 s(y) = -y**3 - 15*y**2 - 14*y + 42. Let h be s(-14). Suppose -2*t + 4*z + h = -t, 3*z = -4*t + 244. Calculate the remainder when t is divided by 20.
18
Let z = 7477 + -3436. Calculate the remainder when z is divided by 12.
9
Let p(t) = -t**2 + 3*t + 654. Let r be 31/((-2)/(0 + 2)). Let u = 59 + r. What is the remainder when u is divided by p(27)?
4
Let t = 1311 - 1072. What is the remainder when t is divided by (2/(-3))/((-7)/504)?
47
Suppose -4*u - 1783 = -20095. Suppose 55*i - u = 1912. Calculate the remainder when i is divided by 1 + -1*(-1 + -22).
22
Suppose -3*q = q - 80. Suppose 160 = 3*t + 2*k, -126 = -2*t - k - 21. What is the remainder when t is divided by q?
10
Suppose 4*o = 2*o + 52. What is the remainder when (-263)/(-3) + 265/(-159) - -6 is divided by o?
14
Suppose -8185*b + 8191*b - 2538 = 0. What is the remainder when b is divided by 51?
15
Let q(s) = s**3 + 6*s**2 - 7*s + 3. Let n(p) = p**2 + 10*p - 283. Calculate the remainder when q(-6) is divided by n(13).
13
Suppose 5*g + 625 = 5*l - 0*g, 3*l + 4*g = 375. Suppose -l = -0*p - 5*p. Let r = 41 - p. What is the remainder when 31 is divided by r?
15
Let f(r) = -r**3 + 24*r**2 - 44*r + 17. Let t be f(22). Let x(h) = h**2 - 22*h + 118. What is the remainder when 215 is divided by x(t)?
17
Suppose -5*u + 4*m = -464, -4*u = 3*m - 143 - 222. What is the remainder when 348 is divided by u?
72
Let m = -67 - -75. Suppose 0 = -13*s + 11*s + m. Calculate the remainder when (-31 + 60)/(1/s) is divided by 20.
16
Suppose 0 = -3*f + 178 - 61. Let l = 163 - 352. Let j = 197 + l. What is the remainder when f is divided by j?
7
Let x = -6821 + 6848. Calculate the remainder when 419 is divided by x.
14
Suppose 2*p + 22*p - 264 = 0. Suppose 16*i + 509 = 3*b + p*i, -4*b + 692 = -4*i. What is the remainder when b is divided by 20?
18
Let h = 3795 + -858. Calculate the remainder when h is divided by 52.
25
Suppose l + 3 = -1. Let f = -8 - l. Calculate the remainder when 16 is divided by f/14 + 93/7.
3
Let l = 3092 + -2981. What is the remainder when 648 is divided by l?
93
Let m = 12929 + -12893. Let o = 74 - -213. Calculate the remainder when o is divided by m.
35
What is the remainder when ((-3)/(-6))/((-11)/(-19976)) is divided by 907?
1
Let k(s) be the second derivative of 2*s**3 + 21*s**2/2 + 55*s. Let z(r) = -r**3 + 5*r**2 + 6*r + 6. Calculate the remainder when k(4) is divided by z(5).
33
Let t = 87 - 133. Let c(p) = p**3 + 13*p**2 - 19*p + 11. Let s be c(-14). Let j = s + t. Calculate the remainder when j is divided by 12.
11
Suppose -17*k - 30 = -12*k. Let n be (-1)/(2/(k/3)). Let p = n - -11. What is the remainder when p is divided by 4?
0
Let w(b) = 2*b**2 - 98*b + 477. Calculate the remainder when 697 is divided by w(5).
31
Let t = -28 + 188. Calculate the remainder when t is divided by (54/4)/((-6)/(-12) + 0).
25
Let m be (59 - (0 + -1)*-1)/2. Let c = -173 + 189. Suppose c = -p + m. What is the remainder when 90 is divided by p?
12
Let c be (-3)/(-3)*-4 + 12. Suppose 6 - c = v. Calculate the remainder when (-39)/2*(-4 - v) is divided by 15.
9
Let m(n) = 3*n**3 - 7*n**2 + 39*n + 15. Let r(b) = -b**3 + 3*b**2 - b. Let j(u) = m(u) + 4*r(u). What is the remainder when 350 is divided by j(-5)?
80
Suppose 13*b + 2875 = -12*b. Let p = b + 119. What is the remainder when 48 is divided by p?
0
Let y be 33/(-6)*(1 - (15 + 4)). Suppose -2*i + 69 = -a, 3*i - y = -4*a + 21. Calculate the remainder when 102 - -5*3/(45/6) is divided by i.
32
Suppose -5*h + 656 = -4*u, 2660 - 3308 = -5*h + 2*u. What is the remainder when 1798 is divided by h?
6
Suppose 19*b = 18*b + 2*s + 122, 562 = 5*b + 2*s. What is the remainder when b is divided by 104?
10
Let j(w) = -w**2 + 16*w + 47. Let n be j(18). Suppose 0 = -5*i - 2*h + 112, -3*i + 6*h - n*h = -71. Calculate the remainder when 25 is divided by i.
3
Suppose -38*p + 45*p = 483. Calculate the remainder when 269 is divided by p.
62
Let z = 1504 - 1491. What is the remainder when 76 is divided by z?
11
Let b(n) = n**3 - 6*n**2 + 4*n - 6. Suppose 0 = 3*k - 73221 + 72372. Calculate the remainder when k is divided by b(7).
