d by g(-4).
3
Suppose 2*l = -5*b + 4, 0 = -5*l - 2*b + 11 + 41. Let h(d) = -51*d + 3538. Calculate the remainder when h(69) is divided by l.
7
Let j be 14/4 + (-1)/(-2). What is the remainder when j/(-3)*9/(-2) is divided by ((-105)/(-70))/(2/4)?
0
Let o(j) = 118*j - 7. Let t be o(3). Let r = t + -306. What is the remainder when 81 is divided by r?
40
What is the remainder when (77/(-42))/11 - (-116220)/72 is divided by 21?
18
Let v(s) = 6*s**2 - 10*s - 24. Let k(x) = x**3 - 2*x**2 + x - 39. Let y be k(4). Calculate the remainder when 116 is divided by v(y).
56
Suppose 15 + 17 = 4*r. Let s(n) = n + 13. Let x be s(-10). Suppose 4*p = -r*u + 5*u + 24, -x*p = -u - 31. What is the remainder when 16 is divided by p?
7
Suppose -5*v = -3*r - 722, -5*r - 382 = -5*v + 348. What is the remainder when v is divided by 85?
57
Let p = -155 + 276. What is the remainder when p is divided by 957/29 + (0 - 0)?
22
Suppose 114*z + 7326 = 213*z. Calculate the remainder when 368 is divided by z.
72
Suppose 5*m = -2*w + 63, -w - 41*m + 39*m = -36. Let c(p) = 2*p**2 + 6*p - 3. Calculate the remainder when c(6) is divided by w.
51
Let r = 4730 - 4712. Let k = 48 + 38. Suppose k = 5*u + 31. Calculate the remainder when r is divided by u.
7
Suppose -7 = -9*g + 11. Suppose 0 = g*w + 3*w - 4*p - 2298, -4*w - 5*p + 1863 = 0. What is the remainder when w is divided by 58?
56
Let y = -3212 - -3224. What is the remainder when 248 is divided by y?
8
Suppose -85*z + 67035 = 242*z. What is the remainder when 726 is divided by z?
111
Let b be 3/1 + (96*37)/(-8). Let d = b + 570. What is the remainder when d is divided by 15?
9
Suppose 97 = 5*v - 38. Suppose 292 = -4*b + 1868. Suppose -b = -5*f + 4*k, -31*f + 32*f - 74 = -4*k. Calculate the remainder when f is divided by v.
24
Let y = 535 + -322. Suppose -179 = -3*w + 3*p - 44, -5*w + 2*p + y = 0. Suppose -3*f + 926 = 320. Calculate the remainder when f is divided by w.
38
Suppose 4*h - 6663*m + 6667*m - 704 = 0, 340 = 2*h - 2*m. Let z = -20 - -36. Calculate the remainder when h is divided by z.
13
Suppose 0 = 15*t - 18*t + 357. Suppose -4*p - 2*b + 223 = -t, 4*b = 3*p - 251. Calculate the remainder when p is divided by 23.
16
Suppose t = 4*d + 1077, -1776 - 360 = -2*t + 2*d. Let b(c) = 124*c**3 + 2*c**2 - 1. Calculate the remainder when b(1) is divided by (-2)/(-5) + t/25.
39
Suppose -4*a + 884 = -2*y, -8*a + 2*y + 215 = -7*a. Suppose 138 = -3*s - 75. Let h = -39 - s. Calculate the remainder when a is divided by h.
31
Suppose 0 = 4*a - 5*a + 31. Calculate the remainder when a is divided by 1/(-2) - (1911/(-98) - 2/(-2)).
13
Let g = -914 + 1341. Let h = -408 + g. Calculate the remainder when 21 is divided by h.
2
Suppose 0 = -3*s - s - 204. Let v = s + 84. Suppose -22*q = -18*q - 36. Calculate the remainder when v is divided by q.
6
Suppose -5*r = -w + 100, 0*w - 280 = -4*w - 4*r. What is the remainder when 910 is divided by w?
10
Suppose 9*d = 86*d - 1775 + 81. What is the remainder when 3285 is divided by d?
7
Let y(w) = -w**3 + 15*w**2 - 32*w + 28. What is the remainder when 2427 is divided by y(12)?
71
Let c(v) = -48*v + 13. Suppose 19*p + 72 = 15*p. Let l be c(p). Suppose -13*u - l = -2606. What is the remainder when u is divided by 17?
14
Let b = 53 + -31. Suppose 7*w = -b + 64. What is the remainder when 54 is divided by (-3 + 1)*(-33)/w?
10
Calculate the remainder when 153 is divided by (65/(-91))/(11/(-1771)).
38
Let o be -2 - 3 - 6*42/(-9). Suppose -19*r + o*r = 20. Calculate the remainder when 35 is divided by r.
0
Suppose -10*t + 1280 = 339 + 611. What is the remainder when 658 is divided by t?
31
Let x = -1828 + 1938. Let w = -8 - -15. Calculate the remainder when x is divided by w.
5
Suppose -2 = -2*g, 3*g - 20 = 5*t - 47. Suppose t*w + 488 - 728 = 0. Calculate the remainder when w is divided by 23.
17
Let i(q) = -168*q - 357. Let o(c) = 24*c + 51. Let r(d) = 4*i(d) + 27*o(d). Calculate the remainder when r(-9) is divided by 8.
5
What is the remainder when 155 - 9*(-4)/18 is divided by 71?
15
Let s(h) = 64*h + 27*h - 32*h - 7*h**2 - 2*h**2 + 7. Calculate the remainder when 765/7 - (-4)/(-14) is divided by s(6).
