + p. Does 48 divide g?
True
Let s(y) = -4*y - 37. Let m be s(-10). Suppose -m*x - 2*x = -1170. Does 15 divide x?
False
Suppose -5 = -5*g, 2*g - 3*g - 121547 = -7*d. Is 120 a factor of d?
False
Suppose -4*o = 2*m - 4024, 2*m - 157*o - 4030 = -155*o. Is m a multiple of 19?
True
Let g(p) = -79*p + 1051. Is 37 a factor of g(-34)?
True
Let x = 6541 + -5281. Does 6 divide x?
True
Is -1 - 1 - (21 - (14 - -3524)) a multiple of 29?
False
Let p(g) = 2*g**2 - 31*g + 11. Let h be p(15). Is 19 a factor of -679*1*h/14?
False
Suppose -36*t + 34*t = 0. Suppose 0*c - 3*c + 6 = t, 0 = -f - 3*c. Let q = f - -110. Is 13 a factor of q?
True
Let y = 8114 + -4047. Is y a multiple of 35?
False
Suppose p - 3*p + 5*r = -17, -61 = -4*p + r. Let u = p - 36. Is (u/12)/((-6)/45)*2 a multiple of 2?
False
Let t = -13868 - -25550. Is 28 a factor of t?
False
Let k(c) = 7*c + 61. Let m be k(-9). Is 12 a factor of m - (46/(-3) - 24/(-18))?
True
Let y(t) = t**2 - 49*t + 59. Let v be y(37). Let f = v + 710. Is 13 a factor of f?
True
Suppose -2*g - 63 = 5*v - 7, v + 4*g + 22 = 0. Suppose 25*j - 34*j = -522. Let h = v + j. Is h a multiple of 24?
True
Let b = 704 - -2050. Suppose -388*m - b = -391*m. Is m a multiple of 51?
True
Suppose -3*x + 843 = -330. Let l = x + -251. Is l a multiple of 14?
True
Suppose -2*a + 3*u + 13 = 2*u, u - 15 = -5*a. Suppose -4*v - 4*q - q + 36 = 0, a*q - 28 = -3*v. Let c(n) = -n**3 + 5*n**2 + 5*n - 1. Does 7 divide c(v)?
True
Let t(u) = -2*u**3 + 82*u**2 + 60*u - 104. Does 32 divide t(39)?
True
Let m = -560 - -846. Is 72069/39 + 22/m a multiple of 84?
True
Let r = -17205 + 25746. Does 34 divide r/36 - 3/(-4)?
True
Let m be 80/60 - 16/3. Let k(t) = -9*t**3 + 5*t**2 + 10*t + 11. Is 13 a factor of k(m)?
False
Let x = -3092 - -5038. Does 3 divide x?
False
Let o = -57 + 57. Suppose o = 8*a + 11 - 3. Does 4 divide (-3)/(a + (-60)/(-65))?
False
Let i = 58267 - 40077. Is i a multiple of 214?
True
Suppose -5*w + 4*r = -1877, -119*w + 731 = -117*w + 5*r. Is w a multiple of 7?
False
Suppose 2*c - 33 = 3*a, -4*c + 16 = 4*a - 0. Suppose 2*k + 4*d = c + 25, 5*k - 113 = -3*d. Suppose 3*g = -n + k, 2*n - 3*g = -0*n + 5. Is n a multiple of 10?
True
Suppose 3*t - 107808 = -2*t + i, -i = -t + 21568. Does 35 divide t?
True
Let f be ((-4)/(-10))/(436/40 - 11). Is 6 a factor of ((-822)/(-24) + f)/(1/12)?
False
Does 80 divide (-230)/(-3)*22110/275 + -13?
False
Suppose 5*y - 209095 = -5*n, 154*n = y + 150*n - 41824. Does 205 divide y?
True
Does 42 divide 420/1470 - (-28516)/7?
True
Suppose -17*v = 2*v - 71630. Is v a multiple of 29?
True
Let q be (6 + 10)*(-20 - -1). Let x = q + 704. Does 40 divide x?
True
Suppose -211*s + 68*s + 69804 = -2336886. Is s a multiple of 55?
True
Let f = 6260 - 2699. Is f a multiple of 28?
False
Let q be ((-21)/(147/(-1400)))/(-1). Let o = 386 + q. Is 62 a factor of o?
True
Does 88 divide (0 - (-4)/20 - (-155364)/55) + 3?
False
Suppose 7*z - 2*k - 15 = 4*z, 0 = 4*z - 3*k - 20. Suppose -g = -3*t - 335, 3*t - 2621 + 874 = -z*g. Is g a multiple of 29?
False
Let z = 27 + -21. Let s(u) = u**3 - 7*u**2 + 7*u - 6. Let r be s(z). Suppose r = -q + 51 + 18. Is q a multiple of 13?
False
Suppose 2*a - 283 = 5*y, 0 = 5*a + 5 - 0. Let z = 82 + y. Is 5 a factor of z?
True
Let v(c) be the second derivative of 5*c**4/12 - c**3/3 + c**2 + 13*c. Let h be v(3). Let m = h + 49. Is 30 a factor of m?
True
Suppose -64*t + 46277 = -118*t + 61*t. Does 7 divide t?
False
Let m(i) = 6 - 161*i**3 - 4*i - 5*i**2 + 0*i + 160*i**3. Let y be m(-4). Does 7 divide (4/y)/(((-78)/(-216))/13)?
False
Does 10 divide 1/(2/6) - (-3072 + -8)?
False
Let o be (-3 - (-9 - -3))/(3/(-46)). Let w be o/(-2)*60/(-15). Let a = w + 129. Is 6 a factor of a?
False
Let t(l) = -l**2 - 7*l - 269. Let j be t(0). Let n = j - -599. Is 10 a factor of n?
True
Let o(w) = -w**3 + w**2 + w - 1. Suppose q + 30 = 3*q. Let l(a) = a**2 - 15*a - 3. Let s be l(q). Is o(s) a multiple of 16?
True
Let d(h) = h - 10 - 17 + 35 - 30*h. Suppose 15*o + 20 = 10*o. Is d(o) a multiple of 19?
False
Let m(p) = 2*p**3 - p**2 + p + 1. Let c be (-2)/(3/((-9)/6)). Let j be m(c). Suppose 3*l - j*q + 4*q = 248, l - 92 = 2*q. Is l a multiple of 21?
True
Suppose 313*q - 319*q + 36 = 0. Suppose 2*b - 612 = -2*r, -q*r - 2*b = -9*r + 893. Does 10 divide r?
False
Let l(w) = -56*w - 15. Let r be l(-2). Let h = r + -62. Is h a multiple of 35?
True
Suppose 68 = -8*g + 20. Suppose 0*r + 4*i = -r + 14, -3*i = 3*r - 6. Is 33 a factor of (4 + r + (-27)/g)*18?
False
Suppose 13 = -22*w - 9. Let a(l) be the first derivative of -39*l**4/2 + l**3/3 + 5*l**2/2 + 4*l + 13. Is 13 a factor of a(w)?
True
Let n = 162 + -178. Does 17 divide 2 - (-4)/(n/(-196))?
True
Let h = -33067 - -46798. Is 59 a factor of h?
False
Let q(v) = v - 17. Let f be q(22). Suppose 37 = f*y - 18. Let m = y + 28. Is 13 a factor of m?
True
Let m(i) = 3*i**2 - 9*i + 3. Suppose 40 = 6*h - 26*h. Is m(h) even?
False
Suppose 2*g + 3*a - 5 = 0, -3*g - 12 + 19 = 5*a. Suppose -g*h = -2*y + 4230, 281 + 1828 = y - 4*h. Does 21 divide y?
True
Let n = -8395 - -13036. Is 16 a factor of n?
False
Suppose i - 3*i + 3*r = -1, 0 = 2*i + 3*r - 7. Let q(u) = -12*u - 5. Let j be q(i). Let g = j - -33. Is g a multiple of 3?
False
Let c(p) = -175*p - 2322. Is 42 a factor of c(-44)?
False
Let j be ((-4038)/(-12) - 0) + 3/6. Let b = j + -177. Is b a multiple of 20?
True
Is 5 + (15555 - (3 - 16)) a multiple of 134?
False
Let f = -14904 - -21168. Is f a multiple of 116?
True
Suppose 45*p - 43335 - 52020 = 0. Does 10 divide p?
False
Let m(c) = 1784*c**2 - 157*c - 482. Is m(-3) a multiple of 26?
False
Let w be (16/144)/((-2)/6)*0. Suppose w = 38*x - 28*x - 640. Does 16 divide x?
True
Let a(j) be the third derivative of j**4 - 57*j**3/2 - 186*j**2. Is 9 a factor of a(12)?
True
Let d = -3712 - -3872. Is d a multiple of 5?
True
Let t(q) = 553*q**2 + 26*q - 33. Does 116 divide t(6)?
False
Let i = 2253 + -1020. Let a = -8 + i. Suppose 5*c + 2*c = a. Does 19 divide c?
False
Let l = 90014 + -61124. Does 24 divide l?
False
Suppose 4*o - 19 = 9. Suppose -17 - 25 = o*k. Does 7 divide 4/6*3/k*-117?
False
Let x(i) be the first derivative of 17*i**3/3 - 81. Is x(-2) a multiple of 2?
True
Let u be (-6)/(-8)*(364/21 - 12). Suppose -741 = u*f - 3173. Is 38 a factor of f?
True
Suppose -4*n - 5*x + 26778 = -47812, 0 = -2*n + x + 37274. Is n a multiple of 20?
True
Let y(i) = -i**3 + 27*i**2 + 65*i + 33. Let r be y(29). Let a = -94 + r. Does 3 divide a?
False
Let d = -4339 - -6092. Let g = -934 + d. Is 12 a factor of g/12 + 4/(-16)?
False
Suppose 3*r + 3*f = 4983, 1284*r = 1287*r + 4*f - 4978. Is r a multiple of 6?
False
Suppose 10*d - 7223040 = -72*d - 83*d. Is d a multiple of 12?
True
Let m(l) = 14*l**2 + 8*l - 24. Let u be m(-11). Let d = 4237 - u. Suppose 4*a - d = -11*a. Is 24 a factor of a?
False
Suppose 2*h - 656 - 3998 = 0. Is h a multiple of 14?
False
Let v = -85197 - -119941. Is v a multiple of 86?
True
Suppose -26*v + 25900 = 24*v. Let i = 2023 - v. Is i a multiple of 22?
False
Let q(t) = -5*t**3 + 12*t**2 - 49*t - 63. Let b(w) = 6*w**3 - 11*w**2 + 50*w + 63. Let j(n) = 6*b(n) + 7*q(n). Is 18 a factor of j(-19)?
False
Suppose -9*g + 39*g = 582781 + 331559. Is g a multiple of 49?
True
Let j(x) = 4*x**2 - 51*x - 62. Let h be j(36). Suppose 83*v - h = 21*v. Does 5 divide v?
False
Suppose -x + 4 = 2*b - 2, 3*x = 4*b - 12. Suppose -28 = -b*w + w. Is 7 a factor of w?
True
Let h = 11 - 11. Let n be (-4)/(0 + 1) - h. Let i(o) = -10*o + 14. Is 6 a factor of i(n)?
True
Let b = 83 + -44. Let u = b + 41. Is u a multiple of 8?
True
Let a(u) be the third derivative of u**6/180 + u**5/20 + u**4/8 - u**3/3 + 30*u**2. Let s(f) be the second derivative of a(f). Does 3 divide s(6)?
True
Let u(f) = 13*f**2 - 66*f - 18. Is 18 a factor of u(-12)?
True
Let d = -25919 - -42103. Does 23 divide 2/11 + d/44?
True
Let s = -299 + 143. Does 5 divide (s/(-30))/((-1)/(-25))?
True
Does 54 divide -5840*(2/(-7))/((-120)/(-210))?
False
Let g(f) = -3*f**3 + 5*f* | {
"pile_set_name": "DM Mathematics"
} |
for r.
-2
Let r be (-2)/(-4) + 15/10. Let l be (4 - (-9)/(-3))*r. Solve -z + 0*z - l = 0 for z.
-2
Let o(h) be the first derivative of 3*h**2/2 - 12*h - 8. Let p be o(5). Let y(x) = 2*x**2 + 3*x + 3. Let n be y(-3). Solve -6*r + p*r - n = 0 for r.
-4
Let d = 34 - 30. Solve 6 + 14 = -d*o for o.
-5
Let k = -1 + 3. Solve k*t = -3 - 1 for t.
-2
Suppose -5*l - 3*i = -7, -5*l + 3*i + 14 - 1 = 0. Solve 6*f - l*f + 16 = 0 for f.
-4
Suppose -3*f + 12 + 6 = 0. Solve -5*r + f - 1 = 0 for r.
1
Suppose -3*z - x - 3 = -15, -3*x = 9. Solve z = -2*y + 3 for y.
-1
Suppose 89*o = 90*o - 1. Solve -r = -o - 2 for r.
3
Let b be 84/(-48)*(-7 - 1). Solve -39 = 5*f - b for f.
-5
Let g(s) = -2*s**2 + 10*s + 6. Let n be g(5). Solve 9 = -n*p + 3*p for p.
-3
Suppose 3*y - 10 = 23. Let r = -16 + y. Let m = -5 - r. Solve m = 5*f - 5 - 5 for f.
2
Let p = 14 - 6. Let y be 6 - 6 - p/(-2). Solve -2*s + 4 = -y*s for s.
-2
Let a(m) = -m**2 - 4*m - 3. Suppose -3*y = -2*y + 3*o + 12, -4*o = 12. Let w be a(y). Solve 2*c - 5*c = w for c.
0
Suppose 0 = 2*l + 3*z - 15, -5*l = -z - 12 - 0. Solve 6 + l = -3*k for k.
-3
Suppose 3 = 2*u + 3*a + 5, 13 = 5*u + 3*a. Suppose 0 = 3*y + 2*f - 13, y - 5*y = f - 14. Solve -4*q + y*q = u for q.
-5
Let o be (0 + 0)*(-2 - -3)/1. Solve -2*b - 6 = -o*b for b.
-3
Suppose -4*m - 5 = -5*m. Let f(s) = s**2 + 6*s - 9. Let u be f(-7). Let i = m + u. Solve -3*p + 0 + i = 0 for p.
1
Suppose 34 = 2*c + 5*a, 2*a - 22 = -2*c - 0*c. Let q = c - 4. Suppose -z = q*b + 2*z - 30, 2*b - 5*z - 13 = 0. Solve 3*u = -3 - b for u.
-4
Suppose 0 = -0*j + j - 5. Solve -6*x = -x + j for x.
-1
Let o be 6 - (-7 - -5 - -4). Solve -o*x + 10 = -2*x for x.
5
Suppose 4*h = -2*d + 18, -3*d + 18 = 3*h - 0*h. Let m(r) = -7*r + 5*r**3 + 1 + 5 - 6*r**h + 7*r**2. Let y be m(6). Solve y = -7*n + 3*n for n.
0
Let a = -183 - -186. Solve 0 = -a*k + 4 - 7 for k.
-1
Let y = -47 - -47. Solve -2*v + 5*v - 3 = y for v.
1
Let v(i) = -i**3 - i**2 + 5*i + 5. Let s be v(-3). Solve 3*p = s*p + 5 for p.
-1
Let x(d) = -d**2 + 1. Let n be x(1). Let w be (1/(-3))/(1/(-9)). Let k(i) = -i**2 - 7*i - 7. Let q be k(-5). Solve n*h + q = w*h for h.
1
Suppose -5*u + 60 = -u. Let f be -2*3/(-6)*3. Suppose 0 = -5*w - 0*w - 25, u = 3*v + f*w. Solve -p - 4*p = v for p.
-2
Let c(f) be the second derivative of f**4/12 - f**2 + 2*f. Let w be c(5). Suppose -2*g + 5*i + 0 = -w, -29 = -5*g + 3*i. Solve g + 0 = z for z.
4
Let k be (4/6)/((-1)/(-3)). Let g be 0 + 1 + (10 - 9). Let m = k - g. Solve m = -i + 1 - 0 for i.
1
Let k = 2 - -1. Solve 0 = -2*l + k*l for l.
0
Suppose 3*c = 5*c - 4. Suppose 3*h = 15 + 15. Suppose -3*a + h = -3*p - 8, 3*a - 22 = 4*p. Solve -c*l = a*l + 16 for l.
-4
Let x(j) = j - 1. Let s be x(4). Let w = -7 - -9. Suppose 12 = q - 5*y, 7*q = 4*q - w*y + 2. Solve s*o = q*o - 3 for o.
-3
Let w(x) = -2*x**3 + 4*x**2 - 2*x. Suppose -3*s = -3*r + 2*s - 19, -2*s + 4 = -3*r. Let b be w(r). Let v be (-8)/(2 + b)*5. Solve -6*n - v = -2*n for n.
-5
Let g(k) = -k**2 + 5*k - 1. Let u be g(4). Let r be (-34)/170 + (-2)/(-10) + 12. Solve -v - u*v = r for v.
-3
Let n(w) = 5*w - 15. Let l be n(5). Solve -l = 5*g + 5 for g.
-3
Let a be (-2)/(-12) + 2/(-12). Suppose h - 4*h + 42 = a. Solve -h + 4 = -2*v for v.
5
Let n = -8 - -12. Let f be (1/(-1))/((-3)/18). Suppose u + 10 = f*u. Solve u*h = n + 6 for h.
5
Let t = -92 - -96. Solve -u - 1 = -t for u.
3
Suppose -3*s + r = -3, -2*s - 3*s + 2*r = -6. Let q = s - -2. Solve 2*h - q = 2 for h.
2
Suppose 2*g = g + 10. Solve -h + g = h for h.
5
Let c(p) = p**3 + 2*p**2 + p + 3. Let f be c(-3). Let w be (-3)/(-6) - f/2. Solve 3*a - 10 = w for a.
5
Let n(i) = 14*i - 1. Suppose -2 + 0 = 2*k. Let b be n(k). Let x = b + 25. Solve -4*f + 10 = -x for f.
5
Let l be (-3 + 8)*(-2)/5. Let u be (-24)/(-9)*(-3)/l. Solve u*j + 12 = j for j.
-4
Let r(l) be the first derivative of -l**3/3 + 4*l**2 + 1. Let y be r(8). Solve y*k = -k + 4 for k.
4
Let z(f) be the first derivative of -f**2/2 + 9*f + 1. Let c be z(-7). Solve c + 0 = 4*i for i.
4
Let t = -6 - -10. Let h(i) = 2*i - 6. Let w be h(6). Let a be (t/3)/(2/w). Solve -a*r = r - 25 for r.
5
Suppose 20 = 4*j - 4*h, j - 3*h + 0*h = 11. Let b = 8 - 3. Solve 3 = j*l - b*l for l.
-1
Let r(x) = x**2 + 4*x + 3. Let q be r(-4). Suppose s = -0*s + q. Let p be 2 + (-1 + 7 - -1). Solve -3*d + s = -p for d.
4
Let o = -32 + 32. Solve o*z = -4*z for z.
0
Let c be (-21)/(-35) + 44/10. Let p = 0 + c. Solve 0 = -4*v + 11 + p for v.
4
Let p(g) = g**2 - 3*g. Let a be p(5). Suppose 0 = 2*o - a - 2. Suppose -3*x = -0*x - o. Solve -4 = -u - x for u.
2
Let a = -10 + 15. Let y(n) = 5*n**2 - 12*n - 8. Let l(c) = 4*c**2 - 11*c - 7. Let u(o) = a*y(o) - 6*l(o). Let s be u(-7). Solve -3*j = -6*j - s for j.
-3
Let b = 6 + -3. Suppose 5 = -2*s + b*s. Suppose 5*d + s = 80. Solve -d = -q - 4*q for q.
3
Suppose -8 = 2*w + 4*o, o - 3*o = 2*w. Solve c - 3 = -w for c.
-1
Let v(i) = 2*i - 21. Let f be v(12). Solve y - f*y + 10 = 0 for y.
5
Suppose 21 = 4*y + 5. Solve -j - j = -y for j.
2
Suppose -4*f + 0*f - 16 = 0. Let t = f + 8. Solve 16 + t = -4*k for k.
-5
Suppose 0 = b - 6 - 0. Let r be (8/(-6))/((-2)/b). Suppose -r*u = -t - 14, -3*u + 5*u = -4*t - 2. Solve 0 = -0*p - p - u for p.
-3
Let j(a) = 3*a**2 - 5*a + 2. Let l be j(4). Suppose -2*t - t = -x - l, x + 25 = 2*t. Let u be -3*-4*x/(-9). Solve u = 4*f + f for f.
4
Let g(s) = s**3 - 4*s**2 + s - 4. Suppose 4*t - 21 = -5. Let i be g(t). Solve -16 = -i*w - 4*w for w.
4
Suppose 5*l + 17 = -f + 3*f, f - 13 = l. Let t be (0 + 6)/(2/5). Let q = -11 + t. Solve -q*p = -0*p - f for p.
4
Let k(n) = -n - 3. Let d be k(-7). Let l = -101 + 101. Solve -2*f + l + d = 0 for f.
2
Let t(i) = i**2 - i + 1. Let r be t(2). Suppose -r = x - 13. Solve 9*k - 4*k = -x for k.
-2
Let v = -9 - -5. Let k(l) = l**3 + 3*l**2 - 4*l + 3. Let i be k(v). Solve -3 = 3*m + i for m.
-2
Let c(t) = -t**2 + 4*t - 2. Let d be c(2). Suppose 0 = -4*h + 2*h - 3*p + 17, -2*p + 6 = 0. Suppose 3*u - 47 = -17. Solve d*r - h*r = -u for r.
5
Let t be -12*((-2 - -1) + 0). Suppose z = -3*z - 4*y - 16, 20 = -3*z - 5*y. Solve -3*f + z*f = -t for f.
4
Let z(o) = o**3 - o**2 + o - 2. Let b be z(2). Suppose 16 + 4 = -b*p. Let r = 7 + p. Solve -r*f = -5*f + 15 for f.
5
Let r(n) = -4*n**2 + 4*n + 8. Let a(s) = -3*s**2 + 4*s + 7. Let d(p) = 5*a(p) - 4*r(p). Let u be d(-5). Solve u = 3*t - 1 for t.
3
Let d be (-1)/2 - (-11)/2. Suppose 4*z - 25 = -t + 6, 0 = -2*z - 3*t + 23. Suppose 3*r - z = 5. Solve 0 = -3*j + r*j - d for j.
5
Let i(x) = x + 4. Let q be (-1)/(0 + -2)*-6. Let m be i(q). Solve 4 = -5*k - m for k.
-1
Suppose 0 = 2*n - 3*n - 4*i + 11, 5*i = -5*n + 25. Let b be 1/3*(n - -6). Suppose -3*a = -b*s - 9, s + 4*a - 12 = 2*a. Solve -s*j + 1 = -3*j for j.
-1
Let t(o) = -3*o**3 + 4*o**3 - 1 + 3 + 0*o**3. Let k be t(0). Solve r - 3 = -k*r for r.
1
Suppose -3*a - 2*l = -5*l - 9, -3*a + l + 11 = 0. Solve a = 3*f - 2 for f.
2
Let s be -1 - -8*1/2. Solve 2 = -h + s*h for h.
1
Let o be (26 - -2)*12/14. Let b = o - 21. Solve 2*i = -b - 3 for i.
-3
Suppose 3*s = 5 - 2. Let b be (s/2)/((-4)/(-8)). Let q(g) = g**2 - 4*g + 4. Let f be q(4). Solve -f*d + b + 11 = 0 for d.
3
Let n(t) = 0 - 1 - 1 + 0 + t. Let v be n(7). Suppose -v*w + 0*w - 10 = 5*k, 15 = -5*w. Solve 3*z = k + 2 for z.
1
Suppose 13*i - 18 = 14*i. Let r = i - -35. Solve 3 + r = 5*l for l.
4
Let c = -15 + 8. Let y be 8 + c + 0/1. Solve -7 = 2*o - y for o.
-3
Let j(w) = w**3 + 5*w**2 + w + 5. Let c be j(-5). Let p = -2 + 5. Suppose -p*a - 1 = -4*a. Solve -t + 6 - a = c for t.
5
Let q be (-15)/2*32/(-48). Solve -q*g = 18 + 7 for g.
-5
Let z(s) = 5*s - 2. Let r(q) = -6*q + 1. Let t(v) = -4*r(v) - 5*z(v). Let a be t(3). Solve 6*c = 3*c + a for c.
1
Suppose -33 = -4*z - 5. Suppose -d = -5*t + 14, -4*t - 4*d = -z*d - 20. Suppose -5*h + t = -23. Solve 4 - 9 = -h*j for j.
1
Let b be 2*(4 - 2)/1. Solve b*x - 6*x + 4 = 0 for x.
2
Suppose 5*d = 5*c - 30, d - 16 = -2*c + 5*d. Solve 0*a + 20 = -c*a for a.
-5
Let l = 18 - 11. Suppose -16 = -2*r - 2*v + l*v, -4 = 2*v. Solve 0*k = -r*k for k.
0
Suppose 3*h - 47 + 35 = 0. Solve s + h = -s for s.
-2
Let s(u) = u + 8. Let r be s(-3). Solve -r = -5*p - 0 for p.
1
Let h = -5 + 5. Solve 0 = -h*o - o + 2 for o.
2
Let b(t) = -2*t - 8. Let g be b(5). Let r be (7/21)/((-2)/g). Solve f = r*f + 2 for f.
| {
"pile_set_name": "DM Mathematics"
} |
ve -1 - r = -m for m.
3
Let h = 14 - 12. Suppose 4*y + 4*f = 16, -2*y - 3*f = -3 - 6. Solve y = b + h*b for b.
1
Suppose -7 - 5 = -4*d. Solve -2*y + d = -1 for y.
2
Suppose 3*z - z - 14 = 0. Let u(f) = -f**2 + 6*f - 2*f**2 + 2*f**2 + 10. Let r be u(z). Solve -2*x - 20 = r*x for x.
-4
Let k(g) = -4*g - 16. Let c be k(-4). Solve c = -s - 0 - 3 for s.
-3
Let i = 13 - 9. Solve -i*g + 4 = -0*g for g.
1
Suppose -27 = -j + 4*u, 2*j - 26 = u - 7. Suppose 0*n - j = 4*b + 3*n, -2*b = -3*n + 17. Let m be 6/(-9)*(b + 1). Solve -3*k - m = 7 for k.
-3
Let x(y) = -y**2 - 6*y + 2. Let p be (-2)/(-2 - (-7)/3). Let d be x(p). Solve z + 15 = -d*z for z.
-5
Let f(a) = a**2 + 5*a + 1. Let j be f(-5). Let k be ((-10*j)/1)/(-2). Solve 0 - 10 = k*s for s.
-2
Let w be 5 - 2/(4 - 2). Solve -w*y + 16 + 4 = 0 for y.
5
Let b be 3/(-5) - 84/(-15). Solve 0 = -b*j + 13 + 2 for j.
3
Let u = 2 - -1. Let z be -5 + 4 + (0 - -4). Solve 0 = -z*y - 3 - u for y.
-2
Suppose -2*r - 5*a = -r + 19, 3*a + 21 = r. Suppose r + 4 = 5*w. Solve -2 = -0*g - w*g for g.
1
Let v(b) = -b**3 - 4*b**2 - b + 2. Let z be v(-4). Solve -p + 1 - z = 0 for p.
-5
Let d = 61 + -32. Suppose 5*g - d = -4. Suppose -4*p = -2*p - 2. Solve 0 = -g*x - 24 - p for x.
-5
Suppose 5*i = -t + 28, 2*i + 0*i + 4*t = 22. Solve -i*u = -0*u for u.
0
Suppose 3*b = 8*b + 990. Let k be b/(-55) + 3/(-5). Solve -k*p + 8 = p for p.
2
Let v = -111 - -113. Solve -i - 6 = -v for i.
-4
Let w(l) = -l + 7. Let q be w(4). Suppose n = -q*n + 12. Suppose n*b + 15 = 39. Solve b*v = 3*v + 20 for v.
4
Let k(r) = r**3 + 15*r**2 - r - 11. Let p be k(-15). Solve -2*q - p = 2*q for q.
-1
Suppose 4*d = 2*d + 6. Solve 0*z = d*z for z.
0
Suppose 5*g - a = -3*a - 45, g - 8 = 3*a. Let s = g - -12. Suppose s*n = 2*c + 3, -c + 5*c - 3*n - 1 = 0. Solve 0 = -2*b - 1 - c for b.
-1
Suppose 2*w = 5*v + 108, 2*v - 5*v = -3*w + 72. Let h be 1/4 + (-55)/v. Let u(f) = f**2 + 5*f - 4. Let p be u(-6). Solve -h*s - 3 = -p*s for s.
-3
Let c = 9 + -5. Let p be 3*-2*1/3. Let y = -2 - p. Solve y = t + c*t - 15 for t.
3
Let z be (16/3)/(14/21). Let a = 11 - z. Solve -a*h + 2*h - 5 = 0 for h.
-5
Suppose 2*x + 0 = 4. Let j = x - -4. Let z = 9 - j. Solve 0 = z*t + 3 for t.
-1
Let j be (-88)/(-3) + 3/(-9). Suppose 5 - j = -3*w - 3*h, 5*w + 3*h = 30. Solve 1 - 7 = -w*s for s.
2
Let b = -9 + 19. Suppose 10*c = 8*c + b. Solve -c + 0 = -5*n for n.
1
Let j be (-3 - 90/(-3))*-1. Let q be 30/4*(-18)/j. Solve -q = 2*t + 3 for t.
-4
Let p = -11 + 14. Solve h = -2*h - p for h.
-1
Suppose 11 = 5*w - p, -2*w - 3*p + 26 = 2*p. Solve -w*t = -2*t - 5 for t.
5
Suppose -i - 3 = -11. Let g(a) = 5*a - 1. Let j(o) = 2*o. Let l(q) = 3*g(q) - 7*j(q). Let f be l(i). Solve 2*d + f = 15 for d.
5
Suppose 4*l - l = 9. Solve 4*s - s + l = 0 for s.
-1
Let d(k) = -9*k + 56. Let z be d(6). Solve -z*y - y = 0 for y.
0
Let p be ((-6)/(-3))/(-1 - -2). Solve -5 = -q + p*q for q.
-5
Suppose 0 = -0*j - 2*j + 32. Suppose 4*q - j = 2*q. Solve -5*v = q - 3 for v.
-1
Let t = 7 - 4. Suppose 3*f = 3*v + 33, v = -f - 0*v + 1. Solve f = -z + t*z for z.
3
Let q be (-16)/(-10) - 4/(-10). Let i be 2/(q*3/6). Solve -i - 3 = u for u.
-5
Let n be 8/20 + 24/15. Let w(r) = 3 + 2 - n + r - 6. Let m be w(7). Solve 5*i + 11 + m = 0 for i.
-3
Suppose 0 = z - 0*z + 4*j, j + 9 = 2*z. Solve -z*n = 13 + 7 for n.
-5
Suppose c - 2*c + 14 = -2*s, -2*c + 2*s = -22. Solve 2*y = -0*y - c for y.
-4
Suppose -5*p + 4 = 3*j, 2*p = 4*p + 3*j + 2. Solve -p*l = -0*l - 6 for l.
3
Let n(t) = -t**3 + 2*t**2 + t - 2. Suppose b = 3*c - 10, 4 = -5*c + 2*b + 22. Let a be n(c). Solve -10 = 5*l - a for l.
-2
Suppose 0 = 6*m - 7*m + 3. Solve -m*u = -u + 4 for u.
-2
Let k(d) = -d**3 + 4*d**2 - 4*d + 2. Let q be k(2). Solve -3*n = -q*n for n.
0
Let z = 16 + 4. Solve 6*r - z = r for r.
4
Let k = -18 - -23. Solve k*a - 8*a = -3 for a.
1
Let z = -5 - -1. Let x = z - -9. Solve 3 = -x*g + 2*g for g.
-1
Let u = -56 + 61. Solve x = u*x for x.
0
Suppose -5*a - 6 = -3*r + 23, -2*r + 2*a = -14. Let v be 3/(-21) - 15/(-7). Solve y = r*y + v for y.
-1
Let s be 0/(2/(-1 - 1)). Let k = 29 + -25. Solve p + k = -s*p for p.
-4
Let i(r) = r + 8. Let m be (-4)/(4/5)*1. Let x be i(m). Let g(l) = l**2 + 1. Let c be g(1). Solve -c*v = v - x for v.
1
Suppose -3*g - 3*h + 30 = 0, -4*g - h + 13 = -15. Let q(k) = -k**3 - 4*k**2 + 5*k. Let l be q(-5). Solve l = -g*x + x + 10 for x.
2
Let c be (33/(-6))/((-1)/(-2)*-1). Let t(p) = -p. Let y be t(-4). Suppose 16 = y*n + 2*r, -r - 2*r - 31 = -5*n. Solve c = -n*g - 4 for g.
-3
Let r = 19 + -4. Let y = -7 + r. Solve 2*m + y + 0 = 0 for m.
-4
Let k = 1 - 1. Let m be (-21)/(-3) - 2 - 0. Let p = k + m. Solve p*v - 20 = 5 for v.
5
Let z = -2 - 13. Let y be 36/z*5/(-2). Solve -4*s + s = -y for s.
2
Suppose 0 = 2*l - 3*v - 10, -8 = -3*l - 0*l + v. Suppose -l*u + j - 12 = -2*j, 2*u + j + 20 = 0. Let f be 2/(((-30)/u)/5). Solve 2*d + 20 = -f*d for d.
-4
Let p(n) = -n**2 + 2*n + 3. Let k be p(0). Suppose -2*j = -4*j + 4*u, -2*u = j - 16. Solve -a + k*a = -j for a.
-4
Let s(t) = -11*t - 6. Let d be s(-2). Suppose -a - d = -5*a. Solve -2 = l - a for l.
2
Let t(n) = 6*n + 91. Let v(b) = -b - 18. Let y(p) = -2*t(p) - 11*v(p). Let a be y(16). Solve a*z + 4 = -z for z.
-4
Suppose 5*c = -17 - 3. Let w(t) = -2*t - 3. Let y be w(c). Let l be (-102)/(-27) + 8/36. Solve -d - l*d = -y for d.
1
Let q be 2/2*0/(1 - 2). Solve 2*d + 2*d - 8 = q for d.
2
Suppose 0 = -d + 2*q + 2 - 7, -3*q + 18 = 2*d. Solve -5*k + d*k = 0 for k.
0
Let y = -18 - -28. Let l be y*(5 - 3 - 0). Solve 2*g - l = -2*g for g.
5
Let p be 60/12 + 6/(-2). Let y = 4 + p. Solve 2*k = -k + y for k.
2
Let t(k) = -k**3 + 6*k**2 - 5*k - 2. Let v be t(6). Let p = -23 - v. Solve 3*w = -0*w + p for w.
3
Suppose -v + p - 1 = -4*v, 0 = 4*p + 20. Suppose -v*f = -10 - 10. Suppose 3*o + 4*t + 4 = 19, f = 2*o - 3*t. Solve o = -0*k - k for k.
-5
Let a(r) = r**2 + 6*r + 5. Suppose -2*t - p = 23 - 7, -3*p = 12. Let f be a(t). Suppose -3*j - 3*o + 9 = -3, 3*j + 12 = f*o. Solve -j = -2*u + 9 for u.
5
Let f(k) = -k**3 + 14*k**2 - 12*k - 7. Let i be f(13). Solve r = -r - i for r.
-3
Let p = 6 + -2. Let s be 2*(10/p - 0). Solve -20 = -3*x - s for x.
5
Let c = 54 + -52. Solve c*m + 10 = -3*m for m.
-2
Let g = -5 + 8. Suppose -g*q = -0*q - v + 2, -5*q + 5*v = 10. Solve -4*l + 6*l + 4 = q for l.
-2
Let b = 0 - 0. Let q be (25 + -21)*(-50)/(-8). Suppose -2*l + 6*l - 23 = -p, -16 = -2*l - 2*p. Solve l*o - q = -b*o for o.
5
Let k = 52 - 49. Solve -c - 2*c = k for c.
-1
Suppose 5*d + 4 = 4*f - 8, 9 = -2*d + 3*f. Let a be d - 2*6/(-3). Solve a*v - 2 = 2 for v.
1
Let g be (-5)/15 + 2/6. Suppose 0 = 4*v - 2*r + 26, 2*v + 11 = -g*v - r. Let t be v/15 + (-14)/(-10). Solve -t = k - 5 for k.
4
Let t(s) = 2*s - 8. Let u be t(4). Solve u = -6*d + d - 25 for d.
-5
Let h = -83 - -85. Solve -4*u = -h*u for u.
0
Suppose 9*a - 5*a - 8 = 0. Solve a*p = 6*p + 12 for p.
-3
Let y = 4 + -6. Let z be (4/14)/(y/(-14)). Suppose -q + 3*n + 21 = 0, n - 2*n = z*q - 14. Solve 4*b - q = b for b.
3
Let u(s) = 2*s**2 + 2*s + 1. Let h be u(-2). Let m(j) = -j**3 - 8*j**2 - 7*j. Let t be m(-7). Let z = h + t. Solve -z*l + 7 - 22 = 0 for l.
-3
Let w(o) = 6*o**2 + o + 1. Suppose 5*y - 19 = a, -4*y - 2*a + 3 = -1. Let i be (-1)/(3/9*y). Let n be w(i). Solve 14 = -5*r - n for r.
-4
Let o(y) = y**3 - 9*y**2 - 9*y - 7. Let v be o(10). Suppose v*m - 43 = -1. Solve -4*j - m = 6 for j.
-5
Let r = 60 - 58. Solve -6*n = -r*n for n.
0
Suppose -4*h + o = -20, 0*h + 5*o - 10 = -2*h. Solve h*j = 22 + 3 for j.
5
Let k be 0 - 1 - 22/2. Let t be k/66 - (-92)/22. Solve -x = t*x - 10 for x.
2
Suppose -9*l + 5*l + 4 = p, 0 = -3*l + 3. Solve 2*z + 2*z - 4 = p for z.
1
Suppose -o + 20 = 4*o. Solve -3*l + o = l for l.
1
Let n = -29 + 32. Solve -i - 4 = -n*i for i.
2
Let s(w) = -w**2 - 11*w - 7. Let a be s(-9). Suppose -16 = -3*m + a. Suppose 4*y - y - m = 0. Solve -y*g + 10 = 2*g for g.
2
Let y(k) = k + 13. Let b = -15 - -5. Let o be y(b). Solve v + o - 1 = 0 for v.
-2
Let z(h) = -2*h - 10. Let d be z(-5). Solve -v - 2*v - 3 = d for v.
-1
Suppose -4*k + 5*k - 4 = 0. Suppose -3*s + k = s. Solve f - 2 = -s for f.
1
Let c = -2 + 3. Let p be (c - 2)*(3 + -5). Solve f = -p*f for f.
0
Suppose c - 4*r + 0 = 8, -5*r = c + 1. Suppose 0 = -c*h + 6*h. Solve h = -2*q + q for q.
0
Let a | {
"pile_set_name": "DM Mathematics"
} |
(k) = -2*k. Let z(p) = -31323*p. What is z(n(u))?
62646*u
Let g(c) = 7*c**2. Let m(k) = 19*k. Calculate m(g(h)).
133*h**2
Let v be (-26)/(-7) - 6/(-21). Let o be (2 + (0 - 2))/((-1)/1). Let h(g) = -4 + o*g + g + v. Let x(k) = -k**2. Determine h(x(i)).
-i**2
Let s(l) = -l. Let m(o) be the second derivative of 31*o**4/12 + 18*o. Give m(s(d)).
31*d**2
Let q(a) = 23*a. Let s(m) = -29*m - 2. Give s(q(w)).
-667*w - 2
Let y(p) = 9*p. Let i(k) = -9*k. Calculate i(y(h)).
-81*h
Let w(d) = 2*d - 20*d - 17*d + 7*d. Let x(f) = 3*f**2. Determine x(w(g)).
2352*g**2
Let r(z) = 4*z. Let w(j) = 56*j. Give r(w(u)).
224*u
Suppose 0 = -3*t - u - 18, -4*u = -2*t - 0 - 12. Let d(s) = -2*s - 7. Let r be d(t). Let h(l) = -r + 5 - 2*l**2. Let k(b) = -b. Calculate k(h(i)).
2*i**2
Let b be (2 - 4)*-1*2. Let g = -6 + 8. Let d(h) = 4 - b + 3*h**g. Let l(f) = f. Determine d(l(j)).
3*j**2
Let m(g) = 55*g**2 - 2*g. Let i(b) = -7*b. What is i(m(x))?
-385*x**2 + 14*x
Let o(l) = -2*l**2. Let w(f) be the second derivative of f**4/12 - 14*f. Give w(o(x)).
4*x**4
Let q(x) = 2*x. Let v(k) = -11769*k. Determine v(q(i)).
-23538*i
Let o be ((-2)/(-4))/((-1)/(-8)). Let v(a) = -4 + 3*a + o. Let k(m) = -m**2. Give k(v(s)).
-9*s**2
Let u(j) = -23*j**2 - 9*j**2 + 41*j**2. Let l(x) = -2*x**2. Give u(l(r)).
36*r**4
Let g(b) = -86*b. Let d(c) = 7*c. Give g(d(l)).
-602*l
Let q(i) = 2*i**2. Let p(u) = u. Let w(c) be the first derivative of -5*c**2 + 5. Let o(k) = 12*p(k) + w(k). Calculate q(o(v)).
8*v**2
Let p(l) = -2 + 60*l**2 - 54*l**2 + 2. Let c(r) = 2*r. Determine c(p(o)).
12*o**2
Let u(n) be the third derivative of n**4/24 + 27*n**2. Let p(q) = -4*q**2 + 2. Give u(p(a)).
-4*a**2 + 2
Let i(r) = -2*r**2. Let m(q) = 11 - 3*q - 11 + 7*q. Give m(i(d)).
-8*d**2
Let a(q) = q. Let p(k) = 3*k**2 + 31*k + 36. Give p(a(v)).
3*v**2 + 31*v + 36
Let o(z) = -5*z. Let n(d) = 1211*d**2 + 1. What is o(n(v))?
-6055*v**2 - 5
Let s(q) = 5*q - 3*q + q - 4*q. Let g(a) = 76*a**2. What is g(s(p))?
76*p**2
Let p(r) be the third derivative of -r**5/15 + 6*r**2 + 4. Let l(j) = 4*j**2 + 0*j + 0*j. Determine l(p(f)).
64*f**4
Let v(c) = 23 + 4*c**2 - 2*c**2 - 23. Let y(i) = -74*i**2. What is y(v(h))?
-296*h**4
Let l(y) = 3*y**2. Let b(n) = -38*n**2. Give b(l(f)).
-342*f**4
Let l(a) = 15*a**2. Let s(v) = v**2 - v + 1. Let z(c) = 5*c**2 - 6*c + 6. Let j(f) = -6*s(f) + z(f). Calculate j(l(o)).
-225*o**4
Let a(x) = -x. Let s(z) = 2*z + 4331. Determine a(s(o)).
-2*o - 4331
Let z(a) = -93*a**2. Let y(n) = -45*n. Determine z(y(g)).
-188325*g**2
Let h(c) = 7*c**2 - 6*c. Suppose -3*v + 30 = -8*v. Let t(y) = -20*y**2 + 17*y. Let n(j) = v*t(j) - 17*h(j). Let z(a) = 5*a**2. Determine z(n(f)).
5*f**4
Let b(i) = i**2. Let f(g) = 6*g + 9. Let m(w) = w**3 - 10*w**2 - 12*w + 9. Let x be m(11). Let r(k) = -k - 1. Let y(q) = x*f(q) - 18*r(q). Calculate y(b(z)).
6*z**2
Let d(s) = 3*s. Let g(z) = -6*z. Let j(m) = -7*d(m) - 3*g(m). Let t(u) = -4*u. What is t(j(c))?
12*c
Let x(m) = -2*m - 2 + 2. Let s(u) = 3*u**2 - 5*u + 10*u + 2*u. Let r(d) = d**2 + 2*d. Let y(z) = 7*r(z) - 2*s(z). Calculate x(y(f)).
-2*f**2
Let y(i) be the third derivative of -i**7/5040 - i**5/20 - 2*i**2. Let k(j) be the third derivative of y(j). Let r(v) = 2*v**2. What is k(r(n))?
-2*n**2
Suppose 2 = -6*w + 26. Let q(v) be the third derivative of -1/60*v**5 + 0 + 2*v**2 + 0*v**3 + 0*v**w + 0*v. Let l(z) = 2*z**2. Determine q(l(d)).
-4*d**4
Let f(r) = -74*r. Let h(a) = -12*a. What is h(f(w))?
888*w
Let w(y) be the second derivative of y**4/12 + y**2 + 7*y. Let r(n) = -4*n**2 - 7. Let h(z) = 2*r(z) + 7*w(z). Let v(s) = 9*s**2. Calculate h(v(q)).
-81*q**4
Let l(i) = -i. Let z(u) = u - 1. Let k(s) = 3*s**2 - 13*s + 5. Let v(p) = -k(p) - 5*z(p). Give v(l(f)).
-3*f**2 - 8*f
Let b(y) = -2*y**2. Let x(c) = -3*c - 44. Give x(b(o)).
6*o**2 - 44
Let y(w) = -2*w. Suppose -2*x - 5*r = 2, -9 = -3*x - 2*r - 1. Let n(s) = -3*s. Let k(b) = x*n(b) - 5*y(b). Let p(f) = f**2. Calculate p(k(a)).
4*a**2
Let z(r) = -r + 1. Let p(f) = -6 + 0*f + 3*f + 3 - f. Let u(y) = -p(y) - 3*z(y). Let g(m) = 15*m**2. Determine g(u(l)).
15*l**2
Let v(x) = -7*x**2. Let m(n) = 27*n. Let t(p) = 11*p. Let k(b) = -5*m(b) + 12*t(b). Determine k(v(q)).
21*q**2
Let m(w) = 2*w**2. Let x be (-2)/7 - 99/21. Let z(g) = g + 6. Let t be z(x). Let c(n) = -t - 3*n**2 - 5 + 6. Determine m(c(j)).
18*j**4
Let c(l) = 28*l + 22. Let m(t) = -9*t - 7. Let s(w) = -6*c(w) - 20*m(w). Let g(k) = -4*k - 3. Let v(n) = 8*g(n) + 3*s(n). Let x(r) = -r. Calculate v(x(a)).
-4*a
Let f(w) = -2*w. Let h(s) = -121*s. Determine f(h(x)).
242*x
Let y(x) = 11*x. Let m(z) = -z**2 + 3*z**2 + 5*z**2 - 3*z**2. Give y(m(d)).
44*d**2
Let n(d) = -2*d**2. Let k(u) = -1194*u. Calculate k(n(j)).
2388*j**2
Let w(m) = -4*m. Suppose -3 = -4*q + 5. Let s(z) = -z - q*z + z + 4*z. Give s(w(l)).
-8*l
Let j(h) = -18*h**2. Let c(s) = -3*s**2 + 5. Let r(o) = o**2 - 2. Let l(t) = 2*c(t) + 5*r(t). Give l(j(v)).
-324*v**4
Suppose -2*q + 3*g + 61 = 3*q, q - 5*g - 21 = 0. Let s(d) = -3 + 3 + 6*d**2 - q*d**2. Let m(w) = -2*w. What is s(m(p))?
-20*p**2
Let w(s) = s**2. Let h(d) be the second derivative of 5/3*d**3 + 0*d**2 + 5*d + 0. Give w(h(z)).
100*z**2
Let w(h) = 10*h. Let i(m) be the first derivative of 2*m**3/3 + 9. Calculate i(w(u)).
200*u**2
Let o(r) = -r**2 + r + 4. Let y be o(0). Let b(d) = y*d + 0 + 0 + 0. Let x(p) = -2*p. What is b(x(g))?
-8*g
Let c(k) = -8*k**2. Let g(v) = -167 - 4*v + 167. Calculate g(c(w)).
32*w**2
Let p(d) be the first derivative of -2*d**3/3 - 7. Let y(m) = 2*m**2. Determine p(y(f)).
-8*f**4
Let l(r) = -5*r**2. Let f(z) = -2*z**2 - 6*z**2 + 11*z**2. Determine l(f(h)).
-45*h**4
Let r(v) = 2*v**2. Let c(g) be the second derivative of -23*g**4/3 + 28*g. What is c(r(q))?
-368*q**4
Let y(q) = 2*q. Let z(x) = -10*x**2 + 5*x + 4. Let h(l) = -29*l**2 + 16*l + 14. Let t(n) = -2*h(n) + 7*z(n). Calculate t(y(o)).
-48*o**2 + 6*o
Let j(y) be the first derivative of -1/2*y**2 + 6 + 0*y. Let z(m) = 2*m**2. Calculate z(j(v)).
2*v**2
Let i(m) be the third derivative of -m**5/20 - 3*m**2. Let k(x) = -x. What is k(i(v))?
3*v**2
Let l(d) be the first derivative of -d**2/2 + 1. Let n(s) = s - 1. Let f(r) = 1. Let y(v) = f(v) + n(v). Determine y(l(u)).
-u
Let h(r) be the first derivative of r**2 + 50. Let g(f) = 5*f**2. Give g(h(n)).
20*n**2
Let u(x) = 3*x. Let d(s) = 17*s. Let g(r) = -9*r. Let i(f) = -2*d(f) - 5*g(f). Determine u(i(v)).
33*v
Let x(m) = 392*m - 783*m - 60*m**2 + 391*m. Let i(u) = 3*u**2. What is x(i(j))?
-540*j**4
Let j(o) be the first derivative of o**2 + 12. Let b(d) = 12*d**2. Calculate b(j(q)).
48*q**2
Let m(b) = -2*b**2. Let a(z) be the second derivative of 0*z**3 + 0 - 11/12*z**4 + 6*z + 0*z**2. Give m(a(g)).
-242*g**4
Let z(p) be the second derivative of -7*p**3/6 - 5*p. Let m(s) = 2*s**2. Calculate m(z(j)).
98*j**2
Suppose -2*q = -4 - 0. Let p(i) = -2*i - i + q*i. Let s(r) = -r + 1. Let n(t) = 9*t - 12. Let l(u) = n(u) + 12*s(u). Determine p(l(d)).
3*d
Let c(f) = -f. Let i(p) = p - 1. Let v(g) = 8*g**2 + 4*g - 4. Let z(q) = 4*i(q) - v(q). What is c(z(h))?
8*h**2
Let g(p) = 7*p**2 - 6*p - 6. Let y(h) = 13*h**2 - 11*h - 11. Let q(t) = 11*g(t) - 6*y(t). Let j(x) = -9*x**2. Determine q(j(r)).
-81*r**4
Let d(g) = -g - 147. Let f(y) = 3*y**2. Give d(f(b)).
-3*b**2 - 147
Let d(f) be the second derivative of -2*f**3/3 + 62*f. Let u(k) be the first derivative of -k**2 - 1. Determine d(u(a)).
8*a
Let u(l) be the second derivative of 1/2*l**3 + 2*l + 0*l**2 + 0. Let h(i) = -2*i - i + 2*i. Determine h(u(c)).
-3*c
Let x(o) = -1. Let h(u) = 68. Let y(n) = -n**2 - 1. Let t(w) = h(w) - 17*y(w). Let m(c) = -t(c) - 85*x(c). Let q(i) = 2*i. What is q(m(v))?
-34*v**2
Let b(k) be the second derivative of -k + 0 + 0*k**3 - 1/12*k**4 + 0*k**2. Let m(y) be the first derivative of -y**3/3 - 4. Calculate b(m(r)).
-r**4
Let h(u) = -5*u. Suppose 0 = 5*v - 10*v - 5. Let c(j) = j**2 - 1. Let x(y) = -4*y**2 + 3. Let s(i) = v*x(i) - 3*c(i). What is s(h(a))?
25*a**2
Let o(t) = t. Let g be o(4). Let z(s) = -2*s - 4*s + s + g*s. Let f(l) = 4*l - 5. Let b(h) = 3*h - 4. Let x(v) = -5*b(v) + 4*f(v). Determine x(z(r)).
-r
Let a(p) be the first derivative of -p**5/60 + 4*p**3/3 - 8. Let s(m) be the third derivative of a(m). Let h(b) = 10*b**2. Calculate h(s(i)).
40*i**2
Let m | {
"pile_set_name": "DM Mathematics"
} |
e -2 divided by -518.
1/259
Divide -260 by -260.
1
2 divided by 333
2/333
What is 780 divided by -20?
-39
218 divided by 109
2
Divide 48 by -35.
-48/35
What is -2 divided by -14?
1/7
Calculate -2107 divided by 6.
-2107/6
What is 169 divided by 4?
169/4
Divide 16492 by 19.
868
What is -485 divided by 8?
-485/8
What is -32315 divided by 5?
-6463
0 divided by 267
0
What is -137 divided by 6?
-137/6
What is 3 divided by -9?
-1/3
What is -1 divided by 857?
-1/857
What is -17 divided by 221?
-1/13
Divide 5805 by -1.
-5805
What is -11 divided by 143?
-1/13
What is -15 divided by 10?
-3/2
What is 2170 divided by -5?
-434
5 divided by -9
-5/9
What is 2924 divided by 34?
86
What is -7 divided by 12?
-7/12
Divide 617 by 617.
1
Divide 3032 by 758.
4
What is 856 divided by -856?
-1
-6 divided by -3
2
38 divided by -10
-19/5
-1310 divided by 1
-1310
Divide -8712 by -121.
72
0 divided by 114
0
-1 divided by 14
-1/14
2 divided by 176
1/88
What is 2394 divided by 14?
171
Calculate 17275 divided by 5.
3455
512 divided by -128
-4
Calculate -224 divided by -14.
16
What is -160 divided by 40?
-4
Calculate -3534 divided by 38.
-93
-390 divided by -6
65
Calculate 5 divided by 214.
5/214
Divide 27 by -27.
-1
Calculate -8 divided by 8.
-1
Calculate -8 divided by -275.
8/275
-8 divided by -107
8/107
Calculate -119 divided by 5.
-119/5
Calculate -140 divided by 2.
-70
Calculate 131 divided by -7.
-131/7
What is -1 divided by -1026?
1/1026
Divide 461 by -5.
-461/5
What is -100 divided by 8?
-25/2
-11395 divided by -3
11395/3
-6560 divided by -40
164
What is 1248 divided by 13?
96
Calculate 4048 divided by -4.
-1012
Calculate 220 divided by -5.
-44
What is 4988 divided by 2?
2494
What is -4368 divided by 12?
-364
Calculate 896 divided by 1.
896
What is -12485 divided by -2497?
5
108 divided by 16
27/4
What is -4 divided by -2030?
2/1015
-40 divided by -10
4
What is -39 divided by -571?
39/571
2 divided by 64
1/32
What is 68 divided by -34?
-2
-103 divided by 103
-1
786 divided by -5
-786/5
What is 18163 divided by -6?
-18163/6
4 divided by 57
4/57
What is 4 divided by -139?
-4/139
18 divided by -679
-18/679
Calculate 16272 divided by 12.
1356
Calculate -8235 divided by -915.
9
Divide -270 by 3.
-90
Calculate -4364 divided by -1091.
4
Calculate 73 divided by 73.
1
Calculate -1725 divided by -115.
15
Divide 19 by -28.
-19/28
Divide 5 by -5.
-1
What is 405 divided by 45?
9
What is 2586 divided by -6?
-431
What is 14 divided by 133?
2/19
7 divided by -123
-7/123
Divide 1123 by 6.
1123/6
Calculate -8 divided by -29.
8/29
14580 divided by 6
2430
What is 884 divided by -221?
-4
Calculate -44 divided by -2.
22
314 divided by 2
157
-560 divided by 56
-10
What is 5152 divided by 1?
5152
Divide -1 by -51.
1/51
What is -191 divided by -5?
191/5
24 divided by 13
24/13
Divide -2086 by 149.
-14
228 divided by 2
114
3100 divided by 50
62
-1830 divided by -6
305
What is -92 divided by -92?
1
Divide -4 by -10.
2/5
300 divided by -2
-150
Divide 165 by 55.
3
0 divided by -91
0
325 divided by -3
-325/3
What is -28 divided by 42?
-2/3
-1 divided by -2805
1/2805
Divide -677 by -677.
1
Divide 891 by -3.
-297
Calculate 26060 divided by -2.
-13030
What is 4350 divided by -3?
-1450
Divide -69 by 13.
-69/13
What is 30624 divided by -3?
-10208
Divide 35 by -4.
-35/4
Divide -10 by -332.
5/166
What is 260 divided by -65?
-4
37 divided by 37
1
What is 1705 divided by 5?
341
Calculate -155 divided by 2.
-155/2
What is 0 divided by 24?
0
What is 0 divided by 394?
0
Divide 510 by -15.
-34
What is -5 divided by -476?
5/476
What is 0 divided by -739?
0
Calculate -324 divided by -12.
27
Divide 2 by 43.
2/43
Calculate -45 divided by 3.
-15
Divide 591 by -197.
-3
Calculate -14502 divided by -3.
4834
-442 divided by 221
-2
5 divided by -34
-5/34
Calculate -5 divided by 357.
-5/357
-2250 divided by 225
-10
7547 divided by 1
7547
18271 divided by 6
18271/6
What is 1790 divided by 5?
358
What is 4656 divided by -4?
-1164
Divide -1850 by -1.
1850
Calculate 0 divided by -31.
0
Divide 3033 by 3.
1011
Calculate -4 divided by 49.
-4/49
-61988 divided by -4
15497
What is -194 divided by 97?
-2
Divide 75 by 5.
15
3 divided by -36
-1/12
154 divided by -22
-7
What is 4293 divided by -1431?
-3
-2970 divided by -594
5
What is 59 divided by 32?
59/32
Calculate 193 divided by -8.
-193/8
Calculate 420 divided by 6.
70
-2210 divided by 130
-17
-65 divided by -1
65
Divide -7909 by 2.
-7909/2
Divide 46 by -38.
-23/19
Calculate 3572 divided by -893.
-4
Divide 328 by 164.
2
Calculate 4608 divided by -288.
-16
What is -24438 divided by -6?
4073
Calculate 5808 divided by 132.
44
Calculate 2 divided by 11.
2/11
Divide -26 by -13.
2
5 divided by 100
1/20
Calculate 4 divided by -759.
-4/759
Calculate -999 divided by -1.
999
What is -798 divided by 6?
-133
Calculate -3705 divided by 13.
-285
39 divided by 2
39/2
-48 divided by -1
48
What is -52 divided by -52?
1
213 divided by -71
-3
What is 69 divided by 23?
3
Calculate 9649 divided by 3.
9649/3
Calculate -99 divided by 33.
-3
Divide -2215 by 443.
-5
Divide 5 by -8621.
-5/8621
What is -2460 divided by -205?
12
Calculate -2529 divided by 843.
-3
36 divided by -5
-36/5
Divide -1029 by -6.
343/2
Divide -357 by 51.
-7
What is 0 divided by 9?
0
What is -1 divided by -2176?
1/2176
21868 divided by -5
-21868/5
Calculate 606 divided by 3.
202
7 divided by 17
7/17
0 divided by -1854
0
What is -60 divided by 6?
-10
Divide -365 by 73.
-5
Divide -5 by 152.
-5/152
What is -9 divided by -17?
9/17
What is 208 divided by 4?
52
Divide -11751 by -1.
11751
159 divided by -53
-3
Divide -7522 by -2.
3761
Calculate 2722 divided by 2.
1361
-143 divided by 2
-143/2
What is 1560 divided by 130?
12
What is 52 divided by 26?
2
114 divided by -38
-3
What is 648 divided by -43?
-648/43
Divide -310 by 5.
-62
What is 692 divided by 173?
4
-34 divided by 2
-17
Divide -195 by -39.
5
Calculate 2 divided by 28.
1/14
What is 184 divided by 5?
184/5
9645 divided by -1929
-5
Calculate 29792 divided by -56.
-532
What is 0 divided by -5998?
0
What is 6 divided by 1511?
6/1511
Calculate -620 divided by -2.
310
0 divided by -57
0
Calculate -1700 divided by 85.
-20
Divide -1207 by -1207.
1
0 divided by -90
0
90 divided by 5
18
Calculate -3 divided by -1201.
3/1201
Divide -6 by 1980.
-1/330
480 divided by 4
120
What is -533 divided by -1?
533
What is -5 divided by 1989?
-5/1989
Calculate 6 divided by -11.
-6/11
-917 divided by 2
-917/2
2080 divided by 104
20
What is -28 divided by 63?
-4/9
Divide -7664 by -2.
3832
Calculate 3548 divided by -4.
-887
Divide -1023 by 2.
-1023/2
5391 divided by 599
9
Calculate -357 divided by -68.
21/4
Divide 447 by 2.
447/2
Divide 8648 by 92.
94
Calculate -3 divided by -26.
3/26
Divide -22 by 14.
-11/7
Divide 0 by -3638.
0
What is -13070 divided by -2?
6535
Calculate -23 divided by -8.
23/8
-472 divided by 236
-2
Divide -1844 by 461.
-4
What is -136 divided by 136?
-1
Divide 15938 by 7969.
2
Calculate -7820 divided by -5.
1564
What is -4 divided by 41?
-4/41
-300 divided by 5
-60
Calculate -119 divided by 4.
-119/4
What is 7091 divided by -1?
-7091
8 divided by 172
2/43
517 divided by 517
1
Divide 110 by 55.
2
Calculate 31694 divided by -1.
-31694
What is -2 divided by -6?
1/3
9 divided by 3
3
Divide -59 by 59.
-1
Calculate 761 divided by -9.
-761/9
Divide 70 by 2.
35
Calculate 152 divided by 10.
76/5
Divide 1008 by 12.
84
Divide -11016 by 68.
-162
Calculate -5130 divided by 5.
-1026
Calculate 7 divided by 130.
7/130
40 divided by -40
-1
Divide 1207 by 5.
1207/5
Calculate -90 divided by -1.
90
-233 divided by -233
1
Divide -4 by 289.
-4/289
Divide -171 by 57.
-3
What is -10 divided by -27?
10/27
Divide -12 by 4.
-3
What is 546 divided by -4?
-273/2
What is -155 divided by 5?
-31
Calculate 24645 divided by -5.
-4929
Calculate -4 divided by 30.
-2/15
5 divided by 1397
5/1397
Calculate -4 divided by 64.
-1/16
Divide 58 by 3.
58/3
What is -592 divided by -6?
296/3
-1173 divided by 5
-1173/5
What is -1799 divided by 5?
-1799/5
Divide 8 by -2.
-4
98 divided by 70
7/5
Calculate 9 divided by 8.
9/8
Divide -2 by -1.
2
What is 1803 divided by -5?
-1803/5
What is 1332 divided by -4?
-333
Calculate -54 divided by -8.
27/4
Divide -255 by -4.
255/4
Calculate 0 divided by 281.
0
What is -392 divided by -4?
98
1 | {
"pile_set_name": "DM Mathematics"
} |
o (b) -1/5 (c) 0.4
b
Let v = 31 - 405/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2/3? (a) v (b) t (c) 2/9
b
Let w = 75/4 - 18. What is the closest to 1 in w, -0.2, -2?
w
Let o = 3 - 4. Let h = -0.6 + -3.4. Which is the closest to o? (a) h (b) 1 (c) 0
c
Let u = -1.5 + 1.1. Which is the nearest to 2/11? (a) u (b) 2 (c) 4/7
c
Suppose 10 = -5*g - 5. What is the closest to 0 in g, 0.1, -4?
0.1
Let k = 3.5 - 1.5. Which is the closest to -0.2? (a) 3 (b) k (c) 1
c
Let x be (-18)/(-52) - (-1)/(-2). Let h(q) = -q**2 + 1. Let t be h(0). Let z be ((-1)/t)/((-6)/12). Which is the nearest to -1? (a) x (b) z (c) 0
a
Let p = 0.07 - 0.27. Let u = 198 - 1784/9. Which is the closest to 1? (a) p (b) u (c) -0.6
a
Suppose -21 = -3*r + 5*g - 9, -5*g = -r + 4. Which is the closest to 0.1? (a) r (b) 0.5 (c) 2
b
Let p = -12.2 + 12. Let b = p - -1.2. Let j = 0.8 - -0.2. What is the nearest to b in j, 1/2, 2/9?
j
Let i(t) = t**3 + 5*t**2 + 4*t - 1. Let z be i(-3). Let n = z + -7. What is the nearest to -2 in n, -0.1, -0.3?
n
Let x be (1 + (-16)/12)*2. Which is the closest to 1? (a) x (b) -3/4 (c) 2/7
c
Let z = -0.967 + -0.033. Which is the nearest to 2? (a) -0.1 (b) 2 (c) z
b
Let q = 0 + -1. Let w = -11/90 + -1/10. Suppose 0*o + o = 2. Which is the closest to q? (a) w (b) o (c) 0.5
a
Suppose 4*p = 7*p - 3*o + 3, 0 = 5*p + 3*o - 11. Let a = -1 - -3. What is the closest to -2/3 in a, 0.3, p?
0.3
Let u = 23 + -28. Let k = -0.6 + 2.6. What is the closest to k in -3, u, -0.2?
-0.2
Let j = -4.07 - -0.07. Let g be 2/(-3) + 44/57. Let s = -16 + 14. Which is the nearest to s? (a) j (b) 3/2 (c) g
a
Let g = 203/6 - 34. Let n = -97 - -487/5. Let k = 3/29 + -38/87. What is the nearest to k in g, n, -3?
g
Let y = -2 - -3. Let z = 4.8 + -3.77. Let u = z + -0.03. What is the closest to y in -4, u, -4/5?
u
Let u = -25 + 26. Which is the nearest to u? (a) -2 (b) -2/5 (c) -3/5
b
Let d = -222 - -1106/5. Let m = -4.018 + 0.018. What is the nearest to 0 in m, 0.5, d?
0.5
Let o = -1.4 + 1.7. Which is the closest to -3? (a) -2/3 (b) o (c) 0.5
a
Let f = 0.1 - -0.2. Which is the closest to 0? (a) -0.2 (b) f (c) -4
a
Let d(l) be the second derivative of l**5/20 + l**4/2 - 7*l**3/6 + l. Let w be d(-7). Which is the closest to 1/4? (a) -0.3 (b) -4 (c) w
c
Let f be (2/(-4)*0)/2. Suppose -m - v + 8 = -f*m, 0 = -4*v + 20. Let i = 23 + -23.2. What is the nearest to -1 in 3/4, i, m?
i
Let v = -7 - -7.1. What is the nearest to v in 1, 5, 0.02?
0.02
Let r = -1 + 1. Let n = 9.91 - 10. Let u = -0.01 + n. Which is the nearest to u? (a) r (b) 0.5 (c) 5
a
Let u = -7.4 + 7. What is the closest to 0 in -0.2, u, 1?
-0.2
Suppose -4*t + 9*t = 0. Which is the closest to 2/21? (a) 2/7 (b) t (c) 2
b
Let o = 0.08 - 0.33. Let i = o - -0.65. Which is the nearest to 2? (a) 5 (b) i (c) 0.2
b
Let j = -0.2 + 0.7. Let w be (-6)/2*(-4)/(-10). Let y = -0.06 - -0.16. What is the nearest to y in w, 2/9, j?
2/9
Let j be (3/(-2))/((-63)/12). What is the closest to j in 0.5, 0, 0.4?
0.4
Let r = 0.3 + 0.2. Let s = 8.2 - 8. Which is the closest to s? (a) -1/9 (b) 5 (c) r
c
Let h = -3 + 2. Let w be (1 - h) + (-8)/5. Suppose -2*f = -3*f + 2*o + 2, 5*f + 2*o = -14. Which is the closest to f? (a) -5 (b) 3 (c) w
c
Let j be 5/(-3) + (-1 - -3). Which is the nearest to j? (a) 4/9 (b) -2 (c) -2/17
a
Let b = 10 + -17. Let l = -11 - b. What is the closest to 0.1 in l, 2, -1/6?
-1/6
Let x = 76903/225 + -3077/9. Let l = 8/25 + x. Which is the nearest to -0.1? (a) -1 (b) l (c) -0.04
c
Let s = 3 - 8. Let m be 8 - (-8)/((-200)/215). What is the nearest to -1 in s, -5/4, m?
-5/4
Let l = 11.9 + -12. What is the closest to l in 4, -1, -1/3?
-1/3
Let k be 1 - (5 - 3/3). Let r = -1643/6 - -273. Which is the closest to 0.1? (a) k (b) 3 (c) r
c
Let m = -2.6 + 4.6. What is the closest to m in -2/3, 0, 3?
3
Let o = 0.24 + -0.04. Which is the closest to 0.3? (a) o (b) -0.5 (c) 2
a
Let b be 6/5*2/(-6). Let v = -7 + 12. What is the nearest to 2 in b, v, 1/9?
1/9
Let n = -1 + 4. Let f = 2 - n. Let k be (6 - 4) + (-8)/5. What is the closest to k in f, 0, -5?
0
Let u be 2/(-4)*48/(-30). Which is the closest to -2/5? (a) -0.6 (b) 4 (c) u
a
Let f = 1 + 1. Let g = 727 - 729. Let o = -25 - -49/2. What is the nearest to o in -0.2, g, f?
-0.2
Let x = 95 - 93.1. Let g = 8 - 7.1. Let r = g - x. What is the closest to -2 in 0.1, 5, r?
r
Let i(r) = -r**2 - 9*r - 9. Let u be i(-8). Let f be 3*u/(-27)*2. Let m be (1 + 5)/((-12)/8). Which is the nearest to 1? (a) m (b) 2/13 (c) f
c
Suppose 16 = -z + 2*d + 2*d, 2*d + 6 = -3*z. Let n be 117/126 - (-2)/z. Which is the closest to -1? (a) 0.5 (b) -4 (c) n
c
Let w = 1.2 - -1.8. Suppose 3*z = -2*z + 10. What is the nearest to -0.1 in z, -4, w?
z
Let d = 2 - 4. Let g be ((-3)/(-12))/(1/d). Let t = 0.02 - 0.22. Which is the nearest to 1? (a) t (b) -1/4 (c) g
a
Let o = -0.2 + 0.3. What is the closest to o in 0.5, 2, -5?
0.5
Let c be 1/(2 + 3/(-3)). Let f = -0.03 - 0.47. Let o be 3*(0 + 3/(-12)). What is the nearest to c in o, 2, f?
2
Let g be (1 - (2 + -1))*1. Let n(q) = q**2 + 2*q - 4. Let s be n(-4). Suppose g = -3*y - s - 8. Which is the closest to 1? (a) 1 (b) 1/3 (c) y
a
Let h be (4 + 45/(-10))/1. Which is the closest to h? (a) 5/2 (b) 2 (c) 1/3
c
Let n = 81.9 + -63. Let o = 16 - n. Let k = o - -3. Which is the closest to -1? (a) -2 (b) k (c) 2/15
a
Let j = 0.2 + -0.1. Suppose n + 4*n = 55. Let o(i) = i**3 - 10*i**2 - 10*i - 8. Let s be o(n). Which is the closest to j? (a) -5 (b) s (c) -2/9
c
Let a = 119 + -119. What is the closest to -2/3 in a, -0.2, 0.3?
-0.2
Let i = 13.9 + 0.1. Let q = 11 - i. What is the closest to -0.2 in -2, q, -0.4?
-0.4
Let t = 0.111 + -0.611. What is the closest to 2/5 in -5, 1/65, t?
1/65
Let q = -3.2 - 0.8. Let s = q - -3.6. Which is the closest to 1? (a) s (b) -3 (c) 3
a
Let t = -136 + 133. What is the closest to -1 in 8, -1, t?
-1
Let q = -182.7 + 183. What is the nearest to -2/7 in -0.5, q, -2?
-0.5
Let d = 6 + -8. Which is the closest to 9? (a) -1/2 (b) 0.3 (c) d
b
Let h be 17/(-6) - (0 - -1). Let w = h - -95/24. Let n = 2 - 2. Which is the closest to 1/2? (a) w (b) 0.2 (c) n
b
Let i = 2 + -1.9. Let x = 0.396 + -5.396. What is the closest to i in 0.1, -0.2, x?
0.1
Let m = -3.7 + 4. Let t = -11 - -11.7. Let l = m + t. Which is the closest to l? (a) -1/4 (b) 1 (c) -2
b
Suppose -y = -m + 3*y - 14, -m - 5*y + 31 = 0. Let d = m + -1. What is the nearest to 2/5 in -0.2, -1, d?
-0.2
Suppose -4*n + 10 + 8 = -2*d, 3*n = -d + 21. Let y be ((-3)/7)/(n/4). Which is the closest to 0? (a) y (b) -5 (c) 0.1
c
Let n be ((-2)/12)/(7/(-406)). Let l = 9 - n. What is the nearest to l in 0.5, 2/7, 2?
2/7
Let i = -19 - -13. Let j = i - -4. Let w be 2 + -2 - 1/4. Which is the closest to w? (a) j (b) 1/10 (c) 0.3
b
Let d = -14 - -8. Let c = 28.5 + -29. What is the closest to -2 in c, d, -4?
c
Let j = 4 + -4. Let g = -0.54 - 2.46. Let q = 7 + -11. What is the nearest to j in q, g, -0.4?
-0.4
Let r be (-4)/(-6) - (-32)/(-66). Let y = -3 + 2. Let x = -2.13 + 0.13. Which is the closest to 1? (a) x (b) r (c) y
b
Let i = 0.3 + -0.2. Let c = 0.45 + -0.05. Let q = i + c. What is the nearest to -0.1 in 4/9, q, 5?
4/9
Let v = -20.5 + 21. Let n = -2 + 2.2. Which is the nearest to n? (a) 0.4 (b) -3/7 (c) v
a
Let o = 4 - 3.5. Let c = -192 + 1726/9. What is the closest to c in 4, o, -1/9?
-1/9
Let x be 217/21 - 2/6. Let c be 1/2 - (-15)/x. Let g = -2 + c. What is the closest to g in -2, -2/23, -1?
-2/23
Let y = 0 + -0.2. Let v = -20 - -20. Which is the nearest to v? (a) -1/10 (b) y (c) -0.4
a
Let b = 0 - -1. Let a be (-20)/(-16)*(-8)/20. What is the nearest to b in a, -0.4, -0.2?
-0.2
Let o be (-20)/(-40) + (-7)/6. What is the nearest to o in -0.01, -5, -1?
-1
Let p = -0.6 - -0.2. Let t = p + 0.3. Which is the closest to t? (a) -1 (b) 0 (c) 2/7
b
Let t = -2/21 - 17/42. Let d = 32 + -30. Which is the nearest to 2? (a) t (b) 5 (c) d
c
Let z be ((3 - -1) + -3)/7. What is the closest to -1 in z, -4, 1/2?
z
Let t = -8 + 7.5. Let h = -3 + 6. What is the closest to 2/9 in 3/4, t, h?
3/4
Let b be 0/(-1) - (-7 - -9). Let g be ((-6)/3)/(5/b). What is the nearest to 0.3 in g, 2, -5?
g
Let | {
"pile_set_name": "DM Mathematics"
} |
Three letters picked without replacement from eeezeeezeeze. Give prob of picking 1 z and 2 e.
27/55
Two letters picked without replacement from {z: 1, r: 1, y: 2, x: 1}. What is prob of picking 1 r and 1 y?
1/5
Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {e: 2, y: 2, a: 1, b: 1, p: 2, h: 1}.
1/18
Calculate prob of picking 1 b and 2 r when three letters picked without replacement from {p: 1, m: 1, y: 3, b: 3, c: 1, r: 2}.
1/55
Two letters picked without replacement from {p: 5, c: 1, a: 3, j: 1, x: 3, d: 4}. Give prob of picking 1 d and 1 x.
3/34
Three letters picked without replacement from aarraraaaaaa. Give prob of picking 2 r and 1 a.
27/220
Two letters picked without replacement from {d: 4, n: 3, r: 1, h: 4, u: 1, t: 1}. What is prob of picking 1 u and 1 n?
3/91
Four letters picked without replacement from {l: 2, g: 3, h: 15}. What is prob of picking 4 h?
91/323
What is prob of picking 1 r, 2 m, and 1 v when four letters picked without replacement from rrmbrvm?
3/35
What is prob of picking 2 r when two letters picked without replacement from {r: 2, x: 2}?
1/6
Three letters picked without replacement from ttnnnttnntnwtnwtnw. What is prob of picking 1 t and 2 w?
7/272
Three letters picked without replacement from fdzxddx. Give prob of picking 1 d, 1 f, and 1 x.
6/35
Two letters picked without replacement from hkbhgzv. Give prob of picking 1 h and 1 v.
2/21
Calculate prob of picking 1 t and 1 d when two letters picked without replacement from nmdstqq.
1/21
Two letters picked without replacement from txtxftxtxitttxttx. Give prob of picking 2 x.
15/136
Two letters picked without replacement from {n: 5, d: 8, s: 2}. What is prob of picking 2 d?
4/15
Two letters picked without replacement from nqhsudnu. Give prob of picking 1 u and 1 n.
1/7
What is prob of picking 1 k and 2 z when three letters picked without replacement from dddkdzkdddqdddqoqzd?
2/969
Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}.
1
Two letters picked without replacement from {y: 1, a: 1, v: 4, m: 2}. What is prob of picking 1 a and 1 m?
1/14
Two letters picked without replacement from zzkkzgpzppkgz. Give prob of picking 2 k.
1/26
Two letters picked without replacement from lddlttdldttt. What is prob of picking 2 l?
1/22
Four letters picked without replacement from hachcahacmhahahmcaaj. What is prob of picking 1 c and 3 h?
16/969
What is prob of picking 1 z, 2 u, and 1 g when four letters picked without replacement from uzrruzrsuruzzkg?
8/455
What is prob of picking 2 y when two letters picked without replacement from {e: 9, y: 3}?
1/22
What is prob of picking 3 r and 1 t when four letters picked without replacement from {t: 8, m: 2, r: 5}?
16/273
Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, n: 1}.
1/2
Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {z: 10, e: 2, p: 1, w: 1}.
1/364
Four letters picked without replacement from {b: 1, t: 2, m: 1, a: 10, h: 3, o: 1}. What is prob of picking 1 a, 2 h, and 1 b?
1/102
Three letters picked without replacement from etehetteoteeeeeezeo. Give prob of picking 1 h, 1 o, and 1 t.
8/969
Four letters picked without replacement from {g: 1, q: 4, t: 1, m: 6, n: 8}. What is prob of picking 1 q, 1 m, 1 n, and 1 t?
64/1615
Three letters picked without replacement from iiqqiq. What is prob of picking 3 i?
1/20
Three letters picked without replacement from {a: 18, g: 2}. What is prob of picking 3 a?
68/95
Four letters picked without replacement from uufuoumamsmm. What is prob of picking 2 m, 1 o, and 1 a?
2/165
Three letters picked without replacement from {d: 7, q: 6}. What is prob of picking 3 d?
35/286
Four letters picked without replacement from {n: 3, h: 2, d: 7, k: 1, t: 5}. Give prob of picking 1 n and 3 t.
1/102
Two letters picked without replacement from jefvifu. Give prob of picking 1 u and 1 e.
1/21
Two letters picked without replacement from mlmmmlummucluumcmm. Give prob of picking 2 l.
1/51
Two letters picked without replacement from fpamnmav. Give prob of picking 1 n and 1 v.
1/28
What is prob of picking 3 q when three letters picked without replacement from {q: 9}?
1
Calculate prob of picking 1 i, 1 n, and 1 c when three letters picked without replacement from ncibi.
1/5
Calculate prob of picking 1 h and 1 p when two letters picked without replacement from fhpjm.
1/10
Calculate prob of picking 3 k and 1 d when four letters picked without replacement from dppdaknkkkdkdkppnkk.
56/969
What is prob of picking 1 n, 1 d, and 1 o when three letters picked without replacement from {e: 1, d: 2, n: 2, b: 4, o: 1, f: 2}?
1/55
What is prob of picking 1 l, 1 z, and 1 d when three letters picked without replacement from {l: 1, v: 1, z: 4, a: 3, p: 1, d: 5}?
4/91
What is prob of picking 1 z, 1 n, 1 u, and 1 m when four letters picked without replacement from udiuzzmmdnzizzmunz?
3/85
Three letters picked without replacement from {h: 1, q: 16, e: 3}. Give prob of picking 2 e and 1 h.
1/380
Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {s: 4, m: 6, a: 1, g: 3}.
3/91
Calculate prob of picking 4 w when four letters picked without replacement from {k: 3, w: 9}.
14/55
Three letters picked without replacement from {k: 1, n: 6, i: 3, m: 2}. Give prob of picking 2 n and 1 k.
3/44
Three letters picked without replacement from cycosyecsnyy. Give prob of picking 1 s, 1 o, and 1 c.
3/110
Two letters picked without replacement from {x: 3, n: 1}. What is prob of picking 2 x?
1/2
Three letters picked without replacement from {o: 3, z: 6, s: 8}. Give prob of picking 2 s and 1 o.
21/170
Three letters picked without replacement from {p: 9, k: 3}. Give prob of picking 3 p.
21/55
What is prob of picking 2 e and 1 y when three letters picked without replacement from yyene?
1/5
Two letters picked without replacement from eemcxemcceeeecmxeexe. What is prob of picking 2 c?
3/95
What is prob of picking 2 d and 1 y when three letters picked without replacement from {t: 2, q: 1, g: 2, y: 3, d: 4}?
9/110
Two letters picked without replacement from vovvvvo. Give prob of picking 2 o.
1/21
Two letters picked without replacement from {t: 1, e: 3, j: 4, p: 2, s: 9}. What is prob of picking 1 p and 1 j?
8/171
What is prob of picking 2 j when two letters picked without replacement from {e: 5, j: 3}?
3/28
What is prob of picking 1 d, 1 o, and 1 a when three letters picked without replacement from oamqaoqvd?
1/21
Two letters picked without replacement from {i: 1, a: 3, m: 3, x: 6}. What is prob of picking 1 x and 1 i?
1/13
Four letters picked without replacement from {i: 1, q: 1, u: 2, v: 2, n: 2}. What is prob of picking 1 u and 3 q?
0
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from mmnnmnnmmdm.
4/55
Two letters picked without replacement from {w: 1, m: 2, z: 6, h: 7, o: 2}. Give prob of picking 2 z.
5/51
What is prob of picking 1 g, 1 x, and 2 m when four letters picked without replacement from timmmmxttgiimgiitgt?
5/646
Four letters picked without replacement from rbrbrrbbrrrrrrrb. What is prob of picking 2 r and 2 b?
55/182
Two letters picked without replacement from {q: 3, i: 6, v: 3, r: 3}. What is prob of picking 1 r and 1 v?
3/35
Two letters picked without replacement from adfiamdggad. What is prob of picking 1 i and 1 f?
1/55
Calculate prob of picking 3 t and 1 f when four letters picked without replacement from {f: 3, t: 5}.
3/7
Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {n: 2, z: 1, s: 1, m: 2, y: 1}.
2/21
Two letters picked without replacement from ofudoeueoeeefefdo. What is prob of picking 1 f and 1 e?
9/68
Four letters picked without replacement from {c: 5, r: 2, k: 3}. Give prob of picking 3 c and 1 r.
2/21
What is prob of picking 1 x, 2 y, and 1 r when four letters picked without replacement from yrzzzsrzrzyzrzzsxzrz?
1/969
Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 3, o: 1, v: 12}.
3/10
Two letters picked without replacement from krree. Give prob of picking 1 r and 1 e.
2/5
Three letters picked without replacement from {o: 6, j: 5, x: 2 | {
"pile_set_name": "DM Mathematics"
} |
8
How many grams are there in 7/4 of a kilogram?
1750
What is 18/5 of a litre in millilitres?
3600
Convert 26.39601 centuries to decades.
263.9601
What is five quarters of a century in months?
1500
How many litres are there in 113822.1 millilitres?
113.8221
What is 7/4 of a hour in seconds?
6300
How many minutes are there in fourty-six fifths of a hour?
552
Convert 34.92752l to millilitres.
34927.52
What is 59/5 of a hour in seconds?
42480
How many micrograms are there in 3.137691 grams?
3137691
How many micrometers are there in one tenth of a millimeter?
100
How many millilitres are there in six fifths of a litre?
1200
How many years are there in 11.00005 centuries?
1100.005
How many micrograms are there in 3032.368g?
3032368000
How many hours are there in 665630.91 microseconds?
0.000184897475
What is 7/8 of a meter in millimeters?
875
What is one sixth of a hour in minutes?
10
What is 0.8881521um in nanometers?
888.1521
What is seventeen halves of a gram in milligrams?
8500
What is 37/2 of a millennium in decades?
1850
How many micrograms are there in 21/2 of a milligram?
10500
What is 37/5 of a millennium in centuries?
74
What is 11/4 of a century in years?
275
Convert 1722.8844 hours to days.
71.78685
What is one twentieth of a microgram in nanograms?
50
How many tonnes are there in 7246.986 micrograms?
0.000000007246986
How many millilitres are there in seven quarters of a litre?
1750
How many decades are there in 0.3407272 millennia?
34.07272
What is seven quarters of a gram in milligrams?
1750
How many millilitres are there in 1/20 of a litre?
50
What is 119.0718 kilograms in milligrams?
119071800
What is 1/10 of a day in seconds?
8640
How many millimeters are there in 49447.76 meters?
49447760
Convert 91774.2 milligrams to tonnes.
0.0000917742
How many millennia are there in 82.082 years?
0.082082
What is one fifth of a litre in millilitres?
200
What is three eighths of a tonne in kilograms?
375
What is 75/4 of a day in minutes?
27000
How many milligrams are there in 7/2 of a gram?
3500
What is 77/5 of a centimeter in millimeters?
154
What is 7.591524 months in centuries?
0.00632627
How many centuries are there in twenty-six fifths of a millennium?
52
How many seconds are there in 759.3347ms?
0.7593347
How many years are there in one fifth of a century?
20
Convert 437143.1 nanometers to meters.
0.0004371431
How many millimeters are there in 2/125 of a meter?
16
How many millimeters are there in three eighths of a meter?
375
How many months are there in 26/5 of a decade?
624
How many months are there in eight thirds of a year?
32
How many centimeters are there in 11/10 of a meter?
110
How many months are there in 21/8 of a century?
3150
What is 7.243526 milligrams in grams?
0.007243526
What is three eighths of a litre in millilitres?
375
How many millilitres are there in sixty-four fifths of a litre?
12800
How many centimeters are there in one tenth of a meter?
10
How many millimeters are there in 62902.47cm?
629024.7
What is 1/10 of a gram in micrograms?
100000
What is 336857.85ms in hours?
0.093571625
What is 1/100 of a litre in millilitres?
10
What is five quarters of a litre in millilitres?
1250
What is 53/5 of a litre in millilitres?
10600
How many litres are there in 2.933312 millilitres?
0.002933312
How many milligrams are there in eleven tenths of a gram?
1100
What is one fifteenth of a minute in seconds?
4
How many micrometers are there in 3/10 of a millimeter?
300
How many nanograms are there in 81452.02g?
81452020000000
What is twenty-one fifths of a gram in milligrams?
4200
How many kilograms are there in 82814.26ug?
0.00008281426
How many micrometers are there in eleven halves of a millimeter?
5500
Convert 18111.38t to kilograms.
18111380
Convert 26897.69 decades to centuries.
2689.769
What is 3/5 of a day in seconds?
51840
How many millennia are there in 4.243674 years?
0.004243674
What is 0.0699721 milligrams in grams?
0.0000699721
How many milligrams are there in 6/5 of a gram?
1200
How many nanometers are there in 162.2133cm?
1622133000
How many nanograms are there in 3/40 of a milligram?
75000
What is 2/75 of a millennium in months?
320
How many kilometers are there in 204.938 centimeters?
0.00204938
How many nanometers are there in 3/25 of a micrometer?
120
What is 40.58156 weeks in minutes?
409062.1248
How many decades are there in 6248.273 years?
624.8273
What is 36.72328 micrometers in millimeters?
0.03672328
Convert 8.806487 grams to nanograms.
8806487000
How many nanograms are there in 3/25 of a microgram?
120
How many litres are there in 96.76218 millilitres?
0.09676218
What is 19/4 of a millimeter in micrometers?
4750
How many minutes are there in 13/5 of a week?
26208
What is 1543482.9 months in decades?
12862.3575
How many centuries are there in 951.487 years?
9.51487
What is 3/32 of a millimeter in nanometers?
93750
What is 11/4 of a milligram in micrograms?
2750
What is 66715.96km in micrometers?
66715960000000
How many months are there in 2/75 of a century?
32
How many millilitres are there in fifteen quarters of a litre?
3750
What is 1/5 of a centimeter in millimeters?
2
Convert 797966.2 kilometers to micrometers.
797966200000000
What is three tenths of a kilometer in meters?
300
How many seconds are there in thirty-one halves of a hour?
55800
How many minutes are there in one sixth of a day?
240
What is 7/4 of a hour in seconds?
6300
What is 2969.68 weeks in minutes?
29934374.4
Convert 662224.6 millennia to years.
662224600
What is thirty-seven halves of a hour in seconds?
66600
How many millilitres are there in 91756.6 litres?
91756600
What is 29.01968 milligrams in nanograms?
29019680
How many minutes are there in 4/15 of a week?
2688
What is 8384.098 centimeters in nanometers?
83840980000
How many litres are there in 9.246558ml?
0.009246558
Convert 15396.77l to millilitres.
15396770
Convert 2415.645 micrograms to nanograms.
2415645
How many millilitres are there in 12/25 of a litre?
480
What is 71305.9 nanograms in kilograms?
0.0000000713059
What is seven quarters of a minute in seconds?
105
How many kilograms are there in 8/25 of a tonne?
320
Convert 1.163757 days to seconds.
100548.6048
How many millilitres are there in 5/4 of a litre?
1250
What is seven quarters of a centimeter in micrometers?
17500
Convert 41298.6ng to kilograms.
0.0000000412986
Convert 0.3125889 kilograms to nanograms.
312588900000
Convert 34.78847t to micrograms.
34788470000000
Convert 76539.73 kilometers to centimeters.
7653973000
How many months are there in one quarter of a century?
300
What is 440203.6 decades in millennia?
4402.036
What is 7276.02 hours in milliseconds?
26193672000
What is 98.96657 kilometers in nanometers?
98966570000000
How many centuries are there in 11.554896 months?
0.00962908
What is 700312.9 millennia in decades?
70031290
Convert 47.65532 years to centuries.
0.4765532
How many micrometers are there in 5/4 of a centimeter?
12500
What is 21/2 of a year in months?
126
What is 13110.64 centuries in years?
1311064
What is thirteen fifths of a litre in millilitres?
2600
What is 1.160104 grams in nanograms?
1160104000
How many millilitres are there in three tenths of a litre?
300
How many meters are there in 83.48009mm?
0.08348009
How many hours are there in 208.61118 nanoseconds?
0.00000000005794755
How many millilitres are there in fifty-seven halves of a litre?
28500
What is 86092.26ml in litres?
86.09226
How many grams are there in 53/5 of a kilogram?
10600
What is 2.2611 years in decades?
0.22611
What is 11/2 of a meter in millimeters?
5500
Convert 1445.36ml to litres.
1.44536
How many meters are there in six fifths of a kilometer?
1200
What is 82.49722 nanograms in tonnes?
0.00000000000008249722
How many kilograms are there in 3782.289 grams?
3.782289
What is thirteen quarters of a millimeter in micrometers?
3250
How many millilitres are there in nine tenths of a litre?
900
What is 560.2554 years in decades?
56.02554
Convert 502327.4 kilometers to centimeters.
50232740000
What is 51789.636ms in hours?
0.01438601
How many nanoseconds are there in 8/25 of a microsecond?
320
How many millilitres are there in 37/5 of a litre?
7400
How many centimeters are there in 6/25 of a meter?
24
How many millil | {
"pile_set_name": "DM Mathematics"
} |
*2.
10*sqrt(7)/3 + 252
Simplify (-1*sqrt(324) - sqrt(288)/sqrt(128))/(5*(sqrt(12) + sqrt(60)/sqrt(5)*1 - -3*sqrt(60)/sqrt(5))).
-13*sqrt(3)/100
Simplify 3*3*(-4 + 5*(-4 + sqrt(605)*2 + sqrt(605) + sqrt(605) + sqrt(605))**2 + 0)*-6.
-4087854 + 118800*sqrt(5)
Simplify (3*sqrt(133)*2)/(sqrt(567) - (sqrt(567) + (sqrt(567) + -2*sqrt(567) - sqrt(567)))) + -1*(-3 + 5*1*sqrt(684))**2.
-17109 + 541*sqrt(19)/3
Simplify -4 + (0 + sqrt(363))**2 + -4 + (-3*sqrt(3))**2 + -5 + 5 + -4 + -1.
377
Simplify -6*5*(-1*sqrt(475) + -3 + sqrt(133)/(sqrt(7) + sqrt(21)/(sqrt(15)/sqrt(5)) - sqrt(7))).
90 + 120*sqrt(19)
Simplify (2*(-2*(1 + sqrt(1100) + 1 + -3) + 4*(sqrt(891) + 0 + sqrt(891) - (sqrt(11)*-1 + 0)) + 3))**2.
2240*sqrt(11) + 138084
Simplify 6*(-4 + -4 + sqrt(1584) + sqrt(1584) + (sqrt(1584) + sqrt(1584) + -1*sqrt(1584))*6 + sqrt(1584) + (2 + sqrt(1584))*-6 + 0 + 1)**2.
-8208*sqrt(11) + 87702
Simplify (5 + -6*(-4*(sqrt(1539) + -3) + sqrt(1539) + 0 + 2 + (sqrt(1539) + -5)*-1))**2.
-47088*sqrt(19) + 898345
Simplify ((sqrt(180) + 0 + sqrt(180) - sqrt(180))*-2)**2 + sqrt(180) + 1 + 0 - (sqrt(50)/(sqrt(10)*4) - (-5*(sqrt(80) + sqrt(5)))**2).
23*sqrt(5)/4 + 3846
Simplify (sqrt(4400) + 4*-2*sqrt(4400) - (sqrt(4400)*-1*5 + sqrt(4400)))/(sqrt(144)*-2*-6 + (1*1*sqrt(144) - sqrt(144))).
-5*sqrt(11)/12
Simplify (-4*sqrt(350)*5)/((sqrt(252) + sqrt(252) + -5*sqrt(252) + sqrt(252) - sqrt(252) - sqrt(28))/sqrt(4)).
10*sqrt(2)
Simplify -2*(((-2*sqrt(468))**2*2 - (sqrt(468) - (5 + sqrt(468) + 1))**2) + -2 + sqrt(468) + -2 + -4).
-7400 - 12*sqrt(13)
Simplify -4*((sqrt(28)/(sqrt(8)/sqrt(4)) - -2*sqrt(14)*-1)/(-3*sqrt(32)*-2))**2.
-7/144
Simplify ((-6*(sqrt(612) + -3) + 4 - (-1 + sqrt(612) + -2 + sqrt(612) - (sqrt(612) - (sqrt(612) + 1*sqrt(612) + 5)))) + -2)**2.
-1944*sqrt(17) + 49896
Simplify ((-6*2*sqrt(3300)*2)/(-1*sqrt(3)*-3 + sqrt(21)/(sqrt(7)*-4)))**2.
921600/11
Simplify ((-5 + 2*(-3 + sqrt(171)/(-2*sqrt(9)))*2)*3)**2 + 2.
612*sqrt(19) + 3287
Simplify -5 + -1*sqrt(2673)/sqrt(3) - (sqrt(22)/(5*sqrt(2)) - sqrt(396)*-1).
-76*sqrt(11)/5 - 5
Simplify (-5 + 2*(-3 + -6*((1 + sqrt(80))*-2 - sqrt(80) - sqrt(80)))*6)**2.
237312*sqrt(5) + 6646129
Simplify -1*(4*sqrt(1700) + -4 - (-2*sqrt(1088) + -5))**2.
-53313 - 112*sqrt(17)
Simplify -1*((2 + sqrt(108) + 1)*-6 + (sqrt(9)/sqrt(3) + -4 - (2*sqrt(3) + -3)) + 4) + 1.
16 + 37*sqrt(3)
Simplify (1 + 2*(sqrt(35)/(2*sqrt(5)))**2 - ((sqrt(56)/(sqrt(8)*3))**2 - (-5 + (-3*sqrt(7))**2))) + -4.
1039/18
Simplify ((2*sqrt(1584) + 3 - sqrt(1584)) + 1*sqrt(1584)*2 + 1)**2 - ((sqrt(132) + (sqrt(132)*2*-6 - sqrt(132)))/sqrt(12) + 5)*5.
348*sqrt(11) + 14247
Simplify (3 + (-5*(-2 + 1 + sqrt(833) - sqrt(833)) - ((2*sqrt(833) - sqrt(833))*4 - (2 + (sqrt(833) - 1*sqrt(833)) + sqrt(833) - sqrt(833)))))**2.
-560*sqrt(17) + 13428
Simplify (-1*(-6*-1*sqrt(425) - sqrt(425) - -5*-1*sqrt(425) - (-2*sqrt(425) + 4 + -5))*-2 + 3)**2.
200*sqrt(17) + 6825
Simplify (((-1*(sqrt(144) - (sqrt(144) - (sqrt(144) + -2*sqrt(144)))) - sqrt(144))*3)/(sqrt(18)/(sqrt(6) - sqrt(750)/sqrt(5))))**2.
0
Simplify 5*(-5 + 4 + (-2*sqrt(1008))**2) - (4 + (4*2*sqrt(70))/sqrt(10))*4.
-32*sqrt(7) + 20139
Simplify ((-5*((sqrt(13)*-5 - sqrt(13)) + -2) + 0 - (-3 + (5*sqrt(832) - sqrt(832)) + -4))*2)**2.
-272*sqrt(13) + 1364
Simplify -1*(((sqrt(17) + (sqrt(17) + 0 - sqrt(17)) + -4)*2 + -5*sqrt(2057)*-1)*2)**2.
-221188 + 3648*sqrt(17)
Simplify -4*(-3*(sqrt(4) + (sqrt(4) - sqrt(144)/sqrt(9)) + sqrt(4))*-4)/(sqrt(18)/(sqrt(36)/sqrt(4)) - (sqrt(162) + (3*sqrt(162) - sqrt(162)))).
24*sqrt(2)/13
Simplify -1*((sqrt(275)*2)**2 + sqrt(275) + 2 + 1 + -2*sqrt(275)) + -5 + 1 + (3 + (sqrt(275) - (sqrt(275) + -4*sqrt(275)*1)**2 - sqrt(275)))*2.
-6051 + 5*sqrt(11)
Simplify (5*sqrt(132)/sqrt(6) - (sqrt(198) + (sqrt(198) - 3*sqrt(198)))/sqrt(9))/((sqrt(96)/sqrt(3) - sqrt(2) - sqrt(2)) + (sqrt(72)/sqrt(3))/sqrt(12)).
2*sqrt(11)
Simplify (3*4*(sqrt(192) - sqrt(192)*3)*-3 + (sqrt(192) - sqrt(192)*4*3) + sqrt(192) + (sqrt(192)*-4 - sqrt(192))*-4 + sqrt(192))**2.
1322688
Simplify ((sqrt(84)*-1)/sqrt(12) + (((sqrt(84)*1)/sqrt(12))**2 - sqrt(7)) - 1*((1 + sqrt(112) + sqrt(112))**2 + sqrt(7))) + 2.
-440 - 19*sqrt(7)
Simplify ((-1*sqrt(84))/sqrt(12) + sqrt(7) + 5 + 4 + (sqrt(42)/sqrt(6)*-5 + 4)*-5)**2.
-550*sqrt(7) + 4496
Simplify (-2*(4*(sqrt(363) + (-2 + 1 + sqrt(363) + sqrt(363) - sqrt(363))) + -4*(-2 + sqrt(363))*-5))**2.
-108416*sqrt(3) + 1146112
Simplify ((0 + sqrt(12)/sqrt(4) - sqrt(3)) + 2 + -6*(sqrt(3) + 1 - sqrt(3)) + 2 - ((sqrt(36) - (sqrt(900) + sqrt(36)))*-4)/((sqrt(120)*-3)/sqrt(10)))**2.
-80*sqrt(3)/3 + 412/3
Simplify -2*(1 + (sqrt(180) - 2*sqrt(180))) - (sqrt(810)*-1)/(sqrt(8)/sqrt(4)*2).
-2 + 33*sqrt(5)/2
Simplify (5*sqrt(5)*2 + -5)*3 + (sqrt(60)/sqrt(48) + -4)*-2.
-7 + 29*sqrt(5)
Simplify -2*(-6*((sqrt(189) + -2*sqrt(189) + sqrt(189))*3 - sqrt(189)))/(sqrt(35)/(-6*sqrt(80)))*5.
4320*sqrt(3)
Simplify ((-6*-2*sqrt(136)*-3)/((sqrt(8) - (2*sqrt(72) + sqrt(72) + sqrt(72))/sqrt(9)) + sqrt(800)*-1 + sqrt(800))*5)**2.
61200
Simplify (4*-2*sqrt(17)*1 - (-1 + -3 + sqrt(153)))**2 - (((sqrt(17) + 1)*-2)**2 + (sqrt(833) + 0)**2)*1.
-96*sqrt(17) + 1168
Simplify (2*-3*4*3*-3*(0 + sqrt(1584) + sqrt(1584))*5*6*5)**2.
6651279360000
Simplify ((((sqrt(180) + (1*sqrt(180) - sqrt(180)) + sqrt(180))/sqrt(10))/(2*sqrt(900)) - (0 + sqrt(16)/(sqrt(24)/sqrt(3)))*5)*4)**2.
19208/25
Simplify ((1*sqrt(84)*3*-6)/(sqrt(12)*1*5 - sqrt(48)/sqrt(4)*1))**2.
567/4
Simplify (5 + sqrt(304) + 4)**2 - (2 + -2 + sqrt(304) + sqrt(304))**2 - (2 + 3*(1 + sqrt(304) + 2)).
-842 + 60*sqrt(19)
Simplify 5 + -1 + -4*((-1 + sqrt(448)*1 + 4)*-3)**2.
-16448 - 1728*sqrt(7)
Simplify ((5*sqrt(7)*-3*-4 - (sqrt(7)*-3 + sqrt(7) + 3)*-1)*-6)**2 + -5.
12528*sqrt(7) + 848047
Simplify -5*((2 + sqrt(80) + sqrt(5) + (sqrt(5) - ((sqrt(25)/sqrt(5))**2 + -4)) - (sqrt(30)/(sqrt(216)/sqrt(4)) + 1)) + -1).
-85*sqrt(5)/3 + 5
Simplify ((sqrt(63)*-2*-6 - sqrt(63) - sqrt(441)/(sqrt(7)*6)) + sqrt(378)/(sqrt(726)*6)*-4)**2.
3538647/484
Simplify ((-6*sqrt(76) - sqrt(76))*4*-3)/(sqrt(24)/sqrt(6)*1 - (-3*sqrt(324) - sqrt(324))).
84*sqrt(19)/37
Simplify -2*((5 + -2 + sqrt(117) - sqrt(117))**2 - ((sqrt(117))**2 + -3 + 0 + sqrt(1300)))*-2.
-420 - 40*sqrt(13)
Simplify ((4*-1*sqrt(9) + (sqrt(9) - (sqrt(9) + sqrt(81)))*-6 + sqrt(9))*1)/(3*sqrt(15)/sqrt(5) + sqrt(3) + (sqrt(300) - (sqrt(300)*3 - sqrt(300)))).
-5*sqrt(3)/2
Simplify 4*3*((sqrt(110)/sqrt(2))/sqrt(11))**2*-6 + ((sqrt(720) + sqrt(720) + 1*sqrt(720) + sqrt(720) + sqrt(720) + 3 - sqrt(720)) + -1*(-3 + sqrt(720)))**2.
432*sqrt(5) + 6156
Simplify (2 + ((3 + sqrt(171))*-6 - sqrt(171)) - (sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171)*1*-6)) - ((0 + sqrt(171) - sqrt(171))*4 + sqrt(171))))**2 + 3.
96*sqrt(19) + 430
Simplify 4 + ((6*5*sqrt(85) - sqrt(85)) + sqrt(85))/(sqrt(180)*3 - sqrt(5))*-1.
-30*sqrt(17)/17 + 4
Simplify ((1 + 4*(sqrt(588) - (0 + sqrt(588))) + (2*sqrt(588) + 1 + sqrt(588))*5)*3 + 5)**2.
28980*sqrt(3) + 1191229
Simplify (-2 + -3*((1*sqrt(704) - sqrt(704))*3 + ((sqrt(704) - (sqrt(704)*4 - sqrt(704))) + -1)**2 + sqrt(704))*-5)*4.
2400*sqrt(11) + 169012
Simplify -4 + sqrt(108) + 1 + 5 + -2 + -5*((1 + sqrt(108))**2*-4 + sqrt(108))*-6 + -4.
-13084 - 1254*sqrt(3)
Simplify 1*((-1 + -1*sqrt(1331)*6 - (0 + 3*(sqrt(1331) + 1 - sqrt(1331)))) + 5)**2 + 2.
-132*sqrt(11) + 47919
Simplify 1 + (5*((sqrt(605) + (sqrt(605) - (-2 + sqrt(605) + -5)) - sqrt(605)) + sqrt(605) + -2 + sqrt(605) + -2) + 4 + 1)**2.
4400*sqrt(5) + 60901
Simplify (-1 + 0 + sqrt(125) + 1 + -1 + 4*(sqrt(125) + 0) + sqrt(125) + sqrt(125) + -6*(1 + sqrt(125)))**2.
-70*sqrt(5) + 174
Simplify (-2*(sqrt(104) + (sqrt(104) - 3*2*sqrt(104)) + sqrt(104) - -2*sqrt(104)*-2)/(-2*-2*sqrt(800)))**2*1 + 3.
