 1. What is the remainder when c(v) is divided by 5?
3
Let u(c) = -c**3 - 5*c**2 - 2. Let v be u(-4). Let x = v + 29. Let t(w) = -w**3 + 6*w**2 + 5*w + 2. Calculate the remainder when t(6) is divided by x.
10
Suppose -2*q - 119 = -3*k + 10, -12 = -4*q. Suppose -35 - k = -5*m. Calculate the remainder when m is divided by 9.
7
Suppose -4*m = -3*m - 25. Let u = -20 + 29. Calculate the remainder when m is divided by u.
7
Let l(q) = -q**2 + 8*q. Let m(v) = -v**3 - v**2 - 2*v. Let y be m(-2). Let t be l(y). Let o = t + 10. What is the remainder when 29 is divided by o?
9
Let y = 28 + -19. What is the remainder when 26 is divided by y?
8
Let p(c) = 10*c**2 + 5*c - 14. Calculate the remainder when p(6) is divided by 14.
12
Suppose -5*w - 2*i - 58 = 0, 0 = 4*w - 4*i + 4 + 20. Let n(m) = -m**2 - 13*m - 15. What is the remainder when 28 is divided by n(w)?
13
Let q be 6 + 3*2/(-3). Suppose 0 = 3*m - q*m + 6. Calculate the remainder when 46 is divided by m.
4
Let z(t) = -t**2 - 10*t - 14. Calculate the remainder when (-1)/(-4) - 129/(-12) is divided by z(-7).
4
Suppose 9*m + 64 = 271. What is the remainder when 43 is divided by m?
20
Let r(m) = -15*m - m**2 - 9 - 6*m**2 - m**3 + 8*m. Suppose 4*j - 54 = 2. Calculate the remainder when r(-7) is divided by j.
12
Let t(i) = -i**2 - 4*i - 5. Let u be t(-4). Calculate the remainder when (-2 + 16/10)*u is divided by 2.
0
Suppose -u - 3*y = -35, -4*y = -5*y + 3. Let x(n) = n**3 - 36*n**2 - 36*n - 28. Calculate the remainder when u is divided by x(37).
8
Let i = -5 + 25. What is the remainder when 117 is divided by i?
17
Let t = -49 + 63. What is the remainder when t is divided by 4?
2
What is the remainder when 28 is divided by (-16)/3*36/(-24)?
4
Suppose -7*x = 33 - 117. What is the remainder when 20 is divided by x?
8
What is the remainder when 3 is divided by 2/4*-2 + 4?
0
Let w(b) = 15*b**3 - b**2 + b. Suppose 5*j + 3*m = 5*m + 208, -3*j + 3*m = -123. What is the remainder when j is divided by w(1)?
12
Suppose -26 + 2 = -2*k. Suppose -b = b - k. What is the remainder when 16 is divided by b?
4
Let j = 93 - 86. Calculate the remainder when 25 is divided by j.
4
Let x(r) = r + 15. What is the remainder when 23 is divided by x(-7)?
7
Let h = 23 - 15. Suppose 0 = 3*c - 25 - 56. Suppose 3*r = 15 + c. Calculate the remainder when r is divided by h.
6
Let i = 8 - -1. Let y be (-2)/(-2)*(25/5 - 2). Suppose y*r - 41 = -2*a, -4*r + i*r = 5*a + 35. What is the remainder when r is divided by 3?
2
Suppose 5*m = t + 287, 5*m = t + t + 289. Calculate the remainder when m is divided by 20.
17
Let w = -12 + 30. What is the remainder when 68 is divided by w?
14
Let g(o) = 3*o - 6. What is the remainder when 57 is divided by g(7)?
12
Let p(q) = q**3 - 2*q**2 - q - 3. Calculate the remainder when 11 is divided by p(3).
2
Let d = 134 + -60. What is the remainder when d is divided by (2/6)/((-7)/(-399))?
17
Suppose -4*w + 4*l + 60 = 0, 0*w + 55 = 4*w + l. Let b = -69 - -123. Calculate the remainder when b is divided by w.
12
Suppose 5*d - 5*r = -201 + 586, 308 = 4*d + 3*r. Calculate the remainder when d is divided by (-2)/((-57)/(-30) - 2).
17
Calculate the remainder when 18 is divided by 2/5 - (-253)/55.
3
Suppose 277 + 149 = 3*i. Suppose 8*u - 3*n = 3*u + i, 150 = 5*u + 5*n. Calculate the remainder when u is divided by 16.
13
Suppose p - 6*p + 445 = 0. Suppose 27 = 4*h - p. What is the remainder when h is divided by 10?
9
Let t(w) = w**3 + 6*w**2 + 4*w - 3. Calculate the remainder when t(-5) is divided by 1.
0
Let o = -3 + -3. Let l(z) = -z**3 - 4*z**2 + z - 1. Calculate the remainder when l(o) is divided by 22.
21
Let v(l) = -l**2 - 29*l + 6. Calculate the remainder when v(-12) is divided by 53.
51
Let w be 5/(5/(-2)) - -11. Let b = 7 + w. Calculate the remainder when 47 is divided by b.
15
Let x(c) = -c**2 + 7*c - 8. Let n(w) = 7*w**2 - 2*w + 1. Let i be n(1). Let s be x(i). What is the remainder when (s/(-8))/((-1)/(-164)) is divided by 21?
20
Let j(f) = 3*f + 12. What is the remainder when j(9) is divided by 20?
19
Suppose -4*x - 3*d + 85 = 0, -4*d + 7 = x - 8*d. Calculate the remainder when (-12 + 0)/(1/(-6)) is divided by x.
15
Let t = 68 + -35. Calculate the remainder when t is divided by 17.