70
Suppose -4*l + 20768 = 28*l. Suppose -512 = -3*h + l. Calculate the remainder when h is divided by 15.
12
Let q(k) = 39*k**2 - 371*k - 8. What is the remainder when q(10) is divided by 98?
84
Let b(t) = -t**3 + t**2 + 63. Let o be b(0). Suppose -4*u = -8, -o = -5*i - 4*u + 5*u. Let x = 124 - 75. What is the remainder when x is divided by i?
10
Suppose -5*u - 19 - 11 = 0. Let q(p) = 2*p**3 + 12*p**2 - 14*p - 9. What is the remainder when q(u) is divided by 6?
3
Let o = 196 + -194. Suppose 10*c + o*g + 2 = 12*c, -4*c - g = -19. Let f = -5 - -8. Calculate the remainder when c is divided by f.
1
Suppose 5*o - 34 = 3*c, 4*o - 27 + 1 = 3*c. Let l be (-6)/o + (-2513)/4. What is the remainder when (-2)/11 + l/(-11) is divided by 10?
7
Let h = 11 + -10. Let a be 84 + (-36)/27*(-4 + h). Suppose 12*z = a + 140. What is the remainder when 75 is divided by z?
18
Let z be (34/6)/(3/9). Suppose -g - 2*q = -34, 5*g - 18*q = -z*q + 181. Calculate the remainder when 168 is divided by g.
24
What is the remainder when (2 - 392/(-3))*(134 - 28 - 28) is divided by 9?
7
Suppose 0 = 2*x - 243 + 231. Calculate the remainder when 20 is divided by (-165)/(-20) + x/(-24).
4
Suppose 106920 = 228*n + 5*n - 94858. Calculate the remainder when n is divided by 282.
20
Let m(a) be the third derivative of -7/24*a**4 - 2/3*a**3 + 0*a + 0 + 6*a**2. What is the remainder when 8 is divided by m(-1)?
2
Suppose 0 = -11*m - 46 + 24. Calculate the remainder when m - (-6 + 7) - -59 is divided by 20.
16
Let r(p) = p**2 + 14*p + 286. Calculate the remainder when r(-10) is divided by 77.
15
Let z = -320 - -397. Suppose 220*y + z = 221*y. What is the remainder when y is divided by 16?
13
Calculate the remainder when 446 is divided by (13 + -2 - 7) + -2 + 22.
14
Suppose -12359 = -6*p + 4897. What is the remainder when p is divided by 12?
8
Let f(q) = 21*q**2 + 82*q + 14. Calculate the remainder when 2573 is divided by f(-4).
21
Suppose -5*n + 410 = -135. Let i(l) = -6*l + 35. Calculate the remainder when n is divided by i(4).
10
Suppose -684*y - 1856 = -685*y + 4*w, 0 = -5*y - 4*w + 9232. What is the remainder when y is divided by 64?
56
Let v = -3355 + 4640. Calculate the remainder when v is divided by 99.
97
Suppose -107*u + 68*u - 702 = -66*u. Let x be (-12)/(-18) - 1466/(-6). Suppose -5*m = -260 - x. What is the remainder when m is divided by u?
23
Suppose 0 = b, -3*n + 126 = 31*b - 35*b. Suppose 18*r = 19*r - 122. Calculate the remainder when r is divided by n.
38
Suppose 0*n + 9 = -n. Suppose -6*s - o - 6 = -4*s, 5*s = 3*o + 7. What is the remainder when (-324)/n + s*3 is divided by 13?
7
Let t(r) = r**3 - 31*r**2 + 35*r - 81. Let x = -16 - -23. What is the remainder when t(30) is divided by x?
6
Suppose 0 = g, -4*d - 2*g - 3*g + 56 = 0. Let w(c) = c**3 - 4*c**2 - 8*c + 17. Let j be w(7). Calculate the remainder when d is divided by (-5)/(-6) - (-126)/j.
0
Let x(i) = 345*i - 6806. What is the remainder when x(20) is divided by 67?
27
Let v(g) = 6*g**3 + 3*g**2 + 4. Let u be v(-3). Suppose 24*b = -9*b - 2475. Let d = b - u. Calculate the remainder when d is divided by 17.
5
Suppose f - 3 = -0*f, 4*f + 21 = 3*g. Suppose -g*y + 111 = -10. Let m(d) = -3*d + 54. Calculate the remainder when 62 is divided by m(y).
20
Let a(q) = -48*q**2 + 5*q + 3. Let c be a(3). Calculate the remainder when (c/36)/(1/(-4)) is divided by 7.
4
Let a = 740 - 739. What is the remainder when a is divided by ((-2)/(-6))/(16/48)?
0
Let z = 10663 - 10620. What is the remainder when 213 is divided by z?
41
Let a(x) = 6*x - 70. Let l be a(12). Suppose -l*u = 3*s - 7 - 43, -s - 5*u = 5. Calculate the remainder when 219 is divided by s.
19
Suppose 0 = n + 5*i + 20, 3*n = -220*i + 224*i + 92. What is the remainder when 557 is divided by n?
17
What is the remainder when 188/141 + 8/(-6) - -8499 is divided by 50?
49
Suppose 9*b - 20 = 5*b - 2*q, 0 = -4*q. Suppose 74 = 2*s - 2*m, 5*s = 9*s + b*m - 121. What is the remainder when s is divided by 3?
1
Suppose y = 174 + 30. Calculate the remainder when 410 is divided by y.
2
Let z = -12 - -30. Calculate the remainder when 1/((-2128)/(-424) + -5) - (5 + 3) is divided by z.
9