4
Suppose 0 = 2*d - 5*j - 39, 5*d - 9*j - 55 = -5*j. What is the remainder when 436 is divided by d?
2
Let d(a) = 13*a - 362. What is the remainder when 75 is divided by d(31)?
34
Suppose -5*g - m = -3 - 0, 3*g - 9 = -3*m. Suppose -4*k + g + 24 = 0. Calculate the remainder when k is divided by 2.
0
Let w = 273 - 268. Suppose 2*a = -3*d + 6, 0 = -d - 0*d - 5*a + 15. Calculate the remainder when w is divided by (-3)/(-3 - d) - -2.
2
Suppose 3*j + 136 = 7*j. Calculate the remainder when 439 is divided by j.
31
Let n = 9 + -1. Let m be 2/(24/(-20))*-3. Suppose 3*d + y = 72, -4*y + 86 = m*d - 41. Calculate the remainder when d is divided by n.
7
Suppose -2*z + 2*h + 8 = 0, z - 2*z + 4*h = -4. Suppose 3*g - 69 = -0*g + 5*l, -124 = -z*g - 4*l. Calculate the remainder when g is divided by 15.
13
Suppose -5*s + n + 7 = 0, 11*s - 2*n = 10*s - 4. Suppose -s*x = -69 - 35. What is the remainder when x is divided by 11?
8
Let t(c) = 0 - 11*c + 0 + 0 - 10 - c**2. Let p(r) = r**3 - 11*r**2 - 13*r + 27. What is the remainder when p(12) is divided by t(-9)?
7
Suppose 2*p = -4*s + 4, 0*s - 2*s = -5*p - 14. Suppose -s*n = 3*n + 75. What is the remainder when (-16 - n)/(1/(-57)) is divided by 30?
27
Calculate the remainder when 3 + 2636/12 + (-1)/(-3) is divided by 16.
15
What is the remainder when 2/7 - -962*(-1)/(-14) is divided by 14?
13
Let z(s) = 26*s + 612. Calculate the remainder when 1516 is divided by z(-22).
36
Suppose 3*t - 5 = 2*x + 4, 9 = -5*x + 3*t. Suppose 3*r + x = 117. Suppose 3*s = 15, -2*z - 120 = -7*z - 3*s. What is the remainder when r is divided by z?
18
Let u(d) = -d**3 - 11*d**2 - 14*d + 4. Let c be u(-10). Suppose -20 = 3*p - 5*p - z, -4*p + c = 4*z. Calculate the remainder when 23 is divided by p.
5
Suppose -11*w + 1948 + 593 = 0. What is the remainder when w is divided by 77?
0
Let y(s) = 9*s**2 + 39*s - 32. Calculate the remainder when 230 is divided by y(-6).
56
Let l be 2/(-10) + 184/20. Let p = -8 + l. Calculate the remainder when 2 is divided by (9 - 9) + 2*p.
0
Let q = -3 + 7. Let g be ((-3)/9)/(q/(-12)). Suppose -l = -g, 11 = -0*k + 2*k - 5*l. Calculate the remainder when k is divided by 2.
0
Suppose 180 = 13*m - 67. Suppose 4*k - 360 = 5*d, 4*d + 292 = k - 7. Let b = d + 111. What is the remainder when b is divided by m?
16
Suppose 26 = -4*a - 2*b, a - 2*b = 6*a + 34. Let t(c) = 4 - 14*c**2 - 1 + 7*c - 10*c**2 + 25*c**2. Calculate the remainder when t(a) is divided by 6.
5
Let y = 13 - 25. Suppose 0 = -4*t - 44 + 104. What is the remainder when 11 is divided by y/(-30) - (-39)/t?
2
Let o be 1*6*((-35)/(-10) + -3). Suppose -3*p = -o*v + 72, 0*v + v - 5*p - 16 = 0. What is the remainder when v is divided by 6?
2
What is the remainder when 21 is divided by (15/(-10))/(3/(-11))*2?
10
Let f be (-3)/(4 + -3) - -93. Suppose -c + f = 27. Calculate the remainder when c is divided by 11.
8
Suppose -5*t - 80 = -3*p, -p - 4*t = -8*t - 15. Let u be p*(-1 - (-36)/20). Suppose u = -0*k + k. Calculate the remainder when k is divided by 10.
8
Suppose 4*f - f + 2*o = 61, 2*f = -4*o + 54. Calculate the remainder when 145 is divided by f.
9
Let w(r) = -r**3 - 4*r**2 + 7*r + 12. Let b be w(-4). Let n = -9 - b. What is the remainder when 13 is divided by n?
6
Suppose -3*y - 4*f + 76 = 0, 68*y = 71*y - 3*f - 48. Calculate the remainder when 56 is divided by y.
16
Let a be (-6)/36 - 49/(-6). Let t be 5/20 + (-2)/a. Suppose t*j = -2*j - 3*q + 25, 4*j + 3*q - 53 = 0. What is the remainder when 26 is divided by j?
12
Let s = 788 + -718. Calculate the remainder when 153 is divided by s.
13
Let c(g) = g**3 + 17*g**2 + 30*g - 268. Let s(l) = 2*l**2 - 2*l - 6. Calculate the remainder when s(-4) is divided by c(-13).
16
Let g be (7/(-14))/((-2)/(-4)). Calculate the remainder when (9/(9/(-46)))/g is divided by 16.
14
Calculate the remainder when 0 + -1*(-2988)/9 is divided by 21.
17
Let z(b) = -b**3 - 35*b**2 - 32*b + 21. Let d be z(-34). Let h = -43 + 17. Let a = h - d. What is the remainder when a is divided by 8?
5
Suppose 3 = -4*z + 19. Suppose w + 90 = 270. Suppose z*u - w = -u. What is the remainder when u is divided by 13?
