0 = 4*a - 5 - 71. Suppose -4*c + 3*c - 352 = 0. Calculate the remainder when 4/(-20) + c/(-10) is divided by a.
16
Suppose 2*c = -o + 18, 0*c + 4*o + 19 = 5*c. Suppose 138 = -c*r + r. Let b = -15 - r. Calculate the remainder when b is divided by 5.
3
Let z be 50/(-20)*16/(-5). Let h = -245 + 521. Calculate the remainder when -2*(1 - h/z) is divided by 23.
21
Let y be 2*4/(16/6). Let g be y/15 - (-69)/5. Suppose 4*j - 30 = g. Calculate the remainder when 53 is divided by j.
9
Let z(i) = -i**3 - i - 3*i - 3*i - 3 + 4*i. What is the remainder when z(-2) is divided by 9?
2
Suppose 4*f + 4 = 0, 5*x = 2*x + 4*f + 25. Let r(g) = -g**2 + 8*g - 2. Let b be r(x). Suppose -b*i + 60 = -3*i. Calculate the remainder when i is divided by 16.
14
Suppose 9*q + 82 = 550. Let l = q + -39. What is the remainder when 24 is divided by l?
11
Let y = -49 + 45. Suppose 2 = -3*v + 20. Calculate the remainder when 2 - (-2 - y)*-7 is divided by v.
4
Let i be (-4)/(-12) - (-1320)/9. Let h = i - 45. What is the remainder when h is divided by 21?
18
Let m(y) = -y**2 - 3*y + 8. Let w be m(-4). Suppose -48 = -2*q + u + w*u, 4*q = 5*u + 86. What is the remainder when q is divided by 10?
9
Let a(x) = 4*x**2 - 5*x - 5. Let d = 38 - 40. Suppose -2*k = -11 - 5. Calculate the remainder when a(d) is divided by k.
5
Calculate the remainder when (-128)/60 - -2 - 57470/(-150) is divided by 55.
53
Let h(z) = -2*z**3 - 91*z**2 + 48*z + 107. Let v = 1 + -6. Let n(i) = 2*i**2 - i + 3. Calculate the remainder when n(v) is divided by h(-46).
13
Let u be 8/10 - (-55)/25. Suppose -u*i - 3*i + 6 = 0. Suppose 5 = 4*v + 1. What is the remainder when v is divided by i?
0
Let g(z) = z**2 - 8*z - 35. Calculate the remainder when g(14) is divided by 11.
5
Let f(c) = c**3 + 26*c**2 - 34*c + 108. What is the remainder when f(-27) is divided by 34?
25
Let f = 27 - 54. Let m be (f/(-6))/(9/(-12)). Calculate the remainder when 14 is divided by ((-2)/m)/(9/135).
4
Suppose 4 = 3*v + v. What is the remainder when 4/2 + 3 + 12 is divided by 4/v*15/10?
5
Suppose a - 2*j - 6 = 22, a = -3*j + 13. Suppose -27*z - 39*z = -462. What is the remainder when a is divided by z?
1
Suppose -g + 65 = 4*j, 7*j - 2*g = 2*j + 78. Calculate the remainder when -12 - -77 - (3 + 4) is divided by j.
10
Suppose 14*c + 47 = 15*c. Suppose -2*v = 5*f - 9, -2*v + 3 = 4*f + v. What is the remainder when c is divided by -1 + 25/3*f?
23
Suppose 5*x = 20 + 110. Suppose -10*s + 0*s = 3*s. Suppose s = -n - 7*n + 72. What is the remainder when x is divided by n?
8
Suppose 72 = 2*w + 22. Suppose c = 3*g + 14, -4*c - 3*g + w = -1. Calculate the remainder when 30 is divided by c.
6
Let r = -843 + 852. Suppose 42 = 3*c - 2*c. What is the remainder when c is divided by r?
6
Let n = -5 + 1. Let f(k) be the third derivative of k**5/60 - k**4/24 - k**3/3 - 13*k**2. Calculate the remainder when f(n) is divided by 7.
4
Let c(o) = 2*o**2 + o + 3. Suppose -2*x + 140 = 4*b, 5*b = -5*x + 264 - 84. Calculate the remainder when b is divided by c(-3).
16
Suppose 0 = 2*w - 2*t - 184, w + 3*t + 64 - 176 = 0. What is the remainder when w is divided by 12?
1
Suppose 5 = 6*c - 79. Let y = 14 + -2. Suppose p + y - 39 = 0. What is the remainder when p is divided by c?
13
What is the remainder when (-2)/(-3) - (-11956)/183 is divided by 32?
2
Suppose 3*p - 296 = 103. Let z(b) = b**3 - 16*b**2 + 5*b - 46. What is the remainder when p is divided by z(16)?
31
Let k(c) = 4*c + 86. Calculate the remainder when k(-19) is divided by 5.
0
Suppose -o - 3*o = -108. Suppose -14 = -j + o. What is the remainder when 120 is divided by j?
38
Suppose -17*u - 129 = -588. Calculate the remainder when 483 is divided by u.
24
Let x(a) = a**3 - 8*a**2 - 10*a + 13. Let z be x(9). Suppose r = -4*u + 2*r + 22, z*u = 2*r + 20. Calculate the remainder when 46 is divided by u.
4
Suppose -3*h + 360 = -3*l, -h + 14*l = 18*l - 140. What is the remainder when h is divided by 22?
14
Suppose 2*t + n = 481, n - 20 = -3*n. Calculate the remainder when t is divided by 49.
