j + 1. Let x = -1995 - -1999. Suppose -x*u = -f*u + 130. Calculate the remainder when 50 is divided by u.
24
Let a(m) = 27*m. Let y(c) = -11*c + 7. Let s be y(-7). Suppose 7*z - 9*z - s = -2*t, -2*t - 4*z = -78. Calculate the remainder when a(6) is divided by t.
39
Let k(i) = -23*i + 901. Calculate the remainder when k(25) is divided by 38.
22
What is the remainder when 1072 is divided by 1/(-4) + (481/260 - (-3)/(-5))?
0
Suppose 2411 = 5*s - 2*i, 108*i = 2*s + 112*i - 950. What is the remainder when s is divided by 21?
19
Let z be 0 + -2 - (-10 - 1668). Suppose 16*w = 21*w - 3*v - z, -5*v = 10. What is the remainder when w is divided by 56?
54
Suppose 0 = -p + 4*w + 504, 4*w - 39 = -67. Calculate the remainder when p is divided by 116.
12
Let w = 256 + -245. Let k(l) be the second derivative of l**3/6 - 5*l**2/2 + l. Calculate the remainder when 28 is divided by k(w).
4
Suppose 29*o + 470 = 34*o - i, -5*i = 5*o - 500. Calculate the remainder when 274 is divided by o.
84
Let h(j) = -2*j**3 + 32*j**2 - 33*j + 13. Let l be h(13). Suppose 3*s = -20*s + l. Calculate the remainder when 411 is divided by s.
21
Let b(f) = 15*f + 143. Let p be b(0). Suppose 365 - p = 6*y. What is the remainder when 108 is divided by y?
34
Suppose w - 152 = -w. Calculate the remainder when w is divided by ((-540)/(-81))/(-1 + (-16)/(-12)).
16
Suppose -4*b + 33 = 5*d + 3, -4*d - b + 35 = 0. Let t(v) = 13*v - 62. Let g = 51 - 32. What is the remainder when t(d) is divided by g?
11
Let x(q) = -q**3 + 14*q**2 - 17*q + 44. Let v be x(13). Let k = v - -54. Calculate the remainder when k is divided by 28.
18
Suppose -3*n = -2*d - 55, 2*n - 4*d - 77 = -35. Let p(a) = a**3 + 0 + 0*a**3 - 4*a**2 + 5. What is the remainder when n is divided by p(4)?
2
Let i = -81 - -83. Let n be (3 - i) + 7 + -5. Calculate the remainder when n - (-1 + 3) - (-606)/3 is divided by 34.
33
Let v(a) = -3*a**2 - 32*a - 51. Let u be v(-18). Let g = u - -664. What is the remainder when g is divided by 34?
13
Let y = 952 + -588. Suppose 3*h - y = -7. Calculate the remainder when h is divided by 8.
7
Suppose -8*b = 53 - 5. Suppose 0 = 17*t - 22*t + 120. What is the remainder when t is divided by (32/b + 1)*(-3)/1?
11
Suppose 41*o - 402 = 459. Suppose -o*x = -1 - 104. What is the remainder when 56 is divided by x?
1
Suppose 312*m = 317*m + 1390. Let h = m + 308. What is the remainder when 208 is divided by h?
28
Let s = 44 + -153. Let x = s - -390. Calculate the remainder when x is divided by 26.
21
Let d(v) = 6*v + 200. Let o be d(-33). What is the remainder when 501 is divided by 4/5*(-1 - o*-18)?
25
Suppose 3*g = 5*c - 96, c = -46*g + 42*g + 10. What is the remainder when 5019 is divided by c?
15
Let o(i) = 3*i**3 - 7*i**2 - 3*i + 52. Let k be o(6). Suppose 0 = -9*t - t + k. Calculate the remainder when t is divided by 36.
7
Suppose 4*f = -12, 6*k - 3*k = -4*f - 3. Let m(t) = t**3 - 6*t + 3. What is the remainder when -34*(-1)/3*k is divided by m(3)?
10
Suppose -89*a = -94*a + 15. Suppose -4*b - 139 = -a*q - 2*b, 3*b + 232 = 5*q. What is the remainder when 67 is divided by q?
20
Let r = 1118 - 536. Suppose -13*o = -16*o - 4*l + 207, 3*o + 3*l = 210. What is the remainder when r is divided by o?
71
Suppose -149 - 169 = -6*r. Suppose -2*o = 3*s - 308, -1 - 3 = -o. Suppose 3*m - m - 42 = -3*y, 5*m - s = -5*y. Calculate the remainder when r is divided by m.
17
Let s = -482 - -289. Let p = s + 118. Let b = p + 92. Calculate the remainder when 42 is divided by b.
8
Let a = 249 - 130. Suppose -f + 2*f = 5*u - 125, 4*u = -3*f + a. Calculate the remainder when 47 is divided by u.
21
Let g(q) = -71*q + 40. What is the remainder when 261 is divided by g(0)?
21
Let n(l) = l**3 + 26*l**2 + 149*l - 18. Calculate the remainder when 484 is divided by n(-12).
64
Let m(t) = -t**3 - 45*t**2 + 31*t - 544. What is the remainder when 47886 is divided by m(-46)?
144
Let z(n) = n**3 + 8*n**2 + 2*n - 30. Suppose 0 = -0*m + 3*m - 2*g + 12, 0 = 2*m - 2*g + 6. What is the remainder when 328 is divided by z(m)?
28
Suppose 0 = -4*z - 108 + 8. Let j = z - -29. Suppose j*u = u + 267. Calculate the remainder when u is divided by 13.
