vided by 5.
3
Let b(n) = 3*n**3 - n**2 - 2*n - 2. Let l be b(2). Suppose l*u - 228 = 2*u. What is the remainder when u is divided by 13?
6
Suppose -26*k = 15287 - 61021. Calculate the remainder when k is divided by 22.
21
Suppose 499*x - 572 = 495*x + 4*k, x + 5*k = 143. Calculate the remainder when 303 is divided by x.
17
Suppose -15*q + 1569 = 294. What is the remainder when 581 is divided by q?
71
Let z = 1262 + -1101. What is the remainder when z is divided by 88?
73
Suppose 20*n - 11*n = 297. Let h(l) = 5*l**2 - 150*l - 67. What is the remainder when h(n) is divided by 54?
50
Let n be 14725/(-75) + 2/(-6)*-1. Let v = -170 - n. What is the remainder when 103 is divided by v?
25
Suppose 0 = 5*f - 0*f - 460. Calculate the remainder when f is divided by ((-9)/6 + 0)/((-1203)/37694).
45
Let c(l) = 2*l**2 - 57*l - 19. Let m = -7 - -11. Suppose m*t = 57 + 91. Calculate the remainder when t is divided by c(29).
7
Let s(c) = -2*c**3 - 56*c**2 - 4*c - 74. Calculate the remainder when 530 is divided by s(-28).
36
Suppose 0 = -7*k + 8*k. Suppose -w - w = 5*a - 12, k = -a + 2. Let f(l) = 12*l - 2. What is the remainder when 19 is divided by f(w)?
9
Suppose 0 = 16*p + 173 - 317. Calculate the remainder when p is divided by 5.
4
Suppose 33*f - f - f = 18197. Calculate the remainder when 598 is divided by f.
11
Let m = -322 - -605. Suppose 42*c + 164 = -53*c + 1399. Calculate the remainder when m is divided by c.
10
Let j(w) = 21*w**2 + 8*w - 16. Let h(t) = -3*t**2 - 22*t - 4. Let z be h(-7). Calculate the remainder when j(z) is divided by 51.
44
Let z = 5133 - 5099. What is the remainder when 679 is divided by z?
33
Suppose -105*h - 620 = -107*h. Suppose -821 = -5*a - k, h = 6*a - 4*a + 5*k. Calculate the remainder when a is divided by 42.
39
Let k = 213 + -359. Calculate the remainder when 2/(-16)*4*k is divided by 16.
9
Suppose 11*n - 25 = 96. Let z(a) = a**3 + a**2 - 4*a + 3. Let w be z(3). Let j = n + w. What is the remainder when j is divided by 14?
10
Suppose 4*g - 20 = -g. Suppose -6 = 2*z, 4*l - 18 = -l - g*z. Suppose d = 4*d - l. Calculate the remainder when 4 is divided by d.
0
Let g(l) = -l - 7. Let v be 956/(-14) + 4 + (-182)/49. Let t = -87 - v. What is the remainder when 95 is divided by g(t)?
11
Let r = 23948 + -23874. Calculate the remainder when 289 is divided by r.
67
Suppose 437 = -7*o + 30*o. Suppose -2*q - o*q = -3717. Calculate the remainder when q is divided by 81.
15
Let l(t) = -2*t**3 - t**2 + 2*t + 2. Suppose -62*u + 29*u + 6171 = 0. What is the remainder when u is divided by l(-2)?
7
Let k = 86 - 69. Suppose -k*v = -16*v - 2. Suppose -5*r + 5 = -20. What is the remainder when r is divided by v?
1
Suppose -2*a - 28 = -96. Suppose 126 = -2*n + 11*n. Suppose -n = -8*b + a. Calculate the remainder when b is divided by 2.
0
Let x = -41437 - -41497. Let z(w) = 5*w**2 - 9*w + 7. Calculate the remainder when z(6) is divided by x.
13
Suppose 7*u - 17*u + 9*u + 8 = 0. Calculate the remainder when 32 is divided by u.
0
Suppose 3*r - 15 = -0*r. Calculate the remainder when 5 is divided by (-1)/(5/r + (-12)/8).
1
Let p(s) = 2*s**3 - 4*s**2 - 33*s + 394. What is the remainder when 990 is divided by p(6)?
22
Let k = 177 - 133. Suppose g - 43 = 2*g. Let q = g + k. Calculate the remainder when q is divided by 1.
0
Let m(c) = -18*c + 160. What is the remainder when m(-9) is divided by (-5)/(-20) + 294/8 + -1?
34
Let h(w) = -w**2 + 7*w + 5. Let p(r) = -7*r - 6. Let x(j) = -2*h(j) - 3*p(j). What is the remainder when 35 is divided by x(-5)?
12
Let q(n) = -n**2 - 29*n - 36. Calculate the remainder when q(-24) is divided by (6 - 3)/((-6)/(-88)).
40
What is the remainder when ((-4)/24 - 13911/6)/(2/(-3)) is divided by 77?
13
Let c(f) be the first derivative of f**4/2 - f**3/3 + f**2 + f - 1. Calculate the remainder when ((0 - 2)/(-2) - -66) + 38179/(-38179) is divided by c(2).
15
Let m(s) = 52*s + 898. What is the remainder when 376 is divided by m(-17)?
12
Let x = -262 - -301. Suppose -5*o = -2*n - x - 70, -3*n = o - 15. Calculate the remainder when 88 is divided by o.
4
Let h(k) = -314*k - 114. Calculate the remainder when 407 is divided by h(-1).
