t s(n) = 4*c(n) + 7*x(n). Calculate the remainder when 8 is divided by s(-5).
2
Let r(j) = j**3 + j**2 - 2*j + 2. Suppose -3*q - 2*q + 10 = 0. Let p(w) = 5*w + 2. What is the remainder when p(5) is divided by r(q)?
7
Let d(q) = q - 1. Let v be d(-5). Let a = 20 + v. Let s(z) = -12*z + 2. Calculate the remainder when s(-2) is divided by a.
12
Let s = 85 + -63. What is the remainder when s is divided by 8?
6
Suppose k - 3*c = 66, 0 = -0*k - 5*k + 3*c + 306. Let z = -30 + k. What is the remainder when z is divided by 16?
14
Suppose 6*z = 8*z - 126. What is the remainder when z is divided by 22?
19
Let x = -13 + 16. Calculate the remainder when 0 + (18 - 3)*x is divided by 24.
21
What is the remainder when 39 is divided by (2/(-3))/(3/(-63))?
11
Let z = -22 - -26. Calculate the remainder when 38 is divided by 16/12*30/z.
8
Suppose 517 = -5*c - 193. Let x = c - -205. Suppose -3*p = -6*p + x. Calculate the remainder when 40 is divided by p.
19
Let q = 20 + 15. Calculate the remainder when 136 is divided by q.
31
Let w = 6 + -4. Let t(j) = 4*j - 8. Let q(h) = 4*h - 7. Let i(d) = 5*q(d) - 4*t(d). What is the remainder when 9 is divided by i(w)?
4
Suppose 0 = -u + 2*t - 7, u + 0*t + 3*t = 3. Let g = -1 - u. Suppose 5*a + w - 21 = 0, -4*a + w + 3*w = -36. Calculate the remainder when a is divided by g.
1
Suppose 0 = -2*x - 2*x + 700. Suppose r + r = -4*u + 134, 5*u - x = -4*r. Calculate the remainder when u is divided by 8.
7
Calculate the remainder when 53 is divided by (-12)/3 + (25 - 3).
17
Suppose -5*n - n = -144. Calculate the remainder when 1596/35 + (-2)/(-5) is divided by n.
22
Calculate the remainder when 1 + (3 - 1) + 42 is divided by 12.
9
Let b be 0*(-1)/4*-2. Suppose 3*n = -5*m + 125, -m - n + 3*n + 12 = b. Calculate the remainder when m is divided by 12.
10
Let g be (-774)/(-22) + 6/(-33). Suppose g = 5*x - 25. Calculate the remainder when 22 is divided by x.
10
Suppose 0 = 4*k - 2*k - 40. Suppose 3*c - 5 = 4*c. Let s = 12 + c. Calculate the remainder when k is divided by s.
6
Let w = 5 - 2. Let t = w - 4. What is the remainder when (2/t - 2)*-2 is divided by 3?
2
Let w(z) = -z**2 + 10*z - 8. Suppose 5*j - 2*t = 34, t = 2*t + 2. Calculate the remainder when w(6) is divided by j.
4
Let w = 12 + -12. Suppose w*p - 10 = -p. Calculate the remainder when 28 is divided by p.
8
Let n(t) = t**2 + 2. Let v be (3/9)/((-1)/9). What is the remainder when 19 is divided by n(v)?
8
Suppose 4*o - 2 = 2. Suppose -3*x = -3*c + 7*c - 1, -3*x = -2*c + 5. What is the remainder when c is divided by o?
0
Let x(c) = c**3 + 6*c**2 - 9*c - 10. Let a(d) = -d**3 + 5*d**2 + 8*d - 9. Calculate the remainder when x(-7) is divided by a(6).
1
Let j be (11 + 1)/(6/(-16)). What is the remainder when 21 is divided by (27/(-12))/(12/j)?
3
Let r = 22 - -25. Suppose 0 = -5*k - 10, 0*t + 3*t - 4*k = 56. Let f = t - 0. Calculate the remainder when r is divided by f.
15
Suppose 0 = -3*z - 0*z + 69. Calculate the remainder when z is divided by 5.
3
Let d(z) = 6*z**2 + 2*z - 2. Calculate the remainder when d(2) is divided by (-1 + -3)/((-4)/14).
12
Let z = -8 - -24. Suppose -2*s + z = 2*s, -r + 6 = -s. Suppose 0 = 5*n - 3*n - 36. What is the remainder when n is divided by r?
8
Suppose 4*v + 24 = -0*u + 3*u, 4*u + 2*v = 54. What is the remainder when u is divided by 8?
4
Let s = 32 - 22. What is the remainder when 18 is divided by s?
8
Suppose 0 = -5*j + 4*l - 60 + 234, -5*j + l = -186. Let m(t) = 10*t**2 - t + 1. Calculate the remainder when j is divided by m(1).
8
Let w(b) = 23*b. Let i(u) = u**3 + 9*u**2 + 5*u + 5. What is the remainder when i(-7) is divided by w(1)?
22
Let s = 393 - 217. Let v = s - 121. Calculate the remainder when v is divided by 19.
17
Let w be 72 + -1 + 9/9. Let v = 110 - w. Let f = 15 - 2. Calculate the remainder when v is divided by f.
12
Let x be (-6)/(-4)*40/(-6). Let i = 1 - x. Calculate the remainder when i is divided by 6.
5
Let m(o) = o**2 + 10*o - 8. Calculate the remainder when 121 is divided by m(-13).
28
Let r(t) = t**3 - 7*t**2 - 7*t + 1. Let m be r(8). Let g = 11 - m. Let a = -1 - -2. Calculate the remainder when g is divided by a.
