6
Let r(u) = -u**2 + 10. What is the remainder when (-21 + 2)/((-4)/12) is divided by r(0)?
7
Let b = -10 - -15. What is the remainder when 14 is divided by b?
4
Suppose 0 = -b + 3*o + 52, 2*b - 100 + 3 = -o. Suppose -3*h - 3*i = -81, -h - 4*h = -4*i - 153. Calculate the remainder when b is divided by h.
20
Suppose 3*m + 4*z - 40 - 25 = 0, 3*m - 40 = z. Suppose 93*n - 1511 = 3883. Calculate the remainder when n is divided by m.
13
Let i(p) = p**3 + 9*p**2 - 21*p + 15. Let r be i(-11). Suppose -r*k + 22 = -3*k. Calculate the remainder when 81 is divided by k.
15
Suppose -85 - 85 = -2*s. Suppose -80 - s = -11*u. What is the remainder when 89 is divided by u?
14
Suppose 2*m - 14 = -v, -1 = 2*v - 4*m + 3. Suppose -v*x + 3*x = -36. Calculate the remainder when 10 - x - -19*1 is divided by 6.
5
Let b(u) = u**3 + 2*u**2 - 8*u + 4. Let x be b(-4). Suppose -5*m + 5*d = 0, 2*m + d = -1 + x. Calculate the remainder when 1 is divided by m.
0
Suppose 5*z - z - 20 = 0. Let g be ((-12)/3 - -4) + z. Suppose -9*l + 4*l + 95 = -3*t, -89 = -4*l + g*t. What is the remainder when 63 is divided by l?
15
Suppose 127 = 8*j - 81. Calculate the remainder when 49 is divided by j.
23
Let a = 6 - -14. Suppose 0 = -2*t - 3*u + 62, -15 = -t + 3*u + 34. Calculate the remainder when t is divided by a.
17
Let s(m) = -4*m - 4. What is the remainder when (-320)/(-35)*4 + 124/(-217) is divided by s(-3)?
4
Let n(v) = -8*v + 16. What is the remainder when n(-8) is divided by 38?
4
Calculate the remainder when 207 is divided by 17/(34/(-12))*-7.
39
Let o = 269 + -255. What is the remainder when o is divided by 5?
4
Suppose 2*a + 4 + 7 = 5*r, -a + 5*r = 18. Suppose 5*n - 2*n = 9. Suppose 4*z - 2*d - 3*d = 113, -z = n*d - 24. What is the remainder when z is divided by a?
6
Suppose 53 - 29 = 3*m. Suppose m*v - 54 - 130 = 0. What is the remainder when v is divided by 5?
3
Let i(n) = 2*n**3 + 4*n**2 + 3*n + 1. Let m be i(-2). Suppose -4*t - 1 = -13. What is the remainder when (-782)/(-85) - 4/m is divided by t?
1
Let i(k) = 10*k - 2 + 7*k - 3*k + k**2. Let s = 17 - 12. Calculate the remainder when i(-15) is divided by s.
3
Let g be ((-58)/(-8) + -4)*4. Suppose -2*d + 4*b + 58 = 0, -3*d + b + 112 = -0*d. Calculate the remainder when d is divided by (-12 - g)*(-2)/5.
9
Let y = -27 + 87. Suppose -20 = y*s - 65*s. What is the remainder when 51 is divided by s?
3
Suppose -7*a + 9*a = -3*l + 186, -79 = -l + 5*a. Calculate the remainder when l is divided by 35.
29
What is the remainder when 280 is divided by (82 - 7) + -2 + -2?
67
Suppose 8*l + 40 = 10*l - 4*v, 0 = -8*l + 2*v + 104. Let n(s) = s**3 - 4*s**2 + s + 4. Calculate the remainder when l is divided by n(4).
4
Suppose 0 = -4*f, 4*i - 51 = -2*f + 9. Let q(k) = -8 + 1 - 8*k - 5*k. Calculate the remainder when q(-5) is divided by i.
13
Suppose 3*w + 2*h = -4, 2*w - 15 = -3*w + h. Let a(l) = 18*l**2 - 7*l + 9. Suppose -37 = -3*c + 5. What is the remainder when a(w) is divided by c?
11
Let g = 487 + -445. What is the remainder when 125 is divided by g?
41
Let r be -2 + (9 + 3 - 1). Suppose 0 = -r*x + 13*x - 372. What is the remainder when x is divided by 19?
17
Suppose 0 = -3*o - 3*k + 675, 0 = -5*o + 40*k - 38*k + 1111. Calculate the remainder when o is divided by 76.
71
Suppose -39*k = -44*k + 120. Suppose 4*f - k = 8. What is the remainder when 38 is divided by f?
6
Let g be 1*12/3 + 1*-3. What is the remainder when 10 is divided by (7 + -2 + 1)/g?
4
Suppose 27*b - 18547 = -2347. Calculate the remainder when b is divided by 101.
95
Let v(r) = 24*r - 46. Calculate the remainder when 54 is divided by v(3).
2
Let n = -242 + 268. What is the remainder when 30 is divided by n?
4
Suppose 4*j = j + 12. Let d(t) = 3 + 0 - 2*t - 1 + 3*t. Calculate the remainder when 17 is divided by d(j).
5
Suppose 2*a + 3*u = 1, 0 = 5*a - 3*u - 20 + 7. What is the remainder when (-8)/(-16)*(a + -2 + 126) is divided by 16?
15
Suppose 2*v - v - 15 = 0. Let a = 93 - 49. What is the remainder when a is divided by v?
14
Suppose 36 = -4*n - 0*n. Calculate the remainder when 65 is divided by (-3 + 24/n)*-3.