1837/400
Simplify 6*((sqrt(190) - sqrt(190)*-2*4 - sqrt(190))/((sqrt(30) + 1*sqrt(30))/sqrt(3)) - ((2 + -1 + sqrt(19))**2 + 3 + 1)).
-144 + 12*sqrt(19)
Simplify (-5*(sqrt(468)*-1 + sqrt(468) + sqrt(468) - sqrt(468)) + -4 + -3 + -1 + -6*(2 + sqrt(468) + 1) + -2)**2.
2016*sqrt(13) + 17632
Simplify 6*(((6*sqrt(209)*-3 + sqrt(209) + sqrt(209))*-5)/(-4*-3*sqrt(11)*3) + 0).
40*sqrt(19)/3
Simplify 1*(-1 + -1*sqrt(1300))**2 + (0 + (sqrt(104)/(sqrt(4)*-2))/sqrt(2))**2.
20*sqrt(13) + 5217/4
Simplify 4*((2 + sqrt(1539) + 1 + sqrt(1539) - sqrt(1539))*6 + (2*sqrt(2736) - sqrt(133)/(sqr | {
"pile_set_name": "DM Mathematics"
} |
-0.0632 - -0.032?
-0.0312
-1.983+0.755
-1.228
What is the difference between 0.02 and -1.62?
1.64
What is 0.1926 less than -28?
-28.1926
Subtract 3.7 from -3.3.
-7
Total of 1.1 and -0.719.
0.381
-0.203+0.6284
0.4254
3.5 - -2305
2308.5
Add 219 and 0.192.
219.192
What is the difference between 1090 and -4?
1094
What is 1 - 2161?
-2160
Calculate -5 - -0.149.
-4.851
Calculate 13419 + -4.
13415
What is the distance between 3.45 and -87?
90.45
Add -360 and 0.02.
-359.98
16.41 - 0.3
16.11
What is -0.01 minus 5?
-5.01
0.01+-0.11832
-0.10832
What is -9 + -122?
-131
Add together 0.1 and 221.
221.1
What is the difference between 314.6 and -0.1?
314.7
Work out -3 - 4513.
-4516
What is -5 take away -0.6579?
-4.3421
What is -2 less than 49622?
49624
Work out 0.14585 - -4.
4.14585
Calculate -33122 - -8.
-33114
Total of 139 and -2200.
-2061
What is 14 less than 14.813?
0.813
What is 0.87 + -4072?
-4071.13
Put together -0.1 and 3157.
3156.9
Work out 0.11 - 18.
-17.89
What is 8 plus -1245?
-1237
What is -6 take away 33?
-39
What is -298 + 1057?
759
What is 115.7 + 50?
165.7
What is -66475 minus 0.1?
-66475.1
133.2 - -62
195.2
What is -0.2 minus 64.3?
-64.5
Sum 5 and -134.9.
-129.9
What is -0.5 take away -0.2409?
-0.2591
Add together -0.2 and -11288.
-11288.2
What is -16479 take away -3?
-16476
Work out -3.5384 + -1.
-4.5384
Total of -11874.2 and 5.
-11869.2
-24 - 0.106
-24.106
Total of 29 and -0.035153.
28.964847
What is the difference between 67.44 and -0.5?
67.94
What is -0.028 less than -2?
-1.972
Work out -147 + -40723.
-40870
What is -0.13 take away 0.011?
-0.141
What is -0.406 less than -3?
-2.594
What is 9504 take away -5?
9509
What is the distance between 8002 and 8?
7994
What is the difference between -18.532 and 0.04?
18.572
What is the difference between 60.96489 and -4?
64.96489
What is the distance between -1232 and 1.665?
1233.665
What is -1045 less than -4?
1041
Put together -10.55 and -0.4.
-10.95
What is 0.27 plus -2678?
-2677.73
Sum -988 and -0.322.
-988.322
Calculate -8505 + 16.
-8489
-0.2+-580
-580.2
What is the difference between -21 and -53?
32
0.9+111
111.9
What is -0.02 - -5.81?
5.79
52 - 162
-110
What is the distance between 0.1 and -15309?
15309.1
Work out 995.82 + 1.8.
997.62
What is -535 minus 6?
-541
Put together 2.1 and 10.
12.1
Subtract -0.78762 from -1.
-0.21238
What is -3594 - -1?
-3593
What is -4 - -0.084?
-3.916
Subtract -0.5 from 5.79.
6.29
0.1 - 54.6
-54.5
What is -241.1 + 5?
-236.1
Work out 0.0562 + 0.13.
0.1862
Sum -0.02 and 26285.2.
26285.18
What is -0.03 minus 0.106352?
-0.136352
1 + 1579.6
1580.6
What is -0.01 + -376?
-376.01
Add 539998 and -1.5.
539996.5
What is 107.3 plus 10787?
10894.3
Sum -0.067 and 486.
485.933
What is the distance between -591.67 and -29?
562.67
-0.0531 - 0.16
-0.2131
-4718.3 - 89
-4807.3
0+-0.0068948
-0.0068948
Calculate -1683522 + -4.
-1683526
What is 0.3 take away 17.61?
-17.31
Total of -0.0589 and -6.
-6.0589
What is -23048 + -9?
-23057
What is 121.19 - 0.0007?
121.1893
Calculate 14.07 - -48.
62.07
Calculate -722 - 87.
-809
Work out 0.71259 + -6.2.
-5.48741
Put together 0.7 and 97.
97.7
What is 420 take away 7?
413
What is -43 - 640?
-683
What is -0.1 - 146894?
-146894.1
Calculate 8189 + 19.
8208
Calculate 0.3852 - 0.3.
0.0852
Total of 79 and 0.0393.
79.0393
What is 0.773 + -5?
-4.227
Add together 0.3 and 72.
72.3
Subtract 11 from -480.
-491
What is the difference between 8 and 26746?
26738
What is -0.099 less than -4.21?
-4.111
What is 36 + 38975?
39011
Add 83 and 2.
85
What is the distance between -0.2 and -8.4185?
8.2185
102.869+0.1
102.969
What is 0.01 + 353?
353.01
What is -20.849 - -1?
-19.849
What is the difference between 5.037 and -68?
73.037
Put together 1573.86 and -73.
1500.86
What is 368994.7 + 3?
368997.7
What is 0.1 minus 58.25?
-58.15
What is -0.3 less than -1.212?
-0.912
What is -2 take away -375?
373
What is 5 + -32.51?
-27.51
Calculate 736178 + -4.
736174
Total of -0.7 and 75.
74.3
What is -0.4 plus 881?
880.6
What is -176 take away -16.1?
-159.9
Calculate 0 - -1383062.
1383062
What is 317029 less than 3?
-317026
Total of 77 and 6523.
6600
Add together -0.14357 and -0.06.
-0.20357
Calculate 61 - 818.
-757
15154 + 1.8
15155.8
-0.41 - 5.82
-6.23
Add 2 and 998636.
998638
What is -1964143 take away -4?
-1964139
Subtract -0.016 from 241.57.
241.586
Total of 2 and -4445.
-4443
What is -116.9 + -0.07028?
-116.97028
Work out 0.08 + 0.311.
0.391
What is 0.03 less than 1109?
1108.97
What is -2 less than 0.65?
2.65
Total of 0.04 and 33459.3.
33459.34
What is -6 take away 0.095?
-6.095
Calculate 0.054 + -2072.6.
-2072.546
Sum -24 and -1142.
-1166
What is 14 take away -7.07?
21.07
Sum 0.15 and 4333.
4333.15
Work out 0 - -3.2223.
3.2223
What is -148.2 less than 0?
148.2
-36.3 - -1.9
-34.4
Work out -2409 + -0.087.
-2409.087
1 + -0.14005
0.85995
Sum -36 and 0.507.
-35.493
What is 188 less than 20.677?
-167.323
Subtract 0.027 from 14.
13.973
Add together 124 and 0.4.
124.4
Calculate -3 - 437.
-440
-2.64951 + -2
-4.64951
What is 2249 take away -0.3?
2249.3
Total of -13 and -0.0498193.
-13.0498193
What is the distance between 5 and -48800?
48805
-0.12 - -0.054
-0.066
What is -34.65 - 1?
-35.65
Calculate 990382 - -5.
990387
Total of 0.2 and 139.
139.2
Add 2 and -8080.
-8078
Calculate 478029 + 0.5.
478029.5
Put together -0.09 and 13.01.
12.92
Add 41 and -0.68914.
40.31086
What is the distance between -0.28 and 0.06921?
0.34921
What is the distance between 0.898 and -85?
85.898
-87.1 - -30
-57.1
Put together 157016 and 0.5.
157016.5
What is -111461 less than -1.7?
111459.3
What is -23 less than 1236.56?
1259.56
3558 + -0.7
3557.3
What is -149 - 1.5?
-150.5
What is 53170 plus -0.19?
53169.81
What is 137 plus 5?
142
94+6
100
Subtract 9 from -430.86.
-439.86
Total of 1 and -11695.
-11694
Calculate -7.272 - -2.3.
-4.972
What is -0.4 minus 1.0993?
-1.4993
Add together -0.4618 and 1.
0.5382
Add together 0.1887 and -1.9.
-1.7113
-1974 - 5
-1979
-828621 - 0.1
-828621.1
Work out 336.8 + 3.7.
340.5
Calculate 5 + 268454.
268459
Work out -1.597 + 0.43.
-1.167
Add 262.7 and 2.
264.7
What is -3202 less than 1?
3203
Subtract -336 from -292.2.
43.8
Add 4775 and -2.
4773
Total of -2279 and -11.
-2290
What is -5 take away 0.2189?
-5.2189
Subtract 20047 from 1.1.
-20045.9
-1.44+-8
-9.44
Add together 4 and 108.1.
112.1
-898 - 1
-899
What is -1.0790544 - 3?
-4.0790544
What is -0.02 - 0.363?
-0.383
Total of -42 and 10.65.
-31.35
Sum -0.2 and -82930.
-82930.2
What is the difference between -0.0032 and -0.1?
0.0968
Total of 99531 and 0.5.
99531.5
What is 0.10624 plus 46?
46.10624
What is -395206 minus -1.6?
-395204.4
5046+-0.14
5045.86
What is -0.5238 - -80?
79.4762
Add together -1.26 and 11.
9.74
What is 3.3711 take away -51?
54.3711
Add together 10648 and -0.01.
10647.99
What is -520.2 + -0.059?
-520.259
Work out -59 + 1.62.
-57.38
Calculate -0.4 + -446.
-446.4
What is 5 + 1004?
1009
Total of 20974 and -0.01.
20973.99
Put together -1552.5 and -51.
-1603.5
What is 23010 minus -13?
23023
-0.028+-22.988
-23.016
Work out -142374 + 5.
-142369
Work out -1320 - 871.
-2191
Sum 12 and 44156.
44168
Total of 1.63 and 275.8.
277.43
What is the distance between 3 and 5592?
5589
Total of -242.7 and 69.
-173.7
Subtract -22.1984 from 2.
24.1984
What is -4 - 38.168?
-42.168
What is the difference between -934751 and -0.5?
934750.5
What is -3134 minus 5?
-3139
What is the distance between 3 and 23.836?
20.836
What is the distance between -258067 and 3?
258070
What is -128.3 plus 26?
-102.3
What is the difference between -66.478 and -2?
64.478
Work out 8 + -289.
-281
What is -973 take away -0.2?
-972.8
What is the difference between -31 and 0.6849?
31.6849
Work out -0.39 + 394.
393.61
What is 4 take away -62.2?
66.2
Work out 8 - 0.3409.
7.6591
Calculate -0.287361 + -15.
-15.287361
Put together 1.08 and 1884.
1885.08
What is -17.02 minus 929?
-946.02
What is 0.1 - 3.04?
-2.94
Total of 1 and -998.
-997
Total of -17587 and -0.01.
-17587.01
Calculate 0.1 - -278.
278.1
What is -0.4 minus 33.9?
-34.3
Work out 6.8 - -66.9.
73.7
Work out 2754 + 715.
3469
Add together 975 and -0.4.
974.6
Calculate -30 - 480.
-510
What is the difference between -0.5 and -349?
348.5
What is -486 minus -0.28?
-485.72
What is the distance between 1319520 and 1 | {
"pile_set_name": "DM Mathematics"
} |
= -12 + 15. Suppose 5*g = -4*v + d, 3*g - 6*g = -2*v + 7. Solve 4*x - v = y - 0*y, -5*y + 5*x = -5 for y.
2
Let j be ((-1)/2)/(1/(-6)). Let u = j + -1. Let p be (1460/(-300) + 5)*(1 - 6)*-9. Solve -5 = u*k + b, 4*b + p = -3*k - 4 for k.
-2
Suppose -w + 27 = 3*n + 12, -4*n - 4*w + 12 = 0. Solve b - 2 = 0, -z + n = -4*b + 8*b for z.
-2
Let o be (-58)/2*1 - 2. Let y = -24 - o. Solve -10 = 5*h - 2*n, -2*h + n = h + y for h.
-4
Let b(u) = -2*u + 30. Let q be b(14). Suppose 0*t = t - q. Solve 0 = -5*m - v - 20, 6*m + t*v = m - 15 for m.
-5
Suppose -195 = -p - 4*p. Let w = p + -31. Solve 2*o = -o - 4*i - 1, 2*i = -w for o.
5
Let f be 10*(36/30)/3. Let x = 5 - 5. Solve -f*g = -x*g + 5*u - 11, 2*g - 13 = 5*u for g.
4
Let g(m) = m**2 - 20*m + 46. Let j be g(18). Solve 3*p - 2*u = 6, -10 = -2*p - 4*u + j for p.
4
Let n(b) be the second derivative of -b**5/20 - 23*b**4/12 + b**3/6 + 27*b**2/2 + 34*b. Let y be n(-23). Solve 4*q - 4*x + 24 = 0, 22 = -5*q + x + y for q.
-3
Suppose -5 - 15 = -5*q. Suppose -y - 7 = -5*z, -11 = -28*z + 24*z - y. Solve 3*u - 3 = -3*h, -z*h - q*u + 17 = u for h.
-4
Let t(w) = -3*w - 21. Let k be t(-9). Suppose -3 = -3*g + k. Solve 0 = -g*m + 3*z + 24, -5*m + 0*z + 2*z + 31 = 0 for m.
5
Suppose -8*d + 21 = -11. Let a(o) = o + 7. Let b be a(d). Solve -h + 0*w - 10 = -3*w, -5*w = 4*h - b for h.
-1
Suppose -4 = -0*g - 2*g + x, -2*g - 3*x + 20 = 0. Suppose 2*t = -1 - 7, -v = -t - g. Suppose v*s - 2*s = -2. Solve 3*a + 19 = -5*z, 3*z = -2*a + 2*z - s for a.
2
Let d be 396/(-110)*10/(-6). Solve 3*u + 2*p + 0 = -d, -3*u + 2*p = -6 for u.
0
Let o(t) = 2*t**2 - 44*t + 149. Let i be o(18). Solve -5*q + 2*r - 8 = -28, r = -i for q.
2
Let a(l) be the first derivative of l**3/3 + 10*l**2 + 40*l + 29. Let i be a(-18). Solve -w + 3 = 2*j - 9, -i*j - 4*w = -32 for j.
4
Suppose 2*o = -13*o + 15. Solve 3*g + k = o, 5*g + 5 = 5*k - 0*k for g.
0
Let p be (-4)/12*(1 + -1). Suppose p = -5*k + k - 24. Let s be -1 + ((-12)/4 - k). Solve 30 = s*f + f - 3*v, f = -3*v - 10 for f.
5
Suppose 0 = -17*i + 15*i + 5*n + 21, 0 = -5*n - 15. Solve -4*t - 4*s + i = -9, t = -3*s + 11 for t.
-1
Let g be (6 - 133/21)*-9. Solve -5*d + g*a = -a - 4, 2*d - 2*a = 0 for d.
4
Let b be (26/10)/((-2)/(-10)). Let x = b - 9. Let r = -2 + 4. Solve r = -2*o - 5*j - x, 2*j = -4 for o.
2
Let a = 52 - 48. Solve a*u = -2*q + 16, 2*u - 16 = 3*q - 0*q for u.
5
Suppose 4*z = 20, -2*l + 5*l + z - 14 = 0. Solve 16 + 2 = -4*o + 2*p, -l*o - 3*p = 0 for o.
-3
Let m = 401 + -398. Solve -2*b + m*j = 7, 5*b + 10 = -3*j + 8*j for b.
1
Let d = -2 + 4. Suppose -g + d = -0. Solve -3*c + 4*z = -29, -4*c + g*z = -3*c - 13 for c.
3
Suppose -2*n + 5*c = c - 162, 3 = c. Let i = n - 84. Solve 0 = -2*m - 3*y - 11, i*m + y - 2*y = 0 for m.
-1
Suppose -3*x + 8 = -7*x. Let k(q) = 5*q + 14. Let s be k(x). Solve 12 = s*g + 3*y - 8, 4*y + 10 = 2*g for g.
5
Let z be 10/35 - (-1)/((-14)/(-38)). Solve -5*g - 2*x + 25 = 3*x, -2*g + z*x = -10 for g.
5
Let s(d) = 7*d - 14. Let j be s(2). Suppose 4*w + 16 = -j*k - 4*k, 2*k = 5*w - 15. Solve -w - 1 = h, -u = -4*h - 4 for u.
-4
Let f = -8 - -14. Suppose -37 = 10*w - 67. Solve -f = 3*u - 3*t, -w*t - 1 = u + 3*u for u.
-1
Suppose -4*l = w - 14, -4*w - 13 = -5*l - 3*w. Let j be 3/(-18)*l + 54/4. Solve -r - j = -5*c - 0*r, 3*c = -4*r + 17 for c.
3
Suppose 0 = 4*d - 2*r - 42, -2*d - 4*r = -4*d + 36. Let i = 6 + d. Solve 0 = 3*h - 3*f - 9, -2*f + 0*f = 3*h - i for h.
4
Let u be 40/(-25) + 19/(-20)*-8. Solve u = -9*b + 7*b, 5*b + 15 = -4*j for j.
0
Let n(y) = 2*y + 12. Suppose 0*z + 3*z + 24 = 0. Let g be n(z). Let s be 9 - (-6)/g*-2. Solve i - 20 = -3*i, -2*i + s = -2*j for j.
-1
Suppose 12*i + 3*t = 11*i + 17, -5*i + 5*t + 5 = 0. Solve i*v - 5*m + 1 - 36 = 0, -m - 1 = v for v.
3
Suppose 5*a = -a - a. Suppose -4*k = -5*x - 6, -3*k + 10 = -x - a*x. Solve k*j = -5*u + 2 - 0, u = -2*j - 2 for u.
2
Let w = -38 + 58. Suppose 5*v - 2*k = 13, 3*v + 2*k - w = -9. Solve 2*p - 3*b - 1 = -6*b, v = 3*b for p.
-1
Let p(l) = -l**2 + 29*l - 136. Let x be p(6). Solve 5*u + 2 = -x*m, -4*u = -3*m - 6 + 3 for m.
-1
Let c be 2 + (-56)/30 - 146/(-30). Solve 3*o = 5*g + 26, -c*g - 3*o = -2*o + 18 for g.
-4
Let g(o) = -o. Let p be g(-4). Let z be p/(-5)*(-70)/4. Let w = 20 - z. Solve -n = 3, -m + w = -0*n - 3*n for m.
-3
Let y(b) = b**3 + 5*b**2 + 7*b + 50. Let d be y(-5). Solve 17 = 2*z + 3*k, -4*z - 3*k + 4 = -d for z.
1
Let t(l) = -l**3 + 15*l**2 + 15*l + 23. Let m be (16/12)/((-1)/(-12)). Let w be t(m). Let y be (4/10)/(w/70). Solve -4*q + a + y = 0, q - 3*q + 4*a = -16 for q.
0
Let f be (-3)/(-81) - (-4960)/1674. Suppose 2*x = 5*g + 10, 2*g = -0*g - 4*x + 20. Solve q - f*h + 18 = 4*q, -2*h + 8 = g for q.
2
Let o be (-4)/2*-4*2 + 0. Suppose -t + 0*a - a + 6 = 0, -3*a = 2*t - o. Solve 4*z - 2 = 5*b, -t*b + 0 = -4*z - 4 for b.
-2
Suppose 0 = -11*k - 125 - 469. Suppose 447 = 5*j + 4*c, 0*j + 176 = 2*j + 3*c. Let x = j + k. Solve -5*o = 3*z - x, -2*z = 2*z - 5*o + 9 for z.
4
Suppose -4 + 10 = 3*s. Solve -2*p + 2 = 2*u, p + 3*u - 3 + s = 0 for p.
1
Suppose -4*g = -9*g + 90. Let v = g + -18. Suppose 0*f + 5*f - 80 = v. Solve -4*q + 3*q = -s + 7, -s = -4*q - f for s.
4
Let s be (24/18)/((-4)/(-6)) - -1. Solve 4*p + 0*k = -k - 8, 0 = -p + k + s for p.
-1
Let s(k) = -k**2 - 13*k - 35. Let h(g) = -4*g**2 - 8*g - 9. Let p be h(-2). Let y be s(p). Solve 2*n + 19 = -3*r, -n + r - 3 = -y for n.
-5
Let g(q) = -2*q. Let w(x) = -x**2 - x. Let i be w(-2). Let k be g(i). Solve -k*z + 5*n = -19, 3*z + 0*n = -4*n - 9 for z.
1
Let f = 177 - 174. Solve -5*x + 8*g - 5 = 3*g, 0 = -x + 5*g + f for x.
-2
Let f(o) = -o**2 + 10*o - 1. Let r be f(7). Let g = 27 - r. Solve 4*n - 4*u = -12, -2*n - 2*u = 3 + g for n.
-4
Suppose -5*m - 4*l = -105, 2*m + 3*l = l + 42. Solve 6*k - m = -5*f + 3*k, 0 = 5*f - k - 13 for f.
3
Let c = 35 - 43. Let p be ((54/15)/3)/(c/(-20)). Solve -z - 4*y + 15 = 0, y + 12 = p*z + 2*y for z.
3
Let q be 1 + (28/(-7) - (-1 + -2)). Solve u + q*o = o + 3, -2*u + 5*o = -6 for u.
3
Suppose -15*k = -213 + 33. Solve 3*g = -4*s + 8 + k, s - 5 = -5*g for g.
0
Let c be (-8)/36 + ((-94)/(-18))/1. Suppose 3*y = -c*g + 25, 0 = -2*g - 2*y + 3 + 11. Solve 0 = 2*z + 2*z - g*u - 4, -u = 2*z - 2 for z.
1
Let b = 548 - 543. Let m = 10 + -5. Solve b*n - 35 = 5*k, 2*k + 3*n - 2*n = -m for k.
-4
Let p = -5 - -3. Let y be (-2)/(-4) - p/(-4). Suppose 21*d = 13*d + 40. Solve d*w - 3*u + 2 - 8 = y, 4*w - 3*u - 6 = 0 for w.
0
Let q(t) = 23 + 3*t - 5*t - 9 + 3*t. Let u be q(-8). Solve -4*w - 2*z = u, 3*z = 3*w - 0*w for w.
-1
Suppose -2*p - 29 = -5*c - 89, 0 = -c + 5*p + 11. Let s be (-2 - -5) + 7/(c/(-4)). Solve 0*t - 20 = s*t, 2*o + t + 2 = 0 for o.
1
Let y(w) = -w**3 - 9*w**2 - 14*w + 6. Let j be y(-7). Solve -5*b - 4*q = -j, 2*q + 3*q - 10 = -5*b for b.
-2
Suppose 2*z + 24 = -0*z. Let u be (z/(-36))/((-1)/(-9)). Solve u*l + a + 3*a = 27, 3*l - a = 12 for l.
5
Let r(l) = -l**3 + 7*l**2 - 10*l + 26. Let w be r(6). Suppose 0 = -w*p - 5*p + 140. Solve -d - 3*d + p = -5*k, k - d = -4 for k.
-4
Let z = -4 - -4. Solve -5*n - a - 12 = z, -n + 15 = -4*n + 2*a for n.
-3
Suppose r = 5*p + 23, p = 3*r + 5*p + 7. Let w be r*14/6 + -2. Solve -l - 2 = 0, w*l - 4*l = -4*s - 22 for s.
-5
Let r = 41 - 19. Let j(h) = -28*h + 47. Let o be j(-4). Let c = o - 154. Solve -2*l = 3*m + r, c*l - 7 + 32 = 0 for m.
-4
Let o(k) = -4*k + 1. Let x be o(-3). Solve -9 = 4*r - r, 3*r + x = l for l.
4
Let n be 10/(-65) - 10/(-65). Solve 4*c + 2*u = -20, -c + 5*c - 5*u + 6 = n for c.
-4
Let y = -34 - -46. Let o be 3/y + 417/12. Let m be (-7)/o + (-11)/(-5). Solve -u - 24 = 3*x + m*u, -5*u = 15 for x.
-5
Let v be -1*((-4)/1)/2 - -1. Solve -24 = -5*g + 4*z, v*g + 0*g = z + 13 for g.
4
Suppose 15*n = 11*n + 12. Solve -5*b + b = 4, -n*m - 5 = -b for m.
-2
Let z(k) = k**3 - 9*k**2 + 3. Let p be z(9). Solve -g - b = -p, b - 2 = -3 for g.
4
Let w be (3/(-6))/(2/(-12)). Suppose -4*d = -n + 15 + 1, -d - w = 0. Solve -3*y - 2 = 3*v + 1, 5*v = 4*y + n for v.
0
Let b be -2*((-987)/294 - (-6)/7). Solve -2*o - o = -5*w + 35, b*o = -5*w - 5 for w.
4
Let b = 92 + 2. Let c be -1 - b/(-18) - 56/252. Let x be (-1)/2 + 87/6. Solve -y = 7*h - 3*h - 1, -2*h + x = -c*y for y.
-3
Suppose -4*a - 20 = -14*a. Solve x + 5*v - 3 = a, -2*v + 25 = 5*x for x.
5
Suppose 0 = 3*s - 2*s + 4*i | {
"pile_set_name": "DM Mathematics"
} |
tors of 65 + (-3 - b)*v?
2, 17
Let r = -6 + 12. Let j = -3 - r. List the prime factors of ((-4)/3)/1*j.
2, 3
Let i(k) = -k**3 - 6*k**2 + k + 9. Suppose -6*l = -6 + 42. What are the prime factors of i(l)?
3
Suppose 0*j - 5*j + 6795 = -4*x, 2*x - 1373 = -j. List the prime factors of j.
29, 47
Let f = 154 + -88. Let u be f/9*12/(-8). List the prime factors of -3 - ((1 - -2) + u).
5
Suppose -3*r + 2*c = -2*c + 14, -c + 15 = 5*r. Suppose -d - z - r*z + 3 = 0, d + 5*z = 3. What are the prime factors of 19 - ((-3)/d - -4)?
2
Let t be 6/((16/684)/2). Suppose t = -d + 10*d. What are the prime factors of d?
3, 19
Suppose d + 120 = 43. Let j = -34 - d. What are the prime factors of j?
43
Let o be (5/((-140)/(-8)))/(2/14). Suppose 0 = 5*m - o*m - 390. What are the prime factors of m?
2, 5, 13
Suppose -z + 4*v = z - 62, -5*v = -z + 16. Suppose 6 = -2*q, -170 = -3*h - 3*q - z. What are the prime factors of h?
2, 23
List the prime factors of 29926/12 + (1 - (-10)/(-12)).
2, 29, 43
Suppose -284 = -3*q + 97. Let o = q + -81. List the prime factors of o.
2, 23
Let q(o) be the first derivative of 29*o**3/3 + o**2/2 + o + 9. List the prime factors of q(-1).
29
Suppose -3*g = 2*l + 6, -3 = l - 0*g - 2*g. Let h(k) = k**3 + 4*k**2 + 2*k + 1. Let o be h(l). Let p = o + 57. List the prime factors of p.
61
Suppose 0 = 3*r + 3*t - 3111, 18*r = 17*r - 2*t + 1035. What are the prime factors of r?
1039
Suppose -1624 - 58 = -2*k. List the prime factors of k.
29
Let p be -2 + 3 + (-194)/(-1). Suppose 0 = -w + 4*w - p. What are the prime factors of w?
5, 13
Let v = -4 + 6. Let m be (v/(-6))/(3/(-36)). Suppose -w = -m*w + 93. List the prime factors of w.
31
Let f be 58/(-12) - 7/42. What are the prime factors of (-6)/(-15) - 493/f?
3, 11
What are the prime factors of ((-396)/30)/((-21)/1610)?
2, 11, 23
List the prime factors of (-20)/(-50) + 2536/10.
2, 127
Suppose 8*t - 6*t = 0. Let x(c) = c**3 - c + 110. Let s be x(t). Suppose 9*b = 4*b + s. What are the prime factors of b?
2, 11
Suppose -522 = 22*o - 46392. What are the prime factors of o?
3, 5, 139
Let i = -57 + 63. Suppose -2*u + 3*k + 108 = -15, 3*u - 207 = -3*k. What are the prime factors of i/(-3 - u/(-20))?
2, 5
Let b be (-3)/(-36)*141*4. Let r = -28 + b. Suppose 0 = -21*c + r*c + 6. List the prime factors of c.
3
Let b = 118 - 113. Suppose 0 = b*z - h - 1000, z + 4*h - 179 = -0*z. What are the prime factors of z?
199
Let j = -66 - -75. List the prime factors of j.
3
Let z be 14 - -99 - (-1 + -2). Suppose -5*m = -m - 2*h - 464, z = m - 3*h. Suppose 0 = 5*v - m - 119. List the prime factors of v.
47
Suppose -5*w - 4*i = -6535, -36*w + 3*i - 1307 = -37*w. List the prime factors of w.
1307
Suppose -5*n + 524 = -g, -2*g + 732 = 5*n + 205. List the prime factors of n.
3, 5, 7
Let d(w) = -w + 2. Suppose 3*a - 8*a - 15 = 0. Let o be d(a). Suppose -3*v + 96 = 4*h + v, -2*h + 63 = o*v. List the prime factors of h.
19
Suppose -5*z + 11 + 9 = 0. Let y = 0 + 0. Suppose 2*o + z - 10 = y. What are the prime factors of o?
3
Let o(p) = -29*p - 12. Suppose 4*d - 6*t + 20 = -t, 4*d - 4*t + 24 = 0. What are the prime factors of o(d)?
2, 139
Let q(g) = 10*g + 5. Let t(i) = 10*i + 4. Let v(k) = 2*q(k) - 3*t(k). What are the prime factors of v(-6)?
2, 29
Suppose 0*x = -3*x - t + 729, 4*t = -3*x + 729. What are the prime factors of x?
3
Let p = -66 - -152. Suppose 2*b - 38 = 2*f + 50, 0 = 2*b - 4*f - p. What are the prime factors of b?
3, 5
Suppose 65*k - 64*k = 2. Let t(z) = 17*z - 5. What are the prime factors of t(k)?
29
Let z(s) = 50*s**2 - s + 15. Let r be z(-7). What are the prime factors of 2/(-11) - r/(-44)?
2, 7
Suppose 21*f + 3136 - 38605 = 0. What are the prime factors of f?
3, 563
Let m = 290 - 72. What are the prime factors of m/4*(-4)/(-2)?
109
Suppose 2*q - 14 = -4*r, 3*r - 3 = 3. Let n be 80 + q/(9/6). Suppose 2*j = 8 + n. List the prime factors of j.
3, 5
Let x(a) = -a - 1. Suppose -o - 10 = -2. Let w be x(o). Suppose -2*t = -w - 57. List the prime factors of t.
2
Suppose 63*f - 65*f = -4. Suppose -m + 5*m + 2*g - 40 = 0, 3*m + f*g - 30 = 0. What are the prime factors of m?
2, 5
Let w be -2*-6*(-3)/(-12). Suppose 0*o + 5*o + 300 = 0. Let p = w - o. What are the prime factors of p?
3, 7
Let t = 853 + -499. List the prime factors of t.
2, 3, 59
Let y(s) = -264*s - 165. List the prime factors of y(-8).
3, 11, 59
Let t(b) = -92*b**3 - 2*b**2 + 16*b + 36. What are the prime factors of t(-2)?
2, 3, 61
Let w(r) be the second derivative of -r**6/360 - r**5/8 - r**4/6 - 12*r. Let q(n) be the third derivative of w(n). List the prime factors of q(-14).
13
Suppose -5*n = -3*t + 5*t, -4*n = -2*t. Suppose 3*g + 0*x = 4*x + 92, 3*x + 6 = t. What are the prime factors of g?
2, 7
Suppose -12*h + 1194 = -10*h. List the prime factors of h.
3, 199
Let s = 6535 + -4546. List the prime factors of s.
3, 13, 17
Let d(h) = -11 + 4*h**2 + 12 - h - 3*h**2. Let a(t) = t**3 - 7*t**2 + 9*t + 5. Let c(n) = -a(n) + 5*d(n). List the prime factors of c(10).
2, 3, 5
Let q = 66 - 54. Suppose 1312 = -4*w + q*w. List the prime factors of w.
2, 41
Let q(f) be the second derivative of f**5/20 - 2*f**4/3 - f**3 - 5*f**2 - 9*f. List the prime factors of q(9).
17
Let q = 2218 - 1331. What are the prime factors of q?
887
Let n be (11 + -9)/(2*-1). Let r be (-232 + n)/(-5 + 4). Suppose 0 = -5*c - 25, 4*j - 2*c - r + 79 = 0. List the prime factors of j.
2, 3
Suppose 0*n = 2*n + 42. Let r = n + 40. What are the prime factors of (0 - 0)/(-3) + r?
19
Let p be (-1 + 0/(-1))*7. Let v(c) = c**2 + 2*c + 7. What are the prime factors of v(p)?
2, 3, 7
Let k be -1 - (4 + (-8)/1). Suppose -2*o = 6*y - 3*y - 15, 3*y = k*o. Suppose -2*p = -y*w + 139, 2*w - 70 - 32 = -p. What are the prime factors of w?
7
Let s = 1021 - 690. List the prime factors of s.
331
Let n(m) = 96*m - 8. What are the prime factors of n(1)?
2, 11
Let j be (-1)/(-3) + (-56)/42. Let k = 16 + j. Let d = k + -11. List the prime factors of d.
2
Let j(n) = 2*n - 15*n**2 + 9 + n**3 - 4*n - 5*n - 7*n. What are the prime factors of j(16)?
41
Let n(x) = 2*x - 11. Let o be n(-8). Let d = -5 - o. What are the prime factors of d?
2, 11
Let h = 32 + -36. Let o(a) = -18*a - 14. List the prime factors of o(h).
2, 29
Suppose 0 = 2*j + 4*y - 1148, -8*j + 3*y = -12*j + 2301. What are the prime factors of j?
2, 3
Let u be -2*(-1)/(-2) + -1. Let m be (8/14)/(u/(-7)). Suppose -4*t + m*t + 36 = 0. What are the prime factors of t?
2, 3
Let x(a) = 60*a - 4. Let n be x(2). Let s = n - 66. What are the prime factors of s?
2, 5
Suppose 0 = 2*z + 2*b - 4280, z - 7*b + 4*b = 2132. List the prime factors of z.
2, 1069
Suppose 5*b - 5 - 10 = d, 3 = 2*b - d. Suppose 3*h - b*n = 219, -6 - 9 = -5*n. Suppose -h = -m - 3. What are the prime factors of m?
2, 37
Let f(o) = -o - 2. Let s be f(4). Let w be ((-8)/s)/((-4)/6). What are the prime factors of (w + 31)*(-1)/(-1)?
29
Suppose 18*q - 9009 = 12375. List the prime factors of q.
2, 3, 11
Let m = -47 - -55. Suppose m*o = 4*o + 176. What are the prime factors of o?
2, 11
Suppose -2272 - 274 = -2*p. List the prime factors of p.
19, 67
Let p(i) = 35*i**2 + i + 2. Let n be p(3). Let h = -220 + n. List the prime factors of h.
2, 5
Let t = 10249 - 5487. What are the prime factors of t?
2, 2381
Suppose 35 = 2*w + 9. Let k(h) = -h**3 + 12*h**2 + 13*h + 24. List the prime factors of k(w).
2, 3
What are the prime factors of ((-40)/24)/(-5) - (-1064)/3?
5, 71
Suppose -5*b + 37 + 38 = 0. Suppose w - b = 33. List the prime factors of w.
2, 3
Suppose -2*f = -7*f - 395. Suppose -59*b + 51*b = -1048. Let p = b + f. List the prime factors of p.
2, 13
Suppose -4*o = o - 520. Suppose -3*f = x - 0*x - o, 3*f = -15. List the prime factors of x.
7, 17
Let b(d) = d**2 + 4. Let a be b(0). Suppose -a*f = -4*z + 256, -2*z = -3*z - 5*f + 88. List the prime factors of z.
2, 17
Let b = -14 + 20. Let d(v) = 9*v + 11. What are the prime factors of d(b)?
5, 13
Let n(o) = -o - 10 - 1 + 2. Let f be n(-4). What are the prime factors of (160/(-3))/f*3?
2
Suppose -689 = -4*f - 5*w, -f - 9*w + 191 = -4*w. What are the prime factors of f?
2, 83
Let n(j) = 174*j**2 + 21*j - 47. List the prime factors of n(4).
7, 13, 31
Let f(l) = -13*l - 2. Suppose -3*w = 15, -2*a - 2*w - 25 = 3*a. Let i be 1 + a - (-1 + 1). List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s?
-2, 2
Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l).
-3*(l - 1)**3*(l + 7)**2
Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s).
5*(s + 11)*(4*s + 1)
Let b be ((-981 - -990) + 79/(-9))*3. Factor -6*r + b*r**3 - 34/9*r**2 - 14/9.
2*(r - 7)*(r + 1)*(3*r + 1)/9
Factor 41/4*a**3 + 49/4*a - 1 - 43/2*a**2.
(a - 1)**2*(41*a - 4)/4
Let p(r) be the third derivative of -1/12*r**5 + 1/12*r**4 + 1/30*r**6 + 0*r + 29*r**2 - 1/210*r**7 + 0 + 0*r**3. Find z such that p(z) = 0.
0, 1, 2
Let a(h) be the second derivative of -h**5/4 + 80*h**4/3 + 325*h**3/6 + 2*h + 214. Factor a(n).
-5*n*(n - 65)*(n + 1)
Let b(f) be the third derivative of f**6/120 - 17*f**5/60 - f**4/24 + 17*f**3/6 + 11*f**2 + 10. What is u in b(u) = 0?
-1, 1, 17
Let v(j) be the third derivative of j**7/210 + j**6/45 - 23*j**3/3 + 4*j**2 + 2*j. Let a(g) be the first derivative of v(g). Factor a(z).
4*z**2*(z + 2)
Let q = 332 + -471. Let w be (q/(-45) - 3)/((-48)/(-72)). Suppose -4/15*v - 2/15*v**4 + 4/15*v**3 + w*v**2 + 0 = 0. Calculate v.
-1, 0, 1, 2
Let g(h) be the third derivative of -h**7/420 + h**6/180 - h**5/360 - 1657*h**2. What is o in g(o) = 0?
0, 1/3, 1
Let q(m) be the third derivative of 0*m**3 + 1/6*m**4 + 0 + 48*m**2 - 3/10*m**5 + 4/105*m**7 + 0*m + 1/20*m**6. Find h, given that q(h) = 0.
-2, 0, 1/4, 1
Factor 126/5*n**2 + 246/5 - 371/5*n - 1/5*n**3.
-(n - 123)*(n - 2)*(n - 1)/5
Let x(q) be the second derivative of -3/20*q**5 - 212*q + 8*q**3 + 13/4*q**4 + 0 - 42*q**2. Let x(j) = 0. What is j?
-2, 1, 14
Let f(q) be the third derivative of 4/105*q**7 + 0*q**3 + 0*q**4 + 1/15*q**6 - 2*q + 0*q**5 + 9*q**2 + 1/168*q**8 + 0. Factor f(y).
2*y**3*(y + 2)**2
Let k(r) be the first derivative of -54 + 1/2*r**2 + 2/3*r + 1/9*r**3. What is s in k(s) = 0?
-2, -1
Let l(q) be the second derivative of q**4/72 + 145*q**3/18 + 286*q**2/3 + 5449*q. Suppose l(t) = 0. Calculate t.
-286, -4
Let c(g) be the second derivative of -243/2*g**2 + 0 + 67*g + 9*g**3 - 1/4*g**4. Factor c(h).
-3*(h - 9)**2
Determine a so that 25921/9 + 320/9*a**3 + 8426/3*a**2 - 51520/9*a + 1/9*a**4 = 0.
-161, 1
Let h = 1155 - 824. Determine i so that 331*i**2 + h*i**2 - 2 - 660*i**2 - 2*i + 2*i**3 = 0.
-1, 1
Let d = -13626 - -13629. Let i(z) be the third derivative of -1/40*z**6 + 29*z**2 + 0 + 0*z + 5/24*z**4 - z**d + 2/15*z**5. Solve i(k) = 0.
-1, 2/3, 3
Determine p, given that -28/9*p**2 + 2*p + 2/9*p**3 + 72 = 0.
-4, 9
Suppose 30 = 7*d - 54. Let 109*i**4 + 79*i - 5 + 244*i**3 + 102*i**2 - d*i**5 - 6 - 111*i = 0. Calculate i.
-1, -1/4, 1/3, 11
Let n(u) be the first derivative of 88 + 49/5*u**2 - 2401/5*u - 1/15*u**3. Let n(w) = 0. What is w?
49
Let q(x) be the second derivative of x**5/40 + 7*x**4/12 + 4*x**3 + x + 3191. Factor q(a).
a*(a + 6)*(a + 8)/2
Let b(i) = 32*i**4 + 257*i**3 - 743*i**2 - 626*i - 7. Let g(m) = -10*m**4 - 86*m**3 + 248*m**2 + 208*m + 2. Let n(f) = 2*b(f) + 7*g(f). Let n(q) = 0. What is q?
-17, -2/3, 0, 3
Suppose -100*x - 32046*x**3 + 198*x**2 - 2*x**4 + 64013*x**3 - 32063*x**3 = 0. Calculate x.
-50, 0, 1
Let t(a) = -168*a**2 - 5380*a - 126. Let n be t(-32). Let -1/4*l**n + 7/4*l + 15/2 = 0. Calculate l.
-3, 10
Let l(h) be the second derivative of -1/50*h**5 + 3/10*h**4 + 0 - 129*h + 2/3*h**3 + 0*h**2. Let l(k) = 0. Calculate k.
-1, 0, 10
Factor -2824/5 - 2/5*b**2 + 2826/5*b.
-2*(b - 1412)*(b - 1)/5
Let s(m) be the third derivative of 0 + 0*m + 0*m**4 + 33*m**2 - 1/360*m**6 + 0*m**3 - 1/9*m**5. Factor s(z).
-z**2*(z + 20)/3
Let o(a) be the second derivative of a**6/210 + 13*a**5/70 - 19*a**4/28 - 13*a**3/21 + 4*a**2 + 150*a + 2. Find t, given that o(t) = 0.
-28, -1, 1, 2
Let x(v) be the third derivative of -v**7/210 + 17*v**6/60 - 29*v**5/12 + 687*v**2 - 4. Factor x(h).
-h**2*(h - 29)*(h - 5)
Let c(w) be the first derivative of 2*w**3/3 + 61*w**2 - 384*w - 4031. Determine z so that c(z) = 0.
-64, 3
Let y = -24 - -52. Suppose r + 10 + 7 = 4*s, y = s - 5*r. Factor -365 - 670*b**2 - 27*b**4 - 33*b**4 + 91*b**3 - 376*b**s + 5 - 5*b**5 - 780*b.
-5*(b + 2)**3*(b + 3)**2
Solve -9*n**3 - 31*n**3 + 100*n**2 - 945*n**4 + 940*n**4 = 0.
-10, 0, 2
Let t(w) = -101*w**2 - 527*w - 100. Let q be t(-5). Let a = 445/2 - 216. Let a*p**3 - p**2 + 0*p + 0 - q*p**4 + 9/2*p**5 = 0. What is p?
0, 2/9, 1
Let m = 332 - 332. Let y(t) be the second derivative of -1/22*t**4 + 0 + 4/11*t**2 + 16*t + m*t**3 - 1/110*t**5. Suppose y(s) = 0. What is s?
-2, 1
Let a(q) be the first derivative of 5/3*q**3 - 25/2*q**2 + 30*q - 31. Suppose a(m) = 0. Calculate m.
2, 3
Let p be 22372/(-3290) + (-112)/(-15). Factor 14/3*k**4 + 0*k + 10/3*k**2 - 22/3*k**3 + 0 - p*k**5.
-2*k**2*(k - 5)*(k - 1)**2/3
Let j(c) = -c**3 - 23*c**2 - 18*c - 20. Let m be j(-14). Let u = -13750/9 - m. Factor 8/9 + 22/9*z**2 - u*z + 8/9*z**3.
2*(z - 1)*(z + 4)*(4*z - 1)/9
Factor -8/11*p + 2/11*p**3 + 0 + 0*p**2.
2*p*(p - 2)*(p + 2)/11
Factor 226/11*b - 224/11 - 2/11*b**2.
-2*(b - 112)*(b - 1)/11
Solve 14*g**3 + 30*g**2 - 35*g - 5*g**5 + 26*g**3 + 375 - 405 = 0.
-2, -1, 1, 3
Suppose -3*d + 5*a + 43 = 0, 3*d - 2 = -4*a - 4. Suppose 0 = -d*h + 41 - 17. Find w, given that -2*w + 8*w - h*w - 2*w**3 - 8 + 8*w**2 = 0.
-1, 1, 4
Factor 1/2*y**2 + 1605/2*y + 0.
y*(y + 1605)/2
Suppose 79*q - 26 = -5*v + 77*q, 3*q - 18 = 3*v. Let 34/3*i - 8/9*i**v + 26/9 = 0. Calculate i.
-1/4, 13
Let t = -6035 + 6038. Let n(b) be the third derivative of -2/27*b**t - 13*b**2 + 1/180*b**6 + 0*b + 2/135*b**5 + 0 - 1/108*b**4. Suppose n(u) = 0. What is u?
-1, 2/3
Let d = -267306 + 267306. Factor -3/7*r**3 - 3/7*r**4 + 0 + 6/7*r**2 + d*r.
-3*r**2*(r - 1)*(r + 2)/7
Let c(p) be the third derivative of p**8/36 + 68*p**7/315 + 47*p**6/90 + 4*p**5/9 - p**2 + 73*p - 3. Suppose c(o) = 0. Calculate o.
-20/7, -1, 0
Let w(u) be the first derivative of 121*u**6/720 + 11*u**5/20 + 3*u**4/4 - 19*u**3 + 24. Let h(b) be the third derivative of w(b). Factor h(n).
(11*n + 6)**2/2
Let s(a) be the third derivative of 5 + 0*a - 31/156*a**4 + 7/390*a**5 + 4/13*a**3 + 2*a**2. Suppose s(g) = 0. Calculate g.
3/7, 4
Let j = 516 - 514. Let h be (4/12)/(j/12). Solve 26/5*r**h - 12/5 + 18/5*r**4 + 34/5*r - 66/5*r**3 = 0.
-2/3, 1/3, 1, 3
Factor -638991*s**2 - 550 - 55*s**3 + 53*s**3 + 638917*s**2 - 622*s.
-2*(s + 1)*(s + 11)*(s + 25)
Let l(x) = x**3 + 5. Let d(r) = 165*r**3 + 1066*r**2 + 316*r + 4. Let k(q) = -3*d(q) - 12*l(q). Suppose k(z) = 0. Calculate z.
-6, -2/13
Let b(h) = 445*h + 133945. Let f be b(-301). Factor f - 26/17*g + 2/17*g**2.
2*g*(g - 13)/17
Suppose 0 = -12*p + 11*p + 323. Suppose 4*y + 0*y + p = 3*t, -t - y + 96 = 0. Find b such that -t*b - 4*b**2 + 53*b + 48*b + 16 = 0.
-2, 2
Let u = -7 - -10. Suppose 5*h - 10*f = -5*f + 15, -5*h - 5*f = -5. Factor -u*b**2 - h*b**2 - 45 - 8*b + 4*b + 34*b.
-5*(b - 3)**2
Factor -274/3*s - 184 + 1/3*s**2.
(s - 276)*(s + 2)/3
Let y(g) = g**3 - 12*g**2 + 11*g - 3. Suppose -45*i + 40*i + 15 = 0. Let z(w) = -4*w**3 + 60*w**2 - 56*w + 14. Let s(n) = i*z(n) + 14*y(n). Factor s(u).
2*u*(u - 1)*(u + 7)
Let j(y) be the second derivative of y**4/3 + 668*y**3/3 + 1328*y**2 + 4140*y. Let j(v) = 0. Calculate v.
-332, -2
Let w(k) be the first derivative of -k**4/4 + 199*k**3/4 - 11025*k**2/4 - 16875*k/4 - 1649. Factor w(m).
-(m - 75)**2*(4*m + 3)/4
Solve 1/4*j**3 + 12 + 10*j + 11/4*j**2 = 0 for j.
-4, -3
Let x(b) = 1543*b - 1585*b - 3*b**2 + 59 - 204. Let l(j) be the first derivative of -j + 4. Let p(f) = -2*l(f) - x(f). What is y in p(y) = 0?
-7
Let k = 81256 - 568774/7. Suppose -k - 12/7*n**2 + 75/7*n = 0. Calculate n.
1/4, 6
Factor -22*f - 18*f - 2*f - 72 + 64*f + 8*f - 3*f**2.
-3*(f - 6)*(f - 4)
Suppose o + 4*r = -854, -878 = 12*o - 11*o - 4*r. Let h = -834 - o. What is z in -h - 1/2*z**2 + 8*z = 0?
8
Let o(i) be the second derivative of i**4/24 + 10*i**3/3 + 351*i**2/4 + 14142*i. What is w in o(w) = 0?
-27, -13
Let w(g) = 2*g**5 + 7*g**4 - 9*g**3 - 19*g**2 - 3*g + 7. Let o(l) = -l**4 - l**3 + l**2 - l - 1. Let k(v) = -10*o(v) + 2*w(v). Let k(f) = 0. Calculate f.
-6, -1, 1
Let s be (2/4)/((-149)/(-1490)). Let g(z) be the second derivative of 1/110*z**s + 0 + 1/11*z**4 + 4/11*z**3 + 8/11*z**2 + 4*z. Factor | {
"pile_set_name": "DM Mathematics"
} |
5*n + 4. Let r be a(5). What is the highest common factor of 44 and r?
4
Suppose 2*a + 440 = 6*a. Let p = -15 - -25. What is the greatest common factor of a and p?
10
Suppose 0 = 3*f + 11 - 2. Let s be 14/(-1)*9/(-6). Let k = s + f. Calculate the highest common factor of k and 27.
9
Let g(x) = -3*x - 2. Let n be g(-3). Let h be (-2)/n - (-8)/28. Let w be h - -16 - 0/(-1). Calculate the highest common divisor of w and 4.
4
Let f(o) = 27*o**2 + 2. Let n be f(2). Calculate the greatest common factor of 10 and n.
10
Let y(t) = t**2 + t - 5. Let i be 0 + 1 - 2 - -5. Let z be y(i). Let k = 30 - z. Calculate the highest common divisor of k and 6.
3
Suppose -4*o + 12 = -0*o. Suppose -15 = o*c, c - 2*c = -4*j + 113. Let h be (1/(-1))/((-1)/9). Calculate the highest common divisor of j and h.
9
Suppose 3*a + 114 - 309 = 0. What is the highest common factor of 26 and a?
13
Let g(y) = 2*y**2 + 9*y + 10. Let q be g(-6). Suppose 13 = -3*z + 34. Calculate the highest common factor of q and z.
7
Let c = 51 + 66. Let y = -34 + 23. Let i = y - -24. Calculate the greatest common factor of c and i.
13
Let o = 62 - 38. What is the greatest common divisor of o and 12?
12
Let h(i) = i**3 - 4*i**2 + 4*i + 4. Let u be 10/2 - (0 + 1). Let v be h(u). Let c = v - 8. What is the highest common divisor of 96 and c?
12
Suppose -4*p + 334 = -2*d + 76, -3*p + 188 = 4*d. Let v = -36 + 52. Calculate the highest common factor of v and p.
16
Suppose 103 = 2*t - 167. What is the greatest common divisor of 27 and t?
27
Let f be (-24)/10 + (-2)/(-5). Let p be -17*(1 + f)*1. What is the greatest common divisor of 170 and p?
17
Suppose -30*l + 231 = -129. Suppose -p + 2*w = -8, 14 = -p + 2*p + w. What is the greatest common factor of p and l?
12
Let m be (42/(-8))/(-7) - 61/(-4). Calculate the highest common divisor of 40 and m.
8
Let a be 5*(-2)/(-4)*2. Let w be (-3)/(-15) + 114/a. What is the greatest common factor of w and 230?
23
Let r(n) be the second derivative of -n**4/12 - 7*n**3/6 + n**2/2 - 2*n. Let k be r(-6). Calculate the highest common divisor of 56 and k.
7
Let g = -62 + 82. Calculate the greatest common factor of 220 and g.
20
Let y be (-8)/(-1 + 0 + 0). Let n = 2 - 6. Let c(a) = 4*a**2 - 2*a. Let g be c(n). What is the highest common divisor of y and g?
8
Let h(p) = 2*p**2 - 16*p - 15. Let z be h(13). Let o = -33 - -56. What is the greatest common factor of z and o?
23
Suppose -375 = -10*f + 225. What is the highest common divisor of f and 420?
60
Suppose -4*w + 396 = -2*v, -2*w - 4*v + 108 = -w. Let p = -2 - -5. Suppose 3*q = p*k - 69, 3*q = -5*k + q + 94. What is the highest common divisor of w and k?
20
Suppose -2*g + 60 = g. Suppose -2*k + k = -g. Calculate the highest common divisor of 220 and k.
20
Let f = 186 - 87. Let t be 3/9*78/2. Let l = t + -4. What is the highest common factor of f and l?
9
Let h(u) = u**2 - 9*u + 9. Suppose 0*m - 3*m = -27. Let v be h(m). What is the greatest common factor of v and 72?
9
Let y = -741 + 1473. Suppose 5*n - 279 = -2*a - 0*a, 0 = 5*a + n - y. Let c be ((-4)/6)/((-2)/a). Calculate the greatest common divisor of c and 7.
7
Suppose 4 = 3*q - s - 3, 5 = -5*s. Suppose 2*r - q - 2 = 0. Suppose -r = -v + 4. Calculate the greatest common divisor of 12 and v.
6
Suppose 0 = -2*v + 125 - 39. Suppose a = -j + 2 + 8, 4*a + 3*j - v = 0. What is the greatest common divisor of a and 13?
13
Let b be (9/15)/((-2)/(-10)). Suppose 2*k = -4*j, -4*j = -2*k - b*j + 10. Let s be 23/2 - 6/k. Calculate the highest common factor of s and 20.
10
Suppose 3*s = g - 5*g + 115, -s - 45 = -2*g. Let l(j) = -3*j - 3. Let q be l(4). Let a be (q/2)/(3/(-4)). Calculate the highest common divisor of g and a.
5
Let v(u) = 19*u**3 - 2*u**2 + 1. Let l be v(1). Suppose -2*c = -2*q + 246, -4*c - 366 = -3*q - 0*q. Calculate the greatest common divisor of q and l.
18
Let l(t) = -t**2 - 6*t - 2. Let q(n) = -n**2 - n - 4. Let b be q(0). Let v be l(b). Calculate the highest common divisor of v and 6.
6
Let j be (-30)/4*-2 + (-4 - -6). What is the greatest common factor of j and 221?
17
Suppose -4*f - i + 61 = 0, 2*f - 22 = -2*i + 10. What is the highest common divisor of f and 105?
15
Let b(z) = 5*z**2 - 2*z - 1. Let d be b(2). Suppose 0 = -2*u - 2*u. Suppose u = -3*m + d + 9. Calculate the highest common factor of m and 88.
8
Let z = -15 + 17. Calculate the greatest common factor of 14 and z.
2
Let l be -10*(-2 - (-8)/5). Let k = l + -3. Let i be 5 + (4/2)/k. Calculate the greatest common divisor of 35 and i.
7
Let k be 339/11 - 16/(-88). Suppose k = 4*g - 13. Calculate the greatest common divisor of g and 44.
11
Suppose 0 = 4*n + 4*y - 40, 4*n + 2*y = 5*y + 26. Suppose -n = -4*q + 76. Suppose 2*k + k = q. What is the highest common factor of 7 and k?
7
Suppose 0 = 5*u + 10, -54 = 4*i + 6*u - 3*u. Let q be (13/(-3) + 1)*i. What is the highest common divisor of q and 60?
20
Let g = 10 + -5. Suppose g*n + k - 4 = 0, n + 3*k + 3 = 1. What is the highest common divisor of n and 7?
1
Suppose -5*w + 6 = -4. Let g(j) = 2*j - 2. Let c be g(w). Suppose 3*h - 5*d - 36 = 0, -4*d + d = h + c. What is the highest common divisor of h and 14?
7
Let c(z) = z**2 - 10*z + 24. Let m be c(10). What is the highest common factor of 72 and m?
24
Let z = 37 - 27. Calculate the highest common factor of z and 2.
2
Suppose -5*w = -3*j + 101, j + 4*w + 4 = 32. Let q be (-2)/5 - (-42)/5. Calculate the highest common divisor of j and q.
8
Let x be (-128)/(-20) - (1 + (-6)/10). Calculate the highest common factor of 6 and x.
6
Let i(z) = z + 6. Let x be i(16). What is the greatest common factor of x and 2?
2
Suppose 3*x = -2*x + 855. What is the greatest common divisor of 19 and x?
19
Let t = 7 - -2. Calculate the greatest common factor of t and 36.
9
Suppose -7 - 133 = -5*r. Suppose 2*l - 9 = -1. Calculate the greatest common factor of r and l.
4
Suppose 3*h - 8*h = 0. Suppose -2*w - 10 = -h*w. Let a = w + 9. What is the highest common divisor of 4 and a?
4
Suppose -4*t = -20, -t + 219 = 4*j - 2*j. Suppose 37 = -5*k + j. Calculate the highest common divisor of k and 2.
2
Suppose -3*k = -2*n + 61, -n - 4*k = 4*n - 210. What is the highest common divisor of n and 304?
38
Suppose c - 2*b - 94 = 0, -c + 85 = -3*b - 8. Calculate the greatest common divisor of c and 24.
24
Let q(f) = 8 + 3*f**3 + 2*f**3 - 4*f**3 - 7*f**2. Let w be q(7). Calculate the highest common factor of w and 8.
8
Let f = -110 + 214. Let u be (-10)/14 + 6/(-21). Let p(o) = -14*o**3 - 2*o**2 + 1. Let l be p(u). Calculate the highest common factor of l and f.
13
Let a(t) = 4*t**3 + 2*t - 1. Let y be a(-3). Let w = y + 191. Suppose 20 - w = -4*k. Calculate the highest common factor of 14 and k.
14
Suppose -4*v - 416 = -3*i - i, 3*i - 314 = v. Let n be 71 + 0/1 - 1. Calculate the greatest common factor of i and n.
35
Suppose 2*p + 93 = 4*k + 305, -233 = -2*p - 3*k. Suppose 0 = -3*y - 3 + 6. Let f be 12 - (2 - 4/y). What is the greatest common divisor of p and f?
14
Suppose -5*r = -3*r. Let c(j) = j**2 + j + 20. Let n be c(r). Calculate the highest common divisor of 5 and n.
5
Let i = 56 + 6. Let l = -7 + i. Let r = 77 - 55. What is the highest common divisor of l and r?
11
Let b(z) = z + 42. Let n be b(0). Let x = 26 - 4. Suppose -5*i = -3*s + 37 + x, 0 = s + 5*i - 53. Calculate the greatest common divisor of n and s.
14
Let c be (-260)/(-16) - (-1)/(-4). Calculate the greatest common factor of 8 and c.
8
Let s(j) = -42*j - 3. Let t be s(-2). Suppose -12 = -3*g - 60. Let u = -7 - g. Calculate the greatest common factor of u and t.
9
Let h(g) = 5*g**3 + 1. Let j(p) = -6*p**2 - 7*p - p + 0*p**2 + 8 + p**3. Let a be j(7). Let t be h(a). What is the greatest common divisor of 4 and t?
2
Suppose 0 = -11*x + 57 + 108. Let d be (2 - 10)*(-30)/4. Calculate the highest common divisor of x and d.
15
Let y(p) = 3*p - 11. Let h be y(8). Let j = h - 9. Calculate the highest common divisor of j and 16.
4
Let x be (-48)/(-5)*20/6. Let z(w) = w**3 - 4*w**2 - 5. Let s be z(4). Let a be (6*-2)/(s/20). Calculate the greatest common factor of x and a.
16
Let z = 16 - 9. Let h = z + -1. Suppose 3*u + 3*i + i = 4, u - i - h = 0. Calculate the greatest common factor of u and 36.
4
Suppose 2*f - 145 = -3*f. Let w = f - 8. Calculate the highest common diviso | {
"pile_set_name": "DM Mathematics"
} |
20).
0
Let c(j) = j**2 - 6*j + 11. Give c(6).
11
Let n(w) = 24*w + 91. Determine n(-3).
19
Let l(n) = 9*n**2 - 1. What is l(1)?
8
Let s(j) = -j**2 - 7*j - 8. Calculate s(-7).
-8
Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)?
-15
Let b(f) = 9*f + 1. Determine b(1).
10
Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calculate h(-5).
8
Let i(x) = 2*x**3 - 2*x**2 - 2*x - 1. Determine i(-2).
-21
Let s(i) = -i**2 - 8*i + 7. Give s(-9).
-2
Let i(m) = m**2 - 15*m - 2. Determine i(14).
-16
Let h(x) = -5*x - 4. What is h(6)?
-34
Let k(a) = -a**3 + 22*a**2 - 20*a - 16. Give k(21).
5
Let a(i) = 23*i**2 + 113*i + 12. What is a(-5)?
22
Let y(s) = -8*s + 86. Calculate y(11).
-2
Let m(u) = -u**2 + 13*u - 53. Calculate m(12).
-41
Let v(l) = -32*l - 18. Determine v(-6).
174
Let v(w) = w**3 + 5*w**2 + 2*w + 12. Calculate v(-5).
2
Let f(m) = -m**3 - m**2 + 3*m - 13. Determine f(-3).
-4
Let r(g) = -g**2 - 2*g. What is r(-4)?
-8
Let s(p) = -5*p + 107. Calculate s(20).
7
Let u(b) = 10*b + 23. What is u(-3)?
-7
Let p(f) = -2*f**2 - 22*f - 14. Determine p(-10).
6
Let b(x) = 3*x**2 + 7*x + 4. Calculate b(-2).
2
Let a(m) = 4*m - 37. Determine a(9).
-1
Let h(g) = -9*g**3 + g - 2. What is h(1)?
-10
Let v(x) = x**2 + 33*x - 201. Determine v(5).
-11
Let x(z) = -z + 5. Give x(8).
-3
Let z(n) = -9*n + 69. Calculate z(9).
-12
Let i(q) = q**3 - q**2 - 47. Calculate i(0).
-47
Let q(h) = h**2 - 9*h - 14. Give q(10).
-4
Let m(w) = -6*w + 2. Calculate m(5).
-28
Let g(h) = 7*h - 47. Give g(5).
-12
Let a(d) = d**3 - 6. Determine a(0).
-6
Let k(b) = 4*b - 45. Calculate k(9).
-9
Let x(i) = 17*i - 82. Calculate x(5).
3
Let y(b) = b**2 + 12*b + 1. Give y(-12).
1
Let t(q) = q**2 + 22*q - 114. Give t(-26).
-10
Let t(h) = h**3 + 4*h**2 + h - 2. Determine t(-3).
4
Let z(q) = -4*q**2 - q + 13. Determine z(2).
-5
Let l(a) = a**3 + 6*a**2 + 12*a + 16. Determine l(-2).
8
Let k(l) = -l**3 + l**2 - l + 8. Calculate k(0).
8
Let w(x) = -x**3 - 15*x**2 + 19*x + 59. Calculate w(-16).
11
Let y(l) = -7*l**2 + l + 4. What is y(-5)?
-176
Let d(g) = -g**2 + 3*g + 62. What is d(-7)?
-8
Let j(r) = 4*r**2 - 2*r. Calculate j(2).
12
Let s(h) = h**2 - h - 159. Calculate s(14).
23
Let k(m) = -7*m - 40. What is k(-6)?
2
Let d(f) = f**2 + 13*f + 24. Determine d(-11).
2
Let v(y) = 2*y**3 + 4*y**2 - y - 3. Determine v(-3).
-18
Let a(y) = 8*y + 42. What is a(-8)?
-22
Let j(c) = c**2 + 5*c - 182. Calculate j(11).
-6
Let d(o) = -2*o - 12. What is d(-4)?
-4
Let n(a) = -a**3 + 32*a**2 - 116*a + 97. Calculate n(28).
-15
Let x(c) = -c**3 + 12*c**2 - 12*c. Calculate x(11).
-11
Let x(f) = -2*f**2 - 10*f - 15. Calculate x(-6).
-27
Let h(t) = t**3 - 2*t**2 - 6*t + 4. What is h(4)?
12
Let k(c) = -6*c - 9. Give k(-4).
15
Let s(n) = 8*n - 7. Calculate s(6).
41
Let k(b) = -16*b - 49. Calculate k(-8).
79
Let s(m) = -m**2 - 29*m + 7. Determine s(-30).
-23
Let b(z) = 3*z - 4. Give b(2).
2
Let q(p) = 4*p**2 + 54*p + 2. Determine q(-14).
30
Let r(h) = -h**3 - 3*h**2 - 3*h + 4. Determine r(-3).
13
Let z(t) = t**3 + 2*t**2 + 3*t + 2. Give z(3).
56
Let o(j) = -29*j**2 + 1. Calculate o(1).
-28
Let k(i) = -i**3 - 3*i**2 + 5*i + 4. Determine k(-4).
0
Let y(r) = -r**3 + 22*r**2 - r + 1. Determine y(22).
-21
Let w(t) = 2*t**3 + 8*t**2 + t - 2. What is w(-3)?
13
Let v(g) = -4*g**2 + 6*g - 9. Calculate v(3).
-27
Let f(k) = 232*k + 473. Determine f(-2).
9
Let y(a) = -54*a**3 - a**2 - a + 2. What is y(1)?
-54
Let i(a) = -a**3 + 21*a**2 + a - 29. Calculate i(21).
-8
Let h(l) = -l**3 + 2*l**2 - 3. Calculate h(0).
-3
Let b(l) = l**3 - 15*l**2 + 13*l + 15. Determine b(14).
1
Let a(n) = -n**3 + 7*n**2 + 11. What is a(7)?
11
Let v(w) = -11*w - 79. Determine v(-6).
-13
Let b(n) = -n - 8. What is b(-7)?
-1
Let y(j) = -j**3 + 13*j**2 - 9*j + 10. What is y(12)?
46
Let t(r) = -r**2 - 5*r + 22. What is t(-7)?
8
Let s(a) = -a**3 + 3*a + 6. Determine s(-2).
8
Let m(c) = -5*c**2 + 2. What is m(1)?
-3
Let s(d) = -d - 1. Give s(-2).
1
Let c(b) = b**3 - b**2 + 3*b + 31. Give c(0).
31
Let i(f) = -10*f + 2. Calculate i(1).
-8
Let w(h) = 6*h - 8. Determine w(-17).
-110
Let y(v) = -v**3 + 22*v**2 - v + 21. What is y(22)?
-1
Let c(h) = -h**3 + 4*h**2 + 17*h + 5. Give c(6).
35
Let p(j) = -58*j - 14. What is p(0)?
-14
Let g(i) = -15*i - 357. Determine g(-24).
3
Let p(x) = -x**2 + 6*x + 10. What is p(9)?
-17
Let x(s) = -s**3 + 6*s**2 + 10*s + 29. Determine x(8).
-19
Let f(p) = p**3 + 67*p**2 + 191*p - 57. Give f(-64).
7
Let g(y) = 14*y**2 + 6*y - 16. Calculate g(2).
52
Let q(w) = -w**3 - 9*w**2 + 5*w + 25. Calculate q(-10).
75
Let u(a) = -3*a - 24. Give u(3).
-33
Let s(u) = u**2 - 14*u + 4. Calculate s(9).
-41
Let b(z) = z - 7. Give b(21).
14
Let v(x) = x**3 + 2*x**2 - 3*x + 4. Give v(-3).
4
Let i(z) = z - 12. Determine i(5).
-7
Let t(h) = -2*h + 33. Calculate t(16).
1
Let u(b) = -6*b - 1. Determine u(6).
-37
Let w(m) = -139*m + 562. Determine w(4).
6
Let i(n) = 2*n**3 + 14*n**2 + 13*n + 2. Give i(-7).
-89
Let y(c) = -22*c - 66. What is y(-3)?
0
Let s(y) = -y**3 + 23*y**2 + 27*y - 67. Determine s(24).
5
Let o(n) = 2*n - 16. Determine o(11).
6
Let i(n) = -2*n + 15. Give i(6).
3
Let l(y) = -y**3 - 10*y**2 - y - 5. Calculate l(-10).
5
Let i(p) = -p**2 - 20*p + 63. What is i(-22)?
19
Let g(d) = 338*d + 1356. What is g(-4)?
4
Let f(w) = 61*w**3 - w**2 - w + 2. What is f(1)?
61
Let h(r) = r**3 + 11*r**2 - 9*r + 4. Give h(-12).
-32
Let v(d) = 2*d**3 - 87*d**2 - 43*d - 40. Calculate v(44).
4
Let b(s) = -6*s**2 + 2*s + 2. Calculate b(-1).
-6
Let h(r) = -r**2 + 7*r - 15. What is h(8)?
-23
Let b(y) = y**3 + 3*y**2 - 16*y - 14. What is b(-6)?
-26
Let b(g) = -2*g**3 - 12*g**2 + 14*g + 9. What is b(-6)?
-75
Let b(f) = f**3 + 25*f**2 - 2*f - 42. Determine b(-25).
8
Let a(p) = -4*p + 11. Give a(-1).
15
Let k(q) = -q**3 + 16*q**2 + 19*q - 66. Determine k(17).
-32
Let h(s) = 4*s**2 + 4*s + 11. Give h(-3).
35
Let m(d) = 3*d**2 + 2*d + 2. What is m(-2)?
10
Let x(c) = 5*c**3 - 3*c**2 + 3*c - 5. Determine x(2).
29
Let a(k) = -2*k - 29. Determine a(-14).
-1
Let t(a) = 2*a + 57. Give t(-30).
-3
Let g(p) = -p**3 - 6*p**2 - 6*p + 8. Give g(-4).
0
Let t(m) = m**3 + 14*m**2 + 2*m + 20. Calculate t(-14).
-8
Let l(p) = p**2 - 24*p + 126. Give l(8).
-2
Let p(f) = -f**3 - 4*f**2 + 15*f + 2. Calculate p(-5).
-48
Let j(m) = -m**2 - 23*m - 135. Give j(-13).
-5
Let b(m) = 4*m - 5. What is b(-4)?
-21
Let x(r) = -59*r - 106. Calculate x(-2).
12
Let b(w) = 14*w - 68. Give b(6).
16
Let f(b) = -2*b**2 + 4*b + 27. Determine f(-3).
-3
Let m(c) = 13*c**2 - 55*c + 7. Give m(4).
-5
Let y(w) = w**3 + 16*w**2 + 2*w + 21. What is y(-16)?
-11
Let x(f) = -22*f**2 - 3*f - 2. Give x(-1).
-21
Let z(f) = f**3 + 5*f**2 + 12*f + 24. Give z(-3).
6
Let n(l) = l**3 - 11*l**2 + 10*l + 14. Give n(10).
14
Let b(y) = -y**3 + y**2 - 11. Give b(0).
-11
Let h(n) = -16*n - 77. Give h(-5).
3
Let n(g) = g**3 + 7*g**2 + g + 3. What is n(-7)?
-4
Let i(h) = -h**3 + 2*h**2 - h + 2. Give i(3).
-10
Let r(s) = s**3 + 2*s**2 + 2*s + 11. Determine r(0).
11
Let f(z) = z**3 - 16*z**2 + 13*z + 25. Determine f(15).
-5
Let u(q) = -q**3 + 14*q**2 - 12*q - 16. What is u(13)?
-3
Let b(q) = 3*q**2 - 30*q - 7. Calculate b(10).
-7
Let j(v) = -16*v**2 + v. What is j(1)?
-15
Let c(k) = -9*k - 23. Determine c(-8).
49
Let v(c) = -c**3 + 37*c**2 + 39*c - 22. Give v(38).
16
Let z(m) = -2*m**2 - 35*m - 9. What is z(-17)?
8
Let c(b) = b**3 + 8*b**2 + 8*b - 4. Give c(-6).
20
Let d(p) = p**3 - 24*p**2 + 6*p + 390. Calculate d(23).
-1
Let w(h) = 2*h**2 + h - 32. What is w(0)?
-32
Let c(y) = -y**3 - 22*y**2 + 72*y - 52. Give c(-25).
23
Let g(f) = -f**2 - 31*f - 122. Give g(-26).
8
Let h(j) = -4*j - 41. Calculate h(-14).
15
Let s(p) = p**3 + 5*p**2 - 10*p + 16. What is s(-7)?
-12
Let c(w) = -2*w**2 - 18*w - 32. Give c(-7).
-4
Let n(y) = 2*y**2 - 4. What is n(2)?
4
Let c(o) = -o**3 + o**2 + 2*o - 76. Give c(0).
-76
Let j(c) = -c**3 - 14*c**2 - 14*c + 12. Determine j(-13).
25
Let m(t) = -t + 35. Determine m(0).
35
Let z(q) = q**2 + 11*q - 10. What is z(-11)?
-10
Let p(j) = -19*j + 115. What is p(6)?
1
Let a(j) = -j**3 - 16*j**2 - 11*j + 2. Determine a(-15).
-58
Let c(i) = -3*i**2 - 4*i - 3. Determine c(-2).
-7
Let q(l) = l**2 - 24*l + 26. What is q(23)?
3
Let y(c) = 57*c + 224. Determine y(-4).
-4
Let r(z) = z**2 - 95. Calculate r(0).
-95
Let t(s) = s**2 - 5*s - 33. Calcul | {
"pile_set_name": "DM Mathematics"
} |
e (-91)/(-2)*134/469.
13
What is (1/(-6))/(-15*20/5400)?
3
Evaluate (3 - 0) + (49/7 - -1).
11
Calculate 99/(-17) + 13/(26/(-6)) + 9.
3/17
Calculate 5 + (-6)/(-2) + -10.
-2
What is the value of ((-1602)/(-27412))/((-6)/(-28))?
3/11
-65 - (462 + -42)/(-15)
-37
2/(6/(-7) + (-2592)/(-3402))
-21
Calculate -10 - 136/((34160/126)/(-20)).
2/61
Evaluate 51/(-3) + 3870/215.
1
What is (-1 + (-4)/28)/((-61)/1281)?
24
What is (-18)/84*-7 - (266/(-16))/(-19)?
5/8
2/12 - 426/(-20)*(-205)/(-369)
12
(-1 - (1/(-4))/((-12)/(-96)))*16
16
Evaluate (25/10)/((-7)/14).
-5
Evaluate ((-27)/12)/(22/(23232/(-72))).
33
((-2 + 3)/(11/(-44)))/((-102)/(-3))
-2/17
What is the value of ((-24)/120)/((-3)/(-12))?
-4/5
What is (6*(-2)/9)/(352/(-1848))?
7
Evaluate (-1 + 55/15 - (6 - 3))*39.
-13
Calculate 17/((-51)/(-2)) - ((-125)/15 + -3).
12
Calculate (45/(-30))/(((-27)/(-30))/(-3)).
5
Calculate -1*(860/60 + -14).
-1/3
((-1)/2)/(360/(-7920))
11
Evaluate ((-6)/168)/(1360/(-952)).
1/40
What is the value of -3 + 9 - (-81)/(-12)*(-180)/(-210)?
3/14
Calculate (-229)/301 - (-5 + (-30)/(-7)).
-2/43
Evaluate (-14 - (-272)/20)/((-6)/30).
2
What is the value of 70/(-6)*(9585/225)/71?
-7
Calculate 33/270 - (-98)/980.
2/9
Evaluate 24/720 + 28/105.
3/10
Calculate (-3*(-9)/(-45))/((-357)/45 + 8).
-9
What is 12/5*((-429)/(-22) - 20)?
-6/5
((-5)/42)/(120/(-96))
2/21
Calculate ((-26)/(-14) + -2 - (-325)/(-175))/1.
-2
(-30)/14*(-2296)/738*(-3 + 6)
20
What is -2*((-24)/28 - 0)/(8/42)?
9
Evaluate (-128)/(-12) - ((-154)/33)/(-7).
10
Calculate ((-5)/(50/12))/((-279)/(-3720)).
-16
What is (99/(-22) + -1 + 6 + -1)*2?
-1
Evaluate 30/4*(-20 - (-1008)/60).
-24
What is the value of 9 + (10 - (-11 - -30))?
0
6*((-1420)/(-180) + -8)
-2/3
What is -13 + (1 - 1146/(-96))?
-1/16
What is (9/108*6)/(60/40)?
1/3
What is -3*(17 - (-4340)/(-255))?
1/17
What is (-4)/14 + (-296)/14 + 927/2163?
-21
(-33)/(-36) - 38/57 - 7/(-420)
4/15
What is 7 + -26 + (-8528)/(-451)?
-1/11
Evaluate 28/(-7) + (-7)/(-4).
-9/4
Calculate (-3)/(-27) + 697/(-4896).
-1/32
Calculate (8/(-32))/1*(-16)/78.
2/39
What is the value of 26/(-5)*(-28)/(-45 - -17)?
-26/5
What is ((-4)/18)/(184/828)?
-1
Calculate (-10)/205 - (-16620)/(-12300).
-7/5
-16 - -10 - ((-78)/18 + -2)
1/3
What is (-202)/650 - (6118/247 - 25)?
-2/25
What is the value of 5 - 33 - (-35903)/1338?
-7/6
Evaluate 24/20*(21/12 + (-319)/(-116)).
27/5
Calculate 2 - (13/((-12675)/(-2880)) - (-4)/(-26)).
-4/5
Calculate 20/2 - (-549)/(-54).
-1/6
What is (14586/(-1989))/(11/(-6))?
4
(-480)/(-70) + 128/112
8
What is 3/9*-6*(1 - (-25)/(-10))?
3
Evaluate (-95)/(-285)*63/15 - (-9)/(-35).
8/7
What is (-18)/297*((-81)/18 - 0 - -6)?
-1/11
What is (-42)/(-33)*-1*(-22)/(-2)?
-14
Evaluate -4*28*4/(-32).
14
What is (-6)/(-12)*-6*(13 - (-2 + 9))?
-18
What is the value of (0*(-1 + 24/16))/(-2)?
0
Evaluate (-3)/15*(108/24 + -7).
1/2
636/(-576)*-8 - 5/6
8
Evaluate (-47)/(-4) - (28 + 2260/(-80)).
12
(6/(-2))/6*1/7*0
0
Evaluate ((1 - 4) + 2)/((-32)/(-43680)*65).
-21
Evaluate (-23 - -22) + (-17)/(612/(-56)).
5/9
((-3)/(-36))/((-4329)/2664)
-2/39
Calculate (8/30)/(36/(-30)) - 304/(-1044).
2/29
What is the value of (68/85)/(1/5) - (3 + -3)?
4
Calculate (-36)/(-3402)*-3*35/(-5).
2/9
Evaluate (-15)/42 - (-41202)/1764.
23
Evaluate 5*3*(814/(-66) - -13).
10
What is (-27 + 0)/((-2739)/132 + 20)?
36
Calculate -1*2*((-5600)/(-64))/(-35).
5
20*144/(-64)*(-2)/(-9)
-10
Evaluate (-34)/306 - (-82)/9 - 72/18.
5
What is the value of 33 - 8 - ((-33)/3 - 2)?
38
Calculate 978/(-98) + (95 - 99) + 14.
1/49
What is the value of (-279)/45 - -4 - 301/(-215)?
-4/5
What is the value of 8/23*(-2703)/7208?
-3/23
Calculate ((10 - 11)*(1 + 0))/((-740)/555).
3/4
What is (-3 - 0)/((-2)/6 + (-22)/(-33))?
-9
What is the value of (-570)/216*-6 - 16?
-1/6
What is the value of 276/370*-1 + 6492/8115?
2/37
What is the value of (-32)/(-6)*29/928*24?
4
What is -14 + 4 - (160/48)/(5/6)?
-14
What is the value of -30 + 13 + 3 - 0?
-14
Calculate ((-20)/(-3))/5*12/80*-2.
-2/5
Calculate (-3)/(6/4)*(-7695)/1026.
15
Calculate -15*(2/120*5)/(12/48).
-5
Calculate (5 - 1)*(-39)/2730.
-2/35
Evaluate 7/(-2)*((-612)/168 + 8 - 5).
9/4
-25 - 18830/(-525) - 2/(-15)
11
Calculate (-270)/(-30)*(-15)/((-315)/(-56)).
-24
What is 624/182*35/(-170)?
-12/17
What is (-1240)/(-88) - 92/(-1518)*(-9)/6?
14
((-1122)/154 - -7)*(2 - -54)
-16
9/(-90)*(-3 + -42) - 4
1/2
Evaluate (5/(-180))/(5/(-150)).
5/6
What is (-215)/5 + 28 - -33?
18
(4/17*34)/(-14 + 0 - 0)
-4/7
Calculate ((-72)/60)/2 - 8/(-12).
1/15
(-70)/(-24) + -32 + 14245/444 - -5
8
Calculate (12*(23 + -24))/(3/4).
-16
Evaluate ((-2)/(-3))/(-22*(-48)/(-1848)).
-7/6
What is (-26319)/1209 + 22 + ((-240)/26 - 0)?
-9
Calculate (-9)/165*335 - (-26 - -9).
-14/11
What is (-2 - -1)*(634 + -609)?
-25
Evaluate 8/(-2)*1*(-5 + (-26)/(-5)).
-4/5
What is (-31416)/(-5355) - (9 + (-2 - 1))?
-2/15
What is the value of 43/(-65) + (-302)/(-1510)?
-6/13
What is 232/(-22) + (15/12)/((-110)/(-880))?
-6/11
What is ((-493)/51 - -10) + (-38)/60?
-3/10
-29 - (-50 + (-25)/(-1))
-4
What is 49 + -49 - -9*(-3 - -2)?
-9
(-160)/85 - -6 - (-72)/(-612)
4
((-19626)/(-16355))/((-42)/(-10))
2/7
What is the value of (2 - 1)/(65/39*(-3)/(-6))?
6/5
-2*(-11)/44*4
2
What is 105/(-70)*1/4?
-3/8
What is the value of ((-143)/44 + (-5)/(-1))/1*-4?
-7
((-840)/(-112))/(-10*(-3)/2)
1/2
What is the value of 2/(50/25 - (9 - 3)*2)?
-1/5
(-266)/(-1178)*((-156)/(-42) + -4)
-2/31
10692/(-792) + -2*(-26)/4
-1/2
(1 - 2)*4444/(-404)
11
What is (-6)/70 + 3/(-15) - 1598/238?
-7
What is (-2 - -20) + 6/16 + (-690)/(-80)?
27
What is the value of (-2*1/6)/(75/(-18))?
2/25
(-141)/(-60) + (-4 - (-351)/156)
3/5
Evaluate (-3)/((-42)/(-40)) + (21 - (-1332)/(-63)).
-3
What is 323680/(-12460) - (-8)/(-356)?
-26
Evaluate 310/34 - (561 - 552).
2/17
What is the value of ((-55)/(-10))/((-6)/24 - 6/(-8))?
11
Evaluate 12/4*(6 - (-476)/(-42)).
-16
What is (-42532)/(-3773) - (-1 - -12)?
3/11
Calculate 15/8*(32/(-120) + (-2)/5).
-5/4
What is 0 + 4 - (-9 - (1 - 16))?
-2
Calculate 16/(-30)*(-333)/(-222).
-4/5
Evaluate -2 - 27/(756/(-88)).
8/7
What is the value of 208/117*3/(-6)*1/12?
-2/27
Evaluate ((-54929)/(-735))/(-19) - 1/15.
-4
What is (114/57)/(6/7 - 1)?
-14
What is the value of (-4324)/282*((-22)/(-20) + (-12)/(-30))?
-23
Calculate (-132)/69 + (10 - (1 + 7)).
2/23
What is the value of (14 + -23)/((-9)/(-15))?
-15
Calculate 24/(-90) - (-168)/(-420).
-2/3
(106/371)/(0 - -1)*84/76
6/19
What is ((-1288)/140)/23*-10?
4
3658/708*6/10 + (-3)/1
1/10
Calculate -5 + 5 + -11 + (-57)/(-5).
2/5
Calculate ((-24)/(-32))/((-15)/140).
-7
What is 51 - 40 - (5 - (0 - 1))?
5
What is -75*(-2 + (-448)/(-240))*(-2)/4?
-5
Evaluate 1 - (-1447)/(-1443) - 1414/(-26159).
2/39
What is the value of (-38 + (-2528)/(-48))/((-8)/(-6))?
11
15/12*(-340)/255
-5/3
Evaluate (33 - 1737/54)*4/(40/9).
3/4
What is the value of 710/50 + 121/(-55)?
12
What is the value of (-10142)/594 - ((-18)/243 - 0)?
-17
Evaluate (-3 - -11) + (-3)/(6/(1 - 7)).
11
What is (-9)/(-12) - ((-8789)/238)/(-47)?
-1/28
What is the value of 44/682 - (-384)/(-2108)?
-2/17
Evaluate (50/(-32))/(2860/(-2288)).
5/4
376/(-10340) - 12744/440
-29
-28*((-136)/(-374) - (-76)/(-88))
14
What is the value of 35/(-15) + 1 + (-2 - (-738)/189)?
4/7
What is the value of (56/924)/((-16)/(-6) + 9/(-3))?
-2/11
What is 2/3 - (-24053)/1077?
23
Calculate (3 + (-48)/15)/(1962/(-3270)).
1/3
Evaluate ((-40460)/80)/17 + 30.
1/4
Evaluate (-3)/8*65*(-52)/1014.
5/4
1 - 113/(-9) - (-8)/18
14
Evaluate (4 + (145/70 - 5))*49/42.
5/4
3/26*-4*26
-12
What is ((-129)/8127)/(4/(-14))?
1/18
Evaluate 970/291*((-2 - 424/(-100)) + -2).
4/5
What is ((-2)/6*17)/((-17)/(-51))?
-17
What is the value of (2*(-1)/(-5))/(((-224)/490)/8)?
-7
Calculate (1275/(-119) + 10)/(-5).
1/7
What is the value of (-20)/(-6)*3 + (-930)/(-62)?
25
Calculate (1 - 1)/((12 - 29)/17).
0
Calculate ((-13890)/(-247) - 56) + (-2)/26.
3/19
Calculate -5*(0 - -1) + ((-4319)/(-287) - 10).
2/41
-27 - (-21)/(147/329)
20
Calculate (-483)/23 + 16 + 15/6.
-5/2
Evaluate 3/(-9) + (-238)/42.
-6
Calculate 2/30*(-217 + 112).
-7
What is the value of (-9)/(-3)*((-17304)/(-864) - 20)?
1/12
(480/56)/12 + (-3438)/(-126)
28
What is (-5 + (-148)/(-28))*(-567)/(-18)?
9
Calculate 2/(-10)*(-79 - -24).
11
What is the value of (-4*1 - -1) + 2668/552?
11/6
Evaluat | {
"pile_set_name": "DM Mathematics"
} |
4 - 5)*(2 - 2 + 2*j**5) - 352*j**5 - 761*j**5 + 63*j**5.
-1058*j**5
Expand (0*w + 3*w - 4*w)*((-w + 11*w + 6*w)*(4 - 2 - 1) - 2*w - 2*w + 5*w + 6*w - 3*w - 2*w) + (4*w**2 + 36*w**2 + 10*w**2)*(-2 + 1 - 2).
-168*w**2
Expand (-6*h + 84*h**2 - 167*h**2 + 86*h**2)*(7*h - 2*h + 5*h + (-4 + 4 + h)*(7 - 1 + 2)).
54*h**3 - 108*h**2
Expand (q - q - 2*q)*(4*q**2 + 0*q**2 - 3*q**2)*(2*q + 0*q + 6*q)*(0 - 4 + 6) + 18*q**4 - 7*q**4 - 6*q**4.
-27*q**4
Expand (0 + 2 - 3)*(0*c - 4*c - 4*c)*(0*c**2 - 2*c**2 + c**2) + (c - c + 2*c)*(-97*c**2 + 247*c - 247*c).
-202*c**3
Expand (0*n**3 - n**3 + 0*n**3)*(-3*n + 3*n - n)*(6*n + 3*n - 3*n)*(-4 + 1 + 4)*(4 - 5 + 2)*(27 - 33 + 14).
48*n**5
Expand (-2 + 0 + 1)*(-2 + 1 + 0)*(-1 + 1 - 1)*(12*b**2 + 8*b**2 + 6*b**2)*((3 + 0 - 4)*(-2*b + 2*b - 2*b) + 2*b - 3*b + 3*b).
-104*b**3
Expand (-a - 1 + 1 + (0 + 3 - 4)*(a - a + a) + 0 + 0 - 2*a + (-2*a - a + 4*a)*(-4 + 3 - 1) - 4 - 9*a + 4)*(-205*a + 204 - 204).
3075*a**2
Expand (-26331*a**2 + 28731 - 28731)*(3*a - 5*a + a)*(-2*a + 1 - 1).
-52662*a**4
Expand (-6*q**2 + 4*q**2 - q**2)*(-2 + 1 - 1) + (2*q - 6*q + 2*q)*(-2*q - 3*q + 0*q - 3*q + 13 - 13 + 0*q + 2*q + 0*q + (3 + 1 - 3)*(2*q + 3*q - 3*q)).
14*q**2
Expand (-58*c**2 - 36*c**2 + 10*c**2)*(-39 - 7*c + 39 + (-1 - 1 + 3)*(1 - 2*c - 1)) - 2*c**2 - 2*c**3 + 2*c**2.
754*c**3
Expand (0 - 3 + 1)*(2*v**2 + 2*v**2 - v**2) + (-108*v + 594 + 594 - 1190)*(-2*v - 2*v + 5*v).
-114*v**2 - 2*v
Expand (p - 2*p + 6*p)*(1 + 3 - 3)*(2 - 8 + 7)*(3 - 2 + 1 + (-3 + 4 + 0)*(-1 - 2 + 16)).
75*p
Expand (4*y**2 + 9 - 9)*(-136 + 205 + 211 + (-2 + 2 + 2)*(-5 + 3 + 3)*(4 - 1 - 2)).
1128*y**2
Expand (228505 + 10*k - 228505 + 2*k**4 - k**2)*((0 + 0 - 1)*(-1 + 1 + 2) - 1 - 1 - 1 - 6 + 2 + 2).
-14*k**4 + 7*k**2 - 70*k
Expand -6995*i**5 + 6997*i**5 + 10 + 9*i**2 + i**3 - 3 + (2*i**3 + 0*i**2 + 0*i**2)*(i**2 - 2*i + 2*i).
4*i**5 + i**3 + 9*i**2 + 7
Expand (-19758*a**3 + 19758*a**3 - 550*a - a**4)*(-7 + 44*a + 7).
-44*a**5 - 24200*a**2
Expand (0 - d + 0)*(-1409 + 650 + 126 - 2250).
2883*d
Expand -6 - 4 + 27 + 3*v + 5*v - 3*v + 4*v + (2*v - 3 + 3)*(1 + 3 - 2).
13*v + 17
Expand (1 - 1 + 2*d)*(-107*d**3 + 39*d**3 - 628*d**3).
-1392*d**4
Expand p**4 + 6*p**4 + 16*p**4 - p**4 + 0*p + 0*p + (-5*p**2 + 0*p**2 + 3*p**2)*(3*p**2 - 2*p**2 - 3*p**2) + p**4 + 1 - 1.
27*p**4
Expand (0*w + 0*w - 2*w)*(1 + 1 - 1) + (0 + 0 - 2*w)*(-174 + 196 - 928).
1810*w
Expand (3*l - 4*l + 2*l + (4 - 3 + 0)*(5*l - l - 2*l) + (-3*l + 0*l + l)*(0 - 3 + 1))*(-5*l**2 + 516452 - 516452 - 447*l**3).
-3129*l**4 - 35*l**3
Expand (2*z - 5*z + 4*z)*(1 + 0 + 1) + 0 - z + 0 + 10*z + 21*z - 11*z + 2 - 4*z + 7*z - 6*z.
18*z + 2
Expand (-66 + 151 - 686)*(-14 + 4*t**4 + 14).
-2404*t**4
Expand (-m - m + m)*(m - 2 + 2) + (-8*m**2 - 23 + 23)*(6 - 2 + 0) + 0*m - 13*m**2 + 0*m.
-46*m**2
Expand (-3 - 1 + 3)*(-3430*o + 1737*o + 2101*o)*(-5 + 5 + 2)*(3 + 0 - 1).
-1632*o
Expand (743*r + 426*r - 272*r)*(-r**2 - 3*r**2 + 2*r**2).
-1794*r**3
Expand (-4*l**2 + 0*l**2 + 3*l**2)*(-9 - 438761*l**3 + 438373*l**3 + 21).
388*l**5 - 12*l**2
Expand ((0*c - c - c)*(0 + 0 + 2*c**2) - 13*c**3 + 38 + c**3 - 34)*(-10 - 5 - 41).
896*c**3 - 224
Expand -5090138*z**3 + 454*z**4 + 2*z**2 + 5090138*z**3 + (0*z + 0*z - z**2)*(2*z**2 - 4*z + 4*z).
452*z**4 + 2*z**2
Expand -27*z**3 - 2*z**3 + 6*z**3 - 67*z**3 + 15*z**3 - 34*z**3 + (3*z - 2*z**2 - 3*z)*(2*z - 2*z - z).
-107*z**3
Expand (17254*y - 135312903 + 135312903)*(4 - 1 - 1)*(3 - 1 - 1)*(1 - 2 + 2).
34508*y
Expand (-9 + 9 + 6*z**3)*(7*z**2 + 1428*z - 1428*z) + (-1 + 1 - 2)*(z**5 - z**5 + z**5).
40*z**5
Expand (r - 3*r + r)*(-2*r + 4*r - 3*r) + 48*r**2 + 94*r**2 - 238*r**2.
-95*r**2
Expand (-4 - 14 - 6 + 1)*(88*h**3 - 215*h + 215*h).
-2024*h**3
Expand (278 + 383 - 218 + (3 - 6 - 2)*(-2 + 3 + 1))*(-d**2 + d**2 - 3*d**2).
-1299*d**2
Expand (94*l - 244*l + 18*l)*((0 - 5 + 3)*(2*l + 2*l - 5*l) + 4*l + 3*l - 6*l + 3*l - l - l - 4*l + l + 4*l + l + 5 - 5)*(2 - 1 + 0)*(4 + 4*l - 4).
-3168*l**3
Expand (23*m**2 + 29*m**2 - 20*m**2)*(149 - 149 + 19*m).
608*m**3
Expand (2*w + 3*w - 3*w)*(6*w**4 - 5*w**4 - 5*w**4) + (18*w - 18*w - 2*w**4)*(5*w - 4*w - 2*w + (-3 + 0 + 1)*(-1 + 1 - w)).
-10*w**5
Expand (g**3 + 6*g**3 + 7*g**3)*(-355*g**2 - 388*g**2 - 89*g**2 - 330*g**2).
-16268*g**5
Expand ((0 + 0 + i)*(-1 + 1 + 2) - i - 2 + 2 + (0 + 0 - 3)*(-i - 2*i - 4*i))*(-14*i - 11*i + 30*i).
110*i**2
Expand 6*y**4 - 3*y**4 - y**4 + (-3 + 5 + 0)*(-2*y + 2*y - 2*y)*(-36*y**3 + 35*y**3 - 73*y**3).
298*y**4
Expand -r**4 - 3*r + 3*r + (-1 + 5 - 3)*(-2*r**4 - 4*r**4 + 5*r**4) - 4*r**4 + 5*r**4 - 2*r**4 + 1487*r**3 - 1487*r**3 + 721*r**4 + 4 - 3*r**4 + 2*r**4 - 1.
717*r**4 + 3
Expand (9*z**3 - 19*z**3 + 8*z**3)*(-z**2 - 2*z**2 + 21 + 2*z**2).
2*z**5 - 42*z**3
Expand (-13*q**3 + 10*q**3 + 2*q + 0*q)*(-2536 - 210*q + 2536).
630*q**4 - 420*q**2
Expand (2 - 2 + 2)*(-q**2 + q**2 + q**2 + (28*q - q + 0*q)*(-253 + 1 - 8)*(4*q + 3*q + 2 - 6*q)).
-14038*q**2 - 28080*q
Expand (l + 8*l + 27*l)*(34 - 80 - 33).
-2844*l
Expand -2*b + 2*b - 2*b + (5 - 5 + 9*b)*(-1 + 0 + 2) + 51*b - 69*b + 31*b.
20*b
Expand (0 + 3 - 5)*(-6*d**3 + 4*d**5 + 6*d**3) + 12*d**4 - 39*d**4 - 6*d**5 - 19*d**4.
-14*d**5 - 46*d**4
Expand (-36 + 75 - 33)*(10 + 27 - 3*g + 18 + 29).
-18*g + 504
Expand (23 - 23 + 27*b)*(-9*b**2 + 7*b**2 - 4*b - 2*b) + 2*b**2 - 2*b**2 - 3*b**3 + (0*b**2 - 2*b**2 + 3*b**2)*(-2*b - b + 2*b).
-58*b**3 - 162*b**2
Expand (3*t**2 - t**2 - 4*t**2)*(-t - 5*t + 4*t)*(-3 + 0 + 0)*(4 - 5 - 3 + (1 + 0 - 3)*(0 + 2 + 0) - 1 + 5 - 2).
72*t**3
Expand (-88 - 289 + 24)*(0 + 0 + o) - 2*o - 2*o + 2*o.
-355*o
Expand (5 - 4*t - 5)*(2*t + 2 - 2)*(3 - 4 - 1) + (2*t - 2 + 2)*(t - 2*t + 0*t) - 22 + 22 - 31*t**2 + (4*t - 4*t + 2*t**2)*(-3 - 2 + 3).
-21*t**2
Expand (-5 + 5 + 5*p)*(-21*p + 26*p + 8*p) - 41 + 41 - 36*p**2.
29*p**2
Expand (-2164*b + 4333*b - 2141*b)*(-13*b + 13*b - 19*b**3).
-532*b**4
Expand (-8 + 9 + 461*h - 400*h)*(2*h**3 + h**3 - h**3).
122*h**4 + 2*h**3
Expand (3 + 3 - 4)*((179 + 130 + 329)*(-j + 3*j + j) - 2*j - j + 2*j).
3826*j
Expand (2*w**2 - 5*w**2 + 2*w**2)*(-2 + w + 2 - 3*w - w + 3*w + (-47*w - 32*w + 5*w)*(3 + 2 - 4)).
74*w**3
Expand 1 - 5*t + 571*t - 24*t**2 - 552*t + 2*t**5 + (0*t**3 - 3*t**3 + t**3)*(2*t**2 + 0*t**2 - 4*t**2) + 0*t**5 + 3*t**5 - 2*t**5.
7*t**5 - 24*t**2 + 14*t + 1
Expand (-2274 + 107*g + 2274)*(1 - 2 + 2) + 18*g - 20*g - 16*g.
89*g
Expand (-614 + 292 - 340)*(h + 0*h + 0*h + (-h + 3*h - h)*(3 - 2 + 0))*(-h**2 + h**2 - 2*h**2).
2648*h**3
Expand (3 - 3 + 6*c**3)*(-2 + 3 - 2) - 39 - 462*c + c**3 + 462*c.
-5*c**3 - 39
Expand -b**3 + b**3 + 2*b**4 + (3 + 2 - 3)*(95 + 26*b**2 - 95)*(-10*b**2 + 29*b**2 + 55*b**2).
3850*b**4
Expand (5*i**3 - i**3 - 6*i**3)*((-3803*i + 7473 - 7473)*(3*i - 3*i + 2*i) + 0*i + 2*i**2 + 0*i).
15208*i**5
Expand (147*m - 18275 + 18275)*(-9 - 30 + 11).
-4116*m
Expand (-5*w - 14*w + 0*w + (3 + 0 - 2)*(w + 4*w - 4*w))*(-784 - w + 3*w + 766 - w**3).
18*w**4 - 36*w**2 + 324*w
Expand -5*r - 21*r + 42*r + 0 - 60*r - 4 + (3*r - r - r)*(-3 - 1 + 3).
-45*r - 4
Expand (142*c**4 - 5*c**4 - 52*c**4)*(5 + 1 - 5) + 7*c**3 - 7*c**3 + c**4.
86*c**4
Expand (-6 + 2 + 2)*(-5*a + 4*a + 0*a) + (-4963 + 1911 + 2061)*(a + 2*a - 6*a).
2975*a
Expand 8*g**2 - 27*g**2 + 11*g**2 + (-2*g - 1 + 1)*(111 - 111 + 15*g) - 3*g - g**2 + 3*g.
-39*g**2
Expand 124*b + 73*b - 51 + 5*b**2 - 195*b + (-2*b + 0*b + b)*(b + b - 4*b).
7*b**2 + 2*b - 51
Expand (-a**4 - a**4 + 4*a**4)*(2998 - 15490 + 26777 + 11939 + 22550 + 16262).
130072*a**4
Expand (5*y + 3 - 3 + (-4 + 3 + 0)*(80*y + 55*y + 10*y))*(-1 + 0 + 0).
140*y
Expand (0*m + 0*m + 2*m)*(-19*m**3 - 8*m**3 - 21*m**3) + 0*m**4 - 40*m**4 + 19*m**4.
-117*m**4
Expand (-2683613 - 4772*b + 2683613)*(b**2 - b**2 - b**4).
4772*b**5
Expand -23*c**2 - 124*c**2 + 15 + 90*c**3 - 14 + 146*c**2 + 3*c**3 - c**3 - 3*c**3 + (3*c**2 + 3*c**2 - 4*c**2)*(c - 3*c + 0*c).
85*c**3 - c**2 + 1
Expand 4*g**2 - 4*g**2 + 5*g**2 + 0*g**2 + 0*g**2 - 5*g**2 + (-3*g + 7*g - 2*g)*(-2*g + 4*g + 5*g).
14*g**2
Expand (-2*k**2 + 7*k**3 - 17*k**3 + 11*k**3 - 15*k)*(149 - 52 - 46).
51*k**3 - 102*k**2 - 765*k
Expand (-9*w + 5 - 5)*(14 + 11 - 4 + (4 - 1 - 1)*(-1 - 3 + 3) + 2 - 3 + 2)*(w + w + 0*w)*(4*w - 4*w - w).
360*w**3
Expand (1 + 2 - 4)*(-561 + 418 + 422)*(2*o**4 - 3*o**4 - 2*o**4).
837*o**4
Expand (-2 + 2*l + 2)*(0*l | {
"pile_set_name": "DM Mathematics"
} |
xt in -7050, -7047, -7056, -7083, -7134?
-7215
What is the next term in -24, 27, 118, 261, 468, 751, 1122, 1593?
2176
What comes next: -15491, -15493, -15497, -15503, -15511, -15521?
-15533
What comes next: 533, 1156, 1749, 2318, 2869, 3408, 3941?
4474
What is next in -250941, -501886, -752831?
-1003776
What is the next term in 115, 284, 453, 622?
791
What comes next: 50163, 100353, 150571, 200817, 251091, 301393, 351723?
402081
What is the next term in -50615, -50604, -50593, -50582, -50571, -50560?
-50549
What comes next: -87, -128, -93, 18, 205, 468, 807?
1222
What is next in 11600, 11595, 11578, 11543, 11484?
11395
What comes next: 227787, 227785, 227783, 227781?
227779
What is next in -6540, -13063, -19578, -26085, -32584, -39075?
-45558
What is next in -1211, -4818, -10829, -19244, -30063, -43286, -58913?
-76944
What comes next: 599405, 1198812, 1798219?
2397626
What comes next: -282, -524, -718, -846, -890?
-832
What is next in 1601, 1588, 1549, 1472, 1345, 1156, 893, 544?
97
What is the next term in 3057, 6281, 9519, 12777, 16061, 19377, 22731, 26129?
29577
What is the next term in -112, -826, -2750, -6490, -12652?
-21842
What is the next term in 185, 166, 143, 122, 109, 110?
131
What is the next term in -74, -197, -342, -521, -746?
-1029
What comes next: -2494, -10029, -22586, -40165, -62766, -90389, -123034?
-160701
What comes next: 1047, 2090, 3125, 4152, 5171?
6182
What is next in 1204, 1412, 1620, 1828, 2036?
2244
What comes next: 47876, 47870, 47860, 47846, 47828, 47806, 47780?
47750
What is next in 386019, 772038, 1158057, 1544076?
1930095
What comes next: 127, 241, 339, 421, 487?
537
What comes next: -34, 92, 254, 458, 710?
1016
What is the next term in 555, 1107, 1677, 2271, 2895?
3555
What comes next: 913, 7131, 24007, 56869, 111045?
191863
What is next in 208652, 208639, 208626, 208613?
208600
What is the next term in -555, -1144, -1711, -2250, -2755, -3220?
-3639
What is next in 2438, 2362, 2286, 2210, 2134, 2058?