0
Let b = 2 - 8. Let v = b + 21. What is the remainder when v is divided by 8?
7
What is the remainder when 11 + (2 - 0)*2 is divided by 10?
5
Suppose -4*m + g + 94 = -71, -2*m + g + 81 = 0. Let d = 78 - m. Calculate the remainder when d is divided by 13.
10
Let g(v) be the third derivative of 4*v**5/15 - v**4/24 + 8*v**2. What is the remainder when (24/14)/((-4)/(-98)) is divided by g(1)?
12
Suppose -4*t + 0*j - j + 3 = 0, 4*j + 3 = -t. Suppose -d = -t - 2. What is the remainder when (-33)/(-5) - (-2)/5 is divided by d?
1
Let i(t) = 11*t**2 - 6*t + 21. Let d(b) = 5*b**2 - 3*b + 10. Let k(r) = -13*d(r) + 6*i(r). What is the remainder when 21 is divided by k(-5)?
3
What is the remainder when 20/(-90) + (-1950)/(-27) is divided by 20?
12
Let z(j) be the second derivative of j**4/12 - 2*j**3/3 - 9*j**2/2 - 3*j. Calculate the remainder when 22 is divided by z(7).
10
Suppose -2*u = -4*j - 42, 5*u - 3*u - 5*j = 46. Let b(x) = x**3 - x - 49. Let h be b(0). Let i = h - -86. What is the remainder when i is divided by u?
11
Suppose -9*l + 471 = -510. What is the remainder when l is divided by 28?
25
Let a(g) = g**2 - 7*g - 18. Calculate the remainder when a(-8) is divided by 35.
32
Let m = -16 + 33. Calculate the remainder when m is divided by 9.
8
Suppose -o - 2*n - 28 = -3*o, -3*o - 2*n = -42. What is the remainder when (123/9)/(-1)*-3 is divided by o?
13
Let s be 1 - -1*(-3 + 4). Suppose 0 = s*n - 18 - 0. Suppose 4*d = 30 + 34. What is the remainder when d is divided by n?
7
Let z(w) = w**3 - 5*w**2 + 4*w + 3. Let d be z(4). Suppose -2*m = -d - 11. Let x = 18 - m. Calculate the remainder when x is divided by 6.
5
Let w(k) = 109*k + 3. Calculate the remainder when w(1) is divided by 38.
36
Suppose 3*k + 5*j - 208 = 0, 4*k - 4*j - 308 = -52. Calculate the remainder when k is divided by 252/15 - 9/(-45).
15
Suppose -y - 3*b = -15, 2*y + 5*b - b - 30 = 0. Let u(n) = 6*n**2 - n + 1. What is the remainder when u(-2) is divided by y?
12
Let h(g) = -g**2 + 7*g + 10. Let j be h(8). Suppose 4*k - 7 = 3*y, j*y = 3*k - 0*y - 4. What is the remainder when 19 is divided by 1 - 2 - (-14 - k)?
8
Let n = -127 - -200. Calculate the remainder when n is divided by 19.
16
What is the remainder when 74 is divided by (10 + -12)*30/(-4)?
14
Suppose 0 = -16*o + 14*o - 8. Calculate the remainder when 17 is divided by (-48)/o*6/8.
8
Let c(q) = -q**3 - 8*q**2 - 4*q - 7. What is the remainder when c(-8) is divided by 13?
12
Suppose x + x - 228 = 0. Let z = -29 + x. Suppose 5*v + 4*n - z = -n, 4*v = -3*n + 64. What is the remainder when 25 is divided by v?
12
Let g = -31 + 46. Suppose 0 = -f - 2*f + g. Calculate the remainder when 14 is divided by f.
4
Let k be 182/(-21)*3/(-2). Let s = 18 + k. Calculate the remainder when 60 is divided by s.
29
Suppose -429 = -6*u + 81. What is the remainder when u is divided by 30?
25
Let i = 226 - 177. What is the remainder when i is divided by 17?
15
Let q = 9 + -7. Let t be 124/(-8) + q/(-4). Let w = 16 - t. What is the remainder when w is divided by 17?
15
Let g(s) = 3*s - 34. What is the remainder when 29 is divided by g(14)?
5
Let n(h) = -3*h + 3. Suppose 48 - 81 = -x. Calculate the remainder when x is divided by n(-5).
15
Let m = 4 - -12. Calculate the remainder when (-22 + 1)/((-3)/9 + 0) is divided by m.
15
Suppose 4*m = 16, 4*m - 2 = -u + 19. Suppose -5*s = 3*q - 2, 2*s - 4 + 0 = -2*q. Let t = u - s. Calculate the remainder when t is divided by 4.
3
Suppose -3*v + 2 = 4*o, -3*o + 3*v - 4*v = -4. Suppose -8 = -3*w + o*w. What is the remainder when w is divided by 5?
3
Suppose 13*a - 11*a = 98. What is the remainder when a is divided by 13?
10
Let u(m) = -m**3 + 4*m**2 + 5*m + 2. What is the remainder when (-1)/(18/10 - 2) is divided by u(5)?
1
Let t = 21 - 41. Let b be (-125)/t + 1/(-4). What is the remainder when 24/(15/b - 1) is divided by 9?
7
Let u(s) = s**2 - 13. What is the remainder when 3 is divided by u(-4)?
0
Let m = -54 - -60. What is the remainder when m is divided by 4?
2
Let c(t) = -4*t - 7. Let k be c(-4). Let s = k + 10. What is the remainder when s is divided by 10?
9
Suppose -5*d + 110 =