35
Suppose 2*o + 10 = -0*k + 2*k - 14, o = 0. Calculate the remainder when 467 is divided by k.
11
Suppose 7*a = 1155439 - 1155068. Suppose 0 = 3*n + 8 - 71. What is the remainder when a is divided by n?
11
Let c = 332 - -194. What is the remainder when c is divided by 137?
115
Suppose -2*f = 3*j - 3077, 4*f + j = -1742 + 7881. What is the remainder when f is divided by 172?
158
Let n(h) = -5165*h - 587. Calculate the remainder when n(-4) is divided by 25.
23
Let f = 121 - 79. Let n = -23 + f. Suppose -n*s + 16*s + 42 = 0. What is the remainder when 55 is divided by s?
13
Let h(u) = u**3 + 30*u**2 - 62*u + 128. Let x = 56 - 37. What is the remainder when h(-32) is divided by x?
7
Let r(f) = -3*f - 80. Let l be r(-28). Suppose -4*b + b + 110 = -l*a, 0 = -5*b + 5*a + 180. Calculate the remainder when 128 is divided by b.
26
Suppose 2*k + 5*h - 26 = 0, k - 16 = 6*h - 10*h. Let u = 11 - 9. What is the remainder when k is divided by (20/8)/(u/4)?
3
Let k = 696 + -647. What is the remainder when (-21)/(-49) + 8175/35 is divided by k?
38
Suppose -20 = -2*h + 3*j - 5*j, -2*j = 5*h - 41. Let t = -15 + 14. Let o = 4 - t. Calculate the remainder when h is divided by o.
2
Calculate the remainder when 5466070/2168 + 9/(-4) is divided by 157.
7
Calculate the remainder when (-15)/(45/(-708)) - 0/3 is divided by 133.
103
Suppose -u - 5*j = -2*j - 49, 4*u - 4*j - 196 = 0. Suppose -2*n = -u + 15. Suppose 47 = 33*b - 98 + 13. What is the remainder when n is divided by b?
1
Let v = -98 + 69. Let c = -41 - v. Let w = c - -40. Calculate the remainder when w is divided by 8.
4
Suppose 5*v - 3*s = 28 + 11, v - 13 = -2*s. Let a = 0 - -2. Suppose 0 = -3*i - 3*k + 3, 0 = a*i - k - v - 5. Calculate the remainder when i is divided by 3.
2
Suppose -117 = -5*u - 32. Let t(q) = -57*q + 341. Calculate the remainder when t(4) is divided by u.
11
Suppose -5*v + 17 = -4*x - 115, -v + 5*x = -39. Let a(d) = -2*d**3 - 9*d**2 + 29*d + 47. Calculate the remainder when a(-8) is divided by v.
23
Let b = -136 - -259. Let l = 134 - b. Suppose -4*a = -3 - 77. What is the remainder when a is divided by l?
9
Let q = -3309 + 3641. What is the remainder when q is divided by 13?
7
Let k be 8952/21 + (282/42 - 7). Let m = 450 - k. What is the remainder when m is divided by 3?
0
Suppose 9*c - 12*c = -54. Suppose y - 5*v = -2*y + 125, 152 = 4*y - 3*v. Let m = y - -52. Calculate the remainder when m is divided by c.
15
Let u(v) = 4*v + 127. Let c be u(17). Suppose 0 = -11*k - 107 + c. Calculate the remainder when 21 is divided by k.
5
Let b(m) = m**3 + 21*m**2 + 10*m - 72. Let x be b(-19). Suppose 172 = -12*n + x. What is the remainder when 308 is divided by n?
20
Let i be 0 + 5 + 914 + -4. Let f = 980 - i. Calculate the remainder when 192 is divided by f.
62
Let v be (-1)/(1/(-20)) - -2. Let b = -1166 + 1154. Let x = b + v. Calculate the remainder when x is divided by 3.
1
Suppose 2*h - v = 488, h - 2*h = -5*v - 226. Suppose h = 48*q - 45*q. What is the remainder when q is divided by 17?
14
Suppose 0 = -2*a - 2*f + 220, -a + 121 = 5*f + 15. Calculate the remainder when 227 is divided by a.
5
Let v be (16/24)/((-2)/(-75)). Suppose 0 = -4*a + v + 15. Suppose -8*y + 364 - 148 = 0. What is the remainder when y is divided by a?
7
Suppose 0 = -2*q - 1 + 5. Suppose -m = 4*i - 55, 70 = q*m - 3*i + 15. Suppose -8*b + 675 = m. Calculate the remainder when b is divided by 23.
11
Suppose 231*i - 330*i = -39996. Calculate the remainder when i is divided by 47.
28
Let d(x) be the first derivative of 7*x**3/3 + 18*x**2 + 18*x + 132. Calculate the remainder when d(-10) is divided by 73.
66
Let o = -8776 + 8902. Suppose 0 = 2*c + 3*l - 36, -3*l - l = 2*c - 38. What is the remainder when o is divided by c?
6
What is the remainder when 3495 is divided by (8 + 8 + -28 - -1)*-3?
30
What is the remainder when (-19 + 12 + 6)/(-1*3/2031) is divided by 34?
31
Let t(d) = -11*d - 56. Let h be t(-23). Let j = 201 - h. What is the remainder when 23 is divided by j?
3
Let v = -46207 + 46310. What is the remainder when 3390 is divided by v?
94
Suppose 0 = 11*k + 121 + 2662. What is the re