16
Suppose j + 2*j + 20 = 4*b, -4*j = 0. Suppose b*p - 2*d - 46 = 26, -5*p - d + 69 = 0. Calculate the remainder when 40 is divided by p.
12
Let w(n) = -n + 3. Let f be w(-3). Let g(k) = 6 - f + 19*k. What is the remainder when g(1) is divided by 10?
9
Let k(s) = -2*s - 3. Let v = -15 - -5. Let n = 16 + v. Calculate the remainder when k(-7) is divided by n.
5
Let m(a) = a**2 - 8*a - 5. Let o be m(9). Let u be 4/(-14) - o/(-14). Suppose -2*w + 3 + 11 = u. What is the remainder when 13 is divided by w?
6
Let s(y) = -3*y**2 - 5*y + 12. Let q(a) = 2*a**2 + 3*a - 8. Let f(g) = 8*q(g) + 5*s(g). Suppose 0*b + 3*b = 9. What is the remainder when f(b) is divided by 1?
0
Let o(a) = -a**2 - a + 11. Suppose 3*d = 5*d. Let n be o(d). Let c = n - 7. What is the remainder when 5 is divided by c?
1
Calculate the remainder when 88 is divided by -4 + 1 + 8/4 - -31.
28
Suppose 0 = -k + 2*k + 2*h - 22, -3*h + 51 = 3*k. What is the remainder when 58 is divided by k?
10
Suppose 0 = -5*m - 5*h + 130, -2*m - m = h - 76. What is the remainder when m is divided by 17?
8
Let f(o) = 10*o**2 + 1. Suppose 4*z + 5*v - 168 = 0, 4*z + 23 = -4*v + 191. What is the remainder when z is divided by f(1)?
9
Let d = 135 + -126. Let i = 24 - 9. Calculate the remainder when i is divided by d.
6
Let o = 36 + -5. Let g be 7*(2 - 2/7). Let y = g + -1. Calculate the remainder when o is divided by y.
9
Calculate the remainder when 11 - (0 - 1) - 1 is divided by 4.
3
Let o(w) = w**3 + w**2 + 7. Suppose 0 = -y + u + 5, -3*y + 4*u + 17 = -u. Suppose y*t = -0*t. Calculate the remainder when o(t) is divided by 3.
1
Let a(n) = n + 9. What is the remainder when 9 is divided by a(-5)?
1
Let a = 30 + -14. Calculate the remainder when 39 is divided by a.
7
Let w(c) = -c**3 + 7*c**2 - 6*c + 1. Let b be w(4). Let a = b + -12. Let u = 100 - 50. Calculate the remainder when u is divided by a.
11
Let d be (-7)/(-2)*-8 + 2. Calculate the remainder when 33/5 - (-4)/10 is divided by d/(-8) + 1/(-4).
1
Let t(b) = -11*b - 87. Calculate the remainder when (-634)/(-14) + 2/(-7) is divided by t(-9).
9
Suppose -83 = -5*t + p - 3*p, 63 = 4*t + 5*p. Suppose 0 = -9*x + 36*x - 1296. Calculate the remainder when x is divided by t.
14
Let d be 1/4 + 76/16. Suppose -3*i = -2*k + 1 + 10, d*k = -5*i + 40. What is the remainder when k is divided by 5?
2
Suppose 0 = -5*w - 25 + 125. Suppose 0 = 2*l - w - 10. Calculate the remainder when 29 is divided by (-12)/9*l/(-2).
9
Let x(a) be the second derivative of -a**3/3 - 4*a**2 - 2*a. Calculate the remainder when x(-8) is divided by 5.
3
Suppose 0 = -3*h - 24 + 111. Suppose -5*m + 35 = -0*g + 4*g, 50 = 4*g + 2*m. What is the remainder when h is divided by g?
14
Let z(w) = 6*w + 47. What is the remainder when 2/(-7) + (-233)/(-7) is divided by z(-5)?
16
Suppose 3*x + 90 = 5*z, -4*z + z - x + 40 = 0. Calculate the remainder when z is divided by 4.
3
Suppose -4*g + 14 = -54. Suppose 3*q + 12 = 7*q. Suppose -4*s = -2*a + 8, 2*a + q*s - 5 = 10. Calculate the remainder when g is divided by a.
5
Let t be 30/(-50) + (-53)/(-5). Let q(l) = l - 5. Calculate the remainder when 7 is divided by q(t).
2
Let h = 12 - 9. Suppose -z - 5*x + 28 = 0, -h*x - x - 8 = -3*z. Calculate the remainder when 23 is divided by z.
7
Let a(u) = u + 75. Calculate the remainder when a(0) is divided by 19.
18
Suppose 0 = 5*u + 5 - 0. Let r = 3 + 19. What is the remainder when r is divided by 3/(-3)*-11 - u?
10
Suppose 3*u = 14 + 1. Suppose -4*p + 7 = -u. Suppose 3*f + 12 - 3 = 0, p*f = -2*o + 13. What is the remainder when 32 is divided by o?
10
Suppose o + 36 = -5*p + 4, -3*o = -5*p - 44. Let q = -3 - p. Calculate the remainder when 15 is divided by q.
3
Let f = 26 - 17. Let z = 20 - f. What is the remainder when z is divided by 4?
3
Suppose -36 = -2*k + 2*u, 9 = 3*k - 2*k + 2*u. Let q = 27 - k. What is the remainder when (70/(-8))/((-2)/8) is divided by q?
11
Let z(q) = q**2 + q - 1. Let s be z(-3). Suppose -c = -s*c. Suppose -4*j + j + 48 = c. What is the remainder when 30 is divided by j?
14
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