1982
What is the next term in 3633, 7233, 10833, 14433, 18033?
21633
What is the next term in 1194, 2464, 3760, 5088, 6454?
7864
What comes next: -8209, -8218, -8225, -8230, -8233, -8234, -8233?
-8230
What is next in 84, 209, 400, 651, 956, 1309, 1704?
2135
What is the next term in 20090, 20085, 20068, 20033, 19974, 19885?
19760
What is next in -6, 13, 68, 177, 358, 629, 1008, 1513?
2162
What is next in 101426, 202858, 304292, 405728, 507166, 608606?
710048
What is next in 365, 823, 1587, 2657, 4033, 5715?
7703
What is the next term in 358, 486, 618, 760, 918, 1098, 1306, 1548?
1830
What is the next term in 51, 184, 407, 726, 1147, 1676, 2319?
3082
What comes next: 240939, 481894, 722859, 963840, 1204843, 1445874?
1686939
What comes next: -1336, -1314, -1292, -1270, -1248, -1226?
-1204
What is the next term in -46513, -93026, -139539, -186052, -232565?
-279078
What is the next term in -231, -785, -1687, -2937, -4535, -6481, -8775?
-11417
What comes next: 75129, 75096, 75045, 74976, 74889?
74784
What comes next: -472, -958, -1446, -1936, -2428, -2922?
-3418
What is the next term in 131, 553, 1259, 2249, 3523, 5081?
6923
What comes next: 179993, 179994, 179997, 180002, 180009?
180018
What is the next term in -18749, -37507, -56271, -75041?
-93817
What is the next term in -211, -266, -357, -502, -719, -1026, -1441?
-1982
What is the next term in 1505, 1220, 753, 110, -703, -1680, -2815?
-4102
What comes next: 163085, 326168, 489251, 652334, 815417, 978500?
1141583
What is the next term in -7195, -7102, -6947, -6730?
-6451
What comes next: -11610, -11556, -11500, -11442, -11382, -11320?
-11256
What is next in -580, -577, -568, -553, -532, -505, -472?
-433
What comes next: 3347252, 3347250, 3347246, 3347240, 3347232, 3347222, 3347210?
3347196
What is next in -601, -2223, -4863, -8521, -13197, -18891, -25603?
-33333
What is next in -7744, -7759, -7774, -7789, -7804?
-7819
What is the next term in -86, -300, -600, -980, -1434, -1956, -2540?
-3180
What comes next: 338, 657, 952, 1217, 1446, 1633, 1772?
1857
What is the next term in -186, -329, -484, -651, -830?
-1021
What comes next: 7983, 31726, 71299, 126702, 197935?
284998
What is next in -3660, -7355, -11038, -14703, -18344?
-21955
What is next in 197, 46, -367, -1174, -2507, -4498, -7279, -10982?
-15739
What comes next: -78, -275, -604, -1065, -1658?
-2383
What is next in -7665, -7675, -7685, -7695, -7705?
-7715
What comes next: -1386, -2830, -4274, -5718, -7162, -8606?
-10050
What is the next term in 87, 221, 401, 627, 899?
1217
What comes next: 8914, 8891, 8868?
8845
What is the next term in -558, -114, 624, 1656, 2982, 4602?
6516
What is the next term in 123, 143, 193, 279, 407?
583
What is the next term in 7772, 7546, 7178, 6674, 6040, 5282, 4406, 3418?
2324
What is next in -97, -36, 153, 536, 1179, 2148, 3509?
5328
What is next in 348, 2809, 9482, 22473, 43888?
75833
What comes next: 2056853, 4113708, 6170563?
8227418
What comes next: 27189, 27178, 27165, 27150, 27133, 27114?
27093
What comes next: -21897, -43828, -65759, -87690?
-109621
What is the next term in 603, 1340, 2077, 2814, 3551, 4288?
5025
What is the next term in -1257, -1255, -1253, -1251, -1249, -1247?
-1245
What is next in -150, -422, -804, -1290, -1874, -2550?
-3312
What comes next: 478, 1891, 4250, 7555, 11806, 17003, 23146?
30235
What is the next term in 1878, 4754, 7628, 10500, 13370, 16238, 19104?
21968
What is the next term in 6239, 6223, 6189, 6131, 6043, 5919, 5753?
5539
What is next in -6581, -6558, -6521, -6470, -6405, -6326, -6233?
-6126
What comes next: 111, 297, 577, 951?
1419
What is next in -6319, -6346, -6407, -6514, -6679, -6914, -7231, -7642?
-8159
What comes next: 949, 1875, 2801, 3727, 4653?
5579
What comes next: 246, 555, 1392, 3021, 5706, 9711, 15300, 22737?
32286
What is the next term in 3621, 7201, 10781?
14361
What is next in -419948, -419952, -419958, -419966?
-419976
What is next in -1573, -3049, -4347, -5377, -6049, -6273?
-5959
What comes next: 403437, 806873, 1210309, 1613745?
2017181
What is the next term in -2757936, -2757938, -2757942, -2757948, -2757956, -2757966?
-2757978
What is the next term in 685, 2712, 6091, 10822, 16905, 24340?
33127
What is the next term in 94, 206, 346, 514, 710, 934, 1186?
1466
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-10245
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396
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11220
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-3090
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251717
What comes next: 35, 174, 383, 674, 1059?
1550
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-5845
What is next in 92629, 92627, 92615, 92587, 92537, 92459, 92347, 92195?
91997
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-606
What comes next: -7653, -7656, -7659?
-7662
What comes next: -32924, -32814, -32694, -32558, -32400, -32214?
-31994
What comes next: 452, 195, -36, -229, -372, -453, -460, -381?
-204
What comes next: 749511, 749513, 749517, 749523?
749531
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8097828
What is the next term in 12206, 12203, 12200, 12197?
12194
What comes next: -788, -3127, -7028, -12491, -19516?
-28103
What is the next term in -6342, -6380, -6418, -6456?
-6494
What is next in -675836, -675837, -675838, -675839, -675840?
-675841
What comes next: 321, 419, 583, 813, 1109?
1471
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16696
What comes next: -4376, -8752, -13126, -17498?
-21868
What is next in 1700, 3361, 5018, 6671, 8320, 9965?
11606
What is the next term in -716, -730, -752, -782, -820, -866, -920?
-982
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7541
What comes next: 829, 835, 839, 841, 841, 839?
835
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-393
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32175
What comes next: 1304, 1286, 1218, 1076, 836, 474, -34, -712?
-1584
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-881242
What comes next: 1077, 2082, 3089, 4098, 5109, 6122?
7137
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-9589
What comes next: 553, 553, 551, 547?
541
What comes next: -4810, -19178, -43132, -76678, -119822, -172570?
-234928
What is next in -292893, -292891, | {
"pile_set_name": "DM Mathematics"
} |
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3.
-891 + 180*sqrt(2)
Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)).
3*sqrt(19) + 1557
Simplify 1*(-1 + 3*sqrt(176))**2.
-24*sqrt(11) + 1585
Simplify sqrt(26)/sqrt(50)*2.
2*sqrt(13)/5
Simplify (-2*(0 + sqrt(252)))**2.
1008
Simplify (sqrt(304) + 5 - sqrt(190)/sqrt(250)) + 2.
7 + 19*sqrt(19)/5
Simplify (sqrt(12)*2 + 0)*-2.
-8*sqrt(3)
Simplify (1*(sqrt(27) + 2*sqrt(27)))/(-4*sqrt(36)/sqrt(4)).
-3*sqrt(3)/4
Simplify ((sqrt(3) - (sqrt(3) + -3 + 4)) + 0 + -5)**2.
36
Simplify -1*sqrt(38)/sqrt(2)*-5.
5*sqrt(19)
Simplify (sqrt(3024)*-2)/(sqrt(30)/(sqrt(40)/sqrt(4))).
-24*sqrt(7)
Simplify 4 + ((sqrt(38) - (-2*sqrt(190) + sqrt(190) - sqrt(190))/sqrt(5) - sqrt(38))/sqrt(2))**2.
80
Simplify (sqrt(180)/(-2*sqrt(6)))/sqrt(6).
-sqrt(5)/2
Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))*-6)/((sqrt(84)/sqrt(3))/sqrt(4)))**2.
1859
Simplify 2*((sqrt(26)/(sqrt(8)/sqrt(4)))**2 + sqrt(13)).
2*sqrt(13) + 26
Simplify -3*sqrt(3328).
-48*sqrt(13)
Simplify ((sqrt(143) - 3*sqrt(143))/sqrt(11) - sqrt(13))**2 - sqrt(416)/sqrt(8).
-2*sqrt(13) + 117
Simplify -5 + (4*(sqrt(2) + 0) - sqrt(2)) + sqrt(2) + 1.
-4 + 4*sqrt(2)
Simplify (sqrt(68) + 2 - sqrt(17)) + 3.
sqrt(17) + 5
Simplify (1*sqrt(3)*3 + (sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))) + -1)**2.
-10*sqrt(3) + 76
Simplify 2*(sqrt(52) + -3).
-6 + 4*sqrt(13)
Simplify sqrt(117)/(3*sqrt(108)/sqrt(12))*5.
5*sqrt(13)/3
Simplify -6*((sqrt(700)*-2 + sqrt(700))**2 + (sqrt(28) - sqrt(28)*-1) + sqrt(7)).
-4200 - 30*sqrt(7)
Simplify sqrt(133)/((sqrt(35) + sqrt(140)/sqrt(4))/sqrt(5)).
sqrt(19)/2
Simplify (1*sqrt(2) + -2)**2 + 4.
-4*sqrt(2) + 10
Simplify ((sqrt(33)*3 - sqrt(33))*-1)/sqrt(3).
-2*sqrt(11)
Simplify -1 + (sqrt(130) + -3*-3*sqrt(130))/sqrt(10).
-1 + 10*sqrt(13)
Simplify ((-2*sqrt(351))/sqrt(9))/(sqrt(3) - sqrt(36)/sqrt(48)).
-4*sqrt(13)
Simplify 3 + -2*sqrt(19) - (sqrt(1900) + 2 + sqrt(1900) - sqrt(19)).
-21*sqrt(19) + 1
Simplify sqrt(325)*-5 - (sqrt(637) + 2)**2.
-641 - 53*sqrt(13)
Simplify (2*(sqrt(39) + sqrt(156)/sqrt(4)) - sqrt(39))/((sqrt(66)/sqrt(2))/sqrt(11)).
3*sqrt(13)
Simplify sqrt(11) + 2 + 3 + sqrt(11) + (-4*sqrt(176) + sqrt(11))**2 + sqrt(11).
3*sqrt(11) + 2480
Simplify (sqrt(72)*-1 - sqrt(18))/sqrt(6).
-3*sqrt(3)
Simplify 3 + sqrt(20)*-5.
-10*sqrt(5) + 3
Simplify sqrt(20)/sqrt(40) + -5.
-5 + sqrt(2)/2
Simplify -3 + (sqrt(27) + -3*sqrt(27))**2.
105
Simplify -3 + sqrt(70)/sqrt(490).
-3 + sqrt(7)/7
Simplify (2*sqrt(17) + 3)*6.
18 + 12*sqrt(17)
Simplify (sqrt(351)/sqrt(3) + -4 + 4)**2.
117
Simplify (sqrt(7) + 3 + 4)*-2 + 0.
-14 - 2*sqrt(7)
Simplify (3*sqrt(637) - sqrt(637) - sqrt(637)) + 4*sqrt(1872).
55*sqrt(13)
Simplify (sqrt(1700) - (sqrt(1700) + 1)*-5)**2.
600*sqrt(17) + 61225
Simplify ((sqrt(88) - 2*sqrt(88))*-6)/sqrt(8).
6*sqrt(11)
Simplify ((sqrt(425) + -1)*-5)**2 + -3.
-250*sqrt(17) + 10647
Simplify -5 + ((sqrt(10)*3)/sqrt(2))**2.
40
Simplify ((sqrt(448) + sqrt(7))*-6*-1)**2.
20412
Simplify ((sqrt(30)/sqrt(6))**2 + 1)*-2.
-12
Simplify -1 + (sqrt(637) + (1 + sqrt(637) - sqrt(637)) - 5*(sqrt(52) - sqrt(13))**2).
-65 + 7*sqrt(13)
Simplify sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(7) + -2 + 4 - sqrt(7))**2 + -5.
-1 + 3*sqrt(7)
Simplify (-5 + 1*(-4 + (sqrt(44) - sqrt(11)) - sqrt(11)))**2.
81
Simplify (sqrt(168)/(sqrt(32)/sqrt(4)))/(sqrt(7) + sqrt(63)*-5).
-sqrt(3)/14
Simplify -4*(sqrt(28)/sqrt(4))**2*-1.
28
Simplify (sqrt(243)*2)**2 - -6*2*sqrt(3).
12*sqrt(3) + 972
Simplify sqrt(15)/sqrt(80).
sqrt(3)/4
Simplify (sqrt(26)*-2)/sqrt(2) + -3 + 0.
-2*sqrt(13) - 3
Simplify 2 + 2 + (sqrt(3) - sqrt(24)/sqrt(512))**2.
403/64
Simplify (-2*(-5 + sqrt(1900)*-2*6 + sqrt(1900)))**2.
4400*sqrt(19) + 919700
Simplify (-3 + sqrt(192)*2)**2*-4.
-3108 + 384*sqrt(3)
Simplify sqrt(85)/(sqrt(5) + (sqrt(560) - sqrt(35))/sqrt(7)).
sqrt(17)/4
Simplify (sqrt(102) + 4*4*sqrt(102))/(sqrt(6) + sqrt(36)/sqrt(24)).
34*sqrt(17)/3
Simplify (sqrt(5) - (1 + sqrt(5))) + 4 + sqrt(35)/(sqrt(14)/sqrt(2)).
sqrt(5) + 3
Simplify (2*sqrt(56)*-1)/(sqrt(8) + sqrt(16)/sqrt(8)).
-4*sqrt(7)/3
Simplify ((3*sqrt(1100) - sqrt(1100))*2)**2 + sqrt(1100) + -1*(sqrt(1100) - (sqrt(1100)*2)**2).
22000
Simplify sqrt(26)/(sqrt(242) + 2*sqrt(242) + sqrt(242) + sqrt(2)).
sqrt(13)/45
Simplify ((sqrt(77) + -3*sqrt(77))*-6 + sqrt(77) + sqrt(77))/sqrt(7).
14*sqrt(11)
Simplify -3*((sqrt(152) - sqrt(152)*2*2)/(sqrt(8) + (sqrt(96)*2)/sqrt(12)))**2.
-57
Simplify ((-3 + sqrt(108))**2 + sqrt(3))*-2.
-234 + 70*sqrt(3)
Simplify ((sqrt(125) - sqrt(125)*-4)*-5 - sqrt(125))**2 + 5.
84505
Simplify -4 + sqrt(432) + 5 + (1 + sqrt(432) - sqrt(432))**2.
2 + 12*sqrt(3)
Simplify 5*sqrt(36)/(sqrt(12)*-2).
-5*sqrt(3)/2
Simplify (2*sqrt(1100))**2 + -1 + -4.
4395
Simplify -5 + 4*sqrt(176)*-5.
-80*sqrt(11) - 5
Simplify (sqrt(11) - (-1 + sqrt(275) - sqrt(11)) - ((sqrt(11) + -1)**2 + -2)) + (sqrt(1584) + 1 + sqrt(1584) + -1)**2.
-sqrt(11) + 6327
Simplify (sqrt(133) - (2*sqrt(133) + sqrt(133)))/sqrt(7) - sqrt(19) - (sqrt(152)*-3)/sqrt(8).
0
Simplify (4 + 1*(sqrt(5)*-3 + -5))**2.
6*sqrt(5) + 46
Simplify (sqrt(117))**2 + -1 + (sqrt(91)*1 - sqrt(91) - sqrt(91))/sqrt(7) - (sqrt(1872) - (1 + sqrt(1872) + -3))**2.
-sqrt(13) + 112
Simplify (-2*-1*sqrt(44))/(sqrt(36)*5).
2*sqrt(11)/15
Simplify (sqrt(396) + 2)*5.
10 + 30*sqrt(11)
Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704)*-3*-2)**2 + sqrt(704)) - sqrt(704)).
-25344 - 8*sqrt(11)
Simplify -1*sqrt(28) + sqrt(7) + -4.
-4 - sqrt(7)
Simplify sqrt(15)/(sqrt(5)*-2*3).
-sqrt(3)/6
Simplify 3*sqrt(288) - (sqrt(16)*-2)/sqrt(8).
38*sqrt(2)
Simplify (-2 + sqrt(2057) + -4)**2.
-132*sqrt(17) + 2093
Simplify -3*(0 + sqrt(2) + 0).
-3*sqrt(2)
Simplify ((sqrt(88) - sqrt(88)*1)*4)/(sqrt(8) + (sqrt(8) - (sqrt(8) + -2*(sqrt(24)/sqrt(3) + sqrt(8))))).
0
Simplify ((2*sqrt(520))/sqrt(10))/(sqrt(36)/(sqrt(36)/sqrt(4) + sqrt(9))).
4*sqrt(13)
Simplify 3*(sqrt(1872) - (2*sqrt(1872) - sqrt(1872)))*6*-4.
0
Simplify (sqrt(85) - (sqrt(85) + (sqrt(85) + (sqrt(85) - -5*(sqrt(85)*1 - sqrt(85))) - sqrt(85))))/(1*sqrt(500)).
-sqrt(17)/10
Simplify (-2 + sqrt(275) - sqrt(11)) + (sqrt(33)/sqrt(27) + sqrt(11))**2.
4*sqrt(11) + 158/9
Simplify (sqrt(78)*1*-4 - sqrt(78))/((sqrt(150)/sqrt(5))/sqrt(5)).
-5*sqrt(13)
Simplify 2*(6*(sqrt(320) + 0)*6)**2.
829440
Simplify ((sqrt(136) + sqrt(136) + sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136))*-4)/(sqrt(48)/sqrt(96)).
-96*sqrt(17)
Simplify (5*(sqrt(147) - (sqrt(147) + (2*sqrt(147) - sqrt(147))))*1)**2.
3675
Simplify (5*(sqrt(132) + (sqrt(132) - ((-5*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132)))))/sqrt(12) + 1.
1 + 40*sqrt(11)
Simplify (sqrt(66)/(sqrt(6)*4))**2 + -2.
-21/16
Simplify (-1 + sqrt(11) + -5)**2 + -4.
-12*sqrt(11) + 43
Simplify sqrt(55)/(sqrt(11) + 2*sqrt(539)) + -2.
-2 + sqrt(5)/15
Simplify (((sqrt(700) + -1)**2 - sqrt(700)) + 4)*-1.
-705 + 30*sqrt(7)
Simplify 1*(sqrt(396)/sqrt(4) - sqrt(11)).
2*sqrt(11)
Simplify ((sqrt(99)*3 - sqrt(44)*5)*1)**2.
11
Simplify -3 + 2 + sqrt(76)/sqrt(4) + -4.
-5 + sqrt(19)
Simplify sqrt(170)/((2*sqrt(60))/sqrt(6)).
sqrt(17)/2
Simplify (-3 + sqrt(32) + sqrt(4)/sqrt(2) + 5 + 1)**2.
30*sqrt(2) + 59
Simplify ((sqrt(1872) - (sqrt(1872) - ((sqrt(1872)*1 - sqrt(1872)) + sqrt(1872)))) + sqrt(1872))/sqrt(4).
12*sqrt(13)
Simplify 1 + (sqrt(42)*-1*5)/sqrt(6).
-5*sqrt(7) + 1
Simplify (2*(sqrt(70) - -2*sqrt(70)))/(sqrt(10) - sqrt(80)/sqrt(32)).
12*sqrt(7)
Simplify (-2 + -2 + sqrt(19)*-2)**2 + sqrt(152)/(sqrt(8) - (sqrt(8) - -4*-1*sqrt(8)) - sqrt(8)).
49*sqrt(19)/3 + 92
Simplify ((0 + sqrt(320) + -1)**2 + -4)*6.
-96*sqrt(5) + 1902
Simplify (sqrt(45)*-2*1)/(sqrt(9) + sqrt(81)*3 + sqrt(9) + sqrt(9)).
-sqrt(5)/6
Simplify 1*-1*sqrt(5)*2 + -4.
-2*sqrt(5) - 4
Simplify sqrt(76)*1 + 0.
2*sqrt(19)
Simplify (6*(-6*(sqrt(12)/sqrt(4) + sqrt(3)) - sqrt(3)))**2.
18252
Simplify ((sqrt(2) - -4*sqrt(8)/sqrt(4)) + sqrt(2))**2 + sqrt(36)/sqrt(2).
3*sqrt(2) + 72
Simplify (sqrt(77)/(-2*sqrt(11)))**2 - (-2*sqrt(84))/sqrt(12).
7/4 + 2*sqrt(7)
Simplify (sqrt(121) - (sqrt(121) - (2*(sqrt(121) - 1*sqrt(121)) + sqrt(121))))/(sqrt(539)*-1).
-sqrt(11)/7
Simplify sqrt(60)/(sqrt(12) - sqrt(768)) + 0.
-sqrt(5)/7
Simplify (-4 + sqrt(200))**2 + (sqrt(2) - (sqrt(2) - (3*sqrt(2) + -2)**2)).
-92*sqrt(2) + 238
Simplify (sqrt(11) - (sqrt(11) + (sqrt(110) + 1*sqrt(110))/sqrt(10))) | {
"pile_set_name": "DM Mathematics"
} |
l?
False
Which is smaller: -991/58 or -17?
-991/58
Which is greater: -2/264491 or 1?
1
Which is bigger: -6.4 or -20387?
-6.4
Is 2/11 >= -312/67?
True
Which is greater: -223329 or 1?
1
Are 26319 and 26320 nonequal?
True
Which is bigger: -1/7 or -609034?
-1/7
Which is smaller: -10865 or -11?
-10865
Which is smaller: -556 or 267?
-556
Which is bigger: -172 or -409?
-172
Is 3147 > 3148?
False
Is 12275 > 1/8?
True
Does -36/15865 = -1?
False
Which is smaller: 386 or 203?
203
Which is greater: 427563/7 or 61080?
427563/7
Which is greater: 69786/25 or 2792?
2792
Is -2242783 greater than -2242782?
False
Are 773485/9 and 85942 unequal?
True
Is 0.1 <= 345/686?
True
Which is smaller: -1 or -29/8567?
-1
Which is smaller: 289515 or 289510?
289510
Which is smaller: -2/53749 or 1?
-2/53749
Is 4295 at least as big as 4292?
True
Which is bigger: 29 or -870?
29
Are 57139/14 and 4082 nonequal?
True
Which is smaller: -801 or -736?
-801
Which is bigger: 15819/418 or 37?
15819/418
Which is smaller: 5/2903 or 2?
5/2903
Are 3101 and 3102 non-equal?
True
Which is smaller: 64/13 or -18/31?
-18/31
Which is greater: 2/3 or 193966?
193966
Is -9/3844 < 1?
True
Which is smaller: 0 or -22/126227?
-22/126227
Is 7202 less than or equal to 194426/27?
False
Is -7455 != -7453?
True
Do 6/325 and -62 have different values?
True
Is -39/2695 > -2?
True
Is 869034/5 > 173807?
False
Which is greater: 1313.1 or -23?
1313.1
Is -5.9462 greater than or equal to -0.1?
False
Is 192065/12 > 16004?
True
Which is smaller: -2/6811 or -16?
-16
Which is smaller: 2/5 or 16993?
2/5
Which is smaller: 128 or 211?
128
Which is smaller: 50/2437 or 0?
0
Do 348 and 352 have different values?
True
Which is smaller: -13909 or -14029?
-14029
Which is bigger: 45 or -3104/5?
45
Is -244 smaller than -18?
True
Which is bigger: 13079 or 13072?
13079
Which is bigger: 52006 or 52011?
52011
Is -0.11 greater than or equal to 146703?
False
Which is greater: 0.586324 or 3?
3
Are 0 and -1/656758 equal?
False
Which is smaller: -1 or -12/68587?
-1
Is 606 at most 394?
False
Is -373056 bigger than -373054?
False
Which is smaller: -1/345559 or -1?
-1
Are -50046 and -50048 unequal?
True
Is -105776 at most as big as -105775?
True
Which is bigger: -27 or -3/196?
-3/196
Is 45781 != 45781?
False
Are 3/7 and 48.5 unequal?
True
Is 0.118838 not equal to -1?
True
Is 644 at least as big as 10932/17?
True
Is -1/645 smaller than 395?
True
Which is greater: -59967 or -59966?
-59966
Which is bigger: 6 or -84.437?
6
Is 2921/51 < 57?
False
Do -86941 and -86938 have different values?
True
Are 0 and 72/7981 non-equal?
True
Which is smaller: 0.001 or -41/4?
-41/4
Which is greater: 8411/15 or 562?
562
Is 339418 smaller than 1697097/5?
True
Is 33/23404 at least as big as 1?
False
Is -1 != 147/8206?
True
Is -14/33415 less than 0?
True
Which is greater: 5525 or 5529?
5529
Is 1/1446501 at most as big as -1?
False
Which is greater: -1 or -1/35900?
-1/35900
Is -398338 bigger than -398338?
False
Which is smaller: 1632 or 1640?
1632
Is -2041.96 <= -2/7?
True
Do 0 and 7/45415 have the same value?
False
Is 4 smaller than -41/48?
False
Which is smaller: -11 or -419?
-419
Which is greater: -1 or -3/10160?
-3/10160
Which is bigger: -24596 or 4?
4
Which is bigger: 211124/3 or 0?
211124/3
Is -6.224 at most 0.5?
True
Is 1511659 equal to 1511659?
True
Which is smaller: -91124/7 or 0.7?
-91124/7
Is -640 equal to -21?
False
Which is smaller: 121824 or 121791?
121791
Which is smaller: 264272/101 or 2617?
264272/101
Which is bigger: 1384 or 1385?
1385
Which is greater: 61/5 or 0.2064?
61/5
Is -82643 at least as big as -82648?
True
Which is bigger: 1 or 68/37101?
1
Which is smaller: -504222 or -504224?
-504224
Do 14.315 and -4.55 have different values?
True
Is 1 bigger than -1/184008?
True
Which is smaller: 1897 or 1910?
1897
Is -1055 smaller than -370?
True
Is -44899 > -44912?
True
Is -1 not equal to 13.6481?
True
Is 141439 bigger than 141440?
False
Which is smaller: -1 or -21213?
-21213
Which is smaller: -284/4503 or 1?
-284/4503
Is -164 greater than 3?
False
Is 2056704 equal to 2056705?
False
Is 386/10347 at least 0?
True
Which is greater: 81/226 or 0?
81/226
Which is smaller: 0 or -52/15167?
-52/15167
Is -13/3 less than 804/31?
True
Is -12837 < -12845?
False
Which is bigger: -79700 or -79712?
-79700
Is -0.1 equal to -2612197?
False
Is 2252 greater than 2555?
False
Are -477 and 427 non-equal?
True
Which is greater: -5513 or -11?
-11
Which is smaller: 3 or -6/39395?
-6/39395
Are 40 and 9635/234 non-equal?
True
Is -69418 not equal to -69419?
True
Is 121457 <= 364369/3?
False
Which is smaller: 26985 or 11?
11
Which is smaller: 44371 or 0.3?
0.3
Which is smaller: 13188 or 13220?
13188
Is -480/61 equal to -1/76?
False
Which is smaller: 4543 or -11?
-11
Which is greater: 0 or -6/171617?
0
Which is smaller: -30.139 or -18/11?
-30.139
Are 1 and -243/8425 equal?
False
Which is greater: -11538.34 or -0.1?
-0.1
Which is smaller: 6034 or 42243/7?
6034
Is -2/3 at least as big as -2500290?
True
Is 15257/27 <= 564?
False
Does 23811 = 23825?
False
Is -2134921 <= -2134918?
True
Are -0.046 and -426 non-equal?
True
Which is smaller: 0 or -220/449?
-220/449
Are 22 and -14777 nonequal?
True
Is -10195579 not equal to 0.1?
True
Is 5749 < -5.7?
False
Which is smaller: -729/19619 or 0?
-729/19619
Is -14787 > -14795?
True
Are -2065 and -14463/7 nonequal?
True
Is 197487/10 equal to -2?
False
Which is smaller: 772 or 25?
25
Is -104/136817 smaller than 0?
True
Which is smaller: 73086/17 or 4300?
73086/17
Which is greater: -4600 or -4597?
-4597
Is -0.0738 less than or equal to 714?
True
Which is smaller: -233 or 466?
-233
Which is smaller: -22 or -1538?
-1538
Are 2290 and 2380 unequal?
True
Is 11.1 bigger than -1569?
True
Do -3680523 and -3680524 have the same value?
False
Which is smaller: -3/2383252 or -1?
-1
Which is smaller: -93813/7 or -13401?
-93813/7
Which is greater: 5854929/4 or 1463733?
1463733
Is -24053 bigger than -24054?
True
Which is bigger: -14385 or -14352?
-14352
Which is greater: 0 or 7/1609?
7/1609
Is -2656284 at least as big as -2656284?
True
Is 1/1340767 <= 0?
False
Which is smaller: -1/324384 or 0?
-1/324384
Which is smaller: 2949 or 2547?
2547
Is 12671 at least 139369/11?
True
Which is bigger: -108146 or -108155?
-108146
Is 78156 != 78158?
True
Is -3275420 at least as big as -3275419?
False
Is 102361 >= 102357?
True
Which is smaller: -1300384/5 or -260077?
-260077
Which is smaller: -10.2 or -358?
-358
Is -20726 at least as big as -20719?
False
Which is bigger: 10621 or 10616?
10621
Is -74 greater than or equal to -79?
True
Is 86040 bigger than 86041?
False
Is -6570 <= -6569?
True
Is -58/23759 at most as big as 0?
True
Which is smaller: 7749/16 or 483?
483
Which is smaller: 19319/5 or 3865?
19319/5
Is 5/1032 >= 0?
True
Is 115/4311 <= -1?
False
Which is greater: -3254 or -289510/89?
-289510/89
Is -889292/7 <= -127043?
False
Which is smaller: -491428 or -491427?
-491428
Which is bigger: -43270 or -43276?
-43270
Does -389958 = -389957?
False
Which is smaller: 19 or -75/107?
-75/107
Is 4465308 less than or equal to 4465306?
False
Is -22755 < 41?
True
Is 365 > 129?
True
Is 6288455 greater than 6288455?
False
Is -11760 greater than or equal to -11852?
True
Is -35678/11 at most -3242?
True
Is -1170/1213 bigger than -2?
True
Which is greater: 0.00817881 or -1?
0.00817881
Is 0.532812 < 1?
True
Which is bigger: -139 or -728?
-139
Is 17660 less than or equal to 17659?
False
Which is greater: 16/7661 or -1?
16/7661
Which is smaller: -2150 or -2148?
-2150
Do 0.18 and 29.135 have the same value?
False
Is 11/31133 equal to 0?
False
Which is bigger: -0.0365 or 2/3?
2/3
Is -57662 at least as big as -57661?
False
Does 0.21 = 249?
False
Which is smaller: 136/66383 or 1/4?
136/66383
Which is smaller: 52536/277 or 189?
189
Is -2/3 at least as big as 40031?
False
Which is bigger: -512625 or -512624?
-512624
Which is bigger: -2124 or -2101?
-2101
Which is bigger: 2/11 or 23226?
23226
Is 3 > 4188/2323?
True
Which is smaller: 1 or -8/3881?
-8/3881
Which is bigger: -1085 or -1095?
-1085
Which is bigger: 11697 or 11566?
11697
Is -1 at least as big as -10/238953?
False
Which is greater: -41549 or -41548?
-41548
Which is smaller: -157 or 0.561?
-157
Is 1 equal to -4707111?
False
Which is bigger: | {
"pile_set_name": "DM Mathematics"
} |
*r**2 - 9. Calculate the remainder when a(5) is divided by 19.
15
Suppose 4 = 5*j - p, -2*j + 4 = j - p. Suppose j = -y + o + 51, -3*y + 2*y + 63 = 2*o. What is the remainder when y is divided by 19?
17
Suppose -z - w + 3*w + 8 = 0, -5*z + 5*w = -15. Let p be (-5)/2*(z + 0). Suppose p*t - 38 = 3*t. Calculate the remainder when t is divided by 5.
4
Suppose 5*d + 18 = 8*d. What is the remainder when 2/6 + 280/6 is divided by (d/(-9))/(1/(-24))?
15
Let c = 22 - 7. Suppose 3*u = c + 3. What is the remainder when u is divided by 2?
0
Let f be -1 + 1/(2/(-12)). Let g = -5 - f. Calculate the remainder when 2 is divided by g.
0
Let a = 18 + -25. Let i(j) = j + 8. Let n(h) = -h**2 + 6*h + 8. Calculate the remainder when i(a) is divided by n(7).
0
Let g be (((-12)/(-3))/(-2))/(-1). Suppose 5*s - g*s - 39 = 0. Calculate the remainder when 37 is divided by s.
11
Let b(u) = -u**3 - 5*u**2 - 3*u - 7. Let k be b(-5). What is the remainder when ((-2)/4)/(k/(-224)) is divided by 5?
4
Suppose -5*l + 3*p = -2*p - 690, -4*l + 552 = -2*p. Calculate the remainder when (3/(-2))/((-3)/l) is divided by 24.
21
Let l = 4 + -3. Suppose -q = -l - 1. Calculate the remainder when 4 is divided by q.
0
Let v(l) = -l**3 + 9*l**2 - 5. Let r be v(9). Let c(x) = -x**2 - 6*x + 4. What is the remainder when 16 is divided by c(r)?
7
Suppose 5*j + 49 - 219 = 0. What is the remainder when 66 is divided by j?
32
Let n(p) = -p**3 - 8*p**2 - 2*p + 9. Let b(w) = -w + 1. Let a be b(7). Let k(z) = z**3 + 5*z**2 - 9*z - 5. What is the remainder when n(-8) is divided by k(a)?
12
Suppose -5 = -4*f + 43. Suppose 2*p + 3*p = 165. Calculate the remainder when p is divided by f.
9
Let z be (-15)/(-10)*(-14)/(-3). What is the remainder when 20 is divided by (z/4)/(3/12)?
6
What is the remainder when 2 - 0 - (-111 - -5) is divided by 28?
24
Let d(f) = f + 4. Let b be d(3). Let v(x) = x**3 - 2*x + 1. Let m be v(2). Let g = m + b. Calculate the remainder when 35 is divided by g.
11
Calculate the remainder when -115*(2 - (-84)/(-30)) is divided by 33.
26
What is the remainder when (39/9 + 1)*(-6)/(-4) is divided by 5/((-1 - 1) + 3)?
3
Let u = 2 - 0. Suppose -u*w = -7*w + 70. Calculate the remainder when 25 is divided by w.
11
Let r = -136 - -501. Suppose 0 = -10*v + 5*v + r. Calculate the remainder when v is divided by (-1 - 0 - 0) + 20.
16
Suppose 8 = x + 1. Suppose -131 - 194 = -5*i. Suppose 2*n - x*n + i = 0. What is the remainder when 37 is divided by n?
11
Let j = 56 - 46. What is the remainder when 19 is divided by j?
9
Calculate the remainder when (-12)/4 + (-208)/(-2) is divided by 26.
23
Suppose -18*s + 22*s - 568 = 0. What is the remainder when s is divided by 18?
16
Let q be (-4)/4 + 0 - -3. Suppose -3*x + 23 = q*b - 19, 0 = -2*x + 3*b + 41. What is the remainder when x is divided by 9?
7
Suppose 4*f - 44 = -8. What is the remainder when 13 is divided by f?
4
Let l(v) = 119*v**2 - 1. What is the remainder when l(-1) is divided by 17?
16
Let h be (-2)/(-3) - (-813)/9. Let r = 53 - 105. Let b = h + r. Calculate the remainder when b is divided by 10.
9
Calculate the remainder when 33 is divided by (-100)/(-55) + -2 + 134/11.
9
Let o(m) = m - 16. Calculate the remainder when 15 is divided by o(19).
0
Suppose -4 - 141 = -5*u. Let p = u + -2. What is the remainder when p is divided by 7?
6
Suppose -4*r + 0*r + 40 = 0. What is the remainder when 17 is divided by r?
7
Let s be 2/8 + 7/(-28). Suppose s = -4*c + 16 + 8. Suppose 3*h = c + 24. What is the remainder when h is divided by 6?
4
Let q(s) = s**3 - 6*s**2 + 3*s - 5. Suppose -5*a = -a - 24. What is the remainder when 25 is divided by q(a)?
12
What is the remainder when (132/(-154))/((-6)/28) is divided by 3?
1
Suppose 0 - 2 = z, -3*z = -3*l + 30. What is the remainder when 22 is divided by l?
6
Suppose c + 8 = v, 3*c - 4 = -v + 6*c. Calculate the remainder when v is divided by 8.
2
Suppose r + n - 65 = 5*r, 4*r + 3*n = -61. Let x = 43 + r. Calculate the remainder when 53 is divided by x.
26
Suppose 0 = -5*m - 4*g + 89, 2*m - 3*g + 0*g - 54 = 0. Let l(k) = 9*k - 9. What is the remainder when l(10) is divided by m?
18
Suppose -4*l + 9*l - 11 = 3*h, 5*h + 4*l + 80 = 0. Let s = -8 - h. Suppose -6*k - 15 = -k, s*j + 2*k - 66 = 0. What is the remainder when j is divided by 10?
8
Calculate the remainder when (64 - 7) + (0 - (1 + -3)) is divided by 5.
4
Let r(t) be the second derivative of -11*t**3/6 + 5*t**2/2 + 8*t. Calculate the remainder when r(-6) is divided by 18.
17
Let o(h) = 26*h + 2. Let x(q) = 13*q + 1. Let r(k) = 3*o(k) - 5*x(k). Let s(p) = 2*p**2 - 12*p. Calculate the remainder when r(4) is divided by s(7).
11
Let l = 61 - 49. What is the remainder when 130 is divided by l?
10
Suppose -2*k + 3 = 11. What is the remainder when ((-114)/k)/(3/4) is divided by 13?
12
Suppose n + 3*r + 2*r - 42 = 0, -5*n - 5*r = -210. Calculate the remainder when n is divided by 9.
6
Let z(y) = -1 - y + y + 2*y. What is the remainder when z(7) is divided by 5?
3
Suppose 90 = 4*q + 5*q. What is the remainder when 27 is divided by q?
7
Let f(w) = 10*w**2 + 2*w - 1. Let p = 1 + 0. Calculate the remainder when f(p) is divided by (-2)/(-10) - (-38)/10.
3
Suppose -103 = -5*z + 127. Calculate the remainder when (9 + -5)*z/4 is divided by 12.
10
Let j be 0*(0 + 3/6). Let p = 10 + j. Calculate the remainder when p is divided by 2/((-6)/(-4) - 1).
2
What is the remainder when 23 is divided by (-7)/(2*(-3)/6)?
2
Suppose 16*a - 446 = -78. What is the remainder when 41 is divided by a?
18
Let o(k) = -k**2 + 3*k - 6. Let j(a) = -2*a**2 + 3*a - 5. Let s(m) = -2*j(m) + 3*o(m). Calculate the remainder when s(3) is divided by (-1)/(-3) + 34/6.
4
Suppose 0*c + 3*c = 12. Suppose c*g - 68 = 3*b, -4*g + 7 = 5*b - 61. Calculate the remainder when 32 is divided by g.
15
Let h(x) = 4*x - 4. Let g = -19 + 66. What is the remainder when g is divided by h(4)?
11
Let v(f) = 0*f**3 - 3*f**2 + 2 + 9*f**2 + 2 - f**3. What is the remainder when v(5) is divided by 10?
9
Suppose -2*a + 63 = -0*a + 5*m, 5*m + 70 = 5*a. What is the remainder when 55 is divided by a?
17
Suppose 6 + 249 = 5*j. What is the remainder when j is divided by 11?
7
Suppose 3*v - z = 5*v - 23, 5*v - 47 = z. What is the remainder when v is divided by (-5 + -1)*6/(-9)?
2
Let m(h) be the first derivative of -h**4/4 - 5*h**3/3 + 3*h**2/2 - 4*h + 1. Suppose 5*n - 54 = 3*n. What is the remainder when n is divided by m(-6)?
13
Calculate the remainder when 25*((0 - 0) + 1) is divided by 5.
0
Let p = 172 + -119. Let b(r) = -r**3 + 4*r - 3 + 3*r**3 - 8*r**2 + 0*r**2 + 3*r**2. What is the remainder when p is divided by b(3)?
17
Let q = 7 - 4. Calculate the remainder when 14 is divided by q.
2
Calculate the remainder when (11/22)/(((-6)/(-436))/3) is divided by 37.
35
Let r(x) = -34*x - 2. Calculate the remainder when r(-1) is divided by 17.
15
Suppose 4*h + 17 = p + 4, 3*p = h + 6. Let v(z) = 3*z**2 - 17*z - 40. What is the remainder when v(-3) is divided by (2 + (-32)/6)*h?
8
Suppose -4*t - 10 = -2*i, i + 17 = 4*i - 5*t. Let h = -11 + 25. Suppose 0 = -2*y + h + 18. Calculate the remainder when y is divided by i.
7
Suppose -5*k + 107 = 622. Let y = 62 + k. Let z = -23 - y. Calculate the remainder when z is divided by 10.
8
Suppose 8 = -5*n - 2, 3*m + n - 31 = 0. Calculate the remainder when m is divided by 8.
3
Let b be (-9)/6*(-222)/(-9). Let d = -25 - b. Calculate the remainder when 33 is divided by d.
9
Suppose -2*r = -14 - 8. Calculate the remainder when (13/3)/((-1)/(-6)) is divided by 6 + 0 + -3 + r.
12
Suppose -4*p = -2*j + 20 + 2, 0 = 4*p. What is the remainder when 42 is divided by j?
9
Let z = -42 + 70. What is the remainder when z is divided by (-42)/(-5) + 8/(-20)?
4
Let g be 2968/40 - (-2)/(-10). Suppose -s + g = s. Calculate the remainder when s is divided by 13.
11
Let v(b) = 4*b. Let o be v(1). Suppose -z = 3*z + o, -3*y + 4*z = -13. Calculate the remainder when y is divided by 3.
0
Suppose 0*n + 2*y = -5*n + 1266, 2*n = -4*y + 516. Let g = -177 + n. Suppose m - g = -4*m. Calculate the remainder when 43 is divided by m.
13
Suppose -11*t + 8*t = -84. What is the remainder when 111 is divided by t?
27
Suppose o - 116 = -3*o. Let n be (-248)/(-14) + 2/7. Let y = -8 + n. What is the remainder when o is divided by y?
9 | {
"pile_set_name": "DM Mathematics"
} |
6). Let t = x - -149. What is the tens digit of t?
5
Let i(d) = 14*d - 10*d + 222 - 25*d**3 + 26*d**3. What is the units digit of i(0)?
2
Suppose 5*f = 175 + 365. Suppose f = 6*y - 2*y. Suppose 0 = j - y - 13. What is the tens digit of j?
4
Suppose -77434 - 5922 = -14*k. What is the tens digit of k?
5
Suppose 3*u - 659 = -q, 4*u - 2264 - 396 = -4*q. What is the units digit of q?
8
Suppose -64*g = -68183 - 48873. What is the tens digit of g?
2
Let m = -14 - -20. Let o be 7/42 + (-313)/m. Let b = 5 - o. What is the units digit of b?
7
What is the units digit of (5604*1/(-8))/((-6)/28)?
9
Let s(q) = 11*q**2 + 2*q + 3. Let o be s(-2). Let g = o + 28. What is the units digit of g - 0/4 - -2?
3
Let o(j) be the first derivative of -3*j**4/2 - j**3/3 - j**2/2 - j - 3. Suppose -r = -3, 0*f - 2*r = -f - 7. What is the units digit of o(f)?
5
Suppose g + 3*g = -460. Let s = g - -182. What is the tens digit of s?
6
Let w(k) = 2*k - 2. Let a be w(1). Suppose g - 45 = 3*y, a = 4*g - 6*y + 3*y - 153. What is the tens digit of g?
3
Suppose -272 = 5*i - 1287. Suppose y + 6*v - i = 4*v, 5*v = y - 238. Suppose -4*l + 2*a + 217 - 55 = 0, 5*l = -a + y. What is the units digit of l?
2
Let s(m) = 13*m**3 + 2*m**2 - m. Let p(j) = 5 + 3*j + 3*j - 6*j - j. Let g be p(4). What is the units digit of s(g)?
4
Let y(d) be the second derivative of 31*d**3/6 - d**2 - 5*d. What is the units digit of y(1)?
9
Let p = -38 + 40. Suppose -p*d + 371 = 5*z, 0*d = 4*z - d - 289. What is the tens digit of z?
7
What is the tens digit of (-46)/(5/40*-1)?
6
Suppose -4*k + 4*w - w - 55 = 0, 0 = k + 2*w. What is the tens digit of (-85)/34*372/k?
9
Let w = 817 - 565. Suppose 27*x + w = 33*x. What is the tens digit of x?
4
Let l(z) = -38*z + 232. What is the hundreds digit of l(-32)?
4
Suppose 4*s = 3*y - 353, 0 = -y - 3*s + 30 + 92. Suppose 7 = -2*d + y. Suppose -4*h = -0*h - d. What is the units digit of h?
4
Let h(x) = x**2 + 3*x + 12. What is the tens digit of h(-4)?
1
Let q = -304 - -495. Let b = 322 - q. What is the hundreds digit of b?
1
Let t = 1094 - 599. Let x = t - 296. What is the tens digit of x?
9
Let j = 24 + -22. Let v be 0 + j - -3 - 1. Suppose -v*y = -2*y - 158. What is the tens digit of y?
7
Suppose -j + 10 = i, -j - 6 = i + 4*j. Let w(n) = n**2 - 7*n + 2. What is the hundreds digit of w(i)?
1
Suppose -149 = -4*b - 6*u + u, 0 = -3*u - 9. What is the units digit of b?
1
Suppose 622 = -11*a - 852. Let n = -109 - a. What is the tens digit of n?
2
Suppose -1482*g = -1476*g - 180. Let p = 1 + -1. Let n = p + g. What is the units digit of n?
0
What is the hundreds digit of 54/((-12)/16 - -1)?
2
Let j = -38 - -32. Let d be 0/(-3) + j/(-2). Suppose d = 3*f - 3*m - 108, 4*f - 3*m = 143. What is the units digit of f?
2
Suppose -18 = i + 5*t, -6*i + 12 = -5*i - t. Let f(p) = -p + 13. What is the units digit of f(i)?
6
Let y = 2503 + -1315. What is the tens digit of y?
8
What is the units digit of (-299316)/(-96) + (-5)/(-200)*5?
8
Let c(g) = 66*g**2 + g. Let j be c(1). Let n = j + -47. Suppose -r = 0, 0*r + n = 5*d + 3*r. What is the units digit of d?
4
Let p = 8 + -71. Let t = 107 + p. Let g = t - 15. What is the tens digit of g?
2
Let u(v) = 473*v**3 - 3*v**2 + 9*v - 23. What is the thousands digit of u(2)?
3
Let q = 675 - 423. What is the units digit of q?
2
Suppose 2*i - 5*j + 23 = -2*i, 5*j = 3*i + 21. What is the units digit of i/((-6)/15) + -3?
2
Suppose -8*l - 5*l = -5174. What is the hundreds digit of l?
3
Let b(r) = r**2 + 19*r + 901. What is the tens digit of b(0)?
0
Let b = 27 + -20. Let j = 9 - b. Suppose -j*f = 2*y - 32, -2*y + 3*f - 12 = -3*y. What is the tens digit of y?
1
Suppose 4*i = 2*i + 1422. What is the units digit of i?
1
Let y be 41 + ((-2)/(-1) - -1). Let x = y - -42. What is the units digit of x?
6
Suppose 2*x = -98 - 108. Let q = x + 148. What is the tens digit of q?
4
Suppose 2*c = -5*r + 1876, 0 = 3*c + 2*c + 10. What is the hundreds digit of r?
3
Let i(z) = z**3 + 2*z**2 + z - 2. Suppose j + 2 = -0. Let q be i(j). Let w = q + 11. What is the units digit of w?
7
Let n(d) = -d**3 + 13*d**2 - 12*d - 2. Let o be n(12). What is the units digit of ((-8)/o)/((-52)/(-3198))?
6
Let i = 10 - -360. What is the units digit of i?
0
Let p = 376 + -98. What is the units digit of p?
8
Let t = 85 - 135. Let d be (9/5)/(10/t). Let f(j) = -6*j - 13. What is the units digit of f(d)?
1
Let a = 126 - -262. Suppose -3*b + l = -557, 0 = -0*b - 2*b + 4*l + a. What is the units digit of b?
4
Let c(s) = s**3 - 13*s**2 - 2*s + 31. Let q be c(13). Suppose 4*t = -3*u + 307, -u = q*t + u - 389. What is the units digit of t?
9
Suppose 1470 = 7*q + 98. What is the tens digit of q?
9
Let k be (1 + 3)/(-4) + 5. Suppose k*h = 32 + 52. Suppose n - 3 = h. What is the tens digit of n?
2
Let a(x) = -311*x**2 - 2*x. Let b(k) = -155*k**2 - k. Let m(u) = -3*a(u) + 5*b(u). What is the units digit of m(-1)?
7
Let w(x) = -35*x + 1. Let d(c) = c**3 + 6*c**2 + 6*c + 6. Let m be d(-5). Let i be w(m). Let r = 100 + i. What is the tens digit of r?
6
Suppose 16*i = 3*h + 19*i - 5511, -5*i - 7348 = -4*h. What is the tens digit of h?
3
Suppose 62 = -l - 4*s, 42 = 3*l - 4*l + s. Let h be 6 + (-1 - (8/4 - -4)). What is the tens digit of (-2 - h)/(2/l)?
2
Suppose 14*c - 8579 = -9*c. What is the tens digit of c?
7
Let f = 23 - 21. Suppose f*v + 3 = 117. What is the units digit of v?
7
Let n be 0 + 3 + -2 - -3. Suppose -2*u + n*u = 60. What is the units digit of 10/u*15*1?
5
Let h = -144 + 259. Let k = h - 69. What is the tens digit of k?
4
Let b(v) = -6*v - 4. Let i be b(4). What is the units digit of 36/21 - 8/i?
2
Suppose 3*t - 10053 = n, -n = 4*n + 15. What is the tens digit of t?
5
Let b = -123 + 198. Suppose -4*k + 9*k = b. Suppose 5*s = -2*j + 34, 0 = 3*j + 3*s - 36 - k. What is the units digit of j?
7
Suppose c - 6 + 0 = 0. Suppose 0 = c*s - 1125 + 219. Let g = -100 + s. What is the units digit of g?
1
Let x = -378 + 606. What is the units digit of x?
8
Let q(y) be the first derivative of y**4/4 - 8*y**3/3 + 2*y**2 - 2*y + 1. Suppose -10*i = -13*i + 24. What is the tens digit of q(i)?
3
Let x(z) = -z**3 + 5*z**2 - 4. Let b be x(4). Let y = b + -11. Suppose u = y - 0. What is the units digit of u?
1
Suppose 6 = 11*s - 8*s. What is the hundreds digit of (1/s + 0)*(-26 + 230)?
1
Suppose -6*c - 5*c + 7084 = 0. What is the tens digit of c?
4
What is the units digit of ((-69)/6 + -2)*(-13 - -11)?
7
Let h(y) = -y**3 - 19*y**2 + 17*y - 22. Suppose 1 = r - 5*p + 13, -p + 156 = -5*r. Let n = 12 + r. What is the tens digit of h(n)?
3
Let j be (8 - 6)*(59 - 0). Suppose -5*g + 482 = -j. Let p = -86 + g. What is the tens digit of p?
3
Let f = 107 - 437. What is the units digit of f/(-44)*(25/3 + -1)?
5
Suppose 2*q + r = 5683, -3*q - 8*r = -11*r - 8511. What is the tens digit of q?
4
Let x(f) = -3*f**2 + 70. Let n(i) = 2*i**2 - 35. Let l(u) = 5*n(u) + 3*x(u). What is the units digit of l(0)?
5
Suppose 5*k + 15 = -5. Let j be 1 + k - (1 - 9). Suppose -j*i + 85 = 15. What is the tens digit of i?
1
Let i(s) = 40*s - 104. What is the tens digit of i(13)?
1
Suppose -14*m + 5950 = -79968. What is the hundreds digit of m?
1
Let i = 2873 + -1786. What is the hundreds digit of i?
0
Let k = 10130 + -6498. What is the tens digit of k?
3
Suppose f - 2*b + 13 = 6*f, 0 = f + 5*b - 21. Let p(g) = 0 - 1 - f - 7*g. What is the units digit of p(-4)?
6
Let b = 103 + -98. What is the units digit of b?
5
Suppose 2 = 2*n - 2. Suppose 2*d = -n*d - 3*m + 828, -3*d + 2*m + 638 = 0. Suppose 55 = -5*r + d. What is the tens digit of r?
3
Suppose -o - 9 = -12. Suppose -o*w + 4 = -311. What is the tens digit of w?
0
Let o(a) = 18*a + 2. Let x be o(-3). Let y = -33 - -35. What is the units digit of y/(-8) + (-1625)/x?
1
Suppose -4*t + 12 = 2*j, 4*t = 4*j - 0*j. Suppose 0 = -5*g + 4*h + 600, 4*g - 449 = -t*h - h. Let c = g + -71. What is the units digit of c?
5
Let s be -1 + -3 - (-3 + -113). Suppose -4*l = -0*l - s. What is the tens digit of l?
2
Suppose 6 = 4*i - 6. Suppose -z + 2 + i = 0. What is the units digit of z?
5
Suppose -2*l - 2 = 7*b - 2*b, 5 = -4*b - 5*l. Suppose 5*c - c - z - 466 = 0, b = -3*c + 3*z + 345. What is the hundreds digit of c?
1
Let d = 125 + -107. Suppose -20 = -4*k - k. Suppose 6*v - d = k*v. What is the units digit of | {
"pile_set_name": "DM Mathematics"
} |
c**(3/5)*c**(-3/25) assuming c is positive.
c**(12/25)
Simplify p**(-5)*p**(2/11) assuming p is positive.
p**(-53/11)
Simplify (n/n**(-2))**(2/15)/(n*n*n**(-1))**(-12/11) assuming n is positive.
n**(82/55)
Simplify (y**(2/19))**1 assuming y is positive.
y**(2/19)
Simplify d**(2/3)*d/d**5*d*d*(d/(d/((d*d**1/d)/d)*d*d))**50 assuming d is positive.
d**(-304/3)
Simplify ((l/(l/(l/(l*l/(l/(((l**(1/2)*l)/l*l*l)/l))))))/l*l)**(1/9) assuming l is positive.
l**(-1/6)
Simplify (y**(-8))**(5/12) assuming y is positive.
y**(-10/3)
Simplify (r/(r**(3/7)/r))/r*r**2*(r*r**0)**(-24) assuming r is positive.
r**(-150/7)
Simplify (((y*y**(-2/7)*y)/y)/y)**(-3)/(y/y**(2/7)*y)**(-6) assuming y is positive.
y**(78/7)
Simplify (z*z**(1/3)*z*z**(2/13))**(3/2) assuming z is positive.
z**(97/26)
Simplify (k*k**4)/k*k*k**(-7)*(k*k/k**(2/5))**45 assuming k is positive.
k**70
Simplify c*c**(3/13)*c**(-2/7) assuming c is positive.
c**(86/91)
Simplify p**(-13)*p*p**(22/3)/p assuming p is positive.
p**(-17/3)
Simplify (n**(2/7)/n**(-1/3))**(-17/6) assuming n is positive.
n**(-221/126)
Simplify (q**(-2/5))**7/((q/q**(-5))/(((q*q/(q/(q*q**(-3)/q))*q)/q*q)/q*q)) assuming q is positive.
q**(-49/5)
Simplify (f**1/f)**(-2/39) assuming f is positive.
1
Simplify c**(-23)*c*c**(-15)*c assuming c is positive.
c**(-36)
Simplify l*l*l*l**(-34)/l*l/(l*l*l**10) assuming l is positive.
l**(-43)
Simplify ((r*r**14)/r)/(r/(r/(r/((r*r/(r/(r**8*r))*r)/r)))) assuming r is positive.
r**23
Simplify ((w*(w*w**(-5)*w*w)/w*w*w)/(w/(((w/((w/w**5)/w)*w)/w)/w)*w))**(-20/11) assuming w is positive.
w**(-60/11)
Simplify ((c*c/(c/(c/c**(-2))))**(-3/16))**(-34) assuming c is positive.
c**(51/2)
Simplify (((w/w**0)/w*w)**4)**5 assuming w is positive.
w**20
Simplify v**(-8)*v/(v/(v/(v/(v/(v/(v*(v*v/v**7)/v*v))*v))))*(v*v**0)**41 assuming v is positive.
v**30
Simplify (m**(2/5))**(-7)/(m/(m**(-3/2)*m)*m**(1/6)) assuming m is positive.
m**(-67/15)
Simplify x**(3/5)*x/(x*x**(4/13))*x*x*x assuming x is positive.
x**(214/65)
Simplify y**35/y**(-11) assuming y is positive.
y**46
Simplify (t**12*t)**(-4/29) assuming t is positive.
t**(-52/29)
Simplify ((l*l**0*l)/l)**(-45)*(l*(l*l**(2/3))/l)**(2/75) assuming l is positive.
l**(-2023/45)
Simplify (u*u**(-2/9))**(1/10)/(u**1*u)**(-9/5) assuming u is positive.
u**(331/90)
Simplify t**(-5)*t**(-3/4)*t**(-7)/t*t*t**5 assuming t is positive.
t**(-31/4)
Simplify (j**(-1/7))**(-3/13) assuming j is positive.
j**(3/91)
Simplify y**(1/3)/y**(-2/9)*y/y**4*y*(y/(y*y*y**(-2/7)*y*y))/y assuming y is positive.
y**(-325/63)
Simplify (n**0)**(1/2)*(n**0)**18 assuming n is positive.
1
Simplify ((u/u**(-8/3))/((u/(u*(u*u/((u/(u*u**6))/u))/u))/u))/(u**(-5)/(u/(u*u**(-1/7)))) assuming u is positive.
u**(374/21)
Simplify (w**(5/3))**(2/89) assuming w is positive.
w**(10/267)
Simplify h*h**(-2/21)*h**(3/5) assuming h is positive.
h**(158/105)
Simplify ((g*(g*g*g**(-1/2))/g*g)/g)**(-50)/((g/(g**3/g))/g**(-4/7)) assuming g is positive.
g**(-522/7)
Simplify (c/c**(1/3)*c)/c*c*c**3*(c**(-2/5)*c)/c**(-2/11) assuming c is positive.
c**(899/165)
Simplify y**(-31)*y/(y*y**(13/2)*y) assuming y is positive.
y**(-77/2)
Simplify (s*s**(-2))**(8/11)/(s**(1/2)/s)**(9/11) assuming s is positive.
s**(-7/22)
Simplify g**(-23)*g**27 assuming g is positive.
g**4
Simplify (n/n**(-8))/n**(3/8) assuming n is positive.
n**(69/8)
Simplify (q*q**(-18)*q)/(q**7*q) assuming q is positive.
q**(-24)
Simplify (k**5*k)/((k*k/(k*k*k**(-3/20)*k))/k*k) assuming k is positive.
k**(137/20)
Simplify ((g**(-2))**(7/6))**(-2/45) assuming g is positive.
g**(14/135)
Simplify (b**(-1/4))**(-30) assuming b is positive.
b**(15/2)
Simplify (c/c**(-1/5))**(-45)/(c**(-2))**(-3/50) assuming c is positive.
c**(-1353/25)
Simplify v**(-3/10)/(v/v**3)*(v**1/v)/v*v/(v**(-4)*v) assuming v is positive.
v**(47/10)
Simplify ((h**(-2/5)/h)/h*h**(-6/11)*h)/(h**(1/8)*h*h/(h**(-2/11)*h)) assuming h is positive.
h**(-1431/440)
Simplify (t/(t/t**(1/4)))/t**(-2/19)*t*t/(t*t/t**7)*t*t**8*t assuming t is positive.
t**(1319/76)
Simplify (n/n**(2/37))/n*n*n/((n**(-3/8)*n)/n*n) assuming n is positive.
n**(391/296)
Simplify ((n*n**(-1/2))/n**(-8))**(-13) assuming n is positive.
n**(-221/2)
Simplify (v*(v/(v/v**10))/v)**(2/87) assuming v is positive.
v**(20/87)
Simplify p**7/(p/(p*(p*p/(p/(p**(2/9)/p))*p)/p))*(p*p**(-2/5))**(-22) assuming p is positive.
p**(-269/45)
Simplify (p**(2/3))**(-48)/(p**1)**(-2/17) assuming p is positive.
p**(-542/17)
Simplify ((z**0/z)/z)**(7/3) assuming z is positive.
z**(-14/3)
Simplify ((x*x**(-2))/x**(2/17))/(x/(x/(x*(x*x*(x**1/x)/x)/x)))**(-14/5) assuming x is positive.
x**(143/85)
Simplify n**(-1/12)/(n/(n/((n/n**(6/7)*n)/n))*n*n*n*n) assuming n is positive.
n**(-355/84)
Simplify (b**7/b)/b*b**(-8)/b*b*(b*(b/((b**(2/5)/b)/b))/b)/b*b*((b**4/b)/b)/b*b assuming b is positive.
b**(8/5)
Simplify (a*a**(-2/7))**(5/4)*a**5/a*a*a**(-1/5) assuming a is positive.
a**(797/140)
Simplify r/(r**(-10)/r)*r**13 assuming r is positive.
r**25
Simplify (a**(1/6)/(a*a/(a*a**(1/17)/a)))**(-2/99) assuming a is positive.
a**(181/5049)
Simplify (d/d**(-1/4))**(-29) assuming d is positive.
d**(-145/4)
Simplify (f*f**(-1)*f)**41 assuming f is positive.
f**41
Simplify (y/(y/(y**(2/7)*y)))**(3/7)/(y**(-5/3)/(y*y**(2/7))) assuming y is positive.
y**(515/147)
Simplify (z/z**9)**(-1/2) assuming z is positive.
z**4
Simplify (s**7)**46 assuming s is positive.
s**322
Simplify (f/f**(2/53))**13 assuming f is positive.
f**(663/53)
Simplify ((a*a**(-27))/a)/(a/a**(-2/17)) assuming a is positive.
a**(-478/17)
Simplify (z**(-2)*z**(-1))**5 assuming z is positive.
z**(-15)
Simplify (v*v/(v/v**29))**(17/4) assuming v is positive.
v**(255/2)
Simplify ((x/(x/(x/(x*x/x**(1/4)*x))))/x**(-3))/((x*x**0)/x*x*(x*x*x/x**3)/x) assuming x is positive.
x**(5/4)
Simplify (c**6*c*c)/(c**5/c)*((c/((c/(c/c**(-1/2)))/c))/c)**43 assuming c is positive.
c**(137/2)
Simplify x/x**(3/8)*x**(2/121) assuming x is positive.
x**(621/968)
Simplify y/(y/(y/(y*y*y**(-30))))*y/y**(2/17) assuming y is positive.
y**(508/17)
Simplify ((m*m/(m*m**(-31))*m*m*m)/m)/(m**15*m*m) assuming m is positive.
m**17
Simplify a**5*a*a**(1/15) assuming a is positive.
a**(91/15)
Simplify (g*g/(g/(g/(g*g**(-1/2)))))**12/((g/g**(1/2)*g)/g**(-1/3)) assuming g is positive.
g**(97/6)
Simplify h**17*h*h/(h/h**(1/13)) assuming h is positive.
h**(235/13)
Simplify (k**(-1)/k)**47*(k/((k*k**(1/4))/k))/(k*k/(k*k**(4/3))) assuming k is positive.
k**(-1115/12)
Simplify (g*g**12)/g**(1/18) assuming g is positive.
g**(233/18)
Simplify b*b**11*b/((b/(b/(b/b**3)))/b) assuming b is positive.
b**16
Simplify ((u*u**(-12)*u)/u)/(u**10/u) assuming u is positive.
u**(-20)
Simplify ((z/(z**(-4)/z)*z)/(z/(z/(z/z**4))))**(-1/41) assuming z is positive.
z**(-10/41)
Simplify (g**(-22)/(g*g**(-1/25)))**25 assuming g is positive.
g**(-574)
Simplify ((u**18/u)/u**(-18/7))**44 assuming u is positive.
u**(6028/7)
Simplify ((k**5/k)/((k/k**(-3)*k)/k))**(-39) assuming k is positive.
1
Simplify (m**(2/15))**(-43/5) assuming m is positive.
m**(-86/75)
Simplify x**(-22/3)*x/x**(-2/7) assuming x is positive.
x**(-127/21)
Simplify (w*w*w**(-2/9)*w)**(-36)*w**(4/9)/(w/w**(2/5)) assuming w is positive.
w**(-4507/45)
Simplify (j**(-2)*j*j*j**(-1)*j)/(((j/j**(-4))/j)/(j/(j*j/j**(-1/7)))) assuming j is positive.
j**(-36/7)
Simplify (c**(-2/5))**(-3/5)/(c**(1/3))**(-22) assuming c is positive.
c**(568/75)
Simplify (a**(1/2))**(-12/5)/(a*a*a**(-1/3)*a*a*a**(1/5)/a) assuming a is positive.
a**(-61/15)
Simplify (t**(2/7))**(-1/11)/((t*t/(t/(t*t/t**(-1/5))))/((((t**(-2/23)/t*t)/t)/t)/t)) assuming t is positive.
t**(-55901/8855)
Simplify ((g**(-8)/g)/g**(-2/11))/((g*g/g**(-2/7)*g*g)/g)**(2/61) assuming g is positive.
g**(-41925/4697)
Simplify (y**(-2/17)*y*y**(-8))**(-6) assuming y is positive.
y**(726/17)
Simplify (k**6*k*k*k)/k*k*k**22/k*k*k assuming k is positive.
k**32
Simplify ((w**1)**(-4/31))**(-5) assuming w is positive.
w**(20/31)
Simplify (w**(-16/9)*w*w)/w*w*w/((w*w**2/w)/w) assuming w is positive.
w**(2/9)
Simplify (h/((h/(h*(h/h**(2/23))/h))/h*h)*h/(h**(3/10)/h))/(((h/(h/h**(-2/21))*h)/h)/h*(h**(-4/5)/h)/h*h*h) assuming h is positive.
h**(4355/966)
Simplify o**(-9)/(((o/(o*o**(-15)))/o)/o) assuming o is positive.
o**(-22)
Simplify ((c**6)**(2/19 | {
"pile_set_name": "DM Mathematics"
} |
, 4*s = -3*g - 3. Suppose -s*x - 7 = -7. Let u = -3.07 - 0.93. What is the nearest to 2/7 in x, u, 16?
x
Let q be (-26)/4 + 6/(12/5). What is the closest to 1.1 in -1, 12, 0, q?
0
Let q = 875.338 + -870. Let x = -0.908 + q. Let y = 0.43 - x. Which is the closest to 0.2? (a) 3 (b) 1 (c) y
b
Let x = -13.2 + 13. Suppose -5*q = 3*a - 7, 3*a + 3*q - 7*q - 16 = 0. Let g be ((-33)/(-44) - 11/a)/8. What is the closest to 0.2 in g, -2/5, x?
x
Let v = -34.2 - 1.8. Let m = 31.2221 + -0.2221. Let o = m + v. What is the closest to 0.3 in o, -0.4, -3?
-0.4
Let y = -0.157 + 43.657. Let m = -43 + y. Let l = 0.043 + 0.057. Which is the nearest to 1? (a) l (b) m (c) 3
b
Let h = -349541 + 249572143/714. Let m = h + 2/119. Let c = -3 + 2.8. What is the closest to c in m, 2, -2?
m
Let v be (((-4)/260)/(64/(-832)))/((-2)/(-10)). What is the closest to v in -1/4, 29, -52/3?
-1/4
Let j = -8562 + 8644. Which is the nearest to -0.1? (a) j (b) -0.3 (c) -3 (d) -3/7
b
Let n = 0.04 - 0.024. Let m = -0.116 + n. Let i = -74 + 73. Which is the closest to -2/5? (a) m (b) i (c) -3/4
a
Let g be (4 - 3)/(0 + 1)*(-42)/(-63). Which is the nearest to 0.1? (a) -5 (b) 2/181 (c) g
b
Let i = 7.7 - 7.746. Let t = i - -1.046. Which is the closest to 0? (a) -0.38 (b) 3 (c) t
a
Let n = -9758.5 - -9758. Let z = -7 - -6. Which is the nearest to -0.1? (a) -2 (b) z (c) n
c
Let s = -23423 + 23780. Which is the nearest to s? (a) -0.4 (b) 4 (c) 0.1
b
Let k = -0.738 - -0.638. Let n = -28 - -27. Which is the closest to 1/5? (a) n (b) -0.4 (c) k
c
Let s(q) be the third derivative of -7*q**4/6 - 191*q**3/6 - q**2 - 75. Let p be s(-7). Which is the closest to -41? (a) -1 (b) p (c) 2 (d) 4
a
Let o(n) = n**2 - 9*n + 13. Suppose 22 = 3*f + 8*f. Let w = 5 + f. Let v be o(w). Which is the closest to v? (a) -4 (b) 2/15 (c) -0.4
c
Suppose -28*h + 52*h + 107*h - 524 = 0. Which is the closest to 2? (a) h (b) -5 (c) 1/5 (d) 0.44
d
Let d = 4.129 - 3.929. What is the closest to d in 0.09, 3, 1, 2?
0.09
Suppose 29*h - 313 = -565 + 339. What is the nearest to 2/29 in -2, h, -5?
-2
Let u = -0.546 + 0.546. Let k = 0.4 - -2. Let h = -3.6 - k. Which is the closest to u? (a) h (b) 0.3 (c) -0.5
b
Let m = 7163 + -7164. Which is the nearest to m? (a) 2/5 (b) 16 (c) -0.1 (d) 2/13
c
Let o be (-8)/(-15)*(49 - 52)*5. Which is the nearest to -2? (a) 3 (b) 0 (c) -0.5 (d) o
c
Let j = 19.585 - 19.585. Which is the closest to j? (a) -2/3 (b) 2 (c) -0.04 (d) 2.8
c
Let x = 884.7 - 883.4. What is the closest to x in -2/3, -4, 0.8?
0.8
Let n = 106.5 + -108. Let t = -0.19 - -0.25. Let a = t - -0.14. What is the closest to -2/5 in a, -3, n?
a
Let z = -15 - -254. Let x = z - 214. Which is the closest to x? (a) -2 (b) 4 (c) 0
b
Suppose -2 = -l, 6*h + 8 = 7*h + 4*l. Which is the nearest to 0? (a) -3 (b) h (c) 39 (d) -0.5
b
Let t = 189 - 189.4. Let x = -0.004 + 0.074. What is the nearest to 1/6 in t, x, -2?
x
Let s(o) = o**3 - 4*o**2 - 126*o + 259. Let n be s(2). Which is the nearest to n? (a) 2/5 (b) -1/21 (c) 4
b
Let h be 0 + -3 + 58/18. Let k(j) = 1444 + 0*j + 5*j**2 - 1447 - 2*j. Let m be k(-1). What is the closest to 3 in -5, h, m?
m
Suppose 2*i - 2*z = 4, 11*z = 2*i + 7*z - 4. Let u = 103/336 + -1/48. What is the closest to 1 in -0.5, u, i?
u
Let n = 16986/1141 + -2380/163. Let d = -0.2 + 0.15. Let v = 1.8 - 2. What is the closest to n in v, 4/7, d?
4/7
Let q = 3.12 + 1.88. Let p = 1 - 0. Let t be (3*p)/(21/(-2)). What is the nearest to 3 in -3, t, q?
q
Let y(n) = -8*n**2 - 55*n - 52. Let w be y(-6). What is the nearest to 1/2 in 41, w, -0.1, 5?
-0.1
Let h = -3140 + 3143. What is the closest to -2/11 in h, 2, 1/8, 1.5?
1/8
Let z = -24.9717 - -13.9717. Let t = 3 + -3.1. Which is the closest to 2? (a) z (b) t (c) 2
c
Let p = 1158 - 1162. Which is the closest to 1? (a) 50/3 (b) -5 (c) p (d) 2/11
d
Suppose 185*f = 31*f + 154. What is the nearest to 0.1 in 0.6, f, 4, 2/7?
2/7
Let j = -31 - -51. Let o = 22.36 - 0.36. Let d = j - o. Which is the closest to 2/7? (a) -1.1 (b) d (c) 2/9
c
Let h be (-195)/30 + 6 + 7/(-2). Which is the closest to 0.1? (a) -13 (b) -2/5 (c) h
b
Let f = 198529/19 + -10449. Which is the nearest to 1? (a) 2/23 (b) 0.1 (c) f
b
Let m be (13 - 2940/216) + -1 + 11/6. Suppose -j - 2*g + 28 = 0, -3*g + g - 32 = -j. Let x = j + -208/7. What is the closest to m in x, 0.4, 4?
x
Let h be (-4)/6 + (-14)/(-3). Let o(g) = 15*g + 3*g**2 - h*g**2 - 13*g + 1. Let j be o(2). Which is the nearest to 0? (a) j (b) -2/13 (c) 0
c
Let t = -9754 - -19867/2. Let s = t - 178. What is the nearest to -1/3 in 0.4, s, 2?
0.4
Let q = -14079 + 84475/6. Which is the nearest to 2/5? (a) -0.06 (b) q (c) 2/11 (d) 0.57
d
Let u = -185.84 + 183.84. What is the nearest to 1/2 in 0.49, u, 5?
0.49
Let k = -3 - -3.3. Let z be (-754)/5 + (-45)/(-75). Let s = z - -150. Which is the closest to 1.3? (a) -2 (b) k (c) s
b
Let x = 1804.6 - 1805. Which is the nearest to 3? (a) 3/2 (b) x (c) -0.5
a
Let p be (-555)/(-2025) - (1507/297 - 5). What is the closest to -29 in 5, 48, p?
p
Let n be (-15)/18*128/(-960). Which is the closest to 98.2? (a) -4 (b) -2/11 (c) 5 (d) n
c
Suppose 2*o - k - 12 = 0, -5*o + k + 3*k = -33. Let f = 0.13 - 0.48. Let b = 0.25 + f. What is the closest to b in o, 0.3, 4?
0.3
Let y be (9*(-8)/(-1386))/((-45)/(-21) - 3). What is the nearest to -2 in y, 0.4, 5?
y
Let a = -32 + 45. Let z = 18 - a. Let s be (-126)/15 + (-6)/10 - (-189)/18. What is the closest to -3 in s, z, 0.4?
0.4
Let u = 428.61 + -9.61. Let z = u + -423. What is the nearest to 0 in z, -0.4, -1/5?
-1/5
Let h(t) = -4*t**3 + 13*t**2 + 13*t. Let k be h(-1). Suppose o + 4*y - 2*y + 7 = 0, -o = -k*y - 23. What is the closest to -1 in 2, o, 0, -0.2?
-0.2
Let d = 2.97 - 536.97. Let l = -530 - d. Which is the nearest to 0.2? (a) -3/2 (b) 2/3 (c) l
b
Let v = 168.1 - 63.9. Let y = v - 104. Suppose -4*m = -4 - 16. Which is the closest to y? (a) m (b) -3 (c) -1
c
Let r = 5 + -4. Let n = 0.02 - 6.02. Let l = -157.4 - -157. Which is the nearest to r? (a) 1/4 (b) n (c) l
a
Let y = 18.6 + -190.9. Let z = 172 + y. Let x be 0 + 0 + (-4)/(-6). Which is the nearest to z? (a) -0.4 (b) x (c) -2/3
a
Let u = 854 + -853.15. Let z = -2.15 - u. What is the closest to -2 in -1/2, -58, z?
z
Let t(c) = -45*c. Let u be t(-1). Let l be u/175 + 7/49. What is the nearest to 3 in l, -2/11, -2?
l
Let z = 14276 - 14278. Which is the closest to 2? (a) z (b) 4 (c) -1 (d) 79
b
Suppose -8*l - 5*y = 47, 3*l + y = 5*y. Which is the nearest to -0.1? (a) -3 (b) -6/19 (c) -19 (d) l
b
Let i = 3468.5 - 3468. Which is the nearest to 37? (a) 2 (b) -4 (c) i
a
Suppose 34 = -40*j + 44 - 330. What is the nearest to j in 0.4, 4, 10?
0.4
Let v = -3.07 - -0.07. Let i = -0.1026 + 3.4026. Let w = i + v. What is the nearest to 1/4 in -4, 0.1, w?
w
Let y = -43.083 + 43.183. What is the nearest to y in -11, 0.3, -0.3, 5?
0.3
Let i = 388 + -777/2. Let y = 0.315 + 0.685. Let n = 0.3 + 4.7. What is the nearest to i in 2/17, n, y?
2/17
Let d be (2 - -2)*1/1. Let l = -759 + 758.9615. Let u = l + -1.9615. Which is the closest to 6? (a) d (b) 0 (c) u
a
Let o = 6435.91 - 6440.91. Let f = -6 + 2. Let x = f + 6. What is the closest to -1/2 in 1/2, x, o?
1/2
Let h be (-14)/(-126) + (-528)/(-108). Which is the nearest to 2/35? (a) 0.1 (b) 2/11 (c) h
a
Let l(h) = -h**2 + 315*h + 53332. Let d be l(437). Let g = 2.05 + -0.05. Let v = -0.3 - -0.5. Which is the nearest to 1? (a) g (b) d (c) v
c
Suppose 6*o = -15*o - 4 - 17. What is the closest to -3 in 2/15, o, -0.5?
o
Suppose -o + 3 = -0. Suppose 2 + 10 = -o*h. Let g be 448/240 + (-1)/5. What is the nearest to -2/3 in -0.4, g, h?
-0.4
Let u = -1592 - -1589. Let a be (2/(-10))/(1/((-25)/20)). Let s = -23/2 + 11. What is the closest to 0.2 in u, a, s?
a
Let i = -0.375 - -10.65. Let q = 10.2 - i. What is the nearest to q in 4, 3/8, 1?
3/8
Let v = -77 + 3. Let y = v + 73.925. Let p = y + 5.075. Which is the closest to -0.3? (a) -0.03 (b) p (c) 0.5
a
Let m = -0.2177 + -3.7823. Let c = 0.1 - 0.4. Let y = -0.3 - c. What is the closest to y in 0.3, m, 0.2?
0.2
Let n = -0.1 - -0.2. Let c = -16236/7 - -2320. What is the nearest to -2 in -3, n, c, -1/4?
-3
Suppose 85*k = 89*k - 8. Let m | {
"pile_set_name": "DM Mathematics"
} |
5, l + 4*a = 3602. Does 199 divide l?
True
Let u(n) = -7*n + 7. Let k(w) = -15*w + 13. Let h(t) = -4*k(t) + 9*u(t). Let q be h(6). Is 22 a factor of (21/9)/q*-66?
True
Suppose -14*h + 26212 = -10*h. Is h a multiple of 110?
False
Let y(z) = 7*z**2 - 100*z - 559. Is y(-7) a multiple of 95?
False
Suppose -19*x = 68*x + 51*x - 1522692. Is 75 a factor of x?
False
Let j = -38 + 28. Let a be 6/j + 1 - (-92)/20. Suppose -a*q + 46 + 279 = 0. Is 13 a factor of q?
True
Let p be -2 - ((-3 - -2) + -1). Suppose -16*y + 11*y + 1965 = p. Is 53 a factor of y?
False
Let h(j) = -3*j**2 + j + 1. Let c be h(1). Let r(y) = -9*y**2 + y + 2. Let f be r(c). Is 4 a factor of (-4 - 46/f)*16?
True
Let h(i) = -2*i**2 + 53*i + 2. Let n(k) = -k**2 + 12*k - 12. Let c be n(6). Does 5 divide h(c)?
False
Let j = 18582 + 2726. Is j a multiple of 28?
True
Let l(u) = 4*u**2 + 12*u + 13. Let h(i) = -11*i**2 - 36*i - 40. Let f(p) = -3*h(p) - 8*l(p). Let w be f(-7). Let k = w - -26. Is k even?
False
Let j = 11596 - 6786. Does 65 divide j?
True
Suppose 33 = -i + 16*y - 12*y, -12 = -4*y. Let k = i + 124. Does 11 divide k?
False
Let v(x) = -3*x**3 - 14*x**2 - 4*x - 15. Let m(h) = -2*h**3 - 47*h**2 - 25*h - 53. Let k be m(-23). Is 23 a factor of v(k)?
False
Suppose 21987 + 18347 = 86*m. Does 11 divide m?
False
Let m(g) = 38*g - 108. Let s be m(7). Suppose z + 1035 = 4*b, -b + 3*z + 87 = -s. Does 20 divide b?
True
Suppose -144*i = 346*i + 7618228 - 27969888. Is i a multiple of 38?
True
Let b(y) = -y**3 - 7*y**3 - 4*y - 1 + 0*y + 6*y**3 - 11*y**2. Does 13 divide b(-8)?
True
Suppose 0 = -11*t + 8*t + 8091. Suppose 4*o - 2156 = 4*u, -t = -5*o + 6*u - 3*u. Does 60 divide o?
True
Suppose 0 = 11*t - 9*t. Suppose t = -5*u + 20, 0 = 3*b - 0*b + 2*u - 185. Let y = b + -17. Does 6 divide y?
True
Let s be (-6)/(-4) + 11/(154/(-1421)). Let f = s + 230. Is f a multiple of 10?
True
Suppose -67*b + 39 = -64*b. Let f(i) = -i**2 + 8*i + 30. Let r(j) = 3*j**2 - 25*j - 90. Let y(p) = -7*f(p) - 2*r(p). Is 13 a factor of y(b)?
False
Let k(r) = 2*r**2 + 10*r + 10. Let f(q) = -4*q + 16. Suppose -3*t = 5*n - 0 + 2, 5*n = t - 26. Let b be f(t). Does 6 divide k(b)?
False
Let s = 10537 + -5667. Is s a multiple of 21?
False
Suppose 5*t + 2076*r = 2077*r + 211381, t = -2*r + 42274. Is t a multiple of 13?
True
Suppose 0 = -5*a + 25, -4*m - 4*a = -2*m + 456. Let t = m + 371. Is 10 a factor of t?
False
Suppose 0 = 5*y - 0*y - 25. Let p(o) = 5*o**3 - 11*o**2 - 8. Does 19 divide p(y)?
True
Suppose -4*s + 3*s = -5*c + 24, 0 = 3*s + 2*c + 4. Let k be (-25)/5 + s - -3. Is 14 a factor of ((-6092)/(-9))/4 - k/(-27)?
False
Suppose -346*g + 347*g = 4*y - 17701, -5 = g. Does 79 divide y?
True
Is 8 a factor of (-1)/((-2)/29738) - (-3)/6*-6?
False
Let l = -2496 + 5952. Is 72 a factor of l?
True
Let k = -26 - -74. Suppose k = 4*g - 8. Is g/70 - (-2)/(20/1198) a multiple of 20?
True
Let g(i) = -2*i**2 + 36*i + 3. Let b be g(18). Suppose 4*q = 20*v - 19*v + 682, 504 = b*q + 3*v. Does 10 divide q?
True
Suppose 132*a = 140*a - 10912. Does 11 divide a?
True
Let f = 8694 - 5204. Does 5 divide f?
True
Let r(l) = -2*l**2 - 10*l + 53. Let n be r(-8). Suppose 4*f - 954 = 4*u + u, 2*f = -4*u + 464. Suppose n*w - f = -16. Is w a multiple of 13?
False
Let b = 100239 + -64741. Is 37 a factor of b?
False
Suppose x = -11*i + 10*i + 12851, -2*x = -i - 25720. Does 48 divide x?
False
Let u = -25 - -23. Let q = u - 0. Is (11/q + 4)*-12 a multiple of 10?
False
Suppose -35*q + 276*q - 220203 - 65382 = 0. Does 3 divide q?
True
Suppose -992*q - 329358 - 28824 = -1003*q. Is q a multiple of 6?
True
Suppose -2*j = -4*b, -21*j - 2 = -24*j + 5*b. Suppose 4*v - 3*v = -p + 277, 3*p = 3*v + 825. Suppose 0 = j*x - 8*x + p. Is x a multiple of 15?
False
Let i = 12755 - 3300. Is i a multiple of 61?
True
Let d be ((-10)/(-4) + -2)/((-11)/(-44)). Let b(l) = -3085*l**d - l**3 - 7*l + 3085*l**2. Does 8 divide b(-3)?
True
Let m be (4/6 + 0)/((-6)/27). Let j be (12/(-4))/(-1) + m. Suppose -8*p + 246 - 22 = j. Is p a multiple of 4?
True
Suppose 2*l - 3152 = -4*h, -24*h + 26*h = -10*l + 1540. Does 6 divide h?
False
Let z be (642/8)/(684/48 - 14). Suppose -19*u + z = -1883. Does 6 divide u?
False
Let f = -4760 - -4826. Is f a multiple of 2?
True
Let u = -24 + 27. Let v(l) = -10*l**3 - 10*l - l - u - 4*l + 11*l. Is 43 a factor of v(-2)?
False
Let v = 25538 - 13754. Is 148 a factor of v?
False
Is (-5 + (-38374)/(-70))*25 a multiple of 140?
True
Let n(c) = c**3 - 18*c**2 + 33*c + 17. Suppose 0 = -40*p + 33*p + 112. Is n(p) a multiple of 17?
False
Let p(m) = 15*m - 95*m + 3 - 42*m. Is p(-2) a multiple of 19?
True
Let j(f) = f - 43. Let m(p) = 44. Let y(l) = -3*j(l) - 2*m(l). Let a be y(12). Suppose -3*k + 311 = -a*b, -5*b + 107 + 142 = 2*k. Does 16 divide k?
True
Suppose -s + 1 = 0, -67 = 2*t + 3*s - 2670. Is 25 a factor of t?
True
Suppose -2*i - z = -2, -z - 17 = i + 4*z. Let f be (i - 0)/((-1)/55). Let j = f + 369. Is j a multiple of 34?
True
Is -14 + 66/6 + (-31083)/(2 - 5) a multiple of 26?
False
Suppose -5*z - 14685 = -v, -3*z + 7885 = -2*v + 37213. Does 27 divide v?
False
Let m be 6*(1053/(-156))/(3/(-32)). Suppose m = -60*a + 66*a. Is 4 a factor of a?
True
Suppose 7*o - 26*o + 66690 = 0. Is 18 a factor of o?
True
Let d be -3 - (-3*27 - -1). Suppose 6*x + d + 505 = 0. Let c = x + 109. Is c a multiple of 4?
True
Suppose -4*n + 5*r = 1062, -2*r - 2*r = n + 276. Let t = 728 + -1156. Let a = n - t. Is a a multiple of 32?
True
Suppose -2*n - p + 39 = -11, p + 118 = 5*n. Suppose 0*z + 4*z = 4*h - n, 0 = -4*h - 2*z + 42. Suppose -h*u = -60 - 903. Is u a multiple of 11?
False
Suppose -141*q + 15 = -136*q. Suppose -q*x = 2*m - 710, 3*x - 1070 = 2*m - 352. Does 14 divide x?
True
Suppose 0 = 128*s - 137*s + 2862. Suppose s*p = 323*p - 700. Does 28 divide p?
True
Let x = -48 + 72. Suppose -5*o + 2*b + 1145 = 0, -4*o + 914 = 18*b - 20*b. Suppose -4*j + n + o = 0, -312 = -5*j + n - x. Is j a multiple of 12?
False
Let t(f) = -f**2 + 53*f + 227. Does 61 divide t(45)?
False
Let v(p) = -56 + 27 - 127 + p**2 - p. Is 6 a factor of v(15)?
True
Let z = 120167 - 50555. Does 50 divide z?
False
Let p be (2 + 3/(-3))*0. Let x be 0 - (10/6)/(-5)*p. Suppose x = -5*r + 28 + 117. Is 29 a factor of r?
True
Suppose 5*n + 40824 = 5*o - 14051, -65844 = -6*o + 5*n. Does 113 divide o?
False
Suppose -37998*x - 976374 = -38025*x. Is x a multiple of 49?
True
Let q be (-21)/7 + 6 + 5893. Suppose -1364 = -20*n + q. Does 11 divide n?
True
Let f(a) = a**3 + 2*a**2 - 15*a - 14. Let s be f(-7). Let t = 815 - s. Is t a multiple of 19?
True
Let y = -5634 + 17198. Does 98 divide y?
True
Let s be (1 - 2) + 3 - (-28 + 25). Suppose 83 - 489 = -4*d + 3*v, -5*d + 490 = s*v. Is d a multiple of 10?
True
Suppose l + 146 = -5*w, -4*l + 2*w = 7*w + 509. Let c = 132 + l. Is 3 a factor of c?
False
Suppose -2*r - 11358 = -6*r + 4866. Is r a multiple of 26?
True
Let c be ((-4)/10)/((-16)/40). Suppose f = -c, 2*l = 4*f - 5 + 19. Suppose 3*r + 3*u = 45, -l*r + 0*r + u + 105 = 0. Is 4 a factor of r?
True
Let m(z) = -48*z**3 - z**2 + 7*z + 2. Let p(d) = -29*d**3 - d**2 + 7*d + 3. Let f(t) = -2*m(t) + 3*p(t). Let n be 3/(-2*(-1)/2). Does 10 divide f(n)?
True
Let l(b) = -b**2 - 5. Let q be l(3). Let f = q - -2. Is 12 a factor of (f/8 - 1 - -2)*-30?
False
Let u(h) = -9*h - 1. Let l(g) = -2*g**3 - 6*g**2 + 11*g + 6. Let a be l(-4). Is u(a) a multiple of 3?
False
Let b(t) = -t**2 + 1. Let l(s) = -8*s**2 - 11*s - 31. Let a(y) = -b(y) - l(y). Let z be a(-5). Suppose 4*r - 211 - 93 = 4*n, -4*n + z = 3*r. Does 18 divide r?
True
Let v = 55492 + -22914. Does 179 divide v?
True
Let h(f) = 71*f + 3609. Is h(-50) a multiple of 13?
False
Let j(y) = 2*y**3 - 3*y**2 - 12*y + 23. Let n be j(4). Suppose 5*d - n*z - 6829 = -53*z, 0 = -d - 4*z + 1357. Is 15 a factor of d?
True
Suppose 2*f - 25 = -91. Let y = -31 - f. Is 141/y - 12/24 a multiple of 14?
True
Let y = 82 - 61. Let c = 23 - y. Suppose 134 - 30 = c*t. Is t a multiple of 13?
True
Suppose 41 = -o + 45. Suppose -o*l + 2*p + 704 = -58, 5*l - 939 = -2*p. Does 9 divide l?
True
Does 12 divide 2620 - (-7 - -4)/6*16?
True
Suppose 3*u + 17 = v, 0 = u - 5*u - 2*v - 6. Let h be u*(-4)/16*3. Suppose -3*a - 12 = 0, -h*a - 41 + 7 = -2*k. Does 5 divide k?
False
Suppose -3*n = 3*s - 4*s - 3729, 3729 = 3*n - 2*s | {
"pile_set_name": "DM Mathematics"
} |
5 for g.
10
Solve -22*o = o - 115 for o.
5
Solve -212*j = -427*j + 1290 for j.
6
Solve -51288*h = -51297*h - 54 for h.
-6
Solve -22*v = -2872 + 2300 for v.
26
Solve -120*r = 95*r - 1505 for r.
7
Solve -326 + 113 = -39*k + 99 for k.
8
Solve 11*f + 61 = -4*f - 14 for f.
-5
Solve 1658 = 529*n - 6277 for n.
15
Solve 0*m = -14*m + 92*m - 1014 for m.
13
Solve 13379*h - 13348*h = 93 for h.
3
Solve 96*f - 134*f - 153*f = 81*f for f.
0
Solve 12*d - 14*d + 6 = 0 for d.
3
Solve -9*v - 1239 + 1194 = 0 for v.
-5
Solve 4*w - 14 = -17 + 27 for w.
6
Solve 897*j - 270*j = 3762 for j.
6
Solve 9309*y - 9291*y = -252 for y.
-14
Solve 0 = -139*p - 2079 - 979 for p.
-22
Solve 6388 = 29*i + 23*i + 7792 for i.
-27
Solve 18*g + 137*g = -2196 - 2144 for g.
-28
Solve 19*t + 215 + 32 = 0 for t.
-13
Solve -6*q + 79 = 11*q - 142 for q.
13
Solve 0 = -128*v + 132 + 1276 for v.
11
Solve 21*d - 94946 = -94967 for d.
-1
Solve -1963*w + 5166 + 7743 = -2795 for w.
8
Solve -8 = -5*r - 8 + 50 for r.
10
Solve -15*a = -5717 + 5567 for a.
10
Solve 247*k = 284*k - 740 for k.
20
Solve -201*f = 613*f + 8140 for f.
-10
Solve 19 = -54*d - 35 for d.
-1
Solve -598*u - 1050 = 452*u for u.
-1
Solve 11244 = -59*u + 9828 for u.
-24
Solve -39*c - 114*c = 0 for c.
0
Solve -69*q - 48*q - 2376 = -9*q for q.
-22
Solve -55 - 64 = -25*t - 19 for t.
4
Solve 472 - 269 + 142 = -23*y for y.
-15
Solve 23*m + 144 - 238 = 205 for m.
13
Solve 0 = 81*m - 234 + 1287 for m.
-13
Solve -108*g + 21*g = 20*g - 642 for g.
6
Solve 0 = -73*n + 946 + 1098 for n.
28
Solve -856 = 28*b - 734 - 598 for b.
17
Solve -28*q + 3531 - 3979 = 0 for q.
-16
Solve -194*h = -217 + 3381 + 1880 for h.
-26
Solve -21905*i + 3536 = -21684*i for i.
16
Solve 46*q - 265 - 53 = 234 for q.
12
Solve -74*q = 292*q + 6222 for q.
-17
Solve 15*s + 138 = 209*s + 526 for s.
-2
Solve -6*n = 67*n + 1382 - 214 for n.
-16
Solve 8092*d + 176 = 8100*d for d.
22
Solve 87*m + 11 - 359 = 0 for m.
4
Solve 122*d - 49*d = -51*d - 1984 for d.
-16
Solve -38*f - 561 = 19*f - 6*f for f.
-11
Solve -226*q + 192 = -53*q - 2057 for q.
13
Solve -50*u = -43*u - 42 for u.
6
Solve 11 - 4 = 41*o - 116 for o.
3
Solve -109*c - 169 = 594 for c.
-7
Solve 615 = -56*s - 359 - 258 for s.
-22
Solve 440*g + 468 + 412 = 0 for g.
-2
Solve -23*r + 34 = -65 - 223 for r.
14
Solve 45477 = -1279*l + 12223 for l.
-26
Solve -267*i - 2847 - 1692 = 0 for i.
-17
Solve 150 = 44*u + 49*u - 18*u for u.
2
Solve -3*j = 12*j - j + 3*j for j.
0
Solve -42*s = 71*s - 1243 for s.
11
Solve -405*o = 154*o for o.
0
Solve 571*m + 318*m = 113*m - 24056 for m.
-31
Solve 442*m + 3792 = 126*m for m.
-12
Solve -2700 = 92*v - 317*v for v.
12
Solve 0 = 29*z - 250 - 17 + 6 for z.
9
Solve -44*n - 1989 = 39*n - 578 for n.
-17
Solve 44981 = -1225*b + 11906 for b.
-27
Solve -18610*h + 609 = -18581*h for h.
21
Solve 6212*f + 570 = 6307*f for f.
6
Solve -2010*i + 207 = -2036*i + 25 for i.
-7
Solve 58*p - 11 = -16 + 5 for p.
0
Solve -p + 51 = 11 + 8 for p.
32
Solve -572 - 736 = -143*a + 34*a for a.
12
Solve 90*i = 110*i - 79 - 1 for i.
4
Solve 57*s + 768 + 371 = -10*s for s.
-17
Solve -331 = 7*o - 373 for o.
6
Solve 1983*i - 40194 = 156*i for i.
22
Solve 0 = 150*x + 440 - 1041 - 2249 for x.
19
Solve 34 = -10*x + 44 for x.
1
Solve -6*w - 151 + 37 = 18 for w.
-22
Solve -46*f - 8017 = -7419 for f.
-13
Solve 0 = 149*z - 482 - 948 + 238 for z.
8
Solve 0 = -27*w - 29*w - 616 for w.
-11
Solve 52*g = -56*g - 4*g - 336 for g.
-3
Solve 23*q + 76 - 71 = -179 for q.
-8
Solve -1131*k + 4 = -1135*k - 28 for k.
-8
Solve -38*r = -252 + 62 for r.
5
Solve -34*l + 53*l = 27*l - 144 for l.
18
Solve 594*f = 1759*f + 46600 for f.
-40
Solve -7643*o = -7630*o + 143 for o.
-11
Solve 63*w - 668 = -104*w for w.
4
Solve -237*c - 465 = -162*c - 106*c for c.
15
Solve 98*x = 83*x - 105 for x.
-7
Solve 135*w + 2906 = -7*w - 1212 for w.
-29
Solve 58 - 57 = 16*k + 49 for k.
-3
Solve 932*s - 7039 - 8586 = -1645 for s.
15
Solve -1066*m - 3462 = 88*m for m.
-3
Solve -758*g = -775*g - 255 for g.
-15
Solve -93*r - 49*r = 128*r + 3510 for r.
-13
Solve -19 - 53 + 50 = -11*o for o.
2
Solve 89*b + 609 + 726 = 0 for b.
-15
Solve 608*y + 1646 - 3031 - 4087 = 0 for y.
9
Solve 64*b - 88*b - 168 = 0 for b.
-7
Solve -702 = 44*c + 34*c for c.
-9
Solve 17*m + 234 - 285 = 0 for m.
3
Solve 15125*d - 15143*d = 36 for d.
-2
Solve -138*i + 214*i + 152 = 0 for i.
-2
Solve 811 = -206*x + 3283 for x.
12
Solve -138 = -i + 2*i - 149 for i.
11
Solve 115 = -23*c + 142 + 134 for c.
7
Solve 1872 = 2852*h - 2930*h for h.
-24
Solve -2684 = -2*p - 120*p for p.
22
Solve 104*a - 1127 = 17 for a.
11
Solve -13*i + 7*i = 9*i + 225 for i.
-15
Solve 39*z + 161 - 223 = 406 for z.
12
Solve -72*g - 3*g - 462 = 2*g for g.
-6
Solve 422 = 15*m + 197 for m.
15
Solve 7946*v + 150 = 7931*v for v.
-10
Solve -40*g - 43*g + 448 = -27*g for g.
8
Solve 0 = 2769*f - 2760*f - 72 for f.
8
Solve 0 = -254*f + 342*f - 1056 for f.
12
Solve 99*h - 363 = 66*h for h.
11
Solve 245*r + 560*r = 14490 for r.
18
Solve 387 = -29*v - 100*v for v.
-3
Solve -1144 = -1685*b + 1542*b for b.
8
Solve 36*x - 6*x - 347 = -47 for x.
10
Solve -259*r + 4168 = 1578 for r.
10
Solve 2577 + 2358 = -987*c for c.
-5
Solve -7*n = 11*n + 3*n + 315 for n.
-15
Solve -178 - 259 = -16*h - 85 for h.
22
Solve 29*x + 37*x = 97*x + 372 for x.
-12
Solve 20*y - 12 - 22 - 106 = 0 for y.
7
Solve 12461 = -9*o + 12425 for o.
-4
Solve -39 - 113 = 38*u for u.
-4
Solve 72 = -20*h + 10*h + 18*h for h.
9
Solve -164*n + 169*n = 12 + 13 for n.
5
Solve 327 - 1095 = -12*b - 20*b for b.
24
Solve -327*b + 256*b = 142 for b.
-2
Solve 52*f = 20*f - 22*f - 1080 for f.
-20
Solve 10735 - 10875 = 10*h for h.
-14
Solve 7139*b - 7135*b = 44 for b.
11
Solve -7*b + 75*b + 612 = 0 for b.
-9
Solve 15*u + 63 - 85 = 83 for u.
7
Solve 964*v + 225 = 1009*v for v.
5
Solve 378 = 1035*w - 993*w for w.
9
Solve 0 = -95*y - 120 + 310 for y.
2
Solve 41*l - 9841 = -10661 for l.
-20
Solve -781 = 852*j - 452*j - 471*j for j.
11
Solve -5928 = 123*o + 124*o for o.
-24
Solve 466 = 14*p + 454 + 194 for p.
-13
Solve -14*d = -209844 + 210208 for d.
-26
Solve 617*f = 73*f - 62*f + 16968 for f.
28
Solve -113*h - 69*h = 165*h - 4858 for h.
14
Solve -5068*h - 540 = -4952*h + 1316 for h.
-16
Solve 37*s - 78 = -22*s + 57*s for s.
39
Solve 94*b - 26*b - 260 = -1008 for b.
-11
Solve -8*c = -3*c + 16*c + 399 for c.
-19
Solve 165*x + 640 - 85 = -600 for x.
-7
Solve -3884 - 88 = 662*c for c.
-6
Solve 13 - 76 = -8*o + 17*o for o.
-7
Solve 20*w + 66*w = -6*w + 1196 for w.
13
Solve 0 = 88*h - 35 - 493 for h.
6
Solve 431*n + 1812 = -343 for n.
-5
Solve 0 = 51*c + 55*c - 362*c - 2304 for c.
-9
Solve -190 + 541 = 841*w - 490 for w.
1
Solve -49 - 1533 = -113*i for i.
14
Solve -58*h = 784*h + 13472 for h.
-16
Solve 464 = 1531*a - 1515*a for a.
29
Solve 0 = -22*j + 325*j + 5757 for j.
-19
Solve -403*q - 769 + 5473 = -11*q for q.
12
Solve 0 = 153*s - 24*s + 1290 for s.
-10
Solve 19*t - 36 = 47*t - 22*t for t.
-6
Solve 0 = 21*p - 746 + 683 for p.
3
Solve -269*t - 604 = -1431 - 518 for t.
5
Solve -5037*a + 1886 = -5119*a for a.
-23
Solve 162*g + 648 = -0 for g.
-4
Solve 26259*n - 26253*n - 31 = -7 for n.
4
Solve 94 = -18*q - 101 + 69 for q.
-7
Solve 567*u + 356*u = -370*u - 49134 for u.
-38
Solve -162*a + 920 = 22*a for a.
5
Solve -9342*i + 9158*i = -2944 for i.
16
Solve -69 + 29 + 85 = 15*w for w.
3
Solve -288*z + 2821 = 229 for z.
9
Solve -101*y + 69 = -436 for y.
5
Solve 364*x = 86*x for x.
0
Solve 1114*s + 226 = 1227*s for s.
2
Solve 68*f + 32*f = -900 for f.
-9
Solve 36 + 83 = -119*u for u.
-1
Solve -140*p - 2223 = -508 + 1085 for p.
-20
Solve 475 - 285 = 27*i - 485 for i.
25
Solve 297*d - 42 = -2418 for d.
-8
Solve -43*b = 48*b - 443 + 1262 for b.
-9
Solve 47*z + 65 = 42*z for z.
-13
Solve -55*q - 98 = -54 + 66 for q.
-2
Solve -3493 = -19*p - 3626 for p.
-7
Solve 88*z + 42 = -750 for z.
-9
Solve 7*k - 19 = 44 for k.
9
Solve -2105 - 1022 = -717*z + 1175 for z.
6
Solve -74 + 15 = 71*r + 83 for r.
-2
Solve 560*j = -4104 + 744 for j.
-6
Solve 184*y - 10256 = -3264 for y.
38
Solve -3102 + 15 - 342 = -381*o for o.
9
Solve 50*w - 124*w + 3667 = 119*w for w.
19
Solve -38*c - 15*c = 845 - 209 for c.
-12
Solve -48*g + 1969 = -146*g - 89 for g.
-21
Solve 275*z = 137*z + 149*z - 154 for z.
14
Solve -78*w = 5567 - 5567 for w.
0
| {
"pile_set_name": "DM Mathematics"
} |
of picking 2 i and 1 v?
6/55
What is prob of picking 1 b and 2 q when three letters picked without replacement from bbqqbqbbbbqbqbbqqqbq?
33/95
Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jmjtjhjk.
1/7
Calculate prob of picking 1 m and 2 h when three letters picked without replacement from {h: 2, t: 6, i: 4, m: 3}.
3/455
Four letters picked without replacement from ccngzizzzizinnccfc. What is prob of picking 1 c, 1 n, 1 z, and 1 i?
5/68
Calculate prob of picking 1 e and 3 r when four letters picked without replacement from {e: 7, r: 4}.
14/165
What is prob of picking 2 x and 1 e when three letters picked without replacement from {x: 12, e: 3}?
198/455
Calculate prob of picking 2 y when two letters picked without replacement from ynntttynt.
1/36
Four letters picked without replacement from {v: 1, r: 2, n: 1, i: 1, b: 3, h: 4}. Give prob of picking 1 v, 1 i, and 2 h.
2/165
Three letters picked without replacement from mammam. Give prob of picking 2 a and 1 m.
1/5
Calculate prob of picking 3 v and 1 l when four letters picked without replacement from vvvvllvv.
4/7
What is prob of picking 1 l and 3 o when four letters picked without replacement from {l: 3, u: 2, o: 15}?
91/323
What is prob of picking 1 v, 2 h, and 1 m when four letters picked without replacement from nmmhhnnnmrxmnrnmvm?
1/510
Three letters picked without replacement from tkofyfyfyo. What is prob of picking 1 f, 1 o, and 1 y?
3/20
What is prob of picking 4 d when four letters picked without replacement from {d: 1, x: 6, m: 4, h: 3}?
