by n?
3
Suppose 4 = -3*g + 5*g. Let k be 4/(-8) + 9/g. Suppose 0 = -t - 0*t + 2*u + 20, -4*t - k*u + 44 = 0. What is the remainder when t is divided by 8?
6
Let g(w) = -w**3 + 6*w**2 - 3*w - 6. Let s be g(5). Suppose 2 = 4*n - 3*n - 2*b, b - s = 0. Calculate the remainder when 37 is divided by n.
7
Let u = -2 - -7. What is the remainder when ((-70)/6)/((-4)/12) is divided by (12/(-10))/(u/(-75))?
17
Suppose -7*n = 4*n - 561. What is the remainder when n is divided by 27?
24
Let y(z) = z**2 - z + 85. What is the remainder when y(0) is divided by (1 + -2)*(-32 - -3)?
27
Let g(r) = r**3 + 8*r**2 + 2*r - 2. Let j be g(-6). Let d be j - -3*(-4)/6. Let h = d - 37. What is the remainder when 36 is divided by h?
17
Suppose -m - 52 = -5*m. Suppose 0 = 2*w + 10*w - 288. What is the remainder when w is divided by m?
11
Calculate the remainder when (52 - 1) + (-24)/(1 - 9) is divided by 14.
12
Let h be (4/8)/((-2)/4). Calculate the remainder when ((-50)/4 - h)*-2 is divided by 8.
7
Suppose 3*n = 4*z - 20, 0*z + 5*n = 2*z - 10. Suppose 18 = c + 2*v, -2*c + 6*c - 85 = z*v. What is the remainder when 25 is divided by (26/(-8))/((-5)/c)?
12
Let p(c) = 1. Let v(r) = 4*r + 1. Let f(a) = 6*p(a) + v(a). Calculate the remainder when f(7) is divided by 18.
17
Let h(m) = 5*m - 9. Let q be h(-13). Let v = -52 - q. What is the remainder when v is divided by 8?
6
Suppose 3*q = -2*f + 4*q + 7, q + 1 = 0. Suppose -43 = -4*b - f. Calculate the remainder when -17*2/(-2) + 0 is divided by b.
7
Suppose 137 = 9*t + 38. Suppose -2*q - 44 = -4*z + 2*q, 0 = -q - 5. Calculate the remainder when t is divided by z.
5
Let l = -24 + 34. What is the remainder when 28 is divided by l?
8
Suppose 5*l = -3*a + 14, 5*l + 18 = -0*a + a. Let h(q) = q**3 + 5*q**2 - 6*q. What is the remainder when h(-5) is divided by a?
6
Let j(h) = -h + 20. Calculate the remainder when 69 is divided by j(10).
9
Suppose 13 - 2 = 3*r - 5*s, -2*s = -4*r + 24. Let o(m) = 2*m - 7. What is the remainder when o(r) is divided by 3?
1
Let l(a) = 3*a**3 + a**2 + a + 1. Let p be l(-1). Suppose 9*m = 5*m + 56. Calculate the remainder when 1 + (-110)/(-2) + p is divided by m.
12
Suppose -21 + 1 = -5*u. Let i(m) = -3*m**2 + 7*m. Let r(x) = x**2 - x. Let g(k) = i(k) + 2*r(k). What is the remainder when 11 is divided by g(u)?
3
Let n(j) = -j + 4. Suppose -2*g + 13 = -i, 10 = -g - 8*i + 3*i. Let t = g - 2. What is the remainder when n(0) is divided by t?
1
Calculate the remainder when 53 is divided by (-1)/((4/(-2))/44).
9
Let z(p) = -p**2 + 6*p + 4. Suppose -y = -2*x - x - 13, -y = -5*x - 17. Let u be z(y). Calculate the remainder when (-3)/u - (1 + -22) is divided by 12.
10
Suppose 7*f - 136 = -2*n + 2*f, -3*f = -4*n + 246. What is the remainder when n is divided by 8?
