16
Suppose -181 - 218 = -7*j. What is the remainder when j is divided by 12?
9
Suppose -t + 6 = z - 40, 138 = 3*z - 4*t. Calculate the remainder when z is divided by ((-18)/4)/((-24)/64).
10
Suppose 2*b - b = 0, 2*d = 4*b + 130. Suppose 0 = -4*m + 139 + d. Calculate the remainder when m is divided by 13.
12
Let v(w) = 2*w**2 - 2*w - 1. Suppose -5*t = -6*t + 2. What is the remainder when v(-1) is divided by t?
1
Let k(c) = c**3 - 3*c**2 - 3*c + 13. Calculate the remainder when 100 is divided by k(0).
9
Suppose -3*p + t + 185 = 13, -4*p - 2*t = -216. Calculate the remainder when p is divided by 31.
25
Let b = 6 - 0. Let c(p) = -p**3 + 4*p**2 + 4*p + 8. Let x be c(b). Let r = 58 + x. What is the remainder when 34 is divided by r?
16
Suppose 2*n = 31 + 55. Calculate the remainder when n is divided by 23.
20
Suppose -2*n + 32 = 2*n. What is the remainder when (30/(-8))/((-1)/4) is divided by n?
7
Let t = 21 - 14. Let m(d) = 8 + 42*d + 7*d**2 - d**3 - 42*d. What is the remainder when 15 is divided by m(t)?
7
Let b(r) = 4*r - 1. Let d be (8 - 7)/((-2)/(-4)). Let a = 51 + -32. What is the remainder when a is divided by b(d)?
5
Suppose -2*c = 2*c - 164. Let m(a) = 10*a - 8. Calculate the remainder when c is divided by m(3).
19
Let n(l) = 10*l**2 + 3*l + 2. What is the remainder when n(4) is divided by 35?
34
Let w = 18 - 11. Calculate the remainder when 23 is divided by w.
2
Suppose -4*m + 70 + 22 = 0. Let i = 7 + 1. What is the remainder when m is divided by i?
7
Suppose 3 + 3 = -f. Let g = 8 + f. Calculate the remainder when 2 is divided by g.
0
Calculate the remainder when 1/((-2)/(-190)) - -4 is divided by 34.
31
Let m = -20 + 43. Calculate the remainder when 67 is divided by m.
21
Let z = -7 - -19. Let v = z + -7. Calculate the remainder when 8 is divided by v.
3
Suppose -m + 20 = 4*m. Suppose -m*p + 62 = 22. Calculate the remainder when 37 is divided by p.
7
Let h = 30 - 1. Let i be 0/2 - (-8)/2. Calculate the remainder when h is divided by (-1 + i)*(0 + 5).
14
Suppose -20 = -3*b + 28. Calculate the remainder when b is divided by 9.
7
Let z(x) be the first derivative of -x**4/4 + 4*x**3/3 + x**2/2 + 2*x + 3. Suppose 4*i = -i + 200. Calculate the remainder when i is divided by z(3).
12
Let b(a) = -a**3 - 6*a**2 - 7*a - 1. What is the remainder when b(-5) is divided by 6?
3
Suppose 2*r - 6*r + 4*v + 44 = 0, -4*v - 5 = -r. Let j(n) = n**3 + 5*n**2 - 3*n - 8. What is the remainder when r is divided by j(-5)?
6
Suppose 0 = -5*d + 5*g + 5, -2*g = -d - 0*g + 2. Suppose -4*w - 37 - 3 = d. Let r(n) = -n + 6. Calculate the remainder when 30 is divided by r(w).
14
Let k(q) = q**2 - 3*q - 1. Let u be k(4). Suppose -m + 60 = u*m. Calculate the remainder when 42 is divided by m.
12
Let g(c) = c**2 + 5*c - 6. Let q be g(-5). Let w = 9 + q. Calculate the remainder when w is divided by 2.
1
Calculate the remainder when 80 is divided by 6/18*3*43.
37
Let h = 97 - 77. Calculate the remainder when 59 is divided by h.
19
Let z(r) = r**2 + r - 1. Suppose 3*q - 7 - 49 = -s, -5*s - 40 = -q. What is the remainder when q is divided by z(-4)?
9
What is the remainder when 1*(-4 - -1) - -69 is divided by 10?
6
Let u = -13 + 50. What is the remainder when u is divided by 10?
7
Suppose -3*a = -o - 2*o + 54, -o + 18 = -4*a. Calculate the remainder when 32 is divided by o.
14
Let a = 34 - 18. Let k = -2 + a. Calculate the remainder when 40 is divided by k.
12
Let y = 10 - 6. Suppose -2*a = 3 + 1. Let k = 3 - a. Calculate the remainder when k is divided by y.
1
Let v = 48 - 33. Calculate the remainder when 28 is divided by v.
13
Let w(y) = -y**3 + 7*y**2 - 3*y + 6. What is the remainder when w(5) is divided by 14?
13
Let d = -18 - -29. Suppose 9 = 4*j - 7. Suppose 0 - j = -k. What is the remainder when d is divided by k?
3
Let s = 7 - -1. What is the remainder when (-4)/14 + 321/21 is divided by s?
7
Suppose 0 = -0*l + 5*l - 105. Calculate the remainder when l is divided by 14 - (-7 + 15 - 7).
8
Let y(p) = -p**3 + 7*p**2 + 9*p - 6. Let i be y(8). Suppose 0 = -i*m + 47 - 1. Calculate the remainder when 44 is divided by m.
21
What is the remainder when (-17 + (-4)/(-1))/(-1) is divided by 2 + -1 - -3*1?