0
Two letters picked without replacement from zsrlsrrlzrrlzrzrr. What is prob of picking 2 z?
3/68
Two letters picked without replacement from qexxmqqeimyxe. Give prob of picking 2 x.
1/26
Calculate prob of picking 2 s, 1 l, and 1 f when four letters picked without replacement from ssdaadflfgafgasafga.
1/323
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from vjkgvkjgk.
1/6
What is prob of picking 2 m when two letters picked without replacement from mmmmm?
1
What is prob of picking 1 r and 1 k when two letters picked without replacement from rkkrrkkrkrrk?
6/11
What is prob of picking 2 e when two letters picked without replacement from {e: 2, w: 1}?
1/3
Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {x: 4, v: 3, u: 2}.
1/28
Calculate prob of picking 4 r when four letters picked without replacement from rstrurrtxsrtsrtr.
1/52
Three letters picked without replacement from {x: 2, o: 1, c: 5, a: 5, f: 1, d: 1}. What is prob of picking 1 x and 2 c?
4/91
What is prob of picking 1 k and 1 d when two letters picked without replacement from dkklkdledd?
4/15
Calculate prob of picking 1 b and 2 k when three letters picked without replacement from cpbnpbpbbbpbkcnb.
0
Three letters picked without replacement from {v: 5, g: 9}. What is prob of picking 2 v and 1 g?
45/182
What is prob of picking 1 u and 1 y when two letters picked without replacement from {s: 1, u: 2, w: 1, y: 2, k: 1, r: 1}?
1/7
Calculate prob of picking 3 u when three letters picked without replacement from susouuu.
4/35
Calculate prob of picking 1 n, 1 o, and 1 m when three letters picked without replacement from onmmnommom.
1/4
Four letters picked without replacement from ozzqoqbqqqqqbq. Give prob of picking 1 o, 2 z, and 1 q.
16/1001
Two letters picked without replacement from {g: 2, y: 10}. Give prob of picking 1 y and 1 g.
10/33
Two letters picked without replacement from daatadtdaedkaadddavd. What is prob of picking 1 t and 1 a?
7/95
Three letters picked without replacement from zzbbbbbbzbzzbzbzzzzz. Give prob of picking 1 z and 2 b.
33/95
What is prob of picking 1 s, 2 w, and 1 c when four letters picked without replacement from spsgttcwttwggpssp?
1/595
What is prob of picking 1 u and 3 n when four letters picked without replacement from ununuunuuuuuuuu?
4/455
What is prob of picking 1 b and 1 z when two letters picked without replacement from pzzpbspzspzzpbpzgpzs?
7/95
Calculate prob of picking 1 s and 2 b when three letters picked without replacement from wsjbmrwb.
1/56
Two letters picked without replacement from {x: 6, o: 7, v: 1, k: 6}. Give prob of picking 1 o and 1 v.
7/190
What is prob of picking 1 p and 1 n when two letters picked without replacement from {j: 2, x: 1, n: 1, c: 2, p: 1}?
1/21
Two letters picked without replacement from {t: 2, k: 2, l: 10, e: 3, n: 3}. What is prob of picking 2 n?
3/190
What is prob of picking 1 u and 1 o when two letters picked without replacement from wvuwoo?
2/15
What is prob of picking 3 t when three letters picked without replacement from ttttttth?
5/8
Three letters picked without replacement from ttfffvtfhhvft. Give prob of picking 1 v and 2 t.
6/143
Calculate prob of picking 1 z, 1 i, and 1 m when three letters picked without replacement from osoezozemimzmio.
18/455
Calculate prob of picking 3 a when three letters picked without replacement from {t: 3, p: 2, a: 3, c: 3, k: 8}.
1/969
What is prob of picking 1 n and 2 m when three letters picked without replacement from znmnnnciniccmimccn?
3/136
Two letters picked without replacement from {p: 1, s: 2, d: 1}. What is prob of picking 1 p and 1 d?
1/6
Two letters picked without replacement from {b: 1, v: 3, t: 1}. Give prob of picking 2 v.
3/10
Calculate prob of picking 3 r and 1 c when four letters picked without replacement from bcbccbbrrrbrbbcr.
2/91
Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {s: 1, n: 4, o: 2}.
6/35
What is prob of picking 2 m when two letters picked without replacement from {p: 3, g: 1, m: 7, b: 2, t: 7}?
21/190
What is prob of picking 1 t and 1 n when two letters picked without replacement from {g: 1, t: 8, n: 1, o: 4, w: 3}?
1/17
What is prob of picking 1 n and 1 y when two letters picked without replacement from {g: 2, t: 4, f: 1, k: 1, n: 2, y: 2}?
2/33
What is prob of picking 1 n and 1 g when two letters picked without replacement from vngvvgv?
2/21
Two letters picked without replacement from bxmyyyb. What is prob of picking 2 y?
1/7
Four letters picked without replacement from llhhjlzlllzljjzl. Give prob of picking 2 z and 2 j.
9/1820
Calculate prob of picking 1 l, 2 x, and 1 m when four letters picked without replacement from mluttuoxtolxlt.
3/1001
Three letters picked without replacement from fjttjtffjukjpjjptkt. Give prob of picking 1 k, 1 t, and 1 j.
20/323
Calculate prob of picking 3 q when three letters picked without replacement from mmqqmmqmqqmmqjmqmmmq.
14/285
Two letters picked without replacement from gtftftyqtqffgftf. What is prob of picking 2 f?
1/8
Three letters picked without replacement from {f: 6, x: 4}. Give prob of picking 3 f.
1/6
Two letters picked without replacement from {p: 1, y: 1, a: 3, n: 5, g: 3, d: 1}. What is prob of picking 1 d and 1 y?
1/91
Two letters picked without replacement from {x: 1, v: 2}. What is prob of picking 1 v and 1 x?
2/3
Two letters picked without replacement from ggggg. What is prob of picking 2 g?
1
Two letters picked without replacement from fjupxnnu. What is prob of picking 1 u and 1 n?
1/7
What is prob of picking 2 w and 1 f when three letters picked without replacement from {w: 3, u: 3, f: 1}?
3/35
What is prob of picking 2 o and 1 b when three letters picked without replacement from {b: 2, o: 4}?
3/5
Three letters picked without replacement from qsywhsyccsy. Give prob of picking 2 y and 1 h.
1/55
Calculate prob of picking 3 n when three letters picked without replacement from kknknkffkknk.
1/220
Two letters picked without replacement from ihhqqixqih. What is prob of picking 1 h and 1 i?
1/5
Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 4, p: 2, g: 4, z: 9}.
8/171
Two letters picked without replacement from {c: 2, b: 1}. Give prob of picking 1 b and 1 c.
2/3
Two letters picked without replacement from {n: 2, e: 1, c: 4, l: 1, o: 1}. What is prob of picking 2 n?
1/36
Three letters picked without replacement from inniifn. What is prob of picking 3 i?
1/35
Two letters picked without replacement from gtgg. What is prob of picking 1 t and 1 g?
1/2
Calculate prob of picking 3 t when three letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
fy -3 + sqrt(13) + (1 + sqrt(13)*-2 + sqrt(13))**2 + (sqrt(208) + -1 + 3)**2.
15*sqrt(13) + 223
Simplify (4*(sqrt(88) - (sqrt(88) - -2*sqrt(88))) - sqrt(88))/(sqrt(8) - sqrt(512)*-4).
-3*sqrt(11)/11
Simplify -4*(sqrt(3) + ((sqrt(3) - (sqrt(6)/sqrt(50))**2) + sqrt(3) - sqrt(3))) - (sqrt(54)/sqrt(2)*-2)/sqrt(9).
-6*sqrt(3) + 12/25
Simplify ((sqrt(1584) - (sqrt(1584) - (sqrt(1584)*5 - sqrt(1584))))*4 - -4*5*sqrt(891))**2.
1522224
Simplify ((sqrt(1053) - ((-4*sqrt(1053) + sqrt(1053))*5 - sqrt(1053)))*2 - (sqrt(1053) + 0 + 1 - (sqrt(1053) - -1*sqrt(1053)*4 - sqrt(1053))))**2.
-666*sqrt(13) + 1441558
Simplify 2*(-1*sqrt(66)*3)/(sqrt(486) + sqrt(486)*-2 + sqrt(486) + sqrt(486)).
-2*sqrt(11)/3
Simplify 2*(sqrt(114) - (sqrt(114) + sqrt(114)*-3)*6 - sqrt(114))/(sqrt(6) + 3*sqrt(6)*3)*-3.
-36*sqrt(19)/5
Simplify (1*(-1 + ((sqrt(60) + sqrt(180)/sqrt(3))/sqrt(4) + sqrt(15))/((sqrt(5) - sqrt(45)/(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(5)) + sqrt(5))))**2.
-12*sqrt(3) + 109
Simplify -3 + (sqrt(1700) + (sqrt(1700)*-2 + 4)**2 - sqrt(1700)) + 5*(-1*sqrt(1700) - sqrt(1700)).
-260*sqrt(17) + 6813
Simplify ((sqrt(3500) - (sqrt(3500) + (sqrt(3500) - sqrt(3500)*2*-1))) + sqrt(3500))/((sqrt(660)/(sqrt(11) + sqrt(11)*-2))/sqrt(12)).
20*sqrt(7)
Simplify ((3 + (sqrt(500)*-2*-4 - sqrt(500)) + 1)*5)**2.
14000*sqrt(5) + 612900
Simplify 5*(sqrt(72)/sqrt(16))/(1*sqrt(9)*3)*-3.
-5*sqrt(2)/2
Simplify ((1 + ((sqrt(30) - -1*sqrt(30))*6)/sqrt(10))*-5)**2.
600*sqrt(3) + 10825
Simplify ((sqrt(95) + 3*2*sqrt(95) + sqrt(95) + -1*sqrt(95)*2)/((sqrt(1210)*-3)/sqrt(2)))**2.
76/121
Simplify -5*(sqrt(704)*-1)/(sqrt(48)/sqrt(108))*-5.
-300*sqrt(11)
Simplify (-2*((sqrt(156) - (sqrt(156) - (-1*sqrt(156) + sqrt(156))))*-1 - sqrt(156)))/(sqrt(72)/(sqrt(54)*-2 + sqrt(6))).
-10*sqrt(13)
Simplify (sqrt(66)/(sqrt(6) + 1*sqrt(6)*5 + sqrt(6) + sqrt(6)) + sqrt(132)/(sqrt(12) + 4*sqrt(588) + sqrt(12)))**2.
3971/14400
Simplify sqrt(21)/sqrt(3) + 4 - sqrt(14)/sqrt(2)*-4 - (sqrt(7) + -2 + 0 + (sqrt(7) - (1*sqrt(7) + -5)**2)).
-7*sqrt(7) + 38
Simplify (-3 + -5*(sqrt(5) + -2)*4 + -3)*-3.
-102 + 60*sqrt(5)
Simplify 1*((-2*(sqrt(1100) + -2 + sqrt(1100)))**2 + -4).
-320*sqrt(11) + 17612
Simplify sqrt(88)/(3*sqrt(392)) + sqrt(132)/(sqrt(300)*1 + sqrt(300) + sqrt(300) - sqrt(12)).
5*sqrt(11)/42
Simplify ((sqrt(8) + sqrt(24)/(-1*sqrt(3)))/sqrt(4))**2 - (-3 + sqrt(18) + sqrt(2) + -3*sqrt(18))**2.
-59 - 30*sqrt(2)
Simplify -2 + ((sqrt(2448) + -2 + 3 + sqrt(2448))*-5)**2*-2.
-489652 - 2400*sqrt(17)
Simplify -4*sqrt(352)/sqrt(8) + -3 + sqrt(11)*3*-5.
-23*sqrt(11) - 3
Simplify 2*6*((-1*sqrt(24)/sqrt(2))/((sqrt(120)/sqrt(4))/sqrt(5)))**2*1.
24
Simplify (sqrt(208) + -1 + sqrt(208) + -4)**2*-2 - ((2 + sqrt(208) + 0 + sqrt(208))**2 + (sqrt(208) + 1 + sqrt(208) + sqrt(208) - sqrt(208))*2).
-2552 + 112*sqrt(13)
Simplify 6*(-4*(-2 + sqrt(605))*4)**2*2.
-135168*sqrt(5) + 1870848
Simplify 0 + ((sqrt(52) + 1)*-2 - (sqrt(208) + 5)**2) + -2.
-237 - 44*sqrt(13)
Simplify 6*((sqrt(1700) + 2 + 2 - sqrt(1700)) + -2 + 4).
36
Simplify ((sqrt(2057) + sqrt(2057)*-2*-5)**2 - sqrt(2057)) + (sqrt(2057) + (-1 + sqrt(2057) + sqrt(2057))**2)*1 + 0.
-44*sqrt(17) + 257126
Simplify (-3*(-5*sqrt(1100)*2 + 0 + -2*sqrt(1100) - (2 + (sqrt(1100) - (sqrt(1100) + (-1 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + 2)))))**2.
1980*sqrt(11) + 1197909
Simplify (sqrt(2736)*2 + -2)**2 + sqrt(2736) - ((sqrt(2736) - (2 + -1 + sqrt(2736)))**2 - sqrt(2736)).
-72*sqrt(19) + 10947
Simplify (4*sqrt(135)/sqrt(3)*6)/(-5*(sqrt(324) + (sqrt(324)*-2 + sqrt(324) - sqrt(324) - sqrt(324)) + sqrt(324))).
4*sqrt(5)/5
Simplify ((2 + sqrt(1088))*5 + 3 + -3)*3*5.
150 + 600*sqrt(17)
Simplify (5 + sqrt(891)*-2*-3 + sqrt(891) + sqrt(891)*-2*1 + sqrt(891))**2.
540*sqrt(11) + 32101
Simplify 5*((5*sqrt(1100) + sqrt(11))*4)**2*5.
11444400
Simplify (-5*3*sqrt(117))/((sqrt(360)/sqrt(8) + sqrt(45))/sqrt(5)).
-15*sqrt(13)/2
Simplify 2 + (sqrt(76)/((sqrt(484) + sqrt(484)*3 - sqrt(484)) + sqrt(484) + sqrt(484)))**2*-3.
5993/3025
Simplify ((sqrt(180)*-2)/sqrt(12))/sqrt(5) + 5 + (sqrt(45)/sqrt(3))/sqrt(5).
-sqrt(3) + 5
Simplify 2*((sqrt(98) + sqrt(98)*-5 + 3 - sqrt(98))*-5*6)**2.
-378000*sqrt(2) + 4426200
Simplify -2 + 2 + -4 + -4 + sqrt(475).
-8 + 5*sqrt(19)
Simplify -3 + (-1*(4 + 1 + sqrt(7)) - 4*sqrt(448)*2)**2.
650*sqrt(7) + 29597
Simplify (-5 + (sqrt(17) + 0 - sqrt(17)) + 0 - (-1 + sqrt(833) - (sqrt(272) + sqrt(272) + 1 + sqrt(272))))**2*6.
-180*sqrt(17) + 2604
Simplify ((3 + sqrt(1377) + 5 + 5 + -5)*3)**2.
1296*sqrt(17) + 12969
Simplify ((sqrt(90)/sqrt(2))/sqrt(9) + -5 + ((sqrt(720) + -2)*-1 - sqrt(720))**2)*4.
-380*sqrt(5) + 11516
Simplify (-5 + (sqrt(300) + 2)*6 + -1*sqrt(300)*1)**2.
700*sqrt(3) + 7549
Simplify ((-1 + -4 + (sqrt(1053) + sqrt(1053) + (0 + sqrt(1053) - sqrt(1053)))*6)*1)**2.
-1080*sqrt(13) + 151657
Simplify ((0 + sqrt(112))*-4 + 1 + sqrt(252) + -5)*2 + 3.
-20*sqrt(7) - 5
Simplify (sqrt(3) - (sqrt(48) + -5) - (sqrt(3) + -1)*-4) + 0 + ((-1*sqrt(192))**2 - sqrt(192)).
-7*sqrt(3) + 193
Simplify (sqrt(475) - (sqrt(475) + sqrt(475)*2 + 2)**2) + (2 + sqrt(171) + sqrt(19) + sqrt(19) + 1*sqrt(19) + 3)**2 + -1.
-3571 + 5*sqrt(19)
Simplify (sqrt(171) - (sqrt(171) + 4*sqrt(171)*1))/(sqrt(360)/sqrt(10)).
-2*sqrt(19)
Simplify ((2*sqrt(85)*-1)/(3*(sqrt(5) + sqrt(5) + sqrt(80)))*-5 + 3)**2.
10*sqrt(17)/3 + 1154/81
Simplify 5 + ((-1*(sqrt(204)*2)/sqrt(12))**2 - (5*(sqrt(425) + 0) + sqrt(425))**2) + 1.
-15226
Simplify (sqrt(24)/(-6*2*sqrt(12)))**2 + 3 - 4*(5*5*(sqrt(8)/sqrt(4) - sqrt(2)))**2.
217/72
Simplify -2 + sqrt(34)/sqrt(2) - (sqrt(425)*-1)**2 - (-5*(sqrt(17) - (sqrt(17) + 0) - sqrt(17)) + sqrt(34)/sqrt(2) + 2)**2.
-1043 - 23*sqrt(17)
Simplify ((sqrt(405)*-2 - sqrt(405)) + -5 + 2*(sqrt(45) + 0))**2.
210*sqrt(5) + 2230
Simplify -4*(-2 + sqrt(187)/sqrt(176) + -5 + sqrt(153) + sqrt(51)/sqrt(48)).
-14*sqrt(17) + 28
Simplify (sqrt(76) + sqrt(76)*2*5 - sqrt(76))/sqrt(4) + (4 + (sqrt(19) - 1*sqrt(19)*-4))**2.
50*sqrt(19) + 491
Simplify (sqrt(384) + sqrt(384) + 3*sqrt(384)*2 + sqrt(384))/(sqrt(60)/(sqrt(10)/sqrt(2))).
36*sqrt(2)
Simplify 0 + (5*(-1 + sqrt(1008))*6 - (4*1*sqrt(1008) + sqrt(1008))*-4)**2.
-36000*sqrt(7) + 2520900
Simplify -4 + (-4 + sqrt(117) + 1 + -5 - 2*((sqrt(117) + 0)*-3)**2).
-2118 + 3*sqrt(13)
Simplify (-1 + sqrt(405) + -5)**2 - sqrt(30)/(sqrt(18)/(sqrt(3)*2)).
-110*sqrt(5) + 441
Simplify ((-2*sqrt(6)/sqrt(2))**2 + sqrt(3) - sqrt(30)/(sqrt(10)*-2 + sqrt(10))) + sqrt(24)/(sqrt(1400)/sqrt(7)).
11*sqrt(3)/5 + 12
Simplify ((sqrt(3) + 0)**2 + 2 - ((-2 + sqrt(3))**2 + 3)) + -4.
-9 + 4*sqrt(3)
Simplify ((sqrt(189)*2 - sqrt(21))*3)/(sqrt(49)/(sqrt(21)/sqrt(3)) - (sqrt(7) - sqrt(448)*2)).
15*sqrt(3)/16
Simplify 1 + sqrt(300) - sqrt(3) - (sqrt(3) + 1)*-2 - (sqrt(18)*-2)/sqrt(6)*3.
3 + 17*sqrt(3)
Simplify sqrt(14)/((-1*sqrt(6))/sqrt(3)) + (2 + 1*sqrt(847))**2.
43*sqrt(7) + 851
Simplify -1*(6*(sqrt(684)*-3 + sqrt(684) - sqrt(684))**2 + (-1*sqrt(171))**2*-4).
-36252
Simplify 0 + (5*(-2*sqrt(3) + 3) + (sqrt(27) - (sqrt(81) - -2*sqrt(81))/sqrt(3))/sqrt(9))**2.
-360*sqrt(3) + 657
Simplify 2*((sqrt(330) + (1*sqrt(330) - sqrt(330)))/sqrt(6))/(sqrt(60)/(sqrt(24)/sqrt(2))) + 4.
4 + 2*sqrt(11)
Simplify (sqrt(140)/sqrt(4)*3)/(-4*sqrt(500) + sqrt(5)).
-sqrt(7)/13
Simplify (1*(sqrt(121) - (sqrt(121) + (sqrt(121)*3 - sqrt(121))) - sqrt(121))*-4)/(sqrt(264)/(3*sqrt(6))).
18*sqrt(11)
Simplify (-1*(-1*sqrt(190) - sqrt(190)) + sqrt(190) + -6*(sqrt(190) - sqrt(190)*1))/(sqrt(10) - 1*sqrt(10)*-5 - sqrt(20)/sqrt(2)*-4).
3*sqrt(19)/10
Simplify (sqrt(44)/sqrt(275))/(sqrt(200) + sqrt(200)*-4) + 1.
-sqrt(2)/150 + 1
Simplify -4*((sqrt(98) - sqrt(98)*4) + 5 + (sqrt(98) + (sqrt(98) - (sqrt(98) + 2 - sqrt(98)))*1 + sqrt(98))**2).
-3564 + 420*sqrt(2)
Simplify (sqrt(648)*-3 + sqrt(8))**2 + (sqrt(200) - (sqrt(200) + 2 + sqrt(200) + 3)**2).
-190*sqrt(2) + 4583
Simplify (2 + 2*(sqrt(20) + 2) + sqrt(2420) + 2 + 2)**2.
520*sqrt(5) + 3480
Simplify ((sqrt(52)*-1 - (sqrt(65)*-2)/sqrt(5))*5)**2 + ((-2*sqrt(91) + sqrt(91))*4)/(-1*sqrt(63)).
4*sqrt(13)/3
Simplify ((sqrt(343) + -1*sqrt(343))*-4 - (sqrt(343) + sqrt(343) + 1 + 0 - sqrt(343))**2)*-6 + -4.
84*sqrt(7) + 2060
Simplify (1*sqrt(7260))/(sqrt(1728)*-1 - sqrt(1728))*-6.
11*sqrt(5)/4
Simplify (3*(-2 + sqrt(55)/((sqrt(240)/sqrt(4))/sqrt(12)))*5)**2*-6.
-20250 + 5400*sqrt(1 | {
"pile_set_name": "DM Mathematics"
} |
0.
-1, 0, 1
Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o.
-2*o*(o - 1)
Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2.
-2*b*(b - 1)**2*(b + 1)/9
Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g).
g**2/3
Suppose 2 = 2*z + 8. Let w(k) = -2*k**2 + 4*k + 10. Let c(i) = -2*i**2 + 3*i + 11. Let t(y) = z*w(y) + 2*c(y). What is h in t(h) = 0?
-1, 4
Let y(c) be the second derivative of c**8/3360 + c**7/560 + c**6/240 + c**5/240 + c**3/6 + c. Let q(z) be the second derivative of y(z). Factor q(h).
h*(h + 1)**3/2
Let g(z) be the first derivative of 2*z**5/5 + z**4/4 - 2*z**3/3 - z**2/2 - 6. Factor g(j).
j*(j - 1)*(j + 1)*(2*j + 1)
Factor -27 + 36*a + 3/4*a**3 - 39/4*a**2.
3*(a - 6)**2*(a - 1)/4
Let i be 1/(-3) - (-143)/195. Let g(f) be the first derivative of 0*f**3 + i*f**5 + 0*f**4 + 0*f + 1 + 1/3*f**6 + 0*f**2. Factor g(x).
2*x**4*(x + 1)
Let f(p) = p**2 - p. Let b be f(0). Let k = -38 - -40. Find x, given that -8/5 + b*x + 6/5*x**k + 2/5*x**3 = 0.
-2, 1
Let w(q) = q**4 - 29*q**3 - 31*q**2 + 25*q + 26. Let f(j) = 30*j**3 + 30*j**2 - 25*j - 25. Let r(n) = 4*f(n) + 5*w(n). Factor r(b).
5*(b - 6)*(b - 1)*(b + 1)**2
Let t(u) be the first derivative of u**7/5460 - u**6/2340 - u**5/390 - u**3/3 + 7. Let n(k) be the third derivative of t(k). Suppose n(o) = 0. What is o?
-1, 0, 2
Let i(u) be the third derivative of -u**6/30 + u**4/2 - 4*u**3/3 + 8*u**2. Factor i(k).
-4*(k - 1)**2*(k + 2)
Suppose 0 = 4*d - d + 111. Let n = 113/3 + d. Find t such that 2*t**2 + 2*t + 2/3 + n*t**3 = 0.
-1
Let r(l) = -l**5 + 2*l**3 + 3*l**2 - 4*l - 3. Let g = -7 - -9. Let y(t) = -t**2 + t + 1. Let z(o) = g*r(o) + 6*y(o). Factor z(b).
-2*b*(b - 1)**2*(b + 1)**2
Factor -3/2*q**2 - 3/2*q**5 + 3/2*q**3 + 3/2*q**4 + 0 + 0*q.
-3*q**2*(q - 1)**2*(q + 1)/2
Let q be ((-10)/(-7) - (-24)/42) + 0. Factor -1/8*a**q - 1/8*a + 1/4.
-(a - 1)*(a + 2)/8
Suppose 5*r = -4*j, -3*r - 17 = -5. Let h(f) be the first derivative of 0*f**3 - 3/5*f**j + 0*f**4 + 0*f - 1/2*f**6 + 2 + 0*f**2. Solve h(t) = 0.
-1, 0
Let c(w) be the second derivative of -3*w**4/4 - 10*w**3/3 - 2*w**2 + 3*w. Determine i so that c(i) = 0.
-2, -2/9
What is l in -23/4*l + 5*l**2 + 3/2 = 0?
2/5, 3/4
Let o be 6*1*(0 + (-5)/(-10)). What is p in -1/3*p**o + 2/3 + 0*p**2 + p = 0?
-1, 2
Let f(g) be the first derivative of -g**6/105 + g**5/70 - 3*g - 2. Let u(a) be the first derivative of f(a). Find b such that u(b) = 0.
0, 1
Let a = -2 - -4. Let u(j) = j**3 + 4*j**2 - j - 4. Let i(p) = -p**2 + 1. Let b(q) = -q + 2. Let l be b(1). Let m(v) = a*i(v) + l*u(v). Solve m(x) = 0 for x.
-2, -1, 1
Let g = 4033 - 1451879/360. Let o(u) be the third derivative of g*u**6 + 1/9*u**3 - 1/72*u**4 - u**2 + 0 - 1/90*u**5 + 0*u. Factor o(k).
(k - 2)*(k - 1)*(k + 1)/3
Let o(y) = y**4 + y**3 - y**2 + y. Let v(w) = 9*w**4 + 11*w**3 - 7*w**2 + w - 2. Let p(l) = 6*o(l) - v(l). Factor p(r).
-(r - 1)*(r + 1)**2*(3*r + 2)
Suppose -3*f = -w - 0*w - 8, -f = 5*w - 8. Determine q, given that 2*q**4 + 3*q**4 - 3*q**4 - q**f - 2*q + 3*q**3 - 2*q**2 = 0.
-1, 0, 1
Let k(g) be the third derivative of g**8/1512 - g**7/315 - g**6/270 + g**5/45 + g**4/108 - g**3/9 + 8*g**2. What is f in k(f) = 0?
-1, 1, 3
Let o = 62 + -123/2. Let b(i) be the first derivative of o*i**4 - i**2 - 2 + 4/3*i - 4/9*i**3. Factor b(q).
2*(q - 1)*(q + 1)*(3*q - 2)/3
Let k(n) be the second derivative of -n**6/1440 + n**4/96 - n**3/6 + 2*n. Let o(b) be the second derivative of k(b). Factor o(i).
-(i - 1)*(i + 1)/4
Let m(y) be the second derivative of -y**5/60 + y**2 - 3*y. Let g(v) be the first derivative of m(v). Factor g(a).
-a**2
Let y(j) be the first derivative of 1/210*j**5 - j**2 + 1 + 1/84*j**4 + 0*j**3 + 0*j. Let w(k) be the second derivative of y(k). Determine m so that w(m) = 0.
-1, 0
Let c(m) be the first derivative of -m**5/90 - m**4/18 + 4*m**2 + 6. Let y(d) be the second derivative of c(d). Factor y(a).
-2*a*(a + 2)/3
Let u = -17 + 17. Factor c**4 + u*c**3 + 0*c**3 + 4*c**5 - 4*c**3 + 3*c**4 - 4*c**2.
4*c**2*(c - 1)*(c + 1)**2
Let h(n) be the second derivative of 8*n**7/7 - 124*n**6/45 - 53*n**5/20 + 181*n**4/36 - 8*n**3/3 + 2*n**2/3 + 23*n. Suppose h(j) = 0. Calculate j.
-1, 2/9, 1/4, 2
Let s(m) = -36*m**3 + 45*m**2 + 15*m - 66. Let n(c) = -7*c**3 + 9*c**2 + 3*c - 13. Let p(a) = -21*n(a) + 4*s(a). Factor p(f).
3*(f - 3)*(f - 1)*(f + 1)
Let m be 0 + (3/(-3) - -2). Suppose -2*j - 5*j**2 - j - m + 4*j**2 - 1 = 0. What is j?
-2, -1
Let f be ((-2)/21)/(11/(-33)). Let p(x) be the first derivative of -f*x + 2/7*x**2 - 2/21*x**3 - 1. Find t such that p(t) = 0.
1
Let p = 15 - 12. Factor 0*d**5 + 3*d**2 + 9*d**4 + 0*d**4 + 9*d**p + 0*d**5 + 3*d**5.
3*d**2*(d + 1)**3
Let r(n) = 4*n + 32. Let y be r(-8). Let v(i) be the first derivative of -1/3*i**3 - 5/8*i**4 + y*i + 2 + 0*i**2 - 2/5*i**5 - 1/12*i**6. Factor v(j).
-j**2*(j + 1)**2*(j + 2)/2
Let a(y) be the second derivative of -1/45*y**5 - 2*y + 1/54*y**4 + 0 - 1/9*y**2 + 2/27*y**3. Factor a(v).
-2*(v - 1)*(v + 1)*(2*v - 1)/9
Let j be (-4)/(-3)*(480/66 + -7). Factor -j*r - 10/11*r**2 + 6/11.
-2*(r + 1)*(5*r - 3)/11
Suppose -3*l + 13 = -2. What is f in -4*f**3 + 3*f**3 + l*f - f**3 - 3*f = 0?
-1, 0, 1
Let u = -10 - -8. Let b be (9/(-6) - 0)*u. Suppose 3 + 12*v**2 + 2*v**b + 4*v + 7*v**3 - 3 = 0. Calculate v.
-2/3, 0
Let d = -4/89 + 222/979. Determine y so that 162/11 + 216/11*y + 108/11*y**2 + d*y**4 + 24/11*y**3 = 0.
-3
Suppose -19 = 5*y - 54. What is c in y*c**5 - 71/4*c**4 + 0 - 19/4*c**2 + 1/2*c + 15*c**3 = 0?
0, 1/4, 2/7, 1
Let v be -1 - (2 + -1) - -5. Let w(x) = x**3 - 2*x**2 - x - 4. Let s be w(v). Suppose -2*c + 2*c**2 + s*c**3 - 4*c**4 + 5*c**4 - 3*c**4 = 0. What is c?
-1, 0, 1
Let k(c) be the first derivative of c**6/1080 + c**5/360 - c**4/36 + 2*c**3/3 - 2. Let l(w) be the third derivative of k(w). Let l(g) = 0. Calculate g.
-2, 1
Let a(j) be the second derivative of j**7/420 + j**6/120 - j**4/24 - j**3/12 + j**2 + 3*j. Let m(o) be the first derivative of a(o). Factor m(h).
(h - 1)*(h + 1)**3/2
Suppose g**4 + 1/4*g**5 - 3*g**2 - 1/2*g**3 + 0 + 9/4*g = 0. What is g?
-3, 0, 1
Let v(m) be the first derivative of 3*m**5/25 + 3*m**4/10 - 3*m**2/5 - 3*m/5 + 3. Solve v(q) = 0 for q.
-1, 1
Let z(k) = k. Let c be z(-2). Let n = 0 - c. Solve -2*o**2 + 2*o + 2*o**4 - n*o**3 + 0*o**3 + 0*o**3 = 0.
-1, 0, 1
Let 0 + 0*w - 6/5*w**4 - 6/5*w**3 - 2/5*w**2 - 2/5*w**5 = 0. Calculate w.
-1, 0
Let y = -31 - -22. Let o be (1 + y)*(2 + -3). What is a in 2*a**3 + o*a**4 - 4*a**4 - 6*a**2 - 6*a**2 - 14*a - 4 = 0?
-1, -1/2, 2
Let d = -144 + 2161/15. Let s(r) be the second derivative of -3/50*r**5 + r + 2/15*r**4 + 0 - 2/5*r**2 + d*r**3. Factor s(y).
-2*(y - 1)**2*(3*y + 2)/5
Suppose 0*w = -5*k - 3*w - 4, w = -3. Suppose j - q + 2 = 0, -k + 3 = -5*j + q. Factor 1/4*n**3 - 1/4*n**2 + j - 1/4*n**5 + 0*n + 1/4*n**4.
-n**2*(n - 1)**2*(n + 1)/4
Determine o, given that 0 - 2*o**5 + 4/7*o**3 + 10/7*o**4 + 0*o**2 + 0*o = 0.
-2/7, 0, 1
Suppose 6*j - 3*j - s = 17, -5*j = 3*s - 19. Let o = j + -3. Solve -8*g**4 - 1 - 2*g**5 + 1 - 8*g**o - 12*g**3 + 2*g - 4*g = 0.
-1, 0
Let 3 - 95*y + 92*y + 13*y**2 - 3 - 4*y**3 = 0. What is y?
0, 1/4, 3
Let y(d) be the third derivative of 32*d**6/75 + 16*d**5/15 + 17*d**4/30 + 2*d**3/15 - 3*d**2. Factor y(u).
4*(u + 1)*(8*u + 1)**2/5
Let w(r) = -r**3 + 5*r**2 + 2*r - 6. Let z be w(5). Suppose 2*j + z*a - 20 = 0, -j + 4*a - 16 = -2. Factor 0*q - 2/11*q**3 + 0 - 2/11*q**j.
-2*q**2*(q + 1)/11
Let i(l) be the second derivative of l**8/960 + 5*l**7/756 + l**6/180 - l**5/45 + l**4/3 + 2*l. Let b(p) be the third derivative of i(p). Factor b(h).
(h + 2)*(3*h + 2)*(7*h - 2)/3
Let b(y) = y**3 + 6*y**2 + 9*y + 2. Let x be b(-2). Factor -1/4*j + 1/4*j**5 + 0*j**3 + x - 1/2*j**2 + 1/2*j**4.
j*(j - 1)*(j + 1)**3/4
Let s(w) be the second derivative of 3*w**4/4 - w**3/2 - 3*w**2 + 16*w. Factor s(m).
3*(m - 1)*(3*m + 2)
Suppose 12 - 3 = 3*r. Find h, given that 0*h**3 + h**5 + h - 3 + 3 - 2*h**r = 0.
-1, 0, 1
Factor -2/9*n**2 - 2/9*n + 4/9.
-2*(n - 1)*(n + 2)/9
Let u(k) = 4*k + 4. Let f(g) = -g - 1. Let m(s) = -5*f(s) - u(s). Let l be m(1). Let 8/7*b + 0 + 8/7*b**l + 2/7*b**3 = 0. Calculate b.
-2, 0
Let b = 3211/15 + -214. Let t(p) be the first derivativ | {
"pile_set_name": "DM Mathematics"
} |
erivative of -n**6/360 + 3*n**5/40 - n**4/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6).
-3
Suppose 0 = 2*s + 89 - 93. Let v(q) be the third derivative of 1/2*q**3 + 0 - q**s + 0*q + 1/6*q**4. Calculate v(-2).
-5
Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*y(o). What is u(1)?
-5
Let l = -6 - -8. Let d(t) = 0*t**l - 77*t + t**2 + 69*t - 4. What is d(9)?
5
Suppose 4*m - 140 = -4*w, -3*m - 3*w + 8*w = -73. Let n(z) = m + 20 - 47 - z**2. Suppose 3*b = 4*o, -2*o - 5*b + 23 = -o. Calculate n(o).
-5
Let s(h) be the second derivative of -h**5/20 - h**4/4 + 2*h**3/3 - 5*h**2/2 - 284*h. Calculate s(-5).
25
Suppose 0*i = 3*i. Let v(m) be the second derivative of -1/6*m**3 + 0 + m**2 + 23*m. What is v(i)?
2
Let o(y) = 36*y - 2*y**2 - 1 - 8*y**3 - 2*y**3 + 33*y - 67*y. Give o(1).
-11
Let s(i) = 27*i**3 + 2*i**2 - 1. Let a be s(1). Let q(b) = 26*b + 1 - a*b - 3. Calculate q(2).
-6
Let a(i) = 2*i**3 - i**2 - 2*i - 3. Suppose 6*t = 17 - 29. Give a(t).
-19
Let i(t) = -14*t**2 - t - 1. Let v be (24/(-18))/(3/(-9)). Let g(b) = b**3 - 3*b**2 - 6*b + 7. Let k be g(v). What is i(k)?
-14
Let t(w) = -w**2 - 6*w - 7. Let z(m) be the third derivative of -m**5/60 + m**3/2 - m**2. Let p be z(-3). Determine t(p).
-7
Let o = -3 - 5. Let c(g) = -g**2 - 8*g + 1. Let k be c(o). Let s(b) be the first derivative of b**4 + b**2/2 + 67. Determine s(k).
5
Let f(c) = c**2 + 12*c + 13. Let d(m) be the third derivative of m**5/12 + 61*m**4/24 + 11*m**3 + 2*m**2. Let y(a) = -2*d(a) + 11*f(a). Give y(-8).
-5
Let t(m) = 2 - 1 - 2. Let s(a) = a + 3. Suppose z + 5 = 2. Let q(x) = z*s(x) - 8*t(x). Give q(5).
-16
Let i(w) = 37 - w - 21 - 20. Give i(9).
-13
Let y = 963 - 949. Let j(l) = -l**3 + 14*l**2 - l + 11. Give j(y).
-3
Let v(h) = h**2 - 7*h + 5. Suppose -2*b + 14 = 2*m, 3*m = -b + 5*b - 35. Suppose 5*j - b - 12 = 0. Give v(j).
-7
Let y(h) = h**3 + 2*h**2 - 5*h - 4. Let n be (-5)/(-4) + 54/72. Suppose 5*v + 0 + 12 = 3*i, v + 5 = -n*i. Determine y(v).
2
Let r(y) = 4*y**2 - 2*y - 1. Suppose 64 = 17*z + 30. Give r(z).
11
Suppose 3*x - 11 = -o, -5*o + 2*o = 3*x - 21. Let k(m) = m. Let a = -25 + 24. Let d(g) = -g**2 + 5*g - 2. Let h(p) = a*d(p) - k(p). Calculate h(o).
-3
Suppose -j = -4*j + 2*l - 88, 2*j + 76 = -3*l. Let z = j - -34. Suppose 4*u + z = -6. Let o(r) = 3*r - 2. Give o(u).
-8
Let r(b) = -5*b**2 - 5*b - 4. Let g = -1275 + 1273. Calculate r(g).
-14
Let l(r) = -r**2 + 13*r - 13. Let g(j) = -2*j**3 + 43*j**2 + 24*j - 34. Let k be g(22). Calculate l(k).
17
Let f(p) = p**2 - 9*p - 38*p**2 + 36*p**2. Determine f(-8).
8
Let z(u) = -23*u**3 + 25 - 22 + 22*u**3 - 7*u**2 + 3*u. Give z(-7).
-18
Let n be -1 - ((-38)/14 + 12/(-42)). Let z(l) = 41*l - 85*l + l**n + 43*l + 2. Let i = 1 + -1. Calculate z(i).
2
Suppose -4*a + 35 = u + 1, -a + 4*u = 0. Let v(o) = o**3 - 7*o**2 - 7*o + 10. Determine v(a).
18
Let c = 338 + -333. Let u(x) = -2*x + 6. What is u(c)?
-4
Let n(o) = -3*o + 2. Let j be (2 + -5)*(-30)/9. Let z be (-38)/(-14) + j/35. Suppose z*c + 21 = -3*l, -5*c + 3*c - 3*l = 18. Determine n(c).
11
Let k(b) = b**3 - 4*b**2 - b + 1. Let x = -28 - -31. Calculate k(x).
-11
Suppose -3*l = -15*l + 96. Suppose -l = -16*g - 24. Let p(s) = s**2 - s - 1. Calculate p(g).
1
Let t(n) = -16 + 8 - 40*n + 7. Give t(1).
-41
Let s(j) be the first derivative of -5*j**2/2 - 3*j - 94. Determine s(-4).
17
Let h(a) = 8*a + 50. Let b be h(-6). Let c(t) = -4*t**2 + 3*t - 2. Give c(b).
-12
Let k(c) = 0*c - c**2 - 2648 + 2650 + 6*c + 0*c. What is k(9)?
-25
Let y(x) = -x**3 - 6. Let v = -9 + -4. Let o be -4 + 2 + (v - 4). Let q = 19 + o. What is y(q)?
-6
Let b be -9*2*(-6)/36. Let p(i) = -2*i**2 - 5*i + 4. Determine p(b).
-29
Let l(o) be the second derivative of -o**4/12 + 7*o**3/3 - 11*o**2 - 22*o. Let u be l(12). Let m(h) = 7*h + 1. Calculate m(u).
15
Let q be (-8 - -7)/((-1)/3). Let y(z) = q*z + 3*z + 7 - 7*z. Let b(c) = -1. Let o(m) = -6*b(m) - y(m). Give o(-5).
-6
Let v(b) = -b**2 + 7*b + 17. Suppose -343*k - 117 = -356*k. Give v(k).
-1
Let m(f) = f**2 - 10*f - 14. Let x be m(11). Let n be (0 - -1) + x + 4. Let s(u) = u**2 - u - 1. Calculate s(n).
1
Let n(g) = -3*g - 5. Let d(l) = -8*l - 267. Let r be d(-32). What is n(r)?
28
Suppose 32 = 4*a - 2*a. Let d(h) = -h - a + 34 - 21 + 4*h. Let u(n) = -2*n - 1. Let r be u(1). Determine d(r).
-12
Let r(b) = -2*b**2 - 4*b - 2. Let s be r(-2). Let t be 12/s*(-8 + 9). Let a(z) = -11. Let x(w) = -w + 56. Let q(i) = 11*a(i) + 2*x(i). What is q(t)?
3
Suppose -r - 6 = -2*r. Suppose 4*z - 4 = -3*t + 1, 3*z + 3*t = r. Let n(v) = 10*v**2 - 68 + 69 - v**2. Give n(z).
10
Suppose -s - 1 = -2, x = 2*s - 7. Let o(a) = -a - 26. Calculate o(x).
-21
Let f(c) be the first derivative of c**3/3 - c - 2. Let r = -21 + 37. Let a = -17 + r. Determine f(a).
0
Let z(g) be the third derivative of 11*g**5/60 - 5*g**4/6 - 7*g**3/2 - 20*g**2. Let n(i) = -4*i**2 + 7*i + 7. Let l(d) = -8*n(d) - 3*z(d). Give l(7).
-14
Let m(h) = h**3 + 4*h**2 + 3*h + 1. Let a be m(-2). Let k = -20 + 23. Let d(y) = -y**3 + 3*y**2 + 0*y**k + y - 2*y - 21 + 23. Give d(a).
-1
Let m(h) be the second derivative of -h**5/20 + h**4/2 - 7*h**3/6 + 11*h**2/2 + 29*h. Let k be m(5). Let f(x) = -12*x. Determine f(k).
-12
Let v = 19 - 12. Let y(s) = -4*s**2 - s**3 - s**3 - 2 + v*s**2 + s. Suppose 3*a - 9*a + 5*t + 32 = 0, 2*t + 8 = 0. Determine y(a).
-4
Let b be 1/2*(7 - 232/8). Let k(u) = -u**3 - 10*u**2 + 8*u - 12. Give k(b).
21
Let w(i) = i**3 - 1. Let u be w(0). Let k(x) = -11*x**2 - x**3 + 9*x**2 - x**3 + 4*x**2 + 2*x + 1. What is k(u)?
3
Let d(q) = -27*q + 212. Let w be d(8). Let o(z) = z**3 + 4*z**2 + 3*z + 6. Give o(w).
-6
Let v(s) = -4853*s**2 - 4*s - s**3 + 4866*s**2 - 6 - 7*s. Calculate v(12).
6
Let w(k) = -k**3 - 5*k**2 + 5*k - 6. Let z be 2*(-1 + 2) - 3. Let a be z*(-1 + -1) + 4. Suppose -o = -2*o - a. Give w(o).
0
Let j(q) = 6*q - 41. Let f be j(8). Let x(r) = -r + 0 + 8 + 1 - f. Give x(8).
-6
Let k(q) = q**3 + 8*q**2 - 10*q. Suppose -39 = 4*j + w, -2*j - 33 = -2*w + 7*w. Determine k(j).
9
Let k(v) be the second derivative of 3*v**5/20 + v**4/12 + v**3/6 + v**2/2 - 14*v. Let x be k(-1). Let n(y) = y**2 + y**2 - y**2 + 2*y. What is n(x)?
0
Let d be 14/28*(-3 - 1) - -4. Let g(h) = -3*h**2 + 5*h - 4. Let a be g(d). Let p(k) = -2*k + 5. What is p(a)?
17
Let p be (9/(-6))/(15/20). Let h be (1/p)/((-4)/48). Let y(n) = 7*n + 1. Let s(x) = x. Let j(w) = h*s(w) - y(w). Calculate j(-3).
2
Suppose 0 = 2*o + 2*o. Let r(m) = m - 2 + 1 + o*m + 2. Calculate r(5).
6
Suppose -u = -2 - 3. Let a(d) = -d**3 + 6*d**2 - 6*d - 2. Let o be a(u). Let w(k) = 3*k + 8. Determine w(o).
-13
Suppose -2*k - k + 12 = 0. Let n be (0/1 - 1)*-7. Let s(q) = 4*q - 17. Let b(o) = 2*o - 9. Let g(f) = n*b(f) - 4*s(f). Give g(k).
-3
Let o(z) = -z**3 - 10*z**2 - 29*z - 1. Let x(u) = -u**3 - 11*u**2 - 26*u - 1. Let n(s) = 4*o(s) - 5*x(s). Give n(-14).
1
Let p(q) = -q**3 - 7*q**2 + q + 20. Let j(u) = -3*u**3 - 20*u**2 + 4*u + 59. Let z(h) = -3*j(h) + 8*p(h). Give z(-4).
-1
Let l(q) = 2*q**2 + q. Suppose 3*y + 19 = -4*x, 135*y = 139*y + 20. Give l(x).
1
Let a(d) be the first derivative of -11*d**2/2 - 1. Suppose k = -k. Suppose u - 1 + 0 = k. Calculate a(u).
-11
Let l(v) = -v - 2*v + 21 - 16 + 6*v. Let d(w) be the first derivative of 5*w**2 + 16*w + 1. Let n(g) = 2*d(g) - 7*l(g). Calculate n(0).
-3
Suppose 0 = -h + 2*b - 3*b + 5, 0 = h + 3*b + 5. Suppose -5*z - 115 = h. Let m = z + 19. Let w(j) = j**3 + 6*j**2 + 6. Calculate w(m).
6
Let u(k) = -k - 1. Let r(s) = s - 5. Let w be r(4). Let v(q) = -4*q - 12. Let y(p) = 2*p**2 - 9*p + 10. Let a be y(4). Let o(n) = a*u(n) + w*v(n). Give o(4).
-2
Suppose -4*v = -0*v - 12. Suppose 6*r = v*r + 6. Let y(k) = -3*k**2 + 0*k**r + k**3 + 6 - 8. Give y(3).
-2
Let c(q) = -17*q**2 + 34*q + 3. Let o(g) = -12*g**2 + 23*g + 2. Let l(k) = 5*c(k) - 7*o(k). Give l(10).
-9
Suppose -16*o - 34 = 3*u - 15*o, -2*o - 24 = 2*u. Let p(f) = 2*f**2 + 21*f - 18. Give p(u).
-7
Let h(z) = 10 - 4 + 9 - 11*z + z**2. Let t be h(11). Suppose u - 5*d + 2 = -1, -2*d = -5*u - t. Let c(m) = -2*m + 3. Give c(u).
9
Let a(j) = j**3. Let u be ((42/(-7))/(-6))/((-1)/11). Let p be (-20)/u + (-12)/(-66). Determine a(p).
8
Let f(h) = -h**3 + h**2 - h. Let b(o) = o**2 + 3*o - 3. Let u(t) = -b(t) - | {
"pile_set_name": "DM Mathematics"
} |
*j**2*s - 357*j**2 + s wrt j?
-6*a**3*s - 5120*s - 714
What is the third derivative of 12129512*l*s**4 + 732562*l*s**2 - 3*s**2 wrt s?
291108288*l*s
Find the first derivative of 2*a**2*j**2 - 52454*a**2 - 371143*a*j**2 + a*j - 20*a + j wrt j.
4*a**2*j - 742286*a*j + a + 1
What is the third derivative of 238758*w**3*y**3 - 74*w**3*y**2 + 55*w**2*y**2 - 3*w**2*y + 2*w*y**3 + w*y**2 - y**2 wrt y?
1432548*w**3 + 12*w
Find the third derivative of -257*v**4 - 189648*v**3 - 749081311*v**2 wrt v.
-6168*v - 1137888
What is the second derivative of -9785*j**4 - 751*j**3 - 14449703*j?
-117420*j**2 - 4506*j
What is the second derivative of 6299501*h**3 - 201946506*h wrt h?
37797006*h
What is the second derivative of 1153339249*z**3 - 648410807*z wrt z?
6920035494*z
What is the third derivative of 845576440*c**3*k + 278*c**2 - 180*c*k + 2*c + 31*k - 3 wrt c?
5073458640*k
What is the second derivative of -39135*j**2*y**2 + j**2*y - 25*j**2 + 76*j*y**4 + 236*j*y + 29*j + 5 wrt y?
-78270*j**2 + 912*j*y**2
What is the second derivative of 50898976*b**4 + 2*b**2 - 562355310*b?
610787712*b**2 + 4
Find the second derivative of -31335*q**4 - 11222*q**3 - 6098814*q + 27.
-376020*q**2 - 67332*q
What is the second derivative of 238424*d**5 + 47*d**2 - 6208808*d wrt d?
4768480*d**3 + 94
Find the first derivative of -79230811*z**2 - 464379137 wrt z.
-158461622*z
Differentiate 2*j**3*y - 64727971*j**3 - 4865948*j**2*y**2 with respect to y.
2*j**3 - 9731896*j**2*y
Differentiate 4447015*o - 1209284 with respect to o.
4447015
Differentiate 195036835*n - 107877282 wrt n.
195036835
Find the second derivative of -80696*q**2*v**2*y**2 + 521*q**2*y**2 - q**2*y - 51*q*v + 391*v**2*y + v*y + 59*y wrt y.
-161392*q**2*v**2 + 1042*q**2
What is the second derivative of 3*x**4 + 86*x**3 + 10505*x**2 + 2895422*x + 2?
36*x**2 + 516*x + 21010
Differentiate -13*d*h*v**2 - 760050*d*h - 2430*h*v**2 + 6*h + 3*v**2 - 2*v + 3 wrt d.
-13*h*v**2 - 760050*h
What is the first derivative of -68191733*t**2 + 107383883 wrt t?
-136383466*t
What is the first derivative of -22*l**3 + 610774*l**2 - l - 172119487?
-66*l**2 + 1221548*l - 1
What is the third derivative of -24698140*c**5 - 2*c**2 - c + 65822?
-1481888400*c**2
Find the third derivative of 11243757*q**3*y - 465*q**2*y + 4780*q**2 wrt q.
67462542*y
Find the third derivative of 2629883*l**5 + 10*l**4 + l**2 + l + 16382188 wrt l.
157792980*l**2 + 240*l
What is the third derivative of -186244783*n**3*s**2 + 2*n**3*s - 9*n**2*s**2 - 7*n**2*s - 14*n*s**2 - 62042*n wrt n?
-1117468698*s**2 + 12*s
Find the first derivative of -19953*l**2*s + 38*l**2 - 5*l*s - 2*l + s + 5973114 wrt l.
-39906*l*s + 76*l - 5*s - 2
What is the first derivative of -1863*n**2 - 96538*n + 816631652 wrt n?
-3726*n - 96538
Differentiate 2297288*n**3 - 2979728.
6891864*n**2
What is the third derivative of n**5 + 42105238*n**4 + n**3 + 5*n**2 - 14289*n + 5?
60*n**2 + 1010525712*n + 6
Differentiate -13856*z**3 + 4*z**2 + 50*z + 915314.
-41568*z**2 + 8*z + 50
Find the second derivative of -6387688*j**3 + 4591587*j.
-38326128*j
What is the derivative of -4693*f**4 - f**2 - 46*f + 4273251 wrt f?
-18772*f**3 - 2*f - 46
What is the second derivative of 61480*p**4 - 97675618*p?
737760*p**2
What is the third derivative of -d**2*o**3 + 3369813*d**2 - 1029*d*o**3 + 14*d*o**2 + 10472*o**3 wrt o?
-6*d**2 - 6174*d + 62832
Find the first derivative of 5*k**3 - 10*k**2 - 2727*k + 38501954.
15*k**2 - 20*k - 2727
Find the second derivative of 7314003*c**2 + 11521494*c.
14628006
Find the first derivative of -41*j**2*y - j**2 + 327*j*y**2 + 6*j + 2*y**2 + 89208036 wrt j.
-82*j*y - 2*j + 327*y**2 + 6
Differentiate -1476*c*l**3 + 52*c*l*q + 1284*l**3*q - 990*q with respect to c.
-1476*l**3 + 52*l*q
Find the second derivative of -26582345*c**2 + 85652722*c wrt c.
-53164690
Differentiate -7999217*j**2 + 2*j + 138506509 wrt j.
-15998434*j + 2
Find the second derivative of -13343*m**3*o - m**3 + 9*m**2 + 73*m*o - 19*m - o - 120 wrt m.
-80058*m*o - 6*m + 18
Find the second derivative of 24864095*l**2 + 91346181*l wrt l.
49728190
Find the third derivative of -56893*i**3*x**3 + 143862*i**3*x**2 - 1500*i*x**3 + 4*i*x**2 - 5*i*x wrt x.
-341358*i**3 - 9000*i
Find the second derivative of 192*d**2*y**3 + 146870*d**2*y - d*y**3 + 15*d*y**2 - 1145*d*y - 123*y**3 - 2*y wrt d.
384*y**3 + 293740*y
Find the second derivative of -723210*m*t**2*y + 3*m*t**2 + 690*m*t*y**2 + 5777*m*t*y + 5*t**2*y**2 - t*y wrt t.
-1446420*m*y + 6*m + 10*y**2
What is the derivative of -32576*v**3 + 170*v - 14007453 wrt v?
-97728*v**2 + 170
What is the third derivative of -25*o**3*p**3 + o**3*p**2 + 595*o**3 + o**2*p**3 + 158*o**2*p**2 + 56*o**2*p + o*p**2 - 115*p**3 wrt o?
-150*p**3 + 6*p**2 + 3570
Find the first derivative of -13014959*z**2 - 10151689 wrt z.
-26029918*z
What is the first derivative of s**3 + 41*s**2 + 6769*s - 387048314?
3*s**2 + 82*s + 6769
Find the third derivative of -80423*s**3*u**2 + 36*s**3 - 41*s**2*u**2 + 8836*s**2 + s*u**2 + 11*u - 1 wrt s.
-482538*u**2 + 216
Find the first derivative of 7806755*a**4 - 17124700.
31227020*a**3
What is the second derivative of f**5 + 23604*f**3 - f**2 - 83*f + 40295 wrt f?
20*f**3 + 141624*f - 2
Find the second derivative of 553279479*n**2 + 11566619*n + 6.
1106558958
Differentiate -1116337825*h**4 + 709826348 with respect to h.
-4465351300*h**3
What is the first derivative of -5662071*y - 10038146?
-5662071
Find the third derivative of 5533472*f**3 + f**2 + 3567855.
33200832
Find the first derivative of 1486*v**2 + 3798*v - 31109060 wrt v.
2972*v + 3798
Differentiate 17*h*t - 1099286*h + 48198*t - 1672 with respect to h.
17*t - 1099286
What is the second derivative of -14141*h*i*z**2 + 11*h*i*z + 356*h*z**2 + 4*h - 2*i*z**2 - 1197*i*z + 3*z wrt z?
-28282*h*i + 712*h - 4*i
Find the second derivative of 13874738*l**2 - 22874*l - 114.
27749476
What is the second derivative of 128799663*j**2*o**2 + 149*j**2*o - 452*j**2 - 2*j*o + 2*j - 1 wrt o?
257599326*j**2
What is the second derivative of 242*v**4 - 10*v**3 - 207*v**2 - 9349554*v?
2904*v**2 - 60*v - 414
Find the third derivative of 546*b**5 + b**4 + 246*b**3 + 1848099*b**2.
32760*b**2 + 24*b + 1476
What is the second derivative of -2*j**3*m**2 - 4*j**3*m - 13*j**3 - 88*j**2*m + 7*j - 710251*m**2 - m wrt m?
-4*j**3 - 1420502
What is the third derivative of -8333469*h**3*j**6 - 2*h**3*j**2 + 4*h**3 - h**2*j - 7831*h**2 wrt j?
-1000016280*h**3*j**3
What is the second derivative of -20*c**3 + 15138965*c**2 - 20639728*c + 18 wrt c?
-120*c + 30277930
Differentiate 91365906*h*x**2 - 16569610*x**2 with respect to h.
91365906*x**2
Find the second derivative of 5049248*c**2 - 58790*c + 10 wrt c.
10098496
What is the third derivative of 3427438*m**5 + 2*m**3 - 11810512*m**2?
205646280*m**2 + 12
What is the third derivative of -500148*q**2*w**3 - 22*q**2*w + 2*q*w**2 - 38*q - 333*w**5 - 6621*w**2 wrt w?
-3000888*q**2 - 19980*w**2
Find the third derivative of 25025095*p**3 - 28684101*p**2 + 2*p.
150150570
Find the second derivative of -188900709*r**2*v - 528234*r*v - 51*r wrt r.
-377801418*v
What is the derivative of -38190778*c*u**2 + 2*c + 5794640 wrt u?
-76381556*c*u
Differentiate 25*i**4*j**2 + 775465*i*j**2 - 130105021*j**2 with respect to i.
100*i**3*j**2 + 775465*j**2
Find the second derivative of 22144*k**5*m - 524*k**3*m - 22*k*m - m - 756 wrt k.
442880*k**3*m - 3144*k*m
What is the third derivative of 248*w**6 + 317*w**5 + 2*w**4 - 2289443*w**2 - 4?
29760*w**3 + 19020*w**2 + 48*w
Find the first derivative of 2*o**3 + 3*o**2 - 3277948*o + 74543552 wrt o.
6*o**2 + 6*o - 3277948
What is the second derivative of -33864891*p**5 - 6*p**2*r - 49*p*r + 610*p + 666*r wrt p?
-677297820*p**3 - 12*r
What is the derivative of -1081*y**2 + 1229*y + 68202160 wrt y?
-2162*y + 1229
Find the third derivative of 11*m**2*p**3 - 15*m**2*p**2*v**2 + 15*m**2*p*v**2 + 2489420*m**2*v**3 + m*p**3*v**2 + 23*p**3*v**3 - 4*p**3*v**2 + 33*v wrt v.
14936520*m**2 + 138*p**3
Find the second derivative of 5970758*p**4 + 1520*p - 94.
71649096*p**2
What is the third derivative of 370*k**6 - 8968*k**3 - 6963179*k**2 wrt k?
44400*k**3 - 53808
Find the first derivative of -289013938*n**3*w + 20029*n**3 + 385*n - 1 wrt w.
-289013938*n**3
Differentiate -502*o**4 + 129* | {
"pile_set_name": "DM Mathematics"
} |
18 + 818*p**3 + 825*p**3 - 1642*p**3 as f*p + q + o*p**2 + t*p**3 and give q.
-18
Rearrange 5*n + 3 - 3 + 2 - 2 - 2*n + 2*n - n + n + (-2 + 0 + 0)*(-2 + 2 - n) - n + 1 - 1 - 40*n + 2 + 11*n - 19*n to the form d*n + l and give d.
-42
Rearrange (0 + 0 - 2)*(7*t + 6*t**2 - t**2 - 9*t) to g*t**2 + b*t + r and give b.
4
Rearrange 73 + 70 + 77 - 1417*r - 220 to u + d*r and give d.
-1417
Express -3*r**2 + 0*r**2 + 2*r**2 + (-60*r - 93 + 93)*(r - r - 2*r) as o*r**2 + v*r + g and give g.
0
Rearrange -57*i**2 + 0 - 3 + 60*i**2 - i - 2*i**3 to f*i**2 + d + v*i + q*i**3 and give d.
-3
Rearrange -955 - 938 + 1893 - 2*t + 102*t**2 to the form w*t + h*t**2 + o and give w.
-2
Rearrange (0 + 1 - 7)*(5 + 1 - 4)*(2*w + 3*w - 4*w)*(-5*w + 6*w + 0*w) + 221*w**2 - 110*w**2 - 130*w**2 to s + y*w + o*w**2 and give o.
-31
Express -1 + 2*h + 6 + 1 + (-9 - 7 + 7)*(3*h - 5*h + h) in the form q*h + y and give y.
6
Express 9*o**3 + 10*o**3 + 16*o - 14*o**3 + (4*o**2 + o**2 - 3*o**2)*(0 - o + 0) as q + j*o**2 + f*o + m*o**3 and give f.
16
Rearrange (-3 + 4 + 1)*(-50*m + 575*m - 200*m - 1 + 3) to z*m + i and give z.
650
Rearrange 491*g + 60449 - 60449 to o + h*g and give h.
491
Express -46 + 7*o + 46 + (-o + 0*o + 7*o + (-4*o + 2*o + 3*o)*(-3 - 3 + 5))*(1 + 4 - 4)*(0 - 4 + 3) as d*o + w and give d.
2
Rearrange (9 - 4*c - 9)*(-3 - 4 + 5) + 2*c - 4*c + 0*c - 6*c - 5*c + 4*c to x*c + q and give x.
-1
Rearrange (2 - 1 - 3)*(1 + 5 - 5)*(-a + 2*a**2 + a) + (0*a - 8*a + 0*a)*(-3*a - a + 6*a) to the form z*a**2 + h*a + n and give z.
-20
Express (4*r**2 - r**2 - 5*r**2)*(21 + 19 - 25) + 10*r**2 - 2*r**2 + 0*r**2 as p*r + q + h*r**2 and give q.
0
Express (129*t - 737*t - 470*t)*(2*t**2 - 4*t + 4*t) in the form u + a*t**3 + o*t**2 + c*t and give u.
0
Rearrange -3 + 2 - 546*y + 1 + 77*y to the form t*y + x and give t.
-469
Rearrange (2 + 1305*n + 100*n**2 - 1305*n)*(n - 4*n + 2*n + (-5*n + 0*n + 4*n)*(2 + 0 - 1))*(1 - 4 - 2) to the form d*n + w*n**2 + p + l*n**3 and give p.
0
Express (-112*r + 112*r - 4*r**2)*(-11*r - 16*r**2 + 3*r**2 - 5107 + 5105) as k*r**4 + y*r**2 + d*r**3 + q + h*r and give d.
44
Rearrange -w**2 - w**3 - 4*w**3 - w**2 - 2 + 2*w**2 to r*w**3 + l*w + y*w**2 + n and give n.
-2
Rearrange 365*w**4 + 43*w**3 + w**2 - 3 + 5 - 363*w**4 to the form q*w**3 + y + a*w**2 + d*w + k*w**4 and give y.
2
Rearrange -v + 2*v**2 + 1230 - 1251 + v to k*v + x + h*v**2 and give x.
-21
Express 39*a - 114*a + 38*a + 39*a + 69 as j*a + q and give q.
69
Rearrange 3*d**4 + 0*d**4 - d**4 + (1 + 3 - 2)*(414*d**4 + 214 - 214) to the form z*d**3 + f + k*d + y*d**4 + p*d**2 and give y.
830
Rearrange -5*x**3 + 4*x**3 - 4*x**3 - 6*x**2 + 14*x**3 to the form n*x + i*x**2 + k*x**3 + o and give k.
9
Rearrange -38 + 4*k**3 - 2*k**3 - 7*k**3 + 34 to the form f*k**3 + a*k + u*k**2 + y and give y.
-4
Express -206*k + 414*k - 208*k + 55*k**2 in the form y*k**2 + l*k + x and give y.
55
Express 3*j**4 - j**4 - 341*j**2 + 110*j**2 + 113*j**2 + 119*j**2 - 23*j as h*j**3 + g*j**2 + k*j + x + a*j**4 and give k.
-23
Express -895*p - 12307 + 12307 as a + u*p and give a.
0
Rearrange 4*a + a**4 - a**3 + 2 + 13*a**2 - 16*a**2 - 8*a**2 to the form c*a + l + b*a**2 + o*a**4 + n*a**3 and give c.
4
Rearrange (168 - 95 + 365)*(d + 0*d + 0*d) to y*d + c and give c.
0
Express -5 - 7 + 4*w**3 + 0*w**3 - 3*w**3 in the form i*w**2 + z + q*w**3 + h*w and give q.
1
Express 3*g - 94*g**3 - 93*g**3 + 58*g**3 + (3 - 2 - 2)*(2*g**2 + g**3 - 2*g**2) - g**3 - 4*g**3 + 3*g**3 as d*g**3 + b*g**2 + a*g + h and give d.
-132
Rearrange -142 - 127 + 268 + 1402*h to the form o*h + j and give o.
1402
Rearrange (1 + 10 + 1)*(74*h**2 + 75*h**2 - 2*h - 155*h**2 - 3) to the form g*h**2 + t*h + c and give t.
-24
Rearrange 3*r + 13*r - 5*r + (-2*r + r + 2*r)*(71 + 211 - 48) to s*r + h and give s.
245
Express 1 + 1 - 8 - 1553*n + 1431*n in the form a*n + h and give a.
-122
Express -21 + v**2 + 231 + 3*v**2 + 30 - 3*v**2 as w*v**2 + m*v + u and give w.
1
Express (-3*c + 5*c - 3*c)*(13 - 29 + 17 + 808*c + 182*c) as k*c + a + u*c**2 and give u.
-990
Rearrange -21 + 18 - 266 + 2*r to the form u + q*r and give q.
2
Express (27 - 67 - 38)*(j - 3 + 3)*(4*j - j + 0*j) in the form g*j + h*j**2 + l and give h.
-234
Rearrange (-24*i + 110 - 110)*(0 - 2 + 0)*(-3 + 3 + 5*i) to k + h*i**2 + l*i and give h.
240
Rearrange -2*g**2 - 2*g**4 - 8 - 11991*g + 11989*g + 3*g**2 + g**3 to the form p + b*g + a*g**3 + u*g**4 + d*g**2 and give p.
-8
Rearrange (3*i - 3*i + 4*i)*(-2*i + 2*i**2 + 2*i) + 4*i**3 + 0*i**3 - 6*i**3 to g*i**2 + s + f*i + v*i**3 and give v.
6
Rearrange -69*x**3 - 1 + 13*x**3 - 2*x + 1 to the form j*x**2 + r + q*x + y*x**3 and give y.
-56
Express 173*x**2 + 168*x**2 - 340*x**2 + 6*x + 2*x**4 in the form r*x**2 + c + v*x**3 + m*x**4 + l*x and give l.
6
Express -a**4 - 5*a**4 + 4*a**4 + (-3*a**4 + 4*a**4 - 3*a**4)*(10 - 13 - 10) - 4*a**4 + a**4 + 2*a**4 in the form r*a**3 + m*a**4 + t + j*a**2 + q*a and give m.
23
Rearrange -182*l**2 + 161*l**2 - 192*l**2 - 165*l**2 to p*l + z*l**2 + w and give z.
-378
Express -t + 0*t - 6*t + (-3*t + 2*t - t)*(2 - 1 + 0) + 0*t - 3*t + t - 7*t + t + 4*t as h + b*t and give b.
-13
Rearrange (265*x - 2 - 152*x - 131*x)*(0 - 3 - 2) to q + a*x and give a.
90
Rearrange -10*c**3 - 2*c**3 + 2*c**3 + 7*c**2 - c + 11*c**3 - 6*c**4 to the form p*c**3 + b + u*c**4 + z*c**2 + y*c and give y.
-1
Express (3*z - 3 + 3)*(0*z**2 - 68*z**2 - 32*z**2) as g*z**2 + y*z**3 + h + f*z and give y.
-300
Rearrange (0 + 0 + 4)*(9864 - 9864 + 750*b**4) to t*b**2 + y*b**3 + f*b + g*b**4 + w and give f.
0
Rearrange -462*k**3 - 2*k - 28 - 43 + 69 + 2*k to t*k**3 + f + s*k + q*k**2 and give f.
-2
Rearrange -7*m**3 - 5*m**4 + 4*m**3 + 3*m**4 - m**4 - 2*m + 2*m**3 to z*m**4 + o + s*m + k*m**3 + w*m**2 and give s.
-2
Rearrange (3 + z**2 - 1 + 0)*(2*z + z + 2*z) to the form p*z**3 + b*z**2 + n + s*z and give p.
5
Express 61*m + 36*m + 1 - 19*m - 4 in the form k + u*m and give u.
78
Express -k + 200*k**2 + 109*k**2 - 52*k**2 + 61*k**2 in the form m*k**2 + j + x*k and give m.
318
Express (-4*x**2 + 2*x**2 + x**2)*(22*x + 237 - 237) + (-2*x**2 + 2*x**2 - 2*x**3)*(-4 + 0 - 3) in the form u + g*x**3 + f*x**2 + q*x and give u.
0
Express (-2*k - 1 + 1)*(2 + 0 - 1) - 607*k - 616*k + 68*k - 760*k in the form h + m*k and give m.
-1917
Rearrange -83*h - 582*h - 31*h - 277*h to the form a*h + u and give a.
-973
Rearrange (-484 - 269 - 1284)*(-3*u**4 + u**4 + 3*u**4) to h*u**4 + a*u**3 + w*u**2 + g + x*u and give h.
-2037
Express (-1 + 4 - 5 + (0 - 1 + 0)*(2 - 2 + 2) - 17 - 7 + 13)*(2*v - 7 + 7) in the form q + y*v and give y.
-30
Rearrange (0*y + 3*y - 4*y)*(-6 + 1 + 3 + (2 - 3 + 0)*(0 - 3 + 2) + 1 + 2 - 1 + 5 - 3 + 1) to a + f*y and give f.
-4
Express (32*p - 18727 + 18727)*(-86*p**2 + 86*p**2 + 4*p**3) + p**3 + p**4 - p**3 in the form m*p + z*p**4 + q + x*p**2 + g*p**3 and give z.
129
Rearrange (20*p - 104 + 2*p**2 + 104)*(-6*p + 3*p - 3*p) to the form j*p + u*p**3 + n + g*p**2 and give g.
-120
Rearrange 3*t**4 + 132 + 20*t**3 - 131 - 6*t**2 - 21*t**3 to j*t**2 + i*t**3 + l*t**4 + x + s*t and give l.
3
Rearrange 364*d**2 + 696*d**2 + 53*d**2 + (-d - 1 + 1 + 1)*(d + d + 0*d) to the form i*d**2 + m*d + v and give i.
1111
Express 103 + 0*u**3 - 5*u**2 - 3*u**3 - 106 as h + v*u**2 + g*u + s*u**3 and give s.
-3
Express (-2 + 6 - 2)*(3*g + 90*g + 240*g) in the form m*g + v and give m.
666
Rearrange (1 + 2 + 2)*(-6*w - 3*w + w)*(-4 + 1 + 6) to y*w + t and give y.
-120
Express (-29*v**2 + 29*v**2 - 48*v**3)*(-2 + 1 + 0) as j + z*v**3 + x*v + w*v**2 and give z.
48
Express 78*x + 278*x - 155*x + 203*x in the form d*x + w and give d.
404
Express 2*y**4 - 2000*y**3 + 2002*y**3 - 2*y**2 - 2*y + 5*y**4 as t*y**3 + s + m*y + o*y**2 + v*y**4 and give m.
-2
Rearrange (-8*g + 0*g - 3*g)*(-2*g - 2 + 2) + 18*g - 18*g - 13*g**2 to b*g + a + v*g**2 and give v.
9
Express (-3 + 0 + 1)*(-130*p - 60*p + 551*p)*(0 - p**2 + 0) in the form m*p**2 + y*p**3 + r*p + j and give y.
722
Rearrange -5*o**3 + 6*o**3 - 4187*o**4 + 4234*o**4 + 4 to f*o**2 + m + v*o + t*o**3 + r*o**4 and give t.
1
Express 0*n**2 - 4*n + 9 + 12*n - n**3 + n**2 - 12 as j*n**2 + m*n**3 + f*n + d and give m.
-1
Rearrange 3*i**2 + 25*i**2 + 7*i - 20*i**2 + 74*i**2 to o + a*i**2 + g*i and give g.
7
Express -2234*a + 90 + a**3 | {
"pile_set_name": "DM Mathematics"
} |
+ 148*b. Let z(j) = s(j) - 12*w(j). Let q(h) be the second derivative of -7*h**3/6 + h. Calculate z(q(n)).
21*n
Let t(u) = -1285*u**2. Let s(g) = -82*g. Determine s(t(b)).
105370*b**2
Let g(x) = 7*x. Let t(o) = 928*o + 111. Give g(t(q)).
6496*q + 777
Let p(q) = 2*q**2. Let v(u) be the third derivative of 0 + 0*u**3 + 0*u + 9/10*u**5 + 27*u**2 + 0*u**4. Calculate p(v(f)).
5832*f**4
Let z(a) = -3*a. Let h(t) = -157778*t. Calculate z(h(j)).
473334*j
Let v(j) = -2*j - 8. Let z be v(-6). Let n be 1/(-4*z/(-32)). Let l(t) = -31*t + 2 - n + 28*t. Let k(u) = -u. Calculate l(k(o)).
3*o
Let r(g) = 5. Let d(a) = a + 25. Let y(p) = 2*d(p) - 10*r(p). Let f(q) = 181*q + 2. What is y(f(l))?
362*l + 4
Let z(u) = 3*u. Let p(d) = -91*d**2 + 26. Determine p(z(h)).
-819*h**2 + 26
Let s(x) be the third derivative of x**4/3 + 3*x**2. Suppose 5*d - 4640 = -2*l, -4*d - 4*l + 367 + 3357 = 0. Let n(w) = d - 3*w - 926. Give n(s(q)).
-24*q
Let a(f) = 67349*f**2. Let h(z) = -3*z. Calculate h(a(p)).
-202047*p**2
Let r(x) = 5*x + 6. Let o(s) = 42*s + 51. Let l(y) = 6*o(y) - 51*r(y). Let u(z) = 48*z. What is u(l(d))?
-144*d
Let c be ((-6)/(-162))/(4/18). Let h(i) be the second derivative of 3*i + c*i**3 + 0 + 0*i**2. Let t(a) = -6*a. Give h(t(v)).
-6*v
Let z(s) = 4*s - 24. Let b(x) = 3*x + 44. Let g(i) = i + 16. Let y(t) = -4*b(t) + 11*g(t). Determine y(z(l)).
-4*l + 24
Let o(s) = -2*s. Let t be 1/((-3)/(-60)*4). Let u(i) = -4*i - 6*i - 10*i + t*i. Determine u(o(n)).
30*n
Let v(t) = t**2. Let q = -86 - -88. Let i(o) = 1387*o - 1387*o - q*o**2. Calculate i(v(h)).
-2*h**4
Let l(r) be the second derivative of 4*r**3 + 2*r. Let n(s) = -1069360 + 1069360 + 2*s**2. Give n(l(p)).
1152*p**2
Let l(z) = -2*z - 1993. Let j(c) = -120*c**2 + 2*c. Give l(j(i)).
240*i**2 - 4*i - 1993
Let h(o) = -39*o**2 + 5. Let i(r) be the second derivative of 44*r**4/3 - 11*r**2 + 39*r. Let b(u) = -22*h(u) - 5*i(u). Let d(g) = g. What is b(d(m))?
-22*m**2
Let l(x) = 282 + 284 + 27*x - 566. Let o(p) = 2*p. Let s(z) = -z. Let a(k) = -o(k) - s(k). Give l(a(g)).
-27*g
Let s(p) = -61*p. Let l(j) = 1220*j. Calculate l(s(k)).
-74420*k
Let k(v) = -7*v**2. Let d(u) = -3*u - 753. Determine k(d(i)).
-63*i**2 - 31626*i - 3969063
Let i(o) = 3*o - 2. Let z(m) = 4*m + 152. Determine z(i(u)).
12*u + 144
Let p(w) = -4*w**2. Let o(z) = 13*z**2 + 5*z. Let i(y) = -6*y**2 + 15992 - 15992 - 2*y. Suppose 0 = b - 3 + 1. Let g(m) = b*o(m) + 5*i(m). What is g(p(c))?
-64*c**4
Let y(l) = 4*l**2. Let k(u) = 43*u - 12. Let p(z) = 4300*z - 1204. Let t(s) = 301*k(s) - 3*p(s). What is y(t(w))?
7396*w**2
Let c(s) = 33*s - 9. Let m(t) = 16*t - 5. Let y(w) = 5*c(w) - 9*m(w). Let u(g) = g + 1. Let z(a) = -3*a - 2. Let l(i) = 6*u(i) + 3*z(i). What is l(y(b))?
-63*b
Let m(j) be the third derivative of 0 + 0*j + 7/60*j**5 + 0*j**3 - 2*j**2 + 0*j**4. Let i(z) be the second derivative of -z**4/6 - 26*z. Calculate i(m(f)).
-98*f**4
Let x(o) = 98*o**2. Let l(v) = 4205*v**2. Calculate x(l(p)).
1732838450*p**4
Let k(o) = 2391*o - 14. Let c(a) = -6*a. Determine k(c(q)).
-14346*q - 14
Let h(k) = -12*k**2. Let v(u) be the second derivative of u**4/6 + 23*u**2 - 2*u + 8. Let a(o) be the first derivative of v(o). What is a(h(g))?
-48*g**2
Let j(z) = -3*z. Let o(t) = 701*t. Let k(h) = -2*j(h) - o(h). Let s(a) = a. What is s(k(y))?
-695*y
Let g(z) = -13*z - 2436. Let j(b) = b. Determine g(j(y)).
-13*y - 2436
Let m be (-1)/2*2*-2. Let i = m + 0. Let q(t) = 8*t**i + 9*t**2 - 16*t**2. Let h(p) = 3*p**2. Give q(h(g)).
9*g**4
Let x(c) = c - 425396. Let z(g) = 2*g**2. Determine x(z(b)).
2*b**2 - 425396
Let m(j) = 32*j - 11. Let o(q) = -12*q - 5. Let a be o(-3). Let d = a - 42. Let f(n) = 11*n - 4. Let v(s) = d*f(s) + 4*m(s). Let b(r) = -2*r. Determine v(b(x)).
-14*x
Let v(r) = 4*r. Let n(i) = -4*i**2 + 15*i - 270. Determine v(n(p)).
-16*p**2 + 60*p - 1080
Let h(w) = -w**2. Let f(a) = -7*a**2. Let d(c) = -f(c) + 6*h(c). Let y(v) = -16*v**2 - v + 9*v**2 + v. Calculate y(d(l)).
-7*l**4
Let g(m) = m**2. Let d(z) = -18954*z. Calculate g(d(k)).
359254116*k**2
Let i(g) be the second derivative of -g**6/180 - 2*g**3 - 10*g. Let t(u) be the second derivative of i(u). Let h(v) = 5*v**2. What is t(h(a))?
-50*a**4
Let j(f) = -7*f**2. Let t(l) = 0*l + l**2 + 2*l**2 + 4*l. Let h(r) = -3*r**2 - 3*r. Let b(v) = -4*h(v) - 3*t(v). Determine j(b(u)).
-63*u**4
Let p(v) = -310*v - 23. Let f(w) = -3*w. Calculate p(f(r)).
930*r - 23
Let c(d) = 6*d + 5*d**2 - 6*d. Let b(k) = 61*k + 54*k + 63*k - 181*k. Calculate c(b(v)).
45*v**2
Let l(k) = 8 - 26*k - 8 + 29*k. Let h(g) = 37*g**2. Calculate l(h(b)).
111*b**2
Let g = 85 + -80. Let w(i) = g - 5 + 0*i - i. Let k(u) = 7*u. Calculate k(w(v)).
-7*v
Let l(w) be the third derivative of -w**5/60 - w**4 - w**2 - 7*w. Let z(m) = -m**2. Calculate z(l(q)).
-q**4 - 48*q**3 - 576*q**2
Let y(f) = -7*f**2. Let i(o) = 2*o**2 + 107*o - 51. Let a be i(-54). Let k(n) be the first derivative of 0*n**2 + 0*n + 1/3*n**a + 1. Calculate y(k(h)).
-7*h**4
Let h(m) = 25609*m. Let p(y) = 2*y + 147. Give p(h(r)).
51218*r + 147
Let p(c) be the second derivative of 0*c**3 + 0 + 0*c**2 - 5*c - 1/6*c**4. Let s(l) be the second derivative of -5*l**3/6 + 3*l. What is p(s(v))?
-50*v**2
Suppose 1 = 4*l + 3*u - 5, -10 = -4*l - u. Let c(s) = s**2 - l*s**2 + s**2 - 3*s**2. Let g(n) = -4*n**2. What is c(g(b))?
-64*b**4
Let u = 13 - 9. Suppose 2*x - 4*x + u*z = -14, 2*z = -3*x + 5. Let k(c) = -c + 3 - x + 0. Let i(o) = -5*o**2. What is i(k(w))?
-5*w**2
Let g(w) = 3*w**2. Let z(p) be the second derivative of p**5/8 - 10*p**3/3 - 10*p. Let v(r) be the second derivative of z(r). What is g(v(s))?
675*s**2
Let g(y) = -17*y. Let x(j) be the first derivative of 2*j**3/3 + 37. Give g(x(b)).
-34*b**2
Let z(c) = 20*c**2 + 1. Let h(x) = 2*x. Let g(u) = -9*u. Let a(j) = 6*g(j) + 26*h(j). Calculate a(z(k)).
-40*k**2 - 2
Let k(y) = -y. Let h(p) be the third derivative of -16*p**5/15 + 40*p**2. What is k(h(c))?
64*c**2
Let v(d) = -18102*d + 15 + 18056*d - 15. Let h(k) be the second derivative of -k**3/3 + k. Give h(v(r)).
92*r
Let b(d) = 6*d**2. Let w = 279 + -276. Let p(s) be the second derivative of 0 - 1/6*s**w - 6*s + 0*s**2. Give p(b(h)).
-6*h**2
Let j(f) = -40*f**2. Let k(u) = -2*u**2 - 2. Let s(g) = -36*g**2 - 30. Let o(h) = -15*k(h) + s(h). What is j(o(t))?
-1440*t**4
Let d(l) = 18*l. Let n(m) = -3*m**2 - 2*m**2 + 4*m**2 - 3*m**2. Give d(n(q)).
-72*q**2
Let c(u) be the first derivative of 2*u**3/3 - 1. Let p be ((-110)/3)/(8/(-12)). Let s(h) = -3*h**2 + 55*h - p*h. Determine c(s(v)).
18*v**4
Let l(h) = 3*h**2 + 50 - 31 - 19 + 0*h**2. Let k(v) = -10*v. Let y(p) = -70*p. Let o(z) = -30*k(z) + 4*y(z). Give l(o(b)).
1200*b**2
Let v(r) = -4*r. Suppose -2*s = 4*y + y - 20, 0 = 3*s. Let m(l) = -y*l + 3*l - 2*l. Let d(a) = 3*m(a) - 2*v(a). Let t(b) = b. What is d(t(p))?
-p
Let a(d) = -2*d. Let w(g) = -459614*g. Calculate a(w(v)).
919228*v
Let p(t) = -16*t**2 + 51*t**2 - 29*t**2. Let x(i) = -i. Give p(x(w)).
6*w**2
Let o(b) be the third derivative of -b**5/30 - b**2. Let h(y) be the second derivative of 0*y**2 + 0 + 21*y - 5/12*y**4 + 0*y**3. What is o(h(s))?
-50*s**4
Let o(g) = -266*g. Let b(x) = -2*x - 43. Calculate b(o(h)).
532*h - 43
Let s(p) = -6*p**2 - 253*p. Let o(c) = -59*c. Calculate o(s(n)).
354*n**2 + 14927*n
Let t(u) = -2391*u. Let a(q) = 5*q**2 + 4. What is a(t(v))?
28584405*v**2 + 4
Let d(c) = 290*c - 148*c - 158*c. Let w(r) = -7*r. Calculate d(w(x)).
112*x
Let w(u) = -40*u**2 - 10. Let k(f) = 1. Let h(n) = -10*k(n) - w(n). Let p(q) be the first derivative of q**2 - 152. Determine h(p(t)).
160*t**2
Let k(r) = 24*r - 9. Let l(z) = 2*z**2 + 0*z**2 - 11*z**2 + 7*z**2. What is l(k(h))?
-1152*h**2 + 864*h - 162
Let k(l) be the first derivative of -l**3 + 1. Let t(j) = -86*j - 11. Let r(g) = -16*g - 2. Let i(h) = -11*r(h) + 2*t(h). Determine i(k(d)).
-12*d**2
Let r(f) = -23*f + 0*f + 15*f. Let w(l) = 6*l. Determine r(w(d)).
-48*d
Let g(u) = 17*u**2. Let n(t) be the first derivative of t**5/60 + 4*t**3/3 + 15. Let q(o) be the third derivative of n(o). Give q(g(k)).
34*k**2
Let z(o) be the first derivative of -o**2/2 + 196. Let w = 3 - 1. Let k(j) = -12 + w*j + 12. What is k(z(n))?
-2*n
Let m(h) = -h. Let r(i) = -648811*i**2. Calculate m(r(b)).
648811*b**2
Let b(r) = 4*r + 1. Let o(t | {
"pile_set_name": "DM Mathematics"
} |
l**2
Collect the terms in 66 - 3*c - 582 + 53.
-3*c - 463
Collect the terms in -210212*o**3 + 420438*o**3 - 210217*o**3.
9*o**3
Collect the terms in 168 - 53 - 115 - 65*s.
-65*s
Collect the terms in -219*a**3 - 825*a**2 + 2481*a**2 - 827*a**2 - 829*a**2.
-219*a**3
Collect the terms in -3 - 262*u + 1 - 310*u + 99*u.
-473*u - 2
Collect the terms in 82970746*s**2 - 4*s**3 - 82970746*s**2 + 14*s.
-4*s**3 + 14*s
Collect the terms in -6880 - 2794*g**2 + 6880.
-2794*g**2
Collect the terms in 324*t + 9*t**3 - 100*t - 109*t - 104*t.
9*t**3 + 11*t
Collect the terms in -2*y**3 - 14361596*y + 14361596*y.
-2*y**3
Collect the terms in -107 - 102 - 211*f**2 + 853*f**2 + 209.
642*f**2
Collect the terms in 263 + 144 - t + 10*t**3 - 12*t**3 + 7*t.
-2*t**3 + 6*t + 407
Collect the terms in c - 11*c**2 - 46*c + 45*c.
-11*c**2
Collect the terms in -4*y**2 + 6*y**3 + y**3 - y**2 + 5*y**2.
7*y**3
Collect the terms in 34 + 16 - 91*y**3 - 50.
-91*y**3
Collect the terms in 58*y**2 + 45*y**2 - 4*y**3 - 1143*y + 1143*y.
-4*y**3 + 103*y**2
Collect the terms in -5*a**2 + 182*a**2 + 236*a**2 + 6*a**2.
419*a**2
Collect the terms in 5*m**2 + 7*m**2 + 5*m**2 - 19*m**2 - 21454 + 21454.
-2*m**2
Collect the terms in 164*y**2 + 184*y**2 + 182*y**2 - 531*y**2.
-y**2
Collect the terms in -948*h + 2856*h - 950*h - 950*h.
8*h
Collect the terms in 79743 - 79743 + 5*a.
5*a
Collect the terms in 317040*y**2 - 4943*y**2 + 20823*y**2.
332920*y**2
Collect the terms in -28 + 73 + 4*h - 45.
4*h
Collect the terms in -2*o + 2*o + 2*o + 7753.
2*o + 7753
Collect the terms in 8*t - 2*t + 2*t + 10*t + 11*t - 26*t.
3*t
Collect the terms in -10*j - 9*j + 278*j**2 - 9*j + 27*j.
278*j**2 - j
Collect the terms in 4 + 524432*u - 4.
524432*u
Collect the terms in -44*q + 96 - 54*q + 154*q - 53*q.
3*q + 96
Collect the terms in 4*j**2 - 24 + 24 - 34*j**2.
-30*j**2
Collect the terms in -2343950 + 2343950 - 5*b**2.
-5*b**2
Collect the terms in -3*r**3 + 9713*r + 846*r**2 - 846*r**2 - 9713*r.
-3*r**3
Collect the terms in -3*z**2 - 1 + 9*z**2 + 0*z**2 - 2*z**2.
4*z**2 - 1
Collect the terms in -1743*i**2 - 1237*i**2 - 1223*i**2.
-4203*i**2
Collect the terms in -2*t + 30855*t**2 + 30795*t**2 + 2*t - 61700*t**2.
-50*t**2
Collect the terms in 36*f**2 + 107*f - 107*f - 23*f**2.
13*f**2
Collect the terms in 3 + 3 - 6 - 2 + 146*k.
146*k - 2
Collect the terms in -294*b**2 - 632*b**2 + 164*b**2.
-762*b**2
Collect the terms in -51*d**3 + 369*d**3 - 52*d**3 - 52*d**3.
214*d**3
Collect the terms in 1146*f - 805*f - 1249*f.
-908*f
Collect the terms in 204*p**3 - 375*p**3 + 172*p**3.
p**3
Collect the terms in -174*f - 98*f - 1 - 4*f.
-276*f - 1
Collect the terms in 28 - 9 - 19*z**3 + 7*z**3 - 4*z**3 - 19.
-16*z**3
Collect the terms in 182*m + 179*m + 152*m - 313*m + 51*m.
251*m
Collect the terms in 154 + 162 - 487 + 3*a**2 + 2*a**2 + 171.
5*a**2
Collect the terms in -4 + 4 - 15338*h.
-15338*h
Collect the terms in -408*i + 763*i - 360*i.
-5*i
Collect the terms in 10*z + 9*z + 1942554*z**3 - 1942557*z**3 - 19*z.
-3*z**3
Collect the terms in 3*i - 36 - 3*i + 2*i + i - 2*i.
i - 36
Collect the terms in -6*t - 53356 - 2*t**3 + t + 5*t.
-2*t**3 - 53356
Collect the terms in 30*x**3 - 253611 + 253611.
30*x**3
Collect the terms in 5 + 36*i**3 + 286*i - 5 - 288*i.
36*i**3 - 2*i
Collect the terms in 1779004 - 1779004 - 24*x.
-24*x
Collect the terms in -11 + 15 + 140*w - 138*w.
2*w + 4
Collect the terms in 5610*t**2 - 6*t - 5608*t**2 - 7*t.
2*t**2 - 13*t
Collect the terms in -29 - 39 - 60 + 128 + 73*a.
73*a
Collect the terms in -3*q**3 + 636 + 5*q**3 - 28*q**2 + 54*q**2 - 26*q**2.
2*q**3 + 636
Collect the terms in -22345*w**2 - 2*w**3 + 0*w**3 + 67049*w**2 - 22349*w**2 - 22355*w**2.
-2*w**3
Collect the terms in 15 - 19 + 4 - 192*d + 189*d.
-3*d
Collect the terms in -3*n**3 + 181*n**2 + 14 - 181*n**2 + n**3.
-2*n**3 + 14
Collect the terms in -43*v**3 + 1539*v**3 - 1509*v**3.
-13*v**3
Collect the terms in -18441*r**3 + 194*r**2 + 18439*r**3 - 194*r**2.
-2*r**3
Collect the terms in 2*f + 791*f**2 + 718*f**2 - 2*f.
1509*f**2
Collect the terms in -35*o + 79*o + 5 + 128*o.
172*o + 5
Collect the terms in 2 - 386923*n - 2 + 386940*n.
17*n
Collect the terms in -164*j**2 + 30 + 996*j + 163*j**2 - 30.
-j**2 + 996*j
Collect the terms in 2 + 5*b**2 - 12 + 7 + 9.
5*b**2 + 6
Collect the terms in 3 + 718*s**2 - 1267*s**2 + 560*s**2 + 1 - 5.
11*s**2 - 1
Collect the terms in -258 + 3*b + 132 + 126 - 7*b**3.
-7*b**3 + 3*b
Collect the terms in 364*l**2 - 288*l**2 - 20*l + 20*l.
76*l**2
Collect the terms in -11191*m + 22376*m - 42 - 11182*m.
3*m - 42
Collect the terms in 163*t - 263*t + 130*t - 175*t**2.
-175*t**2 + 30*t
Collect the terms in 5*t**3 + 11*t**3 + 6*t**3 - 2*t**3 + 12*t**3.
32*t**3
Collect the terms in -19*t - 21*t - 19*t + 71*t - 13*t.
-t
Collect the terms in 13 - 6*n - 2*n - 6*n - 41.
-14*n - 28
Collect the terms in -5*n - 10*n + 1298*n**2 + 27*n - 11*n.
1298*n**2 + n
Collect the terms in 234*g**2 + 236*g**2 - 924*g**2 + 223*g**2 + 228*g**2.
-3*g**2
Collect the terms in -60*s**2 + 146*s**2 + 116*s**2.
202*s**2
Collect the terms in -30*w**3 + 161*w**3 - 33*w**3 - 33*w**3 - 31*w**3 - 29*w**3.
5*w**3
Collect the terms in -155 + 9*l**2 + 283 + 35*l**2 - 128.
44*l**2
Collect the terms in -417*t**2 - 719*t**2 - 1251*t**2 - 2591*t**2.
-4978*t**2
Collect the terms in -14*j**2 - 12103*j + 2*j**2 + 24200*j - 12097*j.
-12*j**2
Collect the terms in 0*j**2 - j**2 + 315*j - 317*j.
-j**2 - 2*j
Collect the terms in 57*p + 294*p + 1085*p - 4.
1436*p - 4
Collect the terms in -2552*n**2 + 855*n**2 + 853*n**2 + 839*n**2.
-5*n**2
Collect the terms in -394*w**2 - 43060998 + 43060998.
-394*w**2
Collect the terms in 2*k + 4 - 1 - 91*k**2 - 71*k**2 - 3.
-162*k**2 + 2*k
Collect the terms in 1314*j**2 - 658*j**2 - 736*j**2.
-80*j**2
Collect the terms in -117*o**3 - 96*o**3 - 2841*o + 2841*o - 41*o**3.
-254*o**3
Collect the terms in 3960*x - 1829*x - 1059*x.
1072*x
Collect the terms in 500*q**3 - 960*q**3 + 572*q**3.
112*q**3
Collect the terms in -427*d**2 - 430*d**2 - 430*d**2 - 429*d**2 + 1711*d**2.
-5*d**2
Collect the terms in 78345*a - 74*a**2 + 103*a**2 - 32*a**2 - 78345*a.
-3*a**2
Collect the terms in -1 + 314*q - 1757*q - 313*q.
-1756*q - 1
Collect the terms in -293*w - 111*w + 119*w.
-285*w
Collect the terms in -x - 4*x - 8*x + 2*x - 9*x**3.
-9*x**3 - 11*x
Collect the terms in 85*l**2 + 79*l**2 - 151*l**2 - 1.
13*l**2 - 1
Collect the terms in -2 + 0 - 102*v + 59*v + 4 + 6.
-43*v + 8
Collect the terms in 20 + 17 + 142*n - 37.
142*n
Collect the terms in 81*w - 161*w + 81*w + 45*w**2.
45*w**2 + w
Collect the terms in 686*m**3 + 28885*m - 28885*m - 22 + 22.
686*m**3
Collect the terms in 3781*z**2 + 8079*z**2 + 7520*z**2 - 3707*z**2.
15673*z**2
Collect the terms in -12442*f + 4192*f + 4051*f + 4196*f.
-3*f
Collect the terms in -7*t**3 + 47*t**2 + 11*t**2 - 45*t**2 - 13*t**2.
-7*t**3
Collect the terms in 495*g**3 - 184*g**3 - 342*g**3.
-31*g**3
Collect the terms in 55 - 234*v - 15 + 238*v + 12.
4*v + 52
Collect the terms in 10*y + 5*y + 16*y - 28*y.
3*y
Collect the terms in -11*v**2 + 3076 + 9*v**2 - 3076.
-2*v**2
Collect the terms in -12546 + l + 2*l**2 - l.
2*l**2 - 12546
Collect the terms in -7 - 186*k**2 + 8 + 2.
-186*k**2 + 3
Collect the terms in -p + 1 - 415*p**3 + 4*p + 114*p**2 - 2*p.
-415*p**3 + 114*p**2 + p + 1
Collect the terms in -9*u**2 + 4546*u - 2273*u - 2273*u.
-9*u**2
Collect the terms in -9*w**2 + 39 - 178 + 104 + 35.
-9*w**2
Collect the terms in -h - 254*h**3 + 7*h**2 - 7*h**2 - 7.
-254*h**3 - h - 7
Collect the terms in 54*s - 58*s + 49*s + 69*s + 1.
114*s + 1
Collect the terms in -35*d**3 - 82*d**3 - 95*d**3 + 37*d**3 - 7*d**3.
-182*d**3
Collect the terms in 29939040066*g - 29939040066*g - 3*g**3.
-3*g**3
Collect the terms in 28 - 94 - 137 + 25 + 4*s**2 + s.
4*s**2 + s - 178
Collect the terms in 211*b**2 - 44*b**2 - 43*b**2 - 53*b**2 - 48*b**2 - 8*b**2.
15*b**2
Collect the terms in -2*s**2 + 37*s**2 - 91*s**2.
-56*s**2
Collect the terms in 1056*x**2 - 250*x**2 - 251*x**2 - 300*x**2 - 257*x**2.
-2*x**2
Collect the terms in -81 - 36 + 159 - 42 + 7*l.
7*l
Collect the terms in 3296*r**3 - 6599*r**3 + 3305*r**3.
2*r**3
Collect the terms in 268 + 959*s - 1935*s + 979*s - 268.
3*s
Collect the terms in -106460 + 106460 - 2*q**3.
-2*q**3
Collect the terms | {
"pile_set_name": "DM Mathematics"
} |
03 a composite number?
False
Is 571480115 a prime number?
False
Is 3185175031 a composite number?
True
Is 7578668071 prime?
False
Is 4804372453 a prime number?
True
Is 72140569 a composite number?
True
Is 71761801679 a composite number?
True
Is 36724406261 a prime number?
True
Is 3811284397 composite?
True
Is 8188498543 a prime number?
False
Is 781350589 prime?
True
Is 30379371701 prime?
False
Is 573422999 a prime number?
True
Is 8787881737 prime?
False
Is 1381226919 a prime number?
False
Is 1063117663 prime?
False
Is 36691408443 a prime number?
False
Is 992075627 prime?
False
Is 1187089261 a composite number?
True
Is 11115471949 prime?
True
Is 3320132831 composite?
True
Is 48619155421 prime?
False
Is 14792469881 a composite number?
True
Is 4318729 a prime number?
True
Is 126695003 composite?
True
Is 1123503427 a prime number?
False
Is 140591674 composite?
True
Is 1035810277 composite?
True
Is 585315889 composite?
False
Is 4802145631 a composite number?
False
Is 9165739673 a prime number?
False
Is 21073478669 prime?
False
Is 1385364815 prime?
False
Is 25160178997 a prime number?
True
Is 1484575769 composite?
True
Is 2101302683 prime?
False
Is 74064410113 a composite number?
True
Is 4161778213 a prime number?
True
Is 1187948441 a composite number?
False
Is 7402163533 prime?
False
Is 52463210578 a prime number?
False
Is 314934341 a composite number?
False
Is 312060547 a composite number?
False
Is 170436624907 a composite number?
True
Is 255546457 prime?
False
Is 545791091 composite?
False
Is 216280031029 prime?
False
Is 238030333 a composite number?
False
Is 6572303711 a prime number?
True
Is 4514967307 a prime number?
True
Is 78082975067 prime?
True
Is 232972693 prime?
True
Is 2839567427 composite?
True
Is 33558017617 prime?
True
Is 515839297 prime?
True
Is 301589902 a prime number?
False
Is 5382738947 prime?
False
Is 2060566811 a composite number?
True
Is 2310752167 composite?
False
Is 39014569939 prime?
False
Is 12096639521 a prime number?
True
Is 1111571471 prime?
False
Is 3323085751 prime?
False
Is 174967420109 composite?
True
Is 941422187 prime?
True
Is 560788973 composite?
True
Is 11206483073 composite?
False
Is 13829431765 a composite number?
True
Is 12404724347 a prime number?
True
Is 55725053 a prime number?
False
Is 5888954419 prime?
False
Is 129556589 prime?
True
Is 83358550487 a composite number?
False
Is 39627430679 composite?
False
Is 14736106397 composite?
True
Is 8265183871 prime?
False
Is 1859627317 prime?
True
Is 18350009737 prime?
True
Is 975515977 a composite number?
False
Is 356681531 prime?
True
Is 4769396399 prime?
True
Is 298561921 a composite number?
True
Is 58405453723 a composite number?
False
Is 375963559 a prime number?
False
Is 24249821249 prime?
True
Is 1266976201 a prime number?
False
Is 15036858347 prime?
False
Is 19706280299 composite?
False
Is 11947275311 a composite number?
False
Is 23961742789 a prime number?
True
Is 68700770051 a prime number?
True
Is 2131333933 a prime number?
False
Is 233223127 a composite number?
True
Is 7501029313 composite?
False
Is 10062737441 prime?
True
Is 35050799599 a prime number?
False
Is 18800085677 composite?
False
Is 1918285553 prime?
True
Is 45467391601 prime?
True
Is 377982211 composite?
False
Is 12747742079 a composite number?
False
Is 13694435299 composite?
True
Is 410127437 a prime number?
False
Is 591753911 a composite number?
True
Is 26837996063 composite?
False
Is 4904356921 a composite number?
False
Is 716954869 a prime number?
True
Is 50298371083 prime?
True
Is 49016216563 a prime number?
False
Is 849825959 a prime number?
True
Is 428999953 composite?
False
Is 25288254049 a composite number?
False
Is 79770970285 composite?
True
Is 2921555629 a prime number?
True
Is 10479432427 composite?
False
Is 16512004501 a prime number?
True
Is 44721221423 a prime number?
True
Is 311007581 composite?
False
Is 1691003339 prime?
False
Is 72535397 prime?
False
Is 65682787679 a composite number?
False
Is 66018427579 a composite number?
True
Is 914943569 a prime number?
True
Is 450519851 prime?
True
Is 48891207149 a composite number?
True
Is 3665837557 a prime number?
True
Is 37755157589 a composite number?
False
Is 7807025513 a prime number?
False
Is 4774057513 prime?
True
Is 9215674865 a prime number?
False
Is 6917830817 prime?
True
Is 59664968257 a prime number?
True
Is 20105872373 composite?
False
Is 1677351653 a composite number?
False
Is 2927781691 a prime number?
False
Is 544565701 composite?
True
Is 17627117 a composite number?
True
Is 3636058157 prime?
False
Is 1517340803 a composite number?
True
Is 35955525391 a prime number?
True
Is 2056469551 a composite number?
True
Is 114197791 composite?
True
Is 81506993353 a composite number?
False
Is 9903525323 prime?
False
Is 327944393 composite?
True
Is 245090203 a composite number?
False
Is 198615818 prime?
False
Is 222317897 a composite number?
False
Is 25070684291 prime?
False
Is 39034319003 a prime number?
True
Is 6004288882 a prime number?
False
Is 1478530861 prime?
True
Is 14223803023 prime?
False
Is 34315838329 a composite number?
False
Is 327944599 prime?
True
Is 11383944851 a composite number?
True
Is 201104581 a composite number?
False
Is 3969638201 composite?
False
Is 100329373 a composite number?
False
Is 1050408017 prime?
True
Is 17998442981 composite?
True
Is 58633475287 a prime number?
False
Is 86927471 composite?
True
Is 4488445321 a composite number?
True
Is 42069579047 a prime number?
False
Is 894410969 prime?
False
Is 6255684881 composite?
False
Is 4060573171 prime?
False
Is 235315253 a composite number?
True
Is 83873822377 prime?
False
Is 45725861 prime?
False
Is 1484447153 a prime number?
False
Is 580131023 a composite number?
False
Is 2040881699 a composite number?
True
Is 4835548411 prime?
True
Is 96317776795 composite?
True
Is 2563567889 prime?
True
Is 1227912887 prime?
False
Is 690261031 prime?
True
Is 444730879 a composite number?
True
Is 36594795157 a prime number?
False
Is 4667096009 a composite number?
True
Is 15372066695 a composite number?
True
Is 919590863 a prime number?
False
Is 22091940803 prime?
False
Is 29246815049 composite?
False
Is 237376939 a prime number?
True
Is 2960625529 composite?
False
Is 114142717237 a composite number?
True
Is 165782831 a composite number?
False
Is 8473076219 prime?
True
Is 293309059 composite?
True
Is 18858270373 prime?
True
Is 9591313021 composite?
True
Is 204807461 a composite number?
False
Is 1512411469 prime?
True
Is 4122307831 composite?
False
Is 279289267 composite?
False
Is 107026561969 composite?
False
Is 34327003 composite?
True
Is 2990895811 prime?
False
Is 555253843 a prime number?
False
Is 541380821 a composite number?
