4). Suppose 0 = -3*c + 3, 2*k + 3*c + 32 = v. Calculate the remainder when k is divided by 8.
7
Let f = 2 + -2. Suppose 0 = -4*w - r + 64, 25 + f = 3*w - 5*r. Calculate the remainder when 29 is divided by w.
14
Let q(c) be the first derivative of -3*c**2 + 5*c - 4. Let o be q(-4). Let t = o + -9. What is the remainder when t is divided by 7?
6
Let a(n) = 2*n + 6. Suppose 5*d - 34 - 1 = 0. What is the remainder when a(7) is divided by d?
6
Let h(q) = -2*q - 2. Let r be h(-4). Suppose 66 - r = 3*a. Calculate the remainder when 77 is divided by a.
17
Let b = -40 - -55. Calculate the remainder when b is divided by 6.
3
Let z(p) = -p**3 + 11*p**2 - 4*p - 1. Let n = -29 - -44. What is the remainder when z(10) is divided by n?
14
Suppose -20 = -b + 2*p, 4*b = 2*p - 25 + 87. Let j = -6 + b. What is the remainder when 31 is divided by j?
7
Let q be (-2 - (-3)/2)*-2. Suppose q - 69 = -2*p. Calculate the remainder when p is divided by (9/2)/(3/8).
10
Let j(z) = -2*z + 7. Let s be j(5). Calculate the remainder when (-3)/(-12) - 46/(-8) is divided by ((-9)/s)/(-3)*-4.
2
Suppose 5*z = -2*t + 50, 2*z + z = -4*t + 86. Suppose -l + 2*p + 10 = -0*p, 0 = 2*l + 3*p - t. Calculate the remainder when 48 is divided by l.
8
Suppose 0 = -w - 2*w + j + 39, -w = 5*j - 29. Calculate the remainder when w is divided by 1.
0
Let i(t) = -t**3 + 5*t**2 - t. Suppose 4 + 2 = q. Suppose 0 = -a + 2*a - q. What is the remainder when i(2) is divided by a?
4
Let i(z) = z**3 + 10*z**2 + 9*z - 3. Let m be i(-7). Suppose -m = -4*g - t, -g + 44 = 4*t + t. What is the remainder when g is divided by 10?
9
Let p = -47 - -95. Suppose -5*t + p + 92 = 0. Calculate the remainder when t is divided by 4/3*(-15)/(-2).
8
Let a(t) = t**3 - t**2 - 24*t + 4. Calculate the remainder when a(6) is divided by 14.
12
Let c = 27 - 23. What is the remainder when 6 is divided by c?
2
Let w = 17 - -1. Let b be (-2)/9 + 238/w. Let y = b - 6. What is the remainder when y is divided by 2?
1
Let u = 20 - -11. Calculate the remainder when u is divided by 8.
7
Let w be 2/((-7)/((-35)/2)). Suppose 0 = -w*n + 43 + 2. Calculate the remainder when 25 is divided by n.
7
Let m = 13 - 9. Suppose -a + m*a = 81. Suppose -3*h + a = -g, 3*g = h + 2*h - 27. What is the remainder when 26 is divided by h?
8
Suppose -3*f + 4*f - 2*z = -1, 0 = -5*z + 10. Suppose -2*p + 6*p - 8 = 0. What is the remainder when f is divided by p?
1
Let t = -51 - -58. Calculate the remainder when 10 is divided by t.
3
Suppose -63 = -3*o + 3*j, j - 6 + 44 = 2*o. Calculate the remainder when 84 is divided by o.
16
Suppose 0 = t + 9 - 3. Let i(l) = l**2 - l - 7. Let p(k) = k**3 - 16*k**2 + 16*k - 3. What is the remainder when i(t) is divided by p(15)?
11
Let w = -2 - -5. Suppose -w - 7 = -5*s. Calculate the remainder when 23 is divided by 50/6 + s/(-6).
7
Let r(k) = 4*k - 3. Let z(g) = -g + 1. Let c(i) = -2*r(i) - 9*z(i). Let w = 16 + -10. Calculate the remainder when 8 is divided by c(w).
2
Suppose 3*a = -3*h + 87, 0 = 2*h + 3*h + 2*a - 133. Calculate the remainder when 48 is divided by h.
23
Suppose 5*s + 8 = 38. Suppose 5*v = -5*n + 65, -n + s = -4*n. Calculate the remainder when 59 is divided by v.
14
Suppose 0 = 2*y - 3*y. Suppose -4*s + h + 47 = -y*h, 4*s - 57 = -h. What is the remainder when (1 - 79)/(-2) + -2 is divided by s?
11
Let j(l) = 11*l**3 + 1. Calculate the remainder when 35 is divided by j(1).
11
Let p(q) = 7*q**3 - 5*q**2 + 7*q - 4. Let a = -1 - -1. Suppose 0 = -a*v - 4*v + 64. Calculate the remainder when p(2) is divided by v.
14
Suppose 0 = -4*q + 113 - 33. Let w = q - 7. What is the remainder when 50 is divided by w?
11
Suppose -i = -4*k - 24 + 103, 2*k = 2*i + 38. Calculate the remainder when k is divided by 7.
6
Let l = 2 - 30. Let i = 10 - -6. What is the remainder when (-832)/l + 4/14 is divided by i?
14
Suppose -5*h + 56 - 16 = 0. Calculate the remainder when 62 is divided by h.
6
Let w = -48 + 57. Let i = 1 + 2. Let z = i + 2. What is the remainder when w is divided by z?
4
Suppose 0 = -4*q + q + 3. Calculate the remainder when 25 is divided by q/(-1)*(-17 - -3).
11
Suppose 3*z - 13 = 80. Calculate the remainder when z is divided by 16.