1
Let f = 35 - 9. What is the remainder when f is divided by 14?
12
Let j = -16 - -30. What is the remainder when j is divided by (-1 - 4/(-1)) + 2?
4
Suppose 3*g - 1 = 2*g. Suppose g = -i + 11. Calculate the remainder when i is divided by (-2)/(2*(-2)/8).
2
Let q be 4/4 - (-1 - -3). Let j be -1 - -4 - (1 + q). Suppose n = -m + 7, n + n = j*m + 19. Calculate the remainder when n is divided by 3.
2
Suppose -126 = 3*l - 162. Calculate the remainder when 22 is divided by l.
10
Suppose o - 2*f - 13 = 0, -2*f = 15*o - 12*o - 31. What is the remainder when 17 is divided by o?
6
Let z(j) = j**2 - j. Suppose 4*c = c + 21. What is the remainder when z(5) is divided by c?
6
Suppose 5 - 1 = x. Suppose -x*h + 103 = 35. What is the remainder when h is divided by 5?
2
Suppose 5*j + j = 96. What is the remainder when 61 is divided by j?
13
Let z(j) = -j - 1. Suppose -3*k + 0*k + 3 = 0. Suppose 0 = -2*v - k - 9. Calculate the remainder when 7 is divided by z(v).
3
Suppose -4*u + 0*u + 66 = 2*q, -4*u = q - 65. Calculate the remainder when 62 is divided by u.
14
Calculate the remainder when 35 is divided by -3 + ((-8)/12 - 29/(-3)).
5
Suppose -q + 2*r = q - 8, 5*q = -2*r + 41. Let z = -2 - q. Let x(d) = -3*d + 10. What is the remainder when x(z) is divided by 19?
18
Calculate the remainder when 72 is divided by 52/2 - (-1 - (-3 - -1)).
22
Let t = -4 - -47. Let a = 4 - 5. Let y(b) = -15*b**3 + b**2 + 2*b + 1. What is the remainder when t is divided by y(a)?
13
Suppose -4*z + 4*y = -28, 17 = 5*z - 4*y - 14. Suppose 0 = -p - 3*p + 4. Calculate the remainder when ((-2)/(-10))/(z/15) is divided by p.
0
Suppose 4*b + 2*p + 79 = 329, 0 = b + 5*p - 85. Suppose 2*c - f = -0*f + 39, 5*c + 5*f = b. Calculate the remainder when 33 is divided by c.
16
Suppose m = 4*i + 11 + 9, 2*m = -5*i - 25. Suppose 2*o + m*o - 12 = 0. What is the remainder when o is divided by 3?
0
Let j(n) = -n**2 + 27*n - 57. Calculate the remainder when j(23) is divided by 18.
17
Suppose 0 = 5*a - 95 - 140. What is the remainder when a is divided by 16?
15
Suppose -4*u = -3*d + 26, -d - u + 2 = u. Calculate the remainder when 19/(2/d*3) is divided by 10.
9
Let r(d) = 2*d - 10. What is the remainder when r(12) is divided by 5?
4
Let f(g) = -g**3 + 4*g**2 + 8*g - 6. What is the remainder when 33 is divided by f(5)?
6
What is the remainder when 55 is divided by (19/(-4))/(5/(-20))?
17
Let b(v) be the third derivative of 1/6*v**3 + 1/120*v**6 - 1/20*v**5 + 0*v + 0 - v**2 - 1/6*v**4. What is the remainder when b(5) is divided by 16?
15
Suppose -2*a = w + 2*w - 71, -w + 5*a = -52. Let q = w - 24. Calculate the remainder when 5 is divided by q.
2
Suppose -5*t + t - 28 = -k, 5*k + 4*t = 164. What is the remainder when k is divided by 9?
5
Suppose 13 = 3*r - 95. Suppose 0 = -4*o + r. Calculate the remainder when 25 is divided by o.
7
What is the remainder when (1 + 13)/(3/15) is divided by 24?
22
Let n(l) = 2*l**2 - l - 1. Let q(v) = 2*v**2 - v - 1. Let u(a) = 5*n(a) - 4*q(a). Calculate the remainder when 40/12*(13 - 1) is divided by u(3).
12
Let x(w) = -6*w - 29. What is the remainder when 128 is divided by x(-12)?
42
Let f = 1 + 2. Suppose -f*q + 38 - 1 = 5*h, -16 = -2*q + h. Calculate the remainder when 17 is divided by q.
8
Suppose 20 - 8 = -4*z. Let d be (-2)/(-8) + z/(-4). Suppose 3*m - d = 11. What is the remainder when m is divided by 3?
1
Let b(w) = w - 1. Let j be b(-3). What is the remainder when ((-2)/j)/(5/310) is divided by 16?
15
Suppose -3*s + 20 = -s. Suppose -s = 3*b - 5*b. What is the remainder when 9 is divided by b?
4
Let q be (-54)/(-13) - 4/26. Suppose 0*i + q*i - 12 = 0. Suppose -46 = -i*k - k - 2*l, k + 4*l - 22 = 0. Calculate the remainder when 19 is divided by k.
9
Let k be (-1)/4 + 100/16. Calculate the remainder when 7*(-9)/k*-2 is divided by 11.
10
Let t be ((-8)/(-3))/((-4)/(-6)). Suppose t*v + 5*n - 120 = 0, 2*v + 2*n = -3*v + 133. What is the remainder when v is divided by 13?
12
Suppose -6*s = -s + 15. Let v be 0/(s/(-6)*-2). Suppose 12 = 2*z - v*z. What is the remainder when z is divided by 4?
2
Let u = 4 + -1