False
Is 1012387879 a prime number?
False
Is 821482111 composite?
False
Is 108769147 a prime number?
True
Is 12373878947 a composite number?
False
Is 8158819069 a prime number?
False
Is 5660814917 prime?
True
Is 15861065107 a composite number?
False
Is 4427042287 a composite number?
False
Is 4587885683 a composite number?
True
Is 7825710491 composite?
False
Is 35709927457 a prime number?
False
Is 17770957387 a composite number?
False
Is 187226220889 prime?
True
Is 3620151823 a prime number?
True
Is 3572874643 composite?
True
Is 8065529033 prime?
True
Is 322776367 prime?
True
Is 539030867 prime?
True
Is 15793316723 a composite number?
False
Is 4769221363 a composite number?
False
Is 2312227247 composite?
True
Is 1646472853 a composite number?
True
Is 8084999713 prime?
False
Is 674697743 prime?
False
Is 3981106463 prime?
True
Is 30338617 prime?
True
Is 72932705 a composite number?
True
Is 188287638137 a composite number?
False
Is 1517543506 composite?
True
Is 61555638241 prime?
True
Is 138200883011 prime?
True
Is 1076822129 a prime number?
True
Is 10231832902 composite?
True
Is 949153561 a composite number?
True
Is 21027239 a composite number?
False
Is 39776484543 a prime number?
False
Is 14557552939 prime?
True
Is 775691417 prime?
True
Is 779428961 composite?
True
Is 34725622273 prime?
False
Is 487016009 a prime number?
False
Is 492194581 a prime number?
False
Is 533229421 prime?
True
Is 237692659 a prime number?
False
Is 352484743 composite?
True
Is 708406729 a composite number?
False
Is 3970602085 a composite number?
True
Is 49247253 | {
"pile_set_name": "DM Mathematics"
} |
w - 0*o + 85. What is the units digit of w?
5
Let b(g) = -3*g - 2. Let l be b(-4). Let s = -4 + l. Let p(y) = -y**2 + 7*y + 8. What is the tens digit of p(s)?
1
Let i(t) be the second derivative of 4*t**3/3 - t**2/2 - 3*t. Let a be i(-5). Let k = a - -58. What is the units digit of k?
7
Let m = 46 - 105. Let c = m - -85. What is the tens digit of c?
2
Let j(w) = 2*w - 3. Let c be j(4). Suppose -h + c = -7. What is the units digit of h?
2
Let j(k) = -k - 10. Let d(l) = 2*l + 1. Let g be d(-4). Let a be j(g). What is the units digit of 11*a/(-3 - 0)?
1
Let j(s) = 3*s**3 - 4*s**2 + s + 2. Let k be j(3). Let w = k + -20. What is the units digit of w?
0
Suppose -2*a = 5*p - 370, 0*p + a = 5*p - 355. Suppose -128 = -5*l + p. What is the units digit of l?
0
Suppose 4*r - 68 = -0*r. Suppose 5*z = -2*g - r, 3*z + 30 = 2*g + 7. Suppose g*t - 7*t + 33 = 0. What is the units digit of t?
1
Let d = 50 - -9. What is the tens digit of d?
5
Suppose 22 = 5*y - 23. What is the units digit of y?
9
Suppose 0 = -r - r + 12. What is the units digit of r?
6
Let v(y) = y**3 + 7*y**2 - 4*y + 1. What is the tens digit of v(-6)?
6
What is the units digit of (-770)/(-33)*3/2?
5
Let w(m) = m**3 + 8*m**2 + m + 1. Let c(g) = g**3 + 9*g**2 + g + 2. Let n(z) = 3*c(z) - 4*w(z). Let r = 9 + -14. What is the units digit of n(r)?
7
Suppose 5*l - 4*u = 22, l - 2*u = -3*l + 14. Suppose l*p = -z + 28, -2*z = 2 - 6. What is the tens digit of p?
1
Suppose 0 = 2*j - k - 75, 2*k = 3 + 3. What is the units digit of j?
9
What is the units digit of (-519 + (-1)/1)*118/(-295)?
8
Let f(k) = 2*k**3 - 2*k**2 + 2*k + 4. What is the units digit of f(3)?
6
Suppose 0 = -f - 0*f - 3. Let h = f + 10. What is the units digit of h?
7
Let s(o) = o**3 - 2*o**2 + 2*o - 2. Let w(m) = m + 4. Let t be w(-3). Let p = 1 + t. What is the units digit of s(p)?
2
Suppose -u = -2*u - 5*w - 23, u = 5*w + 27. Suppose -5*c - 2*z = 23, -2*c - u*z - 9 + 1 = 0. Let y(s) = -s + 2. What is the units digit of y(c)?
7
Suppose 2*z - 230 = -3*z. What is the units digit of z?
6
Suppose f - 3*f = 5*h - 10, 0 = -5*h + f + 10. Let t(l) = 5*l - 2. Let z be t(6). Suppose 2*n - h*s = z, 4*s + 22 = n - s. What is the units digit of n?
2
Let d(l) = 3*l - 5. Let b be d(-9). Let q be b/(-18) + 4/18. Suppose -3 = -q*i + 5. What is the units digit of i?
4
Let q be 3*(0 + 2/6). Suppose -d + 6 = -q. What is the units digit of d?
7
Let r(h) = h - 8. Let c be r(4). Let q(x) = x**3 + 4*x**2 - 5*x - 6. Let k be q(c). Let n = -7 + k. What is the units digit of n?
7
Suppose 4*j - 17 = 15. What is the units digit of j?
8
Suppose -4*v + 257 = 97. What is the units digit of v?
0
Let i(b) = b**3 + 7*b**2 - 8*b + 3. Let q be i(-8). Let s = 19 - q. What is the tens digit of s?
1
Suppose -478 = -3*c + 2*m, 3*c + 3*m - 267 = 201. What is the tens digit of c?
5
Let m(n) = -n**3 + 4*n**2 - 3*n. Let c be m(3). Let x(f) = -f + 19. What is the tens digit of x(c)?
1
Let w(r) = -9*r**3 - r**2 + 5*r + 5. What is the tens digit of w(-2)?
6
Suppose -5*l = 8 - 43. Suppose -2*s + 17 + 25 = 0. Let r = s - l. What is the units digit of r?
4
Let w = -4 + -2. Let i = w + 14. What is the units digit of i?
8
Let g(z) = 4*z**2 - 11*z + 26. What is the hundreds digit of g(9)?
2
Let q(z) = -7*z**2 + 5 + 0*z + z**3 + 0*z**3 + 6*z + z. Let o be ((-18)/(-4))/((-6)/(-8)). What is the units digit of q(o)?
1
Let l(v) = -58*v**2 - v. Let g be l(1). Let m = -33 - g. What is the units digit of m?
6
Let i = 47 + -23. Let q = -14 + i. What is the units digit of q?
0
Let c(k) = -k**3 + 6*k**2 + k + 1. Let w be 5 - (-1 - (1 - 1)). Let m be c(w). What is the tens digit of 79/m - 2/7?
1
Let r = -111 - -156. Suppose 4*n - r = -1. What is the tens digit of n?
1
Let u be ((-2)/(-4))/((-2)/(-8)). Suppose -36 = -3*g + u*i, i - 17 = -0*g - 2*g. What is the tens digit of g?
1
Suppose -h + 2*c + 0*c + 271 = 0, 3*c = -2*h + 507. What is the tens digit of h?
6
Suppose -n + 916 = 4*v + 3*n, n - 685 = -3*v. What is the units digit of v?
8
Suppose -66 = s - 357. What is the hundreds digit of s?
2
Let h be -2 + (-1 + 0 - -5). Let a(x) be the first derivative of 2*x**3/3 - x**2 + 3*x - 3. What is the units digit of a(h)?
7
What is the tens digit of 20/1 - (0 - 1)?
2
Let y(r) = r**2 + 7*r + 4. Let m be y(-3). Let j(b) = b**2 + 7*b - 4. Let g be j(m). Suppose 0 = 6*h - 5*h - g. What is the units digit of h?
4
Let y(p) = -115*p - 1. What is the units digit of y(-1)?
4
Suppose -n = 3*n - 132. What is the units digit of n?
3
Suppose 0 = -b + 356 - 82. What is the units digit of b?
4
Let z = -8 + 4. What is the tens digit of z/(-20) - (-248)/10?
2
Suppose -11*l - 136 = -19*l. What is the units digit of l?
7
Let u(p) = -p**2 - 10*p - 2. Let g be u(-10). What is the units digit of ((-2)/g)/(1/34)?
4
Suppose 0 = 4*d - 3 - 13. Suppose -d*u + 3 = -7*u. Let p = u + 6. What is the units digit of p?
5
Let r(f) = f**2 + 8*f + 1. Let m be r(-6). Let g be 2/6 - m/3. Suppose c + 4*x - 4 = 10, -g*x - 26 = -3*c. What is the tens digit of c?
1
Let w(h) = -6*h - 10. Let z(k) = 14*k + 9. Let n(p) = -7*p - 4. Let o(s) = 11*n(s) + 6*z(s). Let l(i) = -5*o(i) - 6*w(i). What is the units digit of l(-6)?
4
Suppose 2*r = -3*v + 13, -3 = -2*v - 4*r + 3. What is the units digit of (-64)/(-40) - (-2)/v?
2
Let m(j) = -j - 4*j + 4*j + 4. Let l(w) = w**2 - 13*w + 14. Let b be l(12). What is the units digit of m(b)?
2
What is the units digit of (-1)/((1/(-6))/1)?
6
Suppose 2*t + 2*x = 224, -t + 31 = -4*x - 61. What is the tens digit of t?
0
Let x(u) = 116*u**3 - 2*u**2 + 1. Let i be x(1). Suppose 4*n = -31 + i. What is the units digit of n?
1
Let m(y) = -y**2 - 5*y + 3. Let w be m(-5). Let q(o) be the second derivative of -o**4/12 + 5*o**3/6 - 9*o. What is the units digit of q(w)?
6
Let l be 1 + 7/(28/(-60)). Let z = l - -16. What is the units digit of z?
2
Let l(u) be the second derivative of 11*u**3 - 3*u**2 - 2*u. Let v be l(-5). What is the units digit of v/(-33) + (-4)/22?
0
Suppose 76 = 2*j + 3*s, j = s + 20 + 28. Suppose 0 = -4*o + 23 - 3. Suppose o*y = y + j. What is the units digit of y?
1
Let g(m) = m**2 - 4*m + 3. Let l be g(4). What is the tens digit of -14*(l - (-132)/(-28))?
2
Suppose -d = -0*d + 5*i - 8, 0 = 5*d + 2*i - 132. Let x = d + -17. What is the tens digit of x?
1
Let v be 186/24 - (-2)/8. Let i = v - 4. Suppose -51 = -4*t + i*x + x, -9 = 3*x. What is the units digit of t?
9
Let x be 1/5 + 87/15. Suppose -m + 12 = -x. What is the tens digit of m?
1
Let p(f) = 10*f**3 + 21*f**2 + 17*f + 16. Let o(a) = 3*a**3 + 7*a**2 + 6*a + 5. Let g(b) = -7*o(b) + 2*p(b). What is the units digit of g(-6)?
9
Let x(b) = -1 + b + 0*b + 6. What is the units digit of x(0)?
5
Suppose -2*f - f - 9 = 0. Let c = f + 4. What is the units digit of ((-1)/(-1) - 0)/c?
1
What is the units digit of (58 + -1)/((-3)/(-2))?
8
Let q(j) = -j**3 + 3*j**2 + 4. Let w be q(3). Suppose r = w*r - 6. Suppose 27 = r*u + 2*y + y, -3*y + 72 = 5*u. What is the tens digit of u?
1
Let u = -44 + 102. What is the tens digit of u?
5
Let a(x) = x**3 + 10*x**2 - 12*x. Let n be a(-11). Let w = n - 10. What is the units digit of w?
1
Suppose 3 + 1 = -4*y. What is the tens digit of (4/(4/(-29)))/y?
2
What is the units digit of -1*8/2*-1?
4
Let z = 1 - -26. What is the units digit of z?
7
Suppose 5*w = 4*w + 7. Suppose -5*a + 5*j + 60 = 0, 2*a - w = 5*j + 17. Suppose d - a = -0*d. What is the units digit of d?
2
Let l be -1 + (0 - 2)*4. Let m(v) = v**2 + 8*v - 5. Let k be m(l). Suppose k*i - 2 = 6. What is the units digit of i?
2
Suppose -3*o = -4*t + 19, 2*o + 0 + 6 = -4*t. Suppose -m = t - 3. Let r(y) = y**2 - 2*y + 2. What is the units digit of r(m)?
2
What is the units digit of (-44 + (1 - -2))/(-1)?
1
Suppose 3*v - 12 = 0, 2*k = 5*k + v - 19. Suppose -k*m + 2 = -4*m. What is the units digit of m?
2
Suppose b + 4 = -3*s + 73, 0 = -4*b - 2*s + 256. What is the units digit of 4/6*b/6?
7
Suppose 0*g - g + 385 = 3*k, k + 2*g = 125. What is the units digit of k?
9
Let h(u) = 3*u**2 - 1. Let l be h(2). Let r(n) = -n**2 + 11*n + 9. What is the units digit of r(l)?
9
Let o be (-1)/2 + 71/2. Let w = -25 + o. Suppose 2*a - 4*c + 2 = 0, 5*c - w = -2*a - 3*a. What is the units digit of a?
1
Let x(o) = o**2 - 5*o - 4. Let g be x(-3). Suppose -5*y + 0 - g = 0. Let p = y + 6. What i | {
"pile_set_name": "DM Mathematics"
} |
positive.
r**(-169/7)
Simplify (k**(-17)/(k*(k/(k/(k*k**(-2/19))))/k*k*k))/(k/(k**(-9)/k)*k)**(1/16) assuming k is positive.
k**(-1569/76)
Simplify o*o**(-20)*o**(-21)*o**(-29)*o**(-30) assuming o is positive.
o**(-99)
Simplify (l**(3/4))**(-2)*(l*l*l**(-2))**(-9) assuming l is positive.
l**(-3/2)
Simplify ((v**(2/5)/v*v**(-6/5)/v)/((v/(v**9/v))/(v/(v*v*v/(v/(v/(v/((v/((v/(v/(v/((v*v**(-2/11))/v))))/v))/v))))))))**(-2/41) assuming v is positive.
v**(-372/2255)
Simplify ((x*((x*x**(-15))/x)/x)/(x/(x*x/(x/x**19))))/((x/x**(-12/13))/(x*(x/(x**(-3/16)/x))/x)) assuming x is positive.
x**(887/208)
Simplify g**(3/8)*g*g**(-3/5)*g*(((g*g*g**15)/g)/g)/((g*g**(-14/5)*g)/g) assuming g is positive.
g**(743/40)
Simplify (b/(b/b**(-3))*b*b**(-4)*(b/b**(-3))/b**(-4/3))**31 assuming b is positive.
b**(-62/3)
Simplify ((((s/s**(-16)*s*s)/s*s)/s)/s**17)/(s**(-1/12)*s**(4/5)) assuming s is positive.
s**(17/60)
Simplify (((u*u**(-13))/u)/(u/(u*u**(-2)*u*u)))/((u*u**4*u)/((u/u**(-6/17))/u)) assuming u is positive.
u**(-317/17)
Simplify (y/(y*y/y**0)*y**(2/9))**(-22) assuming y is positive.
y**(154/9)
Simplify (((n*n/((n/n**10)/n))/n)/((n*n/n**(2/11)*n)/n*n))/(n**(-4)/n)**(-44) assuming n is positive.
n**(-2330/11)
Simplify ((q/(q/q**(2/29)*q)*q/(q*q**(-2/13))*q)**47)**(-38) assuming q is positive.
q**(-150024/377)
Simplify ((d*d**(-9/5)*d)/d)**(32/5)/(d**(2/11))**(-2/93) assuming d is positive.
d**(-130844/25575)
Simplify g**28/(g/g**(4/5)*g)*(((g*g*g**(-7)*g)/g)/g)/(g*g**(-32)) assuming g is positive.
g**(259/5)
Simplify (((t*t*t**(3/4))**(-40))**39)**(7/5) assuming t is positive.
t**(-6006)
Simplify (((f**5/f*f*f)/f**(-2/11))/(f**(-1)*f/f**(5/4)))**6 assuming f is positive.
f**(981/22)
Simplify ((z**(-1/4))**(-48)/((z/z**0)/(z/z**(-6))))**(-1/25) assuming z is positive.
z**(-18/25)
Simplify y**(-1/3)*y**(-7/3)/y*y**13*y*y**2 assuming y is positive.
y**(37/3)
Simplify (s/s**(-7))**(-42)/((s**(1/5)*s)/s)**(22/3) assuming s is positive.
s**(-5062/15)
Simplify (q**12)**31*(q/(q**(-10/7)/q))**39 assuming q is positive.
q**(3540/7)
Simplify ((p**(2/39)/p)/p**14)/(p*p/(p/p**1*p))**16 assuming p is positive.
p**(-1207/39)
Simplify (((w*w/(w*(w**(-2/7)/w)/w))**24)**(-32/7))**40 assuming w is positive.
w**(-706560/49)
Simplify (j**1)**2*(j*(j**(1/5)/j)/j*j)**(-10) assuming j is positive.
1
Simplify (v*(v*v/(v/(((v/(v/v**(3/5)*v))/v)/v)))/v)**(-29/4)*v**(1/12)/(v/(v*v*v**(-4)/v*v*v*v*v)) assuming v is positive.
v**(307/30)
Simplify ((((k/k**1)/k)/k)**(13/4)/((k/k**(-5))/(k*k**4)))**22 assuming k is positive.
k**(-165)
Simplify (i/(i/i**(-1/4))*i/((i*(i/(((i*i/i**(-3/4))/i)/i))/i)/i*i))/(i/(i*((i**0/i*i)/i)/i))**(-19/3) assuming i is positive.
i**(79/6)
Simplify (u**7*u**(-2/33))/(u*(u**3/u)/u)**(-30) assuming u is positive.
u**(2209/33)
Simplify (n/(n/(n/((n*n**(4/11)*n)/n))))**(-1/51)/(n**(2/21))**(6/7) assuming n is positive.
n**(-2048/27489)
Simplify (j**(-6))**(-24)/(j/j**(2/3))**(-5/2) assuming j is positive.
j**(869/6)
Simplify (h*h/(h/(h**(6/5)*h)))**23*(h/(h*h**22)*h)/h*h**(-1/4) assuming h is positive.
h**(1027/20)
Simplify n*n*n/(n/(n/n**(3/4)))*n**(-31)*n**(-18)/n**(-2/45) assuming n is positive.
n**(-8407/180)
Simplify (r**(-15)/r**(-1/15))/(r*(r*r/r**(-4/11))/r*r**(-10)/r) assuming r is positive.
r**(-1039/165)
Simplify (((h**(1/4)*h)/h*h*((h**(-3)/h)/h*h)/h)/(h**6*h**2*h))**(-6) assuming h is positive.
h**(153/2)
Simplify s/(s/s**22)*s**25/s*(s*s*s/(s*s*s**(2/29)*s)*s)**49 assuming s is positive.
s**(2657/29)
Simplify ((k/(k*k**20/k))/(k/(k/k**(-3/11))))/(k**17*k*k*k*k**10/k) assuming k is positive.
k**(-525/11)
Simplify ((i**2/i)/i*i/(i*i**(-2/19)*i))/(i**0/i)**44 assuming i is positive.
i**(819/19)
Simplify (a**(1/4))**47/(a/a**7*a*a/(a**0/a)) assuming a is positive.
a**(59/4)
Simplify (t**14*t**(-6))/(t**6*t**10) assuming t is positive.
t**(-8)
Simplify (n**3*n*n/n**(2/5))**(-12) assuming n is positive.
n**(-276/5)
Simplify ((o/o**(-3/5)*o)/o**(-10/7))/((o/(o*o**1))/o)**(1/60) assuming o is positive.
o**(853/210)
Simplify n**(-3/8)*n*n*n**(1/4)*n**14*n**(-3/11)*n assuming n is positive.
n**(1461/88)
Simplify (k**(1/7))**(12/11)/(k/(k**(1/3)*k))**11 assuming k is positive.
k**(883/231)
Simplify ((y**(-6/5)/y)/y*y)**9*y**(-7)*y**3 assuming y is positive.
y**(-119/5)
Simplify (k**(-28)/k**(-28))/(((k/k**21)/k)/(k**(-3/11)*k)) assuming k is positive.
k**(239/11)
Simplify ((v/(v/(v*v/(v/(v*v/(v/(v*(v*v**25)/v*v*v)*v)*v*v))*v)))/(((v**1/v)/v)/v))/((v*v**(2/9))/v*v**(5/11)) assuming v is positive.
v**(3299/99)
Simplify ((u/(u**(-5)*u))/u)**10*(u**(2/7))**(-2/5) assuming u is positive.
u**(1396/35)
Simplify (h**(-2/7)/h)**(18/5)/(h**12*h*h*h**2*h*h) assuming h is positive.
h**(-792/35)
Simplify (u*u**(1/4))**(-44)*(u**4/u*u)**(1/22) assuming u is positive.
u**(-603/11)
Simplify (v**1*v**10*v*v**(-3/2)*v/(v**(2/3)/v))**(-21/4) assuming v is positive.
v**(-497/8)
Simplify (d*((d*d/d**(-1))/d*d*d)/d)**42*(d/(((d*(d/((d**(7/4)*d)/d))/d*d)/d*d)/d))/(d*d**(2/51)) assuming d is positive.
d**(34417/204)
Simplify ((j/(j*j*j**(15/4)*j))/(j*j**(-7/2)))**(2/7) assuming j is positive.
j**(-13/14)
Simplify ((b*b*b**0*b)/b)**(2/23)/(b/b**(7/3)*(b/b**(2/3))/b) assuming b is positive.
b**(50/23)
Simplify ((x**(-1/6)/(x/(x*x**(-1/3)*x*x)))**(-48))**(3/38) assuming x is positive.
x**(-108/19)
Simplify (s*s**(2/11))/((s/(s*s*s**10))/s)*(s/((s/(s**2/s))/s))**(-47) assuming s is positive.
s**(-889/11)
Simplify r/(r*r**(-6))*r*r*r**(-4/9)*(r/(r*r**(-11)))/(r**(1/22)*r) assuming r is positive.
r**(3467/198)
Simplify (o/o**(-9/4)*(o/((o*o/(o*o*o*o*o**(-9/4))*o)/o)*o)/o)/((o*o*o**1/o)/o**3) assuming o is positive.
o**5
Simplify (((l*l**(-2/29))/l)/l**(-15/4))/(l**(2/61)*l**(-4/5)/l*l) assuming l is positive.
l**(157379/35380)
Simplify (x*x**(-2/19)*x*(x*x**(-1/2)*x)/x)/((x/(x**(2/9)/x))/x)**5 assuming x is positive.
x**(-511/342)
Simplify (((x/x**(-15)*x)**(-22))**25)**(-19) assuming x is positive.
x**177650
Simplify ((b**(1/9)*b**(1/6))**(8/5))**8 assuming b is positive.
b**(32/9)
Simplify (q/q**(-14))/(q/q**(-27))*(q/((q/(q/q**(-1/8)))/q))/q*q**17*q assuming q is positive.
q**(49/8)
Simplify ((h**7/(h/h**(-6/7)*h))**(-2/3))**(-1/2) assuming h is positive.
h**(29/21)
Simplify ((w**(-2/3))**(-34)*(w*w/(w/(w/w**(-1/2)))*w)**(4/25))**8 assuming w is positive.
w**(13936/75)
Simplify ((j/(j*j**1)*j)**(-3/7)*j/((j**(-4/5)*j)/j)*j**0/j)**(2/15) assuming j is positive.
j**(8/75)
Simplify (w**(-5/3)/w**(1/19))/(w/((w**(-11)*w)/w)*w/w**8) assuming w is positive.
w**(-383/57)
Simplify (((s/(s**(-2/27)/s))/s)/s**(-1/5))/(s**(1/14)/(s**(2/31)/s)) assuming s is positive.
s**(15653/58590)
Simplify (((v**(-1/6)/v)/v)/v*v/v**4*v)/((v**10*v)/v**(-1/4)) assuming v is positive.
v**(-197/12)
Simplify (((v*(v/v**(1/5))/v)/v)/(v**(1/13)*v))/((v*v*v**(2/5))/v*v/(v/(v/(v*v*(v*v**3*v)/v*v)))*v) assuming v is positive.
v**(151/65)
Simplify (((g/(g/(g/(g*(g/(g*g*g**6))/g*g))))/g)/g**(-2/9)*g/((g/g**4)/g)*(g*g**4/g)/g)**50 assuming g is positive.
g**(6400/9)
Simplify x/(x*x**2)*x*x*x*x**(4/3)*x**(-2/7)/x**(-7) assuming x is positive.
x**(190/21)
Simplify (l/(l**(-5)*l)*l**10)/(((l*l/l**4*l*l)/l)/l)**(-6) assuming l is positive.
l**3
Simplify (l/((l*l**(1/10)/l)/l))/((l*l*l/(l/(l/(l**11*l*l))))/l*l)*l**6/(l**(-1/5)/l) assuming l is positive.
l**(191/10)
Simplify (z/(z*(z**(1/10)*z*z)/z))/z*z*z**(-2/3)*z*z**(-4/11)*z*z*z**(-9) assuming z is positive.
z**(-2683/330)
Simplify (k**(-4/11))**(-7)*((k*k/k**(-3/19)*k*k)/k)/(k**(4/23)*k*k) assuming k is positive.
k**(16966/4807)
Simplify (n/((n*n**(-7/2)/n)/n)*n*n/(n/(n*n**(11/4)))*n*n)**5 assuming n is positive.
n**(245/4)
Simplify (((x*x**14)/((x*x/((((x/(x**(-3/5)*x))/x*x)/x*x)/x)*x)/x))**(-48))**(-41) assuming x is positive.
x**(123984/5)
Simplify ((h/(h*h**1))**(-14/3)/(h**(-3)*h/(h*h/h**(-3/4))))**47 assuming h is positive.
h**(5311/12)
Simplify ((k/(k/(k*k*k**(-10))*k)*k)/k)**(-2/107)*(k/k**(-1/5))/k**(-5) assuming k is positive.
k**(3407/535)
Simplify ((w**(-2/3))**(-9)/((w*(w**5*w)/w*w)/(w*w*w*w/(w*w/(w*w*w**1)))))**(-30) assuming w is positive.
w**(-120)
Simplify (w**34*w**(-5/13))**(-4/21) assuming w is positive.
w**(-1748/273)
Simplify (b**(-2))**(-8/9)/((b/(b/b**5*b))/(b/(b/((b/(b*b**12))/b)))) assuming b is positive.
b**(-137/9)
Simplify (((q/q**(-1/14))/(q | {
"pile_set_name": "DM Mathematics"
} |
k**2 - 190*b**3*g*k**2 + 2*b**2*g**2 - b**2*g*k**2 + b*g**2*k**2 + 1192*b*g*k - 2*g**2*k**2 - 38*k wrt b.
-17004*g**2*k**2 - 1140*g*k**2
Find the second derivative of 3*b**4 + 31*b**3 + 1072*b**2 + 3635776*b wrt b.
36*b**2 + 186*b + 2144
What is the third derivative of -l**6 - 178*l**5 - l**3 + 19*l**2 + 968?
-120*l**3 - 10680*l**2 - 6
What is the first derivative of -2*q*v*z + q*v - 332*q*z + 4*q - v*z + 256*v - z wrt v?
-2*q*z + q - z + 256
Find the second derivative of 76137*i**2*s*w - 2*i**2*s + 2*i**2 + 2*i*s*w + 471*i*s + 33*w wrt i.
152274*s*w - 4*s + 4
Find the third derivative of 10955*t**4 - 4*t**3 - 160*t**2 - 373*t wrt t.
262920*t - 24
Find the third derivative of 4654*o**3*p*w + 3*o**3*p - 2*o**3*w**2 - 3*o**2*p*w**2 - 174*o**2*w - 2*o**2 - 2*o*p*w**2 - 64*p*w**2 wrt o.
27924*p*w + 18*p - 12*w**2
Find the second derivative of 4*c**4 + 6*c**2*g*n - 53*c**2*n + 2*c*g*n + 2*c*g - 247*g*n + 3*n wrt c.
48*c**2 + 12*g*n - 106*n
What is the second derivative of -2417917*d**5 + 2979365*d?
-48358340*d**3
Find the third derivative of -6*d**6 - 927*d**5 - 3*d**4 + 58057*d**2 wrt d.
-720*d**3 - 55620*d**2 - 72*d
What is the third derivative of 531*p**3*x**4 + 20*p**3*x**3 + 2*p**3*x**2 - 11918*p**3 wrt x?
12744*p**3*x + 120*p**3
Find the third derivative of 15*i**4 + 12614*i**3 - 105868*i**2.
360*i + 75684
What is the third derivative of 3*m*r**2*w**3 - m*r**2*w**2 - 7*m*r**2 - 689*m*r*w**3 + 471*r**2 + w**3 wrt w?
18*m*r**2 - 4134*m*r + 6
What is the second derivative of -85*i**3*v**2 - 45*i**3*v + 54116*i*v**2 wrt i?
-510*i*v**2 - 270*i*v
What is the second derivative of 358237*r**3 + r - 172446 wrt r?
2149422*r
Find the third derivative of -89668*d**6 - 29*d**2 - 2*d - 3796.
-10760160*d**3
What is the second derivative of 2*f**2*o + 546*f**2 + 7*f*o + 55*f - 5*o wrt f?
4*o + 1092
Find the third derivative of -5*a*c**3*i - 41*a*c**2*i**2 + 11*a*c**2*i - 2*a*i**2 - 1215*c**3*i**2 + 2*i**2 wrt c.
-30*a*i - 7290*i**2
What is the third derivative of 61*b**5 - 3*b**4 + 27*b**2 - 44*b - 1 wrt b?
3660*b**2 - 72*b
Differentiate -t**3 - 8916*t**2 + 20676 wrt t.
-3*t**2 - 17832*t
What is the second derivative of -2*a*w**3 - 74*a*w**2 - 2*a*w - 22*a - 6*w**3 - 2*w**2 - 111 wrt w?
-12*a*w - 148*a - 36*w - 4
Find the first derivative of -2247968*f**2 - 5800682.
-4495936*f
Find the third derivative of -9*b**5 + 218*b**4 + 22*b**3 + 737923*b**2 wrt b.
-540*b**2 + 5232*b + 132
What is the derivative of -17*b*i - 31457*b*o**3 - 48*i*o + 29*o**3 - 64*o**2 + 2*o - 1 wrt b?
-17*i - 31457*o**3
What is the derivative of -3611*g**2 + 28*g + 113193?
-7222*g + 28
Find the third derivative of 35*r**6 - r**4 + 4*r**3 - 184025*r**2.
4200*r**3 - 24*r + 24
Find the third derivative of 361251*a*k**4 - a*k**2 - 125*a - 30*k**2 + 2*k - 10 wrt k.
8670024*a*k
Find the second derivative of -33*i**2*s**2 + 74*i**2*s + 2*i**2 + 5*i*s**2 - 2*i*s - 26*i + 9*s**2 wrt i.
-66*s**2 + 148*s + 4
What is the derivative of 5*s**4 + 883*s**3 + s**2 + 3*s + 67941 wrt s?
20*s**3 + 2649*s**2 + 2*s + 3
What is the first derivative of -165*b**2 - 452*b + 1208932 wrt b?
-330*b - 452
What is the third derivative of 13704*q**5 - 2*q**3 + 127293*q**2?
822240*q**2 - 12
What is the second derivative of 888582*r**4 - 2*r + 164207 wrt r?
10662984*r**2
Find the second derivative of 2*g**3 - 13058*g**2 - 12192*g + 2 wrt g.
12*g - 26116
What is the third derivative of -428*c**2*n**3 - c**2*n + 23*c*n**2 + 15*c*n - 10*n**3 - 70*n**2 - n wrt n?
-2568*c**2 - 60
What is the first derivative of -42496*k*s**2 - 41426*k wrt s?
-84992*k*s
Differentiate -102*t**4*v**2 + 520*t*v**2 + 1422769*v**2 with respect to t.
-408*t**3*v**2 + 520*v**2
Find the third derivative of -11929*x**3 + 1726*x**2 - 22*x wrt x.
-71574
Differentiate 27*f**3*k**2 + 19*f*k - 4*f + k**2 - 2166*k + 2 wrt f.
81*f**2*k**2 + 19*k - 4
What is the derivative of 66*q**2*r + 31854*q**2 - 11*q*r + 2*q - 528*r - 9 wrt r?
66*q**2 - 11*q - 528
Find the third derivative of 5*c*f**4 - 10*c*f**3 - 2*c*f**2 - 14*c - f**4 - 5*f**3 - 52*f**2 - 1 wrt f.
120*c*f - 60*c - 24*f - 30
Find the first derivative of 54919*l + 104152 wrt l.
54919
What is the third derivative of 3*c**5 + 851*c**4 + 7*c**3 - 3696239*c**2 wrt c?
180*c**2 + 20424*c + 42
What is the third derivative of -5711137*a**3 + 389045*a**2?
-34266822
Find the first derivative of 170668*v - 111549.
170668
What is the second derivative of -p*u**3 + p*u**2 - 2*p*u + p - 162*u**3 + 26*u**2 + 6*u - 1976 wrt u?
-6*p*u + 2*p - 972*u + 52
What is the derivative of 371*q**2*r**3*s - 2*q**2*r**3 - 22*q*s - 4*r**3 - 148755*s wrt q?
742*q*r**3*s - 4*q*r**3 - 22*s
Find the first derivative of -5*p**2 - 188244*p - 4066186.
-10*p - 188244
What is the second derivative of j**5 - 33*j**4 + 4691*j**3 - 2*j + 2003415?
20*j**3 - 396*j**2 + 28146*j
Differentiate -108*c**2*i**3 + c**2*i**2 + 148*c + 451*i**3 - 122 wrt c.
-216*c*i**3 + 2*c*i**2 + 148
Find the second derivative of 250019*t**2 + 133630*t wrt t.
500038
Find the second derivative of -36*p**3*u**2*w - p**3 - 130*p*u**2*w - 4*p*u*w - 600*p*w + u**2 wrt u.
-72*p**3*w - 260*p*w + 2
Find the second derivative of a*j*t*z - 51*a*j*z + 305*a*t**2*z + 4*a*t + 1635*j*t**2 - 2*j*t + 15*j + 15*t*z wrt t.
610*a*z + 3270*j
What is the first derivative of 84720*d**2*w - 117*d**2 - 114*d wrt w?
84720*d**2
Find the second derivative of -76*g**2*n**3 + g**2*n**2 - 77*g**2*n + 38938*g*n**3 + g*n wrt g.
-152*n**3 + 2*n**2 - 154*n
Find the third derivative of 2*d**6*l**3 - 107427*d**3*l*s + 4*d**2*l**3 + d**2*l**2 - 66*d**2 - l**2 + 2*s wrt d.
240*d**3*l**3 - 644562*l*s
What is the third derivative of 51828*h*s**3*y**3 - h*s**2*y**2 + 79*h*s*y**3 - 4*h*y**3 - 8*s**2*y**2 wrt s?
310968*h*y**3
What is the third derivative of 101799*q**3*x**3 - 109675*q**3*x**2 - 2*x**5 wrt x?
610794*q**3 - 120*x**2
Find the second derivative of -h**3 + 14659*h**2 + 8071*h - 9 wrt h.
-6*h + 29318
Differentiate 5*r**2*w - 2*r**2*y - 71720*r*w*y + 38599*r*y + w**3 with respect to w.
5*r**2 - 71720*r*y + 3*w**2
Find the third derivative of -3852834*z**6 + 411358*z**2.
-462340080*z**3
Find the third derivative of -15482*y**3 - 282*y**2 + 13*y + 2 wrt y.
-92892
What is the derivative of 1334810*a - 1920032?
1334810
Find the third derivative of 7*s**3*x**2 + 1340*s**3 - 2*s**2*x**2 - 93*s**2 + 32*s*x**2 - 4*x wrt s.
42*x**2 + 8040
What is the third derivative of -2408401*d**4 - 3782153*d**2 wrt d?
-57801624*d
Find the third derivative of -141871*a**3 - 415599*a**2.
-851226
Find the second derivative of 26696*r*x**2 + r*x - 1956*x wrt x.
53392*r
What is the second derivative of -27*h**4 + 49*h**3 - 3*h**2 + 42172*h?
-324*h**2 + 294*h - 6
Find the second derivative of 130*p*v**3 + 6*p*v**2 + 40235*p*v + 2*v**2 wrt v.
780*p*v + 12*p + 4
What is the second derivative of s**2*t**4 + 3*s**2 + 2766*s*t - 5671*t**5 wrt t?
12*s**2*t**2 - 113420*t**3
What is the second derivative of 36*m**3*o + 318*m**2*o**2 + 2860*m*o**2 + 3*m*o wrt m?
216*m*o + 636*o**2
What is the derivative of 4*h**3*v - 5913*h*v + 10510*v wrt h?
12*h**2*v - 5913*v
What is the derivative of -2*j*k**2*w**2 + 9515*j*k**2*w - 3032*k**2*w**2 - 4*w**2 wrt j?
-2*k**2*w**2 + 9515*k**2*w
Find the second derivative of 101*x**5 - 5*x**4 - 4*x**3 - x**2 - 124435*x.
2020*x**3 - 60*x**2 - 24*x - 2
Differentiate -3*b**3*k - b**2*k**2 + 43724*b*k + 28865*k**2 with respect to b.
-9*b**2*k - 2*b*k**2 + 43724*k
Find the third derivative of 8*c**3*j*v + 3162*c**3*j - 2*c**3*v - 7*c**2*j*v - 26*c**2*j + 253*c*j*v + c*v wrt c.
48*j*v + 18972*j - 12*v
What is the second derivative of 2383572*l**5 - 46049*l - 9?
47671440*l**3
What is the first derivative of 1931*c**4 + 2*c**2*o - 79597*o wrt c?
7724*c**3 + 4*c*o
What is the first derivative of -31615*a*r**2 + 115624*r**2 wrt a?
-31615*r**2
Find the second derivative of 3745111*y**5 + 48645*y + 34 wrt y.
74902220*y**3
Find the third derivative of -2*f**3*h - 1527*f**3*j - 2*f**3 + f**2*h*j + 4*f**2*h - 1233*f**2*j - 5*f*h*j + 2*f - 2*h*j wrt f.
-12*h - 9162*j - 12
Find the third derivative of -788801*q**2*t*u**3 - 49*q**2*u**2 - q**2*u + 97*q*t*u**2 + 12*q*t - 2*q*u**2 - t*u wrt u.
-4732806*q**2*t
Find the first derivative of 27*x*z**2 + 2505*x*z - 628033*x - 2*z**2 - z wrt z.
54*x*z + 2505*x - 4*z - 1
What is t | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from yzlllvykzlzvkyvk. Give prob of sequence kvv.
3/560
What is prob of sequence rd when two letters picked without replacement from pphdpprpphr?
1/55
What is prob of sequence px when two letters picked without replacement from wccxwwwcpcxww?
1/78
What is prob of sequence gbr when three letters picked without replacement from {r: 3, g: 1, k: 2, m: 1, b: 3}?
1/80
Three letters picked without replacement from {d: 2, w: 4, p: 4, n: 1}. Give prob of sequence wpw.
8/165
Calculate prob of sequence jbj when three letters picked without replacement from {t: 1, f: 1, b: 4, n: 1, j: 2}.
1/63
Two letters picked without replacement from ryryqtii. Give prob of sequence yy.
1/28
What is prob of sequence ada when three letters picked without replacement from {a: 2, d: 2, p: 4}?
1/84
Three letters picked without replacement from {e: 2, k: 2, l: 2, x: 6}. What is prob of sequence kll?
1/330
What is prob of sequence vz when two letters picked without replacement from zzvzzzzvzzzz?
5/33
Three letters picked without replacement from guugu. What is prob of sequence uuu?
1/10
Three letters picked without replacement from aggaag. What is prob of sequence gag?
3/20
What is prob of sequence rjjr when four letters picked without replacement from {j: 4, r: 3}?
3/35
What is prob of sequence wwxw when four letters picked without replacement from {x: 1, v: 4, w: 5}?
1/84
What is prob of sequence kn when two letters picked without replacement from nozfokofooffoof?
1/210
Two letters picked without replacement from {f: 2, k: 7, p: 5, h: 5}. What is prob of sequence hk?
35/342
Calculate prob of sequence xxja when four letters picked without replacement from {n: 1, a: 8, x: 9, j: 2}.
16/1615
Calculate prob of sequence vtvt when four letters picked without replacement from {v: 10, t: 6, k: 2}.
5/136
Two letters picked without replacement from aaajjaaaajjaaaaaaaja. What is prob of sequence jj?
1/19
What is prob of sequence sd when two letters picked without replacement from sddds?
3/10
Calculate prob of sequence ll when two letters picked without replacement from kkllklkk.
3/28
Calculate prob of sequence elf when three letters picked without replacement from llljefbfrjbrble.
8/1365
Two letters picked without replacement from bbkngnn. What is prob of sequence bg?
1/21
Three letters picked without replacement from {g: 4, z: 1, k: 1, j: 4}. Give prob of sequence zjk.
1/180
Calculate prob of sequence yyyy when four letters picked without replacement from {a: 2, y: 9}.
21/55
Four letters picked without replacement from {d: 2, e: 8, q: 3, l: 7}. What is prob of sequence qeel?
49/4845
What is prob of sequence aaaj when four letters picked without replacement from {a: 7, n: 1, j: 2}?
1/12
Four letters picked without replacement from mmhhmhmhhhiaamhaich. Give prob of sequence ihhi.
7/5814
What is prob of sequence ubu when three letters picked without replacement from {b: 1, u: 2}?
1/3
Two letters picked without replacement from {h: 1, a: 1, r: 1, w: 1, x: 1}. What is prob of sequence hx?
1/20
What is prob of sequence qyx when three letters picked without replacement from {y: 2, x: 4, q: 2, r: 1}?
2/63
Calculate prob of sequence gp when two letters picked without replacement from {j: 4, s: 1, p: 4, g: 1, y: 1}.
2/55
Three letters picked without replacement from eeeeee. What is prob of sequence eee?
1
Calculate prob of sequence nc when two letters picked without replacement from cdnabnc.
2/21
Two letters picked without replacement from {v: 2, d: 2, b: 1}. Give prob of sequence bd.
1/10
Three letters picked without replacement from {y: 7, g: 3}. Give prob of sequence ygg.
7/120
What is prob of sequence rrxk when four letters picked without replacement from rxxurxkkrrux?
4/495
Three letters picked without replacement from yooyoyyyyoy. What is prob of sequence yyy?
7/33
Calculate prob of sequence weq when three letters picked without replacement from eeeeweewqweewe.
3/182
Three letters picked without replacement from uvxdxpwdwdudpd. What is prob of sequence upw?
1/273
What is prob of sequence ncqq when four letters picked without replacement from qnnnncbnnnnnbb?
0
Calculate prob of sequence qq when two letters picked without replacement from sssqssqcssssnqs.
1/35
What is prob of sequence faa when three letters picked without replacement from {a: 5, w: 1, p: 2, f: 6, o: 3}?
1/34
Three letters picked without replacement from ccffzccccccz. Give prob of sequence zfz.
1/330
Two letters picked without replacement from sgjhjjjhsjsjsjssssjj. What is prob of sequence jg?
9/380
Three letters picked without replacement from vgpipigipp. What is prob of sequence ipg?
1/30
Calculate prob of sequence uw when two letters picked without replacement from wpunw.
1/10
Three letters picked without replacement from jrzzzzjzjj. Give prob of sequence zjz.
1/9
Calculate prob of sequence jowj when four letters picked without replacement from {j: 10, w: 3, k: 3, t: 2, o: 2}.
3/646
Three letters picked without replacement from yryyrdyyerrxrrrryrx. Give prob of sequence edy.
1/969
Two letters picked without replacement from gpgjwjbb. What is prob of sequence gp?
1/28
Two letters picked without replacement from eewwqeqeeqeeq. Give prob of sequence eq.
7/39
Four letters picked without replacement from {f: 4, k: 2}. Give prob of sequence fkkf.
1/15
What is prob of sequence cmmm when four letters picked without replacement from ummuccmu?
1/140
Two letters picked without replacement from {q: 4, n: 1, p: 4, w: 2}. Give prob of sequence pq.
8/55
Two letters picked without replacement from qllqqqmqrjlmq. Give prob of sequence jl.
1/52
Two letters picked without replacement from {j: 1, d: 2, q: 2, w: 1, k: 1}. What is prob of sequence kd?
1/21
Four letters picked without replacement from jqqqqjqqqqjjqqqqqqqq. What is prob of sequence qqqj?
112/969
What is prob of sequence qi when two letters picked without replacement from {i: 6, q: 6}?
3/11
Two letters picked without replacement from lluiyfflusyl. What is prob of sequence iy?
1/66
What is prob of sequence su when two letters picked without replacement from {c: 1, u: 2, s: 2, i: 2, h: 1, d: 1}?
1/18
Three letters picked without replacement from {t: 4, s: 3}. Give prob of sequence stt.
6/35
Calculate prob of sequence qq when two letters picked without replacement from qqqqeqeq.
15/28
Four letters picked without replacement from {j: 1, v: 1, i: 2}. What is prob of sequence vjii?
1/12
Calculate prob of sequence gn when two letters picked without replacement from {c: 1, g: 4, j: 7, n: 2}.
4/91
What is prob of sequence wwt when three letters picked without replacement from {w: 7, t: 9}?
9/80
Three letters picked without replacement from blctlc. What is prob of sequence clb?
1/30
Two letters picked without replacement from {e: 4, w: 1, u: 2, i: 3, g: 1, k: 1}. Give prob of sequence ee.
1/11
Calculate prob of sequence xkk when three letters picked without replacement from {k: 2, x: 1}.
1/3
Two letters picked without replacement from zpzpz. Give prob of sequence zz.
3/10
Three letters picked without replacement from {r: 7, k: 12}. What is prob of sequence rrk?
28/323
Four letters picked without replacement from vvvmvvvvvvmmmm. What is prob of sequence vvvm?
15/143
Two letters picked without replacement from hhhhh. What is prob of sequence hh?
1
Three letters picked without replacement from {y: 2, j: 3, z: 4, r: 1}. Give prob of sequence yzr.
1/90
What is prob of sequence usvv when four letters picked without replacement from {s: 1, v: 2, p: 1, u: 6, k: 10}?
1/9690
Two letters picked without replacement from {z: 7, f: 2, e: 7, d: 3}. Give prob of sequence ff.
1/171
Three letters picked without replacement from vvbvb. Give prob of sequence vbv.
1/5
What is prob of sequence cpa when three letters picked without replacement from {p: 6, n: 2, z: 2, a: 4, b: 2, c: 1}?
1/170
Two letters picked without replacement from oookkkkoookoo. Give prob of sequence kk.
5/39
Calculate prob of sequence ys when two letters picked without replacement from jysjy.
1/10
Four letters picked without replacement from uuuuuuhuukuhkbuuhfu. Give prob of sequence bhkh.
1/7752
Calculate prob of sequence aacc when four letters picked without replacement from {c: 5, a: 5, y: 4}.
50/3003
Three letters | {
"pile_set_name": "DM Mathematics"
} |
ate v.
-2065
Find f such that -4*f**3 - 52*f**2 - 192*f - 144 = 0.
-6, -1
Suppose -3*n**5/11 - 7*n**4/11 + 31*n**3/11 + 47*n**2/11 - 96*n/11 - 36/11 = 0. What is n?
-3, -1/3, 2
Suppose 4*b**2 - 4*b - 24 = 0. Calculate b.
-2, 3
Let -12*m**5 - 9*m**4 + 51*m**3 + 36*m**2 - 12*m = 0. What is m?
-2, -1, 0, 1/4, 2
Factor 5*q**5 + 30*q**4 - 20*q**3 - 120*q**2.
5*q**2*(q - 2)*(q + 2)*(q + 6)
Solve 3*w**5/2 - 9*w**3/2 - 3*w**2 = 0 for w.
-1, 0, 2
Factor 3*q**2/8 + 75*q/8 + 9.
3*(q + 1)*(q + 24)/8
Factor 4*l**2/9 + 416*l/9 + 10816/9.
4*(l + 52)**2/9
Solve 3*v**2/5 + 318*v/5 = 0.
-106, 0
Factor -2*c**2/11 + 340*c/11 - 14450/11.
-2*(c - 85)**2/11
Find o, given that 2*o**2/15 + 428*o/15 - 86/3 = 0.
-215, 1
Factor -105*n**2 - 103*n + 2.
-(n + 1)*(105*n - 2)
Factor 4*s**3 - 476*s**2 + 12348*s + 111132.
4*(s - 63)**2*(s + 7)
Factor -13*i**3/4 + 67*i**2/4 + 17*i - 3.
-(i - 6)*(i + 1)*(13*i - 2)/4
Suppose -2*g**5 + 44*g**4 - 282*g**3 + 440*g**2 - 200*g = 0. Calculate g.
0, 1, 10
Factor -4*w**2 + 456*w.
-4*w*(w - 114)
Let 5*z**2 + 2510*z + 315005 = 0. What is z?
-251
Factor -4*a**3/5 + 171*a**2/5 + 46*a/5 - 129/5.
-(a - 43)*(a + 1)*(4*a - 3)/5
Suppose 3*a**4/8 - 21*a**3/4 + 12*a**2 + 48*a = 0. What is a?
-2, 0, 8
Let -32*t**2 + 582*t - 108 = 0. What is t?
3/16, 18
Determine f so that 2*f**5/13 - 36*f**4/13 + 218*f**3/13 - 504*f**2/13 + 392*f/13 = 0.
0, 2, 7
Determine i, given that 20*i**5 - 185*i**4 - 855*i**3 + 1845*i**2 + 6075*i - 1620 = 0.
-3, 1/4, 3, 12
What is l in 3*l**2/8 + 15*l/4 - 189 = 0?
-28, 18
Suppose 3*g**3/5 + 66*g**2/5 + 363*g/5 = 0. What is g?
-11, 0
Let 4*s**3 + 168*s**2 + 1584*s - 3872 = 0. What is s?
-22, 2
Suppose 38*v**3/11 - 916*v**2/11 + 5568*v/11 - 576/11 = 0. What is v?
2/19, 12
Factor 3*k**2 + 15*k - 312.
3*(k - 8)*(k + 13)
Suppose 2*m**5/5 + 14*m**4/5 + 8*m**3/5 - 24*m**2/5 = 0. What is m?
-6, -2, 0, 1
Find d, given that 5*d**4 - 5*d**3 - 5*d**2 + 5*d = 0.
-1, 0, 1
Factor 4*g**3 + 12*g**2 + 8*g.
4*g*(g + 1)*(g + 2)
Factor -w**3/4 - 11*w**2 + 45*w/4.
-w*(w - 1)*(w + 45)/4
Solve -3*b**5 - 9*b**4 + 39*b**3 + 45*b**2 = 0 for b.
-5, -1, 0, 3
Factor -4*n**3 + 196*n.
-4*n*(n - 7)*(n + 7)
Factor 3*q**3 + 21*q**2 + 36*q.
3*q*(q + 3)*(q + 4)
Determine j so that 3*j**2 + 90*j - 1677 = 0.
-43, 13
Let -4*d**5 + 197*d**4 - 45*d**3 - 197*d**2 + 49*d = 0. What is d?
-1, 0, 1/4, 1, 49
What is l in l**3/4 - 7*l**2/2 + 49*l/4 = 0?
0, 7
Factor -x**4/2 + 3*x**3 + 63*x**2/2 + 52*x + 24.
-(x - 12)*(x + 1)**2*(x + 4)/2
Factor 7*k**3/3 + 32*k**2 + 21*k - 26/3.
(k + 1)*(k + 13)*(7*k - 2)/3
Solve -u**2 - 149*u/7 - 6 = 0 for u.
-21, -2/7
Solve -3*k**2/2 - 27*k/2 + 33 = 0 for k.
-11, 2
Solve -15*l**4/8 + 101343*l**3/4 - 114118974*l**2 + 171361048656*l - 68526162048 = 0 for l.
2/5, 4504
Factor o**5 + 22*o**4 + 41*o**3 + 20*o**2.
o**2*(o + 1)**2*(o + 20)
Factor 2*i**4/3 - 22*i**3/3 - 32*i**2/3 + 640*i/3.
2*i*(i - 8)**2*(i + 5)/3
What is o in 2*o**3 + 164*o**2 + 1062*o + 900 = 0?
-75, -6, -1
What is m in -m**4/6 + 3*m**3 - 17*m**2/6 = 0?
0, 1, 17
Factor -27*d**3/8 + 183*d**2/8 - 15*d - 9/2.
-3*(d - 6)*(d - 1)*(9*d + 2)/8
What is z in 3*z**3/7 + 138*z**2/7 - 285*z/7 + 144/7 = 0?
-48, 1
Factor p**3 - 1062*p**2 + 2121*p - 1060.
(p - 1060)*(p - 1)**2
Let 2*a**2 + 752*a = 0. What is a?
-376, 0
Find i, given that i**5/8 + 9*i**4/8 - i**3/4 - 9*i**2/4 + i/8 + 9/8 = 0.
-9, -1, 1
Suppose -j**3/3 - 71*j**2/3 - 45*j + 69 = 0. What is j?
-69, -3, 1
Determine r so that 4*r**4 + 100*r**3 + 248*r**2 - 352*r = 0.
-22, -4, 0, 1
Solve 2*z**5 - 2*z**4 - 6*z**3 + 2*z**2 + 4*z = 0 for z.
-1, 0, 1, 2
Factor 3*w**4 - 147*w**3 + 1431*w**2 + 3315*w + 1734.
3*(w - 34)*(w - 17)*(w + 1)**2
Factor 74*c**3/5 + 8*c**2/3.
2*c**2*(111*c + 20)/15
Factor 2*q**5/7 - 194*q**4/7 + 382*q**3/7 - 190*q**2/7.
2*q**2*(q - 95)*(q - 1)**2/7
Factor -2*k**4/5 - 176*k**3/5 - 3504*k**2/5 + 16192*k/5 - 16928/5.
-2*(k - 2)**2*(k + 46)**2/5
Find x such that 2*x**5 + 156*x**4 + 3178*x**3 + 4720*x**2 - 19608*x + 11552 = 0.
-38, -4, 1
Factor -2*c**3/5 + 336*c**2/5 - 14442*c/5 + 27556/5.
-2*(c - 83)**2*(c - 2)/5
Let -y**5/6 + 43*y**4/6 - 241*y**3/3 + 199*y**2/3 + 161*y/2 - 147/2 = 0. Calculate y.
-1, 1, 21
Solve -3*a**4/10 - 4*a**3/5 - a**2/10 + 4*a/5 + 2/5 = 0.
-2, -1, -2/3, 1
Find j, given that 2*j**5/19 - 4*j**4/19 - 2*j**3/19 + 4*j**2/19 = 0.
-1, 0, 1, 2
Factor y**5/8 + 9*y**4/8 + 3*y**3/2 - 8*y**2 - 24*y - 18.
(y - 3)*(y + 2)**3*(y + 6)/8
Factor 3*q**2/4 - 201*q/4 + 99/2.
3*(q - 66)*(q - 1)/4
Factor 6*i**2/7 + 236*i/7 + 304/7.
2*(i + 38)*(3*i + 4)/7
Solve q**2/5 - 4*q/5 = 0 for q.
0, 4
Factor 3*z**2/5 - 21*z/5 - 36.
3*(z - 12)*(z + 5)/5
What is y in 2*y**5/3 - 158*y**4/3 - 322*y**3/3 - 54*y**2 = 0?
-1, 0, 81
Factor -2*s**2/7 + 512/7.
-2*(s - 16)*(s + 16)/7
Factor -3*c**2/5 + 6*c/5 + 21.
-3*(c - 7)*(c + 5)/5
Find g, given that -g**2/4 + 111*g/4 + 351/2 = 0.
-6, 117
Let 25*g**4/4 - 60*g**3 + 301*g**2/4 + 75*g/2 + 4 = 0. What is g?
-1/5, 2, 8
Suppose -6*m**3 + 310*m**2/3 - 356*m/3 + 64/3 = 0. Calculate m.
2/9, 1, 16
Factor -5*j**3 - 40*j**2 - 35*j.
-5*j*(j + 1)*(j + 7)
Determine i so that 4*i**2/3 + 140*i + 824/3 = 0.
-103, -2
Factor -2*c**2/13 - 388*c/13 - 18818/13.
-2*(c + 97)**2/13
Find o, given that -4*o**3 + 20*o**2 - 32*o + 16 = 0.
1, 2
Let -3*o**4 + 1692*o**3 + 3*o**2 - 1692*o = 0. What is o?
-1, 0, 1, 564
Factor n**4 + 1580*n**3 + 625677*n**2 + 1245042*n.
n*(n + 2)*(n + 789)**2
Find d, given that -d**5/6 + d**4 + 7*d**3/6 = 0.
-1, 0, 7
Solve 5*w**3 - 75*w**2 - 5*w + 75 = 0 for w.
-1, 1, 15
Suppose -3*o**5 - 81*o**4 + 354*o**3 - 546*o**2 + 369*o - 93 = 0. What is o?
-31, 1
Suppose -6*z**2/5 + 16*z/5 + 32/5 = 0. What is z?
-4/3, 4
Factor 8*p**3 - 5*p**2 - 51*p - 18.
(p - 3)*(p + 2)*(8*p + 3)
Let 3*g**3 + 117*g**2 + 222*g = 0. Calculate g.
-37, -2, 0
Factor 2*o**2/5 + 16*o/5 - 8.
2*(o - 2)*(o + 10)/5
Factor -2*l**3/13 + 366*l**2/13 - 726*l/13 + 362/13.
-2*(l - 181)*(l - 1)**2/13
Let -4*d**5 - 56*d**4 + 4*d**3 + 56*d**2 = 0. Calculate d.
-14, -1, 0, 1
Determine a so that 2*a**2 + 88*a + 936 = 0.
-26, -18
Factor 2*i**3/5 - 20*i**2 + 438*i/5 + 108.
2*(i - 45)*(i - 6)*(i + 1)/5
Solve 3*p**3 - 87*p**2 + 825*p - 2541 = 0 for p.
7, 11
Solve 2*h**2 - 1394*h + 1392 = 0 for h.
1, 696
Factor 2*b**5/3 - 2*b**4 + 4*b**3/3.
2*b**3*(b - 2)*(b - 1)/3
Factor -3*l**2 + 27*l - 42.
-3*(l - 7)*(l - 2)
Find o such that -38*o**4 - 262*o**3 - 124*o**2 + 472*o - 48 = 0.
-6, -2, 2/19, 1
Factor -4*i**3 + 52*i**2 + 116*i + 60.
-4*(i - 15)*(i + 1)**2
What is n in 5*n**2 - 55*n - 60 = 0?
-1, 12
Find x, given that -2*x**5/5 + 52*x**4 + 264*x**3/5 - 52*x**2 - 262*x/5 = 0.
-1, 0, 1, 131
What is v in 2*v**5 + 10*v**4/3 - 124*v**3/3 - 356*v**2/3 - 46*v + 30 = 0?
-3, -1, 1/3, 5
What is f in -f**3/7 - 202*f**2/7 - 1185*f/7 - 252 = 0?
-196, -3
Determine c so that 3*c**3 + 6*c**2 - 297*c = 0.
-11, 0, 9
Solve -5*h**2 - 240*h + 2240 = 0.
-56, 8
Solve 2*j**2 - 2688*j - 2690 = 0 for j.
-1, 1345
Find u, given that 3*u**3 + 12*u**2 - 153*u - 162 = 0.
-9, -1, 6
Determine q so that 3*q**4/5 - 36*q**3/5 - 69*q**2/5 + 414*q/5 - 312/5 = 0.
-4, 1, 2, 13
What is y in 2*y**5 + 20*y**4 - 22*y**3 = 0?
-11, 0, 1
Factor 2*f**2 + 176*f/7 + 96/7.
2*(f + 12)*(7*f + 4)/7
Factor 2*d**5/3 - 68*d**4 + 1734*d**3.
2*d**3*(d - 51)**2/3
Solve -o**2/3 - 110*o/3 + 224/3 = 0 for o.
-112, 2
Find a such that 2*a**2/13 + 384*a/13 - 386/13 = 0.
-193, 1
Suppose 2*m**2 - 1636*m - 3280 = 0. Calculate m.
-2, 820
Solve -5*z**4 - 165*z**3 - 120*z**2 + 1340*z + 1920 = 0 for z.
-32, -2, 3
Solve -3*a**2/8 - 189*a/4 - 11907/8 = 0 for a.
-63
Suppose 5*a**5 - 80*a**4 - 95*a**3 + 170*a**2 = 0. What is a?
-2, 0, 1, 17
Factor 3*n**3 + 12*n**2 - 1716*n.
3*n*(n - 22)*(n + 26)
Factor 3*u**2 + 450*u.
3*u*(u + 150)
Find w, given that w**5/3 - 10*w**4/3 - 4*w**3 + 10*w**2/3 + 11*w/3 = 0.
-1, 0, 1, 11
What is n in -3*n**2 - 399*n - 786 = 0?
-131, -2
Find r, given that 2*r**4 - 228*r**3 - 1440*r**2 - 64*r + 7680 = 0.
-4, 2, 120
Suppose -n**4/4 + 65*n**3/4 - 183*n**2/2 + 179*n - 118 = 0. What is n?
2, 59
Determine m, given that 3*m**3 - 15*m**2 + 12*m = 0.
0, 1, 4
Factor -5*a**3 + 20*a**2 + 45*a - 180.
-5*(a - 4)*(a - 3)*(a + 3)
Factor 3*z**3 + 195*z**2/4 + 423*z/2 + 1107/4.
3*(z + 3)**2*(4*z + 41)/4
Determine g, given that -5*g**4 - 72*g**3 - 93*g**2 - 26*g = 0.
-13, -1, -2/5, 0
Find a such that 4*a**5/9 | {
"pile_set_name": "DM Mathematics"
} |
(c) 0.3
c
Which is the closest to 19/7? (a) -0.2 (b) -3 (c) -17
a
What is the closest to -2 in -2/21, 4, 247, 2?
-2/21
What is the closest to 2 in 0.56, -0.03, 2/7?
0.56
What is the closest to 0.06 in 1/5, -3, 1.3?
1/5
Which is the closest to -1/5? (a) -1 (b) -0.5 (c) 6/13 (d) 0.028
d
Which is the nearest to 4? (a) 1 (b) 4 (c) -3 (d) 0.18
b
What is the nearest to 1/3 in 164, 0.4, 1/2?
0.4
What is the nearest to -78 in 0.2, -0.4, 2, -4?
-4
What is the closest to -2/3 in -0.3, 0.03, 1, -6?
-0.3
Which is the closest to 0? (a) 4 (b) 0.8 (c) -2/25 (d) 2
c
What is the closest to -4 in 1/7, -0.05, 0, -0.2?
-0.2
What is the closest to 2/71 in 0.09, -4, 5?
0.09
What is the closest to 1.7 in -4, -2/11, 0, 5/6?
5/6
What is the nearest to -8/39 in -0.3, 1, -5, -0.1?
-0.3
Which is the closest to 2/7? (a) -2 (b) -2/19 (c) 2 (d) 0.4
d
What is the closest to -7 in -1, 0.07, 0.1?
-1
What is the nearest to 0.1 in -3, 0.2, 14?
0.2
What is the closest to -2 in -7, -3, -0.3, -0.1?
-3
Which is the nearest to -0.34? (a) 4 (b) -5 (c) 0.1
c
What is the closest to -5 in -6/5, 0.4, -3, -130/7?
-3
What is the closest to 2/5 in -3/2, 5, 2/11, -6/11?
2/11
What is the closest to 0.3 in 0, -1/3, 162?
0
What is the nearest to -0.06 in 2/7, 2/17, 1/7, 0.12?
2/17
What is the nearest to 0.1 in -23, 4, 1, -4?
1
What is the closest to 75 in -1/6, -0.5, 0?
0
Which is the closest to -2/5? (a) 1/126 (b) 0.4 (c) 1
a
What is the nearest to 2 in -2, -5, 0.58?
0.58
Which is the closest to -2/7? (a) 1/3 (b) -1 (c) 2/83
c
What is the closest to 5 in 1/28, -3, 2/9?
2/9
Which is the closest to -1? (a) -9 (b) 16 (c) -2
c
Which is the closest to -0.14? (a) -0.3 (b) 0.5 (c) -5
a
What is the closest to 0.1 in -1/3, -6, 0.89?
-1/3
What is the closest to -0.1 in -0.4, 0.5, 2/13, 13?
2/13
Which is the nearest to 0.1? (a) 21 (b) -0.01 (c) 0.5
b
Which is the nearest to 2? (a) -4 (b) -1/3 (c) 9
b
Which is the nearest to 466? (a) -2 (b) 1/6 (c) -11
b
What is the nearest to 66 in 5, 0.3, 17/7?
5
What is the closest to -12 in -1, 0, 4/5?
-1
What is the closest to 0.08 in 1/4, 0.3, 13/5, 5?
1/4
What is the nearest to -2/865 in -2, -4, -1/5?
-1/5
What is the closest to -3/7 in 6, 4/7, 1/8, 1/6?
1/8
Which is the nearest to 1? (a) 25 (b) 4 (c) -0.2 (d) 1/4
d
Which is the nearest to -3? (a) -5 (b) -4/5 (c) -61
a
Which is the closest to -0.1? (a) 254 (b) -8 (c) -1 (d) 1/5
d
Which is the nearest to 0? (a) -8 (b) -4 (c) 1 (d) -5
c
What is the nearest to -1 in 2/15, 0.3, -1, 14?
-1
What is the nearest to -1 in -1/6, -8/25, 0.1, -0.4?
-0.4
What is the nearest to 1/11 in -0.5, 2, -3?
-0.5
Which is the closest to 4/7? (a) -1 (b) 3/7 (c) 5/3
b
Which is the closest to -3? (a) 0.3 (b) -0.4 (c) 14 (d) -2/3
d
Which is the nearest to 3? (a) -2/3 (b) -0.5 (c) -4.42 (d) 1
d
Which is the nearest to 1/2? (a) 2/31 (b) 0.2 (c) -5 (d) -2
b
Which is the nearest to 2/5? (a) 1/8 (b) -189/2 (c) -1
a
Which is the nearest to -0.1? (a) 1 (b) -0.1 (c) 3/4 (d) 2
b
What is the closest to -0.1 in -2/9, -5, 18, 2/31?
-2/9
What is the nearest to -1/2 in -1/11, 4/3, -2/15?
-2/15
What is the nearest to -1/2 in -2/15, -3, 20, 0.2?
-2/15
What is the nearest to 4 in -3/5, -4/9, 43, 0.3?
0.3
Which is the nearest to 2? (a) 4/9 (b) -1/15 (c) 1
c
What is the closest to -0.2 in 5, -2, -2/91, -3?
-2/91
What is the closest to -2/3 in -2, 0.5, 0.4?
0.4
What is the nearest to 0.06 in 2/9, -3, 0.3?
2/9
Which is the closest to 1/3? (a) 1 (b) 62/7 (c) -5
a
Which is the nearest to -7/3? (a) -2 (b) 0.3 (c) 2/27
a
Which is the closest to 2? (a) -1/4 (b) -0.05 (c) 3/8
c
What is the closest to -2.1 in 0.4, -2/9, 0.6?
-2/9
Which is the closest to 9? (a) 0.7 (b) -4 (c) -1 (d) -5
a
Which is the closest to 0? (a) -22.7 (b) -6 (c) 2/3 (d) 1/2
d
What is the closest to -1/6 in 0.1, 5, 4/5?
0.1
Which is the closest to 14? (a) 1/3 (b) -2/3 (c) -5 (d) 4/3
d
Which is the nearest to 2? (a) -5 (b) 2 (c) 0 (d) -229
b
What is the closest to 1 in 3, -0.4, 19, 0.07?
0.07
Which is the nearest to -1? (a) -3 (b) -4 (c) -2/147 (d) 4
c
What is the closest to 0.2 in 2, 1.7, 1, 20?
1
What is the closest to 0 in -4, -2/7, -325, 0.1?
0.1
What is the closest to 0.1 in 1, 7/5, 3, 0?
0
Which is the closest to -1? (a) -0.1 (b) -0.063 (c) -3 (d) 1/3
a
Which is the nearest to 2/13? (a) 0.02 (b) 5 (c) -2/9
a
Which is the nearest to 0.047? (a) 1/9 (b) -3/2 (c) 4/7
a
What is the closest to 1 in -1.1, 0, -0.5, 0.4?
0.4
What is the nearest to -1 in -0.2, 3, 0.2, 2/3?
-0.2
What is the nearest to -2/9 in 0.2, 0.1, 2, -19/4?
0.1
What is the closest to -1/3 in 0, 4/7, 8, 1?
0
What is the closest to 0.1 in -2, 0.3, -0.3, -6?
0.3
What is the nearest to -1/3 in -0.2, -0.3, -2/29, -2?
-0.3
Which is the nearest to -51? (a) 0.5 (b) -9 (c) -4
b
Which is the nearest to -1? (a) -2/5 (b) 1 (c) -1/7
a
Which is the nearest to -5? (a) 0 (b) 0.07 (c) 2/3 (d) -15
a
What is the closest to -0.1 in -1/2949, -1, 1?
-1/2949
Which is the closest to 1? (a) 0.19 (b) 3/8 (c) 2/3
c
Which is the nearest to 0? (a) -4 (b) -889 (c) -1
c
What is the closest to -1 in -1, 4, 6, -2?
-1
What is the closest to 0.2 in -10, 0, 1, -0.3?
0
What is the nearest to -22 in 35/4, -1, 4?
-1
Which is the nearest to -5? (a) 0.6 (b) 0.1 (c) -0.04
c
What is the nearest to -2 in 4/7, 1.2, 1?
4/7
Which is the closest to 1/4? (a) 4 (b) -13/12 (c) 1/4
c
What is the nearest to 0 in -0.2, -2/161, -3/5?
-2/161
What is the closest to -38 in 10/3, -0.4, -3/2, 5?
-3/2
Which is the nearest to 3/10? (a) 0.094 (b) -1 (c) -1/5
a
Which is the closest to 3/7? (a) -1/6 (b) -1/4 (c) 5 (d) 1/11
d
Which is the closest to -19? (a) -2 (b) 2/9 (c) -4
c
Which is the closest to 3/14? (a) -10 (b) -8 (c) -5
c
Which is the closest to 0.08? (a) 0.31 (b) 1 (c) 7
a
Which is the nearest to -0.2? (a) -1/4 (b) -2/3 (c) 2/5 (d) 3/5
a
What is the nearest to 1/3 in -1.7, 0, -3, -2/7?
0
Which is the nearest to 9? (a) 0.4 (b) 3 (c) -4/7
b
What is the closest to 9 in -4, -2, 1/6, 3/8?
3/8
What is the nearest to -6/11 in -0.1, -1, -0.3, 4?
-0.3
What is the nearest to 123 in 3/5, -5, -1/5?
3/5
What is the closest to 0 in -1/4, -4, 1, -5?
-1/4
What is the nearest to 1 in 7, -4/9, 0.358, -0.5?
0.358
Which is the nearest to 0? (a) 3/4 (b) -0.008 (c) -2/11
b
What is the nearest to -1 in 3, -1, -2/9, 0.5?
-1
Which is the closest to 3? (a) 30/23 (b) 2/3 (c) 0.04 (d) 1/2
a
Which is the closest to -1/3? (a) 0.5 (b) -5 (c) 0.044 (d) -4
c
Which is the closest to -0.1? (a) -0.4 (b) 2 (c) 1/4 (d) -140
a
What is the nearest to 4 in 3, 2/19, 1/5?
3
What is the closest to 0 in -5, -5474, -4?
-4
What is the nearest to 0 in -2/3, -1/39, -3, -1/7?
-1/39
What is the closest to 1 in 5, -5, 0.4, 2?
0.4
What is the closest to -6/5 in 3/2, 0.5, 0.05, 0.3?
0.05
What is the closest to 1 in -0.4, -0.2, -2, 11?
-0.2
Which is the closest to -1? (a) 7 (b) 5 (c) -5 (d) 4
c
What is the nearest to -12 in -4/5, -2/5, -0.03, -3/8?
-4/5
Which is the closest to 2/9? (a) -0.1 (b) 1 (c) 4/7 (d) -2/3
a
What is the nearest to 12 in -1/2, 7, 0.5, 0.2?
7
Which is the closest to 0? (a) 0 (b) 1.2 (c) 1 (d) -12
a
What is the nearest to -8 in 1/3, -1, 4?
-1
What is the closest to 34 in 2, -6, -2/5?
2
Which is the nearest to -2/9? (a) -4 (b) -0.3 (c) 3 (d) -7
b
Which is the nearest to 2.2? (a) -4 (b) -3 (c) -1 (d) -2
c
Which is the nearest to 1/2? (a) -15.6 (b) -2/17 (c) 2/5
c
Which is the closest to -0.2? (a) -5 (b) 2 (c) 1/493
c
What is the closest to -57 in 2/3, -5, -1, 0.3?
-5
What is the nearest to -3/2 in 0.7, -5, 0.03, -3/5?
-3/5
Which is the nearest to -1? (a) 281 (b) 1 (c) 2
b
Which is the closest to -2? (a) 1/6 (b) 1.7 (c) -0.4 (d) -33
c
What is the nearest to 2 in -0.5, 3/7, -2/13?
3/7
What is the closest to -1/3 in -0.05, -0.5, -3/7, -4?
-3/7
Which is the nearest to -2/111? (a) -1 (b) 3 (c) -0.1 (d) -0.5
c
What is the closest to -1.9 in -5, 2/605, -3?
-3
What is the nearest to 2 in -0.2, 44, -0.4?
-0.2
Which is the closest to 3? (a) -3/5 (b) 7/2 (c) -0.2
b
Which is the nearest to 2? (a) -0.3 (b) 34 (c) -3/4 (d) -0.4
a
Which is the nearest to 2/9? (a) -1050 (b) 0.5 (c) -1
b
What is the closest to 3 | {
"pile_set_name": "DM Mathematics"
} |
is 5.10752 rounded to 0 dps?
5
What is 0.6256 rounded to 1 dp?
0.6
What is 0.00566364 rounded to four decimal places?
0.0057
Round 15.1 to 1 decimal place.
15.1
What is 1411000 rounded to the nearest one hundred thousand?
1400000
Round -349800 to the nearest ten thousand.
-350000
What is -1.4247 rounded to one decimal place?
-1.4
What is -3093 rounded to the nearest one hundred?
-3100
Round 0.00614 to four dps.
0.0061
Round 0.077695 to two dps.
0.08
What is -10709 rounded to the nearest 10000?
-10000
Round 0.032163 to four dps.
0.0322
What is 730.72 rounded to the nearest 100?
700
What is -0.0000644 rounded to five decimal places?
-0.00006
Round -8000000 to the nearest one hundred thousand.
-8000000
What is -70941 rounded to the nearest one thousand?
-71000
Round 563.627 to the nearest integer.
564
What is -901 rounded to the nearest one hundred?
-900
Round -4599000 to the nearest one million.
-5000000
Round -15193 to the nearest 100.
-15200
Round 0.004327 to 3 dps.
0.004
What is 5730 rounded to the nearest ten thousand?
10000
Round -2.467 to one dp.
-2.5
Round 360.74 to the nearest one hundred.
400
What is 12418000 rounded to the nearest one hundred thousand?
12400000
Round -0.017275 to 3 decimal places.
-0.017
Round 0.000004566 to seven decimal places.
0.0000046
Round -0.00143 to 3 decimal places.
-0.001
What is -0.00097574 rounded to 4 decimal places?
-0.001
What is -0.187 rounded to one dp?
-0.2
Round 1.0707 to one dp.
1.1
What is 183.57 rounded to the nearest 10?
180
Round -173850000 to the nearest 1000000.
-174000000
Round -0.000032307 to 6 dps.
-0.000032
Round 1086 to the nearest 10.
1090
Round -0.000024297 to six dps.
-0.000024
What is 0.119 rounded to 2 decimal places?
0.12
Round 0.00001927 to 7 decimal places.
0.0000193
Round -0.00006407 to 5 decimal places.
-0.00006
Round 0.00000117488 to 7 dps.
0.0000012
Round -0.0002373 to 6 decimal places.
-0.000237
Round 0.28484 to two decimal places.
0.28
Round -0.000001063 to seven dps.
-0.0000011
What is -2250 rounded to the nearest 1000?
-2000
Round 4.51 to one decimal place.
4.5
What is 8288 rounded to the nearest one thousand?
8000
What is 43090000 rounded to the nearest one million?
43000000
What is -0.00011117 rounded to 6 dps?
-0.000111
What is 14.672 rounded to zero decimal places?
15
What is -0.04871 rounded to three decimal places?
-0.049
What is -483960 rounded to the nearest one thousand?
-484000
Round 7.75 to 0 decimal places.
8
Round -4241000 to the nearest 100000.
-4200000
What is 12755 rounded to the nearest 100?
12800
What is 0.000337878 rounded to six dps?
0.000338
Round 0.00000041 to seven decimal places.
0.0000004
Round 0.0000005504 to seven dps.
0.0000006
Round 0.00483 to 4 decimal places.
0.0048
Round -1856.5 to the nearest 10.
-1860
Round -0.0079251 to 2 dps.
-0.01
What is 134730 rounded to the nearest ten thousand?
130000
What is -0.00031876 rounded to 5 dps?
-0.00032
Round 10492200 to the nearest 100000.
10500000
What is 8888000 rounded to the nearest one hundred thousand?
8900000
Round 2636160 to the nearest one hundred thousand.
2600000
What is -31.618 rounded to the nearest integer?
-32
Round -5168100 to the nearest 100000.
-5200000
What is 0.279133 rounded to 3 dps?
0.279
What is -0.0000050039 rounded to seven dps?
-0.000005
Round -28302 to the nearest one hundred.
-28300
Round 44.6 to the nearest one hundred.
0
Round 0.0096909 to five dps.
0.00969
What is 757040000 rounded to the nearest 1000000?
757000000
What is -0.017 rounded to four dps?
-0.017
What is 0.0000006973 rounded to seven dps?
0.0000007
Round -0.0025969 to 5 decimal places.
-0.0026
Round 26190000 to the nearest one million.
26000000
What is -492830 rounded to the nearest 100000?
-500000
What is -4930 rounded to the nearest one thousand?
-5000
What is -1385.36 rounded to the nearest ten?
-1390
Round 1609000 to the nearest 10000.
1610000
What is 5.185 rounded to the nearest integer?
5
What is 0.010726 rounded to three decimal places?
0.011
What is -2.4832 rounded to 1 dp?
-2.5
What is -103720 rounded to the nearest one thousand?
-104000
What is -0.04272 rounded to three decimal places?
-0.043
Round -4.3882 to two dps.
-4.39
What is 0.00004746 rounded to 5 dps?
0.00005
Round -174.6 to the nearest 10.
-170
What is -0.0000863 rounded to 5 dps?
-0.00009
Round -0.006 to one decimal place.
0
What is -0.007925 rounded to 3 decimal places?
-0.008
What is -891250 rounded to the nearest 100000?
-900000
What is -0.0002801 rounded to 5 dps?
-0.00028
What is 104.745 rounded to zero decimal places?
105
Round 22540000 to the nearest one million.
23000000
What is 9100000 rounded to the nearest 1000000?
9000000
What is 30600 rounded to the nearest 10000?
30000
What is -8940000 rounded to the nearest 100000?
-8900000
Round 20469.9 to the nearest one thousand.
20000
What is 5.006 rounded to 0 dps?
5
Round 3500 to the nearest 1000.
4000
What is -0.0731 rounded to three dps?
-0.073
What is 0.0001 rounded to 5 decimal places?
0.0001
What is 92884 rounded to the nearest 10000?
90000
What is 0.0000523 rounded to five decimal places?
0.00005
What is 93.9 rounded to 0 decimal places?
94
Round 2001000 to the nearest one million.
2000000
Round -4764000 to the nearest 100000.
-4800000
Round 0.00001334 to 6 decimal places.
0.000013
What is 0.00001331 rounded to six dps?
0.000013
Round -0.0000261 to five dps.
-0.00003
Round 0.769 to 1 decimal place.
0.8
What is 0.01756 rounded to 3 dps?
0.018
Round -1.1008 to 1 decimal place.
-1.1
What is 22795000 rounded to the nearest one hundred thousand?
22800000
Round 55600 to the nearest 10000.
60000
Round 2686000 to the nearest one hundred thousand.
2700000
What is -235.43 rounded to the nearest 10?
-240
What is -108.07 rounded to the nearest ten?
-110
Round 0.00000025337 to seven dps.
0.0000003
What is -103.73 rounded to the nearest ten?
-100
What is 191270000 rounded to the nearest one million?
191000000
What is -6090.3 rounded to the nearest 1000?
-6000
What is -0.812 rounded to 1 decimal place?
-0.8
What is 0.0004586 rounded to four decimal places?
0.0005
Round -106.21 to the nearest 10.
-110
What is 7740 rounded to the nearest one thousand?
8000
Round 13499000 to the nearest 1000000.
13000000
What is -216.7 rounded to the nearest 1000?
0
Round 89510 to the nearest 10000.
90000
What is 4383900 rounded to the nearest 1000000?
4000000
Round 0.00088773 to 4 decimal places.
0.0009
What is -5190000 rounded to the nearest one hundred thousand?
-5200000
What is -0.00013646 rounded to 6 dps?
-0.000136
Round 133.1 to the nearest 10.
130
What is -0.00001728 rounded to six decimal places?
-0.000017
What is -2613 rounded to the nearest one thousand?
-3000
What is 527100 rounded to the nearest one hundred thousand?
500000
Round -15220 to the nearest ten thousand.
-20000
What is 0.002063 rounded to 3 dps?
0.002
Round -0.0000002752 to 7 dps.
-0.0000003
Round -0.00005134 to 5 dps.
-0.00005
Round -9610 to the nearest one thousand.
-10000
Round -40400 to the nearest 10000.
-40000
Round 175150000 to the nearest 1000000.
175000000
What is -10414.5 rounded to the nearest one thousand?
-10000
What is -0.01797 rounded to 4 decimal places?
-0.018
What is 4620000 rounded to the nearest one million?
5000000
What is -1.6825 rounded to 1 dp?
-1.7
What is 1393.9 rounded to the nearest one thousand?
1000
Round 57900 to the nearest ten thousand.
60000
Round -0.0000366171 to six decimal places.
-0.000037
Round 0.00024448 to 6 dps.
0.000244
What is 1.0884 rounded to two dps?
1.09
What is 1001500 rounded to the nearest 100000?
1000000
What is 37.37 rounded to the nearest ten?
40
What is -144878000 rounded to the nearest 1000000?
-145000000
Round -0.024754 to four decimal places.
-0.0248
What is -0.0086326 rounded to four dps?
-0.0086
Round -67.8 to the nearest integer.
-68
What is -9541000 rounded to the nearest one million?
-10000000
What is 0.000113 rounded to four decimal places?
0.0001
Round -26.279 to the nearest integer.
-26
What is -79649000 rounded to the nearest 1000000?
-80000000
What is 0.0050879 rounded to 5 dps?
0.00509
What is -0.062 rounded to 0 decimal places?
0
What is -570 rounded to the nearest one hundred?
-600
What is 1419.4 rounded to the nearest one hundred?
1400
Round -142140 to the nearest te | {
"pile_set_name": "DM Mathematics"
} |
-452 + 694. Is z a multiple of 11?
True
Suppose -2117 = -12*i - 665. Does 29 divide i?
False
Let l(q) = 17*q + 7. Let t(j) = 2*j - 8. Let r(s) = s - 1. Let d(x) = 12*r(x) - 2*t(x). Let n(i) = -7*d(i) + 3*l(i). Is n(-5) a multiple of 10?
False
Let t(b) = -74*b - 1040. Is 7 a factor of t(-15)?
True
Does 20 divide ((-28)/16 - 6)*-160?
True
Let f(a) = -2*a**3 - 11*a**2 - 4*a + 15. Suppose 3 + 4 = -c. Is f(c) a multiple of 10?
True
Suppose -2*o + 3*m + 52 = 0, 0 = -5*o - m - 2*m + 109. Is 4 a factor of o?
False
Suppose 6*u = 5*u + 77. Let g = -17 + u. Does 5 divide g?
True
Suppose 4*c - 2006 = 2*w, -894 - 613 = -3*c + w. Is 56 a factor of c?
True
Let a be 2*(0 - -2) + 11. Let y(z) = -2*z + 15. Let q be y(8). Is (q + 3)/(3/a) a multiple of 5?
True
Let m be (-1)/6 - -86*3/36. Suppose 0 = -4*f - 5*h + 285, m*f - 4*f = 5*h + 205. Is 10 a factor of f?
True
Let p be -1 + 4 - 15/(-5). Suppose 0 = p*w - 4*w + 2. Is 22 a factor of (21*-2)/w + 2?
True
Suppose -3*r + 7 = 43. Let n be 0 - -3 - r/(-3). Does 7 divide 54/(4 + n) + 3?
True
Let x = 3 + 0. Suppose x*p = -94 - 110. Let j = p - -128. Is 12 a factor of j?
True
Suppose -43*x + 44*x = 279. Does 10 divide x?
False
Let i(p) = 3*p**2 + 6*p - 13. Let v be i(15). Suppose -1808 - v = -16*z. Is 10 a factor of z?
True
Let n be (-3)/(-7) + -3*(-1048)/(-84). Let l = -6 - n. Is 7 a factor of l?
False
Let w(h) = -1 - 2*h**2 - 12*h + 11*h**2 - 6 + 3 - h**3. Does 3 divide w(7)?
False
Let j(g) be the first derivative of 7*g**3/3 - g**2/2 - 2*g + 8. Is 8 a factor of j(2)?
True
Let s(d) = -2*d + 20. Let f be 1/8*4*0. Suppose 3*j + j + 32 = f. Does 9 divide s(j)?
True
Let f(z) = -8*z - 2. Let w(s) = 16*s + 5. Let o(g) = 9*f(g) + 4*w(g). Does 6 divide o(-2)?
True
Does 15 divide ((-31)/4 - 0)/(6/(-192))?
False
Let k(q) = q**2 + 15*q - 59. Is k(-27) a multiple of 22?
False
Does 8 divide ((-224)/(-84))/(1/(3*33))?
True
Let d(r) = 152*r + 25. Is 22 a factor of d(2)?
False
Let i = 54 + 58. Suppose -2*r - 40 = -4*x + 116, -3*x + 4*r + i = 0. Does 11 divide x?
False
Let a(x) = -23*x**3 - 3*x**2 + x + 1. Let c be a(1). Let l = 16 - c. Is l a multiple of 8?
True
Let w = 1865 + -1333. Is 14 a factor of w?
True
Let l be (-4)/(2 + (-36)/16). Suppose -t - l = -5*t. Suppose 0*y + 163 = 3*y - 2*i, 0 = t*y - 5*i - 208. Is 17 a factor of y?
False
Suppose 0 = -3*r + 2*r + 3*d + 2274, -4*d = -3*r + 6832. Suppose -h + r = -5*h. Does 5 divide h/(-45) + 4/(-6)?
False
Let g(i) = -i**3 + 7*i**2 + 8*i - 8. Let z = 22 + -19. Suppose z*h - 35 = -2*h. Is 12 a factor of g(h)?
True
Let z = 690 - 688. Let v be 2*2*1/2. Is 8 a factor of v*(-2 - -7)*z?
False
Let i = -83 + 80. Let a = 62 - -70. Is i - a/(0 - 4) a multiple of 15?
True
Let j(k) = 184*k + 202. Does 22 divide j(16)?
True
Let l(h) = 13*h**2 + 16*h + 1. Let p be l(-4). Let k = p + -25. Is 12 a factor of k?
True
Let l = -773 + 1498. Does 6 divide l?
False
Let z(q) = q**2 + 8*q + 9. Let v be z(-7). Is v/(-10) + (-488)/(-40) a multiple of 4?
True
Does 20 divide (-84 + -17)*5/(-1)?
False
Suppose -3*w + 371 = 5*u, 4*w - 5*u = 269 + 179. Is w a multiple of 13?
True
Let o(f) = f**2 + f - 12. Let d be o(6). Let r be (d/(-9))/(2/(-204)). Suppose 2*c - r = -3*g, 2*c - 5*c = 3*g - 339. Is g a multiple of 32?
False
Suppose 5*p - 18695 = -5*y, 3*p - 2*y + 3*y = 11225. Is 97 a factor of p?
False
Let t(w) = 5*w**2 + 4*w + 9. Suppose 8*b - 15 = -47. Does 12 divide t(b)?
False
Let r = -460 + 1026. Does 17 divide r?
False
Suppose 5*x = 5*w + 20, 2*w + 2*w = -5*x + 2. Let a be 0 - 0 - (-11 - w). Suppose -27 = a*t - 12*t. Is t a multiple of 9?
True
Let j(m) = 53*m**2 + 25*m + 123. Is j(-6) a multiple of 33?
True
Let a = -19 + -5. Suppose 2*p - 94 - 24 = -4*v, -5*v = p - 62. Let h = a + p. Is 11 a factor of h?
True
Let n(h) = -h**3 - 26*h**2 - 61*h + 96. Does 17 divide n(-24)?
True
Suppose -5*h = 3*j + j - 672, 516 = 4*h - 4*j. Is 27 a factor of h?
False
Let q(t) = -t**3 + t**2 - t - 1. Let c be q(-1). Suppose -2*w = c*w - 224. Suppose -u = u - w. Is u a multiple of 14?
True
Let q(v) = 33*v**3 - v**2 + 19*v - v**2 + 32*v**3 - 66*v**3. Is q(-7) a multiple of 28?
True
Suppose 160*z + 8 = 158*z. Does 10 divide (-18)/36 - (482/z + 0)?
True
Is (-9 + -2 - -220)/1 a multiple of 23?
False
Let y(v) = v**3 - 6*v**2 - 2*v + 5. Let r be y(7). Suppose 2*i + r = 132. Suppose -9 = j - i. Is 26 a factor of j?
False
Let o(m) = -m**2 - 16*m - 8. Let p(b) = 4*b + 6. Let n be p(-5). Let k = n + 4. Is o(k) a multiple of 13?
True
Let a = -325 - -214. Let z = 171 + a. Is z a multiple of 12?
True
Let v = -61 + 63. Suppose -p - v*p + 333 = 5*w, 5*w - 5*p = 325. Is w a multiple of 21?
False
Suppose 0 = 2*i - 5*i + 6. Suppose 5*v - i*v = -2*t + 128, -5*t - 140 = -4*v. Is v a multiple of 10?
True
Let o(z) = z**2 - 15*z - 29. Let l be o(21). Suppose -4*k = -3*i + l, -93 = -3*i - 0*i + 3*k. Is i a multiple of 3?
True
Let c = 3712 - 1164. Does 13 divide c?
True
Let w(c) = c + 0 - 8 - 6*c. Let f be (6/14)/(-1) - 1014/182. Is 11 a factor of w(f)?
True
Suppose -4*a + 2*t + 331 = a, 2*a + t = 127. Is a a multiple of 22?
False
Let z(v) = -v**3 + 8*v**2 + 12*v + 3. Suppose -3*k + 10*k = 63. Is 30 a factor of z(k)?
True
Let f(z) = 459*z - 459*z + 72*z**2. Does 12 divide f(1)?
True
Suppose -10 = 2*a + 2*l, 0 = a - 2*l - 3*l + 5. Suppose 0 = 5*x + 49 - 84. Is a/(-2 + x) + 79 a multiple of 29?
False
Suppose -9*j = 140 + 310. Suppose -3*x + 258 = -0*x. Let d = j + x. Is 21 a factor of d?
False
Is 83 a factor of 1005 + 9/((-72)/(-16))?
False
Let a(b) = 2*b**2 + 5. Is 37 a factor of a(-4)?
True
Let w = -14 + 7. Let o be w/(-21) - 14/(-3). Suppose -o*a = -a - 88. Is 11 a factor of a?
True
Let l be ((-1)/4)/(4/(-48)). Suppose i = l*c - 1 - 1, 2*i = 3*c - 4. Let n = 29 - i. Is 8 a factor of n?
False
Suppose -3*z = 5*z - 5040. Suppose 13*v - 7*v = z. Does 15 divide v?
True
Let y(r) = r**2 + 7*r + 8. Let p be y(-6). Suppose 5*b = 0, -1 - 5 = -p*h + 2*b. Is h a multiple of 3?
True
Let s(i) = 6*i**2 - 4*i + 3. Let j be s(1). Suppose 62 = k - 4*r, -j*r - 60 = k - 2*k. Is k a multiple of 14?
True
Let y(t) = 7*t**2 + 5*t + 216. Does 46 divide y(-14)?
True
Let r be (-1)/(-7) - (-4)/(-28). Suppose -2*j + 4 + 40 = r. Does 8 divide j?
False
Suppose 0 = -3*a - 288 - 783. Let b be 1/(2 + 711/a). Let c = 197 - b. Is c a multiple of 27?
False
Let i(v) = v**3 - 8*v**2 + 3*v + 10. Suppose 26 = 5*y + 4*a, -y - 4*a = -6 - 12. Suppose y*h - 7 = 9. Is 17 a factor of i(h)?
True
Suppose 4*c + 8 = -4*d, -c + d = 3*d + 4. Suppose -4*h = 2*i - 356, c = 5*h - h + i - 352. Suppose 0 = -7*s + h + 88. Does 8 divide s?
False
Let b = -251 + 471. Does 22 divide b?
True
Suppose -4649 = -11*i + 5108. Is i a multiple of 10?
False
Let b = -201 + 216. Is b a multiple of 15?
True
Let y = 1533 + -1132. Does 6 divide y?
False
Suppose -10 = 2*h - 0. Let o be ((-2)/h)/((-5)/275). Is (-2174)/o - (-10)/55 a multiple of 25?
False
Suppose -4*v = -4*o + 332, 3*v - 165 = -2*o + 4*v. Let d = 76 + o. Is 18 a factor of d?
False
Let r be 3 - 53*(3 + -4). Suppose f = 4*a + r, -5*a - 24 = -f + 27. Does 18 divide f?
False
Suppose -674 - 1114 = -3*g. Suppose a = 5*c - g, 0*c + 3*c = -5*a + 380. Does 12 divide c?
True
Let s(n) = -4*n**2 - 2*n + 5. Let h be s(-6). Suppose -4*k - 58 = 254. Let t = k - h. Is 16 a factor of t?
False
Suppose 355 = -3*d - d - o, -d - 2*o = 80. Let f = -46 - d. Is 17 a factor of f?
False
Let k = -57 - -58. Does 8 divide (7 - -31)/(1 + k)?
False
Does 46 divide ((-1)/2)/((-7)/644)?
True
Let r(h) = -h**2 - 9*h + 192. Is 36 a factor of r(8)?
False
Let u = 47 - 42. Suppose 6*k = 3*k - 2*n + 79, 0 = -u*k + 3*n + 119. Is k a multiple of 13?
False
Suppose -5*u - 3*d = -5*d - 276, u - d - 54 = 0. Let a = u + 4. Does 20 divide a?
True
Let i(j) = 12*j**2 + 3*j + 2. Suppose -17*g + 4 = -19*g. Is 11 a factor of i(g)?
True
Suppose -15 = -3*i - 0*i. Suppose w + 232 = 4*y, 0 = -y - 2*y + i*w + 191. Let u = y + -39. Is u a multiple of 6?
True
Let u be (-4 - (-21 - -4))*1. Let f(r) = 9*r - u + 1 + r. Is f(6) a multiple of 12?
True
Let r(c) = -11*c + 5. Let w be r(3). Suppose 123 = -2*s - 3*q, -5*q = -5*s - 259 - 36. Let z = w - s. Is z a multiple of 5?
False
Let c = 7 + -18. Let i = c - -15. Suppose q + i*q + 3*m = 264, -5*q + m = -252. Is q a multiple of 17?
True
Suppose 2*x = 4*a - 2216, -12*x = a - 16 | {
"pile_set_name": "DM Mathematics"
} |
n - 1. Let a be d(v). What are the prime factors of 19 - (a + (-3)/(-3))?
3, 7
Let c(w) = -4*w**2 - 3*w + 12. Let h(z) = -9*z**2 - 5*z + 25. Let x(d) = 7*c(d) - 4*h(d). List the prime factors of x(-5).
3, 7
Let n(q) = q**2 + q + 6. Let s be n(13). Suppose -5*j = -4*j + 5*o - 88, -2*j = 4*o - s. List the prime factors of j.
2, 7
Let d = 35 - 26. Suppose d*m = 333 + 162. What are the prime factors of m?
5, 11
Suppose 17*c + 187704 = 83*c. List the prime factors of c.
2, 3, 79
Suppose -4*p + 2616 = 4*p. List the prime factors of p.
3, 109
Suppose -55 = -5*d + 5*c, -4*c = 3*d + 9 - 49. Let y = d - -35. Let k = y - 21. What are the prime factors of k?
2, 13
Let x be 127/5 + 9/(225/(-10)). What are the prime factors of ((-106)/5)/((-5)/x)?
2, 53
Suppose -5*s + 3582 = -l, 14*s + 2*l = 9*s + 3576. List the prime factors of s.
2, 179
Let z(l) = -2*l**2 + 15*l + 21. Let v(r) = r**2 - 8*r - 11. Let u(f) = -11*v(f) - 6*z(f). Let i = -5 + 15. List the prime factors of u(i).
3, 5
Suppose 337 - 1247 = -7*b. Suppose -b = -3*m + 3*p + 104, 2*p - 136 = -2*m. What are the prime factors of m?
73
Let t = -14 + 10. Let y be 166/8*t/(-1). Suppose -2*q + y = 17. List the prime factors of q.
3, 11
Suppose 0 = 2*h - i - 134, 5*h + 0*h - 5*i = 325. Suppose 0 = 4*y - 3*y - h. List the prime factors of y.
3, 23
Let h = 43 - 27. Suppose -4*s + h = -0*s. Let q(g) = -g**2 + 10*g + 2. List the prime factors of q(s).
2, 13
Let h = 436 - 18. What are the prime factors of h?
2, 11, 19
Let u(y) = -235*y + 688. What are the prime factors of u(-5)?
3, 23
Suppose -13*h + 10277 = 5*u - 9*h, -2*u + 4104 = 5*h. List the prime factors of u.
11, 17
Let c be 1*(-1 + 0)*-2. Let y be 1 - (c/(-1) - 2). Suppose -r = 4*s - 7, -s + y*s = -2*r + 34. List the prime factors of r.
3
Let t(j) = -4*j + 4*j - 5 + 3*j. Suppose 5*u + 30 = 5*d, -5*d + 4*u + 16 = -12. List the prime factors of t(d).
7
Let m(h) = 152*h**3 + 3*h - 3. What are the prime factors of m(1)?
2, 19
Let u(d) = 12*d**2 - 7*d + 2. Let m = 95 + -91. What are the prime factors of u(m)?
2, 83
Let z be 2*((-9)/12*2)/(-3). Suppose -3*x + 183 = 4*a, 3*x + z = 4. What are the prime factors of a?
3, 5
Let o = -1964 - -3736. List the prime factors of o.
2, 443
Suppose -11 - 9 = -5*q. Suppose -q*o + 335 = -5. List the prime factors of o.
5, 17
Suppose -5*x - 80 = -0*x. List the prime factors of x/(-20) - (-536)/5.
2, 3
Let s(f) = 318*f**3 - 2*f**2 - 3*f + 2. What are the prime factors of s(1)?
3, 5, 7
Suppose -46*t + 21852 + 53312 = 0. List the prime factors of t.
2, 19, 43
Let k(v) = v**3 + 17*v**2 - 18*v - 24. List the prime factors of k(-13).
2, 443
Let u = 156 - -74. List the prime factors of u.
2, 5, 23
Let w(h) = h**3 + 7*h**2 + 8. Let a be -1 + 1 - (-2 - -9). Let x be w(a). Suppose -32 = -y - x. What are the prime factors of y?
2, 3
Let x(t) = -5 + 0 - 13 + 5*t + 2*t. List the prime factors of x(12).
2, 3, 11
Suppose -3*i = i + 728. Let k = i + 327. List the prime factors of k.
5, 29
Let f be (6/(-8))/(2/(-160)). Suppose 3*m = -m + f. Suppose 3 + m = t. List the prime factors of t.
2, 3
Suppose -5*d = -3*o + 7187, -2393 = -250*o + 249*o + 3*d. List the prime factors of o.
2399
Suppose -5*a + 36 = -a. Let o be (-9)/(a/(-2)) - 2. Suppose -3*l + 12 - 3 = o. List the prime factors of l.
3
Suppose -v + 5*h = 64 - 512, 1792 = 4*v - 2*h. List the prime factors of v.
2, 7
Let h(f) = 2*f - 12. Let u be h(9). Let n be (0 + (-4)/(-8))*u. List the prime factors of n*(-22)/(-3) + -3.
19
Let q(z) = z + 1. Let o be q(1). Suppose 4 = -3*s + 4*s. Suppose -2*u - o*i = -u - 33, 0 = -s*u + 3*i + 88. What are the prime factors of u?
5
Let b(l) = -l**3 - 9*l**2 + 4*l - 4. Let m be -11 - 2*4/(-8). Let c be b(m). What are the prime factors of c/10*(5 + 0)?
2, 7
Suppose 0 = -20*w + 5*w + 35775. List the prime factors of w.
3, 5, 53
Let a = -165 + 365. Let d(m) = m**3 - 6*m**2 + 5*m - 6. Let r be d(5). List the prime factors of r/4 + a/16.
11
Suppose -4*n + 8 = 0, -3*r - 5*n + 1910 = r. What are the prime factors of r?
5, 19
Let d = -1504 + 2645. List the prime factors of d.
7, 163
List the prime factors of (285/6)/(-3 + (-254)/(-84)).
3, 5, 7, 19
Suppose 2712 = -8*z + 11704. What are the prime factors of z?
2, 281
Suppose 5*m = 448 + 182. Suppose 9*h + m = 12*h. What are the prime factors of h?
2, 3, 7
Let z(g) = -g**3 - 6*g**2 + 5*g - 23. List the prime factors of z(-9).
5, 7
Let b(h) = -2*h + 34. Let f be b(15). Suppose -312 = -f*g + 3*x, 7*g + 4*x = 4*g + 234. What are the prime factors of g?
2, 3, 13
Suppose 3*t + t + 31 = -3*f, 5*t + 53 = f. Let q(a) = 5*a**3 + 8 + 6*a - 4*a**3 + 4*a + 11*a**2. What are the prime factors of q(t)?
2
Suppose 35 = -w + 188. Let j be (1 + -2)*(-6)/2. Suppose -6*p = -j*p - w. List the prime factors of p.
3, 17
Let p(z) = -43 + 41 + 0*z - z + 5*z. What are the prime factors of p(2)?
2, 3
Suppose 15*m = -6*m + 1134. List the prime factors of m.
2, 3
Let u(n) = 11*n**2 + 4*n + 3. Let x be 6/(-4)*(4 + 16/(-6)). List the prime factors of u(x).
3, 13
Let s(l) = l**3 - 4*l**2 - l - 5. Let h be s(5). Let p = h + -21. Let q(v) = -5*v + 17. What are the prime factors of q(p)?
47
Suppose q = 3*v - 148, -11*v + 9*v + 2*q = -100. Suppose -2*h + v = -153. List the prime factors of h.
101
Let r(d) = 56*d**2 - d + 10. List the prime factors of r(-5).
5, 283
Let l be -448 - (-4 + (1 + -2 - -3)). What are the prime factors of (2/(-3))/2 + l/(-6)?
2, 37
Let i(r) = -158*r - 263. What are the prime factors of i(-10)?
3, 439
Suppose -3*x - c + 3754 = 0, -3*x - 21*c + 3748 = -17*c. List the prime factors of x.
2, 313
Let u be 17/(-5) + (-18)/(-45). Let b(x) be the third derivative of x**5/60 - x**4/24 + x**3/6 + x**2. List the prime factors of b(u).
13
Suppose -m = 4*j - 85, 8 = -j + 2*m + 18. List the prime factors of (-21 - (0 + -1))*j/(-4).
2, 5
Let w be (-3 + 3)/(1*(-3 + 2)). Suppose -2*d + 4*a + 128 = w, 4*d + a - 64 = 3*d. What are the prime factors of d?
2
Suppose 4*l = -7*y + 10*y + 16, 2*y - 4*l = -12. List the prime factors of 2/y*((-3 - 6) + 3).
3
Let s(c) = -c**2 - 11*c - 2. Let o be s(-4). Suppose 0 = -o*d + 22*d + 232. List the prime factors of d.
2, 29
Let v be (-7 - 7)*6/(-4). Let z be 2/6 - (-1778)/v. Suppose -4*y - 3*d = -z, -3*y - 2*d + d + 60 = 0. List the prime factors of y.
19
Let d(o) = o**2 + 3*o - 2. Suppose 5*w - 3*p = -19, 10*p - 5*p + 35 = -5*w. Let f be d(w). Suppose 0 = i + 3*i - f. What are the prime factors of i?
2
Suppose 0 = -3*d + 15, -6*a - d = -2*a - 2617. What are the prime factors of a?
653
Suppose 3*f = f - 3*n + 3885, 4*n - 12 = 0. What are the prime factors of f?
2, 3, 17, 19
Suppose g + 1 = -y - 3*g, 0 = -5*g - 20. Suppose y*i + 24 = 18*i. What are the prime factors of i?
2
Suppose o + 2*o + 2*t = 565, -562 = -3*o - 5*t. Suppose -4*d - q = -o, 2*d + 3*q - 98 = -q. List the prime factors of d.
