11
Suppose -2*s - 8 + 22 = 0. Let b(a) = -a**3 + 7*a**2. Let m be b(s). Let y(v) = -v**3 - v**2 - v + 62. What is the remainder when y(m) is divided by 13?
10
Suppose -l + h = 2*l - 93, 3*l = 4*h + 84. Let z(j) = -j**3 - 2*j**2 + 33*j - 2. Calculate the remainder when l is divided by z(-7).
8
Suppose h - f - 41 = -0*f, 0 = h + 5*f - 17. Let r be (-56)/6 + (-1)/(-3). Let d = h + r. What is the remainder when 111 is divided by d?
27
Let o(k) = -2*k**3 + 13*k**2 - 8*k + 17. What is the remainder when 151 is divided by o(5)?
47
Let x(u) = -u + 8. Let j be x(-9). Let w = -14 + j. Let t(n) = 2*n**2 - 2*n + 1. Calculate the remainder when 62 is divided by t(w).
10
Let q = 48 + -44. Suppose 0 = -5*u + 48 + 117. What is the remainder when u is divided by 12/10*5*6/q?
6
Suppose -7*d - 64 = 9*d. Let m(i) = -5 - 4*i**3 + 2 - 4*i + 1 - 4*i**2 + 3*i**3. Calculate the remainder when m(d) is divided by 9.
5
Suppose 0 = -4*q + 48 + 12. What is the remainder when q is divided by 11?
4
Let f = 6 - 3. Let y(d) = 2*d**2 - 2*d - 1. Let n be y(2). Suppose 0 = -4*i + 9 + n. Calculate the remainder when f is divided by i.
0
Let a = 211 - 155. Calculate the remainder when a is divided by 12.
8
Let o(z) = 27*z**2 - 214*z - 11. What is the remainder when 179 is divided by o(8)?
4
Let p = 30 + -7. Suppose -p = 5*o - 113. Let s(n) = n**2 + 3*n - 39. What is the remainder when s(9) is divided by o?
15
Suppose -4*c - 82 + 1118 = 4*f, 3*f - 777 = c. What is the remainder when f is divided by 8?
3
Let v be (-5)/2*50/(-5). Let t(u) = -u**3 - 2*u**2 + 4*u - 3. Let c be t(-4). Let o = v - c. What is the remainder when 21 is divided by o?
9
Let m = -55 - -115. Let q = -46 + m. What is the remainder when 55 is divided by q?
13
Let r = 91 - 10. Suppose 4*v - r = -a, -5 + 110 = 5*v + 5*a. Let j(o) = -o**2 - 8*o. Calculate the remainder when v is divided by j(-7).
6
Let j(w) = 4*w**2 + 12*w + 9. Calculate the remainder when 61 is divided by j(-3).
7
Let b = -22 + 40. Let d = 188 - 77. Let q = -77 + d. What is the remainder when q is divided by b?
16
Let a(u) = u**3 - 6*u**2 - 5*u + 9. Calculate the remainder when 33 is divided by a(7).
10
Let l = 9 - 8. Let h be (2 + l + -2)*5. Suppose 150 = h*p - 3*v, 2*p = -2*p - 5*v + 83. Calculate the remainder when p is divided by 10.
7
Let j(q) = -q**3 + 21*q**2 - 55*q - 70. Calculate the remainder when j(17) is divided by 76.
75
Let g(v) = -5*v**3 + 4*v**2 + 10*v + 11. Let t(y) = -y**3 + y**2 + 2*y + 2. Let j(u) = -2*g(u) + 11*t(u). What is the remainder when 22 is divided by j(3)?
4
Let l(u) = u**2 - 18*u - 16. What is the remainder when l(-7) is divided by 33?
27
Let r(z) = -z. Suppose w - 26 = -5*i, -2*w + 22 = -0*w + 4*i. What is the remainder when w is divided by r(-1)?
0
Let a = -40 - -42. What is the remainder when 5 is divided by ((-6)/8)/(a/(-8))?
2
Let i = 194 - 175. What is the remainder when 147 is divided by i?
14
Let u = -3109 - -4407. What is the remainder when u is divided by 65?
63
Suppose -4*p - 10*d + 201 = -9*d, -45 = -p - 2*d. Calculate the remainder when 150 is divided by p.
48
Let l be ((-4)/18*12)/(4/(-18)). Let j(b) = 2*b + 43. What is the remainder when j(l) is divided by 7?
4
Suppose 5*x - 3 = 2*c + 13, 5*c - 2*x = 2. Suppose 3*w - 5*g = 97, 5*w - c*w - g - 77 = 0. Let q = -69 - -162. Calculate the remainder when q is divided by w.
21
Let m(i) = 5*i**3 + i. Let n = 14 - 13. Let z be m(n). Let q = 0 + z. What is the remainder when 15 is divided by q?
3
Suppose 7*v = 125 + 918. Suppose -3*n = -4*g - 114, -2*n - g + 152 = 2*n. Calculate the remainder when v is divided by n.
35
Suppose 12 = -4*f, -5*f + 41 = i - 13. Calculate the remainder when i is divided by (((-9)/(-3))/(-3))/(4/(-48)).
9
Calculate the remainder when 277 is divided by 5/(-2)*56/7*-1.
17
Let k(u) = -u**3 + 14*u**2 - 24*u + 16. Calculate the remainder when 38 is divided by k(12).
6
Let d(r) = -8*r - 16. Let t(g) = 5*g - 3. What is the remainder when d(-6) is divided by t(2)?
4
Calculate the remainder when (8/12 + -1)*678/(-2) is divided by 6.
5
Let a = 1191 - 1106. What is the remainder when a is divided by 44?
