-12. Let c = 25 + -17. Calculate the remainder when x is divided by c.
6
Suppose 95 = -5*i + 5*u, u - 10 - 81 = 4*i. Let j = i + 46. Suppose -j = -f - 4. Calculate the remainder when 33 is divided by f.
15
Let x(z) = -2*z**3 - 6*z**2 - 5*z - 18. What is the remainder when x(-6) is divided by 23?
21
Suppose -6*b + 50 + 136 = 0. What is the remainder when b is divided by 11?
9
Let a(m) be the third derivative of -1/3*m**3 - 1/12*m**4 + 0 - m**2 - 1/120*m**6 + 0*m - 1/10*m**5. What is the remainder when 18 is divided by a(-6)?
8
Let j = 7 + -3. Let k = 4 - -3. Suppose k = -3*d + j*d. What is the remainder when d is divided by 3?
1
What is the remainder when 7 is divided by (-6)/9*(0 + -3)?
1
Suppose 2*p - 5*o = 40, 0 = 5*p - 7*o + 3*o - 66. What is the remainder when 48 is divided by p?
8
Let q = -5 - -9. Suppose 80 = 6*x - x. Suppose -2*d - 2*d = 5*p - 15, 4*d + 4*p = x. What is the remainder when d is divided by q?
1
Let d = -13 - -4. Let p = 113 - 88. What is the remainder when p is divided by 0/(0 + -1) - d?
7
Let z(f) = f**3 + 7*f**2 + 2*f + 4. Let k(u) = -u**3 - 5*u**2 - 2*u**2 + 10 - u + u. What is the remainder when z(-6) is divided by k(-7)?
8
Let g be (1 - 0)/((-4)/(-16)). Suppose -m - 2*l + 4 = m, -g*l = 5*m - 7. Let c = m + 6. What is the remainder when 9 is divided by c?
4
Suppose 0 = -5*c + 23 + 12. Let u(s) = s**2 + 13*s - 23. Calculate the remainder when u(-16) is divided by c.
4
Let d be 3*-7*(-12)/(-9). Let s be d/(-3) - 6/(-9). Suppose -2*j = 2*k - s, -2*j + 15 = 3*j. What is the remainder when 2 is divided by k?
0
Let q = 8 - 7. What is the remainder when q is divided by ((-2)/(-4))/(1/2)?
0
Let k(x) = 5*x**2 - x. Let r be k(1). Suppose -4*p + 2*y = -0*y - 40, y - 34 = -r*p. What is the remainder when 26 is divided by p?
8
Suppose 0*n = 2*n - 22. Suppose 4*z + 79 = 5*q - 130, -4*q - 5*z + 159 = 0. What is the remainder when q is divided by n?
8
Let s = -11 - -26. Let c = 144 + -86. Calculate the remainder when c is divided by s.
13
Let k(x) = -4*x - 25. What is the remainder when k(-13) is divided by 8?
3
Suppose 2 = 2*i - 6. Calculate the remainder when 0/i + -3 + 38 is divided by 18.
17
Suppose -7 + 58 = 3*b. Calculate the remainder when 32 is divided by b.
15
Suppose -5*g = -j + 18, -j + 2*j + 3*g = -6. Calculate the remainder when 12 is divided by j.
0
Let c be (-2 + 2)/(-4 + 3). Suppose -4*j - 4*x + 3*x + 150 = c, 0 = -3*j + 4*x + 103. Calculate the remainder when j is divided by 19.
18
Let t be 119/3 + (-2)/(-6). Suppose 4*f = 2*s + 3*s - 24, 2*f = -4*s + t. Calculate the remainder when 21 - 2*(-2 + 1) is divided by s.
7
Let x = -50 - -75. Suppose 3*r - 8*r + x = 0. Suppose -u = -y + 2*y - 2, -3*u = r*y - 2. What is the remainder when 11 is divided by u?
3
Suppose -2*p + 87 = -115. Calculate the remainder when p is divided by 36.
29
Let y(d) = -2*d**2 + 28*d - 11. Calculate the remainder when 23 is divided by y(13).
8
Let b = -27 + 50. Let i = -129 + 219. What is the remainder when i is divided by b?
21
Suppose 17 = w - 24. Let y = 18 + w. Calculate the remainder when y is divided by 15.
14
Suppose 0 = -4*y - 0*y + 52. Let x be (-110)/4*(-42)/35. Let a = x - y. Calculate the remainder when 38 is divided by a.
18
Let q = 2 + 11. Let f(z) = z. Let l be f(2). Suppose 5*h - 112 = 2*o, -o - l*o - 84 = -4*h. Calculate the remainder when h is divided by q.
11
Let z(n) = -n**3 - 9*n**2 - 10*n - 12. Calculate the remainder when 9 is divided by z(-8).
1
What is the remainder when 90 is divided by (2/(-3))/((-4)/186)?
28
Let o be 10/(-4)*(-1 - 1). Suppose o*z - 74 = -2*g + g, -g = -4*z - 29. What is the remainder when g is divided by 17?
15
Suppose -5*r + 25 + 5 = 0. Let q = 3 + r. What is the remainder when 25 is divided by q?
7
Let k(y) = -2*y**2 + 7*y - 14 - y**3 + 7*y**2 + 22. Calculate the remainder when 25 is divided by k(6).
11
Let a be (2/2)/(4/16). Suppose 1 = i - a. What is the remainder when 14 is divided by i?
4
Let d be 3 - (-1)/(1/(-1)). What is the remainder when 48 - -3 - d/2 is divided by 26?
24
Suppose -m - s + 22 = 2*s, -2*s - 6 = 0. What is the remainder when 90 is divided by m?