47
Let b = 415 - 183. List the prime factors of b.
2, 29
Suppose 0 = 4*x - 9*x + 4*k + 2085, 0 = 5*x + k - 2110. List the prime factors of x.
421
Let o(c) = c + 1. Let i(b) = 148*b + 222. Let n(u) = -i(u) + 222*o(u). What are the prime factors of n(2)?
2, 37
Let f(w) = 12*w + 1. Let o be f(5). Let y = o + -107. What are the prime factors of (0 - 2/4)*y?
23
Suppose 2*s = s + 1697. Let c = 1099 - s. List the prime factors of c/(-13) - -1*1.
47
Suppose 0 = -o - 3*t + 367, 0 = 4*o - 3*o + 2*t - 365. List the prime factors of o.
19
Let y = 1617 - 1140. What are the prime factors of y?
3, 53
Let a(j) = -j**3 - 2*j**2 + 6*j + 6. Let h be a(-6). Suppose 0 = -2*n - 10, -h - 30 = -4*y - 4*n. What are the prime factors of y?
41
Let u(d) = -d - 1. Let t(g) = 3 + 0 + 4 - 5. Let i(j) = -2*t(j) - 3*u(j). What are the prime factors of i(9)?
2, 13
Suppose 8*y - 20 = 3*y. Suppose -y*x = -x - 27. Let n = x - 5. What are the prime factors of n?
2
Let y = -2656 - -3834. List the prime factors of y.
2, 19, 31
Let c = 17 + -14. Let d = -1 + c. What are the prime factors of 4/(0 - d/(-17))?
2, 17
Let k(d) = -d - 5. Let m be k(-3). Let r be (m/5)/((-7)/35). Suppose r*b - 112 = -3*p, 9 = 4*b - 11. What are the prime factors of p?
2, 17
Let l(b) = -414*b + 31. Let a(k) = 83*k - 6. Let f(n) = -11*a(n) - 2*l(n). List the prime factors of f(-3).
7, 37
Suppose -3*s - 91 = 2. Let w = s - -13. Let h = w + 25. List the prime factors of h.
7
Let w(v | {
"pile_set_name": "DM Mathematics"
} |
7*x(q).
6464*q**3
Let b(v) = 2*v**3 + v - 4. Let t(g) = 7*g**3 + 7*g - 27. Determine -35*b(u) + 5*t(u).
-35*u**3 + 5
Let b(i) = -691 - 674 + 1365 - 8*i**2. Let k(f) = f**2. Calculate -b(v) + 6*k(v).
14*v**2
Let r(l) = l + 2. Let k(d) = -4. Suppose -4*v + 5*v = -5*y - 8, 2*y - 13 = 5*v. Let m(t) = y*k(t) + r(t). Let f(c) = -5. Determine -5*f(w) - 4*m(w).
-4*w + 1
Let j(u) = 5*u**2 - 10*u - 5. Let b(m) = 26*m**2 - 52*m - 24. Calculate 3*b(x) - 16*j(x).
-2*x**2 + 4*x + 8
Let x(b) = -1412*b**3 + 3*b**2 - 4*b + 15. Let g(w) = -w**3 + w**2 - w + 3. Calculate 5*g(c) - x(c).
1407*c**3 + 2*c**2 - c
Let v(z) = 19*z + 11. Let q(a) = -47*a - 10. Determine -6*q(l) - 7*v(l).
149*l - 17
Let l(h) = 34*h + 6434. Let q(u) = 10*u + 2144. What is -3*l(p) + 10*q(p)?
-2*p + 2138
Let p(n) = -n**2 - n - 1. Let v(a) = 1 - 2 + 3*a - 4*a - 359*a**2 + 355*a**2. What is 3*p(z) - v(z)?
z**2 - 2*z - 2
Let h(a) = 4*a**2 - 2*a. Let j(l) = -5*l**2 + 10*l. Let q(x) = 3*x**2 - 13*x. Let d(p) = -3*j(p) - 2*q(p). What is -6*d(n) + 11*h(n)?
-10*n**2 + 2*n
Let z(r) be the second derivative of -r**4/12 - r**2/2 - 89*r + 2. Let l(n) = 8*n**2 + 3. What is l(y) + 2*z(y)?
6*y**2 + 1
Let n(i) = -5*i**3 + 14*i**2 - 45*i - 43. Let d(q) = -4*q**3 + 12*q**2 - 38*q - 44. Determine -6*d(y) + 5*n(y).
-y**3 - 2*y**2 + 3*y + 49
Let c(y) = 6*y**2 + 5*y + 3. Let q(t) = -5*t - 1. Let z(v) = -6*v**2 + 34*v + 4. Let u(b) = 8*q(b) + z(b). Calculate -3*c(n) - 2*u(n).
-6*n**2 - 3*n - 1
Suppose 3*i - 113 + 35 = 0. Suppose -12*l = -38*l - i. Let d(k) = -k**3 - 1. Let m(v) = -6*v**3 - v - 2. Determine l*m(p) + 5*d(p).
p**3 + p - 3
Let l(h) = h**2 + 6*h - 10. Let z = 39 + -36. Let k be (z/2 + 0)/((-2)/(-4)). Let o(f) = f - 2*f + 417 - 420 + k*f. Give 2*l(y) - 7*o(y).
2*y**2 - 2*y + 1
Let x(o) = -8*o - 12. Suppose 0 = -131*w - 157*w - 36*w - 7128. Let z(m) = 1. Let k(y) = y. Let f(s) = -k(s) - z(s). What is w*f(v) + 2*x(v)?
6*v - 2
Let v(y) = 31*y - 4. Let z(t) = 32*t - 5. Let g = 13057 - 13052. Determine g*z(c) - 6*v(c).
-26*c - 1
Suppose -2*m = 2*d - 6, -2*d - 4*m - 17 + 31 = 0. Let j(c) = 329*c**3 + 282*c**2 + 282*c - 282. Let h(v) = -v**3 - v**2 - v + 1. Give d*j(w) - 282*h(w).
-47*w**3
Let f(z) = -8*z**2 + 4883*z - 21. Let v(p) = -10*p**2 + 4883*p - 25. Calculate 6*f(w) - 5*v(w).
2*w**2 + 4883*w - 1
Suppose 182*w = 12*w - 1020. Let p(t) = -2*t**2 - 4*t - 6. Let l(n) = -4*n**2 - 7*n - 11. Calculate w*l(m) + 11*p(m).
2*m**2 - 2*m
Suppose 0 = 44*n + 8*n - 572. Let r(s) = 10*s**2 - 4 + 3*s**2 + n*s + 15. Let k(g) = g**2 + g + 1. Determine 22*k(u) - 2*r(u).
-4*u**2
Let z(l) = -13*l + 11576. Let o(i) = 4*i - 3830. Determine -10*o(u) - 3*z(u).
-u + 3572
Let x(h) = 340*h + 110. Let s(u) = -244*u - 73. Calculate -7*s(j) - 5*x(j).
8*j - 39
Let l(k) = -2*k + 11. Suppose 4*i - 4*d = -9*d + 20, -4 = -3*i - d. Suppose i = 89*j - 95*j - 78. Let s = 18 - 24. Let p(n) = n - 5. Give j*p(m) + s*l(m).
-m - 1
Let o(a) = 7*a**2 + a + 6. Let k(s) be the second derivative of 2*s**4/3 + s**3/3 + 7*s**2/2 + 1764*s. What is 3*k(w) - 4*o(w)?
-4*w**2 + 2*w - 3
Let g(h) = -34*h + 241. Let n(l) = 23*l - 164. What is 7*g(y) + 11*n(y)?
15*y - 117
Let y(h) = 7031*h**2 + 4*h - 1. Let k(l) = -2009*l**2 - l. Calculate -18*k(q) - 5*y(q).
1007*q**2 - 2*q + 5
Suppose 13*z + 6*z + 38*z = 171. Let f(u) = -u**3 - u - 4. Let r(v) = -2*v**3 - 4. Let q(i) = -i**3 + i + 1. Let d(b) = q(b) - r(b). Determine z*f(l) + 2*d(l).
-l**3 - l - 2
Let t(g) = -g. Let u(o) be the first derivative of o**3 + o**2 + 729. What is 3*t(h) + u(h)?
3*h**2 - h
Let b(l) = -69 + 31*l - 33*l + 73. Let g(d) = d - 5. Let t be -1*4 - (4 - 4). Determine t*g(n) - 5*b(n).
6*n
Let i(t) = 778 + 780 - 1558 - 31*t**2 + 3*t. Let o(s) = 1022*s**2 - 98*s. What is 98*i(z) + 3*o(z)?
28*z**2
Let p(a) = a**3 + 2*a - 4. Let c(b) = 566*b**3 + 4*b**2 - 7*b + 16. Calculate -c(n) - 4*p(n).
-570*n**3 - 4*n**2 - n
Let j(z) = 13*z**3 + 2*z**2 + 13*z - 2. Let v(i) = 54*i**3 + 8*i**2 + 50*i - 8. Give 9*j(k) - 2*v(k).
9*k**3 + 2*k**2 + 17*k - 2
Let u(a) = -a**3 - 3*a**2 + 234*a - 6. Let m(o) = -o**2 - o - 2. Determine -3*m(b) + u(b).
-b**3 + 237*b
Let o(b) = -4*b**2 + 17*b + 11. Let t = 11 - 22. Let c(x) = -x**2 + 6*x + 4. Let g = 2920 + -2916. Determine g*o(d) + t*c(d).
-5*d**2 + 2*d
Let a(s) be the third derivative of 7*s**4/12 - 5*s**3/6 + 9*s**2 + 287. Let o(u) = -14*u + 4. Determine -5*a(y) - 6*o(y).
14*y + 1
Let k(o) = 3*o - 2*o - 4*o**2 + 6*o. Let n(s) be the first derivative of 2*s**3 + 2*s**2 + 3*s + 57. Let d be n(-1). Let w(u) = -u**2 + u. Give d*w(r) - k(r).
-r**2 - 2*r
Let n(p) = 430*p**3 - 11*p**2 + 3*p. Let l(r) = 86*r**3 - 2*r**2 + r. Determine 11*l(o) - 2*n(o).
86*o**3 + 5*o
Let x(g) = -21 + 44 - 13522*g + 13542*g + 72 - 5. Let k(m) = -1. Calculate 180*k(d) + 2*x(d).
40*d
Let q(c) = 15*c**3 - c**2 - 8*c + 3. Let u(v) = 2*v**3 - v**2 - v + 1. Let z(a) = q(a) - 3*u(a). Let g(k) = -k**3 - k**2 + k. Calculate -2*g(o) - z(o).
-7*o**3 + 3*o
Let s(a) = a**3 + 1. Let w(b) = 2*b**3 - 3 - 3*b**3 + 1. Let r = -21400 - -21405. Let z be 5/(2/(-8)*-2). What is r*w(j) + z*s(j)?
5*j**3
Let o(l) = 20*l**2 - 3*l + 8362. Let p(w) = 6*w**2 - w - 4. Determine -o(u) + 3*p(u).
-2*u**2 - 8374
Let q be (0 - -1) + -11 + 13. Let p(n) = -3*n + 3*n - n - q + 2*n**2. Let a(s) = s**2 - 1. Let d = 2452 - 2450. Calculate d*p(t) - 5*a(t).
-t**2 - 2*t - 1
Let v = -263 - -382. Suppose -15*d - v + 29 = 0. Let i(j) = -12*j**3 - 5*j**2 - 5*j - 5. Let p(y) = -6*y**3 - 3*y**2 - 3*y - 3. What is d*i(b) + 10*p(b)?
12*b**3
Let s(o) = -3*o + 1. Let g(b) be the third derivative of b**5/60 + b**4/4 - b**3/2 + 4*b**2 + 214*b - 1. What is -4*g(u) - 9*s(u)?
-4*u**2 + 3*u + 3
Let o(s) = -69*s**3 - 4*s + 5. Let i(q) = 17*q**3 + q - 1. Suppose 3*t = -14*t - 34. Calculate t*o(k) - 9*i(k).
-15*k**3 - k - 1
Let s(j) = -7*j + 1. Let r(n) = -6*n. Let o(t) = -3*r(t) + 2*s(t). Let q(d) be the first derivative of -5*d**2/2 - d + 4783. Determine 3*o(b) + 2*q(b).
2*b + 4
Let m = 9946 - 9947. Let w(v) = -v + 1. Let p(k) = -2*k**2 + 0*k**2 - 10*k + 0*k**2 + 8. What is m*p(a) + 8*w(a)?
2*a**2 + 2*a
Let r(p) be the first derivative of 3*p**2 + 2*p + 5466. Let s(c) = 3*c + 1. Let t(v) = v**2 + 6*v - 13. Let m be t(-8). Give m*r(u) - 5*s(u).
3*u + 1
Let q(d) = 102016*d**3 + 88*d**2 - 88*d - 44. Let z(r) = 6801*r**3 + 6*r**2 - 6*r - 3. Calculate -6*q(v) + 88*z(v).
-13608*v**3
Let x(z) be the second derivative of z**5/2 + z**4/12 - 2*z**3/3 + 5*z**2/2 - 3339*z. Let g(u) = -5*u**3 - u**2 + 2*u - 2. Calculate -5*g(r) - 2*x(r).
5*r**3 + 3*r**2 - 2*r
Let p(x) = -13*x**3 - 23*x**2 + 19*x - 9. Let q(r) = 11*r**3 + 21*r**2 - 17*r + 7. What is 4*p(s) + 5*q(s)?
3*s**3 + 13*s**2 - 9*s - 1
Let f(b) = -18847*b**3 - 6*b**2 - 24*b - 6. Let j(o) = 3*o**3 + o**2 + 4*o + 1. Calculate f(a) + 6*j(a).
-18829*a**3
Let v(c) = 3*c**3 + 5*c**2 - 39*c - 57. Let x(d) = -4*d**3 - 7*d**2 + 55*d + 86. Determine 7*v(p) + 5*x(p).
p**3 + 2*p + 31
Let o(x) = -3*x**2 + 7*x + 1. Let k = 6706 + -6707. Let r(q) = q. What is k*o(v) + 6*r(v)?
3*v**2 - v - 1
Let i(w) = -w**3 + 9*w**2 - 3*w - 3492. Let g(d) = -6*d**2 + 2*d + 3491. What is 3*g(b) + 2*i(b)?
-2*b**3 + 3489
Let k(q) = -1 - q**2 - 1 - 3*q**2. Let h(t) = -46 + 46 - t**2. Let i be -12 - -20 - 1 - 8/1. What is i*k(z) + 3*h(z)?
z**2 + 2
Let t(s) be the second derivative of -s**4/4 - s**3 - 5*s**2/2 - s. Suppose 0 = -289*q + 258*q + 155. Let k(r) = 2*r**2 + 4*r + 3. Calculate q*t(a) + 8*k(a).
a**2 + 2*a - 1
Let g(o) = o - 1. Suppose 3*n - 98 = -3*s + n, -5*s + 159 = -n. Let q(v) = -s*v + 10 + 8*v**2 + 35 - 13. Determine 32*g(u) + q(u).
8*u**2
Let h = -27 + -73. Let n be 6/((-4)/(h/15)). Let z(d) = -12*d + 2. Let r(u) = 6*u + 3*u - 8*u. What is n*r(m) + z(m)?
-2*m + 2
Let x(v) = 10*v**2 + 0*v - 5*v**2 - 6*v**2 - 2*v + 1 + 3*v. Let l(h) = -h**3 - 5*h**2 + 3*h + 8. Suppose -9*b + 16 = -11. Determine b*x(r) - l(r).
r**3 + 2*r**2 - 5
Suppose -2*i = -67 + 73, 0 = 4*j - i + 33. Let o(y) = -13*y**2 + 2*y - 4. Let b(p) = -27*p**2 + 5*p - 9. Determine j*o(w) + 4*b(w).
9*w**2 + 2*w
Let j(l) = -1508*l - 270. Let y(n) = 302*n + 57. Determine -3*j(v) - 14*y(v).
296*v + 12
Let t(k) = k. Let r(l) = -7*l - 2. Suppose 258 = 64*o + 2. What is o*t(u) + r(u)?
-3*u - 2
Let u(b) = -4*b**2 - 6*b + 372. Let w(k) = -2*k**2 - 3*k + 185. Calculate 5*u(t) - 11*w( | {
"pile_set_name": "DM Mathematics"
} |
- 3
What is the q'th term of -1062, -1070, -1082, -1098, -1118, -1142, -1170?
-2*q**2 - 2*q - 1058
What is the k'th term of -11602, -11636, -11672, -11710, -11750, -11792?
-k**2 - 31*k - 11570
What is the d'th term of -16569, -33195, -49873, -66603, -83385, -100219?
-26*d**2 - 16548*d + 5
What is the a'th term of 6832, 13659, 20476, 27283, 34080, 40867, 47644?
-5*a**2 + 6842*a - 5
What is the l'th term of 12817, 25630, 38443, 51256, 64069, 76882?
12813*l + 4
What is the d'th term of 108583, 108581, 108577, 108571, 108563, 108553, 108541?
-d**2 + d + 108583
What is the p'th term of 87061, 87333, 87615, 87913, 88233?
p**3 - p**2 + 268*p + 86793
What is the c'th term of 33160, 33152, 33128, 33082, 33008, 32900, 32752?
-c**3 - 2*c**2 + 5*c + 33158
What is the w'th term of -287246, -1148962, -2585156, -4595828?
-287239*w**2 + w - 8
What is the g'th term of 63, 134, 217, 312, 419?
6*g**2 + 53*g + 4
What is the p'th term of -44, -38, -12, 46, 148, 306, 532?
2*p**3 - 2*p**2 - 2*p - 42
What is the d'th term of 3028, 12215, 27526, 48961, 76520?
3062*d**2 + d - 35
What is the q'th term of 100, -289, -928, -1811, -2932, -4285, -5864?
q**3 - 131*q**2 - 3*q + 233
What is the p'th term of 185, 342, 563, 854, 1221?
p**3 + 26*p**2 + 72*p + 86
What is the m'th term of -6113, -12215, -18317, -24419, -30521?
-6102*m - 11
What is the o'th term of 35095, 70176, 105253, 140326?
-2*o**2 + 35087*o + 10
What is the f'th term of 321291, 642580, 963869?
321289*f + 2
What is the g'th term of 1687, 3596, 6783, 11254, 17015, 24072, 32431?
g**3 + 633*g**2 + 3*g + 1050
What is the h'th term of -753, -1032, -1359, -1758, -2253, -2868?
-4*h**3 - 251*h - 498
What is the w'th term of -944, -1905, -2868, -3833, -4800, -5769, -6740?
-w**2 - 958*w + 15
What is the k'th term of -821, -978, -1135, -1292?
-157*k - 664
What is the u'th term of -74, -431, -1386, -3239, -6290, -10839?
-50*u**3 + u**2 - 10*u - 15
What is the u'th term of 1919, 3814, 5709, 7604, 9499, 11394?
1895*u + 24
What is the s'th term of -501743, -501739, -501733, -501725?
s**2 + s - 501745
What is the u'th term of 15099903, 15099902, 15099901, 15099900, 15099899, 15099898?
-u + 15099904
What is the c'th term of 64141, 64106, 64071, 64036?
-35*c + 64176
What is the l'th term of 103116, 103115, 103114, 103113, 103112, 103111?
-l + 103117
What is the g'th term of 7169, 14335, 21499, 28661, 35821?
-g**2 + 7169*g + 1
What is the n'th term of -5192, -10305, -15420, -20537, -25656, -30777?
-n**2 - 5110*n - 81
What is the x'th term of 347, 734, 1263, 1940, 2771, 3762, 4919, 6248?
x**3 + 65*x**2 + 185*x + 96
What is the i'th term of -161, -772, -1831, -3338, -5293, -7696?
-224*i**2 + 61*i + 2
What is the d'th term of 8358, 8417, 8476?
59*d + 8299
What is the c'th term of 13750, 13756, 13772, 13804, 13858, 13940, 14056, 14212?
c**3 - c**2 + 2*c + 13748
What is the x'th term of -23, 124, 495, 1192, 2317?
17*x**3 + 10*x**2 - 2*x - 48
What is the i'th term of -2806, -5736, -8666, -11596, -14526?
-2930*i + 124
What is the f'th term of 63291, 126580, 189869, 253158, 316447?
63289*f + 2
What is the u'th term of 161, 105, -81, -463, -1107, -2079, -3445, -5271?
-11*u**3 + u**2 + 18*u + 153
What is the s'th term of 6463, 25817, 58073, 103231, 161291?
6451*s**2 + s + 11
What is the q'th term of -2681, -10675, -23975, -42581, -66493, -95711?
-2653*q**2 - 35*q + 7
What is the b'th term of 2615830, 2615831, 2615832, 2615833, 2615834?
b + 2615829
What is the m'th term of 31072, 31088, 31116, 31156, 31208, 31272?
6*m**2 - 2*m + 31068
What is the c'th term of 67414, 67423, 67436, 67453, 67474, 67499, 67528?
2*c**2 + 3*c + 67409
What is the l'th term of -65850, -131697, -197544, -263391, -329238, -395085?
-65847*l - 3
What is the a'th term of 490, 1872, 4164, 7372, 11502, 16560?
a**3 + 449*a**2 + 28*a + 12
What is the c'th term of -66, -9, 86, 219, 390, 599?
19*c**2 - 85
What is the v'th term of 1495, 2986, 4477, 5968, 7459, 8950?
1491*v + 4
What is the m'th term of -163061, -326118, -489175?
-163057*m - 4
What is the z'th term of 490, 784, 1078, 1372, 1666, 1960?
294*z + 196
What is the w'th term of 1651, 6923, 15813, 28321, 44447?
1809*w**2 - 155*w - 3
What is the a'th term of 443605, 443609, 443613, 443617?
4*a + 443601
What is the j'th term of -234, -473, -712, -951, -1190, -1429?
-239*j + 5
What is the s'th term of 77, 248, 517, 890, 1373?
s**3 + 43*s**2 + 35*s - 2
What is the g'th term of -10610347, -10610343, -10610337, -10610329, -10610319?
g**2 + g - 10610349
What is the f'th term of 1003, 936, 825, 670, 471?
-22*f**2 - f + 1026
What is the a'th term of 4852, 9536, 14210, 18868, 23504, 28112, 32686, 37220?
-a**3 + a**2 + 4688*a + 164
What is the l'th term of -1886, -7634, -17222, -30656, -47942?
-l**3 - 1914*l**2 + l + 28
What is the u'th term of 27, 299, 1059, 2553, 5027, 8727?
41*u**3 - 2*u**2 - 9*u - 3
What is the s'th term of -103, -452, -1051, -1900, -2999, -4348, -5947?
-125*s**2 + 26*s - 4
What is the m'th term of 123, 228, 333, 438, 543, 648?
105*m + 18
What is the r'th term of 76714, 76711, 76708, 76705, 76702, 76699?
-3*r + 76717
What is the p'th term of 104, 161, 256, 389, 560, 769?
19*p**2 + 85
What is the x'th term of 1514, 4799, 8084, 11369, 14654, 17939?
3285*x - 1771
What is the i'th term of -60, -243, -776, -1845, -3636?
-31*i**3 + 11*i**2 + i - 41
What is the h'th term of 80, 204, 370, 578, 828, 1120, 1454?
21*h**2 + 61*h - 2
What is the v'th term of 5731, 5879, 6027, 6175?
148*v + 5583
What is the q'th term of 31773, 31785, 31797, 31809, 31821?
12*q + 31761
What is the s'th term of 418, 346, 272, 196, 118?
-s**2 - 69*s + 488
What is the x'th term of -81, -83, -79, -69?
3*x**2 - 11*x - 73
What is the h'th term of -286089, -572180, -858271, -1144362?
-286091*h + 2
What is the q'th term of -1157, -2333, -3509, -4685, -5861, -7037?
-1176*q + 19
What is the j'th term of 172, 1551, 5294, 12583, 24600, 42527, 67546?
197*j**3 - 25
What is the t'th term of 45109, 45111, 45113, 45115, 45117?
2*t + 45107
What is the n'th term of 183814, 367629, 551432, 735217, 918978?
-n**3 + 183822*n - 7
What is the c'th term of 58, 117, 194, 295, 426?
c**3 + 3*c**2 + 43*c + 11
What is the n'th term of 444, 410, 350, 258, 128, -46, -270, -550?
-n**3 - 7*n**2 - 6*n + 458
What is the h'th term of 262, 511, 750, 979, 1198, 1407?
-5*h**2 + 264*h + 3
What is the z'th term of -373, -527, -681, -835?
-154*z - 219
What is the w'th term of 79257, 79241, 79225, 79209, 79193?
-16*w + 79273
What is the t'th term of -144028, -288036, -432030, -576004, -719952, -863868, -1007746, -1151580?
t**3 + t**2 - 144018*t - 12
What is the m'th term of 3230, 6436, 9640, 12842?
-m**2 + 3209*m + 22
What is the c'th term of 664, 1486, 2310, 3136, 3964, 4794, 5626?
c**2 + 819*c - 156
What is the o'th term of 30984, 30981, 30978, 30975?
-3*o + 30987
What is the n'th term of 974, 1060, 1136, 1196, 1234, 1244?
-n**3 + n**2 + 90*n + 884
What is the u'th term of 11787, 23574, 35363, 47154, 58947?
u**2 + 11784*u + 2
What is the l'th term of -430786, -861571, -1292356, -1723141?
-430785*l - 1
What is the r'th term of 100, 849, 2100, 3853, 6108, 8865, 12124?
251*r**2 - 4*r - 147
What is the u'th term of -1765, -3552, -5377, -7258, -9213?
-3*u**3 - u**2 - 1763*u + 2
What is the k'th term of 132, 1231, 4250, 10155, 19912, 34487, 54846?
161*k**3 - 6*k**2 - 10*k - 13
What is the t'th term of 1050980, 1050978, 1050976, 1050974, 1050972, 1050970?
-2*t + 1050982
What is the n'th term of 7836, 15650, 23446, 31218, 38960?
-n**3 - 3*n**2 + 7830*n + 10
What is the d'th term of 4457, 17647, 39617, 70361, 109873?
-d**3 + 4396*d**2 + 9*d + 53
What is the z'th term of 366, 1493, 3414, 6165, 9782?
6*z**3 + 361*z**2 + 2*z - 3
What is the q'th term of 83, 315, 761, 1469, 2487, 3863, 5645?
8*q**3 + 59*q**2 - q + 17
What is the h'th term of 2499, 2569, 2639?
70*h + 2429
What is the z'th term of 125741, 125754, 125791, 125864, 125985?
2*z**3 - z + 125740
What is the w'th term of 1834, 1826, 1796, 1732, 1622?
-2*w**3 + w**2 + 3*w + 1832
What is the z'th term of 45, 157, 269, 381?
112*z - 67
What is the b'th term of -2237, -2248, -2271, -2306?
-6*b**2 + 7*b - 2238
What is the y'th term of 383, 529, 677, 827, 979?
y**2 + 143*y + 239
What is the n'th term of -2346, -9354, -21034, -37386?
-2336*n** | {
"pile_set_name": "DM Mathematics"
} |
Let u(c) be the third derivative of t(c). Find the second derivative of u(y) wrt y.
-24*y
Let a(u) be the first derivative of 10*u**7/7 - 8*u**3/3 - 11. What is the third derivative of a(o) wrt o?
1200*o**3
What is the derivative of -38 + 85 + 41*d**3 - 23 wrt d?
123*d**2
Let a(z) = -z + 1. Let n be a(-4). Suppose 0 = 2*i - 4*o - 20, 0*o + 14 = -3*i - n*o. What is the third derivative of -i*l**2 + 5*l + l**3 - 5*l wrt l?
6
Let k(g) be the third derivative of -7*g**6/20 + g**5/30 + 11*g**4/24 - 10*g**2. What is the third derivative of k(z) wrt z?
-252
Let o(h) = h**2 + h + 3. Suppose 0*c = -c. Let g be o(c). What is the third derivative of -w**3 - w**2 + 0*w**2 + 3*w**g wrt w?
12
Let k be 3 + (1 + -4 - -2). Let m(o) = -6*o**2 + 2*o + 1. Let r(s) = -s**2 + s. Let t(v) = k*r(v) - m(v). Differentiate t(f) wrt f.
8*f
Suppose -2*j = t + 8, -4*t + 2 - 1 = -3*j. Let a = 4 + t. Differentiate 4*q**2 - 2 - 5*q**a + 3 wrt q.
-2*q
Let m(x) = -13*x**6 + 4*x**5 + 4*x**3 + 16*x**2 - 4. Let c(r) = -r**6 - r**5 - r**3 + 1. Let s(v) = 4*c(v) + m(v). What is the third derivative of s(u) wrt u?
-2040*u**3
Let t(n) be the third derivative of 0*n - 1/8*n**4 + 7/60*n**5 + 0 - n**2 + 0*n**3. What is the second derivative of t(j) wrt j?
14
Let m(k) be the first derivative of -k**6/2 - 11*k**2/2 + 10. Find the second derivative of m(h) wrt h.
-60*h**3
Find the third derivative of -14*t**2 - 21*t**6 + 42*t**6 - 82*t**6 - 32*t**2 wrt t.
-7320*t**3
Let t(n) be the second derivative of -9*n**8/56 + n**4/6 + 16*n. What is the third derivative of t(l) wrt l?
-1080*l**3
Let y(t) be the third derivative of -t**9/2160 + t**5/40 - t**4/12 - 2*t**2. Let a(k) be the second derivative of y(k). Differentiate a(n) wrt n.
-28*n**3
Let a(y) = y - 1. Let w be a(5). Let c = 6 - w. What is the derivative of 3 - c*x + 0 + 1 + 0 wrt x?
-2
Let m(y) be the third derivative of -11*y**5/30 - 43*y**4/24 - 12*y**2. What is the second derivative of m(h) wrt h?
-44
Let m(k) be the second derivative of 0*k**4 + 1/2*k**3 - 1/42*k**7 + 0*k**6 + 0*k**5 + 0*k**2 - 3*k + 0. What is the second derivative of m(x) wrt x?
-20*x**3
Let b(h) be the second derivative of h**3/2 - h**2 - 2*h. Differentiate b(u) wrt u.
3
Suppose -2*m = 2*t + 12, 0*m = 2*t - 3*m - 8. Let q = t - -3. Find the first derivative of 4 - 4 - q + w**2 wrt w.
2*w
Let f(a) be the first derivative of 0*a + 5 - 8/5*a**5 - a**2 + 0*a**3 + 0*a**4. What is the second derivative of f(r) wrt r?
-96*r**2
Suppose i = 3*i - 6. Find the second derivative of 6*a + 3*a**2 - 5*a + i*a wrt a.
6
Find the second derivative of -11*c**2 - 15*c - 25 - 5*c**2 + 25 wrt c.
-32
Suppose -4 = 2*w - 6. Let h be 3 - 0*(-2)/4. Find the third derivative of 1 - w - h*a**2 + a**6 wrt a.
120*a**3
Let u(n) be the first derivative of -5*n**2/2 + 7*n + 8. Find the first derivative of u(h) wrt h.
-5
Let a(z) = -4*z**4 + 3*z**3 - 3*z**2 - 3. Let u(p) = p**3 - 1. Let s(t) = -a(t) + 3*u(t). What is the third derivative of s(v) wrt v?
96*v
Let o(y) be the second derivative of y**7/6 + 5*y**3/2 + 15*y. Find the second derivative of o(c) wrt c.
140*c**3
Suppose -5*x - 1 + 11 = 0. What is the first derivative of y**4 - y**4 + 5 - x - 2*y**4 wrt y?
-8*y**3
What is the derivative of -27*u**2 - 23*u**2 + 34*u**2 - 4 wrt u?
-32*u
Let o(u) = 10 + 3 - 2*u + 3*u. Let z be o(-10). What is the third derivative of -2*w**4 + w**2 - 4*w**z + 4*w**3 wrt w?
-48*w
Suppose 2*f = f + 2. Let r be f*6/8*2. Find the second derivative of -r*l + l + l**2 + l**2 - l wrt l.
4
Let y(x) be the third derivative of 2*x**7/21 - 7*x**5/15 - x**2 + 12*x. What is the third derivative of y(f) wrt f?
480*f
What is the second derivative of -7*t**5 - 867 - 6*t + 867 wrt t?
-140*t**3
Let j = -5 - -10. Suppose n + 0*n = j. What is the second derivative of 3*m**5 - 3*m**5 - m - 4*m**n wrt m?
-80*m**3
Let c(g) be the second derivative of g**8/840 + g**6/180 - g**3/3 - 2*g. Let a(i) be the second derivative of c(i). Find the third derivative of a(j) wrt j.
48*j
Let r(y) be the first derivative of -4 + 0*y**6 + 0*y + 0*y**5 + 4/7*y**7 + 0*y**2 + 1/3*y**3 + 0*y**4. Find the third derivative of r(j) wrt j.
480*j**3
Let y(i) be the first derivative of 3 + 4*i**2 - 4*i - i**2 + 2*i - 2*i**2. What is the derivative of y(c) wrt c?
2
Suppose 0 = 2*m + 5*n + 19, 0*m - 5*n - 10 = 5*m. Let a = -4 - -8. Find the first derivative of 2 + m*l - a - l wrt l.
2
Let p = -4 - -6. Find the third derivative of o**5 + 0*o**5 - 5*o**p + 2*o**2 wrt o.
60*o**2
Let v(w) be the third derivative of 7*w**6/120 - w**4/24 + w**2. Find the second derivative of v(d) wrt d.
42*d
Let i(h) = -h - 1. Let b(o) be the second derivative of -3*o**3/2 - 15*o**2/2 + o. Let s = -16 - -15. Let y(p) = s*b(p) + 12*i(p). Differentiate y(l) wrt l.
-3
What is the third derivative of -9*y**2 + 27*y**3 + y**2 - 21*y**3 wrt y?
36
Let k(d) = -d**3 + 10*d**2 - 2*d + 12. Let m be k(10). Let b be 3/(-2)*m/6. Find the third derivative of -5*x**2 + 3*x**4 + x**2 + x**b wrt x.
72*x
Let m(t) = 6*t**3 + 7*t**2 + 7*t + 9. Let f(d) = -5*d**3 - 6*d**2 - 6*d - 8. Let i = -5 - -11. Let z(s) = i*m(s) + 7*f(s). Differentiate z(g) wrt g.
3*g**2
Let g(n) be the first derivative of -n**4/6 - n**3/3 + 2*n + 2. Let v(m) be the first derivative of g(m). Find the second derivative of v(d) wrt d.
-4
Let y(u) = -u**3 + 5*u**2 + 5*u + 8. Let l(q) = q**3 - 4*q**2 - 4*q - 7. Let n(m) = -5*l(m) - 4*y(m). What is the first derivative of n(v) wrt v?
-3*v**2
Let r be 14/(-10) - 10/(-25). Let j(m) = -3*m + 1. Let c be j(r). Differentiate 4*n**c + n**3 + 2 - n**3 wrt n.
16*n**3
Let o(u) be the first derivative of -u**8/840 + 5*u**4/24 - 5*u**3/3 + 1. Let b(h) be the third derivative of o(h). Find the first derivative of b(f) wrt f.
-8*f**3
Suppose -4*p + 27 = 3*h, 40 = 5*h - 2*p + 7*p. Suppose -h*z - 25 = -5*v, 0*v + 5 = v + 5*z. What is the first derivative of -3 + v - 2*y**2 + y**2 wrt y?
-2*y
Let k(p) be the second derivative of 7*p**4/4 + 53*p**2/2 + 4*p - 10. Differentiate k(o) wrt o.
42*o
Let i(v) = v**3 - v**2 + v. Let f be i(1). Find the first derivative of -f + 2*t**4 + 0 - 5*t**4 wrt t.
-12*t**3
Let z(a) = 16*a**5 + 5*a**3 - 9*a**2 - 5. Let t(w) = 24*w**5 + 8*w**3 - 13*w**2 - 8. Let m(h) = -5*t(h) + 8*z(h). Find the third derivative of m(o) wrt o.
480*o**2
Let b(r) = 15*r - 2. Let m be b(3). Find the third derivative of 5*g**5 + m*g**2 - g**4 + g**4 - 45*g**2 wrt g.
300*g**2
Let i = 1 - -11. Let p = 20 - i. What is the third derivative of -2*n**6 - p*n + 8*n - n**2 wrt n?
-240*n**3
Let y(v) be the third derivative of -5*v**8/112 + v**5/30 - 2*v**2. Find the third derivative of y(x) wrt x.
-900*x**2
Let i(n) = 2*n - 3. Let h = -7 + 10. Let q be i(h). What is the third derivative of 0*d**3 + 4*d**2 + d**q + d**3 - d**3 wrt d?
6
Let p(t) be the first derivative of 4 + 5/2*t**2 + 7*t. Find the first derivative of p(x) wrt x.
5
What is the first derivative of -2*s**2 + 0*s**2 + 4 + s**2 wrt s?
-2*s
Find the second derivative of -1 + 0 - 12*n + 1 - 15*n**4 wrt n.
-180*n**2
Find the third derivative of -5*y**5 - y**2 + 0*y + 5*y - 5*y wrt y.
-300*y**2
Let m = 3 - 0. Suppose 0 = 4*w - v - 10, -2*v + 7 + 6 = m*w. Find the second derivative of w*c + c**3 + c**3 - 2*c wrt c.
12*c
Let m = -3 + 5. Find the third derivative of -3*g**2 + 0 + 2*g**m + 0 + 3*g**3 wrt g.
18
Let v(o) be the third derivative of -o**4/2 + 5*o**3/3 - 11*o**2. Differentiate v(m) with respect to m.
-12
Let o(a) be the first derivative of a**7/420 - a**4/12 - a**3 - 1. Let q(i) be the third derivative of o(i). Find the first derivative of q(d) wrt d.
6*d**2
Let k(t) be the first derivative of 13*t**4/4 - 26*t + 29. What is the first derivative of k(m) wrt m?
39*m**2
Suppose 2*r - 6 = -6*j + 2*j, 3*r = -j - 1. Let s(x) be the first derivative of -j + x**2 - 1/3*x**3 + 0*x. What is the second derivative of s(h) wrt h?
-2
What is the first derivative of 0*v + v + 1 - v + 2*v**3 wrt v?
6*v**2
Let z(b) = -b**4 - 5*b**3 + 5*b + 4. Let h(m) = -3 + m**3 + 0*m**3 + 2 + 5*m - 6*m. Let v(p) = 5*h(p) + z(p). Differentiate v(x) wrt x.
-4*x**3
What is the derivative of 8*m**2 + 4 + 2 - 11 wrt m?
16*m
Let o(y) = y - 3. Let w be o(5). What is the first derivative of 6 + 4 - 9 + 5*d**w - 2*d**2 wrt d?
6*d
Let h(k) be the second derivative of 0*k**5 + 2 | {
"pile_set_name": "DM Mathematics"
} |
-539 + 133. Let b = n - -566. Is 7 a factor of b?
False
Let i(t) = t**3 + 11*t**2 - 12*t + 3. Let l be i(-12). Let y be 8 + l - (-5 - -6). Let o = y + 20. Is 30 a factor of o?
True
Suppose -74 = -2*t + 42. Suppose 0 = -5*p - 17 - 163. Let x = t + p. Is x a multiple of 6?
False
Suppose f = -4*n + 2 + 8, -3*f - 3*n = -12. Let p be 306/5 + 2/(-5)*-2. Suppose -q + 4 = -5*q, -2*v + p = -f*q. Is v a multiple of 10?
True
Suppose 542*b - 188786 = 489*b. Is b a multiple of 25?
False
Suppose -3*y = -n + 8, -5*n + 3*n + 16 = 3*y. Suppose 9*o - n*o - t = -186, -o + 4*t - 186 = 0. Let x = 386 + o. Does 50 divide x?
True
Suppose -2*d + 1357 = x, -4582 = -4*x - d + 874. Is x/10*(-4)/(-3) a multiple of 8?
False
Let n be 2/3 - 32480/84. Let r = n + 431. Is 9 a factor of r?
True
Let c(v) = 268 - 132 - 3*v - 162. Let t be c(-16). Is 116 + ((-40)/22 - 4/t) a multiple of 55?
False
Let g be (-1 - 76/20)*130/(-39). Suppose -g*n + 83 = -1245. Is n a multiple of 2?
False
Let h = 95 + 25. Suppose 5*v + 555 = 4*r, -3*v + 8*v - h = -r. Is r a multiple of 8?
False
Let r = -395 + 920. Let a = r + -301. Is 18 a factor of a?
False
Let c be 4 - 5/(-15)*3. Suppose 2*l + 21 = c*u - 74, 2*u = l + 39. Does 17 divide u?
True
Let n(q) = 1361*q + 3550. Does 14 divide n(33)?
False
Does 79 divide (111/74)/(3/(-142))*-71?
False
Suppose 0 = 7*b - 70483 - 16926. Does 67 divide b?
False
Does 13 divide 6/((-30)/(-189295)) - 18/6?
True
Let k(c) = 308*c**3 + 9*c**2 - 13*c + 4. Is 4 a factor of k(1)?
True
Let m(j) = -4252*j**2 - 2*j + 1. Let q be m(-2). Does 17 divide (-2 - (-24)/11) + q/(-77)?
True
Let c = -22 + 24. Suppose 5*n = t + 10, -n + 0*t = -c*t - 2. Suppose -2*s + 114 = 2*x - n, -294 = -5*s - x. Is s a multiple of 25?
False
Let n(b) = 2*b**2 - 5*b + 2. Let p(s) = s**2 + 3*s - 2. Let q be p(-4). Suppose z = -q*z - o + 7, 4*z = -o + 10. Does 5 divide n(z)?
True
Let v = -64 - -82. Let c be 69/(-18) + (-6)/36 + v. Is 15 a factor of (-2 - c/(-6)) + (-636)/(-9)?
False
Let h = 545 - -6699. Is h a multiple of 71?
False
Suppose 2 = 2*g - 2. Is 183 - (1*g + -13 + 14) a multiple of 51?
False
Let w(k) = 62*k**3 - k - 1 - 28*k**3 - 33*k**3. Let r(o) = 6*o**3 + 7*o**2 - 3*o - 5. Let y(x) = r(x) - 5*w(x). Does 2 divide y(-3)?
True
Let n = -261 + 8541. Is 69 a factor of n?
True
Let y be 0 + 2 + (-2 + 4 - -216). Let r = 148 - y. Let a = r - -184. Is 14 a factor of a?
True
Let d be 1/2 - 2/(-4). Let l(t) be the second derivative of 21*t**5/10 + t**4/12 + t**3/6 - t**2/2 + 102*t + 1. Is l(d) a multiple of 12?
False
Suppose -2*t - 4 = -4*r, 1 = r + 2*t - 5. Suppose 3*n - 1442 = -r*l - 358, -2*n + 4*l + 712 = 0. Suppose b - n = -9*b. Does 18 divide b?
True
Let y be (12/10 + 0)*(-200)/(-60). Suppose -c + 4*u + 13 = 0, 35 = y*c - 4*u + 7. Suppose -2*k + 0*n + 83 = -c*n, n + 103 = 2*k. Does 18 divide k?
True
Let z = -61 - -55. Let k be (56/z)/(17/51). Let s = k - -78. Is s a multiple of 10?
True
Suppose -165*r + 179*r + 5278 = 30688. Does 6 divide r?
False
Suppose 5*b + f + 1874 = 2*f, 2 = -2*f. Let k = b + 1115. Is k a multiple of 20?
True
Let v be (-4)/(-20) + (-70)/(-25). Let r be (((-153)/12)/v + -2)*-100. Suppose -4*k + 500 = -2*o, -5*k - 2*o + r = -0*o. Is 25 a factor of k?
True
Suppose 3*f - r = 9, 5*f - 15 = 2*r - 7*r. Suppose 5*d + 5*m - 652 = 68, -422 = -f*d - m. Does 6 divide d?
False
Let w(v) = 21*v**2 + 826*v - 95. Is 40 a factor of w(-51)?
True
Let k = 67523 - 40340. Does 123 divide k?
True
Let q(d) = 3*d**3 - 122*d**2 + 18*d + 25. Does 52 divide q(41)?
True
Let i(h) = 164*h - 180. Let g be i(8). Suppose 3*w - 5*w + g = 0. Is 8 a factor of w?
False
Let g = 36613 + -17302. Is g a multiple of 123?
True
Let t be (-5 + (-294)/(-10))*(-1 - 4). Let l = 134 + t. Is 3 a factor of l?
True
Suppose -2*o - 18 = -4*s, -3*s = 4*o - o - 9. Suppose -5*d + s = 19. Does 25 divide ((-1500)/5)/d + -4?
False
Let k = 107 - -243. Suppose -39*r + 34*r + k = 0. Does 35 divide r?
True
Suppose 3*h + 17 + 16 = 0. Let c = 52 - h. Let x = c - -7. Does 16 divide x?
False
Suppose -651*m + 214*m = -5302995. Does 15 divide m?
True
Let q(g) be the second derivative of g**4/4 - 9*g**3 - 18*g**2 - 16*g. Is q(24) a multiple of 36?
True
Let q = 9533 - 2231. Is 13 a factor of q?
False
Let c(l) = 354*l**2 - 30*l - 24. Let j(q) = -13*q**2 + q + 1. Let y(v) = 2*c(v) + 54*j(v). Let u be 10*((-12)/10)/(-3). Is y(u) a multiple of 26?
True
Let l(w) = -77*w + 285. Let c be l(4). Suppose 0 = 2*n - 15 - 63. Let k = n + c. Is k a multiple of 15?
False
Let z = -99 + 104. Suppose -q + 18 = 4*c - 9, -2*q - z*c = -42. Is 22 a factor of 3*1109/33 + 2/q?
False
Let i(f) = 3*f + 4. Let w(z) = -1 - 2 + 2 - 4*z - 5. Let a be w(-5). Is 4 a factor of i(a)?
False
Let x be -8 + 1*-1*(-1 + 2). Let m be 2/(-6)*x - (2 - 3). Suppose -m*h = 2 + 2, 4*f - 3*h - 147 = 0. Is f a multiple of 9?
True
Let i = 23852 + -16015. Is 17 a factor of i?
True
Let s(g) = g**2 - 18*g + 129. Is 3 a factor of s(41)?
False
Let x(b) = -82*b + 16. Let m be x(4). Let o = -265 + 705. Let q = o + m. Does 16 divide q?
True
Suppose 80 = 7*v - 2*v. Suppose -3*a - v = 3*f - 1, -3*f = -2*a - 15. Does 15 divide ((-8)/a)/(((-4)/126)/(-1))?
False
Suppose 21*j = 24*j - 5*r - 3029, 4*j - 3*r = 4013. Is j a multiple of 11?
False
Is 35669 + (-30)/(-20)*10 a multiple of 304?
False
Let m = -7750 + 12110. Is m a multiple of 55?
False
Let r = 184 + -182. Does 18 divide r/26 + 33846/78?
False
Let p(m) = 110*m**2 - 1 + 96*m**2 - 6*m**2 + m. Does 17 divide p(-1)?
False
Suppose -44 = 5*t + 2*b + 56, 0 = -t - b - 17. Let g = 189 + t. Let d = -103 + g. Does 46 divide d?
False
Suppose -24*i = -165*i + 216107 + 2310613. Is i a multiple of 41?
False
Suppose 156*n + 2290 = 158*n + 6*c, 2*n + 5*c = 2287. Is n a multiple of 2?
True
Does 5 divide 746284/336 - (-2)/(-24)?
False
Suppose 0 = -2*d + x + 4000 + 3540, -4*d - 2*x = -15088. Is d a multiple of 9?
True
Suppose 0 = -10*i + 808 + 852. Let d = 527 - i. Does 7 divide d?
False
Let w(h) = 7*h**2 + 91*h + 69. Let b(m) = m**2 + 18*m + 14. Let s(d) = -11*b(d) + 2*w(d). Does 74 divide s(-10)?
True
Let i(b) = 2*b**2 - 16*b - 46. Let q be i(10). Is 89 a factor of ((-22)/q)/(17/1785)?
False
Let z be 492/24*(-2)/(-1). Let n(v) = 23*v**2 - v**3 + 35 - z*v**2 + 16*v**2. Is n(0) a multiple of 5?
True
Let y(g) = 10*g - 10. Suppose -5*f - c = -15 - 227, 2*f = -3*c + 89. Let x = 52 - f. Does 7 divide y(x)?
False
Suppose -4*w + 5*n - 114 = 0, -4*n + 8 + 15 = -w. Let c = w + 36. Suppose u + c*v = 41, -5*u + v = -v - 286. Is 14 a factor of u?
True
Let a = -931 - -1446. Is a a multiple of 2?
False
Let y(d) = -2*d**3 - 31*d**2 + 20*d + 62. Let h be y(-16). Is 168797/138 + 3/(9*h) a multiple of 38?
False
Let x(q) = -237*q**3 + 13*q**2 + 3*q + 7. Let l(y) = 79*y**3 - 4*y**2 - y - 2. Let m(f) = 7*l(f) + 2*x(f). Let j be m(-1). Is (-128)/j + 4/10 even?
True
Let d(u) = -u**3 - 2*u**2 - u - 3. Let z be d(-2). Let c be (-21)/((-220)/208 - z). Suppose -2*m - 352 = -2*r, 3*r - 2*m = 5*r - c. Does 13 divide r?
False
Suppose 0 = 2*k + 3*s + 36 - 108, -4*k + 2*s = -176. Suppose -3*p + k - 13 = 4*l, 3*l = -p + 3. Is 7 a factor of p?
False
Let c = 115 + -113. Suppose -5*p + 3*t = 5 - 25, -5*p = 3*t - 20. Suppose -4*q + 314 = -q - w, -p*w = c*q - 214. Is q a multiple of 29?
False
Let q(p) = p + 16. Suppose -a - 2*h = -2 - 1, 23 = -4*a - h. Let u be q(a). Let g = u - -31. Is g a multiple of 40?
True
Let g = 41219 + -21315. Is g a multiple of 185?
False
Let f = 96 - 94. Suppose f*g - 141 - 51 = 0. Let k = -37 + g. Is k a multiple of 43?
False
Let y be (-4)/24*-27*2/(-1). Is 30 a factor of 2876/12*2 - 6/y?
True
Let m(y) = -2*y**2 + 15*y + 66. Let v be m(-11). Let x = -251 - v. Is x a multiple of 45?
True
Let r = -2094 + 3408. Does 55 divide r?
False
Suppose w + 4 = 0, -3*w - 1980 = -r - 2*r. Let t = r - 446. Is t a multiple of 15?
True
Let y = 73642 - 40182. Is 20 a factor of y?
True
Suppose -l = -12*l + 22. Suppose -4*u - l*j + 370 = 0, -j + 3 = 2. Does 23 divide u?
True
Let h = -398 - -116. Let x = 513 + h. Is x a multiple of 2?
False
Suppose -j - 3190 = -5*j - h, -5*j = -2*h - 3981. Let y = -335 + j. Does 7 divide y?
True
Let r = -44 + -48. Let h be (-193 + (-1)/(-1))*1. Let v = r - h. Is v a multiple of 11?
False
Suppose -21*r + 417 + 6198 = 0. Is 59 a factor of r?
False
Let h = 3044 + -2276 | {
"pile_set_name": "DM Mathematics"
} |
*3 + 10306*m wrt m.
2400*m**3 - 6*m
What is the derivative of -4*g*s + g + 4*q*s**4 + 6*q - s**4 wrt s?
-4*g + 16*q*s**3 - 4*s**3
Find the second derivative of 18227*v**3 + 14278*v.
109362*v
Find the second derivative of -16*k**4*m + 36*k**3*m + 14*k*m - 77 wrt k.
-192*k**2*m + 216*k*m
Find the second derivative of -1792*v**2 - v + 509 wrt v.
-3584
What is the third derivative of 3*a**6 - 107*a**4 + 23*a**2 wrt a?
360*a**3 - 2568*a
What is the first derivative of 103*l**2*r + 1515*l**2 wrt r?
103*l**2
What is the third derivative of -3*z**4 + 477*z**3 + 9489*z**2?
-72*z + 2862
Find the second derivative of i**3*s**3 + 2*i**3*s - 2*i**2*m + i*m*s**3 - i*m - 6*m*s**2 + 3*m*s - 7*s**2 wrt s.
6*i**3*s + 6*i*m*s - 12*m - 14
Find the third derivative of 175*l**3*z - 4*l**3 + 59*l**2*z + 96*l*z wrt l.
1050*z - 24
Find the second derivative of -19*a**3*t**2 + 2*a**3*t + 28*a**2*t**2 - 85*a wrt t.
-38*a**3 + 56*a**2
Find the third derivative of 10*b**3*n**2*u + 6*b**3*n**2 + 3*b**3*n*u + 4*b**2*u - 11*b*u + 3*n**2*u wrt b.
60*n**2*u + 36*n**2 + 18*n*u
Differentiate 6*a**4*d**3 + 253*a**4*d**2 + 2*d**3 + 2*d**2 + 2212 with respect to a.
24*a**3*d**3 + 1012*a**3*d**2
Find the third derivative of -11*f**5*y - 2*f**3*y**3 - 38*f**2*y**3 wrt f.
-660*f**2*y - 12*y**3
Differentiate 137*a*j**3*q**2 + 1820*a*q**2 - 2*j**3*q**2 wrt j.
411*a*j**2*q**2 - 6*j**2*q**2
What is the first derivative of -350*h**2 - 8*h - 16683?
-700*h - 8
What is the third derivative of 3*f**2*m*r + f**2*r**3 - 3*f*m*r**3 + 5*f*m*r**2 - 34*m**2*r**3 + m**2 - 3*m*r wrt r?
6*f**2 - 18*f*m - 204*m**2
Differentiate 27*q**2*u**2 - q**2 - 120*q*u**2 - 18467*u**2 with respect to q.
54*q*u**2 - 2*q - 120*u**2
What is the third derivative of 21240*f*z**4 - 2118*f*z**2 wrt z?
509760*f*z
What is the third derivative of 175*v**6 - 26*v**2 - 25 wrt v?
21000*v**3
What is the derivative of -38*f**4 - 5*f + 427?
-152*f**3 - 5
What is the third derivative of 1812*h**2*i**4 - 2*h**2*i**2 - 406*h*i**2 - 2*i**3 - 2 wrt i?
43488*h**2*i - 12
What is the third derivative of -479*f**5 + 81*f**2?
-28740*f**2
Differentiate 963*w - 6130.
963
Find the third derivative of 4244*i**3*z**2 - 5*i**3 + 247*i**2 - 10*i*z - 4*z**2 wrt i.
25464*z**2 - 30
What is the second derivative of 2975*u**2*x + 4*u*x - 5*u - 2*x wrt u?
5950*x
Find the second derivative of 9*t**3*y**3 + t**3*y**2 - t*y**2 + t - 14*y**3 wrt t.
54*t*y**3 + 6*t*y**2
Find the second derivative of -4*o*w**2 + 191*o*w - 10*w**2 - 2*w wrt w.
-8*o - 20
What is the derivative of -220*m**3 - 85 wrt m?
-660*m**2
Differentiate -14*m**3 + 29*m**2 + 6*m + 4597 with respect to m.
-42*m**2 + 58*m + 6
What is the first derivative of -14*l**2 + l*n + 21*l + 2*n - 1596 wrt l?
-28*l + n + 21
What is the second derivative of -49*k**4 + 4*k**2 + 3*k - 91?
-588*k**2 + 8
Find the third derivative of 198*a*u**4 + 2*a*u**2 + 18*a + 2*u**5 + u wrt u.
4752*a*u + 120*u**2
Find the third derivative of -2*x**6 - 2*x**4 + 1422*x**3 - 132*x**2 - x.
-240*x**3 - 48*x + 8532
Find the second derivative of 144*t**2 + 7*t wrt t.
288
What is the second derivative of 323*f**2*j**2 - f**2*j + f*j**3 + 10*f*j - 4*j wrt j?
646*f**2 + 6*f*j
What is the derivative of 28*j**3*k**3*n + 3*j*n - k**3*n - 335*k*n wrt j?
84*j**2*k**3*n + 3*n
What is the second derivative of 9*o**2 - 2*o - 20?
18
What is the third derivative of 891*h**3*o**2 - 4*h**2 - 227*h*o**2 wrt h?
5346*o**2
Find the second derivative of -561*i**2*v**2 + i**2*v + 9*i**2 - i wrt v.
-1122*i**2
What is the second derivative of 47*h**2*o**2 - h**2 + 2*h*o**2 + 20*h*o + 3*o wrt o?
94*h**2 + 4*h
What is the second derivative of 268*m**3*y**3 - 2*m*y + y**3 + 10 wrt m?
1608*m*y**3
What is the second derivative of -2*d**5 + 356*d**3 - 407*d?
-40*d**3 + 2136*d
What is the first derivative of -3238*l + 9177?
-3238
Find the third derivative of 5753*d**4 - 2*d**2 + 612.
138072*d
What is the first derivative of -8*s*u + 32*s + 2*u**4 - 9*u wrt u?
-8*s + 8*u**3 - 9
Differentiate 2*h**3*i**2*m**2 - 5*h**3*m**2 + 2*h**3 + 13*h**2*i**2 - h*i**2 wrt m.
4*h**3*i**2*m - 10*h**3*m
What is the third derivative of 96*o**5*s + 2*o**4*s**2 + 168*o**2*s**2 wrt o?
5760*o**2*s + 48*o*s**2
What is the derivative of -4*l**2*n - l**2 - 13*l*n + 25 wrt n?
-4*l**2 - 13*l
Find the third derivative of 2*v**6 - v**4 - 1635*v**3 - 2*v**2 + 186*v + 3.
240*v**3 - 24*v - 9810
What is the second derivative of 2*h**2*v - 65*h**2 - h*v + 56*h + 3*v wrt h?
4*v - 130
Find the second derivative of 97*q**4 + q**3 - 21*q wrt q.
1164*q**2 + 6*q
What is the derivative of 19*n**4 - 111?
76*n**3
What is the derivative of j**3*n*q - j**3*n*w + j**3*n - 2*j**3*q + 160*j**2*q*w - 2*j*n*w + 31*j*w wrt q?
j**3*n - 2*j**3 + 160*j**2*w
Find the first derivative of 6*b**2*h**3 - 2*b**2 - 3*b*h**2 - 296*h**3 wrt b.
12*b*h**3 - 4*b - 3*h**2
Find the third derivative of 3*n**4*p**3 - 2*n**4 + 8*n**3*p**2 + n**2*p**2 + n*p**3 + 2*p**3 wrt n.
72*n*p**3 - 48*n + 48*p**2
Find the third derivative of -12241*m**4 + 990*m**2 + 4.
-293784*m
What is the derivative of -7465*j - 12034?
-7465
What is the first derivative of b*g**2 - 6596*b + 2861*g**4 wrt g?
2*b*g + 11444*g**3
Find the first derivative of -260*n**2*p*t*u + n**2*p - 7*n*p*t*u + 28*n*p - 9*t wrt u.
-260*n**2*p*t - 7*n*p*t
What is the third derivative of 5*m**6 - 9*m**3 + 664*m**2 wrt m?
600*m**3 - 54
Find the third derivative of -910*u**6 - u**2 + 123.
-109200*u**3
Differentiate -7785*w**3 + 1683 wrt w.
-23355*w**2
What is the third derivative of -5*n**2*o**4 - 7*n**2*o**2 + 22*n*o**5 + 5*n*o**2 - n wrt o?
-120*n**2*o + 1320*n*o**2
Find the first derivative of -2915*j + 5090 wrt j.
-2915
Find the second derivative of 5*n**3*u - 60*n**3 - 13*n*u + 47*u wrt n.
30*n*u - 360*n
What is the derivative of -24201*j - 20128 wrt j?
-24201
What is the third derivative of -h**5 - 30*h**4*v + 10*h**4 + 177*h**2 + 29*h*v wrt h?
-60*h**2 - 720*h*v + 240*h
Find the third derivative of 2340*c**3 - 6*c**2 - 26*c.
14040
Differentiate -23*d**3*x + 512*d**3 - 10*d**2*x**3 wrt x.
-23*d**3 - 30*d**2*x**2
What is the second derivative of 266*o**5 - 487*o wrt o?
5320*o**3
What is the second derivative of -b**5 + 3*b**2 + 97*b wrt b?
-20*b**3 + 6
What is the derivative of -505*g**3 + 267?
-1515*g**2
What is the second derivative of -2*h**2*p**2 + 5*h**2*p - 113*h*p**3 - 6*p wrt p?
-4*h**2 - 678*h*p
What is the third derivative of -9425*b**3*q**2 + b**2*q**2 - 3*b**2 + 2*b*q**2 - 27*q wrt b?
-56550*q**2
Find the third derivative of 7*k**6*y + 13*k**5*y**3 - 11*k**2*y - 2*k*y**3 wrt k.
840*k**3*y + 780*k**2*y**3
Find the second derivative of 3406*r**2 + 66*r + 6.
6812
What is the second derivative of 59*p*z**5 - 24*p*z**3 + 46*p*z + 15 wrt z?
1180*p*z**3 - 144*p*z
What is the third derivative of g**2*v**5 + 9*g**2 - 591*g*v**2 - 285*v**4 wrt v?
60*g**2*v**2 - 6840*v
What is the second derivative of q*s**2*u**3*z + q*s**2*u**2 + 2*q*s*u + 11*q*u**2 - 2*q*u*z + 23*s**2*u*z + 2*s*u**3*z - 4*s*u**3 + 2*s*u*z wrt s?
2*q*u**3*z + 2*q*u**2 + 46*u*z
What is the second derivative of -8*r**2*u**3 + 2*r**2*u**2 + 150*r**2*u wrt u?
-48*r**2*u + 4*r**2
Differentiate -30*i**2 - 12*i + 11196 with respect to i.
-60*i - 12
What is the second derivative of 2*r**3 - 6*r**2*t**2 - 162*r*t**2 wrt r?
12*r - 12*t**2
What is the first derivative of 25*y**4 + 3*y**2 - 138 wrt y?
100*y**3 + 6*y
What is the derivative of -1188*g**2 - g - 2541?
-2376*g - 1
Find the third derivative of 1310*j**3 - 53*j**2 - 3*j wrt j.
7860
What is the third derivative of b**3*l*r**2 + 259*b**3*l*r*x + 4*b**2*l*r**2*x + 11*b**2*l*r*x + l wrt b?
6*l*r**2 + 1554*l*r*x
What is the third derivative of -p*y**4 + 61*p*y**3 - 2*p*y**2 - 2*p*y - 4*p - 6*y**4 + 2*y**3 - 19*y**2 wrt y?
-24*p*y + 366*p - 144*y + 12
What is the second derivative of -2153*o**2*q**2 + 1312*o*q**2 wrt o?
-4306*q**2
What is the third derivative of -8*b**4*j*l - 32*b**4*l - b**3*l**2 - b**2*j*l - 3*b**2 + b*j*l - b*l**2 + 16*j*l**2 wrt b?
-192*b*j*l - 768*b*l - 6*l**2
What is the derivative of 6*w**2 + 165*w - 27 wrt w?
12*w + 165
Find the first derivative of -c**3*i*t - 60*c**3*t + 3*c**3*u + 3*c**2*i*t*u - 598*i*u wrt i.
-c**3*t + 3*c**2*t*u - 598*u
Find the second derivative of 2*k**4*v - 296*k**4 + 428*k + 2*v wrt k.
24*k**2*v - 3552*k**2 | {
"pile_set_name": "DM Mathematics"
} |
d: 5}. What is prob of sequence iui?
5/153
What is prob of sequence ozo when three letters picked without replacement from {o: 8, z: 5}?
70/429
Four letters picked without replacement from {x: 1, n: 1, e: 2, g: 2, l: 2, v: 5}. Give prob of sequence elgg.
1/2145
What is prob of sequence dddf when four letters picked without replacement from doofddnodoodoo?
5/2002
What is prob of sequence iw when two letters picked without replacement from {a: 2, s: 1, u: 1, w: 1, i: 5}?
1/18
Two letters picked without replacement from {p: 3, e: 1, n: 3}. What is prob of sequence pp?
1/7
What is prob of sequence rw when two letters picked without replacement from rmvrvrrmwmrvw?
5/78
Three letters picked without replacement from ffffffufhfffuffhhf. What is prob of sequence fuh?
13/816
What is prob of sequence cmcc when four letters picked without replacement from ccccccmm?
1/7
Calculate prob of sequence aw when two letters picked without replacement from kzoanzozzawaakzzkozk.
1/95
Calculate prob of sequence od when two letters picked without replacement from {l: 4, d: 2, r: 5, h: 2, o: 4}.
1/34
What is prob of sequence pr when two letters picked without replacement from pppr?
1/4
Four letters picked without replacement from {w: 4, c: 10}. Give prob of sequence ccwc.
120/1001
Calculate prob of sequence jjc when three letters picked without replacement from cjcjjjjjjj.
7/45
What is prob of sequence ffw when three letters picked without replacement from {j: 3, g: 1, w: 5, s: 4, f: 5, q: 2}?
5/342
Two letters picked without replacement from amna. Give prob of sequence nm.
1/12
Calculate prob of sequence pmvn when four letters picked without replacement from {n: 1, p: 6, i: 3, g: 4, m: 1, v: 1}.
1/7280
What is prob of sequence ppkk when four letters picked without replacement from pkkkipkkp?
5/126
Four letters picked without replacement from {q: 10, b: 9}. What is prob of sequence bbqb?
35/646
What is prob of sequence zvv when three letters picked without replacement from {z: 1, l: 1, n: 1, v: 2}?
1/30
Calculate prob of sequence ttt when three letters picked without replacement from {v: 11, t: 5}.
1/56
What is prob of sequence is when two letters picked without replacement from ikkiisiiiiiisi?
10/91
Four letters picked without replacement from {w: 8, c: 5}. Give prob of sequence wcww.
14/143
Three letters picked without replacement from {o: 3, q: 3, i: 2, p: 2, s: 1, c: 1}. Give prob of sequence poq.
3/220
Two letters picked without replacement from {a: 2, k: 2, c: 5}. What is prob of sequence aa?
1/36
Calculate prob of sequence qh when two letters picked without replacement from {c: 3, h: 3, x: 5, q: 7, k: 2}.
21/380
Two letters picked without replacement from {f: 5, m: 2}. Give prob of sequence fm.
5/21
Two letters picked without replacement from lggllslgbgbbrg. What is prob of sequence ll?
6/91
Calculate prob of sequence jh when two letters picked without replacement from {f: 1, k: 1, j: 2, h: 2, e: 1, a: 1}.
1/14
Three letters picked without replacement from {j: 5, u: 11}. Give prob of sequence juj.
11/168
Two letters picked without replacement from {c: 3, f: 4, l: 2}. What is prob of sequence cl?
1/12
Calculate prob of sequence ggg when three letters picked without replacement from ggggghgggggghgggggg.
40/57
Calculate prob of sequence ooue when four letters picked without replacement from {e: 3, u: 1, o: 3}.
3/140
Two letters picked without replacement from rrrrrerrrrerrrrrrrer. Give prob of sequence rr.
68/95
What is prob of sequence nnp when three letters picked without replacement from {p: 1, n: 12}?
1/13
Four letters picked without replacement from icrjrrirrczjjcr. Give prob of sequence rjrr.
1/91
Four letters picked without replacement from gwpwnwwwkk. Give prob of sequence kgnw.
1/504
Three letters picked without replacement from gfgwdf. Give prob of sequence ffd.
1/60
What is prob of sequence npm when three letters picked without replacement from {n: 2, w: 3, m: 1, j: 1, p: 1, b: 4}?
1/660
Four letters picked without replacement from {j: 6, m: 7}. Give prob of sequence mmjm.
21/286
Two letters picked without replacement from {y: 4, c: 2, v: 3, m: 2, n: 1}. What is prob of sequence ym?
2/33
Four letters picked without replacement from klldlqqvqlqlkkn. What is prob of sequence qvll?
2/819
What is prob of sequence xllx when four letters picked without replacement from xxxxll?
1/15
Calculate prob of sequence etr when three letters picked without replacement from {i: 2, e: 5, t: 4, r: 4}.
8/273
Two letters picked without replacement from {x: 3, u: 2, k: 1, g: 5, w: 1, m: 1}. Give prob of sequence uu.
1/78
Calculate prob of sequence ee when two letters picked without replacement from kreperkrxekppqp.
1/35
Four letters picked without replacement from {g: 1, m: 2, y: 1, q: 1, h: 1, l: 1}. Give prob of sequence ygqm.
1/420
Four letters picked without replacement from {y: 1, s: 1, z: 1, b: 1, p: 2, i: 1}. Give prob of sequence bipy.
1/420
What is prob of sequence wt when two letters picked without replacement from fffffwfttfwff?
1/39
Calculate prob of sequence lqs when three letters picked without replacement from {s: 1, l: 1, q: 1}.
1/6
What is prob of sequence vys when three letters picked without replacement from {i: 2, v: 1, s: 1, h: 1, y: 1, q: 1}?
1/210
Calculate prob of sequence ggg when three letters picked without replacement from {g: 10}.
1
Calculate prob of sequence ph when two letters picked without replacement from {h: 4, p: 6}.
4/15
What is prob of sequence awnc when four letters picked without replacement from cnnaawhawrar?
2/1485
Three letters picked without replacement from {o: 2, p: 1, f: 1, g: 3}. What is prob of sequence opg?
1/35
Calculate prob of sequence vvxf when four letters picked without replacement from vvsxssxxsvffxxs.
1/546
Calculate prob of sequence ggg when three letters picked without replacement from {g: 13, j: 6}.
286/969
Two letters picked without replacement from agqeq. Give prob of sequence ae.
1/20
What is prob of sequence rjjt when four letters picked without replacement from rrtjrjrrtttrttt?
1/390
Three letters picked without replacement from zzazzuzzuzzzzuz. Give prob of sequence uza.
11/910
What is prob of sequence neq when three letters picked without replacement from {r: 1, q: 2, x: 6, n: 6, e: 2, o: 1}?
1/204
Three letters picked without replacement from liillllliliill. Give prob of sequence ill.
15/91
Calculate prob of sequence wlll when four letters picked without replacement from lwwlwwwwlwl.
7/330
What is prob of sequence em when two letters picked without replacement from {e: 2, h: 2, m: 1, w: 8}?
1/78
Calculate prob of sequence byy when three letters picked without replacement from {y: 2, b: 1}.
1/3
Three letters picked without replacement from {d: 1, l: 2, t: 1, s: 2, m: 2, p: 1}. Give prob of sequence ltl.
1/252
Four letters picked without replacement from {o: 5, k: 7, h: 4, t: 3}. What is prob of sequence okko?
35/3876
What is prob of sequence mnm when three letters picked without replacement from mfnjggmnjfjmg?
1/143
Calculate prob of sequence ptpx when four letters picked without replacement from axptxxaatap.
1/660
Two letters picked without replacement from {z: 3, w: 3}. Give prob of sequence wz.
3/10
What is prob of sequence rr when two letters picked without replacement from {r: 7, o: 1}?
3/4
Calculate prob of sequence bq when two letters picked without replacement from xwbwqie.
1/42
Three letters picked without replacement from {m: 4, l: 2}. What is prob of sequence lml?
1/15
Calculate prob of sequence qpqp when four letters picked without replacement from qqpqpqqqqpqqqqqqqq.
7/408
What is prob of sequence voo when three letters picked without replacement from {v: 4, o: 3, f: 1}?
1/14
Calculate prob of sequence kkkk when four letters picked without replacement from eggggke.
0
Calculate prob of sequence nin when three letters picked without replacement from {i: 4, s: 3, w: 1, n: 2}.
1/90
Calculate prob of sequence vh when two letters picked without replacement from {m: 4, v: 6, h: 3, x: 3, w: 4}.
9/190
Three letters picked without replacement from {q: 2, e: 1, z: 2, f: 1, p: 6}. What is prob of sequence qzz?
1/330
Four letters picked without replacement from {n: 3, j: 1, g: 2, r: 4}. Give prob of sequ | {
"pile_set_name": "DM Mathematics"
} |
Let z(o) = o**2 + 7*o + 6. Let q be z(-5). Let g = -11 - -11. Put q, g, -3 in descending order.
g, -3, q
Let c = 8 + -7.8. Let d = 1090.2 - 1091. Sort c, d, 0 in increasing order.
d, 0, c
Let s(x) = -x**3 + 8*x**2 - x + 6. Let h be s(8). Let k be (-9)/3 + (2 - h). Sort -5, -4, k in increasing order.
-5, -4, k
Let l = 0.31 - 0.91. Put 1, -2/5, l in descending order.
1, -2/5, l
Suppose -x = -4*x + 12. Let w(p) = -p**2 - 22*p - 15. Let z be w(-21). Suppose 2*s = z*s - x. Sort -1, -3, s in ascending order.
-3, -1, s
Let c(d) = d**3 + 11*d**2 - 18*d - 29. Let h be c(-12). Let z = h + -40. Sort -1, -8, z.
-8, -1, z
Let t = -330 - -332. Sort 0, -6, t, -4 in descending order.
t, 0, -4, -6
Suppose 3*h + 3*j = 7*j + 404, -3*h - 5*j + 440 = 0. Put 2, h, 5 in descending order.
h, 5, 2
Let i(x) be the first derivative of -x**4/4 - 8*x**3/3 + 5*x**2 - 34. Let r be i(-9). Put r, -4, 5 in decreasing order.
5, -4, r
Suppose -n + 50 = 16. Let r = -34 + n. Sort r, -4, -9.
-9, -4, r
Suppose -42*g - 62 = -38*g - 2*b, -5*b - 37 = 2*g. Put g, -1, -2, 5 in ascending order.
g, -2, -1, 5
Let f = 48 + -17. Let p = f - 27. Sort 5, 0.4, p in ascending order.
0.4, p, 5
Let o = 0.1 + -0.1. Let w = 197.6 + -197.4. Suppose -d + 3*d = 2*q + 8, 0 = -3*d + 2*q + 10. Sort o, d, w.
o, w, d
Let t = 11144.92 - 11145. Suppose -3*n = -6*n + 3. Let d be (n/(-2))/(2/4). Sort 4, d, t in increasing order.
d, t, 4
Let o = 432 - 429. Sort o, 5, 11 in descending order.
11, 5, o
Let l = -175 + 174. Sort -3, l, 36.
-3, l, 36
Let v = 0.081 - -31.919. Let r = v + -35. Put 1/2, r, -1/2 in descending order.
1/2, -1/2, r
Let n = 10 - 9. Let s be 4 - 5 - (n + 9 + -2). Sort -1, s, 3 in increasing order.
s, -1, 3
Suppose 3*l + l - 100 = 0. Let m = l - 14. Suppose -11*q - 29 = -40*q. Put q, 3, m in decreasing order.
m, 3, q
Let v(f) = f**3 + 14*f**2 - 13*f + 28. Let k = 78 + -93. Let a be v(k). Sort 3, a, 5, 0.
a, 0, 3, 5
Suppose 3*s - 130 + 22 = 0. Let h = s + -41. Suppose 8*x = 5*x - 42. Sort 5, x, h.
x, h, 5
Let d be ((-30)/(-27)*-15)/((-3)/(-9)). Let h = d - -44. Put 1/5, -3, h in descending order.
1/5, -3, h
Let o(y) = y**2 - 6*y - 3. Suppose -21 = -3*p - 0. Let u be o(p). Let v(k) = k - 4. Let f be v(5). Sort 0, u, f.
0, f, u
Let a(t) = -t**3 + t**2 + 2*t + 8. Let l be a(0). Put 4, -14, l in increasing order.
-14, 4, l
Let a be (32/12)/(8/36). Suppose 4*w + 4 = a. Sort -1, 3, w, -5 in descending order.
3, w, -1, -5
Let l be -1 + -37*172/(-3976). Let m = 9/14 - l. Let u = 373/426 - m. Put 5, u, -3 in decreasing order.
5, u, -3
Let n be 2/15*-3 + (-108)/(-20). Sort -3, n, 7, 3 in decreasing order.
7, n, 3, -3
Suppose -123 = 69*q - 28*q. Suppose 5*d - i - i = 28, 0 = 5*d + i - 16. Let a be 1*(5 - (2 + -2)). Put q, a, d in decreasing order.
a, d, q
Let k(z) = 2*z**3 + z**2 + z + 4. Let a be k(3). Suppose 5*i + 0*i = -a. Let t = i - -13. Sort t, -5, -3 in descending order.
t, -3, -5
Let f = -590 - -591. Put 183, -4, f in decreasing order.
183, f, -4
Let q = 52075/4 + -584245/44. Let r = -259 - q. Let o = -1.96 - 0.04. Put 4, r, o in decreasing order.
4, r, o
Let r = -812.7 - -738. Let s = 75 + r. Sort s, -1, 2.
-1, s, 2
Let m(c) = -2*c**2 - 3*c - 3. Let a(d) = -6*d**2 - 8*d - 8. Let j(o) = -2*a(o) + 7*m(o). Let k be ((-4)/6)/((-2)/(-6)). Let t be j(k). Sort t, -4, 5.
-4, t, 5
Suppose -2*h + 6 = -3*y, 3*h + 0*y - 3*y = 9. Put -1, -4, h, -5 in descending order.
h, -1, -4, -5
Suppose -9*o - 14 = 4. Sort 0, -3, 1, o in descending order.
1, 0, o, -3
Let v(n) = 15*n - 26. Let d be v(2). Put 72, 1, d in descending order.
72, d, 1
Let k be ((-24)/(-30))/((-18)/(-45)). Suppose -4*p = -0*p + 4*g + 8, 2*p + g = 1. Sort -1, 47, p, k in descending order.
47, p, k, -1
Let r(p) = -p**3 - 5*p**2 - 3*p + 5. Let m be r(-4). Suppose 0 = 5*d - 1 + m. Sort 2/11, d, -0.5, 5.
-0.5, d, 2/11, 5
Let t(i) = 2*i**2 - 21*i + 52. Let b be t(5). Sort -2/11, 1, -1, b in increasing order.
b, -1, -2/11, 1
Let o = -26 - -27. Suppose -p + o = -5. Let w be p*(33/(-18) - -2). Sort 14, -4, w.
-4, w, 14
Let d = -0.4 + -5.6. Let n = -1346/7 + 192. Put -0.1, n, d in descending order.
-0.1, n, d
Let i = -468 + 470. Sort -66, i, 1 in descending order.
i, 1, -66
Let j = 8 + -6. Suppose -5*z - 16 = 2*y + j, 4*y - 5*z = 24. Suppose -6*a + 9 = -3*a. Put a, 2, y in descending order.
a, 2, y
Let c be 4/18 + 3/108. Let t = 37/22 - 3/2. Let w(f) = f**3 - 5*f**2 - 5*f - 7. Let i be w(6). Put t, c, i in increasing order.
i, t, c
Let c be 0 + (4 + -4 - -2). Suppose c*s = 5*s. Sort s, -4, -2.
-4, -2, s
Suppose 3*w - 2*m = 0, 0*m + 5 = 5*w - 5*m. Sort 15, w, 3 in descending order.
15, 3, w
Suppose -5*r + 34 = 19. Sort r, -1/3, -6 in ascending order.
-6, -1/3, r
Let p = 1.48 + -141.48. Let v = p + 139. Sort 0.3, -3/7, -12, v.
-12, v, -3/7, 0.3
Suppose -2*n + 18 = 2*y, 10*y = 7*y - n + 27. Let o be 120/28 - (-2)/(-7). Put o, 1, y in descending order.
y, o, 1
Let v = 73444 + -7344507/100. Let r = v + 8/25. Let y = 16 + -14. Sort 4, y, r.
r, y, 4
Let p(d) = -d + 15. Let o be p(0). Let z = o - 13. Let y be -2 + 1 + z + 0. Put 4, 3/8, y in increasing order.
3/8, y, 4
Suppose 0 = -s - 0*s + 7. Let c = 13 - s. Suppose c = 4*k - 2*a, 3*k - 2*a + 3 = a. Put 0.2, -1, k in decreasing order.
k, 0.2, -1
Let o(s) = -2*s + 43. Let y be o(22). Sort 4, -3, -4, y in descending order.
4, y, -3, -4
Let z(p) = -5*p + 5. Let c be z(5). Let f be 2/(-10) + (-614)/c. Let u = 31 - f. Put u, 5, 0.4 in decreasing order.
5, u, 0.4
Let z = -2.08 + 2.14. Put z, 1/3, 1, 4 in descending order.
4, 1, 1/3, z
Let k(p) = -p**2 - p + 1. Let n(u) = u**3 - 6*u + 3. Let i(w) = -3*k(w) + n(w). Let f be i(-4). Put f, -1, 15 in descending order.
15, -1, f
Suppose 93 = -9*u + 120. Suppose -7*k = -3*k - 8. Let o(h) = -h**2 - h + 6. Let t be o(-3). Put t, u, k in descending order.
u, k, t
Let u = 1397 - 1392. Sort u, 4, -4, -3 in descending order.
u, 4, -3, -4
Let n be -3 + (-3)/((-6)/2). Let g(y) = -4*y**2 + 6*y + 1. Let l be g(2). Put -4, n, l in decreasing order.
n, l, -4
Suppose -32 - 16 = 2*s. Let x be -3*(-4)/18*s. Let q = -13 - x. Put -7, -5, q in ascending order.
-7, -5, q
Let b be 1/2 - (-14)/4. Let k be (-14)/(-6) - (-2 + (-24)/(-18)). Suppose 3*s = -k*w, -4*w + 4 = -s - 1. Put w, 3, b in descending order.
b, 3, w
Suppose -8 = 3*z - 2*s, 5*s = 2 + 3. Suppose f - 8*f = -21. Put -9, f, z in descending order.
f, z, -9
Let s = -453 - -456. Suppose 0 = 3*o - 3*g + 15, 2*o - 2*g = o - 6. Sort 0, -3, o, s in increasing order.
o, -3, 0, s
Suppose 3*t + 5*h = 3, 40*h + 3 = 3*t + 35*h. Suppose -8*i - 15 = -3*i. Sort i, 3, t in increasing order.
i, t, 3
Let t be 3 + (-165)/(-3) - 9. Sort 0, t, -11 in descending order.
t, 0, -11
Suppose h - 6*h - 2 = -2*m, -h = 2*m + 10. Let g be 4*((-17)/(-2) - 2). Suppose -5*t + g = 1. Sort -5, t, m in decreasing order.
t, m, -5
Suppose 4*f - 2*c + 54 = 0, 4*c = c - 3. Let w be (12 + f)/(2/(-5)). Suppose -35 = -w*r - 0*g - 5*g, -4*r - 5*g = -33. Put 3, r, -1 in increasing order.
-1, r, 3
Let g = 20 + -21.6. Let z = g - -6.46. Let w = z - -0.14. Sort w, -5, -3 in descending order.
w, -3, -5
Suppose -2*s + 10 = 5*y - 25, 0 = s + 5*y - 30. Sort -2, 1, s, -1.
-2, -1, 1, s
Let s = -4 - -3. Let z = -114 - -568/5. Put 2/15, 2, s, z in ascending order.
s, z, 2/15, 2
Let o(b) = -5*b + 154. Let p be o(30). Sort -3, 103, p in descending order.
103, p, -3
Let h = 27 + -23. Suppose 2*f - 7 = -4*o - 19, 3*f + 17 = -5*o. Let n = 4 + -1. Sort h, n, f.
f, n, h
Let v = 27 + 26. Put 0, 2, 4, v in decreasing order.
v, 4, 2, 0
Let i = -1099/2442 - -19/66. Put 1, i, 1/3 in ascending order.
i, 1/3, 1
Let m = -3 - -2.5. Let h = 169.284 + -0.284. Let f = h - 164. Sort m, f, -4.
-4, m, f
Let g = 9/29 + 24/203. Sort 3/5, -1, g, -0.6 in ascending order.
-1, -0.6, g, 3/5
Let d(p) = -3*p - 10. Let w be d(-7). Let a = w + -15. Let i be (-4)/(a/(4/2)). Sort 4, i, 1 in descending order.
4, i, 1
Let g(f) = -f**2 + 3*f + 56. Let c be g(9). Let i = 3 - 7. Let z = -60.2 - -60. Sort c, z, i in descending order.
c, z, i
Let c = -2.4 - -2.7. Put -1/2, c, 2, -2 in increasing order.
-2, -1/2, c, 2
Let r = -121 - -121.1. Let f = 0.21 + 0.09. Put r, -0.4, f in decreasing order.
f, r, -0.4
Let z(b) = -b**2 + 5*b + 2. Let l be z(-4). Let w be (-2)/(-21)*51/l. Put -2/7, w, 0.2 in descending order.
0.2, w, -2/7
S | {
"pile_set_name": "DM Mathematics"
} |
o 12 and i have different values?
True
Suppose 7*r - 3 = -10. Let c = 565 + -2813/5. Let g = 7/3 - c. Which is smaller: r or g?
r
Let y = -4.14 + 4.04. Let u = -113 + -31. Is y greater than u?
True
Suppose -4*n - 8 = 4*w - 0*n, 5*n + 17 = 2*w. Suppose 0 = -2*i + 2*k + 3358, 0 = -28*i + 27*i + 5*k + 1691. Let v = i + -73741/44. Is w at most as big as v?
False
Suppose -26*v + 443 - 172 + 561 = 0. Is v smaller than -46?
False
Let q be (-3)/(1 + 2) - -4*79. Let p = -2861/9 + q. Let c = 12 - 11. Is p <= c?
True
Let y = -621 - 214. Let t = y - -818.26. Let n = -0.26 + t. Is 0 < n?
False
Let j = -262432 + 3449668636/13145. Is j at most as big as -1?
False
Let f be -25 + -2 - (2 + -1). Suppose -4*p - 116 = 4*b - 3*b, b - 3*p + 88 = 0. Let m = b - -72. Are f and m nonequal?
False
Let f = -9 - -19. Let g = -138.8 + 18.8. Let r = -120 - g. Which is smaller: r or f?
r
Let f = -70.35 - -221.36. Let u = f + -151. Does u = -5?
False
Suppose 7*m - 150 = 13*m. Suppose -p = 5*w + 4*p - 50, 3*w + p - 34 = 0. Let z(j) = -j**3 + 13*j**2 - 15*j + 11. Let v be z(w). Is v bigger than m?
False
Let k be (4/(-18) - (-50)/225)/(1 - 3). Does -20208 = k?
False
Suppose -86*h = 128*h + 66*h + 9520. Which is greater: h or 22?
22
Let l = 7771.1 - 7775. Is l at least -30?
True
Let l = -2803443 + 1132594975/404. Let v = l - 16/101. Let q = -619 + 629. Is v at most as big as q?
True
Let v = -6537 - -6540. Let z be (3 + -2)/(17/(-2)). Which is bigger: v or z?
v
Suppose -96*m = -113*m - 1394. Are m and -404/5 unequal?
True
Let s(x) be the second derivative of -7*x**3/6 + 15*x**2/2 - 186*x. Let k be s(2). Which is bigger: 6 or k?
6
Let i = -6503/4 + 57911/36. Let y = -13 + -3. Is i greater than y?
False
Let v = -6135 - -6141. Let k = 17 + -35. Let w be (v/(-7))/(k/126). Which is bigger: w or 23/4?
w
Suppose 2 = -c - 5*h, c + h - 1 = -3. Let q be ((-3)/6)/((-4)/(-56)). Let t(l) = l**3 + 7*l**2 + l + 4. Let a be t(q). Which is smaller: a or c?
a
Let h be 0 + 0/(-4) - (-2 + 45). Let z = 44 + h. Let x be (-2 + z)/((-618)/(-12)). Which is bigger: 1 or x?
1
Suppose c + 3*z - 1468 = 1035, 0 = -4*c + 8*z + 10052. Do c and 2509 have the same value?
True
Let d(i) = 2*i**3 - 24*i + 84. Let w be d(8). Let u = -906 + w. Is 1 greater than u?
False
Suppose -288 = 35*x - 27*x. Let v be (0 + 5)/(4*9/x). Let t(j) = -5*j - 26. Let p be t(v). Is p smaller than -5/22?
True
Let l = 78249 + -41941449/536. Let d = -2721/268 + l. Is -11 at most as big as d?
True
Suppose -26*j + 29*j = -249. Let p = -88 - j. Suppose 4*d = 0, 4*d + 3 = 3*f + 15. Is p smaller than f?
True
Let n(y) = y**3 - 11*y**2 + 9*y + 10. Let f(c) = -2*c + 31. Let o be f(5). Let h = -11 + o. Let d be n(h). Which is bigger: d or -4/29?
d
Let c = 223 - 56. Suppose 0 = 5*j - 7*j + 5*m - c, -5*j = -4*m + 392. Is -77 less than or equal to j?
True
Suppose 7 = 2*n + 29. Suppose 43*z + 14 = 36*z. Let o be z + -2 - (10 - 8). Is o <= n?
False
Let f = -7872 + 7859. Is f greater than or equal to 156?
False
Let u(z) = z**3 - 2*z**2 - 7. Let j be u(3). Suppose j*d - 2 = -8. Let p be d/(-21) - 78/(-1218). Which is bigger: p or -1?
p
Let m(w) = 39*w**2 + 8*w - 5. Let k be m(4). Let d be ((-2)/3)/(84/k). Which is greater: -5 or d?
-5
Suppose 0 = -2*m + 4*f + 20, 4*m + 10 = -4*f + 2*f. Suppose m*b + 30 = -6*b. Do -6 and b have the same value?
False
Let g = 17.3 + -17.284. Suppose -2*d + 4*d = 24. Let f be ((-3)/(-2))/(45/d). Which is greater: g or f?
f
Let u = -2 - -4. Let q be -1 + u + -8 + 19. Suppose -4*v + v + 2*h = -4, 4*v + 4*h - q = 0. Are v and 3 unequal?
True
Let c = -453.626 - -0.626. Let g = -436 - c. Which is bigger: 2 or g?
g
Let r = -2/8777 + -16540/4449939. Do 1 and r have the same value?
False
Let l = 0.05999 + 0.03001. Which is smaller: 88/3 or l?
l
Let z = 4479 + -4484. Which is smaller: -20/11 or z?
z
Let j = 12 - 11. Suppose -t + g + 39 = 0, t - 39 = -12*g + 10*g. Let n be (-3)/t*(-2)/4. Is n at most as big as j?
True
Suppose -3*v - 842 = -n + 483, -4*v - n - 1769 = 0. Let a = -637 - v. Is -195 at most as big as a?
True
Let n = 49.118 + -0.118. Let o = n - 48.979. Let s = o + -35.021. Is 0 >= s?
True
Let y be (-13593)/(-105) + 3 + 1748/95 + -19. Which is bigger: 131 or y?
y
Let d = -51925/6 + 8726. Which is bigger: 72 or d?
72
Let z = -23590 + 16449. Is -7141 >= z?
True
Let o be ((-12)/5 + 2)*(-530 - -10). Let g = o + -84. Does 123 = g?
False
Let b = -840 + 832. Let u be (-24)/b + 105/(-34). Which is bigger: u or 0?
0
Let d(j) = 3*j**2 - j - 16. Let v be d(0). Let h be 111/12 + (12/v)/3. Which is smaller: 8 or h?
8
Let n = 218 - 217. Let w be (-2*(-104)/(-48))/(n/(-18)). Let y(k) = k**3 - 4*k**2 - 10*k + 2. Let f be y(7). Which is smaller: w or f?
w
Let o = 557 - 545. Let k be -4 - 801/(-54) - (-2)/o. Is 13 less than or equal to k?
False
Let c be (216/1890)/(4/14) - (-166)/(-40). Is 26/9 less than or equal to c?
False
Let t = 0.08 - 12.08. Let w(g) = g + 15. Let n be w(-11). Let o be ((-2)/n)/((-30)/4 + 6). Is t < o?
True
Suppose -27378 = -138*v + 1993 + 7475. Let i(c) = -c**3 + 14*c**2 - 5*c + 8. Let a be i(6). Is a <= v?
True
Let a(j) = -j**3 + 9*j**2 - 9*j + 8. Let g be -4 + (-3)/(-7 - -4). Let c be 3/((-45)/40)*g. Let o be a(c). Which is greater: o or -2?
o
Let a be (6/(12/(-242)))/(-4). Let l = -31 + a. Let d = -6.7 + 6.3. Which is smaller: d or l?
l
Let k(r) = 7*r + 53. Let w be k(-14). Let d = 45 + w. Is 7 not equal to d?
True
Let u = 16105/7049 + 1/1007. Let k be 5 + (2 - 3 - 2). Which is bigger: k or u?
u
Let l = -6 - -8/3. Let w = -6/109 - -1022/2725. Let b = w + 9/50. Which is smaller: b or l?
l
Let b = 2/10465 + 11792/47814585. Which is bigger: b or 1?
1
Let q be 7/(-1) + ((-1456)/65)/(-8). Let h be (2 - 1) + 9/(-3). Let x = h - 1. Which is bigger: q or x?
x
Let d = -781 + 36709/47. Which is smaller: d or 5/6?
d
Let q be (-10)/(-4)*(-6 - -4). Let t(g) = -2*g**2 - 6*g + 3. Let j be t(q). Suppose -80 - 64 = 8*n. Are n and j equal?
False
Let p = -556.14 + 786.17. Let l = 230 - p. Is -1 greater than l?
False
Suppose -9821 = -c - 9389. Which is bigger: c or 433?
433
Let q = 3012 + -2965. Let o = 53 - 98. Let z = o + q. Is z > -11?
True
Let z = -5 - -3. Let k = -141 + 179. Suppose 7*t - k = -3. Is t less than or equal to z?
False
Let s(g) = -3*g**2 - 64*g - 707. Let n be s(-68). Is -10227 > n?
False
Suppose 2*l = 2*g + 264, 3*g - 9*l + 10*l = -372. Are g and -132 non-equal?
True
Let c(i) = i**3 - 12*i**2 + 17*i + 1. Let q = 6 + 1. Let a be c(q). Is a less than -125?
False
Let v = 105 + -109.7. Let j = v + -18.3. Let r = 25 + j. Which is smaller: r or 12?
r
Let u be -8 - 97*(-6)/(-30). Let t = 136/5 + u. Which is bigger: 254 or t?
254
Suppose -10*g - 103 = -113*g. Is -2/5505 > g?
False
Suppose 4*l - 30 = -34, 5*l + 1195 = 5*t. Are t and -6/17 equal?
False
Let h = 66 + -65.8. Let t = 27 - 23. Let p be 64/(-296)*(-1)/t. Which is smaller: h or p?
p
Suppose 146*m - 131*m - 11880 = 0. Let j be (10/50)/(0 + m/(-10)). Do -2 and j have the same value?
False
Let i be 49761/(-342)*16/6. Is i bigger than -1160/3?
False
Let r be 1706/4 - (-9)/(-18). Suppose 0 = -4*t - 0*t - 3*u - 425, -4*t - 2*u - r = 0. Which is bigger: t or -106?
-106
Let u = -68 + 69. Let i = -1 + u. Let o = 1.1 - 1.086. Is i at least o?
False
Suppose 0 = 5*v - 2*w - 29 - 13, 5 = v + 3*w. Let a be 2/v - (-63)/36. Suppose a*g = 3*z + 151, -4*g + 2*g = z - 131. Is 68 at most g?
True
Let j = 120 - 106. Let w = j - 15.2. Let s be ((-3)/(-9))/((-14)/12). Which is smaller: s or w?
w
Let y(r) = -2*r**3 + 12*r**2 - 2*r + 11. Let l be y(6). Which is greater: l or -1/395?
-1/395
Let y = -1119 - -2056. Let b = -771 + y. Is b not equal to 1/2?
True
Let s = 645 - 645.0527. Let k = s + 0.052. Which is smaller: k or 1?
k
Let z(k) = 3*k**3 + 2*k**2 - 1. Let d be z(1). Let b(q) = 2*q**2 + 18*q + 40. Let v be b(-7). Let p be 2/(-3) + 8/v. Which is bigger: p or d?
d
Let z = -152.9 - -147. Let m = -1.05 - -0.987. Let p = m + -0.037. Is p greater than or equal to z?
True
Let f be 411647/132770 + 29/(-290) + -3. Is f at most 1?
True
Let s be (-6)/(-208) + (-27)/6 + 791/182. Which is bigger: -68 or s?
s
Let n = 1.19 + 536.81. Let l = n - 538. Is -19 at most l?
True
Suppose -5*w = 2*o + 36349, 0 = 35*o - 43*o - 56. Is -7266 at least w?
True
Let c = 418 - 192. Let o = c - 225.97. Let b = 0.7 + | {
"pile_set_name": "DM Mathematics"
} |
r a.
-5
Suppose -s = 4*g + 15 + 26, -4*s - 20 = 0. Let b = g + 12. Solve b = -2*l + 5*l for l.
1
Let o(j) = -2*j**3 - j**2 + 2*j - 1. Let f = 3 - 2. Let d be o(f). Let u be (-9)/d + (-1)/2. Solve -u*y = -2*y + 10 for y.
-5
Suppose 33*s - 36*s = 0. Solve s*y + 4 = -2*y for y.
-2
Suppose 2 = 4*p - 3*p. Solve -2 - 2 = -p*r for r.
2
Let i = 5 - -2. Solve -2*a - 1 + i = 0 for a.
3
Suppose 5*c - 4*l - 21 = -l, -10 = 5*l. Solve c*b - 5 = 2*b for b.
5
Suppose 3*f = 11 + 4. Suppose 24*b = 7*b. Solve b = f*n - 4 - 1 for n.
1
Let p(x) = 5*x**2 + 4*x - 4*x**2 - 3*x - 2*x + 4. Suppose j = 5*d - 1, -5*j + 0 = -2*d + 5. Let s be p(d). Solve -s*i = i for i.
0
Suppose -4*u + 17 = 5*x, -5*x = u - x - 7. Let r = 2 - u. Let z be (2 + r)*(6 - 3). Solve 0 = d - z*d + 10 for d.
5
Let x be (2/(-2))/((-4)/12). Suppose -34 = 2*l - x*a, 3*l + 31 = -5*a - 58. Let c = 33 + l. Solve 4*r = 2*r + c for r.
5
Let y = 124 - 119. Solve -5 = -0*r - y*r for r.
1
Suppose -4 = k + 5*z - 17, 5*k = -4*z + 23. Suppose 0 = l + 4*l. Suppose 0 = -4*s - x - x + 4, 4 = 2*s + 2*x. Solve l = -c - k - s for c.
-3
Let v = -23 + 23. Solve -3*n + 6 = -v for n.
2
Suppose 7*u - 3*u + 76 = 0. Let s = u + 28. Suppose 0 = 2*f - f - s. Solve -2*n - n = f for n.
-3
Let w = 15 - 10. Suppose -w*y - 40 = -10*y. Solve s = -3*s + y for s.
2
Let g = -13 + 32. Solve 5*i - 4 = -g for i.
-3
Suppose w - 1 + 0 = 0. Suppose 5*j - 18 = 4*i, -5*i - 7 = -j + 5. Let q be (j/6)/((-1)/(-3)). Solve -q = -r + w for r.
2
Suppose 4*o - 9 - 9 = -2*l, -13 = -4*o - l. Solve 0 = j + o*j - 3 for j.
1
Let x = 1 - -2. Let a(z) = -z**2 - z**3 - 1 - 5*z**2 + 6*z + 0*z**x. Let b be a(-7). Solve b*c = c for c.
0
Suppose -z + 1 = -5*y, -4 = 4*y + z - 5. Solve y + 5 = f for f.
5
Let j = 8 + -5. Suppose -4*o = 8, 3*z = j*o + 91 - 1. Let n be (-8)/z - 60/(-14). Solve -r - n = -5*r for r.
1
Let s(j) = -5*j - 21. Let p be s(-6). Solve -2*q + p - 1 = 0 for q.
4
Suppose s = -s - 8. Let x = 11 - s. Solve 2*u - 5 = -x for u.
-5
Suppose 4*m - 4*o - 36 = 0, 2*m + 3 = 3*m + o. Solve v + v = m for v.
3
Let q(l) = l**2 + 5*l + 3. Let i be q(-3). Let m be -3 + (-1 - -4 - 0). Let w = m - i. Solve 0 = -v - w*v + 20 for v.
5
Suppose -5*m + 4*r + 62 = 0, -35 = -5*m - r + 12. Solve 6 = 4*t - m for t.
4
Let m be (-8)/2*(-9)/36. Solve x + 1 = -m for x.
-2
Suppose -h + 0*j = 3*j + 7, -3*j = 3*h + 51. Let d(p) = -p**3 + 8*p**2 - 2*p + 3. Let m be d(8). Let s = m - h. Solve 5*u = -4 + s for u.
1
Let w(d) = d**2 - 5*d - 9. Let h be w(7). Solve 0*t = h*t - 20 for t.
4
Let k = 3 + -1. Solve f - 4 = k*f for f.
-4
Let a be 4*1 - (-3 - -5). Let q(j) = -7*j + a*j + 2*j + 2*j - 1. Let c be q(-3). Solve -c - 10 = 3*o for o.
-4
Let a = -29 - -41. Let f be 90/25 + (-2)/(-5). Suppose 4*r - y + 15 = -4*y, -5*r - 10 = 2*y. Solve -a = -r*b - f*b for b.
3
Let x(f) = -f**2 - 3*f - 1. Suppose -3*o = 2*d + 9 + 10, -2*d + 16 = -4*o. Let r be x(d). Let j be ((1 - 0)*0)/r. Solve j = m + 5 - 2 for m.
-3
Suppose 4*f + 4*n + 3 = -5, -3*n - 6 = -4*f. Suppose f = 2*c + 1 - 9. Suppose -3*y + c*m + 2 = -5*y, 0 = -2*y - m + 1. Solve -3*j - y = -7 for j.
2
Let v = 34 + -14. Suppose 7*s - 3*s = v. Solve s*r + 2 = -3 for r.
-1
Let b(a) = -a**3 - 6*a**2 + 16*a + 12. Let c be b(-8). Solve q = -3*q + c for q.
3
Let m = -15 + 15. Solve m = 2*a + 8 + 2 for a.
-5
Let m be (34/2 - 4) + -5. Solve m = 3*l - 1 for l.
3
Let u be (24/(-10))/(32/(-80)). Solve 0 = -0*o + 2*o - u for o.
3
Let p = -8 - -5. Let a(l) = l**3 - l**2 - 4*l - 4. Let x be a(p). Let c be x/(-5) - (-4)/10. Solve g + c = -g for g.
-3
Let y(r) = -7*r**3 + 2*r**2 + 2*r + 1. Let u be y(-1). Let w(h) = h**3 + h**2 - h. Let p be w(0). Solve p*v = 4*v - u for v.
2
Let q(v) = v + 4. Let d be q(4). Let s be ((-8)/(-6))/((-4)/(-6)). Suppose 5*t - 3*z = -s + 11, 3*t - 7 = z. Solve d = -t*p + 17 for p.
3
Let w = 147 - 147. Solve -3 = -k - w for k.
3
Let u be 39/4 + 1/4. Let r(i) = -i**3 + 3. Let k be r(0). Suppose -3*h + 6*v - v - u = 0, -4 = k*h - 2*v. Solve 2*f = -h*f for f.
0
Let g = -80 + 82. Solve 4*u + 6 = g for u.
-1
Suppose 2*l - 5 = 2*b - 1, 5*b = 2*l + 11. Let q = 11 - l. Solve -d = q*d + 20 for d.
-4
Let y be (-388)/(-16) - 2/8. Let j be 45/y - 3/(-24). Solve j*u = u - 1 for u.
-1
Let v be 6/(3/2 - 0). Solve -v*w = w for w.
0
Let v = 16 + -7. Let h be -1*3 - (4 - v). Solve j = -h*j - 3 for j.
-1
Let i(f) = -f + 1 + 0*f - 4. Let t be i(-6). Solve -t*k - 2 = -8 for k.
2
Let g(j) = j**2 - 6*j + 5. Let k be (4/(-3))/((-20)/210). Let h be 22/77 + 66/k. Let n be g(h). Solve n*q = 3*q - 15 for q.
5
Let t(i) = 22*i - 1. Let l be t(1). Let v be 57/l - 8/(-28). Solve -v*z - 20 = 2*z for z.
-4
Let q = -11 - -16. Let b = -3 + q. Solve -b*c - 6 = c for c.
-2
Suppose i - 4*r = 12, 2*i - 17 + 3 = 3*r. Let y(u) = 2*u + 5. Let v(f) = 6*f + 16. Let n(d) = -4*v(d) + 11*y(d). Let k be n(-6). Solve -p - i = -k*p for p.
2
Let u(v) = v**3 + 11*v**2 - 12*v + 1. Let o be u(-12). Let j be (2 + 0)*(2 - o). Suppose 3*x + x = 0. Solve x = -j*p + 4 + 2 for p.
3
Let u = 69 + -64. Solve -u*b + 17 = 2 for b.
3
Let p(l) = l**3 + 4*l**2 - 11*l + 6. Let i be p(-6). Solve -s - 2 = -i*s for s.
-2
Let l(x) = x**2 - 3*x + 2. Let t be l(2). Suppose t = 3*r - 2*r + 3. Let c be (-2)/(-2) - (r - -1). Solve -u = c*u for u.
0
Suppose -3 = x - 2*x. Suppose -5*j = o - 31, -x*o - j + 6 = -17. Solve -o = i - 3*i for i.
3
Suppose -2*i + 1 = -2*l + 3*l, -l + 4*i = -7. Solve l = -4*o - 1 for o.
-1
Let i(r) = r**2 + 10*r - 2. Let d be ((-55)/15)/((-1)/(-3)). Let k be i(d). Solve a + k = 4*a for a.
3
Let a = 9 + -8. Let i be (-1 - -7)*a/2. Solve -d = -i + 2 for d.
1
Suppose 0 = -4*l + 20 - 8. Solve 3 = l*u - 6 for u.