7
Suppose -5*f = 3*y - 387, -3*y = -2*f + y + 134. Let b(a) = 4*a**3 + 4*a**2 - 106*a + 310. What is the remainder when b(3) is divided by f?
61
Suppose 6275 = 132*z - 3493. Calculate the remainder when 342 is divided by z.
46
Suppose -21 = -3*v, -3*f - 10*v + 15*v = -16. Let t = 189 - 90. Calculate the remainder when t is divided by f.
14
Let p be (-6)/(1 - -1)*45. Let n = -39 - p. Calculate the remainder when n is divided by 50.
46
Suppose 832 = -5*t + 8*t + 5*z, -2*z = 6*t - 1696. Calculate the remainder when t is divided by 24.
20
Let p = -257 - -331. Let t be (2 + -70)*(-6)/(-8). Let a = t + p. Calculate the remainder when 45 is divided by a.
22
Let n = 21 + -43. Let a = 61 + n. Calculate the remainder when a is divided by 23.
16
Let k(w) = -3*w**2 - 31*w - 29. What is the remainder when 7404 is divided by k(-9)?
5
Suppose -6*r = b - r - 2, 0 = 3*b + 3*r - 54. What is the remainder when 1076 is divided by b?
20
Suppose 5328 = 17*w - 9768. Let b = 971 - w. Let d(g) = -19*g - 1. What is the remainder when b is divided by d(-1)?
11
Let j(c) = 1006*c - 907. Calculate the remainder when j(1) is divided by 42.
15
Let f = 378 + -251. Suppose -u + f = 4*q, -4*u + 828 = 3*q + 320. What is the remainder when u is divided by 33?
28
Suppose 55778 = 16*v - 1742. Calculate the remainder when v is divided by 17.
8
Suppose g - j - 4*j - 604 = 0, 1704 = 3*g + 3*j. What is the remainder when g is divided by 192?
190
Let k(n) = -n**2 + 12*n - 17. Calculate the remainder when 68 is divided by k(4).
8
Suppose 0*u + 4*u + 13 = 5*u. Calculate the remainder when 1608 is divided by u.
9
Let h = -41 + 69. What is the remainder when h is divided by (-11)/(231/(-350))*((-81)/(-6) - 12)?
3
Let n = 57 + -53. Suppose 2*s - 4 = n. Let r(b) = b + 1. What is the remainder when 19 is divided by r(s)?
4
Suppose 0 = 4*k - 9*k + 140. What is the remainder when 3022 is divided by k?
26
Let i = -1126 + 1148. Calculate the remainder when -1*(-9)/3 - 3 - -149 is divided by i.
17
Let m = -1870 - -2551. Calculate the remainder when m is divided by 86.
79
Let n(c) = -c**2 - 49*c - 454. What is the remainder when 4882 is divided by n(-33)?
72
Let a be (-3*2/4)/(15/(-20)). Suppose 6*q = 2*q + 52. Calculate the remainder when q is divided by a*((-100)/(-8))/5.
3
Let n(s) = 9*s**3 - 2*s**2 + s + 1. Let b(f) = 2*f**2 + 6*f - 5. Calculate the remainder when b(-7) is divided by n(1).
6
Let a(f) = -f**2 - 15*f - 13. Suppose 0 = -i - 4*x - 4 - 6, -4*i - 40 = -2*x. What is the remainder when a(i) is divided by 0 - (-3 + 3 - 14)?
9
Let s(j) = -64*j - 1334. What is the remainder when (1 + 57/6)*4 is divided by s(-21)?
2
Let q be 4/24 + 1375/30. Suppose o + q = 81. Calculate the remainder when o is divided by 9.
8
Suppose -2*t - 16*d + 13 = -19*d, 3*t - 17 = 2*d. Let u = 22 - 16. Suppose -4*v + t = 3*l, 3*v - 4*l - u = 4. Calculate the remainder when 2 is divided by v.
0
Let b(r) = -6*r + 32. Let k be b(5). Let l(t) = 24*t - 9. Let w(c) = -c**3 - 12*c**2 + 14. Calculate the remainder when l(k) is divided by w(-12).
11
Let k(c) = 42*c**2 - 37*c - 59. Suppose -t - 5*z = -2*z - 12, -t - 4*z = -9. Calculate the remainder when k(-2) is divided by t.
15
Suppose -4*r + 20 = 0, 0 = -13*x + 8*x - 2*r - 2345. Let l = 625 + x. What is the remainder when l is divided by 52?
50
Let u = -10775 - -11316. What is the remainder when u is divided by 4?
1
Calculate the remainder when (168/(-30))/(((-44)/(-130))/(-11)) is divided by 34.
12
Let h(y) = 5*y**2 + 55*y - 34. Let g be h(-13). Suppose -3*x + 136 = s, -3*s - 2 = -2*x + g. Calculate the remainder when x is divided by (-2)/(-7) + 272/28.
6
Let b = -21 - -53. Suppose -28*q = -10*q + 3816. Let x = q - -273. What is the remainder when x is divided by b?
29
Suppose 88 = 4*p + 8. Suppose -c + 91 = 3*r, 87 + p = c - 5*r. Let o = 139 - c. Calculate the remainder when o is divided by 12.
6
Let g(q) = -7*q**2 + 5*q - 6. Let b be g(3). Calculate the remainder when (-1328)/(-6)*b/(-36) is divided by 67.
64
Suppose 0 = -2*q + 2, -q = -4*f + 2*q + 65. Suppose f*o - 5*o - 180 = 0. What is the remainder when 37 is divided by o?