7
Let g be -1 - -2 - 3/3. Suppose g*a + 61 = 5*a + 4*h, 4*h = 4*a - 56. Let o(b) = -b**3 - 2*b**2 + 6*b + 6. Calculate the remainder when o(-5) is divided by a.
12
Suppose 6*y - 237 = 177. Calculate the remainder when 204 is divided by y.
66
Let i be (1 - -1) + -3 + 6. Suppose 3*o + h - 80 = -17, -2*o + 4*h + 56 = 0. What is the remainder when (-2)/i - o/(-5) is divided by 2?
0
Let x = 15 + 54. Suppose -28 = -3*r - 5*b, 0 = 2*r - 5*b + 17 - x. Let n = r - -1. Calculate the remainder when n is divided by 9.
8
Suppose 5*w + 3 = 4*w. Let k(o) = -o**3 - 4*o**2 - 3*o + 3. Let g = 10 - 6. Calculate the remainder when g is divided by k(w).
1
Suppose 0*s - 3*s + 121 = 2*u, -180 = -4*s + 2*u. What is the remainder when s is divided by 15?
13
Let x = 7 + 1. Let k be 30/8 - (-1)/4. Suppose 4*s = -3*v + 63, s - 19 + 0 = -k*v. What is the remainder when s is divided by x?
7
Suppose -2 = -y - 0. Calculate the remainder when 30/20*(-8)/(-6) is divided by y.
0
Let s(l) = 19*l**3 + l**2 + l - 2. What is the remainder when s(1) is divided by 5?
4
Suppose -p + 0*s + 16 = 3*s, 0 = -4*p + 5*s + 47. Let m be 34/(-6) + 1/(-3). Let w = m + p. What is the remainder when 19 is divided by w?
5
Let s(y) = -2*y**2 - 40*y - 26. Calculate the remainder when 46 is divided by s(-19).
10
Let l(o) = o**2 + 8*o + 7. Let g be l(-7). Suppose -2*p + 22 - 5 = 5*r, g = -4*r - 5*p. What is the remainder when 9 is divided by r?
4
Suppose c = 7 + 5. What is the remainder when (3*2)/((-30)/(-165)) is divided by c?
9
Let z = -33 - -96. Let n = -30 - -47. Let a = -1 + n. What is the remainder when z is divided by a?
15
What is the remainder when (14/6)/((-11)/(-99)) is divided by 9?
3
Let a(d) = 3*d**2 + 6*d - 10. Calculate the remainder when (-218)/(-4) + 1/(-2) is divided by a(2).
12
Suppose -14*w = -15*w + 7. Calculate the remainder when 11 is divided by w.
4
Suppose -5*b + 4*u + 24 = 0, -2*b + 2 = 2*u - 4. Let s be (-202)/b - (-1)/(-2). Let d = 88 + s. What is the remainder when d is divided by 13?
11
Calculate the remainder when 15 is divided by ((-3)/15)/((-3)/5)*36.
3
Calculate the remainder when 48 is divided by (-847)/(-33) + (-2)/(-6).
22
Suppose 5*g = 14 + 6, 4*s - 36 = -5*g. Suppose 5*u - 12 = u. Suppose -3*k + u*x - 28 = -5*k, -s*k - 5*x = -60. What is the remainder when k is divided by 11?
9
Let c be -1*(-6 + (0 - -1)). Suppose 30 = 6*f - f + c*b, -f + 5*b = 6. Let n(j) = 6*j - 2. Calculate the remainder when n(f) is divided by 12.
10
Let x be 2 - (0 + -1)*2. Suppose 4*w - 5*w = n - 1, 0 = -x*n - 5*w + 9. Let r = 7 + n. What is the remainder when 5 is divided by r?
2
Let t be (387/12)/((-6)/(-32)). Let a = t + -90. Calculate the remainder when a is divided by 21.