3
Suppose -3*s + 45 = 2*s. Solve 3*d + 0 + s = 0 for d.
-3
Let k = 14 + -9. Solve -6 = k*c - 31 for c.
5
Suppose -3 + 0 = -3*u. Suppose 6 = -2*m + 4*q - 0, 4*m = -5*q + 1. Let j = m + u. Solve -r - 4 = -j*r for r.
-4
Let k be 5/10 + (-53)/(-2). Suppose 5*r - 3*o - 3 = o, -k = -5*r - 4*o. Suppose 0 = -r*w + 3, -2*f - 2 + 9 = -w. Solve g + f = -g for g.
-2
Let l(d) = d**2 + 10*d + 12. Let h be l(-9). Solve h*j = -j + 8 for j.
2
Suppose 3*b - 20 = -2*b + s, 5*b = -s + 10. Solve b*v - v = 0 for v.
0
Let t = -35 + 55. Suppose t = 3*g + 2*g. Solve g*s - 6 - 2 = 0 for s.
2
Let o = 12 + -10. Let i be (-14)/(-35) - o/5. Solve -p - p = i for p.
0
Suppose 0 = 40*g - 35*g - 5. Solve 2*c = -g - 9 for c.
-5
Suppose -4*g - 3*a = 6, 0*g + 5*g + 8 = -4*a. Solve g*b + 1 = b for b.
1
Let o be (-10)/4*4/(-10)*4. Solve -10 = o*z + 2 for z.
-3
Let f be ((-25)/125)/((-2)/20). Let s = -2 + 12. Solve s = -0*x - f*x for x.
-5
Let c = -21 - -22. Solve -c = 3*p - 7 for p.
2
Let a = -65 - -67. Solve -7 + 15 = -a*i for i.
-4
Let q(v) = v**3 + 9*v**2 + 7*v - 11. Let p be q(-8). Let s be p + 10*(-2)/(-4). Suppose s*o - 16 = -2*o. Solve 5*l - 3*l = o for l.
2
Let c be ((-4)/10)/((-1)/(-5)). Let g = 5 + c. Suppose -g*r = -6 - 0. Solve -r*h + h + 5 = 0 for h.
5
Suppose -3*w + 5*u - 11 = 0, -4*u - 2 = -3*w - 9. Suppose -36 = -0*l - w*l. Let g = l - 6. Solve 5*v + g = 2*v for v.
-2
Let p(c) = c - 5. Let j(u) = -u**2 + 8*u - 4. Let i be j(6). Let v be p(i). Solve 5*y - 10 = v*y for y.
5
Let d(q) = q - 15. Let j be d(17). Suppose j*f = f. Solve k = -f - 1 for k.
-1
Let f = 30 - 18. Let y(g) = -2*g + 12 + 2*g - g. Let t be y(f). Solve -3*i + 0*i + 6 = t for i.
2
Suppose -7*u - 3*o = -2*u + 33, 0 = -3*u + 5*o - 47. Let k = -4 - u. Let i = 5 - k. Solve i = -5*l + 5 for l.
1
Let s(r) = r**3 - 9*r**2 - 11*r + 10. Let l be s(10). Solve -n - n + 8 = l for n.
4
Let x = 6 - 0. Let m be (x*1)/(6/3). Suppose 0*b = 2*a - 5*b - 28, 3*b = -m*a. Solve -a*p + 0*p + 12 = 0 for p.
3
Suppose -2*a + 2*l = 2, -3*l + 8 = 4*a - 4*l. Solve -a*r = -7 - 5 for r.
4
Suppose 0 = 3*z + 2*d - 14, 0 = z - 2*d - 3 - 7. Let o(i) = i + 2. Let j be o(2). Suppose 9*m = 4*n + j*m - 15, 15 = 5*n - 5*m. Solve -z*v + v = n for v.
0
Suppose q = 5*n - 42, -6*n - 4*q + 21 = -5*n. Let i = 6 + -3. Let x(c) = c**3 + 3*c**2 - 11*c - 5. Let p be x(-5). Solve -i*a = -p*a + n for a.
-3
Let i be (10 + (2 - 2))*2. Solve -i + 4 = 4*s for s.
-4
Let r = 1 + -2. Let k be ((-3)/r)/((-4)/(-4)). Suppose k*b - 10 = 20. Solve -3*d + b = -d for d.
5
Let a(o) = -o**2 + 2*o - o**3 - 2 + o + 2*o**2. Let q be a(2). Suppose -v - v = q. Solve v = g - 5*g - 12 for g.
-3
Let t be | {
"pile_set_name": "DM Mathematics"
} |
= -677 + 681. What is v(l)?
19
Let t(z) = z**3 - 9*z**2 + 4*z + 7. Let q(y) be the first derivative of y**3/3 + 18. Let w(o) = 2*q(o) + t(o). Calculate w(6).
-5
Let q(s) = s**2 - 6*s - 2. Let f = 317 - 312. What is q(f)?
-7
Let s(j) = 2*j + 0*j**2 - 3*j - 6*j**3 - 2*j**2. Let h(p) = -3*p**2 - 38*p - 25. Let v be h(-12). Determine s(v).
5
Let r(c) = -15*c**2 + 3*c + 24 + 20*c**2 - c**3 - 15*c**2. Determine r(-10).
-6
Let i(d) = 1 + d**2 + 5*d + 4 + 1. Suppose z - 10 = 10. Let l = 15 - z. Determine i(l).
6
Let v(n) be the first derivative of n**2/2 - 7*n - 1. Suppose -30*z + 3*g + 7 = -29*z, -5*g + 15 = z. Give v(z).
3
Let a = -13 - -13. Let n(g) = 2*g - g**3 + a*g**3 + g**2 + g**2 - g**2. Let y(k) = k**2 + 5*k + 6. Let o be y(-4). Determine n(o).
0
Let w(y) = y**2 + 5*y - 2. Let h(a) = a - 6. Let f be h(14). Suppose f*d = -47 + 7. Calculate w(d).
-2
Let l(p) = -p**3 - 7*p**2 - 6*p - 3. Let j be l(-6). Let q = 7 - 5. Let f(u) = 2*u + 4 + 2*u + 2*u**2 + u**2 - q*u**2. What is f(j)?
1
Let x be (-2)/4*20/10. Let d(p) = 10*p**3 + 2*p**2 - 3*p - 4. Let t be d(x). Let b(k) = -k**3 - 9*k**2 + k - 11. What is b(t)?
-20
Suppose 5*y - d = -25, -4*y + 8*y = 3*d - 31. Let a(r) = 2*r**2 - 3*r + 4. Determine a(y).
48
Let l(n) = -45*n**2 - n**3 + 2 + 1 + 19*n**2 + 3*n**3 + 28*n**2. Determine l(-3).
-33
Suppose 8 = -2*r + y - 2*y, 0 = y + 4. Let p(h) = -2*h + 1. Calculate p(r).
5
Let h(u) = 11*u**2 + 11 - 10 - 2*u - 9*u**2 + 3*u + u. Let s(g) = 2*g - 2. Let x be s(6). Suppose 4*a = -a - x. Calculate h(a).
5
Let t(d) = -d + d**2 + 632*d**3 - 1266*d**3 - 1 + 632*d**3. What is t(2)?
-15
Suppose v + 4*v + 15 = 0. Let b(q) be the second derivative of q**5/20 + q**4/6 - q**3/2 - 2*q**2 - 3*q. Determine b(v).
-4
Let v(n) = 41*n + 24. Let i(u) = 8*u + 5. Let k(j) = 11*i(j) - 2*v(j). Let z(c) = c + 1. Let b(r) = 6*k(r) - 34*z(r). What is b(-6)?
-4
Let b(n) be the first derivative of -n**3/6 + 3*n**2/2 + 2*n - 30. Let c(a) be the first derivative of b(a). What is c(8)?
-5
Let j(d) = -3*d**2 - 3*d + 3. Let p = 58 + -57. Suppose 5*b - 14 = -2*v, 3*v + 4 + p = -b. What is j(v)?
-15
Let g be ((-72)/60)/((-7)/(-10) - 1). Suppose g*p - 46 = -5*r, -2*r + 2*p + 32 = r. Let k(s) = s**2 - 9*s - 4. Give k(r).
6
Let u = 480 - 487. Let m(p) = 2*p + 16. Determine m(u).
2
Let j(z) = 21*z + 4. Let v(y) = 16*y + 6. Let g(i) = 3*j(i) - 4*v(i). Determine g(-4).
-8
Let v be 28/(-6)*42/(-49). Let z be (2 + -5 + v)/(-1). Let f(a) = -11*a**3 - a**2 + a + 1. Determine f(z).
10
Suppose -d = -0*d. Let f(a) = -9 + 2 + d*a + a. Let t(g) = -g + 6. Let p be t(0). Give f(p).
-1
Suppose 0 = -0*y + 3*y - 12. Suppose -m - 12 = -5*i, m = -y + 2. Let t(r) = -2*r**i + 0 - r**3 + 5*r**3 + 4*r**3 + 1. Give t(-1).
-9
Let z = -312 + 310. Let f(a) = -4*a - 1. Give f(z).
7
Suppose 2*a + 2 - 6 = 0. Let n = a + -1. Let r(f) = 3*f + 2*f + n - 2*f. Calculate r(-3).
-8
Let b(y) = -2*y - 1. Let f be -561*3*4/(-36). Suppose -182 + f = -i. Give b(i).
9
Let r(a) = a**2 - a + 25. Let h be r(0). Suppose -3*c - h = -8*c. Let w(k) = -k**3 + 3 - c*k**2 + 5 + 12*k - 3*k. Determine w(-6).
-10
Let m be (1 - 36/48) + (-7)/(-4). Let q(r) = 5*r**3 + r**2 - 3*r + 2. Give q(m).
40
Let b(h) = 5*h**3 + 20*h**2 - 3*h - 20. Let j(k) = -2*k**3 - 7*k**2 + k + 7. Let y(q) = -6*b(q) - 17*j(q). Let c be 9/18*(2 + -4). Calculate y(c).
-5
Let b(j) be the second derivative of -j**3/6 + 9*j**2/2 - 47*j - 2. Suppose -7 - 2 = -3*g. Let l = -3 + g. Calculate b(l).
9
Let q(o) be the third derivative of -1/6*o**3 + o**2 + 0*o + 1/24*o**4 + 0. Determine q(-6).
-7
Let v(c) = -6*c. Let q be v(1). Let y(b) = 7*b**2 - 2*b + 5 + b**3 - 13*b + 8*b + 12*b. Calculate y(q).
11
Let m(t) = -8 - 5 - 7*t - 7 + 25. Let z be m(1). Let b(k) = -2*k + 2. Give b(z).
6
Let i = 26 - 36. Let g = 12 + i. Let r(q) = 0*q**g - 1 + q + q**2 + 2*q + 2. What is r(-2)?
-1
Let j(p) = -2*p**2 - 3*p + 1 + p**2 + 4*p. Let q(v) be the first derivative of v**4/4 + 6*v**3 + 31*v**2/2 - 13*v + 3. Let i be q(-16). What is j(i)?
-5
Let i(z) be the first derivative of 0*z**2 - 19 + 1/4*z**4 + 4/3*z**3 - z. Give i(-3).
8
Let n(o) = 3*o + 2. Suppose 2*m - 16 = -2*q + 3*m, -5*m - 38 = -3*q. Let s be (32/q + -5)/(2/(-12)). Determine n(s).
-4
Let o(n) be the first derivative of 2*n**4 + 2*n**3/3 - n**2 + n + 2. Suppose 0 = y + 3, 8 = -7*t + 3*t - 4*y. What is o(t)?
9
Let r(a) = 6*a - 6. Let k(q) = 7*q - 7. Let p(g) = -5*k(g) + 6*r(g). Suppose -13 = z - 5*n + 3*n, 0 = -2*z - 2*n - 2. Determine p(z).
-6
Suppose 0 = 8*z - 13*z + 765. Let h(n) = 150*n - z*n + 0 + 6. Determine h(6).
-12
Let b(d) be the third derivative of d**4/24 - 7*d**3/6 - d**2. Let f(g) = 44*g - 38. Let p be f(1). Determine b(p).
-1
Let v(k) be the third derivative of k**4/6 + 2*k**3/3 + 187*k**2. Determine v(6).
28
Let g(f) = -16*f**2 + 4*f - 9. Suppose b - 2*z = -15, -13 + 3 = -5*z. Let y(t) = -3*t**2 + t - 2. Let n(k) = b*y(k) + 2*g(k). What is n(3)?
4
Suppose 2*c = -3*y + 33, 2*y - c + 4*c - 27 = 0. Let f(s) = s. Determine f(y).
9
Let l(o) be the second derivative of -o**7/2520 - 2*o**4 - 18*o. Let b(t) be the third derivative of l(t). Calculate b(1).
-1
Let c(p) = p**2 + 13. Let k = -106 + 106. Determine c(k).
13
Let i(n) = -n**2 + 9*n. Let a = 728 - 721. Calculate i(a).
14
Let g(m) be the first derivative of -m**4/4 + 4*m**3/3 + 3*m**2/2 + 3*m - 1. Let i be (0 + 1)*(3 + -1)/((-74)/(-185)). Calculate g(i).
-7
Let d = 5 - 4. Let s(n) be the second derivative of -n**3/2 + n**2/2 + 9*n. Determine s(d).
-2
Let h(i) = -i - 4. Let y = 17 + -1. Let v = y - 12. Give h(v).
-8
Let j(r) = 13 + 15*r + 12 - 27*r + 13*r. Give j(-18).
7
Let p(g) = -65*g - g**2 - 60*g + 3*g**2 + 124*g. Give p(-1).
3
Suppose -2*z = i - 17, -2*i - 22 - 34 = -5*z. Let w(j) = -j**2 + 11*j - 6. Determine w(z).
4
Let z(u) be the first derivative of 3*u**2/2 + 6*u - 6. Let v(r) = 31 + 12*r + 9*r - 7*r + 2*r. Let f(j) = -4*v(j) + 22*z(j). Calculate f(-6).
-4
Suppose 2*c - 5*l - 13 = 0, -4*l + 0*l = -12. Let d = -5 + c. Let x(y) = 3*y - 7*y + d*y**2 + 1 + y + y. What is x(1)?
8
Let c be 2*(0 + 10 - 0). Suppose b = -4*f + c, 0 = f + b - 2. Let d(t) = -6*t + 4*t**2 - f + 0*t**2 - 5*t**2. Calculate d(-5).
-1
Suppose r - 5 = 4*s - 15, -19 = -2*r - 5*s. Let t(x) = -x**3 + x - 1. Give t(r).
-7
Let j(m) = m**2 - 5*m + 2. Let f be j(5). Let r(n) be the first derivative of 8*n**2 + 67. Let a(t) = -3*t. Let i(b) = f*r(b) + 11*a(b). Determine i(-6).
6
Let j = -257 - -244. Let m(o) = o**2 + 13*o + 18. What is m(j)?
18
Let a(k) be the second derivative of -k**5/20 + k**4/2 + 5*k**3/6 - k**2 + 28*k + 2. Calculate a(7).
-16
Suppose -g = -3*g - 4. Let l be 18/(-18) - (g + 4). Let f(t) = 8*t - 2. Give f(l).
-26
Let j(s) = -2*s**2 + 9*s - 13. Let g(u) = u**2 - 8*u + 14. Let v(w) = 3*g(w) + 2*j(w). Calculate v(-8).
0
Let l(d) = d**3 + 8*d**2 + 5*d - 9. Let b = -25 + 18. Let k be l(b). Let s(z) = -z - 2. Let f(i) = -5*i + 3. Let n(p) = -f(p) + 4*s(p). Calculate n(k).
-6
Let q(j) = j**2 + 3*j + 4. Let l be q(-3). Suppose -b + l*b = 3. Let v(r) = 10*r**2 - r + 8*r**3 - 4*r**2 + r**2 - 6*r**2. What is v(b)?
8
Let r be (3/2)/((-3)/(-2)). Let n(c) = -10*c. Determine n(r).
-10
Suppose 0 = 2*j - 5 - 1. Let k(f) = 2*f**3 - 2*f - 4*f**2 - 8 + 2 - 3*f**j. Suppose -41 = 5*z - 3*a, -4*z + 0*z + 4*a - 44 = 0. Calculate k(z).
2
Let k(p) be the second derivative of p**5/10 + p**4/12 - p**2 + 387*p. Let l = 0 + -2. Determine k(l).
-14
Let o(r) be the third derivative of r**4/6 + r**3 + 21*r**2. Let f(n) = 3*n + 5. Let u(d) = 3*f(d) - 2*o(d). Calculate u(-6).
-3
Suppose -4*x = -7*x. Suppose x = 5*d - 17 + 2. Let f(n) = -d*n + 4*n - n**2 - 1 + 12*n**3 + 0 - 4*n**3. Determine f(1).
7
Let o(x) = -3*x**2 + 3 - 10*x**2 - 6*x + x**2 + 11*x**2. Determine o(-7).
-4
Let p(f) = -f**3 - f**2 - 3*f - 4. Let x(l) = l**2. Let k(v) = p(v) + 6*x(v). Let j = 101 - 50. Let w = j - 47. What is k(w)?
0
Suppose -5*c + 9 = 3*o + 34, -2*c - 2*o = 10. Let z(r) = 49*r - 27*r - 12 - 21*r + 10. What is z(c)?
-7
Let v(p) = 9*p**2 + 25 - 7*p + 7*p - 24. Let j be 2 + 0 - (16 - 15). Determine v(j).
10
Let b(i) = -2*i**3 - 30*i**2 - 26*i + 24. Let q be b(-14). Let m(o) = 3*o + 12. What is m(q)?
0
Let b(k) be the third derivative of k**4/8 - k**3/6 - 13*k**2. Give b(-1).
-4
Suppose 193*c = 188*c - 15. Let k(i) = -i**2 - 2*i + 4. Giv | {
"pile_set_name": "DM Mathematics"
} |
**3 - o**p wrt o?
-60*o**2
Suppose 4*p - 8 = -4*k, 5*k - 2*p + 2 + 2 = 0. Let x(v) = v**3 + v**2 + v + 6. Let w be x(k). What is the third derivative of 3 + 3 + 4*n**4 - w + n**2 wrt n?
96*n
Let h be ((-3)/(-9))/(4*1/4). Let u(m) be the third derivative of 0 + 0*m - 1/24*m**4 + 2*m**2 - h*m**3. What is the first derivative of u(r) wrt r?
-1
What is the third derivative of 22 - 3*b**6 - 22 - 4*b**2 wrt b?
-360*b**3
Find the second derivative of 10*v + 54 - 54 - 30*v + 28*v**2 wrt v.
56
Suppose 7 = 4*t - 13. Let k be 3*4/30*t. What is the second derivative of 5*v - v**2 - v + 0*v**k - 2*v wrt v?
-2
Let r(o) be the first derivative of -5 - 3 + 3*o - o**2 + 6. Find the first derivative of r(c) wrt c.
-2
What is the first derivative of 15*c**4 + 8 - 4 + 1 wrt c?
60*c**3
Let g(l) = -15*l + 14. Let z(n) = 7*n - 7. Let j(r) = -2*g(r) - 5*z(r). What is the first derivative of j(t) wrt t?
-5
Find the first derivative of 2 + 11*f**3 - 4*f**3 - f**3 - 11 wrt f.
18*f**2
Find the second derivative of 2*g**5 + 4*g**5 - g + 4*g**5 - 11*g**5 wrt g.
-20*g**3
Let u(r) be the first derivative of -5/2*r**2 + 0*r**3 - 7 + 0*r + 7/4*r**4. Find the second derivative of u(j) wrt j.
42*j
Let l(u) = -u - 1. Let b(j) = -4*j - 9. Let a(h) = -b(h) + 5*l(h). Let f(o) = 3. Let k(q) = -2*a(q) + 3*f(q). Find the first derivative of k(x) wrt x.
2
Find the second derivative of 9*d - 3*d + d**2 + 3*d + 0*d wrt d.
2
Find the second derivative of 29*c**4 - 29*c**4 + 7*c**5 + 8*c wrt c.
140*c**3
Suppose 4*b = -b - 30. Let k(l) = -10*l**4 - 4. Let z(u) = 9*u**4 + 3. Let c(f) = b*k(f) - 7*z(f). What is the derivative of c(y) wrt y?
-12*y**3
Let z(i) = i. Let x(v) = -6*v. Let t(c) = 5*c - 1. Let a(r) = 2*t(r) + 3*x(r). Let q(p) = -a(p) - 5*z(p). Differentiate q(u) with respect to u.
3
Differentiate 178*o + 13*o**4 + 12 - 178*o with respect to o.
52*o**3
Suppose 4*a = -j - 1 + 2, 4*j - 4*a = 24. Let v = 5 - 2. Differentiate b**4 + 1 - v*b**4 - 3 + j*b**4 with respect to b.
12*b**3
Let f(p) = 19*p**2 + 9. Let c(u) = 9*u**2 + 4. Let n(a) = -5*c(a) + 2*f(a). What is the derivative of n(v) wrt v?
-14*v
Suppose 0 = 2*m + 2*m - 8. What is the first derivative of -2*v + 6*v**m - 2 + 1 + 2*v wrt v?
12*v
Suppose 2*z - 24 - 4 = 0. Suppose -2*d - 2*k = -z, -13 = 3*d - 4*d - 4*k. Find the second derivative of d*y**2 - 3*y**5 - 2*y - 3*y**2 - 2*y**2 wrt y.
-60*y**3
What is the third derivative of 5*x**2 + 0*x**2 - 2*x**5 - x**2 + x**5 wrt x?
-60*x**2
Let g(v) be the second derivative of 3*v + 0*v**2 + 1/6*v**4 + 0 + 1/6*v**3. Find the second derivative of g(n) wrt n.
4
Let x(m) = m + 3. Let a(n) = 3*n + 8. Let d(i) = 6*a(i) - 17*x(i). What is the first derivative of d(l) wrt l?
1
What is the first derivative of -2 + 0 + 3 + 2*g wrt g?
2
Let u be 3/3 + -1 + 4. Find the third derivative of c**u - 3*c**2 + c**2 + 3*c**2 - 6*c**2 wrt c.
24*c
Suppose 0 = 8*h - 4*h - 32. What is the derivative of 3*u**2 - h + 4 + 4*u**2 wrt u?
14*u
Let z = 3 - 0. What is the second derivative of 25 + z*a - 25 - 2*a**5 wrt a?
-40*a**3
What is the third derivative of l**4 + l**4 - 4*l**4 + 11*l**2 - 2*l**4 wrt l?
-96*l
Let n(v) be the first derivative of v**7/70 + v**3 - 2*v**2 + 10. Let p(y) be the second derivative of n(y). Differentiate p(m) wrt m.
12*m**3
Let p(w) be the first derivative of w**2 - w**2 + 2*w**4 - 3*w + 4 - 2*w. What is the first derivative of p(b) wrt b?
24*b**2
Let w(z) = -z**3 + 4*z**2 - 2*z - 1. Let l be w(3). Find the third derivative of 3*k**5 - k**5 + 5*k**l - 2*k**2 wrt k.
120*k**2
Suppose -m + 14 = 2*m - 4*p, -29 = 2*m + 5*p. Let n be -2 - m/(4/10). What is the derivative of -2*k**2 - n*k**2 + 2*k**2 - 3 + 0*k**2 wrt k?
-6*k
Let d(t) be the second derivative of -t**6/6 + 5*t**2/2 - 13*t. Differentiate d(b) with respect to b.
-20*b**3
Let z(w) = -4*w**3 - 3*w**2 + 6. Let t(s) = s**2 + 1. Let d(f) = -3*t(f) - z(f). What is the derivative of d(l) wrt l?
12*l**2
Let i(q) = -q**5 - q**4 - q. Let j(u) = 16*u**6 - 3*u**5 - 3*u**4 - 14*u**2 - 3*u. Let v(f) = 3*i(f) - j(f). Find the third derivative of v(m) wrt m.
-1920*m**3
Find the third derivative of -3*t**3 + 11*t**3 + 13*t**3 - 4*t**2 - 33*t**2 wrt t.
126
Suppose -2*y + 10 = 3*y. Suppose y*p - 1 = 5. Find the third derivative of -2*i**2 + p*i**4 + 3*i**2 - 4*i**4 wrt i.
-24*i
Let c(d) be the second derivative of 2*d**6/15 + 7*d**3/6 + 27*d**2/2 + 6*d. What is the first derivative of c(v) wrt v?
16*v**3 + 7
Let d = 26 - 22. Differentiate 1 - m**d + 6 - 2*m**4 wrt m.
-12*m**3
Let z(x) be the third derivative of 3*x**7/70 + x**3 + 8*x**2. What is the first derivative of z(k) wrt k?
36*k**3
Let n be 10/(-3)*(-1 - 2). Suppose -2*i - 2 = -n. What is the third derivative of g**4 + 3*g**2 - 2*g**2 + g**i wrt g?
48*g
Let b(s) be the third derivative of 0*s**3 - 1/24*s**4 + 0 + 2*s**2 - 1/20*s**5 + 0*s. What is the second derivative of b(y) wrt y?
-6
Let j(r) = -104*r**4 + 44*r**2 - 120*r + 44. Let z(b) = -7*b**4 + 3*b**2 - 8*b + 3. Let k(x) = 6*j(x) - 88*z(x). Find the second derivative of k(y) wrt y.
-96*y**2
Let t(p) be the third derivative of 17*p**7/210 - 53*p**3/6 - 63*p**2. What is the first derivative of t(l) wrt l?
68*l**3
Differentiate 23*z**2 - 4 - 14 + 5 + 5 with respect to z.
46*z
Let n = 5 + -2. What is the third derivative of n*d**5 + 4*d**5 + 11*d**6 + 7*d**2 - 7*d**5 wrt d?
1320*d**3
Let b(w) be the second derivative of 0 + 0*w**2 + 3*w + 1/3*w**3 - 5/12*w**4. Find the second derivative of b(u) wrt u.
-10
Find the third derivative of -48*r**6 - 10*r**2 + 40*r**2 + 34*r**6 wrt r.
-1680*r**3
Suppose -20 = -2*j - 8. Let u(k) = -k**2 + 1. Let z(m) = -2*m**2 + 9. Let f(b) = j*u(b) - z(b). Find the first derivative of f(w) wrt w.
-8*w
Let o(z) be the first derivative of 3*z**5/20 - z**3/3 + z + 1. Let g(p) be the first derivative of o(p). Find the second derivative of g(a) wrt a.
18*a
Differentiate 20 + 14*b - 2*b + 5*b - 3*b wrt b.
14
Suppose -5*p + 2*t = -5, 6*p - 3*t - 3 = 3*p. Differentiate -p - 10*h**2 + 6*h**3 + 10*h**2 - 2*h**3 with respect to h.
12*h**2
Let c(x) be the first derivative of -x**7/14 + x**4/3 - 3*x + 2. Let v(m) be the first derivative of c(m). What is the third derivative of v(k) wrt k?
-180*k**2
Suppose -3*j + 1 = 5*r + 3, 2*r + 12 = -4*j. Differentiate -3*y**2 - 6 + 0*y**r - 3*y**2 + 2*y**2 wrt y.
-8*y
Let v(z) = 3*z**3 + 10*z**2 - 23*z + 1. Let l(r) = -r**3 - 5*r**2 + 11*r - 1. Let k(b) = 5*l(b) + 2*v(b). What is the second derivative of k(x) wrt x?
6*x - 10
What is the third derivative of -8*r**6 + 48*r**2 + 42*r**6 + 213*r**5 - 213*r**5 wrt r?
4080*r**3
What is the second derivative of -2*w - 12*w**3 - 14*w + 5*w wrt w?
-72*w
Find the third derivative of -6*k**6 + 4*k**2 - 8*k**6 + k**6 + 4*k**2 wrt k.
-1560*k**3
Let j(b) be the third derivative of 3*b**6/40 + 11*b**5/60 - 7*b**2. What is the third derivative of j(s) wrt s?
54
Let m(y) be the third derivative of 0*y**6 + 0*y + 0*y**4 + 0*y**3 - 2*y**2 + 0 + 1/210*y**7 - 1/60*y**5. What is the third derivative of m(u) wrt u?
24*u
Let d(t) = -5*t**3 + 53*t**2 + 11*t + 11. Let g(r) = -2*r**3 + 18*r**2 + 4*r + 4. Let i(y) = -4*d(y) + 11*g(y). Find the third derivative of i(v) wrt v.
-12
Let a(z) be the third derivative of -7*z**5/20 - 10*z**3/3 - 7*z**2. Differentiate a(u) wrt u.
-42*u
Let h(c) = -c**2 + 1. Let u(g) = 2 - g + g**2 - 2*g**2 - 1 - g**3. Let a(q) = 3*h(q) - 3*u(q). Find the second derivative of a(s) wrt s.
18*s
Find the second derivative of -20*k**2 - 80*k + 38*k - 10*k wrt k.
-40
Let x(r) be the third derivative of r**6/60 - r**4/4 - 7*r**2. Find the second derivative of x(m) wrt m.
12*m
Suppose 7 = 2*h - 1. Find the second derivative of -2*l - l + h*l - 4*l**2 wrt l.
-8
Let w(i) = 36*i**4 + 5*i**3 - 5*i**2 + 5*i - 26. Let p(o) = -o**4 - o**3 + o**2 - o. Let y(c) = 5*p(c) + w(c). Differentiate y(l) with respect to l.
124*l**3
Let v(q) = 4*q**3 - q**4 + 4*q**4 + 3*q**4 + 9. Let u(z) = 17*z**4 + 11*z**3 + 26. Let a(m) = 4*u(m) - 11*v(m). Find the first derivative of a(n) wrt n.
8*n**3
Let j(v) = 29*v**2 - 22*v + 5. Let r(n) = -30*n**2 + 23*n - 6. Let x(k) = 6*j(k) + 5*r(k). Find the second derivative of x(t) wrt t.
48
Let c(u) be the second derivative of -9*u**6/10 + 23*u**3/6 - 64*u + 2. Find the second derivative of c(r) wrt r.
-324*r**2
Let j be 2/(-8) + | {
"pile_set_name": "DM Mathematics"
} |
241
What comes next: 1845, 3108, 4587, 6288, 8217, 10380, 12783?
15432
What comes next: -2971568, -2971569, -2971570, -2971571, -2971572, -2971573?
-2971574
What is the next term in 3266414, 3266266, 3266120, 3265976, 3265834?
3265694
What comes next: 10939, 3644, -3653, -10952?
-18253
What is next in 22398, 22338, 22232, 22074, 21858, 21578?
21228
What is the next term in -59578, -237888, -534930, -950704, -1485210, -2138448, -2910418?
-3801120
What comes next: -29189, -116658, -262439, -466532?
-728937
What comes next: -1289919, -1289911, -1289901, -1289889?
-1289875
What is next in 602, 970, 1670, 2774, 4354?
6482
What comes next: -3090782, -6181567, -9272352, -12363137, -15453922, -18544707?
-21635492
What is the next term in -49319, -99477, -149631, -199781, -249927, -300069, -350207?
-400341
What is the next term in -2582, -2046, -618, 2140, 6666, 13398?
22774
What comes next: -461, -94, 1081, 3046, 5783, 9274?
13501
What comes next: -452, -626, -1020, -1670, -2612?
-3882
What is the next term in 150528366, 150528372, 150528382, 150528396?
150528414
What is next in 295, 4419, 11293, 20917, 33291, 48415, 66289?
86913
What comes next: 24431, 23632, 22835, 22040, 21247?
20456
What is next in -102989, -205992, -308995?
-411998
What comes next: -7744, -28702, -63626, -112510, -175348, -252134, -342862, -447526?
-566120
What is next in -3204967, -6409941, -9614913, -12819883, -16024851?
-19229817
What is the next term in -626, -4315, -14240, -33491, -65158, -112331, -178100?
-265555
What is next in -1246, -2493, -3762, -5053, -6366, -7701, -9058?
-10437
What is the next term in -13298, -53426, -120386, -214178?
-334802
What comes next: -1499, -3148, -4795, -6434, -8059?
-9664
What is the next term in -14333, -16026, -17719, -19412, -21105?
-22798
What is the next term in 302947, 1211725, 2726351, 4846831, 7573171, 10905377, 14843455?
19387411
What is the next term in 73796, 295147, 664064, 1180547?
1844596
What is the next term in -401074, -802264, -1203456, -1604650, -2005846, -2407044?
-2808244
What is the next term in 1545, 3080, 4559, 5964, 7277, 8480, 9555, 10484?
11249
What comes next: -7299, -13263, -19227?
-25191
What comes next: -424519, -850109, -1275699, -1701289, -2126879, -2552469?
-2978059
What is the next term in -186690, -374619, -562542, -750453, -938346, -1126215, -1314054?
-1501857
What is next in -2481, -19380, -65283, -154704, -302157?
-522156
What is next in -550, -2255, -5048, -8893, -13754?
-19595
What comes next: 7198432, 14396861, 21595292, 28793725?
35992160
What is the next term in 11890, 23666, 35440, 47212, 58982?
70750
What comes next: -115604, -115514, -115450, -115406, -115376, -115354?
-115334
What is next in 3196503, 3196504, 3196505?
3196506
What is next in -19264, -37113, -53566, -68623, -82284, -94549?
-105418
What is the next term in 4207, 3860, 3513, 3166, 2819, 2472?
2125
What is next in 469928, 939852, 1409750, 1879616, 2349444, 2819228?
3288962
What is next in -10461, -10981, -11421, -11787, -12085, -12321, -12501, -12631?
-12717
What is next in -181194, -182155, -183116, -184077, -185038?
-185999
What comes next: 1546572, 12372525, 41757248, 98980125, 193320540?
334057877
What is the next term in -404, -2144, -5230, -9662?
-15440
What is the next term in -5621, -22449, -50477, -89699, -140109, -201701, -274469?
-358407
What comes next: 26103, 45382, 64661?
83940
What comes next: -59107, -56023, -52939, -49855?
-46771
What is the next term in -57, -553, -1325, -2373, -3697, -5297, -7173?
-9325
What comes next: 2793, 2966, 3257, 3666?
4193
What is the next term in -1510, -11182, -27270, -49774?
-78694
What comes next: 16153, 16302, 16451, 16600, 16749?
16898
What comes next: 15168977, 15168979, 15168981, 15168983, 15168985, 15168987?
15168989
What is next in -121, 243, 1215, 3095, 6183?
10779
What comes next: 120504, 120125, 119490, 118599, 117452, 116049, 114390?
112475
What is the next term in 1817204, 1817199, 1817206, 1817231, 1817280, 1817359, 1817474?
1817631
What is next in -520, -1992, -4424, -7822, -12192?
-17540
What is next in 2544, 63, -6678, -19809, -41460, -73761, -118842?
-178833
What is next in -1179493, -2358987, -3538481, -4717975?
-5897469
What is the next term in -22291, -24948, -29361, -35536, -43479, -53196?
-64693
What is the next term in 465653, 931297, 1396941, 1862585?
2328229
What is the next term in 562150, 1124302, 1686454?
2248606
What is the next term in 31377, 28706, 26035, 23364?
20693
What comes next: 30535, 61551, 92567, 123583?
154599
What is the next term in 2966, 23834, 80468, 190748, 372554?
643766
What comes next: 8825, 17512, 26199?
34886
What is next in 455099336, 910198674, 1365298012?
1820397350
What is next in -2422251, -2422277, -2422327, -2422413, -2422547?
-2422741
What is next in 8936420, 17872842, 26809270, 35745704, 44682144, 53618590?
62555042
What is the next term in 30245, 30263, 30283, 30305, 30329, 30355?
30383
What comes next: -485146, -1940610, -4366384, -7762468, -12128862, -17465566, -23772580?
-31049904
What is the next term in 2532983, 5065943, 7598903, 10131863, 12664823?
15197783
What comes next: 3040, 2993, 2914, 2803, 2660, 2485, 2278?
2039
What comes next: 22343, 44589, 66849, 89123, 111411?
133713
What is next in 325469, 1299849, 2923807, 5197337, 8120433, 11693089, 15915299?
20787057
What is next in -1983, -938, 97, 1122, 2137?
3142
What comes next: -40449734, -40449636, -40449536, -40449434, -40449330, -40449224, -40449116?
-40449006
What is the next term in 1763, 5103, 10621, 18311, 28167, 40183, 54353, 70671?
89131
What is the next term in 12023975, 12023960, 12023935, 12023900, 12023855?
12023800
What is next in -186724, -185998, -185272, -184546?
-183820
What comes next: -6080409, -12160807, -18241207, -24321609, -30402013?
-36482419
What is the next term in 7456, 7755, 8252, 8947, 9840, 10931, 12220?
13707
What is the next term in -2268740, -4537494, -6806248, -9075002?
-11343756
What comes next: 25867, 98537, 218009, 384283, 597359, 857237, 1163917?
1517399
What is the next term in -5244, -42229, -142674, -338319, -660904, -1142169?
-1813854
What comes next: -7312, -7228, -6992, -6526, -5752?
-4592
What is the next term in -52237383, -52237374, -52237359, -52237338, -52237311, -52237278?
-52237239
What comes next: -5616, -5577, -5528, -5469, -5400, -5321, -5232?
-5133
What is next in -63809, -63801, -63793, -63785, -63777?
-63769
What is next in -534643, -1069260, -1603879, -2138500, -2673123, -3207748?
-3742375
What comes next: -88321, -88077, -87833, -87589?
-87345
What is the next term in 522540, 522887, 523234, 523581, 523928, 524275?
524622
What comes next: -39289, -78584, -117875, -157162?
-196445
What is the next term in -4485, -88, 4295, 8658, 12995, 17300?
21567
What comes next: 1804, 3760, 5826, 8002?
10288
What is next in 2806, 5511, 8102, 10579, 12942?
15191
What is next in -93539, -93531, -93523, -93515?
-93507
What is the next term in 68442, 68448, 68456, 68466, 68478, 68492?
68508
What is the next term in 2333, 8188, 17953, 31628, 49213, 70708, 96113?
125428
What comes next: 115049431, 115049435, 115049439, 115049443, 115049447, 115049451?
115049455
What is the next term in -86490014, -172980027, -259470040?
-345960053
What comes next: 71394, 68335, 63246, 56133, 47002, 35859, 22710?
7561
What is the next term in -44588, -89176, -133732, -178238, -222676, -267028, -311276?
-355402
What is next in 226499, 906116, 2038811, 3624584?
5663435
What comes next: -17739, -34328, -50917, -67506?
-84095
What is the next term in -1263, -1349, -1369, -1323, -1211, -1033?
-789
What is the next term in -635264, -2541066, -5717404, -10164278, -15881688, -22869634, -31128116?
-40657134
What is next in -486, -492, -318, 180, 1146, 2724, 5058?
8292
What is next in 4462722, 4462720, 4462718, 4462716?
4462714
What comes next: -32897, -32985, -33135, -33347, -33621?
-33957
What is the next term in -856, -3988, -9212, -16528, -25936, -37436?
-51028
What comes next: -850303, -3401319, -7653013, -13605385, -21258435?
-30612163
What comes next: -45952, -183645, -413088, -734281, -1147224, -1651917?
-2248360
What is next in -484603, -1938373, -4361323, -7753453?
-12114763
What is the next term in 80114, 78911, 77708?
76505
What is nex | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when c is divided by n.
1
Suppose 505*h - 509*h = 3*x - 771, 956 = 5*h - 4*x. Calculate the remainder when h is divided by 61.
9
Calculate the remainder when 140 is divided by 3/(4 + 235/(-60)).
32
Suppose 68 = 10*i - 7*i - 4*y, y - 11 = -i. What is the remainder when 59 is divided by i?
11
Suppose -4*k - 4 = 48. Let d(u) = u**2 + 8*u - 16. Suppose 0 = 4*l + 3*q - 37, -5*l + 22 = -q - 29. Calculate the remainder when d(k) is divided by l.
9
Let k = 71 + -31. Let q be 2/(-3)*267 - -1*2. Calculate the remainder when k is divided by (q/56)/(-1 + 12/14).
18
Let p = 88 + -80. Calculate the remainder when 63 is divided by p.
7
Let h(x) = x**3 + 2*x**2 - x + 2. Let l be h(-3). Let c = l + 4. Suppose -j - 6 = -3*a, j = -2*a - c*a + 4. What is the remainder when a is divided by 1?
0
Suppose 4*j - 2*f = 10, -3*j + 3*f + 2*f = -11. What is the remainder when 10/6*(28 + j) is divided by 4 - 0/5 - -9?
11
Suppose -3*g - q = -0*q - 85, -2*q = g - 35. Suppose -8 = -4*s + 48. Calculate the remainder when g is divided by s.
13
Let l be (440/(-77))/((-4)/14). Suppose l + 25 = 3*f. Calculate the remainder when f is divided by 6.
3
Suppose 371 = 2*o - 5*z, -2*o + 5*z + 365 = 6*z. What is the remainder when o is divided by 46?
45
Suppose 31 + 0 = t. What is the remainder when (-3 - 77/(-21))/(3/234) is divided by t?
21
Let i = 536 - 520. Calculate the remainder when 73 is divided by i.
9
Suppose 1 + 7 = 2*b, 2*b = -5*h - 217. Let v = h + 127. Calculate the remainder when v is divided by 22.
16
Let t(y) = -y**2 - 7*y - 3. Let j be t(-3). Suppose 9*r = 18 - j. What is the remainder when r is divided by 1?
0
Calculate the remainder when 114 is divided by 1 + 0 - (-39 + 0 + 9).
21
Let y(t) = t**2 - 3*t - 26. What is the remainder when 90 is divided by y(-5)?
6
Suppose -l = 4*l + 15. Let a = l + 8. Let y = a + 2. Calculate the remainder when 24 is divided by y.
3
Suppose 26*s - 80 = 18*s. Calculate the remainder when 59 is divided by s.
9
Suppose -2*n + 64 = -5*v, -95 = -5*n - 3*v + 34. Calculate the remainder when 344 is divided by n.
20
Let f = 499 - 478. What is the remainder when 1112 is divided by f?
20
Let v = 14 + 2. Let w be (1 + 12 - 1) + -1. Let b = v - w. What is the remainder when b is divided by 2?
1
Suppose 105 = j + 4*j. Calculate the remainder when j/((-3)/9*-1) is divided by 8.
7
Let l(r) = -2*r**2 - 3*r + 2*r**2 + 6 + r + r**2. What is the remainder when 83 is divided by l(5)?
20
Let h = -19 - -21. Suppose -4*o + 13 = -b - 4, -2*b = h*o - 16. Let s = -5 + 10. Calculate the remainder when s is divided by b.
2
Let f = 10 - 7. Suppose 53 + 61 = f*v. What is the remainder when v is divided by 10?
8
Let a be -5*(0 - (-6)/(-5)). Let d = 19 + -17. Let y = a - d. What is the remainder when 10 is divided by y?
2
Let v(t) be the third derivative of 0*t + 1/6*t**3 + 0 + 0*t**4 - 3*t**2 + 1/12*t**5. What is the remainder when 10 is divided by v(-1)?
4
What is the remainder when (-2 + 1)/1*(-132 + 108) is divided by 7?
3
Suppose -2*b - 6 + 38 = 2*c, 0 = -5*c + b + 74. What is the remainder when 131 is divided by c?
11
Suppose -305 = 3*j + 2*j. Let n = j - -120. What is the remainder when n is divided by 15?
14
Suppose 20*k - 346 - 454 = 0. Calculate the remainder when k is divided by 29.
11
Let n = 112 + -110. What is the remainder when 31 is divided by ((-21)/(-6) - 5) + 27/n?
7
Let k(i) = -i**3 + 8*i**2 - 3*i - 24. Let t be k(7). Suppose t*n - 38 - 82 = 0. Let g(r) = -12*r. What is the remainder when n is divided by g(-1)?
6
Let b(n) = -2 - 2*n**2 - n - 5*n**3 + 2*n + n**3. What is the remainder when b(-2) is divided by (-15)/10 + (-500)/(-40)?
9
Suppose 0*y - 3*y = -4*v + 38, 34 = 4*v - y. What is the remainder when 71 is divided by v?
7
Let v be -1 - -5 - (13 + -16). Suppose -3*y = -v - 56. Suppose z + 2 = 0, -z + 22 = 3*n - y. Calculate the remainder when 59 is divided by n.
14
Suppose 0*x = 2*x. Suppose -20 = -4*r - x. Calculate the remainder when 19 is divided by r.
4
Suppose -919 + 861 = -2*n. What is the remainder when 82 is divided by n?
24
Let i = -160 - -157. Suppose -5 - 7 = -3*d. What is the remainder when 8 is divided by d - (i - -3)/(-2)?
0
Let g = 839 - -58. What is the remainder when g is divided by 11?
6
Let q(b) = 26*b - 24. What is the remainder when q(3) is divided by 7?
5
Let t(f) = -3*f**3 - 3*f**2 - 3*f - 2. Suppose 4*b = 5*m + 174, -5*m + 38 + 64 = 2*b. What is the remainder when b is divided by t(-2)?
14
Suppose 2*q + 156 = 4*k, -k - k + 5*q + 86 = 0. Let y = -267 - -275. What is the remainder when k is divided by y?
6
Suppose 4*a - 3*t + 4*t = 198, 4*a - 206 = -5*t. Let o = a + -15. Calculate the remainder when o is divided by 12.
10
Let d be 40/15 - (2 - (-12)/(-9)). Suppose -d*h + 23 = -3. What is the remainder when 34 is divided by h?
8
Suppose -12*s = -16*s + 12. Suppose -4*j + 31 = s. What is the remainder when 13 is divided by j?
6
Let d(n) = -8*n**3 - 3*n**2 + n + 4. Let y(w) = 4*w + 14. Let b be y(-4). Calculate the remainder when d(b) is divided by 19.
16
Suppose 2*y = 2*r + 34, y + 3*r = -2 - 1. Let q be (-1581)/12 + (-1)/4. Calculate the remainder when ((-2)/(-6))/((-2)/q) is divided by y.
10
Suppose 3*i - 13 - 14 = 0. Let d = 15 + -9. What is the remainder when i is divided by d?
3
Calculate the remainder when 99 is divided by (((-231)/14)/11)/(3/(-40)).
19
Let x = 84 - 22. Let o = 87 - x. Calculate the remainder when o is divided by (21/(-6))/(-5*5/50).
4
Let g = 33 - 20. Let v = 38 - -29. What is the remainder when v is divided by -1 + g + (-6 - -4)?
7
Let t = -13 + 19. Let f(p) = 2*p + 24. Let q be f(-8). Calculate the remainder when q*(-6 + 3)/(-3) is divided by t.
2
Let j = -756 - -796. What is the remainder when 244 is divided by j?
4
Let w be (8 - 9) + (-3 - 0). What is the remainder when 134 is divided by (-9)/((1/w)/((-15)/(-20)))?
26
Let z be (3/2)/(5/10). Suppose z*b - 976 = -b. Suppose 5*i - i - b = 0. Calculate the remainder when i is divided by 16.
13
Let l(j) = 45*j**2 - 6*j - 2. What is the remainder when l(-1) is divided by 40?
9
Let p(t) = -3*t**2 + 7*t + 20. Let r be p(6). Let j = r - -86. What is the remainder when j is divided by 7?
5
Suppose 5*x + 4*k - k = 37, 0 = 5*x + 4*k - 41. Let n = 20 - x. Calculate the remainder when n is divided by 4.
3
Suppose 16 = -6*p + 88. Let m(z) = 2*z**2 - 19*z + 34. What is the remainder when m(p) is divided by 33?
28
Let x = -279 - -306. What is the remainder when x is divided by 25?
2
Let l be ((-21)/(-14))/(6/16). What is the remainder when 45 is divided by -1 + l/(7 + -3) - -10?
5
Let j = 967 + -586. What is the remainder when j is divided by 51?
24
Let a be 1 - 4 - (-3 - -1). Let t = -12 - -17. Calculate the remainder when a - (-5 + 3) - -5 is divided by t.
1
Suppose -10 = -l - 0*l. Calculate the remainder when (-7)/3*(-18)/3 is divided by 2/l - (-48)/10.
4
Calculate the remainder when 244/3*(-792)/(-96) is divided by 136.
127
Let b = 154 - 155. What is the remainder when b - 2 - 2/(-1) - -43 is divided by 15?
12
Let m = 40 - 76. Let b = 53 + m. Let n = 91 + -44. Calculate the remainder when n is divided by b.
13
Suppose 6*o - 1500 = -24*o. Calculate the remainder when o is divided by 15.
5
Let k = -1048 + 1219. Calculate the remainder when k is divided by 6.
3
Let k be 48 + -6 - (-1 - 0). Suppose -5*a = 2*q - 133 - k, 3*a - 5*q - 118 = 0. What is the remainder when 34 is divided by 1/((4/a)/1)?
7
Let k(v) = -38*v - 580. What is the remainder when 550 is divided by k(-20)?
10
Suppose -3 = k - b + 1, 2*b - 10 = 0. Suppose 1 = -l + 3. Calculate the remainder when l is divided by k.
0
Let n = 5 + 22. Let i = 58 - 6. Let t = i - n. Calculate the remainder when t is divided by 9.
7
Let x(b) = 2*b + 18. Suppose -5*y + 7*y + 24 = 0. Let k be x(y). Let t(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when 61 is divided by t(k)?
29
Let y(m) = -10*m + 5. Let w be y(-7). Let b = -41 + w. What is the remainder when b is divided by 12?
10
Suppose -3*v + 23 + 22 = 0. Suppose -b + 21 = 1. Let q = b - -22. What is the remainder when q is divided by v?
12
Suppose -5*n + 5*r + 1349 - 9 = 0, -r = 2. Suppose -5*k - n = -12*k. Calculate the remainder when k is divided by 14.
10
Suppose -311 = -5*w - 4*m, 3*w - 5*m + 68 = 225. Let z = -34 + w. What is th | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(19)
Simplify (2 + sqrt(468))*5 + sqrt(468) + (5 + (sqrt(468) + 0)**2 - sqrt(468)).
30*sqrt(13) + 483
Simplify (2*sqrt(245)*-1)**2 + (-2 + sqrt(5) + 0)*5.
5*sqrt(5) + 970
Simplify 6*6*(sqrt(27))**2 + -2.
970
Simplify 5*(((-2*sqrt(132))/sqrt(12))**2 - sqrt(11)).
-5*sqrt(11) + 220
Simplify sqrt(54)/sqrt(2) + sqrt(3)*-2*3 + sqrt(3) + 5.
-2*sqrt(3) + 5
Simplify (sqrt(88) + (-5*(sqrt(88) + (sqrt(88) - sqrt(88)*1)) - sqrt(88)))/(3*sqrt(72) - sqrt(72)).
-5*sqrt(11)/6
Simplify (-3*sqrt(152)*-2)/(sqrt(64)/(-1*sqrt(8))).
-6*sqrt(19)
Simplify (sqrt(1700) - (sqrt(1700) - -2*sqrt(1700)) - sqrt(17))*-6.
126*sqrt(17)
Simplify -1*(sqrt(11) + -1 + sqrt(11)) + (sqrt(11) + 0 - sqrt(11))*-1.
-2*sqrt(11) + 1
Simplify (sqrt(12)/sqrt(6) + -4)**2*5.
-40*sqrt(2) + 90
Simplify 4*sqrt(833) + sqrt(833) + sqrt(102)/sqrt(6)*-4.
31*sqrt(17)
Simplify (sqrt(77) + 3*1*sqrt(77))/(-4*sqrt(7)*1).
-sqrt(11)
Simplify (3*(sqrt(144)/sqrt(6))/sqrt(2))**2.
108
Simplify ((-3*sqrt(468) + sqrt(13) - sqrt(13)) + (2*sqrt(78))/sqrt(6))**2.
3328
Simplify (-6*(sqrt(2) + 2) + sqrt(2)*-3 + -1)**2.
234*sqrt(2) + 331
Simplify sqrt(160)/(sqrt(200) - sqrt(8)).
sqrt(5)/2
Simplify (3*1*sqrt(91))/(sqrt(7) - sqrt(189)/sqrt(3)).
-3*sqrt(13)/2
Simplify sqrt(147) + 2 + sqrt(147) + 0.
2 + 14*sqrt(3)
Simplify (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2))*-4 + sqrt(2448) - sqrt(2448))**2.
192*sqrt(17) + 2512
Simplify 2 + (sqrt(68)/sqrt(4) + -4)**2 + (-1 + sqrt(2448) + 2)**2.
16*sqrt(17) + 2484
Simplify (sqrt(525) - sqrt(525)*2)/sqrt(3).
-5*sqrt(7)
Simplify -2*sqrt(275) + (sqrt(11) - (((3 + sqrt(11))*-2 - sqrt(11)) + sqrt(11) - sqrt(11))**2).
-45*sqrt(11) - 135
Simplify (sqrt(475) + 1)**2 - (sqrt(19) + -2 + 5).
9*sqrt(19) + 473
Simplify (-3 + (-1 + sqrt(21)/sqrt(3) - (sqrt(7) - (0 + sqrt(7) + 4))))**2.
7
Simplify (5 + sqrt(33)/(sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3))))**2.
5*sqrt(3) + 103/4
Simplify (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0)**2) + -1)) + -2.
-33*sqrt(3) + 362
Simplify -2*(sqrt(325))**2*-4.
2600
Simplify -2*(1*(sqrt(162) + ((sqrt(162) + 1)**2 - sqrt(162))) + sqrt(162)).
-326 - 54*sqrt(2)
Simplify (2 + 1 + sqrt(2) - (1 + sqrt(18)))**2.
-8*sqrt(2) + 12
Simplify -5*((sqrt(7) + sqrt(56)/(sqrt(16)/sqrt(2)) + sqrt(7))**2 - sqrt(7))*-2.
-10*sqrt(7) + 630
Simplify 2*(-1 + sqrt(288) + -1)*-1.
-24*sqrt(2) + 4
Simplify -3*(sqrt(38)/sqrt(2)*4 - sqrt(304)*1).
0
Simplify (sqrt(55) - (sqrt(385)/sqrt(7)*3 + sqrt(55)))/sqrt(5)*2.
-6*sqrt(11)
Simplify (-1*sqrt(91)*2)/((sqrt(63)*-1)/sqrt(9)).
2*sqrt(13)
Simplify sqrt(8)/(sqrt(4) + sqrt(8)/sqrt(2)) - (sqrt(288)*2)**2.
-1152 + sqrt(2)/2
Simplify (3*-1*sqrt(143))/(sqrt(1331) + sqrt(1331) + sqrt(1331)*1).
-sqrt(13)/11
Simplify 0 + sqrt(637) + (1*sqrt(637))**2*-4.
-2548 + 7*sqrt(13)
Simplify (2*sqrt(144))/(-1*sqrt(242))*-1.
12*sqrt(2)/11
Simplify (5 + sqrt(1088) + -2 + sqrt(1088) - (sqrt(1088)*2*-6 - sqrt(1088)))**2.
720*sqrt(17) + 244809
Simplify (2 + (sqrt(88)*-4 - sqrt(88))/sqrt(8))**2.
-20*sqrt(11) + 279
Simplify 3*-2*((4*(sqrt(1088) + 1) + sqrt(1088))**2 - sqrt(1088)).
-163296 - 1872*sqrt(17)
Simplify (4 + (sqrt(19) - sqrt(114)/sqrt(6)*2))**2.
-8*sqrt(19) + 35
Simplify 1 + (0 + sqrt(19)*2 - (-1*sqrt(114))/sqrt(6))**2 + -2.
170
Simplify (-2*sqrt(882))/(sqrt(18)/sqrt(3)*-4).
7*sqrt(3)/2
Simplify (sqrt(325) + sqrt(325) + (sqrt(325) - 1*sqrt(325)) + sqrt(325) + -3)**2.
-90*sqrt(13) + 2934
Simplify 0 + (sqrt(80) + 0 + sqrt(80) + sqrt(80))**2 + sqrt(40)/sqrt(128).
sqrt(5)/4 + 720
Simplify 3 + 2 + (sqrt(52)*-2)**2.
213
Simplify -2*sqrt(891)*4 + -4.
-72*sqrt(11) - 4
Simplify (sqrt(63)/(sqrt(28)/sqrt(4)) - sqrt(9))/sqrt(3).
0
Simplify ((sqrt(400)*2)/sqrt(10))/sqrt(8).
2*sqrt(5)
Simplify ((sqrt(57) - sqrt(57)*1*-1)/(sqrt(96)/sqrt(2)))**2.
19/4
Simplify -5*((sqrt(637) - (sqrt(637)*1)**2) + sqrt(637) - sqrt(13)).
-65*sqrt(13) + 3185
Simplify 1 + sqrt(19) + sqrt(2736)*-2.
-23*sqrt(19) + 1
Simplify (4 + 1*sqrt(5) + sqrt(5))*4.
16 + 8*sqrt(5)
Simplify 3*(sqrt(147) - (-1*sqrt(147) + 0)).
42*sqrt(3)
Simplify (1 + 2 + (sqrt(7) - (sqrt(28)/sqrt(4) + sqrt(7))) + (sqrt(252) + -1 - sqrt(252)))**2.
-4*sqrt(7) + 11
Simplify ((sqrt(81) + sqrt(9))*3 + sqrt(9))/(sqrt(9)/sqrt(3)*5 - sqrt(3)).
13*sqrt(3)/4
Simplify 3*(sqrt(45) + (sqrt(45) - (sqrt(45) + 3)) + sqrt(45) + sqrt(45) + 2 + sqrt(5)).
-3 + 30*sqrt(5)
Simplify 4*(sqrt(252)*4)/(sqrt(9) + sqrt(18)/sqrt(8)).
64*sqrt(7)/3
Simplify ((sqrt(198) + -1*sqrt(198) + sqrt(198))*5)/sqrt(11).
15*sqrt(2)
Simplify (-2*sqrt(2940))/(-1*sqrt(972) + sqrt(972) + sqrt(12)).
-14*sqrt(5)
Simplify (-3 + -1*sqrt(11) - sqrt(99)/(sqrt(18)/sqrt(2))) + -5.
-8 - 2*sqrt(11)
Simplify -5*-2*((sqrt(209) - (sqrt(209) + sqrt(209)*5))/sqrt(11) - sqrt(19)).
-60*sqrt(19)
Simplify -4*sqrt(156)/(4*sqrt(48)).
-sqrt(13)/2
Simplify ((sqrt(187) - 1*sqrt(187))*1 - sqrt(187) - sqrt(187))/(-4*-2*sqrt(11)).
-sqrt(17)/4
Simplify 1*sqrt(931)*-4.
-28*sqrt(19)
Simplify (4 + sqrt(17))*5 - (sqrt(153) + -5).
2*sqrt(17) + 25
Simplify (5*(sqrt(7) + -4 + -1))**2.
-250*sqrt(7) + 800
Simplify sqrt(63)/(-6*sqrt(81)).
-sqrt(7)/18
Simplify 4 + (-2*sqrt(1216))**2 + 2.
4870
Simplify ((sqrt(10) - sqrt(40)/sqrt(4))*-3)/(sqrt(405)*-1).
0
Simplify 5*(sqrt(117) + sqrt(117) + -2 + 0)**2.
-120*sqrt(13) + 2360
Simplify (-2 + sqrt(190)/(sqrt(110)/sqrt(44) - sqrt(10)))*-5.
10 + 10*sqrt(19)
Simplify sqrt(152)/(3*sqrt(200)).
sqrt(19)/15
Simplify -1*((sqrt(48)*-2)/sqrt(12))/(sqrt(2) + sqrt(256)/sqrt(8)).
2*sqrt(2)/5
Simplify 2 + (-5 + sqrt(343))**2.
-70*sqrt(7) + 370
Simplify 1 + sqrt(1100) - ((sqrt(132)*-3 + sqrt(132) + sqrt(132))/sqrt(12) + sqrt(11))**2.
1 + 10*sqrt(11)
Simplify (sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136)*-2)*-5))/(-3*sqrt(16)/sqrt(2)).
sqrt(17)
Simplify (-1 + sqrt(272))**2 - (5 + sqrt(170)/sqrt(10)).
-9*sqrt(17) + 268
Simplify sqrt(2736) + sqrt(2736) + 6*(sqrt(2736) - (sqrt(2736) + -3)).
18 + 24*sqrt(19)
Simplify ((sqrt(720)/(sqrt(12)*1) + sqrt(60))/((sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96) - sqrt(96))/sqrt(8) - sqrt(12)))**2.
20
Simplify -3 + 2 + sqrt(720) + 3.
2 + 12*sqrt(5)
Simplify -4 + -5 + 5*sqrt(275) + sqrt(275).
-9 + 30*sqrt(11)
Simplify ((sqrt(119) + -2*sqrt(119))*3 + sqrt(119))/((sqrt(7) - sqrt(7)*-1)*-1).
sqrt(17)
Simplify (sqrt(9) + (sqrt(27)/sqrt(3) + sqrt(9))*-6 + sqrt(9))/(sqrt(75) + (sqrt(75) - ((-2*sqrt(75) - sqrt(75)) + sqrt(75))) - sqrt(75) - sqrt(75) - sqrt(75)).
-2*sqrt(3)
Simplify (2 + sqrt(98))*-4 + 3.
-28*sqrt(2) - 5
Simplify (0 + sqrt(847) + sqrt(847))**2 + sqrt(847) + ((1*sqrt(84) + sqrt(84))/sqrt(12))**2.
11*sqrt(7) + 3416
Simplify 4 + (sqrt(1700) + 1 + 3)**2.
80*sqrt(17) + 1720
Simplify ((1*sqrt(567))/(sqrt(9) - (sqrt(9) + 5*(sqrt(9) - sqrt(36)))))**2.
63/25
Simplify sqrt(7) + (4*(-1 + sqrt(7)))**2 + -3.
-31*sqrt(7) + 125
Simplify -3*((sqrt(6300)*1)**2 + 2).
-18906
Simplify 3*(1*sqrt(144))/(-2*sqrt(72)).
-3*sqrt(2)/2
Simplify (sqrt(128) + 1 + sqrt(128))**2.
32*sqrt(2) + 513
Simplify (sqrt(6)/(sqrt(3)*2))**2 + (sqrt(2) + 0 + -1)**2.
-2*sqrt(2) + 7/2
Simplify (sqrt(7) - 2*(sqrt(7) + 1))**2 + 0 + sqrt(700).
11 + 14*sqrt(7)
Simplify sqrt(17) + (4 + sqrt(68) + sqrt(17))**2 - ((1 + sqrt(17))*-3)**2.
7 + 7*sqrt(17)
Simplify (((sqrt(170) + (sqrt(170)*-1 + sqrt(170) - sqrt(170)))*4)/(2*sqrt(40)/sqrt(4)))**2.
0
Simplify ((3*sqrt(425))**2 + sqrt(425))*6.
30*sqrt(17) + 22950
Simplify -5 + sqrt(343) + sqrt(7) + (sqrt(7) - (4 + sqrt(28)) - sqrt(7)).
-9 + 6*sqrt(7)
Simplify (5*(-1*sqrt(187) + sqrt(187)))/(sqrt(11)*-1*1).
0
Simplify (-2*sqrt(243)*4)**2 + (4 + (sqrt(243) + 0 - sqrt(243) - sqrt(243) - sqrt(243)))**2.
-144*sqrt(3) + 16540
Simplify sqrt(500) - 3*(sqrt(500) + 2 + sqrt(500))**2.
-6012 - 230*sqrt(5)
Simplify ((sqrt(190)*3 + sqrt(190))*-2)/sqrt(10).
-8*sqrt(19)
Simplify sqrt(288) + (sqrt(288)*-5 + sqrt(288))**2 - (sqrt(242) + -1).
sqrt(2) + 4609
Simplify (-2 + sqrt(125) + 5)**2.
30*sqrt(5) + 134
Simplify 2*sqrt(30)/(sqrt(40)/sqrt(4)).
2*sqrt(3)
Simplify 0 + -2*(sqrt(51)/sqrt(3) + sqrt(17)).
-4*sqrt(17)
Simplify 5*(sqrt(52) - sqrt(208)) - (sqrt(156)/((sqrt(96)*-1)/sqrt(8) - sqrt(12)))**2.
-10*sqrt(13) - 13/4
Simplify (sqrt(57)/(-1*sqrt(3)) - (sqrt(19) - (sqrt(95) - -1*sqrt(95))/sqrt(5) - sqrt(19))) + -5.
-5 + sqrt(19)
Simplify 2*sqrt(28) - (sqrt(70)*3)/sqrt(10).
sqrt(7)
Simplify (sqrt(200) + -1 + 0)**2 + -5*(1 + sqrt(2 | {
"pile_set_name": "DM Mathematics"
} |
- 2*w**5/15 + w**2 + 5. Let f(g) be the second derivative of o(g). Factor f(s).
2*s**2*(s - 2)**2*(s - 1)
Suppose -4 = -j + 1. Suppose 2*g**4 - j*g**4 + 2*g**2 - 2*g + 2*g**3 + g**4 = 0. What is g?
-1, 0, 1
Suppose 0 = r - 2*z + 2, r + r + 16 = z. Let y be r/28*24/(-30). Factor -2/7*c**3 + y*c + 0 + 2/7*c**2 - 2/7*c**4.
-2*c*(c - 1)*(c + 1)**2/7
Suppose 0 = 5*f - 6 + 61. Let h be 12/4 - f/(-5). Solve h - 14/5*o**3 - 24/5*o**2 - 6/5*o = 0 for o.
-1, 2/7
Suppose 2*j = -10, 5*j = -5*z - 9 - 1. Let h(c) be the third derivative of 0*c**4 - 1/120*c**6 + z*c**2 + 0 - 1/60*c**5 + 0*c + 0*c**3. Factor h(r).
-r**2*(r + 1)
Let a be (4 + -4)/(-2 - -1). Suppose a = -f - 0*f - 5, 4*f + 28 = 4*p. What is g in -1/2*g**4 + 1/2*g**p - 1/2*g**5 - g + 0 + 3/2*g**3 = 0?
-2, -1, 0, 1
Let c(a) be the third derivative of -a**5/20 - a**4/2 + 5*a**3/2 + 3*a**2. Solve c(i) = 0 for i.
-5, 1
Let x(u) be the first derivative of -4 - 3/4*u**4 + 6*u + 3/10*u**5 + 3*u**2 - 3/2*u**3. Find a such that x(a) = 0.
-1, 2
Let w(p) = -p**2 + 2*p + 5. Let j be w(4). Let u be (7 + j)/(-1 - -2). Factor -10*n**u + 0*n + 14*n**3 - 4*n**2 + 0*n.
-2*n**2*(n - 1)*(5*n - 2)
Let j(o) be the second derivative of -7*o**6/15 - 9*o**5/5 - 10*o**4/7 - 8*o**3/21 + 40*o. Factor j(a).
-2*a*(a + 2)*(7*a + 2)**2/7
Let u(a) be the second derivative of 2*a**6/105 + 3*a**5/35 + 13*a**4/84 + a**3/7 + a**2/14 - 7*a. Suppose u(b) = 0. Calculate b.
-1, -1/2
Suppose 13*x = 18*x - 15. Let n(f) be the first derivative of -x + 0*f - 1/4*f**4 + 0*f**2 + 2/3*f**3. Solve n(o) = 0 for o.
0, 2
Let m = 2 + -6. Let p be (-2 + 0 + 1)*m. Factor -2*j**p - 2*j**3 + 0*j**3 - 3*j**4.
-j**3*(5*j + 2)
Let v be (-10)/(-6) + 3/9. Suppose 4*n - 8 - 16 = 0. Determine p so that 0*p**3 - 3*p**4 + 2*p - v*p**3 - 5*p**2 - n*p**5 + 14*p**4 = 0.
-2/3, 0, 1/2, 1
Let w(l) = l**4 - 7*l**3 - 3*l**2 + 7*l - 6. Let x(v) = 7*v**3 + 3*v**2 - 7*v + 7. Suppose 0 = -2*i + i + 4. Let n(s) = i*x(s) + 5*w(s). Factor n(o).
(o - 1)**2*(o + 1)*(5*o - 2)
Let l be (7/(-3) + 2)*10/(-35). Let i(n) be the third derivative of -5/84*n**4 + 0*n + 5*n**2 + 0 - 1/30*n**5 + l*n**3. Solve i(u) = 0.
-1, 2/7
Let x(j) = -11*j**3 + 10*j**2 - 2*j. Let n(m) = -54*m**3 + 50*m**2 - 10*m. Let c(q) = -3*n(q) + 14*x(q). Solve c(k) = 0.
0, 1/4, 1
Let i = 6 - 5. Suppose i - 2*v + v**3 - v**4 + 4*v + 0*v**4 - 3*v**3 = 0. What is v?
-1, 1
Let l(z) = z + 9. Let k = 1 + -8. Let c be l(k). Let -40/9*i**5 - 16/3*i**3 + 4/9*i + 0 - 2/9*i**c + 86/9*i**4 = 0. Calculate i.
-1/4, 0, 2/5, 1
Let j(h) be the third derivative of -h**8/560 - 4*h**7/525 - h**6/100 + h**4/120 - 2*h**2. Solve j(n) = 0 for n.
-1, 0, 1/3
Let v(q) be the second derivative of q**4/18 - q**3/9 + 6*q. Find h such that v(h) = 0.
0, 1
Let h be 8/3*(-18)/(-8). Let r(l) be the third derivative of 0*l**3 + 0 + 1/12*l**4 + 2/15*l**5 - l**2 + 1/10*l**h + 4/105*l**7 + 0*l + 1/168*l**8. Factor r(y).
2*y*(y + 1)**4
Let u(l) be the third derivative of 0*l**5 + 2*l**2 + 0*l + 0 + 0*l**3 + 0*l**6 + 0*l**4 - 1/630*l**7. Suppose u(t) = 0. What is t?
0
Let d = 3225/11 - 293. Factor d*c**2 - 2/11*c + 0.
2*c*(c - 1)/11
Let g(m) = 5*m**4 - 4*m**3 + 5*m**2 + 3. Let s(w) = 15*w**4 - 13*w**3 + 14*w**2 + 8. Let b(j) = -8*g(j) + 3*s(j). Factor b(a).
a**2*(a - 1)*(5*a - 2)
Let c be 1/((-3)/(-2) - 1). Let w be 3/(-2 + 24/3). Factor 0*d + w*d**c + d**3 + 1/2*d**4 + 0.
d**2*(d + 1)**2/2
Factor 10/7*q**3 + 1/7*q**5 + 5/7*q - 5/7*q**4 - 10/7*q**2 - 1/7.
(q - 1)**5/7
Let y(w) = -8*w**2 + 28*w - 22. Let h(x) = -x**2 + 4*x - 3. Let a(g) = 44*h(g) - 6*y(g). Factor a(s).
4*s*(s + 2)
Let x(s) = -s**3 + 3*s - 1. Let h be x(2). Let p be (1/(-9))/(h/18). Find q such that p*q + 2*q**2 - 2/3*q**4 - 4/3 - 2/3*q**3 = 0.
-2, -1, 1
Factor 28*x**2 + 20*x**3 - 32*x**3 + 6*x - 7*x**2.
-3*x*(x - 2)*(4*x + 1)
Let g(o) be the second derivative of 16*o**7/189 - 8*o**6/135 - 23*o**5/90 + 7*o**4/54 + 7*o**3/27 + o**2/9 + 32*o. Determine a so that g(a) = 0.
-1, -1/4, 1
Let f(a) = -2*a**5 - 38*a**4 + 42*a**3 - 18*a**2. Let t(l) = l**5 + 13*l**4 - 14*l**3 + 6*l**2. Let m(u) = -3*f(u) - 8*t(u). Factor m(n).
-2*n**2*(n - 3)*(n - 1)**2
Let b be -2 + 42/12 + 0. Factor 1 + 1/2*x**2 + b*x.
(x + 1)*(x + 2)/2
Let u(z) = z + 16. Let v be u(-10). Suppose 0 = -2*y - 4*b + v + 14, -5*y + b = 5. Factor -1/2*a**3 + a**2 + y - 1/2*a.
-a*(a - 1)**2/2
Let f(i) = -i**2 - i + 1. Let w(a) = -a**4 + a**2 + 3*a + 8. Let x(u) = u**2 - 4*u - 1. Let n be x(-3). Let k(t) = n*f(t) - 4*w(t). Factor k(o).
4*(o - 3)*(o + 1)**3
Solve -4/3*d - 4/3 + 4/3*d**2 + 4/3*d**3 = 0 for d.
-1, 1
Let b(c) = c**3 - 43*c**2 - 187*c - 256. Let w = 25 - 31. Let s(x) = -2*x**3 + 42*x**2 + 186*x + 256. Let m(y) = w*b(y) - 5*s(y). Find p, given that m(p) = 0.
-4
Suppose 6*w - 2*w = 0. Suppose w = t + 4*t. Factor t*u**2 - 4/9*u**3 + 0 + 2/9*u + 2/9*u**5 + 0*u**4.
2*u*(u - 1)**2*(u + 1)**2/9
Let i(r) be the first derivative of -r**8/9240 - r**7/4620 - 4*r**3/3 + 8. Let p(f) be the third derivative of i(f). Factor p(g).
-2*g**3*(g + 1)/11
Let j be (-4)/(-6) - (-7)/3. Let l be 1 - ((-12)/j)/(-12). Solve -l*f + 10*f**2 - 4/3 = 0 for f.
-1/3, 2/5
Let j(r) be the second derivative of -r**4/6 + r**3 - 2*r**2 + 9*r. Let j(w) = 0. Calculate w.
1, 2
Let z(i) = i**3 + i**2 + 3*i - 5. Let q(k) = 6*k**3 + 4*k**2 + 16*k - 26. Let j(y) = 6*q(y) - 33*z(y). Factor j(w).
3*(w - 3)*(w - 1)*(w + 1)
Let q(x) be the third derivative of 0 + 1/210*x**5 + 5*x**2 + 0*x + 0*x**3 + 0*x**4. Factor q(l).
2*l**2/7
Suppose 24 = 3*n - 6. Let s = -17 + 19. Factor 2 - 33*i**3 - 26*i + 44*i**4 + 64*i**s - n*i**5 + 2 - 43*i**3.
-2*(i - 1)**4*(5*i - 2)
Let c(i) = i**4 + i**3 + i**2 - i + 1. Let p(x) = 2*x**5 - 9*x**4 + 19*x**3 + 15*x**2 - 21*x + 3. Let s(a) = -3*c(a) + p(a). Solve s(w) = 0.
-1, 0, 1, 3
Suppose -3*g = g + 384. Let y be (-2)/9 - g/189. Factor 0*h - y + 2/7*h**2.
2*(h - 1)*(h + 1)/7
Let y(j) = 12*j**3 - 4*j**2 - 12*j. Let i(q) = -q**4 - q**2 + q. Let s(z) = -4*i(z) + y(z). Factor s(k).
4*k*(k - 1)*(k + 2)**2
Let y be 1/((-6)/21)*2. Let c(w) = -13*w**3 - 24*w**2 - 30*w - 5. Let k(n) = 9*n**3 + 16*n**2 + 20*n + 3. Let a(b) = y*k(b) - 5*c(b). Factor a(z).
2*(z + 1)**2*(z + 2)
Let t(x) be the first derivative of 2*x**3/9 + 4*x**2/3 + 2*x - 4. Find w, given that t(w) = 0.
-3, -1
Let k(y) = 3*y**3 - y**2 - y + 2. Let n be k(2). Find c such that -10*c + n*c**2 + 7*c**3 - 13*c**3 + 4 - 8*c = 0.
1/3, 1, 2
Let p(a) = 3*a - 6. Let m be p(6). Suppose 3*i = -i + m. Solve i*j + 2 - j**2 - 3*j**2 + 5*j**2 = 0.
-2, -1
Let u(p) be the third derivative of 1/525*p**7 + 0 + 1/100*p**6 + 0*p**3 + 3*p**2 + 1/60*p**4 + 0*p + 1/50*p**5. Suppose u(j) = 0. What is j?
-1, 0
Let s(t) = 8*t**4 - 21*t**3 - 61*t**2 - 13. Let v(y) = 4*y**4 - 10*y**3 - 30*y**2 - 6. Let r(p) = -6*s(p) + 13*v(p). Factor r(z).
4*z**2*(z - 3)*(z + 2)
Let f(p) be the second derivative of -p**8/2800 + p**7/6300 + p**6/900 - 5*p**4/12 - 3*p. Let a(t) be the third derivative of f(t). Find r such that a(r) = 0.
-1/2, 0, 2/3
Let 8*g**5 - 4*g - g - 2*g**2 + 12*g**2 - 3*g**5 - 10*g**4 = 0. What is g?
-1, 0, 1
Factor 0*j**2 - 1/4*j**3 + 0 + 0*j.
-j**3/4
Let y(f) be the first derivative of 2*f**3/21 - 2*f**2/7 - 6*f/7 - 13. Factor y(h).
2*(h - 3)*(h + 1)/7
Let l be 0*(-4 + (-2 - -5)). Factor -7*s**2 - 4*s**3 + 6*s**2 + 4*s + l*s**2 + 1.
-(s - 1)*(s + 1)*(4*s + 1)
Solve 0*j**2 - 6/5 + 3/5*j**3 - 9/5*j = 0 for j.
-1, 2
Let k = 1/493 - -6893/4437. Suppose 2*g**2 - 10/9*g**3 + 2/9*g**4 - k*g + 4/9 = 0. What is g?
1, 2
Let v(g) = -162*g**4 - 563*g**3 - 548*g**2 - 163*g - 11. Let a(z) = 81*z**4 + 282*z**3 + 274*z**2 + 81*z + 5. Let u(y) = 5*a(y) + 3*v(y). Factor u(q).
-(q + 1)*(q + 2)*(9*q + 2)**2
Let v = -3 + 9. Let w be 0 + -1 - (-8)/v. Factor 1/3 - 2/3*a + w*a**2.
(a - 1)**2/3
Let n = -14 - -13. Let j(s) = -s**4 + s**2 - s + 1. Let w(u) = 3*u**4 - 4*u**3 + 4*u**2 - 2*u - 1. Let k(r) = n*w(r) - 2*j(r). Factor k(l).
-(l - 1)**4
Suppose 0 = 3*w + 4 - 13. Suppose -w*j - 6 = -5*j. Solve -2*r**2 + 2*r**j + 3*r - 2*r**2 - r = 0.
0, 1
Factor 3*z - 3 - 3/4*z**2.
-3*(z - 2)**2/4
Let t = 5 - 3. Factor 0 - 11*r - 2*r**2 + 0*r**t + 3*r - 8.
-2*(r + 2)**2
Let p(q) be the third derivative of 1/10*q**5 + 0 + 1/40*q**6 + 0*q + 0*q**3 + 1/8*q**4 - 3*q**2. Solve p(n) = 0 for n.
-1, 0
Let p(s) = s**3 + 5*s**2 - 4*s - 28. Let l be | {
"pile_set_name": "DM Mathematics"
} |
p) = 79*p. Calculate d(m(f)).
6241*f**2 + 502519*f
Let d(h) = -168*h**2. Let v(q) = -1459*q**2. Give d(v(f)).
-357618408*f**4
Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))?
260*y**4 + 12
Let h(s) = s**3 - 4*s**2 + 6*s - 5. Let u = 32 + -27. Let g be h(u). Let n(c) = 21*c**2 - g + 50. Let y(r) = -r. Calculate n(y(j)).
21*j**2
Let r(q) = -87*q + 14. Let w(n) = -85*n + 12. Let o(j) = 6*r(j) - 7*w(j). Let s(g) = 3*g**2. Determine s(o(b)).
15987*b**2
Suppose -s = -7 - 3. Let z(m) = -s*m + 19*m - 14*m. Let l(w) = -w + 4. Let c(h) = h - 5. Let d(a) = -4*c(a) - 5*l(a). Give z(d(j)).
-5*j
Let b(i) = -2*i. Let w(a) = 112868*a**2. Calculate b(w(r)).
-225736*r**2
Let b(t) = t. Let p(x) be the third derivative of -1/24*x**4 + 0 + 23*x**2 + 25/6*x**3 + 0*x. Determine b(p(k)).
-k + 25
Let m(i) = -29*i**2. Let l(c) = 2*c + 613. Determine m(l(y)).
-116*y**2 - 71108*y - 10897301
Let c(x) be the second derivative of x**3/6 + x. Suppose 0 = u + n - 7, 5*u + 2*n + 10 = 6*n. Let w(j) = -11 - u*j - 3*j + 11. Calculate c(w(r)).
-5*r
Let y(d) = 18*d. Let b(w) = 17894*w**2. Give y(b(q)).
322092*q**2
Let d(z) be the first derivative of 8*z**3/3 - 16. Let s(p) = -2*p**2 + 6*p + 6. Let f(u) = -2*u**2 + 5*u + 5. Let l(h) = 6*f(h) - 5*s(h). Give l(d(q)).
-128*q**4
Let g(p) = -p. Let c(w) = -1315641*w. Give g(c(j)).
1315641*j
Let o(y) = y. Let u(c) = -14485*c**2 - 2*c - 2. Determine u(o(z)).
-14485*z**2 - 2*z - 2
Let p(f) = -3*f. Let l(h) = h + 19. Let z(b) = -4*b - 77. Let t(v) = 22*l(v) + 6*z(v). What is p(t(n))?
6*n + 132
Let u(p) = 3*p**2. Let b(y) = y**3 + 7*y**2 + 21*y + 57. Let c be b(-5). Let q(g) be the second derivative of c*g + 0*g**2 + 0 + 1/2*g**3. Calculate u(q(o)).
27*o**2
Let n(v) = -32*v - 6. Let c = -115 + 109. Let k(y) = -32*y - 7. Let m(h) = c*k(h) + 7*n(h). Let u(f) = 2*f. What is m(u(o))?
-64*o
Let w(j) = 0*j**2 - j**2 - j**2 + 0*j**2. Let x(o) = 11*o + 20. Let g(h) = -10*h - 15. Let m(p) = 4*g(p) + 3*x(p). What is w(m(b))?
-98*b**2
Let i(d) = 2061*d**2. Let h(q) = 2*q. Give h(i(y)).
4122*y**2
Let z(n) be the third derivative of n**4 - n**3/3 + 3*n**2. Let i(p) = 2*p**2 + 15. Let u(w) = -7*w**2 - 55. Let a(s) = -11*i(s) - 3*u(s). Give z(a(r)).
-24*r**2 - 2
Let r(f) = 212*f. Let l(i) = 17*i - 13. Give l(r(o)).
3604*o - 13
Let u(d) be the first derivative of d**5/60 - 23*d**2 + 43. Let g(s) be the second derivative of u(s). Let w(p) = p - 2. Calculate w(g(m)).
m**2 - 2
Let w(i) = 2*i. Let d(u) = 68*u**2 - 576*u. Give d(w(t)).
272*t**2 - 1152*t
Let v = 89 + -88. Let j(o) = -v - 386*o + 384*o + 1. Let f(b) = -28*b. Calculate j(f(a)).
56*a
Let h(m) = 73*m. Let x(w) = 1417*w. What is h(x(a))?
103441*a
Let u(x) = 4*x**2 - x - 979. Let y(b) = -7*b. Determine y(u(m)).
-28*m**2 + 7*m + 6853
Let f(s) = 10238*s**2. Let x(o) = -21*o**2. What is x(f(j))?
-2201149524*j**4
Let m(k) = -6*k. Let d(l) = -2*l. Let b(f) = -11*d(f) + 4*m(f). Let z(i) be the second derivative of -14*i**4/3 + 248*i + 3. Calculate b(z(v)).
112*v**2
Let c(p) = -57*p**2 + 2*p + 2. Let s(l) = 10650*l**2 - 375*l - 375. Let i(q) = -375*c(q) - 2*s(q). Let a(f) = -3*f. Calculate i(a(u)).
675*u**2
Let d(y) = y - 4758. Let u(h) = 26*h. What is u(d(s))?
26*s - 123708
Let z(r) be the third derivative of r**5/12 + 135*r**2. Let q(s) = 42*s. Calculate q(z(k)).
210*k**2
Let y(m) = 2*m**2. Let s(t) = -2*t + t - 10 + 11 - 10*t. Calculate s(y(c)).
-22*c**2 + 1
Let z(g) = -113*g + 2. Let c(l) = 22*l - 1. What is c(z(t))?
-2486*t + 43
Let a(u) = 6*u**2 + 9*u + 54. Let y(l) = 3*l**2 + 5*l + 30. Let w(i) = -5*a(i) + 9*y(i). Let o(j) = -j + 90. What is o(w(d))?
3*d**2 + 90
Let f(u) be the second derivative of -u**4/3 + 124*u. Let t(m) = -6*m**2. Determine t(f(n)).
-96*n**4
Let z(b) = b**2. Let j(c) = 11 - 11 - 2*c + 3*c**2. Let v = 8 - 53. Let s(g) = 65*g**2 - 45*g. Let t(i) = v*j(i) + 2*s(i). What is t(z(m))?
-5*m**4
Let w(q) = -196*q - 76. Let s(n) = 11*n**2. Calculate s(w(j)).
422576*j**2 + 327712*j + 63536
Let g(m) = -3*m. Let b(y) be the second derivative of 11*y**3/3 - 3*y**2/2 + 23*y. Calculate b(g(p)).
-66*p - 3
Let m(a) = -5*a**2 + 655*a - 4. Let w(o) = 36*o. Give m(w(t)).
-6480*t**2 + 23580*t - 4
Let o(n) = 2*n**2. Let r(k) = 139917*k. What is r(o(v))?
279834*v**2
Suppose -4*r - 4*a + 4 = 0, 2*r - 6 = 3*a - a. Let k(l) = -4*l**2 + 7*l**2 - l**r - 4*l**2. Let i(y) = 25*y**2. Determine k(i(x)).
-1250*x**4
Let n(a) = 7*a**2. Let s(z) = -254*z**2 + 0 + 0 + 259*z**2. Give s(n(v)).
245*v**4
Let m(w) be the first derivative of -3*w**2/2 + 190. Let i(t) = 2 - 2*t - 2. Give i(m(l)).
6*l
Let k(o) be the second derivative of o**3 + 25*o. Let y(h) be the second derivative of h**3/6 + h. What is y(k(b))?
6*b
Let k(v) = 483538*v**2. Let p(z) = -2*z. Give p(k(b)).
-967076*b**2
Let k(v) be the third derivative of v**6/120 + v**3/3 + 3*v**2. Let o(y) be the first derivative of k(y). Let q(l) = -l - l + 7247 - 7247. What is q(o(x))?
-6*x**2
Let b(r) = 5*r**2 - 45*r. Let w(l) = -16*l**2 + 130*l. Let d(c) = -26*b(c) - 9*w(c). Let x(z) = 20*z. What is x(d(u))?
280*u**2
Let h(b) = -5*b**2. Let w be 0*2/4 - 3. Let i be (1/w)/(3/(-18)). Let c(a) = a - i*a - a. What is c(h(g))?
10*g**2
Let k(d) = d - 10*d + 3 - 3. Let v(y) be the first derivative of -y**2/2 + 42. Determine v(k(s)).
9*s
Let b(a) = 2*a. Let o(w) = 8 + 2*w + 7*w - 9*w + 3*w + 6. Determine o(b(d)).
6*d + 14
Let s(j) = 11 + 1 - 12 - 11*j. Let b(r) be the third derivative of -r**6/360 + r**3/6 - 2*r**2. Let n(g) be the first derivative of b(g). Give n(s(w)).
-121*w**2
Let t(p) = -283*p. Let c(s) = -12*s - 457. Calculate t(c(j)).
3396*j + 129331
Let x(c) = c. Let k(o) = 44195*o. Determine k(x(l)).
44195*l
Let s(y) = 253322*y**2. Let n(f) = 2*f. What is s(n(x))?
1013288*x**2
Let r(a) = -3*a**2. Let y(g) = 54*g**2 - 5*g - 15. Let l(q) = -2322*q**2 + 216*q + 648. Let c(t) = -5*l(t) - 216*y(t). Calculate r(c(m)).
-8748*m**4
Let o be (6/(-12)*2)/((-2)/18). Let s(v) = -20*v + o*v + 12*v. Let c(y) = 2 + 3*y - 2. Determine s(c(q)).
3*q
Let p(b) = -b**2 + 2*b. Let m(r) = 1247*r**2 - 2. Determine p(m(s)).
-1555009*s**4 + 7482*s**2 - 8
Let z(n) = -67*n**2 + n + 0*n - 2*n + 219*n**2. Let f(r) = -r**2. Give z(f(u)).
152*u**4 + u**2
Let a(m) = -5*m. Let h(p) = 622*p**2 + 7. Calculate a(h(r)).
-3110*r**2 - 35
Let k(x) = 7*x**2. Suppose 2 + 4 = 2*o. Let q(m) = 79 - 79 + o*m. Give q(k(h)).
21*h**2
Let y(f) = -13*f - 3 - 12 + 15. Let c(w) = 32*w**2. Give c(y(o)).
5408*o**2
Let y(g) be the first derivative of g**2/2 + 26. Suppose -3*z - 3 = -12. Let c(i) = 8*i - z*i + 6*i. Calculate c(y(v)).
11*v
Let m(v) = -3*v + 3*v + 17*v. Let u(w) = 74*w. Let x(q) = 198*q. Let n(d) = 8*u(d) - 3*x(d). Calculate m(n(l)).
-34*l
Let l(w) be the second derivative of w**5/30 - 2*w**2 + 6*w. Let q(y) be the first derivative of l(y). Let s(k) = 7*k**2. What is q(s(t))?
98*t**4
Let v(s) = -2*s**2. Let z(d) be the first derivative of -2*d**3/3 - d**2/2 - d + 9. Let c(k) be the first derivative of z(k). Calculate v(c(j)).
-32*j**2 - 16*j - 2
Let r(d) = -5*d. Let p(t) = 47*t**2 + 11*t - 11. Let i(j) = 9*j**2 + 2*j - 2. Let h(y) = -22*i(y) + 4*p(y). What is h(r(o))?
-250*o**2
Suppose 0 = -u + 3 + 1. Let r(z) = -7*z + u*z + 4*z. Let i(o) = -2*o. What is r(i(b))?
-2*b
Let n(d) = -5*d**2. Let s(i) = 2*i - 2. Let v(w) = 47*w + 12. Let k(m) = 6*s(m) + v(m). Determine k(n(z)).
-295*z**2
Suppose -5*g = -3*r - 10 - 9, 0 = -5*g + r + 13. Let x(q) = -q + 304*q**2 + q - 302*q**g. Let d(u) = 22*u**2. Give x(d(l)).
968*l**4
Let y(v) be the first derivative of -v**5/20 - 4*v**2 - 3. Let i(k) be the second derivative of y(k). Let u(c) = -3*c**2. Give i(u(o)).
-27*o**4
Let p(f) be the second derivative of f**4/12 - 309*f. Let c(r) = -88*r**2. What is c(p(h))?
-88*h**4
Let t(y) = -12*y + 52. Let r(w) = 3*w. Give r(t(x)).
-36*x + 156
Let o(a) = -328*a + 16. Let t(y) = 2*y. Calculate t(o(b)).
-656*b + 32
Suppose -2*u + j + 3*j + 26 = 0, -3*u = -j - 19. Let c(i) = -135 - u*i + 135. Let p(d) = d + 0*d - 3*d. Determine c(p(o)).
10*o
Let w(o) = o - 46. Let v(m) = -202*m. Give w(v(i)).
-202*i - 46
Let q(m) = -m**2 - 5*m + 22. Let x be q(-6). Let h(c) = 9 - x + 7 + 2*c**2. Let u(w) = -5*w**2. Determine u(h(p)).
-20*p**4
Let f(y) = 24 - 24 - 11*y**2. Suppose 3*g + 27 - 6 = 3*r, 0 = r - 5*g - 27. Let z(v) = -v**2 + 3*v**r | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 2244 and 121.
24684
What is the common denominator of 73/2198 and -97/79128?
79128
What is the common denominator of -49/33 and -53/17832?
196152
What is the least common multiple of 748 and 53669?
214676
Calculate the smallest common multiple of 2489652 and 10.
12448260
Calculate the common denominator of 44/243 and 133/58536.
526824
What is the smallest common multiple of 10718 and 18?
96462
Find the common denominator of 67/9 and 41/862083.
862083
Calculate the lowest common multiple of 9801 and 963.
1048707
Calculate the lowest common multiple of 1095 and 3555.
259515
What is the lowest common multiple of 4878 and 402?
326826
Calculate the common denominator of -73/33250 and 109/1710.
299250
Find the common denominator of -199/2280 and 21/4280.
243960
Calculate the smallest common multiple of 32109 and 6.
64218
What is the common denominator of -83/67430 and 3/55?
67430
Calculate the least common multiple of 5756 and 221.
1272076
What is the smallest common multiple of 132 and 25196?
831468
Calculate the common denominator of 27/1864 and 33/6757.
54056
Find the common denominator of 75/946 and -21/1093.
1033978
What is the lowest common multiple of 417 and 13344?
13344
Find the common denominator of 37/61219 and 25/4222.
122438
Calculate the lowest common multiple of 25920 and 480.
25920
Calculate the lowest common multiple of 9570 and 280720.
842160
Calculate the common denominator of 89/12068 and 157/103440.
724080
Find the common denominator of -44/175 and -77/21075.
147525
What is the common denominator of 95/33072 and -47/8268?
33072
Find the common denominator of 43/16348 and 69/2680.
163480
What is the common denominator of -13/5436 and -31/1812?
5436
What is the common denominator of 99/316 and -97/368?
29072
What is the smallest common multiple of 8633 and 445?
43165
What is the smallest common multiple of 5225 and 33?
15675
What is the common denominator of -65/92 and 47/6762?
13524
What is the lowest common multiple of 168 and 8124?
113736
What is the lowest common multiple of 222 and 2676?
99012
Calculate the common denominator of -123/250010 and 11/1380.
1500060
What is the common denominator of 23/514402 and -19/24?
6172824
Calculate the least common multiple of 38256 and 248.
1185936
What is the common denominator of -49/29840 and -139/120?
89520
Calculate the common denominator of 1/10543 and 58/65.
52715
Find the common denominator of -109/940 and -107/26884.
134420
What is the common denominator of 35/34681 and 11/2?
69362
Find the common denominator of 33/8 and -99/423580.
847160
Find the common denominator of -101/3090 and 41/2100.
216300
Calculate the smallest common multiple of 5811 and 1.
5811
What is the lowest common multiple of 15390 and 1710?
15390
What is the smallest common multiple of 12336 and 69?
283728
Calculate the common denominator of -27/3188 and 1/3.
9564
Calculate the common denominator of -109/8172 and 129/86260.
776340
What is the smallest common multiple of 10440 and 551?
198360
What is the smallest common multiple of 23461 and 203?
164227
Calculate the common denominator of 23/50382 and 131/33588.
100764
What is the common denominator of -28/388165 and 57/310532?
1552660
What is the lowest common multiple of 16926 and 592?
5010096
What is the common denominator of 37/12504 and 125/24?
12504
Find the common denominator of -139/216720 and -109/5418.
216720
Find the common denominator of 101/153840 and 43/240.
153840
What is the lowest common multiple of 6 and 394540?
1183620
What is the common denominator of -49/8 and -44/2617321?
20938568
What is the smallest common multiple of 96 and 2664?
10656
Find the common denominator of 27/21320 and 131/72.
191880
Find the common denominator of -91/161160 and 26/555.
5962920
What is the common denominator of 37/1440 and 109/504?
10080
Calculate the common denominator of 97/528 and 131/4686.
37488
Calculate the common denominator of 48/235 and 31/670.
31490
Calculate the smallest common multiple of 51009 and 84.
204036
What is the smallest common multiple of 8 and 77432?
77432
Calculate the lowest common multiple of 553 and 2653.
209587
What is the common denominator of 115/33654 and -5/370194?
370194
Calculate the least common multiple of 31120 and 28008.
280080
Find the common denominator of 51/20 and -37/4900.
4900
What is the smallest common multiple of 2164 and 1320?
714120
What is the smallest common multiple of 105841 and 3?
317523
What is the common denominator of -8/27 and 68/69759?
209277
What is the common denominator of -46/346299 and 38/1297?
346299
Calculate the common denominator of 25/5833 and -101/1842.
34998
What is the common denominator of -48/95 and -77/750?
14250
What is the smallest common multiple of 179170 and 110?
1970870
Calculate the common denominator of -95/768 and 151/372.
23808
Calculate the common denominator of -61/24030 and -91/176220.
528660
Calculate the least common multiple of 71008 and 104.
923104
Calculate the least common multiple of 69260 and 80.
277040
Find the common denominator of 31/1119951 and -5/24.
8959608
Calculate the least common multiple of 9272 and 24888.
472872
Calculate the least common multiple of 6 and 205478.
616434
Calculate the lowest common multiple of 152 and 70696.
1343224
What is the common denominator of -139/420 and 25/3093?
433020
What is the lowest common multiple of 144 and 120?
720
What is the smallest common multiple of 26 and 52166?
678158
Calculate the common denominator of 35/1707 and 4/15363.
15363
What is the lowest common multiple of 32 and 1131024?
2262048
Calculate the common denominator of 137/780 and 27/19360.
755040
Calculate the lowest common multiple of 4080 and 114.
77520
What is the common denominator of 119/22836 and 31/57090?
114180
What is the common denominator of 55/3174 and -97/506?
34914
Calculate the common denominator of 65/49776 and -49/99552.
99552
Calculate the common denominator of 17/699000 and 97/400.
1398000
Calculate the common denominator of -75/15604 and 3/32806.
5445796
What is the common denominator of 41/43071 and -37/2058?
602994
Calculate the common denominator of 137/580692 and -62/27.
5226228
What is the least common multiple of 198 and 169620?
508860
Find the common denominator of -77/4 and -43/264.
264
Calculate the smallest common multiple of 3 and 120061.
360183
Calculate the least common multiple of 509678 and 117.
4587102
What is the lowest common multiple of 218000 and 87200?
436000
What is the least common multiple of 772730 and 141930?
6954570
Calculate the common denominator of -37/12036 and -31/3009.
12036
What is the smallest common multiple of 9750 and 300?
19500
What is the least common multiple of 535560 and 803340?
1606680
What is the smallest common multiple of 3780 and 7560?
7560
Find the common denominator of 39/88 and 29/10536.
115896
What is the smallest common multiple of 16068 and 12?
16068
Calculate the common denominator of -37/282 and 1/8712.
409464
What is the least common multiple of 10931 and 105?
1147755
What is the lowest common multiple of 129 and 13713?
589659
What is the common denominator of 79/852 and 68/4899?
19596
Calculate the common denominator of 17/230 and -39/54257.
542570
Calculate the smallest common multiple of 111796 and 167694.
335388
Calculate the smallest common multiple of 8 and 1300.
2600
What is the least common multiple of 2520 and 525?
12600
What is the common denominator of -26/89595 and -88/63?
627165
What is the least common multiple of 16 and 42464?
42464
Calculate the least common multiple of 38 and 486115.
972230
Calculate the least common multiple of 133245 and 1575.
666225
Calculate the common denominator of -27/193424 and 127/660.
2901360
Calculate the least common multiple of 672 and 280.
3360
Calculate the common denominator of 43/708860 and 28/13869.
6379740
What is the least common multiple of 390 and 2832?
184080
Find the common denominator of -85/10446 and -11/114.
198474
Calculate the common denominator of 19/6120 and -101/288.
24480
Calculate the common denominator of -32/15 and 61/624915.
624915
What is the least common multiple of 245388 and 3146?
245388
Calculate the common denominator of -121/197930 and 103/50.
989650
Calculate the least common mult | {
"pile_set_name": "DM Mathematics"
} |
*z wrt j?
264*j*z + 1260*z
What is the first derivative of -185*y + 1072 wrt y?
-185
What is the derivative of 25*l**2 - l - 268 wrt l?
50*l - 1
Find the second derivative of -36*s**2*x**2*y - 23*s**2*x - 2*s**2 + 2*s - 2*x*y wrt x.
-72*s**2*y
What is the first derivative of -92*n*y**2 - 8716*n - 4*y**3 wrt y?
-184*n*y - 12*y**2
What is the third derivative of -1425*w**5 - 1748*w**2?
-85500*w**2
What is the second derivative of 3*u**3 - 4*u**2 - u + 99?
18*u - 8
What is the second derivative of -9337*v**2 - v + 576?
-18674
Differentiate 15*l**3*r + 3*l**2*r**2 - 674*r**2 wrt l.
45*l**2*r + 6*l*r**2
Find the first derivative of -2*q**3 + 31*q**2 - 7*q + 1682 wrt q.
-6*q**2 + 62*q - 7
What is the first derivative of 58*q**3 + 2*q + 418 wrt q?
174*q**2 + 2
What is the derivative of -7*m*p*z + 2*m*z - 11*p*z + 3*p + 635 wrt p?
-7*m*z - 11*z + 3
What is the first derivative of 157*r**2 + 21*r + 21449 wrt r?
314*r + 21
What is the third derivative of -1074*w**3 + 483*w**2 + w?
-6444
Find the third derivative of -2153*n**3*s**3 + 2*n**2*s**3 + 372*n**2*s**2 + 2*n**2*s + n wrt n.
-12918*s**3
Find the second derivative of -5*o**4*x + 173*o**3*x**3 - 3*o*x**3 + 91*o*x**2 - 2*x**3 wrt o.
-60*o**2*x + 1038*o*x**3
Find the third derivative of 11*a**5 - 2*a**4 + 5*a**3*y - a**2*y + 3*y wrt a.
660*a**2 - 48*a + 30*y
Find the second derivative of -7928*v**2*z - 57*v*z + v - 15*z wrt v.
-15856*z
Find the third derivative of 459*v**5 + 232*v**2 + 1.
27540*v**2
What is the second derivative of -126*d**3*i**2 - 7*d**3*i + 2*d**2*i**2*x + 2*d**2*x - d*i wrt i?
-252*d**3 + 4*d**2*x
What is the third derivative of -14*d**6 - 4*d**3 - 2*d**2 + 288*d?
-1680*d**3 - 24
Find the first derivative of a**2*x - 168*a**2 + 65*x + 1 wrt a.
2*a*x - 336*a
Find the third derivative of -345*p**5 + p**2 - 108 wrt p.
-20700*p**2
Find the first derivative of -i**3*v*x + 1325*i**3 + 51*v*x - v + 17*x wrt x.
-i**3*v + 51*v + 17
What is the third derivative of -71*j**5 + j**3 + 5*j**2 - 4 wrt j?
-4260*j**2 + 6
What is the first derivative of -205*u**4 + 587?
-820*u**3
Find the third derivative of -1245*q*r**3*s - 6*q*r**3 + q*r**2 - 2*q*r + 3*q*s - 2*r**2 - 13*s wrt r.
-7470*q*s - 36*q
Find the second derivative of 2120*s**5 - 515*s.
42400*s**3
Find the second derivative of 2*f**5 + 760*f**3 + 9263*f wrt f.
40*f**3 + 4560*f
What is the second derivative of -1305*v**3 + 173*v + 4?
-7830*v
Differentiate -9*b*h - 2539*b + 20*h**3 + 2 wrt h.
-9*b + 60*h**2
Find the second derivative of -7*b**3*g**2 - 3*b**3*g + b**3*s - 2*b**2*g**2*s + 3*b**2*g - 6*b**2*s + 11*b*g**2 + 5*g*s wrt g.
-14*b**3 - 4*b**2*s + 22*b
What is the first derivative of 197*b*q**2 - 65*q**2 wrt b?
197*q**2
What is the first derivative of -2*q**4 + 350*q**2 + 259?
-8*q**3 + 700*q
What is the third derivative of -195*s**6 + 465*s**2 + 1?
-23400*s**3
Find the second derivative of -2*f**5 - 1476*f**3*s**2 - f*s**2 - f + 695*s wrt f.
-40*f**3 - 8856*f*s**2
What is the first derivative of 5*c**3 - 1755*c + 4731?
15*c**2 - 1755
What is the second derivative of 3*x**3 - 53*x**2 - 4*x + 21?
18*x - 106
Find the first derivative of 6100*r + 9529.
6100
Find the second derivative of -55*x**4 + 32*x**3 - 2432*x.
-660*x**2 + 192*x
What is the third derivative of a**4*y + a**4 - 2*a**3*i*y + 4*a**3*y - 5*a**2 + 6*a*i + 3*i*y wrt a?
24*a*y + 24*a - 12*i*y + 24*y
Find the second derivative of 462*y**5 + 347*y wrt y.
9240*y**3
Differentiate -105*d**3*t**2 - 5*d**3 - 2*d*t - 43*t**2 - 10*t wrt d.
-315*d**2*t**2 - 15*d**2 - 2*t
Find the second derivative of -167*p**2 + 137*p.
-334
Differentiate 253*m + 54 wrt m.
253
Find the third derivative of -1079*y**3 - 554*y**2.
-6474
Differentiate 1658*c**4 + 3387 with respect to c.
6632*c**3
What is the first derivative of -6*w**4 - 2*w - 3200?
-24*w**3 - 2
Find the third derivative of 800*o**6 + 799*o**2.
96000*o**3
Find the third derivative of 215*k**3*l**6 + k**3*l**3 + 5*k**3*l**2 - 132*k*l**2 wrt l.
25800*k**3*l**3 + 6*k**3
Find the second derivative of -1630*b**4 - 5*b + 38.
-19560*b**2
Find the second derivative of -1795*j**2 + 7*j - 39.
-3590
What is the third derivative of -312*c**3 + 554*c**2?
-1872
What is the derivative of 26*m*z + m - 317*z wrt m?
26*z + 1
Find the second derivative of -23*a**2*t**2 - 193*a**2 + 5*a*t**2 + a*t - 415*t wrt a.
-46*t**2 - 386
Differentiate -1283*x - 292 with respect to x.
-1283
What is the third derivative of -20*c**3*h**3 - 201*c**2*h**3 wrt c?
