0. Suppose -2*u + 49 = 5*k, -4*k = -y*k + u + 16. What is the remainder when 143 is divided by k?
8
Let b(s) = s**3 - 16*s**2 + 36*s + 45. Calculate the remainder when 81 is divided by b(13).
3
Let f = -69 - -113. Suppose -f = -2*z - 12. Suppose 3*l + 292 + 104 = 5*n, 80 = n - l. What is the remainder when n is divided by z?
14
Suppose 3*s + 13 = 4*s. Let r = s - -65. What is the remainder when r is divided by 27?
24
What is the remainder when ((-12)/16)/(10 - (-148010)/(-14800)) is divided by 21?
18
Let v = 262 - 215. What is the remainder when 514 is divided by v?
44
Let j = 112 + -75. Calculate the remainder when 479 is divided by j.
35
What is the remainder when 269 is divided by 68*(14/21)/(2/6)?
133
Let h(n) = -n**3 - 7*n**2 - 22*n - 32. Calculate the remainder when h(-9) is divided by 67.
60
Suppose -2*h = -12 - 8. Let x be (-6)/(8/(-2) + 2). Suppose -x*s - 38 = -4*s. What is the remainder when s is divided by h?
8
Suppose -7 = -y + 5*r - r, 3*r = 9. Calculate the remainder when y is divided by (-13)/2*(2 - 4).
6
Let w = -4 + 9. Suppose 320 = -2*k + 5*k + 4*u, -w*k + 4*u + 512 = 0. Let j = k + -17. What is the remainder when j is divided by 18?
15
Let x = 0 + 6. Suppose 5*p + x*n - 199 = 2*n, 5*n - 83 = -2*p. What is the remainder when p is divided by 14?
11
Suppose 0 = -4*t + 5 + 3. Suppose o - t = -0. Calculate the remainder when o is divided by 1.
0
Suppose -3*p + 2*p + 5*f = -43, -5*f + 125 = 5*p. Let t = 28 - p. Suppose t = 2*h - 0*h - 30. What is the remainder when 58 is divided by h?
13
Let j be 0 + (-2 + 6)/(-2). Let s be 1*(-3 - -5)/j. What is the remainder when 8 is divided by 52/16 + s/4?
2
Let p be ((-179)/2)/((-2)/(-4)). Let l = p - -204. Calculate the remainder when (0/(-2))/(-2) - -74 is divided by l.
24
Suppose 0 = 4*o + 4*r - 88, 2*r + 0*r + 88 = 4*o. What is the remainder when 4/20 - 1570/(-25) is divided by o?
19
Let h = -17 - -17. Let x = h + 3. Suppose 0 = -x*i + 13 - 4. Calculate the remainder when 11 is divided by i.
2
Suppose 2*t = 3*k + 93, -5*t - 15*k + 237 = -18*k. Calculate the remainder when t is divided by 18.
12
Let g(h) = -h**2 + 28*h - 12. What is the remainder when g(15) is divided by 23?
22
Let c = 125 - 89. Let f = c - 17. Calculate the remainder when 36 is divided by f.
17
Suppose -234 = 4*b - 7*b. Suppose 3*x - 125 - 95 = 4*w, -3*x - 2*w = -250. Suppose 0*o = 4*o - x. Calculate the remainder when b is divided by o.
18
Let j(w) = -w**2 + 14*w + 3. Suppose -10 = -5*r, -3*r - 5 + 19 = 4*a. Suppose -54 = -a*u - u. What is the remainder when j(7) is divided by u?
16
Let g(c) = c**2 - 31*c + 143. Calculate the remainder when 700 is divided by g(5).
11
Suppose 118*k - 2556 = 109*k. Calculate the remainder when k is divided by 57.
56
Let h(p) = p**3 + 13*p**2 - 15*p - 1. Let o = -6 + -8. Let q be h(o). Let a = -3 + q. Calculate the remainder when 26 is divided by a.
6
Suppose -5*t = -5*a + 10, -3*t + 4*a = -t + 14. Calculate the remainder when -68*t/(1 - 7) is divided by 12.
10
Let t = -21 + 78. Suppose -9*c + 6*c + 276 = 0. Suppose 5*z - c + 17 = 0. Calculate the remainder when t is divided by z.
12
Suppose -6*u + 5*u = -126. Suppose -4*i = -u + 34. Let v = -667 + 756. What is the remainder when v is divided by i?
20
Let h = -1 + 5. Suppose 2*b - y + 2 = -21, h*b + 2*y = -50. Let a(v) = -4*v - 7. Calculate the remainder when a(b) is divided by 14.
13
Let d = 135 - -87. What is the remainder when d is divided by 75?
72
Let b be (-2624)/80 - (-2)/(-10). Let i = 68 + b. Calculate the remainder when i is divided by (-2)/14 - (-192)/21.
8
Let a be 3*((-23)/3)/(-1). Suppose -16 = -5*g - v, -g + 2*v + 20 = -2*v. Let u = a - g. What is the remainder when u is divided by 5?
4
Suppose 64*w - 57*w - 189 = 0. What is the remainder when 212 is divided by w?
23
Suppose -p + 4*o - 75 = -6*p, 4*o - 37 = -3*p. Calculate the remainder when 144 is divided by 2*p - (-14 - -15).
33
Suppose 79 = 4*c + 94*k - 89*k, -5*c + 77 = -k. Suppose 2*t - 220 = -2*t - 4*h, 2*h = 3*t - 190. What is the remainder when t is divided by c?
12
Let u(b) = b**2 - 3*b - 1. Suppose 13*c = 130 + 52. What is the remainder when c is divided by u(-2)?
5
Let m = -72 + 48. Let l = -17 - m. What is the remainder when l is divided by 6?
