12
Let r(d) = -d**3 + 10*d**2 + 2*d + 5. What is the remainder when r(10) is divided by 7?
4
Let a(b) = 3*b**3 - 3*b + 2. Suppose -2*n + 1 + 1 = 0. Suppose -n = -k + 1. Calculate the remainder when 38 is divided by a(k).
18
Suppose 14*c - 10*c = 124. What is the remainder when 92 is divided by c?
30
Let d(q) = -5*q - 2. What is the remainder when (-96)/(-4) + (-1)/(-1) is divided by d(-3)?
12
Let o(c) = c**3 + 4*c + 3. What is the remainder when o(0) is divided by 1?
0
Let t = 29 - 20. Calculate the remainder when t is divided by 1.
0
Suppose 0 = -3*d, 3*p - 42 = 3*d - 5*d. Calculate the remainder when 55 is divided by p.
13
Let i(f) = -2*f + 9*f - 1 - 5. Suppose -34 = -2*t - 14. What is the remainder when i(5) is divided by t?
9
Suppose 0 = 6*o - 3*o - 75. Suppose 4*b + 5*y - 52 = 0, -b - y = -13 - 0. Calculate the remainder when o is divided by b.
12
Calculate the remainder when 69/2*10/3 is divided by 30.
25
Let i(s) = s**3 - 4 - 6*s + 6*s**2 - 6 + 1. What is the remainder when i(-5) is divided by 16?
14
Let p = 15 - 11. What is the remainder when 22 is divided by p?
2
Suppose -l + f = -7, 4*f - 5 = -5*l - 15. Suppose 2*c = z + 26, 6*c + l*z - 83 = c. Calculate the remainder when c is divided by 3.
0
Let w(v) = 2*v**2 + 2*v + 11. Suppose -2*j + 40 = -0*j. Calculate the remainder when j is divided by w(0).
9
Let l(h) = 2*h**2 - 10*h - 3. Suppose -2*d + 283 = 3*b, -d = 6*b - b - 481. What is the remainder when b is divided by l(7)?
22
Let g = 4 - 11. Let d(h) = -h**2 - 6*h + 10. Let u = 11 + -7. What is the remainder when u is divided by d(g)?
1
Let o(d) = -d + 3. Let q be o(6). Let y = 27 + q. What is the remainder when 71 is divided by y?
23
Suppose -2*h + 5*h - 28 = -b, -4*b + 152 = 4*h. What is the remainder when b is divided by 15?
13
Let p be 4/1 - (-3)/(-1). Calculate the remainder when 17*(p + (2 - 2)) is divided by 6.
5
What is the remainder when 84 is divided by 159/9 - (-4)/(-6)?
16
Let a = -50 - -14. Let j = 50 + a. Calculate the remainder when j is divided by (-32)/(-28)*(9 - 2).
6
Let p(c) = 36*c - 1. Let u be p(1). Suppose 4*t + 3*k = -0*t + u, -5*t + 3*k + 64 = 0. Calculate the remainder when 41 is divided by t.
8
Let o = 22 + -11. Let z(h) = h**2 + 3*h - 3. Let n be z(-4). Let v = 3 + n. What is the remainder when o is divided by v?
3
Let o be (-12)/(-8)*8/(-6). What is the remainder when 23/1 + 4/2 is divided by (20/8 + o)*18?
7
Let t(l) = l**2 + 6*l + 6. Let i(y) = y**2 + 5*y + 5. Let q(w) = 4*i(w) - 3*t(w). Suppose -2*o + 20 = 2*o. What is the remainder when q(o) is divided by 13?
11
Let s(d) = -d**2 + 23*d - 102. Calculate the remainder when 490/18 + 4/(-18) is divided by s(16).
7
Suppose 1 - 16 = -5*a. Suppose 3 = a*l - 2*l. Suppose 5*s = -3*j - 0 + 169, l*s - 108 = -4*j. Calculate the remainder when s is divided by 11.
10
Suppose -49 = -2*y + 21. Suppose 0 = 3*l - 8*l + 60. Calculate the remainder when y is divided by l.
11
Suppose -13*k + 16*k - 444 = 0. What is the remainder when k is divided by 30?
28
Let h(u) = u**2 - 3*u + 4. What is the remainder when 94 is divided by h(7)?
30
Let y = 14 + -22. Let s = y + 18. Calculate the remainder when 19 is divided by s.
9
Let w(f) = -8*f**2 - 5 + 0 - 6*f - f**2 - 8 - f**3. Calculate the remainder when w(-9) is divided by 21.
20
Suppose 5*l - 203 - 32 = 0. Suppose -l + 17 = -2*p. Suppose -2*i = -i - p. Calculate the remainder when 43 is divided by i.
13
Let n(u) = u**2 + 9*u + 8. Calculate the remainder when n(-10) is divided by 5.
3
Let o(j) = j**2 + 2*j + 3. Suppose -2*s + 4 = -4*p + 2, -3*p = s + 9. Let f(c) = -4*c - 1. What is the remainder when f(-3) is divided by o(s)?
5
Let b = 7 + -2. Let p = 11 + -6. Suppose -p*j + b = -10. What is the remainder when j is divided by 2?
1
Let s be 2 + -1 + 1 + 0. Let b be -1 - (-2*s + 3). Calculate the remainder when 3 is divided by b - (0 - -9)/(-3).
0
What is the remainder when (584/12 - 2)*3 is divided by 29?
24
Let o(x) be the first derivative of x**2/2 - x - 12. Let a = 5 + -2. What is the remainder when o(a) is divided by 2?
0
Let j be (-6)/(-4)*(-6)/(-9). Let a(o) = 103*o**2 + 1. Let v be a(j). Suppose p = 3*p - v. Calculate the remainder when p is divided by 18.