15
Let g(l) = 14*l - 3. Suppose 3*r - 94 = 5*q, -4*q = 5*r + q - 130. What is the remainder when g(6) is divided by r?
25
Suppose -4*y + 20 = -20. Suppose 0 = -j + 20 + 18. What is the remainder when j is divided by y?
8
Let n(b) = b + 31. Calculate the remainder when 90 is divided by n(-18).
12
Let c(g) = g**2 - 6*g + 7. What is the remainder when ((-954)/45)/((-2)/5) is divided by c(7)?
11
Suppose -31 = 3*v - 2*r, -r = 5*v + 46 - 16. Let j(y) = -y**3 - 7*y**2 - 4*y + 7. Calculate the remainder when j(v) is divided by 9.
8
Let z be 3*(1*-2 + 1). Let c(b) = -12*b + 12. Let a(i) = -8*i + 8. Let r(h) = 8*a(h) - 5*c(h). Calculate the remainder when r(z) is divided by 6.
4
Let o(d) = 4*d**2 + 5*d - 10. What is the remainder when o(-5) is divided by 17?
14
Let z(r) = -3*r - 9. Let v = 0 - -4. Let f(s) = 13*s - 5. Calculate the remainder when f(v) is divided by z(-7).
11
Suppose 2*z = 6*z. Suppose 4*s + 2*r + z*r - 36 = 0, 2*r = -2*s + 16. Let t = s + -4. Calculate the remainder when 22 is divided by t.
4
Let r = 8 + -7. Let c(a) = 7*a**3 - 1. Calculate the remainder when 10 is divided by c(r).
4
Suppose 50 = 4*p + 5*l + 7, 2*p - 19 = -3*l. Let d = -34 + 53. Let x = -14 + d. Calculate the remainder when p is divided by x.
2
Suppose 2*u = 1 + 1. Let j(c) = -c**3 - 11*c**2 - 8*c + 14. Let g be j(-10). Calculate the remainder when u is divided by g/(-4)*10/15.
0
Suppose -1 = -h, 0*y + y - 26 = -3*h. Suppose 2*f - 2*m = 16, 4*f + 3*m = 4*m + 32. Calculate the remainder when y is divided by f.
7
Let u(y) = -4*y - 1. Let v be u(-1). Suppose 8 + 4 = v*x. Suppose -f - 2*l + 20 = 0, 4*l - 24 = -x*f + 44. Calculate the remainder when f is divided by 5.
4
Let l be (0/(0 - -3))/(-1). Let t be (l - -9)/((-3)/(-9)). Suppose -2*o - o - 3*z = -18, 0 = 4*o + 5*z - t. Calculate the remainder when 6 is divided by o.
0
Suppose 0 = 4*s + y - 11, 4*s - y = -3*y + 14. What is the remainder when s is divided by 1?
0
Suppose -37 = -w - 12. Calculate the remainder when w is divided by 7.
4
Suppose -4*g - g = 2*p - 119, -116 = -5*g - 3*p. Suppose 0*o = 4*o - 52. What is the remainder when g is divided by o?
12
Let h(d) = -4*d - 5. Let m(u) = 2*u + 6. Let z be m(5). Suppose 0 = o + o - z. What is the remainder when h(-5) is divided by o?
7
What is the remainder when 35 is divided by -2*3/6*(-2 + -16)?
17
Suppose -8*f = -577 - 15. Calculate the remainder when f is divided by 25.
24
Suppose c = 4*s + s - 102, 2*c = -3*s + 69. Calculate the remainder when s is divided by 5.
1
Calculate the remainder when 69 + 15/((-15)/3) is divided by 23.
20
Calculate the remainder when -4 + 2 + (221 - 2) is divided by 55.
52
Let p(g) = g - 1. Let o(c) = -3*c - 3. Let d(u) = o(u) - 3*p(u). What is the remainder when d(-1) is divided by 4?
2
What is the remainder when -28*((0/(-1))/4 + -1) is divided by 15?
13
Suppose -75 = w - 6*w. What is the remainder when w is divided by 4/(2/(-7) - (-11)/14)?
7
Let b be 11/(-3) + 12/18. Calculate the remainder when (-1584)/(-40) - b/(-5) is divided by 10.
9
What is the remainder when 247/7 - 1/(-14)*-4 is divided by 18?
17
Let g be 1/3*(4 + -1). Suppose -6 = -0*w + 3*w. What is the remainder when 25 is divided by (w + 2 + g)*9?
7
Suppose 121*m = 124*m - 405. What is the remainder when m is divided by 34?
33
Let u(m) = -2*m + m**2 + 2*m + 2*m**3 - 3*m**3 + 2*m. What is the remainder when u(-3) is divided by 16?
14
Let b(s) = s**2 - 4*s + 4. Let q be b(4). What is the remainder when (11/q)/((-2)/(-8)) is divided by 4?
3
Let w(m) = -m**2 + 10*m + 15. Calculate the remainder when 59 is divided by w(8).
28
Suppose -f = -0 + 2. Calculate the remainder when 32 is divided by 6 + 3 - (f + 0).
10
Suppose -4*t + 4 = 0, o + 3*t = 42 + 35. What is the remainder when o is divided by 38?
36
Let q(y) = 3*y**2 - 5*y - 3. What is the remainder when 72 is divided by q(4)?
22
Let t(g) = -g**3 + 6*g**2 - 4*g + 3. Let n = -7 + 11. Calculate the remainder when t(2) is divided by n.
3
Let n(m) = 40*m**2 + m. Let p(b) = -4*b - b - 1 + 2*b. Calculate the remainder when n(1) is divided by p(-5).
13
Let l = 4 + -3. Let r(n) = 16*n*