14
Let f(h) = -h**3 + 14*h**2 + 67*h - 42. What is the remainder when f(17) is divided by 8?
6
Let n be (1 - -2)*158/(-6). Let a = -111 - n. Let z = a - -113. Calculate the remainder when z is divided by 21.
18
Suppose 2*k + 3*i = 231, -2*i = -k + 5*k - 442. What is the remainder when k is divided by 14?
10
Suppose 0*l + 300 = 5*l. What is the remainder when 59 is divided by (l/(-8)*-1)/((-1)/(-2))?
14
Suppose -176 = -p + 4*t, -p = t + 2*t - 197. What is the remainder when p is divided by 48?
44
Suppose 0 = 2*i + 2*v - 70, -8 = 2*v + 2*v. Suppose -30 = -5*b + 2*b. What is the remainder when i is divided by b?
7
Let l be -4 + (-76)/(-4)*1*1. What is the remainder when 23 is divided by 50/l*36/20?
5
Suppose 35*o = 49*o - 5026. Calculate the remainder when o is divided by 12.
11
Suppose 0 = 3*s, -2*g + 93 = s - 25. Suppose 58*d + 120 = -59*d + 125*d. What is the remainder when g is divided by d?
14
Let m(s) = 53*s**2 - s - 1. Let n = -211 - -229. What is the remainder when m(-1) is divided by n?
17
Let w(s) = s**3 - 7*s**2 + s - 30. What is the remainder when 76 is divided by w(8)?
34
Suppose -2*c + 2*d + 32 = -12, -2*d = -5*c + 113. Suppose 12 = t + 8. Let o(u) = 4*u - 3. What is the remainder when c is divided by o(t)?
10
Suppose -k + 3*h = 10 - 2, -2*h = 3*k - 20. Let m = 16 - 9. Let z(q) = q**3 - 6*q**2 - 5*q - 6. What is the remainder when z(m) is divided by k?
0
Suppose -2*d - 237 = -5*d. Let a = 200 + -160. Calculate the remainder when d is divided by a.
39
Let o be (6/(-12))/((-2)/8). Suppose -4*s - 3*q = -2*s + 456, 5*q = -o*s - 456. Let w = -162 - s. What is the remainder when w is divided by 34?
32
Suppose 0 = -3*d + i + 84, 0 = 6*d - d - 4*i - 140. What is the remainder when 77 is divided by d?
21
Let b = -33 + 37. Suppose 5*g - 719 = -0*g - o, -4*g + 580 = -b*o. Calculate the remainder when g is divided by 37.
33
Suppose 88 + 920 = 8*m. What is the remainder when m is divided by 38?
12
Let j(d) = -17*d**3 + 5*d**2 + 2*d + 3. Calculate the remainder when j(-3) is divided by 12.
9
Suppose -5*q - 1846 = -3*f + 789, q - 2659 = -3*f. Calculate the remainder when f is divided by 12.
9
Let o(a) = -a**3 - 4*a**2 + 8*a + 3. Let k be o(-6). Suppose -3*y + 166 - k = 5*i, -2*i + 45 = y. Calculate the remainder when y is divided by 14.
11
Suppose 4*g - 524 = -4*a, 0 = 4*g - 12*a + 8*a - 508. Calculate the remainder when g is divided by 26.
25
Let d = 148 + -90. Suppose 36 = 2*p + p - 3*s, 0 = 3*s - 6. Suppose 0 = -10*l + p*l - 40. What is the remainder when d is divided by l?
8
Let d = -232 + 328. What is the remainder when 764 is divided by d?
92
Let f be 10/(-45) + 58/18. Let x be -22 + (4 - f - -1). Calculate the remainder when 32/x*50/(-4) is divided by 7.
6
Let j(x) = 18*x - 20. Let h = 1 - -58. Calculate the remainder when h is divided by j(2).
11
Let k = 241 - 155. Let s(b) = -2*b**2 + 64*b + 165. What is the remainder when k is divided by s(34)?
28
Let w = -33 - -21. Let z = 14 + w. What is the remainder when 11 is divided by z?
1
Let x be 0 - (-1 - -5 - 8). Suppose 0 = x*m - 5 - 23. Calculate the remainder when 39 is divided by m.
4
Let z(g) = -g**2 + 7*g - 6. Let p be z(5). Suppose 4*y = 4 + p. Suppose 0 = 5*m - 5*l - 15, -m - 4*l = -16 + 3. Calculate the remainder when m is divided by y.
1
Let w(b) = 13*b + 160. Calculate the remainder when 191 is divided by w(-12).
3
Let z be 45*(-8)/(160/(-12)). Let g = z + -15. Suppose -2*a + 0*a = 3*v - 95, 0 = -v + 1. Calculate the remainder when a is divided by g.
10
Let l(o) = 2*o**3 - 6*o**2 - 2*o + 7. Suppose -g = 3*c - 24, g - 30 = 4*c - 5*c. Calculate the remainder when l(5) is divided by g.
31
Suppose 84 = 2*f + 2*o - 6*o, -54 = -f + 5*o. Suppose w = 3*k + 182 - 224, -2*w = 0. Calculate the remainder when f is divided by k.
6
Let h = -1754 - -1806. Calculate the remainder when h is divided by 39.
13
Let j = 37 - 32. Suppose 2 = -3*s - 5*g - 9, -g = 3*s - j. Calculate the remainder when 6 is divided by s.
0
Let c = 59 - 56. Suppose c*n = -2*r + 45, 5*n = r - 2 - 1. Calculate the remainder when r is divided by 3.
0
Suppose -3*t - 2*y = -102, -4*y + 63 = 2*t - 5. What is the remainder when 35 is divided by t?
1