41
Let h = -49 + 76. Calculate the remainder when (33 - -7)*75/40 is divided by h.
21
Let y be 2/4 + (-23)/(-2). Suppose -y = 4*m - 0*m. What is the remainder when 6 is divided by (m - -1)*(-12)/8?
0
Let k be 1/(4*(-5)/(-460)). Suppose 3*c - k = 43. What is the remainder when c is divided by 9?
4
Let v(f) = -2*f**3 - 4*f**2 - 4*f - 3. Let l = 104 - 107. What is the remainder when 77 is divided by v(l)?
23
Suppose -3*d + 102 = u, 3*u - 8*d + 3*d = 362. Let o = u + -54. What is the remainder when o is divided by 31?
29
Let b = 6 + -13. Calculate the remainder when 15 is divided by ((-33)/6)/(b/14).
4
Let s(g) = -g**3 - g**2 + 3*g - 1. Let q be s(3). Let u = 16 + q. Calculate the remainder when (-339)/(-9) - (-8)/u is divided by 13.
11
Suppose -d + 504 = 3*a, 4*a - 831 = 3*d - 172. Calculate the remainder when a is divided by 12.
11
Let l be 38*((-1)/(-4) + (-42)/(-24)). Suppose -4*t = 4*a - 112, -2*a - 4*t = -7*t - l. What is the remainder when 62 is divided by a?
30
Let f = -3 - -9. Let d(m) = m**2 - 2*m + 1. Let h be d(1). Suppose h = 3*o + 8 + 7, -4*o + 1 = a. Calculate the remainder when a is divided by f.
3
Calculate the remainder when 1 + 3 + 2/((-10)/(-45)) is divided by 4/(2*3/12).
5
Suppose 3*g = -360 + 393. Calculate the remainder when 260 is divided by g.
7
Let o(n) = 8*n**2 - 3*n - 3. Suppose 4*u - 35 = 41. What is the remainder when o(-2) is divided by u?
16
Let g = -13 + 7. Suppose -z + 6*r - 1 = 11*r, -3*z = r + 3. Calculate the remainder when (-18)/g + (0 - z) is divided by 2.
0
Let b(o) = 3*o**3 + 16*o**2 + 14*o + 13. What is the remainder when 263 is divided by b(-3)?
25
Suppose -27*z = 9*z - 3132. Calculate the remainder when z is divided by 26.
9
Let y = -92 + 130. Let t = -22 + y. Calculate the remainder when t is divided by 10.
6
Suppose 14*f - 33*f = -228. What is the remainder when ((-90)/2 - 2)*-1 is divided by f?
11
Suppose 225 = 44*v - 29*v. Calculate the remainder when 149 is divided by v.
14
Let q(z) = -z**3 + 9*z**2 + 15*z - 4. Let i be q(10). Suppose -3*v = 5*h - i, -1 = 3*h - 5*v - 15. What is the remainder when h is divided by 3?
2
Let s(v) = 3*v**2 - 3*v - 1. Suppose 8 = 3*x - 1. What is the remainder when 66 is divided by s(x)?
15
Let u(f) = -420*f**3 - f**2 - f - 2. What is the remainder when u(-1) is divided by 35?
33
Let x(j) = j - 7. Let d be x(6). Let f = -1155 + 1166. Calculate the remainder when 62*(1 + d/2) is divided by f.
9
Let t = 672 - 660. What is the remainder when 118 is divided by t?
10
Suppose 53*z - 59*z + 174 = 0. Suppose z = 4*c + 5*l, -4*c + 3*l - 2 = -55. What is the remainder when 30 is divided by c?
8
Let g = 93 - 85. Calculate the remainder when 18 is divided by g.
2
Let q(y) be the first derivative of -y**4/4 + 3*y**3 - 7*y**2/2 - 8*y - 28. Calculate the remainder when q(7) is divided by 2/6 + (-64)/(-6).
8
Let i = 186 + -159. What is the remainder when i is divided by 7?
6
Let g = -19 + 49. Suppose -3*o = -3*z - 2*z - 58, -o + z + 18 = 0. Calculate the remainder when g is divided by o.
14
Suppose 0 = -t + 29. Let a be (15 + -9)/(1/21). Calculate the remainder when t is divided by (-6)/(-24) - a/(-8).
13
Let u = -349 + 532. Suppose -9*p + u = 30. What is the remainder when 31 is divided by p?
14
Suppose -18*m + 16*m + 2*r = -18, -4*r = 16. Let i(b) = -b + 2. Calculate the remainder when i(-6) is divided by m.
3
Suppose 0 = 2*u + 13 + 103. Let p = -21 - u. Suppose -5*t + 4*g = 0, 3*t = -5*g - 0*g + p. What is the remainder when 14 is divided by t?
2
Suppose -22*n - 1064 = -41*n. Calculate the remainder when 215 is divided by n.
47
Calculate the remainder when 1/(-4) + 1012/16 is divided by -48*((-2)/(-4))/(7*30/(-140)).
15
Let j = -5 - -23. Calculate the remainder when (-24)/(-11) - 12/66 - -31 is divided by j.
15
Suppose -17*q = -16*q. Suppose 3*o = -5*k - o + 67, q = -4*k + 3*o + 35. Let u = -7 + k. What is the remainder when 19 is divided by u?
3
Let d = 173 + 71. Suppose -p = -4*t - 51, 4*p + 4*t - d = -20. Calculate the remainder when p is divided by 19.
17
Suppose -4*v + 7 = -4*w + 3, -24 = v + 4*w. Let n(t) = -t**2 - 7*t + 8. What is the remainder when 37 is divided by n(v)?
17
