 by b.
2
Suppose 9 = -0*z + z. Calculate the remainder when 17 is divided by z.
8
Suppose 2*c + 89 = 3*h, -3*h + 0*c + 91 = -c. What is the remainder when h is divided by 11?
9
Let q = -7 - -24. Let r(h) = -h**3 - h**2 + 5. Calculate the remainder when q is divided by r(0).
2
Let n(s) = s**3 + 2*s**3 + 5*s**3 + 0 - 1. What is the remainder when n(1) is divided by 2?
1
Suppose -28 = -5*l + r, 6 - 2 = l - r. What is the remainder when 15 is divided by l?
3
Suppose 0 = 2*f + 2*x + 40, -2*x + 35 = -4*f + 3*x. Let a = -3 - f. Let u(y) = -y**3 + y**2 + y + 34. Calculate the remainder when u(0) is divided by a.
10
What is the remainder when 51 is divided by 2/(-2) - (0 - 14)?
12
Suppose -5*p + 14 = 3*v, -3*p + 8*p + 2*v - 11 = 0. Let h = 10 - p. Calculate the remainder when 25 is divided by h.
7
Let o(b) = -b**3 + 19*b**2 - 13*b - 77. Calculate the remainder when 63 is divided by o(18).
11
Let o = 1 - 1. Suppose q - 5*q = t - 263, -2*q - t + 129 = o. What is the remainder when q is divided by 23?
21
Suppose -5*n = 3*k - 25, n - 26 = 4*k + 2. Calculate the remainder when (-4)/(-6)*(32 + 1) is divided by n.
6
Suppose 0 = -23*s + 18*s + 60. Calculate the remainder when 33 is divided by s.
9
Suppose 0 = -9*y + 4*y + 40. Let b(w) = -w + 10. Let q be b(7). What is the remainder when y is divided by 2*-10*q/(-12)?
3
Calculate the remainder when (9/4)/(3/72) is divided by 14.
12
Let p = -35 + 130. What is the remainder when p is divided by 24?
23
Let o be -4*(20/8)/(-5). Suppose -2*n - 66 = -4*s, 81 = o*s + 2*s + 3*n. What is the remainder when s is divided by 7?
4
Let f = -3 + 39. Let l(u) = -u**2 - 13*u - 17. What is the remainder when f is divided by l(-10)?
10
Suppose -b = 0, -3*b + 30 = a + b. Calculate the remainder when ((a + 3)/(-3))/(-1) is divided by 6.
5
Let y(a) = -a**2 + 2*a**2 - 4*a + 5*a + 15. What is the remainder when 44 is divided by y(0)?
14
Suppose 11 - 2 = 3*l. Let r = 16 + -9. Calculate the remainder when r is divided by l.
1
Suppose -2*n + 5*k + 35 = 0, -2*k = 5*n - 6 - 9. Suppose 2*q = 3*j - 1, 0 = n*q - 0*j - 5*j. Calculate the remainder when 2 is divided by q.
0
Suppose -5*t + 7*t - 14 = 0. Let a(x) = 2*x - 4. Let q be (-1)/((-6)/(-8))*-3. What is the remainder when t is divided by a(q)?
3
Let v = 4 + 0. Suppose n - v - 1 = -i, n + 7 = 2*i. What is the remainder when n/(2/(-2))*-2 is divided by 1?
0
Suppose -2 + 14 = 3*m. Suppose -15 = -3*q - 3*u, -5*q - 3*u - 8 = -37. What is the remainder when q is divided by m?
3
Suppose -5*r = -25, 5*u + 5*r - 7 - 13 = 0. Suppose -5*o + 31 = -124. Calculate the remainder when o is divided by (0 - u)/((-6)/(-66)).
9
Let s(k) = k**3 + 5*k**2 - 5*k + 2. Suppose 17*p - 59 = 16*p - 4*u, -4*u - 257 = -3*p. Calculate the remainder when p is divided by s(-5).
