
12
Let g(u) = u**3 + 6*u**2 + 5*u - 4. Let m be g(-5). Suppose -4*p - 4 = -8*p, 0 = 4*z + 4*p - 28. What is the remainder when (m/4)/((-4)/60) is divided by z?
3
Let k = 26 + -6. Suppose -d - 3*d = -308. Calculate the remainder when d is divided by k.
17
Let z(v) = -v**2 - 4*v + 5. Let k = 4 - 6. Let t = 0 - k. Calculate the remainder when z(-4) is divided by t.
1
Let f(v) = 6*v - 72. Calculate the remainder when f(21) is divided by 8.
6
Let g(w) = w**3 + 10*w**2 - 10*w + 14. Let l be g(-11). Suppose 3 = -3*o, 0*o - o = -l*a + 130. Calculate the remainder when a is divided by 22.
21
Let s(q) = 5*q**2 + 7*q - 3. What is the remainder when s(4) is divided by 27?
24
Let a = 6 - -52. What is the remainder when a is divided by (-4)/(-10) + (-73)/(-5)?
13
Let r(b) = 4*b**3 + 2*b - 2. Let f be r(1). Let u(s) = -s**3 + 5*s**2 - 3*s + 7. Let j be u(5). What is the remainder when (-282)/j + (-1)/f is divided by 12?
11
Let n = -42 + 93. Calculate the remainder when n is divided by (-1)/5 - 6/30*-66.
12
Suppose -3*s + 3*w = -18, 5*s + 2*w + 1 - 31 = 0. Calculate the remainder when s is divided by 2.
0
Suppose 15*w - 12*w - 21 = 0. What is the remainder when 26 is divided by w?
5
Let d(w) = -w**2 + 23*w + 15. What is the remainder when 102 is divided by d(23)?
12
Suppose -2*p = 2*y + 8, 7*p + 20 = 4*y + 2*p. Suppose -3*s - 90 - 30 = y. Let i = -26 - s. What is the remainder when 41 is divided by i?
13
Let y = -46 - -78. What is the remainder when y is divided by 11?
10
Let t = -82 + -197. Calculate the remainder when t/(-12) - 1/4 is divided by 8.
7
Let q = 4 + 0. Suppose 7*s - 2*s = -q*j + 9, -3*j = 3*s - 6. What is the remainder when s*((-2 - -4) + 5) is divided by 4?
3
Let p(u) = -u - 9. Let d be p(-11). Suppose q - 4*c + d = -4*q, 0 = c - 3. Calculate the remainder when (-2 + 1)/(q/(-86)) is divided by 15.
13
Let g = 26 + -16. Let a(b) = 3*b**3 - b. Let n be a(-1). Let f = n + 8. What is the remainder when g is divided by f?
4
Suppose -8 + 2 = -2*p. Suppose 0 = -2*u + p*u - 54. Suppose 0 = 2*a - 0 - u. What is the remainder when a is divided by 15?
12
Suppose 4 = -2*i + 3*i. Suppose -j + i*j - 24 = 0. What is the remainder when 14 is divided by j?
6
Let v(s) = s - 1. Let l be v(3). Suppose 6*z + l = 4*z. Let f = z - -6. Calculate the remainder when 8 is divided by f.
3
Let u(b) = -7*b - 2. What is the remainder when 14 is divided by u(-1)?
4
Suppose 3*z + 2*y = -559 + 115, 0 = 5*z - 2*y + 756. Calculate the remainder when 32 is divided by z/(-14) + 6/21.
10
Suppose -v + 0*v = -37. Suppose -28*i + 560 = 12*i. What is the remainder when v is divided by i?
9
Suppose 5*g + 2*d = -95 - 12, 0 = -4*g - 3*d - 87. Let z = 8 - g. Calculate the remainder when z is divided by 10.
9
Let w(l) = l**2 - 6*l + 5. Let s be w(5). Suppose -10 = -3*t + t. Suppose t*c - 49 - 66 = s. What is the remainder when c is divided by 12?
11
Suppose 5*g + 9 = h - 5, -23 = -h + 2*g. Let c = h + -12. What is the remainder when 32 is divided by c?
15
Let p = -11 + 16. Suppose -68 = -x - 2*x - 4*n, 0 = x - 3*n - 1. Suppose r = -r + x. Calculate the remainder when r is divided by p.
3
Suppose -1 + 7 = 2*o. Suppose 0*c + 4*c + o*i = 77, i - 3 = 0. Calculate the remainder when c is divided by 3.
2
Let c be (-2 - -6)*(5 - -1). Suppose 0*m = -4*m + c. Calculate the remainder when 10 is divided by m.
4
Let i(h) = -3*h - 5. Let o = 2 - -1. Calculate the remainder when i(-3) is divided by o.
1
Let r be 3 + 1 + -1 - 1. Suppose -3 + 121 = r*x. Let b = -28 + 48. What is the remainder when x is divided by b?
19
Calculate the remainder when 32 is divided by 21/(-12)*(3 + -7).
4
Let u(m) = -m**3 + 6*m**2 + 6*m + 6. Let x be u(7). Let r = x + 8. Calculate the remainder when (-176)/(-8) - 4/(1*2) is divided by r.
6
Let y(x) = -x**2 + 11*x - 12. What is the remainder when 51 is divided by y(6)?
15
Suppose p - 12 = -3*p. What is the remainder when 8 is divided by p?
2
Let d(f) = 7*f - 1. What is the remainder when 38 is divided by d(3)?
18
Let m = 10 + -6. Calculate the remainder when 138/4 + m/8 is divided by 12.
11
Suppose -20 = -5*q, 0*s - 5*s = 5*q - 30. Suppose 6*r = s*r + 64. What is the remainder when 30 is divided by r?