19
Suppose 0 = -q - 8 + 14. Suppose 0 = 2*i + 3*i - 15. What is the remainder when q is divided by i?
0
Let t = 21 - -22. Calculate the remainder when t is divided by 15.
13
Suppose 0*g + 2*g - 8 = 0. Suppose 0*s = 3*i + g*s - 11, 0 = -5*i + s + 26. What is the remainder when 13 is divided by i?
3
Let q = 22 - 8. Let n = -2 + 29. Calculate the remainder when n is divided by q.
13
Suppose 4*u - 2*u - 12 = -b, 0 = -b - 3*u + 16. Let f be 272/4 + (-1 - 1). Suppose k = -b*k - 20, 4*k + f = 5*q. Calculate the remainder when q is divided by 4.
2
Let c = 48 + -22. Calculate the remainder when c is divided by ((-36)/6)/((-4)/6).
8
Let m = -11 + 47. Let v = -124 + 143. What is the remainder when m is divided by v?
17
Suppose -z = -0*z. Suppose z*j - 124 = -4*j. Let v(p) = p**3 + 4*p**2 - 6*p + 6. Calculate the remainder when j is divided by v(-5).
9
Let l(x) = -13*x - 17. What is the remainder when l(-3) is divided by 12?
10
Suppose -3*i = -b - 0*b + 17, 2*b - 4*i - 24 = 0. Suppose 6*t - 48 = b*t. What is the remainder when 47 is divided by t?
11
Suppose -3*p - h - 24 = 0, 4*p + 4*h + 34 = 2*h. Let r = 6 - p. Calculate the remainder when 23 is divided by r.
10
Let w = 26 - 2. Suppose -20*n + 16*n + w = 0. Calculate the remainder when 8 is divided by n.
2
Let m(t) = -1 + 4 - 7*t + 2*t**2 - 1. Calculate the remainder when 67 is divided by m(5).
16
Suppose -6 = -5*r + 9. Suppose -17 + 72 = 5*k + 5*w, -25 = -5*w. Suppose 5*m - k = -5*b + 39, 0 = -2*b - 3*m + 19. What is the remainder when b is divided by r?
2
Let d = 0 - -2. Suppose 24 = -d*k + 4*k. Calculate the remainder when 23 is divided by k.
11
Let w(b) = -b**3 - 2*b**2 + b + 8. Calculate the remainder when w(0) is divided by 5.
3
Let z(g) = 3*g**3 - 2*g**2 + g - 4. Suppose 4*j + 6 = 18. Suppose j*k = -4*c + 75, c + 5*k + 2 = 8. Calculate the remainder when z(3) is divided by c.
20
Let i(b) = -5*b - 4. Suppose -2*u - 3*u = 10, 4*u + 8 = -f. Let h(m) = -m**3 - m**2 + 30. Calculate the remainder when h(f) is divided by i(-4).
14
Let t(n) = -2*n - 3. What is the remainder when 156/8 - 2/4 is divided by t(-5)?
5
Let a be 0 + 2 + (1 - 4). Calculate the remainder when (-7)/a + 2 + -1 is divided by 21/4 - 3/12.
3
Let f(g) = 21*g**2 + g. Let j(b) = 2*b + 21. Let o be j(0). What is the remainder when (64 - 1)*14/o is divided by f(1)?
20
Suppose 0*s = -2*s - 4*q + 266, 344 = 3*s - 5*q. What is the remainder when s is divided by 64?
59
Let g = -22 - -10. What is the remainder when g*(-8)/12 + 1 is divided by 5?
4
Let g = 50 - 47. What is the remainder when 13 is divided by g?
1
Suppose 3*q = 4*w - 11 + 30, 4*q - 2*w - 12 = 0. Let j = 32 - 10. Calculate the remainder when j is divided by (3*-2)/(q/(-2)).
10
Let j(k) = k**2 + 12*k - 2. Let n be j(-13). Let m = n - -7. What is the remainder when 34