11
Let c(p) = -196*p + 4600. Calculate the remainder when c(18) is divided by 43.
40
Let f = -10 - -34. What is the remainder when f is divided by (-1)/(-6) + -34*(-3772)/18768?
3
Suppose 3*h = -2*s - 1177, 0 = -5*s + 5*h - 6*h - 2949. Let v = s - -753. Calculate the remainder when v is divided by 21.
16
Suppose -30*y = -31*y + 5*v + 860, 0 = 3*y - 2*v - 2502. Calculate the remainder when y is divided by 36.
2
Suppose t - 5*t = -48. Suppose 46*j - 10*j = j + 1610. What is the remainder when j is divided by t?
10
Calculate the remainder when (-1122170)/(-615) - (-20)/6 is divided by 152.
4
Suppose 0 = -3*z - 4*y + 3901, 3 - 18 = 3*y. Calculate the remainder when z is divided by 32.
27
Suppose 5*w - 648 = -113. Let n be -3 - (1 + 37*-4). Suppose 0 = -15*u + 11*u + n. Calculate the remainder when w is divided by u.
35
Suppose -3*z - 5*d + 10 = 0, 507*d - 504*d - 18 = -3*z. Let y = -79 - -32. Calculate the remainder when (y/(-3))/(2/6) is divided by z.
7
Suppose d = d - 12*d + 3372. Calculate the remainder when d is divided by 6.
5
Let o(k) = 60*k**3 - 24*k**2 + 79*k - 7. What is the remainder when o(3) is divided by 10?
4
Let m = 14 + -17. Let t be -1 - (4 + -38)*m. Let s = t + 109. Calculate the remainder when 26 is divided by s.
2
Suppose 5*u - 2*z - 70 = 1, 0 = -4*u - 2*z + 64. Let q(v) = 4*v**2 - 7*v + 12. Calculate the remainder when q(5) is divided by u.
2
Let b(m) = m**3 + 2*m**2 - 24*m - 17. Calculate the remainder when b(7) is divided by 70.
46
Let f = 18 - -50. Suppose -v = 2*u - 36, -v = 5*u - u - f. Suppose -2*o = 2*o - u, 5*b - 3*o = 113. Calculate the remainder when 73 is divided by b.
23
Let f = -150 + 153. Suppose 7 - 64 = -f*q. What is the remainder when 264 is divided by q?
17
Let h(t) = -t**3 - t**2 + 62*t + 30. Calculate the remainder when 226 is divided by h(7).
10
What is the remainder when 684 is divided by (-1 + -2)/(48/(-1808))?
6
Let h = -1006 - -686. Let j = 382 + h. What is the remainder when j is divided by 9?
8
Suppose -24562 = -48*f + 6110. What is the remainder when f is divided by 14?
9
Let u be -2 + 0 + 4 - 0/(-2). Suppose u*j + 38 = -134. What is the remainder when (j/(-4))/((-17)/(-34)) is divided by 5?
3
Let y(s) = 17*s**2 + 1044*s - 157. What is the remainder when y(-63) is divided by 40?
24
Suppose 17*n + 916 = 3755. Suppose n = 14*v - 211. Calculate the remainder when v is divided by 15.
12
Let l = 969 - 959. Suppose -l*x = -109 + 19. Let f(a) = -7*a - 2. Calculate the remainder when f(-4) is divided by x.
8
Let y be (-5 - -8 - -23) + 5. Let i = -6 + y. Suppose -4*m + 47 = 15. Calculate the remainder when i is divided by m.
1
Suppose 0 = 29*u + 530 - 820. Calculate the remainder when 3194 is divided by u.
4
Suppose 0*a - 2*a + 4*h + 150 = 0, -5*a = h - 331. Let k = 169 - 43. Calculate the remainder when k is divided by a.
59
Let y(x) = -x**3 - 6*x**2 + 4*x + 26. Let o be y(-6). Let s = -304 - -429. What is the remainder when s is divided by 3/((o/7)/2)?
20
Let o = 68 - 48. Suppose -28 = 3*m - 40. Suppose -5*v + v + 56 = m*k, -v = 5*k - 22. Calculate the remainder when o is divided by v.
8
Suppose -15*m = -4*m + 759. Let s = m - -69. Suppose 8*q + q - 315 = s. What is the remainder when q is divided by 9?
8
Suppose -2*v = 4*m - 840, -3*m + 620 = -0*m - v. Suppose -14*o = -184 - m. Calculate the remainder when o is divided by ((-144)/(-30))/(3/10).
12
Suppose -7*v + 676 = -33*v. Let g(t) = -16*t - 27*t**2 - 10*t - 4*t - t**3 - 1. What is the remainder when g(v) is divided by 21?
19
Let w = 2483 - 2449. What is the remainder when 202 is divided by w?
32
Let u be 0/(6/(9/3)). Suppose -5*p = 4*x - 328, 2*x + 4*p - 164 = -u*p. Calculate the remainder when 324 is divided by x.
78
Let l(x) = -62*x - 414. Calculate the remainder when 888 is divided by l(-8).
68
Let y = -307 - -317. Suppose -4*l + 6 = c, 0*c - 2*c - 10 = -3*l. Suppose 4*a = 2*x + 144, -x = 2*a + l*x - 88. What is the remainder when a is divided by y?
8
Suppose 4*f = -460 + 1888. Suppose 89 = 2*u + 277. Let s = f + u. What is the remainder when s is divided by 33?
32
Suppose x + 0*x = 2. Suppose 2*h + 159 = u -