25
Suppose 71 = 7*n - 3*n + 3*s, -2*n + 3*s = -31. Calculate the remainder when 43 is divided by n.
9
Suppose 9 = -3*k - 6, -2*y - 5*k - 27 = 0. Let n(p) = 13*p**2 - 2*p - 1. Calculate the remainder when 40 is divided by n(y).
12
Let b = 82 + -59. What is the remainder when 43 is divided by b?
20
Suppose 2*a - 28 = -0*a + 4*o, -5*a - 5*o - 5 = 0. Calculate the remainder when 37 is divided by 1/a + 204/16.
11
Let a(v) = -3*v + 6. Let f be a(-6). Suppose -f = -4*p - 4*o + 3*o, -4*p + 3*o = -24. Let m = p + -5. What is the remainder when 2 is divided by m?
0
Suppose 0 = 4*w - 2*w - 130. Suppose 0 = -3*n + 5*y - 33, 4*n + y + 2 + w = 0. Let u = n - -29. What is the remainder when 49 is divided by u?
10
Let r be (4/(-6))/(1/(-3)). Let p(c) = -5*c + 11*c**r + 3 - c + 8*c. Calculate the remainder when p(-2) is divided by 15.
13
Suppose 2 = s - 5*a + 4, 2*a = 5*s + 10. What is the remainder when 77 is divided by (-39)/(s/((-8)/(-6)))?
25
Let z(y) = 11*y**2 - 4*y - 1. What is the remainder when z(3) is divided by 22?
20
Suppose 4*w + t + 1 = 53, -w + 3*t = 0. Suppose 2*m - 40 = w. Calculate the remainder when m is divided by 96/7 - (-12)/42.
12
Let g(s) = -s**2 + 6*s - 2. Suppose -m + 17 = f - 5*m, 4*f - 2*m - 12 = 0. Calculate the remainder when g(5) is divided by f.
0
Let l(r) = 13*r**2 - r + 1. Let i be (-104)/18 + (-4)/18. Let t = 14 + i. What is the remainder when l(1) is divided by t?
5
Let z(t) = 2*t + 5. Let k be z(5). Suppose v = 0, 0 = 3*l + 2*v + 2*v - k. Calculate the remainder when 2 is divided by (3 - l) + 1*4.
0
Let j(u) = 39*u - 1. What is the remainder when j(1) is divided by 8?
6
Suppose 208*i + 568 = 212*i. Calculate the remainder when i is divided by 16.
14
Let t be 1/2*(-1 + 1). Suppose t = -4*j + 3*j + 46. Let h = 41 + -25. What is the remainder when j is divided by h?
14
Calculate the remainder when (0 + 2 - 3) + 16 is divided by 9.
6
Let a = 17 - 4. Let y(b) = -b + 8. Suppose 4*z = -2*s + 8, -3*z + 1 = 2*s - 5. What is the remainder when a is divided by y(s)?
5
Suppose 0 = -3*l + 7*l - 112. Calculate the remainder when 80 is divided by l.
24
Suppose 15*j - 17*j + 36 = 0. What is the remainder when j is divided by 10?
8
Let h(i) = -i**2 + 6*i - 4. Let y be h(4). Suppose 4*x = 5*d + 2*x - 163, -16 = y*x. What is the remainder when d is divided by 16?
15
Let w be 1/(1 + -2*1). Let t be (0 - (2 + 1))*w. What is the remainder when 2/t + 184/12 is divided by 9?
7
Let d be ((-3)/(-2))/((-2)/(-12)). Suppose -b = 4*i + d - 3, -3*i = -b + 22. Calculate the remainder when 28 is divided by b.
8
Suppose p - 2 + 29 = 5*d, 0 = -2*d - 3*p + 21. Let k(a) = 3*a - 16. What is the remainder when k(9) is divided by d?