10
Let l(g) = 41*g**2 + 243*g - 6. What is the remainder when 537 is divided by l(-6)?
9
Suppose 12*d - 7*d - 3680 = -5*b, -2*d = 4*b - 2952. Calculate the remainder when b is divided by 124.
120
Let k = 40 + -26. Let a = k - 11. What is the remainder when 13 is divided by a + (-7)/(28/(-8))?
3
Suppose 4*s + 26 = 6, -2*s - 403 = -3*o. Let r be -94 - (3/3)/(-1). Let k = o + r. What is the remainder when k is divided by 10?
8
Let c = 1207 - 1187. What is the remainder when 759 is divided by c?
19
Let v = -32 - 13. Suppose -d - 2 + 5 = 0. What is the remainder when d is divided by ((-4)/(-6))/((-10)/v)?
0
Let j = 5 + -5. Suppose 4*v - 280 = -j*v + r, 5*r - 280 = -4*v. Calculate the remainder when 2 - (2 - v/2) is divided by 12.
11
Suppose 0 = 2*u + 9 - 99. Calculate the remainder when u is divided by 18*((-1)/(-6) + (-84)/(-168)).
9
Let h(u) = u**3 + 22*u**2 - 5*u - 45. Suppose g - 1 = 0, -2*g - 18 = -i + 2*g. Calculate the remainder when h(-22) is divided by i.
21
Let f = -45 + 99. Let g(p) = -p**2 + 12*p - 22. Calculate the remainder when f is divided by g(6).
12
Let h = 20 + 35. Let k be 20/110 + 548/11 + 2. Calculate the remainder when h is divided by k/4 + ((-2)/2 - -2).
13
Calculate the remainder when 341/55*6*5 is divided by 94.
92
Let o = -91 - -151. What is the remainder when o is divided by (-667)/(-4669) - (320/(-14) + 1)?
16
Let k(x) = x**3 - 3*x**2 - x - 14. Let a be k(-6). Calculate the remainder when 1/((-4)/a) - 0 is divided by 14.
13
Let f = 27 - 24. What is the remainder when -3*(3 - (5 + f)) is divided by 10?
5
What is the remainder when 38 is divided by 7 + 5 + (-3 - 17)/5?
6
What is the remainder when 154 is divided by (3 + -69)/(2*6/(-12))?
22
Let h = -31 - -65. Suppose -2*m - 3*a = a - h, 0 = m - 5*a - 45. Let x = 48 - m. What is the remainder when x is divided by 13?
10
Let h(o) = o**3 - 16*o**2 - 19*o - 50. What is the remainder when h(18) is divided by 67?
55
Suppose -3*o = 2*o - 10. Let p = 4 - o. Suppose 4*r = -p*y + 6, 3*r - 51 + 14 = -4*y. What is the remainder when 50 is divided by y?
11
Let p be -18*(4 + 58/(-4)). Let f = 286 - p. What is the remainder when f is divided by 33?
31
Suppose 6 = 3*t, -3*q + 58 = 2*t - 246. Suppose -5*v + 129 = 3*z - q, 3*z - v = 235. Calculate the remainder when z is divided by 27.
24
Let l(r) = r**2 + r + 11. Let g(t) = -2*t + 39. Let b be g(23). Let f = -9 + 18. Calculate the remainder when l(b) is divided by f.
8
Suppose -11*n = -6*n - c - 76, -5*n = 4*c - 96. Suppose 6*z - z - 230 = l, 0 = -z + 5*l + 22. Calculate the remainder when z is divided by n.
15
Suppose 10 = 2*t - 7*t. Let g be 3/t*32/24. Let b(i) = -33*i - 2. What is the remainder when b(g) is divided by 13?
12
Let c be (-1)/(-2*(-4)/(-144)). Suppose 4*y - y - c = 0. Suppose 0 = -57*i + 54*i + 63. Calculate the remainder when i is divided by y.
3
Let k = -73 + 90. Let q(w) = -w + 15. Calculate the remainder when k is divided by q(10).
2
Let m = 452 + -414. What is the remainder when 338 is divided by m?
34
Suppose -18 = -6*r + 3*r. Suppose -p - 2 = -r. Suppose -c - 4*f = p*c - 85, -5*f = -25. What is the remainder when 63 is divided by c?
11
Let r be ((-57)/133)/((-2)/14). Suppose 3 - 13 = -5*s + i, 0 = -5*s - r*i + 30. Calculate the remainder when (-2 - (-2 - 7)) + -2 is divided by s.
2
Let r = -464 + 477. Calculate the remainder when r is divided by 7.
6
Suppose 2*a + 48 = 6*a. Suppose 3*n = 54 - a. Suppose 3*u - 4*x = 31, -5*x - 41 = -6*u + 2*u. What is the remainder when n is divided by u?
5
Let s(v) = 5*v**2 + 30*v + 72. Calculate the remainder when (5/(-2))/(1/(-18)) is divided by s(-2).
13
Let i(s) = -s**3 - 5*s**2 - 10*s - 18. Let b = 17 + -13. What is the remainder when i(-4) is divided by b?
2
Suppose -12*q = -7*q - 70. Suppose j + 0*j - 2 = 0. Calculate the remainder when (j/(-1) - -2) + 40 is divided by q.
12
Suppose -68 = -4*q + 5*g + 752, 0 = -3*q - 2*g + 592. Let t = q - 132. What is the remainder when t is divided by 18?
14
Let w be (-6)/4*36/(-27). Suppose -w*n - 9 = -5*n. What is the remainder when n is divided by 1?
0
Suppose -3*o + 4*u = -202, 3*u - 194 = -3*o - u. Suppose -5*p + 244 + o = 