16
Let s = 53 + -41. Calculate the remainder when 215 is divided by s.
11
Let g = 7 + -5. Suppose -2*l + g*u = -18, -6 = -l - l - 2*u. Calculate the remainder when 33 is divided by 477/27 + (-4)/l.
16
Suppose 0 = -7*d + 145 - 54. Calculate the remainder when 114 is divided by d.
10
Suppose 41 = -2*j + 1. Let y = j - -31. Calculate the remainder when 30 is divided by y.
8
Let b = 24 - 16. Calculate the remainder when b is divided by 5.
3
Suppose 15 = r - 3*w - 6, 0 = r + 5*w - 5. Calculate the remainder when 44 is divided by r.
14
Suppose -4*l = -6*l + 112. Suppose 3*b = b + l. Calculate the remainder when b is divided by 10.
8
Suppose 2 = 3*w - 4. Suppose -4*n + 3*c - w*c = -51, -4*n - 5*c = -57. Let u = 47 - n. Calculate the remainder when u is divided by 12.
10
Let x(i) = -i**3 - 9*i**2 + i + 12. Calculate the remainder when 7 is divided by x(-9).
1
Let k(v) = v**2 + 5*v + 9. Let s(a) = a + 71. Let i be s(0). Let b = i + -42. What is the remainder when b is divided by k(-6)?
14
Let o = 32 + 38. Calculate the remainder when o is divided by 32.
6
Suppose r = -k - 2*r + 75, 0 = 3*k - 4*r - 238. What is the remainder when k is divided by 20?
18
Let u = 9 - 1. Let q be u/(-3)*(-6)/4. Suppose 0 = -9*g + 4*g + q*j + 30, 5*g + 4*j = 70. Calculate the remainder when 18 is divided by g.
8
Let q(l) = -l**3 - 1. Let a(z) = -3*z + 27. Calculate the remainder when a(3) is divided by q(-2).
4
Let k(w) = -w**3 - 3*w**2 + w + 2. Suppose z = 2*z + 4. Suppose 4*s - 5*m = 10, 4*m = 3*s - 5 - 2. Calculate the remainder when k(z) is divided by s.
4
Suppose -3*h + 4*s + 43 = 6*s, -3*s = 3. Calculate the remainder when 44 is divided by h.
14
Let d = -11 + 24. Calculate the remainder when d is divided by (-1 - -2)*-1*-7.
6
Let w(o) = o**3 - 7*o**2 + 3*o - 4. Let x be w(6). Let y = 23 + x. Calculate the remainder when 2 is divided by y.
0
Suppose 5*j - 31 - 24 = 0. Let l(z) = z - 2. Let f(u) = -3*u + 5. Let k(x) = 6*f(x) + 17*l(x). What is the remainder when j is divided by k(-8)?
3
Let t(i) = i**3 - 9*i**2 + 9*i + 14. What is the remainder when 195 is divided by t(8)?
19
Let b(y) = 2*y**3 - 3*y**2 - 3*y + 3. Suppose -4*p - p = -3*u - 296, 0 = 3*p + 2*u - 189. What is the remainder when p is divided by b(3)?
19
Let i = 54 + 12. What is the remainder when i is divided by 34?
32
Let n(u) = -61*u. Let o be n(-1). Let k = o - 41. Suppose 4*t - 2*t - 76 = 0. Calculate the remainder when t is divided by k.
18
Let b(s) = 6*s - 12. Let y(g) = 2*g**2 + 2*g - 6. Suppose -3*m + 7*m + 20 = 0. What is the remainder when y(m) is divided by b(5)?
16
Let c(z) = z**3 + 5*z**2 + 5*z + 1. Let d be c(-4). Let p = d - -8. Calculate the remainder when 12 is divided by p.
2
Let f = -11 + 8. Let w be (-5)/15 - 1/f. Let u(o) = o**2 + o + 41. What is the remainder when u(w) is divided by 14?
13
Let h = 25 + -10. Calculate the remainder when (h/10)/(9/60) is divided by 6.
4
Calculate the remainder when 49 is divided by 2 - (-5)/((-10)/(-48)).
23
Suppose -47*b + 52*b = 95. Let c = -132 + 206. Calculate the remainder when c is divided by b.
17
Suppose d + 8 = -0. Let n = d + 11. Suppose -p - 64 = -4*v, -3*p + n = 5*v - 4*v. What is the remainder when 28 is divided by v?
13
Let l = 42 + -19. Calculate the remainder when l is divided by 6.
5
Let s(p) = 2*p**2 - p - 2. Let u be ((-6)/(-10))/((-4)/20). Let d(o) = -2*o**3 - 5*o**2 - o + 3. What is the remainder when s(5) is divided by d(u)?
13
Let p(d) = d**3 - 21*d**2 + d + 57. What is the remainder when p(21) is divided by 29?
20
Let i = -10 + 27. Calculate the remainder when i is divided by 9.
8
Let w be (-2)/(-4)*(2 - 2). Let g = -5 - -12. Suppose -4*d + g*d - 69 = w. Calculate the remainder when d is divided by 12.
11
Suppose -16 - 20 = 4*f - 4*v, 0 = 4*f + 5*v + 18. Let j(b) = -4*b - 6*b - 1 + 2*b**2 - 3*b**2. What is the remainder when 38 is divided by j(f)?
18
Let o be 2/(-2 + 40/22). Let v be 4/(1 + (-220)/228). Calculate the remainder when 14 is divided by 2/o + v/22.
4
Suppose 4*v - 46 = 102. Let d = 98 - 46. Suppose -2*o = 2*o - d. What is the remainder when v