5
Let n(u) = 6*u**2 + 5*u - 8. Suppose -2*d = -0*z + 2*z - 42, -d + 4*z + 21 = 0. What is the remainder when n(3) is divided by d?
19
Suppose -v - 2 = -3. Let j(s) = 10*s**2 - 2*s - 3. Calculate the remainder when j(-2) is divided by -3*((-34)/6 + v).
13
Suppose q + 2 = 0, 5*q + 402 + 123 = 5*u. Suppose 0 = -3*n - 5*i + 62, 4*n - u = -i - 26. Calculate the remainder when n is divided by (-1)/(1/(-9)) + 1.
9
Suppose j + 2*n = 6*j - 27, j = -5*n. Let f be 5 - 5 - (0 + 0). Suppose -3*d - 15 = 0, -j*p - d + 65 = -f*d. Calculate the remainder when p is divided by 8.
6
Suppose 11*o - 435 = 6*o. What is the remainder when o is divided by 22?
21
Let p = 143 - 74. Suppose p = 4*a - 3*x, 6*x - x = -a. What is the remainder when a is divided by 74/9 - (-2)/(-9)?
7
Suppose 1 = -c + 4. Suppose 4*n + 1 = q + 6*n, -2*q - 3*n + 5 = 0. What is the remainder when q is divided by c?
1
Suppose 2*j + 5*j = 98. Let b(g) = -4*g**2 - 1 + 6*g**2 + 0*g - g. Calculate the remainder when j is divided by b(2).
4
Let r = -101 + 153. What is the remainder when r is divided by 19?
14
Suppose u - 240 = -2*u. Let l = u + -55. Calculate the remainder when l is divided by 9.
7
Suppose -5*g = 0, 2*g = -2*m + g + 4. What is the remainder when 7 is divided by m?
1
Let r be 26/10 + 2/5. Suppose r*u + 24 = 9. Let f(b) = -b**3 - 4*b**2 + 2*b - 3. What is the remainder when 35 is divided by f(u)?
11
Let z = -142 - -199. Suppose -v + z = 20. Suppose v = 5*g - 28. What is the remainder when 25 is divided by g?
12
Suppose -115 = -3*f - 2*f. What is the remainder when f is divided by 5?
3
Let r(m) = m**3 + 4*m**2 + 2*m - 1. Calculate the remainder when 10 - 0 - (-2)/2 is divided by r(-2).
2
Let r(x) = 7*x**2 + x - 1. Let q be r(-3). Let z = q + -41. What is the remainder when z is divided by 7?
4
Let m = -15 + 15. Let h = m + 5. What is the remainder when h is divided by 3?
2
Let g = 5 - 5. What is the remainder when 23 is divided by 22 + -9 + (g - 1)?
11
Suppose 3*f - 2*f - 10 = 0. Let t = 13 + -24. Let p = t + 17. Calculate the remainder when f is divided by p.
4
Suppose -f - 2 + 9 = 0. Suppose -2*u + 3*i = -i - 32, -3*u = 3*i - 57. Calculate the remainder when u is divided by f.
4
Suppose -2*t = -2*m - 3*t + 253, 5*m = 3*t + 638. Calculate the remainder when m is divided by 26.
23
Let g(l) = l**3 - 4*l**2 - 2*l - 4. Suppose 3*c - 8 - 12 = -4*i, 3*i - c - 15 = 0. What is the remainder when 43 is divided by g(i)?
10
Let w = 3 + -6. Let y = w + 6. Let j = y - 0. Calculate the remainder when 5 is divided by j.
2
Calculate the remainder when -11 + 4 + 4 - (-25 - -1) is divided by 13.
8
Let n(o) = 12*o**2 + 1. Calculate the remainder when n(-2) is divided by 13.
10
Suppose -3*w - 11 = 7. Let s(m) = m**3 + 7*m**2 + 5*m - 4. Let q be s(w). What is the remainder when 4*(q + -1)*1 is divi