14
Let h = -2 - -7. What is the remainder when (h/5)/(1/9) is divided by -4 + 4/2 + 7?
4
Let y(s) = s**3 - 6*s**2 - 8*s + 9. Let g be y(7). Suppose 141 = o + g*o. Calculate the remainder when o is divided by 24.
23
Let j(q) = 5*q + 2. Let s(r) = -10*r. Let k = 6 - 8. Calculate the remainder when s(k) is divided by j(1).
6
Let k = -4 + 11. Let c = 0 + 26. What is the remainder when c is divided by k?
5
Let c be -3*2/(-6)*5. Suppose 0 = -c*s - 5 + 10. Calculate the remainder when 2 is divided by s.
0
Let h(f) = f**2 - 11. Let q be 4/10 + 654/15. Suppose o + 4 = q. What is the remainder when o is divided by h(5)?
12
What is the remainder when 3*(-1)/2*(-71 + 45) is divided by 6?
3
Suppose 5*i - 7*i + 333 = -5*m, 4*i + m - 677 = 0. Let v = i - 69. Suppose -p + v = 4*p. Calculate the remainder when 38 is divided by p.
18
Suppose 2*q + p - 112 = -2*q, -3*q = 4*p - 71. Suppose 5*w + 6*k + 55 = k, 35 = -5*w + 5*k. Let f = q + w. What is the remainder when f is divided by 7?
6
Let o be 0 - 1/(2/(-40)). Suppose -3*n + o = -n. Calculate the remainder when -2*(-3)/6*(30 + -3) is divided by n.
7
Let p(v) = -4*v. Let d be p(-1). Suppose 0 = -3*s - 1 + d. What is the remainder when 23 + (-1 - -1 - s) is divided by 12?
10
Let t = -17 + 24. Let d = 38 + -26. Calculate the remainder when d is divided by t.
5
Let h = 19 + -15. What is the remainder when -9*(0 + -1) - 2 is divided by h?
3
Suppose -4*f - s = -16, -s = -2*f - 4*s + 8. What is the remainder when (5 - -43)*f/3 is divided by 22?
20
Suppose 6*q - 120 = 2*q. What is the remainder when q is divided by 16?
14
Suppose -3*d = 2*d - 25. Suppose 5*n - n = -d*r + 74, 0 = n - 5*r - 6. Suppose -3*f + 3 + 15 = 0. Calculate the remainder when n is divided by f.
4
Let k be 8/2 - 2/2. Suppose 0 = 8*t - 7*t - k. What is the remainder when 11 is divided by t?
2
Suppose 44 = 2*o - 3*f, 2*o - 2*f = -f + 36. What is the remainder when o is divided by 9?
7
Suppose 3*r + 1 = -5*o, -4*o - 5*r + 6 = -1. Let k(n) = -3*n**3 + 4*n**2 + 4*n + 3. What is the remainder when k(o) is divided by 18?
17
Let v = -146 + 158. Calculate the remainder when 69 is divided by v.
9
Suppose -3*y = -4*y + 10. Let b = 3 + y. Calculate the remainder when 25 is divided by b.
12
Let j = -15 + -2. Let v = j - -25. What is the remainder when 14 is divided by v?
6
Let n = 4 - 1. Let w(k) = -k**2 - 13*k - 11. What is the remainder when w(-11) is divided by n?
2
Let w(f) = -20*f**3 - 2*f**2 + 2*f - 1. Let b be w(1). Let t = 63 + b. Calculate the remainder when t is divided by 11.
9
Let j = 69 - 56. Calculate the remainder when 37 is divided by j.
11
Suppose -3*d + 0 = -24. Let g = -854 + 884. Calculate the remainder when g is divided by d.
6
Suppose 2*o + 2 = 3*o - i, 5*o - 37 = -4*i. Let c(l) = -l**3 + 13*l**2 + 15*l - 11. What is the remainder when o is divided by c(14)?
2
Let q(k) = -k**2 - 9*k - 2. What is the remainder when q(-6) is divided by 4?
0
Suppose 3*q - 5*y = -0*q + 102, -2*y - 34 = -q. Let t = -17 + 29. What is the remainder when q is divided by t?
10
Let s be (-52)/(-14) - 2/(-7). Suppose 0 = -5*y - 3*q + 69, q - 3*q = -s*y + 64. Calculate the remainder when 28 is divided by y.
13
Let v(n) = -n**3 + 8*n**2 - 6*n + 3. Let m be v(5). Let y = m - 32. What is the remainder when 29 is divided by y?
13
Let w(g) = -g**3 - 5*g**2 + 5*g + 4. Calculate the remainder when 483/28 + 2/(-8) is divided by w(-6).
7
Let s = 18 + 12. Suppose 0 + 48 = 3*b. Calculate the remainder when s is divided by b.
14
Let y(z) = 3*z**2 + 15*z + 11. Calculate the remainder when y(-5) is divided by (-23)/(-3) + (-4)/6.
4
Suppose -2*t = -3*w - 3 - 189, -5*t + 491 = -2*w. Suppose -5*c - 34 + t = 0. Calculate the remainder when 25 is divided by c.
12
What is the remainder when 51 is divided by -4 + 1 - 10/(-1)?
2
Let y = -23 + 42. Suppose 29 = 2*x - y. Suppose x = 3*a - 63. What is the remainder when a is divided by 15?
14
What is the remainder when (12*-1)/(4/(-10)) is divided by 16/1*-2*2/(-4)?
14
Suppose -2*c = -5*p - 0*c + 427, -3*c = -p + 75. What is the remainder when p is divided by 22?
21
Let f = 1