42
Let c(j) = j**3 + j**2 + j + 5. Let d be c(0). Suppose 5*i = -5*o + 560, o + o = d*i - 532. Calculate the remainder when i is divided by 22.
20
Let m(o) = -6*o + 4. Calculate the remainder when m(-7) is divided by 26.
20
Suppose 0 = -32*q + 37*q - d - 48, -3*q + 15 = 4*d. What is the remainder when 564 is divided by q?
6
Let j = 12 - 9. Let z be j/6*6 - 0. Suppose -12 = z*f - 5*f. What is the remainder when 15 is divided by f?
3
Let h be 17 + (2 - 1) + -1. What is the remainder when 51 is divided by h + 1 - (10 - 10)?
15
Let w be 6/14 - ((-442)/14 + 0). Let k = w + 6. Calculate the remainder when 149 is divided by k.
35
Suppose -15*u + 320 - 35 = 0. What is the remainder when 54 is divided by u?
16
Let m be 36 + (-2 - -3) + -1. Suppose 286 = 5*d + m. What is the remainder when 146 is divided by d?
46
Suppose -1882 = -82*r - 570. What is the remainder when 734 is divided by r?
14
Let c be -2 - -8 - (2 + 0). What is the remainder when (0 - 1) + c*(-39)/(-12) is divided by 5?
2
Let q = -484 + 827. What is the remainder when q is divided by 116?
111
Let w(y) = -5*y**3 - 1 + 3*y**3 - 6*y**2 + y**3 - 10*y. Let l be w(-5). Let g = l + -12. What is the remainder when 33 is divided by g?
9
Let h be (4 + -1)/(2 + -1). Let o(x) = 7*x - 3. Let u(s) = 6*s - 4. Let q(i) = 3*o(i) - 2*u(i). What is the remainder when q(h) is divided by 7?
5
Let v = -539 + 549. What is the remainder when 88 is divided by v?
8
Suppose -5*t = b + 17 - 38, -5*b = -t - 79. Suppose 0 = q + 4*q - 635. What is the remainder when q is divided by b?
15
Suppose -599 - 353 = -34*c. Suppose -2*r - 326 = -4*a, 323 = -0*a + 4*a + r. What is the remainder when a is divided by c?
25
Suppose 7*s - 216 = 3*s. Let d = 74 - s. What is the remainder when d is divided by 8?
4
Suppose 4*g + 0 = -3*c - 5, 3*g + 4 = -2*c. Suppose r - 687 = -5*q, 365 - 104 = 2*q + 5*r. Calculate the remainder when q is divided by (-2 - 33)/(2/g).
33
Let i(w) = w + 19. What is the remainder when 209 is divided by i(11)?
29
Let z = -356 + 360. What is the remainder when 27 is divided by z?
3
Let o(h) = 4*h**2 - 8*h + 2. Let w be o(6). Let d be 86/(-6)*(2 + 1). Let f = w + d. Calculate the remainder when f is divided by 19.
17
Let r(t) = 8*t**2 - 3*t - 6*t + 2*t - 11 - t**3. Calculate the remainder when 71 is divided by r(6).
14
Let o = 1199 - 1163. Calculate the remainder when 58 is divided by o.
22
Let q(x) = 145*x + 62. What is the remainder when q(1) is divided by 18?
9
Let q = 23 - 20. Suppose 0*m + 12 = 4*m, 2*m = -q*z + 84. Suppose 0 = -3*w + z + 13. What is the remainder when w is divided by 8?
5
What is the remainder when -1 + 2/(5/((-415)/(-2))) is divided by 28?
26
Let a = 250 + -143. Suppose -l + 87 = 4*n + 4*l, -a = -4*n - l. What is the remainder when n is divided by 11?
6
Let m(l) be the third derivative of -l**4/4 + l**3/6 - 34*l**2. Calculate the remainder when m(-18) is divided by 22.
21
Let v(y) = 53*y - 305. Calculate the remainder when v(9) is divided by 8.
4
Suppose -398 = -11*w - 123. What is the remainder when 197 is divided by w?
22
Let z = -3498 - -3505. Let j = -82 + 121. What is the remainder when j is divided by z?
4
Suppose 2*f - 43 - 41 = 0. Let y be -1 - (3 - (-16)/(-2)). Calculate the remainder when f is divided by y + (-36)/(-4) + -2.
9
What is the remainder when (-14917)/(-21) + ((-25)/(-15) - 3) is divided by 23?
19
Suppose -13086 = -36*b + 26622. Calculate the remainder when b is divided by 85.
83
Suppose -43*r - 133 = -1681. What is the remainder when 610 is divided by r?
34
Suppose 18*g = 30*g - 576. What is the remainder when 189 is divided by g?
45
Let u be 2 - (-2 + 3) - -33. Let c = u - -54. Calculate the remainder when c is divided by 18.
16
Let x = -83 + 98. Suppose -6*t + 153 = -147. What is the remainder when t is divided by x?
5
Let v be -6*(14/(-6))/7. Suppose 2*i - 41 = -4*x - 3*i, v*x + 5*i - 23 = 0. Calculate the remainder when 114 is divided by x.
6
Let d = 126 + -81. Calculate the remainder when d is divided by (270/(-450))/(1/(-20)*1).
9
Let s(m) = -3*m**3 + 14*m**2 - 21*m + 76. Suppose -186 = -2*r - 2*x, 93 = r - 3*x - 2*x. Calculate the remainder when r is divided by s(4).
21
Let c = 5 - 5. Suppose c*m = -m + 32. Calculate the remainder when m is di