Suppose -3*q + 43 = 2*g, -3*q + 72 = g + s*g. What is the remainder when 56 is divided by g?
27
Let c(p) = -2*p**3 + 2*p + 10*p**2 + p**3 - 11 - 8*p. Let w be c(9). Suppose l - 2*l = -w. Calculate the remainder when l is divided by 6.
4
Suppose n + 3*n - 272 = -5*u, 3*u = -2*n + 162. Let p = 5832 + -5821. What is the remainder when u is divided by p?
8
Let a(s) = -34*s - 2. Suppose 3*u = 39 + 69. Suppose 4*k = v + 7*k - 14, -u = -2*v + 2*k. What is the remainder when a(-2) is divided by v?
15
Let v = 338 - 316. Suppose -t + 135 = -0*t - 4*s, 0 = 3*t - 3*s - 441. What is the remainder when t is divided by v?
19
Let j(a) = -5*a - 43. What is the remainder when 39 is divided by j(-10)?
4
Let v = 3549 + -3539. Suppose l + 2*l - 78 = 0. Calculate the remainder when l is divided by v.
6
Suppose -20 - 16 = -9*j. Calculate the remainder when 50 is divided by j.
2
Let g(s) = -2*s**2 + 13*s + 8. Let m be 103 + (-3 - -1) + -1. Suppose 4*i + m = 8*i. What is the remainder when i is divided by g(6)?
11
Suppose 3*j + 0*z = -4*z + 83, 6 = 3*z. Let a(c) = 28*c - 582. Let d be a(20). Let r = d + j. Calculate the remainder when r is divided by 2.
1
Let r = 73 + -49. Let i = -57 + 59. Calculate the remainder when (412/(-6))/(-1) - i/(-6) is divided by r.
21
Let w(x) = -2 + 0*x + 10*x**3 + 27*x**3 - 11*x**3 + x. What is the remainder when 48 is divided by w(1)?
23
Let b(t) = -3*t**3 - t**2 + 3*t + 1. Calculate the remainder when b(-4) is divided by 14.
11
Calculate the remainder when 24 is divided by 10 + 4*25/(-20).
4
Suppose 0 = 3*o - 97 - 74. Calculate the remainder when o is divided by 16.
9
Suppose 21*a = 34*a - 195. Calculate the remainder when 733 is divided by a.
13
Let t = 8 + -6. Suppose -3 + 11 = 4*s. Suppose -2*q + 4 + 64 = t*i, 4*i = s*q + 160. What is the remainder when i is divided by 10?
8
Let b = -89 - -137. What is the remainder when b is divided by 13?
9
Let l(c) = 4*c**2 - 6*c - 33. What is the remainder when l(7) is divided by 63?
58
Suppose 4*s + 68 = 4*j, -18*s + 61 = 5*j - 15*s. Let h = 96 - 57. Calculate the remainder when h is divided by j.
11
Suppose -5*o - 22 + 77 = 0. Let u = o + -3. Suppose 3*r - 23 = -u. Calculate the remainder when r is divided by 2.
1
Let c = 2005 - 1963. Calculate the remainder when c is divided by 0 - 0 - -23 - 0.
19
Suppose 0 = -5*f - 2418 + 43. Let p = 253 + f. Let b = -146 - p. Calculate the remainder when b is divided by 13.
11
Suppose 3*g - 121 = -13. Suppose 14 = 5*r - g. Calculate the remainder when r is divided by 3.
1
What is the remainder when 4 - (12/(-15) + (-551)/5) is divided by 63?
52
Suppose -509 = -2*t - 415. Calculate the remainder when 92 is divided by t.
45
Let d(o) = -17*o + 22. Calculate the remainder when 290 is divided by d(-3).
71
Let l be -3 - -2 - (-1 + -12)*-8. What is the remainder when l/42 - 326/(-4) is divided by 16?
15
Suppose 0 = 78*j - 98*j + 980. Calculate the remainder when 586 is divided by j.
47
Suppose -m = -14*m + 1313. Calculate the remainder when m is divided by 26.
23
Suppose 0 = n - 46 + 19. Calculate the remainder when -3*6/(-135) + (-4790)/(-75) is divided by n.
10
Calculate the remainder when 63 is divided by 3*((-496)/(-66) + (-6)/33).
19
Let x(c) = -c**3 + 15*c**2 - c + 11. Calculate the remainder when x(9) is divided by 160.
8
Suppose 2*z + 5*v = -139, -82 = 6*z - 5*z + 5*v. Let y = 76 + z. What is the remainder when y is divided by 6?
1
Let n = -89 - -93. What is the remainder when (-1)/n - (-72)/32 is divided by 2?
0
Suppose 3*y - 171 = -2*u, -2*y - 107 + 273 = 2*u. Let s = 24 - 9. Let j(v) = v**2 - 13*v - 10. Calculate the remainder when u is divided by j(s).
18
Suppose 2*q - 5*f = 4*q + 13, -4*f + 12 = 0. Let h = 47 - q. What is the remainder when h is divided by 16?
13
Let h(k) = -k**3 - 10*k**2 - 8*k + 18. Let t be h(-9). Suppose -16 - 20 = -t*l. Calculate the remainder when 10 is divided by l.
2
Let o = 4 + -31. Let p(b) = b + 37. Calculate the remainder when 17 is divided by p(o).
7
Calculate the remainder when -7*55/(-9) - 10/(-45) is divided by 26.
17
Let c(q) = -35*q + 17. Let d(o) = -20*o - 2. Calculate the remainder when c(-1) is divided by d(-1).
16
Suppose 2*l = -2*b + 102, -3*l = 2*l + 4*b - 253. Calculate the remainder when l is divided by 25.
24
Let j(q) = 16*q**3 - 1 + 9*q**3 - 16*q**3. Calculate the remainder when j(1) is divided by 0 - (-2 + (-3 - 1)).
2
Let i(a) = a**2 - 3*a. Let p be i(1). Calculate the remainder when 61 is divided by (-3 + -8)/(2/8*p).
17
Suppose -4*i + 5*h = -0*h - 1329, 2*i = -h + 675. Calculate the remainder when i is divided by 68.
64
Let r = -691 + 713. Suppose -3*a - 2*a - 375 = 0. Let h = a - -161. What is the remainder when h is divided by r?
20
Let g(w) = -2*w**3 - w**2 + 4*w + 3. Let s be (-3)/(-3 - 0)*-3. Suppose -764 = -46*c - 166. Calculate the remainder when g(s) is divided by c.
10
Let d = -1246 - -1283. Calculate the remainder when 251 is divided by d.
29
Let f(i) = i**3 - 10*i**2 - 10*i - 67. Calculate the remainder when f(12) is divided by 13.
10
Let l(y) = 3*y**2 - 22*y + 17. What is the remainder when l(15) is divided by 61?
57
Suppose -3*o + 3*f = -111, -o - 5*f + 8 = 1. Calculate the remainder when 52 is divided by o.
20
Suppose 8*n - 236 = 460. Calculate the remainder when n is divided by 39.
9
Let b(q) = -5*q**2 - 7*q + 6*q**2 + 7 - 2*q**2. What is the remainder when 47 is divided by b(-6)?
8
Suppose 0 = -2*o - 35 + 137. Calculate the remainder when o is divided by 22.
7
Let j(d) = -7*d + d**2 - 8 + 6*d + 0*d. Calculate the remainder when 82 is divided by j(5).
10
What is the remainder when 2/(2/12 - (-57)/(-414)) is divided by 3?
0
Let l(p) = p**3 + 7*p**2 + 4. Suppose 0*w - 30 = 5*w. Calculate the remainder when 78 is divided by l(w).
38
Let q(v) = v + 10. Suppose 15 = 3*p, 5*i - 5*p = -2*p + 415. Suppose -66 = -3*h - 3*m, i = 5*h - m - 2*m. What is the remainder when h is divided by q(0)?
9
Let z be ((-26)/3)/(3*2/(-72)). Suppose -4*q - z = -5*s, -s - 5*q + 0*q + 44 = 0. Calculate the remainder when 166 is divided by s.
22
Let m(s) be the second derivative of -s**3/6 + 13*s**2/2 - 11*s. Calculate the remainder when 4 is divided by m(10).
1
Let a be (3/(-9))/((-9)/(-81)). Let x = a + 6. Suppose -5*t + 14 = -x*p + p, -4*p = -3*t. Calculate the remainder when 3 is divided by p.
0
Let c(w) = -w**3 - 2*w**2 - w - 9. Let d be c(-3). Let p = 25 + d. What is the remainder when 249 is divided by p?
25
Suppose z - 5*o - 29 = 0, 2*o = -4*z - 3 + 9. Suppose 5*p - z = 71. Suppose 23 = 5*b - 4*y - p, 2 = -y. Calculate the remainder when 15 is divided by b.
3
Let h = -672 - -674. What is the remainder when 10 is divided by h?
0
Suppose -2*u = -3*u - 2. Let t be 3 - (-1 + u) - 2. Let x = t - -2. What is the remainder when 22 is divided by x?
4
Let z = -286 - -335. Calculate the remainder when z is divided by 8.
1
Suppose -5*g - 43 + 8 = 0. Let r be (g/(7/195))/(-1). Suppose r + 50 = 5*m. Calculate the remainder when m is divided by 17.
15
Let q be (-2 - 4/(-8))*-2. Suppose -5*k + 11 = -2*v, -q*v + 15 = 3*k - 0*v. What is the remainder when 17 - -1*(k - 5) is divided by 6?
3
Suppose -4 = w - 7. Suppose 0*x + 13 = x + w*j, 0 = x - 3*j - 7. Calculate the remainder when 67 is divided by x.
7
Let w(y) = -13*y**3 + 2*y - 2. Let t(d) = 65*d**3 - 10*d + 10. Let v(r) = -2*t(r) - 11*w(r). Calculate the remainder when 87 is divided by v(1).
9
Suppose -c + 35 = -107. Suppose -46 = u - c. What is the remainder when u is divided by 11?
8
Let u(c) = -3*c - 3. Let o be u(-2). Suppose 5 = -2*x + o. Let t(w) = 46*w**2 + w. Calculate the remainder when t(x) is divided by 23.
22
Suppose 3*k = -4*g + 97, -67 = -2*k - 5*g - 0*g. What is the remainder when 617 is divided by k?
28
What is the remainder when 19 is divided by (4*(-85)/102)/(2/(-6))?
9
Let c = -114 - -196. Let v = -10 - 14. Let j = v - -52. Calculate the remainder when c is divided by j.
26
Let v(q) = -67*q - 175. What is the remainder when v(-6) is divided by 116?
111
Let q(x) be the second derivative of 23*x**3/6 - x**2 + 6*x. Let n be q(2). Calculate the remainder when (20/(-8) + 3)*n is divided by 13.
9
Let u(y) = 3*y + 80. What is the remainder when 201 is divided by u(-17)?
27
Let x(t) = -2*t**2 + 10*t - 4. What is the remainder when 116 is divided by x(2)?
4