1
Suppose 3*s + 4 = 4*p + 32, 5*s = 4*p + 36. Suppose 7*z = 26 + 51. Calculate the remainder when z is divided by s.
3
Let v(h) = -6*h**3 - h**2 - h - 1. Let k be v(-1). Suppose k*f = 5*d + 63 + 37, 28 = f - 5*d. Let g = 14 + 37. Calculate the remainder when g is divided by f.
15
Let n(v) = 5*v**2 - 2*v + 2. Suppose 2 = -4*t - 2, -t = -3*k - 53. What is the remainder when n(2) is divided by (3 + k)*(-2)/6?
3
Let k = 62 - 59. Suppose 2*v + k*p - 30 = -1, 5*v - 80 = -5*p. What is the remainder when 93 is divided by v?
17
Let i(m) = 5*m**2 + m. Calculate the remainder when (13/(65/32))/((-22)/(-55)) is divided by i(1).
4
Let u be 0/(4/(-2)) - -4. Suppose 3*f + u*c = 8, f = -f - 2*c + 6. What is the remainder when 295/20 - (-1)/f is divided by 8?
7
Let y = 32 + -30. Suppose -2*x + 66 = 3*g, 0 = x + 2*x + y*g - 94. What is the remainder when x is divided by 18?
12
Suppose -3*t + 13 = -t + 5*u, 4*t = u + 15. Suppose -3*x + t = -x. Suppose -x*g + 15 - 3 = 0. What is the remainder when 21 is divided by g?
3
Let z = 27 + -15. Let f(m) = m**2 + 2*m - 1. Suppose 4*p + 3*r + 22 = 0, -p + 2*r = r + 9. Calculate the remainder when f(p) is divided by z.
10
Suppose -2*j - 125 = -5*m, 6*m - 71 = 3*m + 2*j. What is the remainder when m is divided by (-68)/(-8) - 40/16?
3
Suppose -55*b - 880 = -99*b. Suppose -5*g = -997 + 12. Calculate the remainder when g is divided by b.
17
Suppose 0 = -67*p + 88*p - 1134. Calculate the remainder when 147 is divided by p.
39
Suppose 0 = 2*k - 4*k - 10, -4*o - k + 3 = 0. Suppose 0 = 5*g + i - 6*i - 435, -o*g = -4*i - 168. Calculate the remainder when g is divided by 46.
44
Suppose 3*z + 2*z = 165. Let n(w) be the first derivative of w**2 + 6*w + 3. What is the remainder when z is divided by n(6)?
15
Suppose t - 5*t + 408 = 0. Calculate the remainder when t is divided by ((-9)/(-2))/(9/54).
21
Suppose -4*z - 4*w + 932 = 0, 4*z = -2*w + 981 - 55. Calculate the remainder when z is divided by 85.
60
Let q(o) = -o + 5. Suppose -a - a = 0. Let g be q(a). Suppose 0 = -3*y + 5*i - 2*i, -10 = -g*i. What is the remainder when 7 is divided by y?
1
Let c(g) = -3*g - 44. Let o be c(0). Calculate the remainder when (1 + (-2)/(-4))*22 is divided by -2*(-3 - o/(-8)).
16
Let s(p) = 50*p**2 + 6*p + 9. Calculate the remainder when 365 is divided by s(-1).
47
Let a(c) = 2*c + 0*c + 4 + 3*c. What is the remainder when a(7) is divided by 9 + 0 + -1 + 2?
9
Let r(f) = -16*f + 13. Let z be r(-3). Let c = -4 - -7. Suppose -m + z = c*s, -2 = -4*s + 2. What is the remainder when m is divided by 20?
18
Calculate the remainder when 984 is divided by (-2)/(-3) + 494/399*14.
12
Let o(b) = -8*b - 166. Calculate the remainder when 49 is divided by o(-22).
9
Suppose -4*q + 8 + 0 = 0. Suppose -5*w = -2*g - 178, 0*w + 4*g = -q*w + 76. Calculate the remainder when w is divided by 8.
4
Let l = 29 + 41. Let p(r) = -r**3 + 16*r**2 + r - 9. Let i be p(16). Suppose 0 = -h + i*h - 108. What is the remainder when l is divided by h?
16
Suppose 0 = -4*d + 5*z + 2725, 1361 = -0*d + 2*d - 3*z. Suppose -13*w + d = -95. Calculate the remainder when w is divided by 21.
18
Suppose 12 = x + 5*x. Let m = 14 + -9. What is the remainder when 3/x - 86/(-4) is divided by m?
3
What is the remainder when 204 is divided by 51 + (-3 + -6 - 0)?
36
Let x(a) = -13*a**2 - 5*a - 2. Let z be x(-2). Let i(p) = -9*p**2 - p - 1. Let r be i(-1). Let s = r - z. Calculate the remainder when s is divided by 19.
16
Let y(j) = -j**2 + 5*j - 2. Let r be y(4). What is the remainder when 21 is divided by (-247)/(-38) - 1/r?
3
Suppose 5*b + 82 - 32 = 0. Let y(c) = -5*c - 35. What is the remainder when y(b) is divided by 9?
6
Let w(j) = j**3 - 17*j**2 - 10*j - 38. Calculate the remainder when w(18) is divided by 36.
34
Let l be ((-2)/(-6))/((-6)/(-90)). Let n = 3 + l. Suppose 12 = -4*s, 0*g - 2*g = 4*s - 18. Calculate the remainder when g is divided by n.
7
Suppose -t + 2*i + 297 = -0*t, 4*i - 303 = -t. Suppose 5*n + 4*a = 491, -3*a = -3*n - a + t. Calculate the remainder when n is div