-120*h**3
Find the second derivative of -51*o**3 - o**2 - 139*o wrt o.
-306*o - 2
What is the third derivative of -232*t**4 - 4*t**3 - 89*t**2 - 24*t?
-5568*t - 24
What is the third derivative of 273*b**5*j - 11*b**4*j**2 - 150*b**2*j**2 - 6*b*j**2 wrt b?
16380*b**2*j - 264*b*j**2
What is the derivative of -j**4 + 3*j**3 + 187 wrt j?
-4*j**3 + 9*j**2
Find the third derivative of 6*m**3*p*q*t**2 + m**3*q**2 - 2*m**3*t**3 - 2*m**2*q**2*t + 2*m**2*q - m*q**2*t**3 + p*t**2 wrt m.
36*p*q*t**2 + 6*q**2 - 12*t**3
Find the second derivative of 2*d**4*k + 2*d**2*k - 2217*d**2 - 13698*d*k wrt d.
24*d**2*k + 4*k - 4434
What is the third derivative of -3*l**5 - 26*l**4 - 19*l**3 + 7127*l**2 - 2*l wrt l?
-180*l**2 - 624*l - 114
Find the third derivative of -22*i**5 + 7*i**3 + 127*i**2 wrt i.
-1320*i**2 + 42
Find the second derivative of 53*q**4 + 31*q**2 - 144*q + 4 wrt q.
636*q**2 + 62
What is the derivative of g**4 - 698*g**3 - 6812 wrt g?
4*g**3 - 2094*g**2
What is the second derivative of g**5*v + 2699*g**2 - g*v - 133*g + 3*v wrt g?
20*g**3*v + 5398
What is the derivative of -33*f**3*i*l + 2*f**3*i - f**2*i*l - 148*f**2*i - 2*i*l wrt l?
-33*f**3*i - f**2*i - 2*i
Find the second derivative of -201*m**3*w**5 + 3*m**3 - 2*m*w - 3*w**5 wrt w.
-4020*m**3*w**3 - 60*w**3
Find the second derivative of -2*a**3*h**2 - 22*a**3*h - 4*a**2*h**2 + 13*a*h**2 - a + 9 wrt a.
-12*a*h**2 - 132*a*h - 8*h**2
What is the third derivative of 5*b**6*p + 9*b**4*p - 2*b**2*p + 3*b**2 + 6*b*p wrt b?
600*b**3*p + 216*b*p
What is the second derivative of -5*j**5 + 8*j**4 + 5*j**3 + 3204*j + 1?
-100*j**3 + 96*j**2 + 30*j
What is the derivative of 2*f*l**3 - 8*f*l*w - 6*f*p - 4*l**3*p*w + l**3*w + l**3 - p wrt f?
2*l**3 - 8*l*w - 6*p
Find the first derivative of 312*j**4 - 634.
1248*j**3
Find the third derivative of -2*s**5*w**2 + 60*s**3*w - s**2*w**2 - 4*s - w**2 wrt s.
-120*s**2*w**2 + 360*w
What is the third derivative of -q*w*x**3 + 3*q*w*x**2 - 6*q*w*x + q*w + 2*q*x**3 - 20*x**5 wrt x?
-6*q*w + 12*q - 1200*x**2
What is the second derivative of 341*j**2 - 4*j + 145?
682
What is the second derivative of 8710*i**2 + 1152*i?
17420
Find the second derivative of 761*w**5 - 446*w.
15220*w**3
Find the first derivative of -23*n**3*q + 20*n**3 + q**2 - 2*q wrt q.
-23*n**3 + 2*q - 2
Find the second derivative of 2*h**2*m**2*o**2 + 5*h**2*m**2*o + h**2*m + 3*h**2*o**2 + 2*h**2*o - 2*h**2 - 4*h*m**2 - 314*h*o**2 wrt o.
4*h**2*m**2 + 6*h**2 - 628*h
Differentiate -4*f**2*t - 26*f**2 - 96*f*t - 2*f - 64 wrt t.
-4*f**2 - 96*f
Differentiate 3*d**3*i**3 - 2*d**3*i - 85*d**3 + 18*d*i with respect to i.
9*d**3*i**2 - 2*d**3 + 18*d
Find the third derivative of 1213*w*y*z**6 + 3*w*y*z**2 - w*z**2 - 8*w*z + 2*y*z**6 + 9*y*z + 2*z wrt z.
145560*w*y*z**3 + 240*y*z**3
What is the first derivative of -198*p**4 - 65?
-792*p**3
What is the third derivative of -3*d**5 + 13*d**3 - 274*d**2?
-180*d**2 + 78
Differentiate -249*i + 2527 wrt i.
-249
What is the third derivative of -2*b**3*j**3 + 382*b**3*j**2 - 12*b**2*j**3 - 12*j**2 wrt b?
-12*j**3 + 2292*j**2
What is the third derivative of -391*i**3*n**3 - 2*i**3*n**2 + 22*i**2*n**3 - 2*i**2 wrt i?
-2346*n**3 - 12*n**2
What is the first derivative of 2*h*k*t + h*k - 119*h*t + 5*k*t - 3*t + 1 wrt h?
2*k*t + k - 119*t
Find the third derivative of 13256*z**3 - 12551*z**2.
79536
What is the second derivative of 3305*g**2 + 208*g - 3?
6610
What is the derivative of -2*i**3*s**2 - 3*i*s**3 + 10*i*s + 445*s**3 wrt i?
-6*i**2*s**2 - 3*s**3 + 10*s
Find the third derivative of p*s**5 + 12*p*s - 149*s**5 + 2*s**2 wrt s.
60*p*s**2 - 8940*s**2
What is the first derivative of -61*h**2 + h + 1125 wrt h?
-122*h + 1
Find the third derivative of -416*v**4 + 653*v**2 wrt v.
-9984*v
What is the second derivative of -187*x**3 + 2*x + 121?
-1122*x
W | {
"pile_set_name": "DM Mathematics"
} |
) + sqrt(152))*1)/(sqrt(8) - sqrt(64)/(sqrt(24)/sqrt(3) + sqrt(8) + sqrt(8))).
3*sqrt(19)/2
Simplify -4 + sqrt(1331)*-2.
-22*sqrt(11) - 4
Simplify ((sqrt(7) - (sqrt(7) + -1)) + -4)*2.
-6
Simplify 1*sqrt(13)*1 + (sqrt(65)*1)/sqrt(5).
2*sqrt(13)
Simplify ((-2 + sqrt(304))*-4)**2.
-256*sqrt(19) + 4928
Simplify (sqrt(330)/(sqrt(30)/sqrt(5)))/(sqrt(320)*2 + sqrt(5) - sqrt(5)).
sqrt(11)/16
Simplify (4 + (sqrt(605) + 3)*-5)**2.
1210*sqrt(5) + 15246
Simplify 2 + 2 + sqrt(363) + -5.
-1 + 11*sqrt(3)
Simplify 6*(1 + sqrt(78)/(2*sqrt(54) + sqrt(54))).
2*sqrt(13)/3 + 6
Simplify (sqrt(12)/(sqrt(42)/sqrt(7)))**2 + sqrt(2) + 1 + -3.
sqrt(2)
Simplify ((sqrt(500) - -1*sqrt(500) - sqrt(500)) + sqrt(500))**2.
2000
Simplify sqrt(27)/(sqrt(9) - (-2*sqrt(72) + sqrt(72))/sqrt(8)).
sqrt(3)/2
Simplify (1 + 6*sqrt(2448)*-2)**2.
-288*sqrt(17) + 352513
Simplify -3 + 1 + sqrt(7) - (sqrt(14)/sqrt(2) + 1).
-3
Simplify 5*(sqrt(36)/sqrt(3) + 0).
10*sqrt(3)
Simplify 1 + ((sqrt(77) - sqrt(77)*-2)/sqrt(11))**2 + sqrt(49)/sqrt(112).
sqrt(7)/4 + 64
Simplify (sqrt(1331)*2*-2 - (sqrt(1331)*1 + -1))**2.
-110*sqrt(11) + 33276
Simplify (((sqrt(5) - 1*sqrt(5)) + -1)**2 + -1)*6 + 2.
2
Simplify ((-2*sqrt(104))/sqrt(2))**2.
208
Simplify (sqrt(1176) - -1*sqrt(1176) - sqrt(24))/(sqrt(32)*2).
13*sqrt(3)/4
Simplify (sqrt(700) + -2 + sqrt(700) + -3)**2 - sqrt(700).
-210*sqrt(7) + 2825
Simplify sqrt(16)/(sqrt(8) + sqrt(16)/sqrt(2)*-4).
-sqrt(2)/3
Simplify (sqrt(153)/sqrt(3)*-3)/(sqrt(24)/sqrt(2)).
-3*sqrt(17)/2
Simplify sqrt(153)/((sqrt(72) + (sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72)*5 - sqrt(72))) + sqrt(72))))/sqrt(8)).
sqrt(17)/3
Simplify (0 + sqrt(17) + -1)*-4.
-4*sqrt(17) + 4
Simplify ((2 + 1*sqrt(147) + sqrt(147) + sqrt(147) + 4 + sqrt(147) + sqrt(147))*-4)**2.
6720*sqrt(3) + 59376
Simplify (sqrt(102)/(-5*(sqrt(6) - -3*sqrt(6))))**2.
17/400
Simplify (-4*((sqrt(288) - 1*sqrt(288)) + sqrt(288) - sqrt(288)) - (3 + sqrt(32) + sqrt(32)*2 + sqrt(32)))**2.
96*sqrt(2) + 521
Simplify 2 + -3 + sqrt(153) + 0.
-1 + 3*sqrt(17)
Simplify (sqrt(3) + 0)**2*-2 - (sqrt(48) + -1 + sqrt(48))**2.
-199 + 16*sqrt(3)
Simplify (sqrt(468) + -1*sqrt(468)*2 + (sqrt(468) - 2*sqrt(468)) + 1)**2.
-24*sqrt(13) + 1873
Simplify ((sqrt(91) + (2*sqrt(91) - sqrt(91)))/sqrt(7) + 2)*5.
10 + 10*sqrt(13)
Simplify (5*-2*(sqrt(153) - (sqrt(153) + -1 + sqrt(153))))**2.
-600*sqrt(17) + 15400
Simplify sqrt(304)*-2 + sqrt(475)*2.
2*sqrt(19)
Simplify -3*(6*sqrt(325)*-3)**2.
-315900
Simplify (0 + sqrt(637))*-4.
-28*sqrt(13)
Simplify sqrt(363)*-2 + 3 + (sqrt(363)*2)**2*-1.
-1449 - 22*sqrt(3)
Simplify (((sqrt(98)*1)/sqrt(2))/sqrt(7))**2 + 1.
8
Simplify -2*((-1 + sqrt(396))**2*5 - sqrt(396)).
-3970 + 132*sqrt(11)
Simplify (sqrt(38)/sqrt(8))**2 + -5.
-1/4
Simplify sqrt(110)/(-3*sqrt(30)/sqrt(3)).
-sqrt(11)/3
Simplify (5 + sqrt(2057)*1)**2.
110*sqrt(17) + 2082
Simplify -5*((-4 + (sqrt(208) - (sqrt(208) + -2)))*-3)**2.
-180
Simplify (2*sqrt(5200))/(sqrt(4)*-1*-6).
10*sqrt(13)/3
Simplify sqrt(12)/sqrt(6) + -5 + (sqrt(108)/sqrt(6))**2.
sqrt(2) + 13
Simplify (1*sqrt(22)*-6)/(sqrt(8)*-3).
sqrt(11)
Simplify ((sqrt(66)*3*-4)/(sqrt(96) - (sqrt(96) - (sqrt(96)*-3 + sqrt(96)))))**2.
99/4
Simplify (1*-1*sqrt(15))/(sqrt(243)*-1).
sqrt(5)/9
Simplify -5 + (sqrt(209)/(sqrt(1584) + sqrt(1584) + (2*sqrt(1584) - sqrt(1584))))**2.
-6461/1296
Simplify 1 + (sqrt(11) - (sqrt(11) + sqrt(275))) + (sqrt(22)/sqrt(2) + -3 - sqrt(11))**2.
-5*sqrt(11) + 10
Simplify (2*(sqrt(12) - (-2*sqrt(12) - sqrt(12) - sqrt(12))))/(sqrt(16)*5).
sqrt(3)
Simplify (sqrt(22)/sqrt(176))**2 + sqrt(2)*-1*-3.
1/8 + 3*sqrt(2)
Simplify (sqrt(40) + (-1*sqrt(480))/sqrt(12))/sqrt(8).
0
Simplify sqrt(20)/sqrt(4) + -5 - ((sqrt(720) + 3*sqrt(720))**2 - sqrt(5)).
-11525 + 2*sqrt(5)
Simplify sqrt(204)/(2*sqrt(768)).
sqrt(17)/16
Simplify sqrt(209)/(sqrt(77)/sqrt(7)) + -1.
-1 + sqrt(19)
Simplify (0 + sqrt(243)*1)**2.
243
Simplify ((2 + sqrt(343)*1)**2 + (-1 + sqrt(343) + -5)**2)*-3.
-2178 + 168*sqrt(7)
Simplify (sqrt(5) - (sqrt(20)/sqrt(4) + -5) - (sqrt(180) - (sqrt(180) + 0 - sqrt(180)))**2)*-5.
875
Simplify -6*(sqrt(192) + -1 - sqrt(3) - sqrt(3))*1.
-36*sqrt(3) + 6
Simplify 2*(sqrt(1700) + -2 + 4).
4 + 20*sqrt(17)
Simplify 2 + sqrt(52) + sqrt(13) + (sqrt(13) - (sqrt(117)*-2)/sqrt(9)).
2 + 6*sqrt(13)
Simplify ((-2*sqrt(12))/sqrt(4) - (sqrt(36)*-2)/sqrt(12))**2.
0
Simplify 3 + sqrt(27) - sqrt(12)*-1.
3 + 5*sqrt(3)
Simplify 2*6*(sqrt(343) - sqrt(343)*1)*4.
0
Simplify (1 + sqrt(1573) + 0 + -1)*-6.
-66*sqrt(13)
Simplify sqrt(11) + (sqrt(99)*-2)/sqrt(9) + sqrt(44)/sqrt(4)*5 + 1.
1 + 4*sqrt(11)
Simplify (sqrt(351)/sqrt(3) - sqrt(13))**2 + (sqrt(130)*-1)/sqrt(10).
-sqrt(13) + 52
Simplify -6*(5*sqrt(343)*-1 + -4).
24 + 210*sqrt(7)
Simplify sqrt(22)/(sqrt(24)/sqrt(108)) - ((sqrt(11) - (sqrt(99) + -3)) + 5)**2.
-108 + 35*sqrt(11)
Simplify (sqrt(75)*2)**2*6.
1800
Simplify ((sqrt(198) - sqrt(198)*2*1) + sqrt(198))/(sqrt(66)/(sqrt(24)/sqrt(4))).
0
Simplify 4 + sqrt(2448) + -1.
3 + 12*sqrt(17)
Simplify (((sqrt(1008) + 1)**2 + sqrt(1008) - sqrt(1008)) + sqrt(7) - (sqrt(70)*-1)/sqrt(10)) + (1 + sqrt(343))*-6.
-16*sqrt(7) + 1003
Simplify -3 + (5*(sqrt(175) + 2))**2.
500*sqrt(7) + 4472
Simplify (4 + -2*sqrt(13) - (sqrt(13) + 0)*-5)*-3.
-9*sqrt(13) - 12
Simplify -2 + 1*(-1*sqrt(2)*5)**2.
48
Simplify (sqrt(2835)*2 - sqrt(2835) - sqrt(35) - sqrt(35))/((sqrt(50) - sqrt(50)*2)/sqrt(10)).
-7*sqrt(7)
Simplify 1*(sqrt(468) - (sqrt(468) - sqrt(468)*-4)).
-24*sqrt(13)
Simplify (sqrt(425))**2*-5 + -4.
-2129
Simplify 4 + (sqrt(18))**2 - sqrt(8)/(sqrt(4)*2).
-sqrt(2)/2 + 22
Simplify 5*-2*sqrt(243).
-90*sqrt(3)
Simplify (sqrt(300) + sqrt(300)*2 + 0)*-5.
-150*sqrt(3)
Simplify ((sqrt(36)/sqrt(3) - sqrt(3)) + 2 + sqrt(6)/sqrt(2))*6.
12 + 12*sqrt(3)
Simplify (-6*5*(sqrt(76)/sqrt(4) + sqrt(19)))**2.
68400
Simplify -5 + ((sqrt(153) + sqrt(153) + sqrt(153)*1)*4 - (-1 + (sqrt(153) - (sqrt(153) + -1))))**2.
22027
Simplify (-5*(sqrt(5) + (-2*sqrt(45))/sqrt(9)))**2.
125
Simplify -5*(-4*sqrt(252))**2.
-20160
Simplify 2*(sqrt(192) - -4*-2*sqrt(192)).
-112*sqrt(3)
Simplify (sqrt(121) - 5*sqrt(121)*-3)/sqrt(11).
16*sqrt(11)
Simplify 4*(-1*sqrt(3520))/(sqrt(15)/(sqrt(3)*-1)).
32*sqrt(11)
Simplify -3*sqrt(13)*-2*1.
6*sqrt(13)
Simplify (sqrt(363) + 1 + -2)**2.
-22*sqrt(3) + 364
Simplify (sqrt(187) - -6*(sqrt(187)*-2 - sqrt(187)))/(sqrt(176) + (sqrt(176) - sqrt(176)*1)).
-17*sqrt(17)/4
Simplify 4*(sqrt(19) + (sqrt(19) + sqrt(19)*-4)**2 + 3 + sqrt(19)).
8*sqrt(19) + 696
Simplify 6*sqrt(38)/(sqrt(2)*4)*-3.
-9*sqrt(19)/2
Simplify ((-1*sqrt(1008) + sqrt(1008))/sqrt(9))**2*-1.
0
Simplify ((-4*(sqrt(21) - (sqrt(21) - (sqrt(21) - (sqrt(84) - sqrt(21))))))/sqrt(7))**2.
0
Simplify sqrt(99) - (-3*sqrt(99) + 1)**2.
-892 + 21*sqrt(11)
Simplify (sqrt(75)*-2*-2 - -3*sqrt(75)*-1)**2.
75
Simplify ((sqrt(171) - (sqrt(171) - -1*sqrt(171))*6) + sqrt(171) + sqrt(171))/sqrt(9).
-9*sqrt(19)
Simplify (sqrt(95) + -6*(sqrt(95) + sqrt(95)*2 + sqrt(95) - sqrt(95)))/(-1*sqrt(5)*-3).
-17*sqrt(19)/3
Simplify sqrt(5) + -3 + (0 + sqrt(5))**2 + -6*sqrt(80).
-23*sqrt(5) + 2
Simplify (-2*((sqrt(275) - sqrt(11)) + 3 - sqrt(11)))**2.
72*sqrt(11) + 432
Simplify (-1*sqrt(88))/(sqrt(77)/(sqrt(7)*-1)).
2*sqrt(2)
Simplify -5 + (4 + sqrt(13) + -1)*-5.
-20 - 5*sqrt(13)
Simplify (sqrt(2) + -6*(sqrt(2) + sqrt(12)/sqrt(6)))*3.
-33*sqrt(2)
Simplify (sqrt(1584)*2 + 3)**2.
144*sqrt(11) + 6345
Simplify (sqrt(110) + (sqrt(110) + (sqrt(110) + (sqrt(110) - -1*sqrt(110)*3) - sqrt(110)) - sqrt(110)))/sqrt(10).
5*sqrt(11)
Simplify 5*sqrt(152)/sqrt(128).
5*sqrt(19)/4
Simplify 2*(sqrt(132)/sqrt(192))**2*-5.
-55/8
Simplify (-1 + sqrt(2) + -2)**2 - sqrt(4)/sqrt(2)*-3.
-3*sqrt(2) + 11
Simplify (sqrt(1872) + 1 + 1)**2.
48*sqrt(13) + 1876
Simplify -4 + (sqrt(121)/(sqrt(44)/sqrt(4)) + 2)**2.
11 + 4*sqrt(11)
Simplify (sqrt(66)/sqrt(6) + sqrt(11) + 5 + -3)**2.
8*sqrt(11) + 48
Simplify sqrt(152)/(sqrt(392) - (sqrt(392) - 1*sqrt(392))).
sqrt(19)/7
Simplify (sqrt(44)*-6)**2 - (sqrt(110)/sqrt(2))/sqrt(5).
-sqrt(11) + 1584
Simplify 1*(sqrt(13) + (sqrt(65) - -1*sqrt(65))/sqrt(5)).
3*sqrt(13)
Simplify 4*(sqrt(12) + sqrt(3)) + -1 + -2*sqrt(3).
-1 + 10*sqrt(3)
Simplify (sqrt(1152)*-5 - sqrt(18))/(-5*sqrt(12)/sqrt(2)).
41*sqrt(3)/5
Simplify 5*(sqrt(567) + 0)**2*-1*6.
-17010
Simplify (2*sqrt(2057)*-6 + 4 + 0 + sqrt(2057) + | {
"pile_set_name": "DM Mathematics"
} |
5*l + 379 = -t - t, -12*t + 15*t - 7*t = -5*l + 383 for t.
-2
Solve -8 + 2 = 475*b - 470*b - 5*g + 4, -16 = 3*b - g for b.
-7
Solve 2*o - 402 = 11*m + 156, -9*m - 208 = -2*o + 9*m - 14*m for o.
4
Solve -h = -22222147*m + 22222149*m - 7, 4*h + 42 = 6*m for h.
-3
Solve -4*a + 45 = 3*p, 0 = -4*p + 20*a - 3345 + 3481 for p.
19
Solve -81 = 5*x - 13*q + 17*q, 5*x + 7*q - 76*q - 211 = 0 for x.
-13
Solve -10149*r = -0*p + 3*p - 10151*r, -19 = -4*p + 9*r for p.
-2
Solve 2*r + 3*v + 3 = 0, -2*r + 619*v = 634*v + 62 - 23 for r.
3
Solve 0 = s - 50*g + 45*g - 1, -307 = 17*s + 2*g - 6*g for s.
-19
Solve 4*j - 50 = -2*k, -11114*k + 11 = j - 11115*k for j.
12
Solve -5*i = -5*m - 175, 0 = -2*m - 40*i + 38*i + 62 for m.
-2
Solve -36 = -4*x + 14*l - 21*l, -5*x + 2*l = -17*l - 45 for x.
9
Solve -90489*n + 105 = -90510*n, g = -2*n - 6 for g.
4
Solve 3766*s + 5*k - 11 = 3762*s, -2*s + 16*k + 93 = k for s.
9
Solve 5*v = -3*x + 54, -x + 28 = 2389660*v - 2389655*v for x.
13
Solve -4134 = 2*o - 7*l - 4133, l - 11 = 3*o for o.
-4
Solve 5*l = 4*x - 40, x + 470 - 480 = 5*l for x.
10
Solve -6600*p + 6602*p + 151 = 9*t, -3*p = 3*t - 54 for p.
1
Solve -13 = -2*g + 5*s, -7*g + 27252*s - 12 = 27250*s - 42 for g.
4
Solve -3*i + 150 = -8236*a + 8240*a, -2*a + 68 = -2*i for i.
2
Solve -11*q + 8*q - 74 = -4*v - 9, -259*v + 3*q = -5165 for v.
20
Solve -3*w = -10*w + 10*w + 3*u + 141, 103 = -38*w - 5*u for w.
4
Solve 6*w - 3*t = 2*w - 101, -10*w - 64 = -5*t + 69 + 52 for w.
-5
Solve -f + 6*f + 3*v = -193, 0 = -2*v - 512 + 510 for f.
-38
Solve -159 = 5401*s - 5396*s - 3*w, 29*s - 22*w = -936 for s.
-30
Solve 4*s + 539 - 129 = -30*w, -84*s - 87*s = -w - 167*s + 7 for w.
-13
Solve 6*g - 5*f + 143 = -79, 7*g = 5*f + 14 - 233 for g.
3
Solve -5*v = -3*g - 135 - 52, 5*g + 255 = v - 64 for g.
-64
Solve 11*d - 20 = -6*u + 9*u, -4*u - 11*d - 11*d + 14 - 4 = 0 for u.
-3
Solve -2*z + 24*k - 556 + 648 = 0, 5*z - 4*k = 118 for z.
22
Solve -12*b + 33 = w - 52, -b - 18156*w + 2 = -18161*w for b.
7
Solve -2*c + 4*c = -24*h + 4*h + 772, -4*h + 5*c - 102 = -172 - 106 for h.
39
Solve 0 = 4*p - 3 + 3, -54*p - 15 = 53*t - 58*t for t.
3
Solve r - 5 = 4*d - 4*r, -2545*d - r - 65 = -2559*d for d.
5
Solve 11930021*d - 11930023*d - 4*l = 26, -20 - 18 = 5*d + l for d.
-7
Solve 583 = 20*x + j + 679, 5*j = -x + 15 for x.
-5
Solve -3*q - 5*a = -59, -29*q + 5*a = -2*a + 3*a - 361 for q.
13
Solve -1241*k - 61 = -4*y - 1236*k, -11*y - k - 24 = 0 for y.
-1
Solve -n + 29 = -3*p - p, 57*n - 62*n - 7663 = 956*p for n.
-3
Solve -4*j - o + 40 = 0, 0 = 80416*j - 80409*j + o - 73 for j.
11
Solve -19*f = 2*t - 576, -424 = f + 2*f + 4*t - 526 for f.
30
Solve -3057*o + 16*w = -3058*o + 469, -3*w + 92 = o for o.
5
Solve 5 = 4*y - 38*t + 33*t, 5*y + t + 1 = 0 for y.
0
Solve 32*o = 2*j - 148, 56885 = -5*j - 3*o + 57089 for j.
42
Solve -4*x = d + 49, 0 = 57968*x - 58166*x + 5*d - 2371 for x.
-12
Solve -16054*p + 16045*p - 285 = -5*q, 7*q - 399 = -3*p for p.
0
Solve 11*r + 4*p - 7*p = 14*r - 81, 128*r - 2*p + 314 = 0 for r.
-2
Solve 3*c = -10*y - 159, 317 - 471 = 4*c - 6*y for c.
-43
Solve 2*g + 2222 = 4*b + 2182, 13*g - b = -7*g - b + 4*b - 220 for g.
-10
Solve 27*f - 26*f - 22 = 2*o - 11, o = 5*f - 10 for f.
1
Solve 5*d - 25*t = d + 39 + 66, 5*d = 2*t - 7*t - 50 for d.
-5
Solve 75669*p - 75667*p = 3*l + 29 + 3, -5*l + p - 17 = 5*p + 29 for l.
-10
Solve -o - 1 = 0, -18*o + 210 = 2*y + 226 for y.
1
Solve -2*o = u - 4*u - 77, 760*o - 682*o - 5*u = 427 for o.
4
Solve 5 = 5*q + 2*y - 1, -37 = -4*q - 224*y + 235*y + 56 for q.
4
Solve -612 = 10*y - 4*p - 926, -4*y + 121 = -p + 4*p for y.
31
Solve -53 = -3*q + 5*v, 4*q + 201*v - 219*v = 116 for q.
11
Solve -16 = 3*h - 4*h + 3*g, 2*h - 4*g - 9*g = 7*g + 130 for h.
-5
Solve -3*a + i = 23, -11*a - 4186*i = -16*a + 4146 for a.
-8
Solve 0 = 5*i + p - 56 - 209 + 378, 97 = -4*i - 3*p for i.
-22
Solve h + 5 = 629*n - 628*n, 0 = -5*n + 20 for h.
-1
Solve g - p - 8 = 0, -337*g - 38 = -340*g + 5*p for g.
1
Solve 10*j = y - 16, 2*j + 86*y - 165*y + 32 = -80*y for j.
-4
Solve 34*j + 4*b + 172 = 0, 16*j - b = 13*j + 20 for j.
-2
Solve g + 1 = 3*u, -2*u + 199035 = 4*g + 199025 for u.
1
Solve -42*c = 2*m + 288, 426 = -c - 5*m + 226 for c.
-5
Solve -28*w - 84 = -2*r, 4*r + 429 - 420 = -3*w for w.
-3
Solve 3*k + 20*p - 62*p = 42*p + 1860, -54 = 3*k + 3*p for k.
4
Solve 714*i - 721*i = -4*m - 60, 3*i - m - 20 = 0 for i.
4
Solve -3*h = 5*x, 0 = 4*h + h - x - 11 + 6 - 14 - 9 for h.
5
Solve 4*p = n - 10, 14723*p - 14721*p - 94 = -4*n for p.
3
Solve 0 = 4*v + 3*k + 46, -126*k + 6 = -4*v - 125*k for v.
-4
Solve -2*r + 176 = 11*p, 16 = -15653*p + 15654*p - 4*r for p.
16
Solve 15*b - h - 27 - 27 = 0, 16*b - h - 14 = 7*b + 4*b for b.
4
Solve 0 = 2*a + 53*s - 56*s - 24, a = 5*s + 19 for a.
9
Solve -2*f - 5*h = 47, 271599*f - 2*h = 271596*f - 42 for f.
-16
Solve 25*b + 5*b + 55 = 17*z, -z + 0*b - 5*b = -2*z - 3*b + 3 for z.
5
Solve 276*b - 277*b - 30 = -5*h + 19, 2*b = -4*h + 42 for h.
10
Solve 29*k - 81 = 7*b - 9*b, 2*b + 4*k - 51 = -9*k - 6*k for b.
-3
Solve 5*c + 2*f = 63, 981*c - 3*f + 3 = 986*c - 84 for c.
3
Solve 2*w = -4*z + 64, -17*z + 19*z - 26 = -4*w for w.
-2
Solve 3*r - 5*x - 114 = 0, -5*x + 334 = 3*r + 220 for r.
38
Solve 3*o = b + 53*o + 178, -167*b - 54 = -170*b - 3*o for b.
22
Solve d = -3*a - 681145 + 681120, 4*d + a = 10 for d.
5
Solve -4*c - 23 - 49 = 12*h, -10*c = 3*h - 527 + 518 for c.
3
Solve 0 = 42*o - 47*o + 4*g - 5*g - 34, -3*o + 2*g = 23 for o.
-7
Solve d + 2*d + 51 = b, -4*b + 266 = 167*d - 160*d + 62 for d.
0
Solve -163 + 214 = b + 7*v, -33*b - 127 = -6*b + v for b.
-5
Solve -759*t = -763*t - 5*c - 24, -4*t = 3*c + 16 for t.
-1
Solve 4*l - m = -61, 3175278*l + 413 = 3175276*l + 9*m for l.
-4
Solve -5*m - 3590*c = -1811*c - 1803*c - 153, -5*m - 3*c = -99 for m.
21
Solve -32*q + d = -30*q - 36, 62*d + 34 = 61*d for q.
1
Solve 5*t - 3*p - 89 = -28, 6*p = 72*t + 8*p + 116 for t.
-1
Solve 2*g + 10*n - 144 = -15*n + 64*n, -n - 3*n + 14 = -5*g for g.
-6
Solve 4315*c - 4317*c + 3*q = -13, -2*c + 4*q + 14 = 0 for c.
5
Solve -m + 20*v - 44 - 6 = 11 - 33, -m + v = -10 for m.
12
Solve 4*r + 249 = 13*p - 20, -16*p = 507*r - 506*r - 337 for r.
1
Solve 0 = -2*o + 45*n + 55, -999*o + 3*n - 12 = -1002*o for o.
5
Solve -l - 185 = -27*z, 4*z - 3*l - 502737 + 502721 = 0 for z.
7
Solve i - 8 - 2 = u, 3*u - 253*i = -309 - 971 for u.
-5
Solve -45*k - 9*y + 14*y = -60 - 10, k + 52*y - 41 = 60*y for k.
1
Solve 18*z + 4*w = 3*w + 18, -14*w + 0*w = -11*w + 54 for z.
2
Solve -60 = 4*g - 4*i, 30 = -2*g - 79*i + 77*i for g.
-15
Solve 2082837 = 2*x - 17*l + 2082764, -38 = 3*x + 4*l for x.
-6
Solve -23*k + 25*k + 2*y + 38 = 0, 31 = 5*k - y for k.
2
Solve -406845*c = -406848*c - 12, j - 22 = 3*j + 5*c for j.
-1
Solve -36*p - 35 = -5*r - 21*p - 19*p, -5*r - 58*p = -305 for r.
3
Solve -5*u + 62*b - 957 - 134 = -0*u, -2*u = 3*b - 64 for u.
5
Solve 15*r - z + 5*z = -31*r - 0*z + 544, 30 = 3*r + 3*z for r.
12
Solve -3*s + 5*t + 5 + 2 = 0, -20*t - 1226 + 1246 = 0 for s.
4
Solve 101*o - 5*c - 4013 = 100*o - 3642, 300 = 4*o - 4*c for o.
1
Solve -d + 4*a + 55 - 73 = 0, 28*a - 114 = d for d.
-2
Solve 3*s - 7*s - 16 = 0, -65*s - 190 = -5*q - 25*s for q.
6
Solve -3*q + 2*j - 15 = 0, 20*j - 56 = 23 - 19 for q.
-3
Solve 3*q + 15*c + 3498 - 3978 = 0, 4*c - 124 = 0 for q.
5
Solve 0 = 5*c - j + 39 - 4, -2*c + 114 + 16 = 2*j for c.
5
Solve z - 2*z = 20*i + 3*z - 36, 173*z - 169*z + 10 = 3*i for i.
2
Solve 0 = -9017*h + 9038*h - 2*w + 34, 0 = 10*h - 2*w + 12 for h.
-2
Solve -2*p - 3*v - 4 - 2 = 0, 2*p = 24*v - 1142 + 1190 for p.
0
Solve 4*m + 50 = -7*n, 8*n + n - 29 + 85 = -m for m.
-2
Solve -4*m - 662 = 3*k - 613, 4*m - 3*k + 79 = 0 for m.
-16
Solve 9*h + 45 = -3*u, -150*u = -0*h - h - 154*u - 5 for h.
-5
Solve 0 = -2*w + 2, -2*w = 2*x - 3*w + 6*w + 9 for x.
-7
Solve -4*c + 28*i = 260, 2*c - 3*c - 33 = -3*c - 3*i - 10 for c.
-2
Solve 592*u - 531*u + 1397 = -2*i, 5*u - 3*i = -124 for u.
-23
Solve 2*y + 13 = 3*k, -4*k + 4*k + 78 = 15*k + y - 31 for k.
7
Solve -5*t + 601 = -138*n + 53*n - 259, -4*n + 5*t = 50 for n.
-10
Solve 300 = -2*z - 4*a, -5*a + 551 = -4*z + 939 for z.
2
Solve -502588*g + 502587*g - 9 = -5*f, f + 7*g = -63 for f.
0
Solve -97 = 5*s - 3*k + 43, -15*k - 17*k + 120 = -0*k - 8*k for s.
-25
Solve 28*u + 4*r = 31*u - 127, | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Suppose 0 = t + 5, -j + 3*t - 4*t = -726. Is j prime?
False
Suppose -5*b + 31 = 1. Let o = 20 - b. Suppose o = a - 23. Is a a prime number?
True
Let h be (-1)/5 - 63/(-15). Suppose -4*q + 54 = 4*p - 178, 5*q - 235 = -h*p. Is p a composite number?
True
Let w(m) = -m**2 - 7*m + 10. Let u be w(-8). Let j(t) = -t**u + 35 + 4*t - 3*t - t. Is j(0) prime?
False
Suppose -22519 = -4*b - u - 3459, -2*u = -5*b + 23825. Is b a composite number?
True
Let k(u) = -7*u + 5. Let l be k(-6). Let r(s) = -3*s - 3. Let y be r(-2). Suppose y*n - 34 = -2*i + 63, 2*n = -i + l. Is i composite?
False
Let m(j) = -12*j - 1. Let z = -7 - -6. Let x be -3 + 0/z - -2. Is m(x) composite?
False
Let w be ((-15)/9)/(4/96). Is (-2)/((w/(-796))/(-5)) composite?
False
Is (-9 + 10)/(1/1585) a composite number?
True
Let k(a) = -2*a - 2. Let y be k(-2). Suppose -y*i + 93 = i. Is i prime?
True
Is 1/(((-20)/(-1676))/5) prime?
True
Let n(i) be the third derivative of 11*i**6/120 + 3*i**2. Is n(1) prime?
True
Suppose 3*z + 2138 = 16865. Is z composite?
False
Let y = -2019 - -2958. Suppose -2*d - 2*t = -0*t - 382, 5*d - 3*t = y. Suppose 0 = -5*m - 24 + d. Is m prime?
False
Is (1 - 1 - -1)*2353 composite?
True
Let x be (-3)/(-3*3/12). Suppose 5*v + 4*k - 1 = 0, v = -3*k - x + 2. Suppose v = -3*f + 43. Is f a composite number?
True
Let n be ((-32)/(-12))/((-1)/3). Let p(q) = -q**2 - 3*q + 11. Let v be p(n). Let a = 24 - v. Is a a composite number?
False
Suppose 3*o + 4614 = 9*o. Is o prime?
True
Is (7 - (16 + 2))/((-2)/58) prime?
False
Let x = 29 + -52. Let a = x - -60. Is a composite?
False
Suppose 5*t - 3 - 9 = -2*b, 4*t - 24 = 2*b. Suppose 2*y = d - t + 1, -2*d = 4*y - 14. Is y - 2 - -15 - 0 composite?
True
Let b be 0 + 0 - 4/(-2). Suppose b*y + l - 30 = -0*y, -45 = -3*y + 4*l. Is y prime?
False
Suppose 3*p - 15 = 546. Is p composite?
True
Suppose 2*h = -2*q + 16, -q = 4*h + q - 34. Suppose -3*n - 4*s - 3 = -h, 0 = 2*s. Is n/6*(2 - -289) a prime number?
True
Suppose 11*r + 3110 = 17597. Is r a composite number?
True
Let l(t) = t**3 - 10*t + 5. Is l(8) composite?
True
Let h(y) = 5*y - 85. Let l(z) = 11*z - 170. Let s(n) = -13*h(n) + 6*l(n). Is s(0) prime?
False
Suppose 0 = -5*n + 15. Suppose 2*g = f - n*f + 1080, g = 4*f + 555. Let i = 916 - g. Is i prime?
True
Let o(l) = 164*l**2 - 2*l + 1. Is o(1) a prime number?
True
Let v = 256 + -89. Is v a prime number?
True
Let z = 982 - 648. Is z a prime number?
False
Let m(n) = -2*n + n - 2*n**2 - 2*n**2 - 2 + 8*n**2. Is m(-3) a composite number?
False
Let c be (3*-1)/(9/30). Let u(o) = -2*o**3 + 9*o**2 + 10*o + 3. Let p be u(8). Is 1/2 + p/c prime?
True
Let n(p) = 2 + 2*p - 3*p + 3. Is n(-5) a composite number?
True
Suppose 4*r - 1 = 3*b - 5, 3*b + 20 = -2*r. Let o be 1281/2*r/(-3). Suppose 4*k + 0*w = -5*w + o, 635 = 3*k + w. Is k prime?
True
Suppose -3*s - 2*j = -147, 5*j - 203 = -4*s - 0*j. Let w = s + -12. Is w a prime number?
False
Let p(h) = 12*h**2 - 3*h - 3. Suppose 5*w + l = -3*l + 32, -4*l = -3*w. Is p(w) a composite number?
True
Suppose -211 + 1792 = 3*i. Is i prime?
False
Let z(y) = y**2 - 19*y + 4. Let m be z(-15). Suppose -m = -i - i. Is i prime?
True
Suppose -2*u + 58 = -132. Is u a prime number?
False
Let t(k) = -3*k**2 - 6*k - 1. Let j be t(-8). Let w = 315 + j. Suppose b - 2*b = -d + 91, 0 = -2*d - 4*b + w. Is d prime?
True
Let l = 0 + -3. Let v = 1 - l. Suppose -5*c + 401 = -v*a, -2*c = -0*a + 2*a - 146. Is c a prime number?
False
Suppose 72 + 48 = 5*d. Suppose -m + d = -10. Is m a composite number?
True
Suppose 3*w - 1213 = 2*m, w - 426 = 7*m - 2*m. Is w a prime number?
True
Let a = 659 - 28. Is a composite?
False
Let p be ((-1)/(-3))/((-3)/(-1287)). Suppose -11 = -2*l + p. Is l composite?
True
Let s be 18/(-4)*(6 + 0). Suppose 18 = -3*d - 0*d. Let t = d - s. Is t a composite number?
True
Let w = 568 - 345. Is w a composite number?
False
Let r be (-1 + (-7)/3)*-3. Let k be 36/r + (-4)/(-10). Suppose -k*w = -134 - 174. Is w composite?
True
Let q(l) = 245*l + 12. Is q(11) a composite number?
False
Let w = -2 + -19. Is w/(-2) + (-3)/6 a composite number?
True
Suppose 7*g + 6 = 8*g. Suppose -537 = -g*h + 3*h. Is h a prime number?
True
Suppose -l + 219 = -3*u, -3*l = 2*u - 0*l + 157. Let q be u*1/(-2) + -3. Let i = 103 - q. Is i composite?
True
Suppose 4*c = 5*q + 85, -q + 20 = -5*q. Let b = c + 40. Is b composite?
True
Suppose 2*d + c = -d + 10, 4*c = -4*d. Suppose -y - 387 = -5*h - d*y, -y = 3*h - 235. Is h prime?
True
Suppose 6*a - a = -120. Let z be 2 - 1/((-2)/a). Is 4/6*(-285)/z a composite number?
False
Let f(r) = -r**3 + 6*r**2 - 6*r - 1. Let b be f(5). Let c(x) = -x**2 - 5*x + 8. Is c(b) a composite number?
False
Let f(q) = -q**3 - 6*q**2 + 6*q - 4. Is f(-7) composite?
False
Is 2 + 1 + 3201 - 1 prime?
True
Let j(x) = 5*x**2 + 11*x - 19. Is j(14) a prime number?
False
Let l = -95 + 388. Is l a prime number?
True
Let a(y) = y**2 - 9*y + 8. Let p be a(8). Suppose 6 = 2*f - 3*d, p*d = d. Suppose -f*q + 481 = 2*b, 4*b + 806 = 5*q + 3*b. Is q a composite number?
True
Suppose p = 2*g + 259, -g + 498 = 2*p - 0*g. Is p a composite number?
False
Let r be (3 - 1)*-2 - 4. Let h(p) = p**3 + 6*p**2 - p - 8. Let y be h(-6). Is 53*y/8*r composite?
True
Suppose -178 = 3*f + 44. Let m = 109 + f. Is m composite?
True
Suppose -5*j + 5*y + 456 = -7964, y = 3. Is j composite?
True
Suppose -3*b - n = -30, 2*n + 6 = b - 4. Let o(y) = 3*y + 7. Let v(q) = -4*q - 7. Let l(t) = -3*o(t) - 4*v(t). Is l(b) a composite number?
True
Let g be 130/(-4) + 5/10. Is 1/(-4) - 2216/g composite?
True
Let h be (-3)/2 - (-45)/6. Is (170/h)/(1/3) composite?
True
Suppose -t - 6 = 2*w, 4*w = -0*w - 12. Suppose 0 = -v - t*v + 47. Is v prime?
True
Let s(p) = -2 + 2*p - 174*p - 6*p - 129*p. Is s(-1) prime?
False
Suppose -n + 4*n = 18. Suppose -3*j + n*j + 3 = 3*a, 1 = -5*a - j. Suppose x - 33 = -a*x. Is x composite?
True
Let t = 23 - 17. Let l = 25 - t. Is l a composite number?
False
Let g = -22 + 12. Is (-93)/(-2) - 5/g a composite number?
False
Suppose d + 18 = m + 2*m, 4*d = 2*m - 22. Let u be -2 + 1*(m - 3). Suppose 0 = -0*j - 3*j - f + 9, u = -5*f. Is j a prime number?
True
Suppose 0 = 5*j - 6 - 19. Suppose -16 = -j*a + 34. Is a a composite number?
True
Let l(s) = s**3 - 7*s**2 + 2*s + 9. Is l(8) composite?
False
Suppose -2*i + 1293 = -3*i. Is (4/6)/((-2)/i) prime?
True
Let z(o) = -10*o**2 + o + 3. Let a be z(-7). Let y = -281 - a. Is y a composite number?
True
Suppose 0 = w + 4*w - 75. Is (2/5)/(1/w) a composite number?
True
Let l = 2062 - 1337. Suppose 4*n - l = -n. Is n composite?
True
Suppose 4*m + 32 = 5*w, 3*w + 0*m - m = 15. Suppose 5*l - w*n = 175, 3*n = -3*l + 7*n + 97. Suppose 5*k = 66 + l. Is k composite?
True
Let a = -6 + 10. Suppose 5*b = -a*p + 87, 5*b - p - 2*p - 101 = 0. Is b a prime number?
True
Suppose 4*d + 1395 = 9*d. Suppose -t = -140 - d. Is t a composite number?
False
Let b = 12 + -6. Suppose -b*d + 12 = -2*d. Suppose d*h - 6*w + w - 247 = 0, -3*w = 2*h - 152. Is h composite?
False
Suppose 7 = 5*b + 5*r - 78, -2*r = -3*b + 71. Let k = 36 - b. Is k a composite number?
True
Let v(d) = 5*d - 2 + 0 - 2. Suppose 12 + 6 = 3*b. Is v(b) a composite number?
True
Let x = 138 - -11. Is x composite?
False
Let y = 7 - 2. Let z(f) = -y*f + 2*f**2 - f**2 + 14 + 4*f. Is z(0) prime?
False
Let w(z) = -z**3 + 15*z**2 + 15*z - 17. Is w(14) a prime number?
True
Suppose -3*s + 1203 = -1437. Suppose 2*j = -4*y + 4*j + s, 0 = 3*y + 4*j - 671. Is y a composite number?
True
Let o(q) = -q + 4. Let y be o(5). Let b be (-2)/((-6)/9) + y. Suppose b*r + 3*t - 108 = 0, 0*t + 149 = 3*r - 2*t. Is r prime?
False
Suppose 0 = -3*z - 9, -4*z = -3*p - 5*z + 921. Is p/8 + (-1)/(-2) prime?
False
Let g = -8 - -3. Let a(s) be the first derivative of -s**4/4 - s**3 + 2*s**2 + 7*s - 3. Is a(g) prime?
True
Let a(y) = 210*y**3 - y + 2. Is a(1) a prime number?
True
Let j(m) = m**2 + m + 157. Let w(o) = 3*o - 2. Let d be w(2). Suppose d*z = 4*x - 12, 0 = -5*x + 2*z - 0*z + 6. Is j(x) a prime number?
True
Let d(v) = 5*v**2 + 6*v - 2. Let t be d(-8). Suppose 275 = 4*m - 3*i + 56, -5*i - t = -5*m. Is m composite?
True
Suppose 2*f - 3*f + 37 = 0. Is f prime?
True
Suppose -2*m - 3 = -3*m. Suppose -m*j - 188 = -5*z + 92, -202 = -4*z - 2*j. Is z prime?
True
Suppose x + 1476 = | {
"pile_set_name": "DM Mathematics"
} |
611, 92603, 143813, 206235?
279863
What is next in -14614, -14287, -13948, -13597, -13234, -12859, -12472?
-12073
What is the next term in 1676, 13239, 34688, 66029, 107268, 158411, 219464?
290433
What is the next term in -52053, -37655, -23257?
-8859
What is next in 10569, 42529, 95885, 170637?
266785
What is next in -8999, -9211, -9553, -10025, -10627, -11359, -12221?
-13213
What comes next: 158359, 158349, 158339?
158329
What is the next term in -482999, -482884, -482687, -482402, -482023, -481544?
-480959
What is next in 8673, 33608, 75167, 133350, 208157, 299588?
407643
What is next in -138881256, -277762511, -416643766, -555525021, -694406276, -833287531?
-972168786
What comes next: -179417, -179428, -179439?
-179450
What is the next term in 134987, 134947, 134861, 134729, 134551, 134327?
134057
What comes next: -89001, -356479, -802281, -1426407, -2228857?
-3209631
What comes next: 1176, 1176, 1178, 1182, 1188, 1196, 1206?
1218
What is next in 143679, 282547, 421417, 560289, 699163, 838039?
976917
What is next in 4322, 33350, 112142, 265580, 518546, 895922?
1422590
What is the next term in 349800, 696697, 1043594, 1390491, 1737388?
2084285
What comes next: -50, 694, 1412, 2086, 2698, 3230, 3664?
3982
What is next in -6529282, -13058558, -19587834?
-26117110
What is next in -705177067, -705177068, -705177069, -705177070, -705177071?
-705177072
What comes next: 223839, 895344, 2014519, 3581364, 5595879?
8058064
What is next in -19771632, -39543262, -59314892, -79086522?
-98858152
What comes next: -3607, -13800, -30809, -54640, -85299?
-122792
What comes next: 14631981, 14631979, 14631977, 14631975, 14631973, 14631971?
14631969
What is the next term in 12545544, 25091091, 37636638?
50182185
What is next in 147895, 297101, 447615, 599431, 752543, 906945?
1062631
What is the next term in 68297918, 273191680, 614681284, 1092766730, 1707448018, 2458725148, 3346598120?
4371066934
What is the next term in -7099, -8679, -10257, -11833, -13407, -14979, -16549?
-18117
What comes next: 3074, 3566, 4400, 5588, 7142, 9074, 11396?
14120
What is next in -19408, -19384, -19334, -19246, -19108?
-18908
What is the next term in 269, 356, 417, 440, 413, 324?
161
What is next in -18227, -18385, -18545, -18707, -18871?
-19037
What comes next: -2693135, -10772473, -24238033, -43089815?
-67327819
What comes next: -46259492, -46259491, -46259490, -46259489?
-46259488
What is next in -26739, -53764, -80791, -107820, -134851, -161884?
-188919
What is next in -1639774, -6559064, -14757880, -26236222?
-40994090
What is next in -285382, -570760, -856138, -1141516, -1426894, -1712272?
-1997650
What comes next: 34197, 68455, 102833, 137391, 172189, 207287, 242745?
278623
What comes next: 191763, 766816, 1725237, 3067026, 4792183?
6900708
What comes next: 76594, 76238, 75882, 75526, 75170?
74814
What is the next term in 1382275, 1382337, 1382441, 1382587?
1382775
What is next in -33844, -36184, -40076, -45514, -52492, -61004?
-71044
What is the next term in -2790, -2419, -1802, -939, 170?
1525
What is next in -21086824, -21086836, -21086856, -21086884, -21086920, -21086964?
-21087016
What is next in 16188, 33190, 50192, 67194?
84196
What is next in -56755, -55789, -54179, -51925, -49027?
-45485
What is next in 1721, 2812, 3897, 4976, 6049, 7116?
8177
What is next in 675, 972, 889, 426, -417?
-1640
What is next in 6217, 11538, 16857, 22174, 27489?
32802
What is next in 151950, 151893, 151840, 151791, 151746, 151705?
151668
What is the next term in 2024455, 2024452, 2024445, 2024434, 2024419?
2024400
What is next in -139431, -278631, -417827, -557019, -696207, -835391?
-974571
What is next in 588960, 589266, 589572, 589878?
590184
What is next in 5498, 5544, 5622, 5738, 5898?
6108
What is next in -32615148, -32615149, -32615150, -32615151, -32615152, -32615153?
-32615154
What is next in -6515, -6765, -7505, -8981, -11439, -15125?
-20285
What is next in 821206, 821152, 821098, 821044, 820990?
820936
What is the next term in 304253593, 304253592, 304253591, 304253590, 304253589?
304253588
What is next in -37847, -301787, -1018187, -2413277, -4713287, -8144447, -12932987, -19305137?
-27487127
What is next in -488, 7066, 19652, 37264, 59896, 87542, 120196?
157852
What is next in -21729, -21937, -22155, -22389, -22645, -22929?
-23247
What is the next term in -79224406, -79224401, -79224396, -79224391, -79224386, -79224381?
-79224376
What is next in -52316, -52331, -52376, -52463, -52604?
-52811
What comes next: 39207, 78104, 116995, 155880, 194759?
233632
What is the next term in 4311513, 8623026, 12934539, 17246052, 21557565?
25869078
What is next in 39250, 157050, 353384, 628252?
981654
What is next in 20996245, 41992533, 62988821, 83985109, 104981397, 125977685?
146973973
What is the next term in 15049, 15987, 16925, 17863, 18801?
19739
What is the next term in 522, 424, 510, 942, 1882?
3492
What is next in 15371, 61494, 138351, 245936, 384243, 553266?
752999
What is the next term in 136567, 273159, 409775, 546415, 683079, 819767?
956479
What is next in 4270, 8345, 12412, 16471, 20522, 24565, 28600?
32627
What is the next term in -4388, -9739, -15090?
-20441
What comes next: -3001, -11292, -24955, -43984, -68373?
-98116
What comes next: -10380, -20765, -31168, -41601, -52076, -62605, -73200?
-83873
What comes next: -268, -2658, -9146, -21784, -42624?
-73718
What is next in 585238, 2340930, 5267084, 9363700, 14630778, 21068318?
28676320
What is the next term in -11931, -47867, -107761, -191613, -299423?
-431191
What comes next: -105, 319, 743?
1167
What is next in -17879100, -35758200, -53637300, -71516400, -89395500, -107274600?
-125153700
What is next in -43548, -87083, -130620, -174159?
-217700
What is the next term in -25322023, -50644046, -75966069, -101288092, -126610115, -151932138?
-177254161
What is the next term in 91566, 91583, 91600, 91605, 91586, 91531, 91428, 91265?
91030
What comes next: -96763660, -193527318, -290290976?
-387054634
What comes next: 5392082, 5392103, 5392136, 5392187, 5392262, 5392367, 5392508, 5392691?
5392922
What comes next: 6662112, 6662110, 6662108?
6662106
What comes next: -71043, -142139, -213233, -284325, -355415, -426503?
-497589
What is the next term in -3271, -8181, -14733, -22927, -32763?
-44241
What comes next: -584848, -584937, -585160, -585583, -586272, -587293, -588712?
-590595
What is next in 9484, 10754, 12024, 13294, 14564?
15834
What comes next: 1139737, 4559064, 10257943, 18236374, 28494357, 41031892?
55848979
What is the next term in 85810538, 85810539, 85810540, 85810541, 85810542, 85810543?
85810544
What is the next term in 521, 4871, 16791, 40067, 78485, 135831, 215891, 322451?
459297
What comes next: -10759, -87705, -296565, -703297, -1373859?
-2374209
What is next in 7487, 7155, 6819, 6485, 6159, 5847, 5555, 5289?
5055
What is the next term in 350, 165, -140, -565, -1110, -1775, -2560?
-3465
What is next in -2330, -5785, -14642, -31601, -59362, -100625, -158090?
-234457
What is next in 4168, 4423, 4854, 5461, 6244, 7203?
8338
What is the next term in 18022503, 36045006, 54067509, 72090012?
90112515
What comes next: -126967, -253934, -380895, -507850, -634799, -761742, -888679?
-1015610
What comes next: -15961, -33462, -50963, -68464, -85965, -103466?
-120967
What comes next: 4105, 8329, 12641, 17035, 21505, 26045, 30649, 35311?
40025
What comes next: -696, -2791, -6314, -11289, -17740, -25691, -35166, -46189?
-58784
What is the next term in 73242, 146450, 219658?
292866
What comes next: -29590, -31760, -33928, -36094, -38258, -40420, -42580?
-44738
What is next in -146062, -292358, -438668, -584998, -731354, -877742?
-1024168
What is the next term in -200, -888, -2864, -6806, -13392, -23300?
-37208
What is next in -8825, -17228, -25213, -32786, -39953, -46720?
-53093
What comes next: 369042, 738015, 1106924, 1475769, 1844550, 2213267?
2581920
What is the next term in -552017, -1104038, -1656059, -2208080, -2760101?
-3312122
What is next in 6232, 49815, 168120, 398509, 778344, 1344987, 2135800, 3188145?
4539384
What is next in 477010, 954078, 1431150, 1908226, 2385306, 2862390?
3339478
What is next in -1039284, -2078560, -3117838, -4157118, -5196400, -6235684, -7274970?
-8314258
What comes next: 3258, 6094, 8930?
| {
"pile_set_name": "DM Mathematics"
} |
. What is the highest common factor of 1242 and o?
23
Let k(j) = -3*j + 40. Let d be k(11). Suppose -d*w + 134 = -377. Calculate the greatest common factor of 146 and w.
73
Let x = -8288 + 14904. What is the greatest common divisor of x and 8?
8
Let f = -25054 - -25103. What is the greatest common divisor of f and 2989?
49
Suppose -75*p + 38282 + 18850 = -6*p. What is the highest common divisor of p and 207?
207
Let p be (-1)/((-5)/(-6) + 1737/(-918) + 1). Calculate the highest common factor of 7939 and p.
17
Let x = 16979 - 5283. What is the highest common divisor of 32 and x?
16
Let m be (9828/(-10))/(-6)*5*(-6)/(-9). Calculate the greatest common divisor of m and 588.
42
Let s(c) = -54 - 126*c - 64 - 36. Let z be s(-3). What is the highest common factor of 48 and z?
16
Suppose -36*c - 51*c = -26*c - 135054. Calculate the greatest common divisor of 1558 and c.
82
Suppose -29236 + 273436 = -4*a. Let d be a/(-231) + (-2)/7. Calculate the highest common factor of d and 22.
22
Suppose 69*y + 21833 = 73*y + 3*h, 0 = 2*h - 6. What is the greatest common divisor of 352 and y?
176
Let k = 53274 + -35382. What is the greatest common divisor of 54 and k?
18
Suppose 0 = -3*z + 4*l + 120 + 942, 5*z + 3*l - 1741 = 0. What is the greatest common divisor of 1120 and z?
70
Suppose 5753 = 158*j + 2593. Let s be (-4)/(-14) + 243/7. What is the highest common factor of j and s?
5
Suppose 0 = 2*i - 1 + 95. Let r = i + 6. Let d = r - -61. What is the highest common divisor of 20 and d?
20
Let g be (-15)/(315/14)*(-108855)/10. Calculate the highest common divisor of 531 and g.
177
Suppose 3*r - f = 260, -r - 110*f = -106*f - 52. Let s(b) = 72*b. Let m be s(2). What is the greatest common divisor of m and r?
12
Let s = -603 + 967. Suppose 35*f = 7*f + s. What is the greatest common divisor of f and 182?
13
Let s(z) = 2*z - 17. Let o be s(11). Suppose 11*i - 8*i - 153 = o*f, -4*i = 4*f - 172. Calculate the highest common divisor of 414 and i.
46
Suppose -3*k + 2903 = 2*v, 4*v + k - 2517 = 3254. Calculate the greatest common divisor of 2 and v.
1
Let v = -119 - -117. Let r(p) = 24*p**2 + 4*p + 10. Let t be r(v). Calculate the highest common divisor of 49 and t.
49
Let g(d) = d**3 - 3*d**2 + 2*d - 6. Let r be g(4). Suppose 280*i - 337*i = -1368. What is the highest common divisor of i and r?
6
Suppose 0 = -j + 2*s + 13, 4*j - j - s - 19 = 0. Suppose w = -z + 98, j*z - 358 - 124 = -w. Calculate the greatest common divisor of 3 and z.
3
Suppose 44*a - 45*a = 26. Let w = -13 - a. Suppose 4 = -2*h + y + w, -3*h + 9 = -3*y. What is the greatest common divisor of 90 and h?
6
Let v be (-54)/(-63) - ((-243270)/(-70))/(-9). Calculate the greatest common factor of v and 9159.
129
Let i be 1249 - 11/((-209)/(-323)). Calculate the greatest common factor of i and 140.
28
Let d be (6/(-9))/(13/(-78)) - -67. Let f(b) = b**3 - 8*b**2 - 10*b + 10. Let v be f(9). Calculate the highest common factor of v and d.
1
Suppose -5*s - j = 3 - 7, -3*s - 2*j + 8 = 0. Let a be -8*(-3)/8 - (-39 + s). What is the greatest common factor of a and 42?
42
Let q be 10/(-45) - 1412/(-36). Suppose -20 = 34*h - q*h. Suppose -h*o + 209 = w, 2*w - o + 0*o = 454. What is the highest common divisor of 25 and w?
25
Suppose 2*x - 8 = -16, -3*x = 3*n - 9387. Calculate the greatest common factor of 208 and n.
13
Let m(i) = -634*i - 372. Let d be m(-14). Calculate the greatest common factor of d and 8.
8
Let r be (693/(-35) - -3)/(2/(-5)). Let m be (72/r)/((-4)/(-42)). Suppose 0 = 5*i - y - 92, -5*y - 6 = -2*y. What is the greatest common factor of i and m?
18
Suppose -4*b = o + 9 - 4, -4*b = -o - 5. Suppose -5*n + 123 = x, 2*x + 13*n - 12*n - 264 = b. Calculate the greatest common factor of 171 and x.
19
Suppose -2*k = 2*k - 152. Let a be ((-307)/(-3377))/(1*(-1)/(-418)). Calculate the highest common factor of a and k.
38
Suppose -33333 = 7664*j - 7669*j - 3*i, 5*i - 5 = 0. What is the highest common factor of j and 22?
22
Let k = 15222 + -13267. Calculate the highest common divisor of k and 5.
5
Let i(j) = j**2 - 5*j - 2. Let d be i(5). Let l = -637 - -649. Let y = l - d. What is the highest common divisor of 112 and y?
14
Suppose 635 = 7*r - 2*r + 5*w, 0 = -5*w - 10. Let y = r - 125. Suppose -2*c - c = 3*u - 63, u - 4*c + 4 = 0. What is the highest common factor of u and y?
4
Let u(m) = -2*m**3 - 84*m**2 + 55*m + 123. Let c be u(-44). What is the greatest common divisor of 13 and c?
13
Suppose 101*r - 99234 = 27*r. What is the highest common factor of 149 and r?
149
Let i = 3537 + -3449. Calculate the highest common divisor of i and 506.
22
Suppose 91 = 19*f - 4. Suppose 0 = -f*l - 2*t + 50, -l + 36 = 5*t + 3. Calculate the highest common factor of l and 10.
2
Suppose -3*y = -18, 6*m - 10*m - 3*y + 882 = 0. What is the highest common divisor of 189 and m?
27
Let r(a) = 6098*a + 42983. Let l be r(-7). Suppose -123 = -5*p - 4*b, 2*b - 126 = -5*p - b. What is the highest common divisor of p and l?
27
Suppose -26932 = -9*q - 16564. Calculate the greatest common divisor of 90 and q.
18
Let x be 43870/110 + (-10)/(-55). What is the greatest common divisor of 119 and x?
7
Let n = 1857670 - 1857656. Suppose -g - d = -3 - 0, -5*g = -3*d + 1. Let j be 70 - g - (0 - 1). What is the greatest common divisor of n and j?
14
Suppose -5*x + 0*x - 4*i = -1996, 4*i + 1204 = 3*x. Let j(o) = 5*o**2 - 4. Let c be j(2). Calculate the highest common factor of x and c.
16
Suppose -5*k + 564 = -2721. Let f(t) = 122*t + 1351. Let j be f(-11). Calculate the highest common divisor of j and k.
9
Let r be (-1689)/(-3) - (-19 - -31). Calculate the greatest common divisor of r and 608.
19
Let p = -23 + 23. Suppose -31*o + 25*o + 192 = p. Suppose 0 = 3*t - 2*t - 80. Calculate the highest common divisor of t and o.
16
Let x(b) = -b**3 + 4*b**2 + 31*b + 11. Let t be x(8). Let s be ((-6)/12)/(t/(-60)). What is the greatest common divisor of s and 4?
2
Let z = -920 - -606. Let k = -158 - z. Let o be -1 + k/2 + 4. Calculate the greatest common factor of 9 and o.
9
Suppose -21*k + 22*k + 4*d - 459 = 0, 0 = 2*k + 2*d - 918. Calculate the highest common divisor of 531 and k.
9
Suppose t - n = 37 - 14, 0 = -4*t + 3*n + 89. Let u be 5/t*1/(2/872). Suppose 6*j - 71 = u. What is the highest common divisor of 45 and j?
15
Suppose 0 = 4*w + q + 9, 1 = 2*q + 3. Let v be (((-120)/(-21))/w)/((-80)/280). Calculate the highest common factor of v and 45.
5
Suppose 19*z + 56 - 170 = 0. Suppose -2*t + 1800 = z*t. Calculate the greatest common divisor of 50 and t.
25
Let o(u) = -30*u**3 + 6*u**2 + 2*u - 2. Let l be o(-1). Suppose -4*i - 2*t + 2180 = -3*t, -4*t - 2736 = -5*i. What is the highest common factor of l and i?
32
Suppose 1406 = -85*x - 79*x + 12886. What is the highest common factor of x and 890?
10
Let x(c) = c**2 - 861*c - 8686. Let m be x(-10). Calculate the greatest common divisor of m and 4952.
8
Let x = 171 - 168. Let n(v) = v**3 - 3*v**2 + 2*v - 5. Let z be n(x). Calculate the highest common factor of 52 and z.
1
Let p = 12 - -76. Let n(v) = 3*v - 15. Let d(t) = 10*t - 45. Let o(w) = 2*d(w) - 7*n(w). Let z be o(7). Calculate the greatest common divisor of z and p.
8
Let o = -57 - -32. Let t = o + 38. Suppose 18*g = 547 + 389. What is the greatest common factor of t and g?
13
Suppose d + 8 = -d. Let g = 7 + d. Suppose 68 = 2*v - 4*q, 10 = -0*q - 2*q. Calculate the highest common divisor of v and g.
3
Suppose 4*r + 26 = 2*s, s + 5*r = 16 + 4. Let t = -322 + 325. Suppose p = -5*f - 5, 0*p = t*p - 4*f - 80. What is the highest common factor of s and p?
5
Let g = 1292 - 6801. Let k be g/(-9) + 2/(-18). Calculate the greatest common factor of 36 and k.
36
Suppose 0 = 91*a + 78*a + 24*a - 12352. Let q be 2397/15 + (-2)/(-10). What is the greatest common divisor of a and q?
32
Let s(f) be the first derivative of -3*f**2/2 + 39*f + 57. Let o be s(0). Calculate the highest common divisor of o and 3.
3
Let s = 5417 + -5389. Calculate the greatest common factor of s and 450.
2
Suppose h - 2*k - 64 = 0, 0 = -17*h + 14*h + 2*k + 164. What is the greatest common divisor of h and 2175?
25
Suppose 3*u + 2*i - 16709 = 4*i, u - 2*i - 5559 = 0. What is the greatest common divisor of u and 223?
223
Let y = -3829 - -5189. What is the greatest common divisor of 1105 a | {
"pile_set_name": "DM Mathematics"
} |
are the prime factors of 129027317?
179, 197, 3659
List the prime factors of 69230467.
71, 113, 8629
List the prime factors of 89691521.
89691521
What are the prime factors of 2283805077?
3, 761268359
List the prime factors of 593040499.
239, 2481341
What are the prime factors of 7596442569?
3, 2532147523
List the prime factors of 1867233640.
2, 5, 46680841
What are the prime factors of 136088017?
13, 10468309
What are the prime factors of 100584121?
11, 17, 537883
What are the prime factors of 662234776?
2, 7, 11825621
List the prime factors of 76678200.
2, 3, 5, 41, 1039
What are the prime factors of 40653302?
2, 29, 700919
What are the prime factors of 97006411?
5569, 17419
List the prime factors of 73287649.
1259, 58211
List the prime factors of 1383313014.
2, 3, 76850723
What are the prime factors of 1095948603?
3, 541, 75029
List the prime factors of 3094983787.
7, 442140541
What are the prime factors of 33839930?
2, 5, 83, 40771
What are the prime factors of 13947171?
3, 7, 664151
List the prime factors of 30581180.
2, 5, 7, 218437
What are the prime factors of 78241575?
3, 5, 1043221
What are the prime factors of 63809745?
3, 5, 313, 13591
What are the prime factors of 52730890?
2, 5, 19, 277531
What are the prime factors of 95396045?
5, 947, 20147
List the prime factors of 37915214.
2, 109, 173923
List the prime factors of 349957425.
3, 5, 101, 46199
What are the prime factors of 45812212?
2, 17, 397, 1697
What are the prime factors of 44028556?
2, 11, 13, 31, 191
What are the prime factors of 111742193?
111742193
What are the prime factors of 79771098?
2, 3, 11, 523, 2311
List the prime factors of 112851879.
3, 7, 173, 31063
List the prime factors of 1206669697.
1206669697
List the prime factors of 1331538672.
2, 3, 5237, 5297
What are the prime factors of 1520057413?
7, 661, 328519
What are the prime factors of 24822823?
107, 113, 2053
List the prime factors of 1234892135.
5, 157, 1573111
What are the prime factors of 224584607?
13, 311, 4273
What are the prime factors of 134593695?
3, 5, 107, 27953
What are the prime factors of 219770843?
337, 457, 1427
What are the prime factors of 50499009?
3, 11, 47, 10853
What are the prime factors of 2610886545?
3, 5, 58019701
What are the prime factors of 5040167520?
2, 3, 5, 29, 362081
What are the prime factors of 1351256599?
7, 11, 113, 155299
What are the prime factors of 3317217503?
67, 1223, 40483
List the prime factors of 207764388.
2, 3, 13, 443941
List the prime factors of 75911184.
2, 3, 527161
List the prime factors of 982564940.
2, 5, 7, 7018321
What are the prime factors of 4081982008?
2, 13, 131, 299617
What are the prime factors of 1755470635?
5, 31, 11325617
List the prime factors of 183801248.
2, 5743789
List the prime factors of 48409335.
3, 5, 13, 83, 997
List the prime factors of 76735403.
76735403
What are the prime factors of 28609605?
3, 5, 47, 167
List the prime factors of 2582875298.
2, 23, 31, 61, 1291
List the prime factors of 88598811.
3, 7, 602713
What are the prime factors of 212115876?
2, 3, 7, 2525189
List the prime factors of 928232541.
3, 79, 48353
What are the prime factors of 1512019606?
2, 31, 103, 236771
List the prime factors of 681198180.
2, 3, 5, 13, 873331
List the prime factors of 983890963.
11, 17, 173, 1789
What are the prime factors of 1156536526?
2, 59, 9801157
What are the prime factors of 512864288?
2, 16027009
List the prime factors of 137299225.
5, 7, 17, 19, 347
What are the prime factors of 240557108?
2, 11, 5467207
List the prime factors of 81002349.
3, 31, 10753
What are the prime factors of 360816290?
2, 5, 5701, 6329
List the prime factors of 532181660.
2, 5, 26609083
List the prime factors of 77539586.
2, 38769793
List the prime factors of 11856915.
3, 5, 7, 12547
What are the prime factors of 148222733?
421, 352073
What are the prime factors of 202064?
2, 73, 173
What are the prime factors of 264652496?
2, 991, 16691
List the prime factors of 56104877.
56104877
What are the prime factors of 237982267?
9551, 24917
List the prime factors of 518187910.
2, 5, 2083, 24877
What are the prime factors of 21929235?
3, 5, 17, 23, 3739
What are the prime factors of 623479561?
23, 27107807
What are the prime factors of 275802351?
3, 11, 67, 79, 1579
List the prime factors of 264979551.
3, 103, 857539
List the prime factors of 45150690.
2, 3, 5, 13, 115771
What are the prime factors of 3355910235?
3, 5, 643, 115981
List the prime factors of 395733514.
2, 11, 17, 47, 479
List the prime factors of 4457055398.
2, 173, 12881663
What are the prime factors of 26448512?
2, 127, 1627
List the prime factors of 37610655.
3, 5, 53, 47309
What are the prime factors of 1008030805?
5, 201606161
What are the prime factors of 14632548?
2, 3, 7, 174197
List the prime factors of 155667647.
31, 5021537
List the prime factors of 579140905.
5, 7, 16546883
List the prime factors of 4211762142.
2, 3, 7, 6053, 16567
What are the prime factors of 4948051192?
2, 7, 88358057
List the prime factors of 1985902775.
5, 79436111
List the prime factors of 1960580416.
2, 181, 169249
What are the prime factors of 36388826?
2, 18194413
List the prime factors of 1820054129.
67, 83, 327289
List the prime factors of 135552582.
2, 3, 11, 228203
What are the prime factors of 1192005453?
3, 61, 6513691
What are the prime factors of 1647379310?
2, 5, 164737931
What are the prime factors of 930232896?
2, 3, 797, 6079
What are the prime factors of 2722697691?
3, 7, 457, 40529
What are the prime factors of 254266494?
2, 3, 42377749
List the prime factors of 33434121.
3, 7, 17, 787
What are the prime factors of 367191115?
5, 73438223
List the prime factors of 84198071.
103, 817457
List the prime factors of 719911437.
3, 7, 79, 433943
List the prime factors of 343010597.
191, 1795867
List the prime factors of 22458346.
2, 11229173
List the prime factors of 881162830.
2, 5, 127, 693829
What are the prime factors of 669152264?
2, 11, 29, 197
List the prime factors of 3710467235.
5, 742093447
What are the prime factors of 301672706?
2, 1103, 136751
List the prime factors of 3096207995.
5, 6263, 98873
List the prime factors of 4215269300.
2, 5, 11, 631, 6073
What are the prime factors of 925984589?
19, 409, 119159
What are the prime factors of 101568945?
3, 5, 6771263
What are the prime factors of 305562661?
305562661
List the prime factors of 337133395.
5, 2053, 32843
List the prime factors of 207313251.
3, 5741, 12037
List the prime factors of 10284561.
3, 7, 23321
What are the prime factors of 1837512379?
1837512379
What are the prime factors of 338983113?
3, 7, 163, 167, 593
List the prime factors of 26408552.
2, 113, 131, 223
What are the prime factors of 68060837?
13, 271, 19319
List the prime factors of 2455453513.
487, 5041999
What are the prime factors of 261862684?
2, 5647, 11593
What are the prime factors of 6106065928?
2, 763258241
What are the prime factors of 228542640?
2, 3, 5, 19, 50119
What are the prime factors of 2159466196?
2, 983, 549203
What are the prime factors of 1953009043?
1953009043
What are the prime factors of 148428224?
2, 7, 17, 19489
What are the prime factors of 4535345612?
2, 7, 17, 29, 101, 3253
List the prime factors of 211701930.
2, 3, 5, 11, 641521
What are the prime factors of 481920154?
2, 240960077
List the prime factors of 65134217.
107, 113, 5387
List the prime factors of 120958735.
5, 37, 653831
List the prime factors of 90003558.
2, 3, 43, 348851
List the prime factors of 352481026.
2, 17, 23, 643, 701
List the prime factors of 1309808179.
163, 317, 25349
List the prime factors of 44374494.
2, 3, 7395749
What are the prime factors of 805269392?
2, 31, 239, 6793
List the prime factors of 437129362.
2, 1217, 179593
List the prime factors of 2960843674.
2, 37, 40011401
List the prime factors of 2142021282.
2, 3, 357003547
List the prime factors of 6695219.
6695219
List the prime factors of 56832194.
2, 107, 265571
What are the prime factors of 2589471046?
2, 1229, 1053487
What are the prime factors of 109866115?
5, 21973223
List the prime factors of 45796220.
2, 5, 23, 29, 3433
List the prime factors of 85460989.
17, 5027117
List the prime factors of 226132398.
2, 3, 465293
What are the prime factors of 52251994?
2, 421, 62057
List the prime factors o | {
"pile_set_name": "DM Mathematics"
} |
?
r**3 + 171*r + 52
What is the a'th term of 81837, 163675, 245513?
81838*a - 1
What is the r'th term of -3449, -3439, -3421, -3395, -3361, -3319?
4*r**2 - 2*r - 3451
What is the s'th term of -1353, -1362, -1375, -1392?
-2*s**2 - 3*s - 1348
What is the y'th term of -50, -181, -388, -671, -1030, -1465, -1976?
-38*y**2 - 17*y + 5
What is the b'th term of 761, 1529, 2307, 3089, 3869?
-b**3 + 11*b**2 + 742*b + 9
What is the b'th term of -2600, -2599, -2598, -2597, -2596, -2595?
b - 2601
What is the l'th term of -570, -1164, -1774, -2400, -3042?
-8*l**2 - 570*l + 8
What is the v'th term of -542, -963, -1384, -1805, -2226?
-421*v - 121
What is the t'th term of 1372, 1403, 1432, 1459?
-t**2 + 34*t + 1339
What is the n'th term of 52943, 52962, 52993, 53036?
6*n**2 + n + 52936
What is the h'th term of 4615, 4546, 4477, 4408, 4339?
-69*h + 4684
What is the s'th term of 429, 433, 439, 447, 457, 469, 483?
s**2 + s + 427
What is the f'th term of 4784, 9567, 14362, 19175, 24012, 28879?
f**3 + 4776*f + 7
What is the n'th term of 685, 661, 637?
-24*n + 709
What is the j'th term of 238, 483, 728, 973, 1218?
245*j - 7
What is the h'th term of -256, -380, -582, -862, -1220?
-39*h**2 - 7*h - 210
What is the p'th term of -11281, -11260, -11239?
21*p - 11302
What is the j'th term of -71, -154, -255, -368, -487?
j**3 - 15*j**2 - 45*j - 12
What is the m'th term of 5285, 10586, 15887?
5301*m - 16
What is the q'th term of -1013, -2065, -3121, -4181?
-2*q**2 - 1046*q + 35
What is the u'th term of 76, 537, 1778, 4189, 8160, 14081, 22342?
65*u**3 + 6*u + 5
What is the h'th term of 154, 339, 620, 1003, 1494, 2099, 2824, 3675?
h**3 + 42*h**2 + 52*h + 59
What is the a'th term of 2624, 5269, 7932, 10613, 13312, 16029?
9*a**2 + 2618*a - 3
What is the y'th term of -907, -1546, -2185, -2824, -3463?
-639*y - 268
What is the i'th term of 31, 139, 337, 637, 1051, 1591?
2*i**3 + 33*i**2 - 5*i + 1
What is the s'th term of 7782, 7897, 8012, 8127?
115*s + 7667
What is the p'th term of 1032, 1129, 1238, 1365, 1516, 1697?
p**3 + 90*p + 941
What is the c'th term of -2255, -2262, -2269, -2276?
-7*c - 2248
What is the h'th term of -3922, -3982, -4042, -4102, -4162?
-60*h - 3862
What is the f'th term of -309, -327, -355, -399, -465, -559, -687?
-f**3 + f**2 - 14*f - 295
What is the d'th term of -68894, -68890, -68884, -68876, -68866, -68854, -68840?
d**2 + d - 68896
What is the t'th term of 760, 1068, 928, 340, -696?
-224*t**2 + 980*t + 4
What is the d'th term of -142, -720, -2142, -4828, -9198?
-70*d**3 - 2*d**2 - 82*d + 12
What is the i'th term of -170311, -170294, -170277, -170260, -170243, -170226?
17*i - 170328
What is the z'th term of -72, -426, -1372, -3204, -6216?
-49*z**3 - 2*z**2 - 5*z - 16
What is the f'th term of 854644, 854646, 854648?
2*f + 854642
What is the m'th term of -70252, -70251, -70250, -70249, -70248, -70247?
m - 70253
What is the o'th term of -552671, -1105343, -1658015?
-552672*o + 1
What is the l'th term of 242, 458, 650, 806, 914, 962, 938, 830?
-2*l**3 + 230*l + 14
What is the k'th term of 1538, 3135, 4732, 6329?
1597*k - 59
What is the z'th term of 2754, 2786, 2814, 2838, 2858?
-2*z**2 + 38*z + 2718
What is the k'th term of -6153, -24598, -55335, -98358, -153661, -221238?
k**3 - 6152*k**2 + 4*k - 6
What is the f'th term of -1984, -3954, -5924, -7894, -9864, -11834?
-1970*f - 14
What is the v'th term of 913, 3667, 8267, 14719, 23029, 33203?
v**3 + 917*v**2 - 4*v - 1
What is the o'th term of 261, 456, 573, 612, 573, 456, 261?
-39*o**2 + 312*o - 12
What is the h'th term of -23357, -23545, -23733, -23921, -24109, -24297?
-188*h - 23169
What is the g'th term of 14, 105, 230, 389, 582?
17*g**2 + 40*g - 43
What is the z'th term of 47, 241, 577, 1055?
71*z**2 - 19*z - 5
What is the h'th term of 239, 821, 1745, 2975, 4475, 6209, 8141, 10235?
-6*h**3 + 207*h**2 + 3*h + 35
What is the k'th term of -88, -422, -978, -1756, -2756, -3978?
-111*k**2 - k + 24
What is the q'th term of 59, 46, 33, 20, 7?
-13*q + 72
What is the m'th term of -353880, -707759, -1061640, -1415523, -1769408, -2123295?
-m**2 - 353876*m - 3
What is the b'th term of -234, -625, -1178, -1893, -2770?
-81*b**2 - 148*b - 5
What is the c'th term of 30837, 30843, 30849, 30855?
6*c + 30831
What is the a'th term of -277308, -554626, -831944, -1109262, -1386580, -1663898?
-277318*a + 10
What is the q'th term of 3018746, 3018745, 3018744, 3018743, 3018742, 3018741?
-q + 3018747
What is the x'th term of -23219, -23209, -23185, -23141, -23071, -22969, -22829, -22645?
x**3 + x**2 - 23221
What is the o'th term of 38, 143, 300, 497, 722, 963?
-2*o**3 + 38*o**2 + 5*o - 3
What is the z'th term of 32781, 65568, 98355, 131142?
32787*z - 6
What is the t'th term of -11905, -11894, -11897, -11920, -11969?
-t**3 - t**2 + 21*t - 11924
What is the k'th term of 310, 482, 654, 826, 998, 1170?
172*k + 138
What is the y'th term of 20907, 20911, 20915, 20919, 20923?
4*y + 20903
What is the m'th term of -2016, -2010, -2004, -1998, -1992?
6*m - 2022
What is the s'th term of 22926, 45860, 68804, 91758?
5*s**2 + 22919*s + 2
What is the r'th term of -106, -400, -892, -1582, -2470?
-99*r**2 + 3*r - 10
What is the h'th term of 11827899, 11827898, 11827897, 11827896, 11827895, 11827894?
-h + 11827900
What is the g'th term of -293, -586, -879, -1172, -1465, -1758?
-293*g
What is the m'th term of 44317, 44310, 44303, 44296?
-7*m + 44324
What is the m'th term of 1588, 6361, 14320, 25465?
1593*m**2 - 6*m + 1
What is the w'th term of 1638, 6444, 14468, 25722, 40218, 57968, 78984, 103278?
2*w**3 + 1597*w**2 + w + 38
What is the n'th term of 81899, 81897, 81895?
-2*n + 81901
What is the p'th term of -133, -112, -61, 32, 179, 392, 683, 1064?
2*p**3 + 3*p**2 - 2*p - 136
What is the a'th term of 3603, 7371, 11147, 14937, 18747, 22583, 26451, 30357?
a**3 - 2*a**2 + 3767*a - 163
What is the v'th term of 93207, 93208, 93209, 93210?
v + 93206
What is the p'th term of 30, 83, 152, 237?
8*p**2 + 29*p - 7
What is the t'th term of 7069718, 7069716, 7069714, 7069712, 7069710?
-2*t + 7069720
What is the y'th term of -42707, -42614, -42511, -42392, -42251, -42082, -41879, -41636?
y**3 - y**2 + 89*y - 42796
What is the z'th term of 51, 231, 701, 1605, 3087?
24*z**3 + z**2 + 9*z + 17
What is the j'th term of -63, -28, 41, 150, 305, 512?
j**3 + 11*j**2 - 5*j - 70
What is the q'th term of 382, 384, 386, 388?
2*q + 380
What is the t'th term of -23917, -23927, -23951, -23995, -24065?
-t**3 - t**2 - 23915
What is the z'th term of 11944, 23827, 35706, 47581, 59452, 71319, 83182?
-2*z**2 + 11889*z + 57
What is the n'th term of 3, -8, -23, -42?
-2*n**2 - 5*n + 10
What is the c'th term of -662, -489, -316, -143?
173*c - 835
What is the p'th term of 21, -6, -111, -336, -723?
-7*p**3 + 3*p**2 + 13*p + 12
What is the d'th term of 129, 284, 467, 690, 965, 1304, 1719, 2222?
2*d**3 + 2*d**2 + 135*d - 10
What is the n'th term of 219836, 219828, 219814, 219794, 219768, 219736, 219698?
-3*n**2 + n + 219838
What is the s'th term of -518922, -518927, -518932, -518937?
-5*s - 518917
What is the d'th term of 20034, 20114, 20194?
80*d + 19954
What is the q'th term of 1248107, 1248104, 1248099, 1248092, 1248083, 1248072?
-q**2 + 1248108
What is the i'th term of -1496, -1477, -1444, -1397, -1336, -1261, -1172?
7*i**2 - 2*i - 1501
What is the q'th term of 77498, 154995, 232490, 309983, 387474, 464963?
-q**2 + 77500*q - 1
What is the l'th term of 134658, 269304, 403950?
134646*l + 12
What is the j'th term of 849, 1761, 2675, 3591, 4509?
j**2 + 909*j - 61
What is the n'th term of -2411, -4760, -7101, -9428, -11735?
n**3 - 2*n**2 - 2350*n - 60
What is the y'th term of -720, -1519, -2860, -4749, -7192, -10195?
-y**3 - 265*y**2 + 3*y - 457
What is the t'th term of 2022, 8038, 18046, 32046, 50038?
1996*t**2 + 28*t - 2
What is the s'th term of 36, 45, 78, 153, 288, 501, 810?
3*s**3 - 6*s**2 + 6*s + 33
What is the v'th term of 173712, 347411, 521094, 694755, 868388?
-v**3 - 2*v**2 + 173712*v + 3
What is the f'th term of -412, -1325, -2238, -3151?
-913*f + 501
What is the y'th term of 1658, 1881, 2066, 2195, 2250, 2213?
-3*y**3 - y**2 + 247*y + 1415
What is the k'th term of -16590, -66276, -149080, -264996, -414018, -596140, -811356, -1059660?
k**3 - 16565*k**2 + 2*k - 28
What is the x'th term | {
"pile_set_name": "DM Mathematics"
} |
igit of x?
9
Suppose 8*x = 5*x + 30. Let v = -9 + x. What is the units digit of (2 - 1)*v - -1?
2
Suppose -2*x - 2*z = -0*x - 2452, 3*z = x - 1246. What is the tens digit of x?
3
Let x = 1 - 0. Suppose -38 = -6*v - 56. What is the units digit of (v + 2)*(-23)/x?
3
Suppose 2*u + 3*l - 2318 = 0, 4*u + 34*l = 33*l + 4636. What is the thousands digit of u?
1
Let q(v) = 4 + 5*v**3 + 6*v - 21*v**3 - 8*v**2 + 15*v**3. Let u = -3 - 6. What is the tens digit of q(u)?
3
Suppose -30*y + 84569 = -20161. What is the thousands digit of y?
3
Let x be 6/(-4) + 27/18. Suppose x = 4*h + 16. What is the units digit of ((-6)/h)/((-3)/(-54))?
7
What is the thousands digit of (1199 - 1)/(35/70)?
2
Let z = -494 - -911. What is the tens digit of z?
1
Let c(t) = 4*t**3 - 26*t**2 - 15*t - 6. What is the tens digit of c(8)?
5
Let f be (-22)/(1*(-4 - -2)). Let t = f + -22. Let x = t + 39. What is the units digit of x?
8
Let l be 6/(-14) + (-34)/(-14). Suppose -103 - 397 = l*p. What is the units digit of 16/(-10)*p/20?
0
Let u = -24 + 126. What is the units digit of u?
2
Let u(n) = -5*n + 13. Let o(y) = -y. Let c(z) = -6*o(z) + u(z). Let j be c(6). What is the tens digit of 3*(-1 + j)/3?
1
Suppose 0 = -m - 3*u + 11, 3*m + 2*u + 3 - 15 = 0. Suppose 5*j = 3*r + 84, 5*j = -m*r - 3*r + 60. What is the units digit of j?
5
Suppose -4*s - 4*s + 4696 = 0. What is the units digit of s/6 - 5/(-30)?
8
Let b(l) = -l**2 - 12*l - 18. Let d be b(-8). Let o(n) = -n**3 + 16*n**2 - 24*n - 20. What is the tens digit of o(d)?
3
Let g be 19*2*(-1 + (-7)/2). What is the tens digit of g/76*296/(-3)?
2
Suppose 4*o + 0*o + 316 = 0. Let c = o - -124. Suppose -c = -3*y + 6. What is the units digit of y?
7
Let j(f) = -11*f + 512. What is the tens digit of j(-34)?
8
Let x(u) be the first derivative of -u**2/2 + 5*u - 5. Let j be x(3). What is the units digit of (-7)/(-7) - (j + -38)?
7
Let r(x) = -x**3 - 7*x**2 + 13. What is the hundreds digit of r(-10)?
3
Let s(f) = f**3 + 7*f**2 + 4*f - 2. Let v be s(-6). Let y be 190/(-25) - 4/v. Let q = -2 - y. What is the units digit of q?
6
Let s(v) = 107*v + 125. What is the thousands digit of s(14)?
1
Suppose -400 = 5*h - 4*p - 1255, -4*h = -p - 695. What is the tens digit of h?
7
Let q = -433 + 740. Suppose -q - 333 = -4*n. Suppose 8*r = 13*r - n. What is the tens digit of r?
3
Let z be (-44)/(-20) + -3 - 18996/(-20). Suppose 0 = j - 4 + 5. What is the tens digit of (z/26)/(j/(-2))?
7
Let x(a) = -a**3 - 4*a**2 + 39*a + 8. What is the units digit of x(-12)?
2
What is the units digit of -1*(-4)/((-24)/(-66))?
1
Let r = 170 - -657. What is the hundreds digit of r?
8
What is the hundreds digit of -3 + 64/20 - 364176/(-120)?
0
Suppose -2*j - 3*r + 17 = -48, -43 = -j - 5*r. What is the units digit of j?
8
Let c = -1500 + 2386. What is the hundreds digit of c?
8
What is the hundreds digit of 12/((10/(-39))/(-5))?
2
Let c = 2679 + -1434. What is the tens digit of c?
4
Suppose 0 = 2*w - 21 + 9. What is the units digit of (w - 0)*282/18?
4
Suppose -2*y + 3745 = 5*y. What is the tens digit of y?
3
Suppose 7 = 2*l + 1. Suppose 672 = l*x + 4*c - 2*c, -4*x + 900 = 4*c. Suppose x = 5*s + s. What is the units digit of s?
7
Let o(r) = 2*r + 12. Let k be o(3). Suppose -k*l + 6*l + 2496 = 0. What is the tens digit of l?
0
Let s = -39 + -138. What is the units digit of (-8 + 6)/(6/s)?
9
Let s = 199 - -143. What is the hundreds digit of s?
3
What is the tens digit of (-86534)/147*(-2 + (-3)/(-6))?
8
Let k be 524/(3/(-6)*4). Let v = k + 387. What is the tens digit of v?
2
Let m(i) = -i**2 + 10*i - 11. Let v be m(8). Suppose 2*x - 31 = v. What is the units digit of x?
8
Let m(y) be the third derivative of y**5/60 - y**4/24 - 2*y**3 - 7*y**2. Let n be m(5). Suppose -n*v + 3*v = -170. What is the units digit of v?
4
Suppose 6*s - 104 = 4*s. Suppose -2*a = -3*w + s, -3*w - 2*a + 0*a = -68. What is the tens digit of w?
2
Let o(c) = 29*c**2 + 35*c**2 - 3*c**2 - 1. Let w be o(1). Suppose 2*v = j + 24, -4*v - v + 4*j + w = 0. What is the units digit of v?
2
Let k = 33 - 29. Suppose -k*i + 24 + 44 = 0. What is the units digit of i?
7
Suppose 50*b = 49*b + 10. Suppose b*y = -233 + 2323. What is the hundreds digit of y?
2
Let l be 2/7 + (-288)/126. What is the tens digit of 19 - ((l - 2) + 8)?
1
Let y(i) = i**3 + 10*i**2 - 13*i - 15. Suppose s + 3*s = -4*w + 176, 132 = 3*s - 4*w. Suppose g - s = 5*g. What is the units digit of y(g)?
7
Let y(k) = k**3 + 34*k**2 + 115*k - 2. What is the thousands digit of y(-25)?
2
Let n(u) = -4*u - u**3 - 4*u + 17 - 10 - 3*u - 11*u**2. What is the units digit of n(-10)?
7
Suppose 0 = 4*o - o. Suppose o - 4 = -d. What is the units digit of 163/7 - d/14?
3
Let p = 20 + 175. What is the hundreds digit of p?
1
Suppose -3*a + 456 = -9*j + 10*j, -5*a = -15. What is the units digit of j?
7
Let o be (-2)/(-10) - -3*(-801)/15. Let l = o - -354. What is the units digit of l?
4
Let w be (-2)/(-8) + 19/4. Suppose -v + 21 = 6*v. Suppose -v*t - 6 + 161 = 4*h, t = w*h - 189. What is the units digit of h?
8
Let u = -48 + 34. Suppose 3*x - w = 1, 4*w + 18 = 4*x + 6*w. What is the tens digit of u/((-2)/(x + 0))?
1
Let k = 1408 - 944. Suppose -2*l - k = -4*l. Suppose 0 = -5*r + l + 13. What is the units digit of r?
9
Let w(t) = -t**3 + 17*t**2 + 15*t - 22. What is the tens digit of w(17)?
3
Let v = 151 + 801. What is the units digit of v?
2
Suppose -4*a = 0, 8*s = 12*s - 3*a - 808. What is the tens digit of s?
0
Suppose 10*m - 18378 = 4912. What is the thousands digit of m?
2
Let h(p) = 1 + 5 - 34*p**2 + 37*p**2 + p. What is the tens digit of h(-3)?
3
Suppose -3*i + 16*i = 7332. What is the hundreds digit of i?
5
Let j(y) = y**3 + 9*y**2 + 7*y + 9. Suppose 0 = -4*d + r + 12, 0 = -2*d - 2*d - 4*r - 8. Suppose d*c = -4, -c - 23 = 3*m - 0. What is the units digit of j(m)?
8
Let q(z) be the second derivative of -z**5/20 + z**4/2 - 5*z**3/6 + 3*z**2/2 - 6*z. Let d be q(5). Suppose 0 = -m - d*m + 48. What is the tens digit of m?
1
Let h = 29 + -12. Let m = h - -4. Let z = m - 1. What is the tens digit of z?
2
Suppose 2*u + o = 1092, 95 + 462 = u - 5*o. What is the hundreds digit of u?
5
Let s be (0 - 1) + (-1 - 13). Suppose 0 = 3*c - h - 57, c + 6 = 2*c + 4*h. Let x = s + c. What is the units digit of x?
3
Let d(g) = -49*g**3 + 1. Let q be (-1 + -13)/((-6)/(-3)). Let i = q - -6. What is the units digit of d(i)?
0
Suppose 5 = 5*v, -2*v - 343 = b - 4*b. Suppose b = -4*s + 547. What is the tens digit of s?
0
Let s(f) be the second derivative of f**7/1260 - f**6/360 - f**4/3 - 6*f. Let o(g) be the third derivative of s(g). What is the tens digit of o(3)?
1
Suppose 0 = 4*x + 3*v + 15, -2*x - 10 = 2*v - 0. Suppose x = 3*h + h. Suppose f - t - 36 = h, 0 = 4*f - f - 4*t - 108. What is the units digit of f?
6
Let i(g) = -g - 15. Let t be i(-18). Suppose -o - t = -32. What is the tens digit of o?
2
Suppose -4*b = 6*l - 2*l - 1068, -4*l + 3*b = -1033. What is the tens digit of l?
6
Suppose -475 = -16*c + 11*c. Suppose -5*l - 2*r + c = 3*r, 14 = l + 2*r. What is the units digit of l?
4
Let p = -437 + 514. What is the tens digit of p?
7
Let j = -302 + 921. What is the tens digit of j?
1
Let u(z) be the first derivative of z**6/360 + z**5/120 - z**4/4 - 4*z**3 + 5. Let w(t) be the third derivative of u(t). What is the units digit of w(-4)?
6
Let q = 29 - 24. Suppose 2*p + 8 = 0, 2*n + q*p - 241 = -n. What is the tens digit of n?
8
Let s(g) = 1029*g**2 + g - 8. What is the units digit of s(-2)?
6
Suppose 0 = -4*z + 5*w + 26, -4*z - 6*w + w = -6. Let q(d) = d**2 - 2*d + 3. What is the tens digit of q(z)?
1
What is the hundreds digit of (0 - 0) + -22 + 2021?
9
Let l = 574 + 7. Suppose 3*f = -4*r - 75 + 531, -f = 5*r - l. What is the tens digit of r?
1
Suppose 2*c + 3*c = -4*l + 16, -16 = -4*l + c. Suppose 0 = 2*z - 4*d + 30, -l*d - d + 95 = -5*z. Let k = -12 - z. What is the units digit of k?
1
Let g be (4/(-12))/(2/(-18)). Suppose c - 224 = 2*l + 3*c, -g*l - 4*c = 334. What is the tens digit of 7/35 - l/5?
2
Let n(r) = r**3 - 34*r**2 + r + 126. What is the units digit of n(34)?
0
Suppose -3*d = 15, 3*o + d = 2*d + 1601. What is the tens digit of o?
3
Suppose 0 + 12 = -3*x. What is the units digit of -2 + (-3 - (x - 5))?
4
Suppose y + 3*s - 93 = 0, 0*y + y - 4*s = 72. Suppose r = y - 19. What i | {
"pile_set_name": "DM Mathematics"
} |
i?
14/323
Four letters picked without replacement from {l: 1, h: 1, b: 2, m: 1}. What is prob of picking 2 b, 1 m, and 1 h?
1/5
Two letters picked without replacement from axaxx. What is prob of picking 2 x?
3/10
Two letters picked without replacement from {k: 2, r: 1, m: 5, l: 2, c: 4}. What is prob of picking 2 l?
1/91
Calculate prob of picking 2 y when two letters picked without replacement from hhyyhhy.
1/7
Two letters picked without replacement from {d: 1, v: 1, l: 3}. What is prob of picking 1 v and 1 d?
1/10
Four letters picked without replacement from qvvqqcqcv. What is prob of picking 2 v and 2 q?
1/7
Calculate prob of picking 1 f and 1 e when two letters picked without replacement from efdddddfeee.
8/55
What is prob of picking 2 g when two letters picked without replacement from {d: 1, g: 12}?
11/13
What is prob of picking 3 r when three letters picked without replacement from wmmmrmzzmsrzzs?
0
Three letters picked without replacement from gefifuuefefwffg. Give prob of picking 1 g and 2 u.
2/455
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {o: 2, h: 1, e: 6, d: 1, q: 5}.
1/21
Calculate prob of picking 1 t, 1 l, and 1 k when three letters picked without replacement from kllkktkkktttktt.
12/65
Three letters picked without replacement from {g: 12, y: 6}. What is prob of picking 3 g?
55/204
Four letters picked without replacement from {d: 7, u: 4}. Give prob of picking 4 u.
1/330
What is prob of picking 2 c when two letters picked without replacement from {c: 9}?
1
Two letters picked without replacement from {b: 4, o: 7, d: 1, p: 1, z: 2}. What is prob of picking 1 b and 1 o?
4/15
What is prob of picking 3 c and 1 g when four letters picked without replacement from {g: 10, c: 9}?
70/323
Two letters picked without replacement from uuppepppnpupnpenpp. What is prob of picking 1 p and 1 e?
20/153
What is prob of picking 2 h and 2 z when four letters picked without replacement from {n: 8, z: 5, m: 1, h: 5}?
25/969
What is prob of picking 1 r and 1 u when two letters picked without replacement from {u: 2, r: 4}?
8/15
Two letters picked without replacement from tbpty. Give prob of picking 1 p and 1 b.
1/10
Three letters picked without replacement from nnnchcnnnnnnnhc. What is prob of picking 3 n?
24/91
Two letters picked without replacement from {x: 4, c: 2, o: 1, a: 1}. Give prob of picking 1 x and 1 o.
1/7
Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xbxbxkmbqxm.
12/55
Three letters picked without replacement from {l: 6, y: 5, x: 2, w: 3, z: 2}. Give prob of picking 1 z and 2 w.
1/136
Three letters picked without replacement from gpggpgt. What is prob of picking 1 t and 2 p?
1/35
Two letters picked without replacement from tttttttxttttttttttt. What is prob of picking 2 t?
17/19
What is prob of picking 2 g and 1 k when three letters picked without replacement from kkkkgkggkg?
3/10
Two letters picked without replacement from {x: 1, j: 2, s: 1, n: 1, m: 1, e: 1}. Give prob of picking 1 j and 1 e.
2/21
What is prob of picking 1 u and 1 l when two letters picked without replacement from uqutuuluuwuuuulutu?
8/51
Two letters picked without replacement from {o: 3, x: 2, v: 1, l: 1}. What is prob of picking 2 o?
1/7
Three letters picked without replacement from ciiiwuuwinw. What is prob of picking 2 i and 1 n?
2/55
Two letters picked without replacement from nnqwqnwnqwwn. Give prob of picking 2 n.
5/33
Three letters picked without replacement from myyymnlmny. What is prob of picking 1 l and 2 m?
1/40
Three letters picked without replacement from aaaalaaaaaaaaaaaaa. Give prob of picking 2 a and 1 l.
1/6
Calculate prob of picking 1 f and 1 i when two letters picked without replacement from ifiooiiuoifuiiu.
2/15
Two letters picked without replacement from lbbgl. What is prob of picking 1 g and 1 l?
1/5
Four letters picked without replacement from traururrt. Give prob of picking 2 r and 2 t.
1/21
What is prob of picking 1 r, 1 v, and 1 w when three letters picked without replacement from rwcwffvwrqrww?
15/286
Three letters picked without replacement from {m: 5, z: 13, r: 2}. What is prob of picking 1 z, 1 r, and 1 m?
13/114
Calculate prob of picking 1 c and 1 n when two letters picked without replacement from nciciicniiicccccc.
9/68
Calculate prob of picking 1 k, 1 a, and 1 f when three letters picked without replacement from nkckanafnfnknan.
18/455
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 4, f: 2, a: 8, s: 1}.
8/105
Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {s: 2, f: 4}.
1/5
Calculate prob of picking 3 m when three letters picked without replacement from {m: 10}.
1
Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {r: 2, v: 1, k: 1, c: 2, u: 1}.
1/35
Calculate prob of picking 2 l and 2 n when four letters picked without replacement from llllnlllln.
2/15
Calculate prob of picking 1 b, 1 g, and 1 j when three letters picked without replacement from bxrfrrffgbj.
2/165
Three letters picked without replacement from wbwbbbw. What is prob of picking 3 w?
1/35
Two letters picked without replacement from wioixxixoiw. What is prob of picking 2 o?
1/55
What is prob of picking 1 u and 1 o when two letters picked without replacement from {y: 1, u: 1, f: 1, o: 2, v: 2, g: 2}?
1/18
Two letters picked without replacement from kqvkqvkvv. What is prob of picking 1 v and 1 q?
2/9
Three letters picked without replacement from bbbvvb. What is prob of picking 3 b?
1/5
Two letters picked without replacement from {d: 1, j: 1, r: 1, w: 11, e: 2}. What is prob of picking 1 e and 1 j?
1/60
Four letters picked without replacement from aaaaaaa. What is prob of picking 4 a?
1
Three letters picked without replacement from {k: 9, a: 4, v: 6}. Give prob of picking 3 v.
20/969
Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 2, v: 8, i: 2, r: 6}.
4/51
What is prob of picking 2 a, 1 v, and 1 x when four letters picked without replacement from vwaxaxvhhhhx?
2/165
Calculate prob of picking 4 i when four letters picked without replacement from {q: 2, r: 2, i: 7}.
7/66
Three letters picked without replacement from {m: 1, w: 1, e: 1, i: 2, r: 1, q: 1}. Give prob of picking 1 e, 1 w, and 1 m.
1/35
Two letters picked without replacement from {c: 14, k: 5, y: 1}. Give prob of picking 1 y and 1 k.
1/38
What is prob of picking 2 t and 1 q when three letters picked without replacement from tpttqttttptttt?
55/364
Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {t: 5, v: 5, r: 3, k: 5, c: 2}.
3/38
What is prob of picking 2 b when two letters picked without replacement from ixxxbbiooxoobbssxssx?
3/95
Two letters picked without replacement from jejeejeekkeje. What is prob of picking 1 e and 1 j?
14/39
What is prob of picking 3 x and 1 s when four letters picked without replacement from {s: 1, x: 4, a: 6}?
2/165
What is prob of picking 2 v when two letters picked without replacement from {j: 5, v: 2}?
1/21
Three letters picked without replacement from {e: 4, c: 10, d: 5}. What is prob of picking 1 c, 1 e, and 1 d?
200/969
Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {w: 2, i: 3, f: 2, n: 6}.
2/39
Two letters picked without replacement from ohhoxshhhhs. What is prob of picking 2 s?
1/55
Two letters picked without replacement from ttttxtxtxxttttxttxx. What is prob of picking 2 t?
22/57
Two letters picked without replacement from jjtttjjjjtujtt. What is prob of picking 1 t and 1 u?
6/91
What is prob of picking 2 o and 1 h when three letters picked without replacement from oooohhohoooooooooho?
140/323
Calculate prob of picking 2 y and 2 l when four letters picked without replacement from {y: 5, l: 2}.
2/7
Calculate prob of picking 1 l, 1 k, and 1 v when three letters picked without replacement from {k: 4, v: 1, l: 6}.
8/55
Two letters picked without replacement from zmyznzznz. Give prob of picking 2 n.
1/36
Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 1, a: 4, l: 3, s: 2}.
1/15
Four letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |