 remainder when k is divided by 27?
26
Let i(f) = -372 + 365 - 4*f + f**2 + 3*f**2. Calculate the remainder when 67 is divided by i(3).
16
Let x = 78 + -50. Suppose x*f = 24*f + 212. What is the remainder when f is divided by 7?
4
Calculate the remainder when ((-41)/1)/((0 + 3)/(-3)) is divided by (-21)/(-1 - 0) - 0.
20
Suppose 2*v + 77 = s + 3*v, -4*s = 2*v - 312. Suppose s = 5*x + 14. Suppose y + n = 2*n + x, -y = 4*n + 7. What is the remainder when 16 is divided by y?
7
Let w be 21/(-28) - (-779)/4. Suppose -w - 96 = 5*a. Let g = a + 101. Calculate the remainder when g is divided by 16.
11
Let y = -2 - -4. Suppose 3*r - 3*z - 109 = 2*z, -z + 90 = y*r. Let u = 135 - 113. What is the remainder when r is divided by u?
21
Suppose 8*n - 173 = -3*t + 3*n, -4*t = 3*n - 227. Let i be (1/(-4) + (-3)/12)*84. Let z = -30 - i. What is the remainder when t is divided by z?
8
Suppose l + 2*a - a = 0, 2*l - a - 15 = 0. Suppose 7*o - 8*o = -l*p - 132, 0 = 4*o - 4*p - 512. What is the remainder when o is divided by 10?
7
Suppose -660 - 22 = -11*j. Calculate the remainder when 866 is divided by j.
60
Suppose 3*n - 134 = 13. Calculate the remainder when 143 is divided by n.
45
Suppose 2*k = -0 + 12. What is the remainder when 33 is divided by k/(-2*(-2)/6)?
6
Let c(k) = -k**3 + 21*k**2 + 24*k + 30. Calculate the remainder when 811 is divided by c(22).
71
Let u = -57 - -74. Calculate the remainder when 439 is divided by u.
14
Suppose 272 = 3*x + 5*z, 10*x = 9*x + z + 104. Calculate the remainder when x is divided by 17.
14
Suppose 0 = 3*a, -290 = -4*s - a + 106. Calculate the remainder when s is divided by 34.
31
Let o(c) be the third derivative of c**6/120 - c**5/30 - c**4/24 + 29*c**3/2 - 28*c**2. What is the remainder when o(0) is divided by 15?
12
Let v be ((-66)/36)/11 + (-1)/(-6). Suppose -13*u + 15*u - 28 = v. Calculate the remainder when 25 is divided by u.
11
Let j(k) = 2*k**3 + 56*k**2 + 56*k - 17. Calculate the remainder when j(-26) is divided by 154.
153
Suppose 4*i + i = -20, -5*p - 10 = 5*i. Let z(w) = -w**3 + 4*w**2 - 3*w + 2. Calculate the remainder when 6 is divided by z(p).
2
Suppose -10*l = -6*l - 4*z - 2224, -2*z = -4*l + 2228. What is the remainder when l is divided by 24?
6
Let n = 215 + -20. What is the remainder when n is divided by 28?
27
Suppose -3*k + 11 = 5*z, 0 = -3*k - 5 - 4. Suppose i - z*i + 93 = 0. Suppose -v - 43 = -5*t, 2*t - i = -2*v - 9. What is the remainder when 26 is divided by t?
8
Suppose 5*f - 25 = 0, -4*t - 3*f - 24 = 73. Let k = 66 + t. Let h = 27 - 17. Calculate the remainder when k is divided by h.
8
Let y(p) = 17*p - 1344. Calculate the remainder when y(82) is divided by 37.
13
Let l = 32 - 32. Suppose 5*f + 5*q = l, 2*f + 7*q = 2*q - 15. Calculate the remainder when 39 is divided by f.
4
Let g = -99 - -138. What is the remainder when 57 is divided by g?
18
Let h(d) = d**2 + d - 1. Let f = -12 - -13. Let p(k) = -7*k**2 - 14*k + 11. Let b(l) = f*p(l) + 6*h(l). What is the remainder when b(-6) is divided by 9?
8
Let z(a) = 3*a**2 - 3*a + 19. Suppose -u = -3*u + 74. What is the remainder when z(6) is divided by u?
35
Let t be -1*4*(-27)/18. Let q = -9 + t. Calculate the remainder when 19 is divided by -1 + 2 - (q - 3).
5
Suppose -11*t - 50 = -16*t. Calculate the remainder when t is divided by 3.
1
Let d(u) = 3*u - 6. Let a(z) = 2*z**3 + 12*z**2 - 11*z - 14. What is the remainder when a(-6) is divided by d(7)?
7
Suppose 5*s + 20*n - 24 = 19*n, 3*n = -2*s + 7. What is the remainder when 11 is divided by s?
1
Let z(l) = -3*l + 1. Let u be z(1). Let g(b) = 29*b**2 - 2*b - 2. What is the remainder when g(u) is divided by 24?
22
Let i(n) = n**2 + 2*n + 13. What is the remainder when 77 is divided by i(-3)?
13
Let s(l) = 6*l**2 - 3*l + 5. Suppose 2*i = -2*j + 142, -i - 4*i = j - 367. Suppose -2*c = 16 - i. Calculate the remainder when s(-4) is divided by c.
26
Let h(v) = v**2 + 4*v. Let c be h(-3). Let a(d) = -d**2 - 5*d - 1. Let w(n) = n**3 + 4*n**2 - 3*n + 5. Calculate the remainder when w(-4) is divided by a(c).
2
Suppose 0 = 2*c - 4*c + 5*n + 47, 0 = -5*c - 4*n + 167. What is the remainder when c is divided by 29?
2
Let b(a) = 42*a - 6. Suppose 8 = -2*d, -5*s + 5*d + 65 = -110. What is the remainder when b(6) is divided by s?
29
Suppose 10*l - 864 = -22*l. Calculate the remainder when 269 is divided by l.
26
Let p(h) = -h**2 + 13*h + 1. Let r be p(7). Calculate the remainder when 28 is divided by r/3 - 2/(-3).
13
Suppose 0 = 8*m + 3*m - 77. Suppose 9*v = 4*v + 15, 2*w - 171 = -5*v. Let l = w + -46. Calculate the remainder when l is divided by m.
4
Let v = -4 - -7. Let t be -16 - (-2 + v) - -1. What is the remainder when (-8)/t + (-25)/(-2) is divided by 7?
6
Suppose 3*k + t = 424, 4*t = -2*k + 137 + 129. Calculate the remainder when k is divided by 10.
3
Let y = 821 - 643. Calculate the remainder when y is divided by 66.
46
Suppose -4*j + 32 = -76. Let r = -6168 - -6246. What is the remainder when r is divided by j?
24
Suppose 15171 = 34*n - 3801. What is the remainder when n is divided by 11?
8
Let k(m) be the second derivative of 3*m**3 + 4*m. What is the remainder when 52 is divided by k(1)?
16
Let m be -4 + 68 - (-4 - 0). Let o be m/12 - (-1)/3. What is the remainder when (5 + 7)*o/8 is divided by 6?
3
What is the remainder when ((-327)/(-545))/((-2)/(-450)) is divided by 1?
0
Let j = -426 - -680. Calculate the remainder when j is divided by 16.
14
Let i(c) = 3*c**3 - 15*c**2 - 15*c + 26. Let s(v) = 4*v**3 - 14*v**2 - 14*v + 26. Let b(r) = 3*i(r) - 2*s(r). What is the remainder when b(18) is divided by 15?
14
Suppose 53 = 2*f - 3*g + 2, -2*f + 47 = g. Suppose 0 - 3 = -3*s. What is the remainder when 2*-23*s/(-1) is divided by f?
22
Let k(q) = -4*q**2 + 3*q + 4. Let c(g) = -5*g**2 + 4*g + 5. Let i = 18 + -22. Let p(a) = i*k(a) + 3*c(a). Calculate the remainder when p(-2) is divided by 1.
0
Let i(f) = 50*f**3 - f**2 - 2*f + 2. Calculate the remainder when 1028 is divided by i(1).
48
Let h = -23 + 24. Suppose -b - h - 7 = 0. Let f = 92 + b. Calculate the remainder when f is divided by 29.
26
Let w = -21 - -54. Let a(r) = -28*r - 9. Calculate the remainder when a(-5) is divided by w.
32
Suppose -55*n - 134 = -2*g - 59*n, 5*n - 310 = -5*g. What is the remainder when g is divided by (-86)/(-6) - (-4)/6?
12
Let o = -69 + 79. Let m = 39 + -70. Let v = m - -58. What is the remainder when v is divided by o?
7
Let p(l) = 2*l + 12. What is the remainder when (7 - 3) + (0 - -16) is divided by p(0)?
8
Suppose -7*x + 10 = -18. What is the remainder when 411/x + 3 + 44/(-16) is divided by 26?
25
Suppose -469 = 7*o + 21. Let h = o + 89. Calculate the remainder when h is divided by 7.
5
Suppose l - 19 = -0*l. Let u(i) = i**3 + i**2 - 5*i + 5. Calculate the remainder when u(5) is divided by l.
16
Suppose -13*y - 121 + 667 = 0. Calculate the remainder when y is divided by 25.
17
Suppose 0 = 6*p - 4*p - 36. Let g(b) be the third derivative of b**5/30 - b**4/4 - b**3/2 - 20*b**2. What is the remainder when g(6) is divided by p?
15
Suppose -j - 2*t + 37 = 0, 36*t = -5*j + 34*t + 129. Calculate the remainder when j is divided by (12/(-15))/(2/(-15)).
5
Let w = 59 + -99. What is the remainder when (-315)/w + (-3)/(-24) is divided by 2?
0
Suppose -43 + 31 = -3*g. Let z(m) = m**3 + 6*m**2 + 4*m - 2. Calculate the remainder when (53/2)/(2/g) is divided by z(-4).
11
Let c = 0 + 2. Suppose 0 = -4*d - c + 50. Calculate the remainder when d is divided by 4.
0
Let i(d) = -3*d - 13. Let w(p) = -p**2 - 18*p - 8. Let h be w(-18). What is the remainder when 41 is divided by i(h)?
8
Suppose 0 = 9*h - 6*h - 111. Let y = h - -5. Calculate the remainder when y is divided by 11.
9
Let r be 4/(-6)*-6 + 2. Let h = 3 + 3. Calculate the remainder when h is divided by (-12 - -4)*(-3)/r.
2
Let f be (-2)/3*(-1)/((-3)/(-54)). What is the remainder when 72 is divided by (-942)/(-36) - 2/f?
20
Let o(v) = -v**3 + 16*v**2 + 35*v + 28. Let a be (3*(-12)/15)/(4/(-30)). Suppose -4*f + 82 = -26. Calculate the remainder when f is divided by o(a).
7
Suppose 436 - 1335 = -29*r. Let y = -58 - -180. Calculate the remainder when y is divided by r.
29
Let s = 98 - 142. Let g = -27 - s. What is the remainder when 84 is divided by g?
16
Let j(l) = 3*l**2 - 15*l + 3. Calculate