28
Suppose 5*y - 8 = 147. What is the remainder when y is divided by 8?
7
Let h(i) = i. Let k be h(-3). Let x = -22 + 13. Let r = k - x. Calculate the remainder when 11 is divided by r.
5
Let t = 2 + 2. Let w(i) = -i + t - i + 0*i. What is the remainder when 18 is divided by w(-3)?
8
Let g(w) = 4*w**2 + 2*w. Let v be g(2). Suppose -2*r = -3*r + v. What is the remainder when 39 is divided by r?
19
Let v = 10 - 3. Let n = 7 - 4. Suppose m + 3*m - 4*a = 84, n*m = -a + 59. Calculate the remainder when m is divided by v.
6
Suppose -78 = -3*p + 3*a, -53 = 4*p + 5*a - 202. What is the remainder when p is divided by (3/(-6))/(2/(-44))?
9
Let t(k) = 3 - 3 + k**2 + k. Suppose 3*j - 2*j - 3*z + 5 = 0, 0 = -5*j - 4*z + 13. What is the remainder when 5 is divided by t(j)?
1
Let j be (2/(-6))/(11/(-66)). Suppose -5*q + x + 116 = -x, -4*x - 56 = -j*q. Calculate the remainder when q is divided by 12.
10
Let s(y) = 2*y**2 - 8*y - 3. Suppose -3*v - 2*v = -4*r - 104, 3*r = 4*v - 83. Calculate the remainder when v is divided by s(5).
6
Suppose -10 = -2*z, -2*z = 4*q + z - 51. Let j = 3 - 1. Calculate the remainder when 27 - (3 + (0 - j)) is divided by q.
8
Suppose -s + 2*s = 66. Suppose -8*c - 19 = -155. Calculate the remainder when s is divided by c.
15
Let i(n) = 3*n - 18. What is the remainder when i(8) is divided by 3?
0
Suppose -86 - 52 = -3*o. Calculate the remainder when 134 is divided by o.
42
Let z = 7 - 5. Suppose z*u = -u + 18. Suppose 6 = -c + 2*l, 5*c - 2*l + 4 - 14 = 0. What is the remainder when u is divided by c?
2
Let f = 5 - -33. Let k = f + -25. What is the remainder when 24 is divided by k?
11
Suppose -175 = -4*t + 45. What is the remainder when t is divided by 19?
17
Let s = -172 - -251. Let r = -50 + s. What is the remainder when r is divided by 10?
9
Let n(s) = 6*s**2 + s - 51. Let k(f) = f**2 - 10. Let i(u) = -11*k(u) + 2*n(u). What is the remainder when i(-6) is divided by 11?
10
Let t be (6/2)/(3/(-22)). Let m = t + 36. Calculate the remainder when 55 is divided by m.
13
Suppose 4*x - 46 = 62. Let s = -7 + 12. Suppose -4*p = 2*j - 62, 2*p = -0*p - s*j + x. Calculate the remainder when p is divided by 6.
4
Let q be ((-6)/15)/(1/10). Let i(x) = -x - 3. Suppose h - 2*f + 1 = 0, -5*f - 1 = -3*h - 3*f. Calculate the remainder when h is divided by i(q).
0
Suppose 5*g = -4*n + 63, -5*n + 5*g + 135 = -0*g. Calculate the remainder when 41 is divided by n.
19
Let n(z) = -z**2 - 4*z + 4. Let a be n(-4). Let s be 22 - (-4)/(a/(-2)). Suppose 25 + s = 5*k. Calculate the remainder when k is divided by 5.
4
Let q(j) = j**2 - 17*j - 16. What is the remainder when 4 is divided by q(18)?
0
Let o(t) be the second derivative of -t**5/20 - 5*t**4/12 + t**3 + 3*t**2/2 - t. Calculate the remainder when 6 is divided by o(-6).
0
Suppose 132 - 32 = 5*a. Calculate the remainder when a is divided by 12.
8
Suppose 0 = -2*w + 18 + 2. Let o = w + 6. Let p = 45 + 1. What is the remainder when p is divided by o?
14
Let k be 4 - 12/(2 - 5). Let r(s) = s**2 + 3*s - 5. Calculate the remainder when r(4) is divided by 4 + k/4 + 6.
11
Let r(d) = -d**2 + 5*d - 3. Let c be r(6). Let g = -9 + 18. What is the remainder when g is divided by (-30)/(-4)*(-6)/c?
4
Suppose -3*d = -d - 8. Let l = 29 - 20. Calculate the remainder when l is divided by d.
1
Let y be -1 + 12 - 0 - -2. Suppose -5*w + 12 = -y. Suppose -3*s - w*t = -t - 46, -2*s - t + 24 = 0. What is the remainder when s is divided by 6?
4
Let r(d) = 10*d - 10. Calculate the remainder when 99 is divided by r(3).
19
Let k = 85 + -58. What is the remainder when k is divided by (2 + -1)*(3 + 4)?
6
Let m be (-6)/21 - (-32)/14. Calculate the remainder when 8 is divided by (m + 1)/(0 - -1).
2
Let o = 541 - 516. What is the remainder when (-298)/(-4) - (-1)/(-2) is divided by o?
24
Let o = -20 - -33. Suppose -4*k = a - 0*a - 44, 62 = 2*a - 5*k. What is the remainder when a is divided by o?
10
Suppose 3*w - w + 2*t - 6 = 0, -5*w + 15 = 2*t. Let z(x) = 4*x + 3. What is the remainder when 42 is divided by z(w)?
12
Suppose 4 + 36 = 5*s. What is the remainder when 22 is divided by s?
6
Calculate the remainder when 46/6 + 20/(-3