
Suppose u + 4*u = 3432 - 2002. What is the remainder when u is divided by 92?
10
Let x be (9/(-6))/(9/(-594)). Let b = 115 - x. Calculate the remainder when 109 is divided by b.
13
Suppose 0 = -164*k + 45*k + 2023. What is the remainder when 848 is divided by k?
15
Calculate the remainder when 447 is divided by ((891/15)/3)/(270/900).
51
Let k(n) = 8*n**2 - 12*n + 40. Let z be k(9). Suppose -r - z = -21*r. What is the remainder when 57 is divided by r?
28
Let t be (0 + 12/(-3))*-7. Suppose -19*s + 23*s = t. Suppose 0 = h - 5*d + 14, -3*d + s = -h + 3. What is the remainder when 26 is divided by h?
4
Suppose 5085 = q + 3*d, -5*q = -6*d + 4*d - 25476. Suppose -5*p + q = -731. Calculate the remainder when p is divided by 16.
13
Let w(m) = 2*m - 34. Let z be (-42)/(-4)*(2 - 0). Let g be w(z). What is the remainder when 23 is divided by 1 + -2 + g - 2?
3
Let w(n) be the second derivative of 7/4*n**4 + 0 - 1/2*n**2 - 1/6*n**3 + 8*n. What is the remainder when w(1) is divided by 10?
9
Suppose 81 = 7*w - 38. Let m = w - -5. Let v = 42 - m. What is the remainder when 48 is divided by v?
8
Let t(n) = -17*n - 31. Let j be (1 + 0/2)/(18/(-54)). What is the remainder when 88 is divided by t(j)?
8
Let m(g) = 9*g + 3*g**2 - 150 - 12*g**3 + 314 - 159. Calculate the remainder when 1132 is divided by m(-1).
10
Suppose c - 5 = 2*c + 4*n, -3*n = 4*c + 7. Let j = -2360 - -2356. Calculate the remainder when 29 - (-3 + j/c) is divided by 16.
12
Suppose -5*m - 745 = -4*h, 5*m + 4*h - 264 + 1049 = 0. Let n = -102 - m. What is the remainder when n is divided by 13?
12
Let c = 134 + -138. Let a(g) = 7*g**2 - 3*g + 9. What is the remainder when a(c) is divided by 15?
13
Let a = 2389 + -2374. Calculate the remainder when 733 is divided by a.
13
Calculate the remainder when (-1)/(3/(-6)*((-4790)/(-1195) + -4)) is divided by 91.
57
Let f(j) = 244*j**2 - 51*j - 492. What is the remainder when f(-7) is divided by 81?
76
Suppose -2*y + 5*b = -1563, -754 = -841*y + 840*y - 3*b. What is the remainder when y is divided by 347?
75
Let x = 504 + -499. Let i(h) = 43*h - 22. What is the remainder when i(x) is divided by 70?
53
Suppose 2*h = 2*o + 568, -8*o = -8*h - 7*o + 2286. What is the remainder when 287 is divided by h?
1
Let t(u) be the first derivative of u**4/4 + 2*u**3/3 - 23*u**2/2 + u - 6. Calculate the remainder when t(5) is divided by 22.
17
Let r(z) = -z**2 - z + 23. Let u be ((-5)/(-20) - 42/8)*-1. Let y = u - -39. Calculate the remainder when y is divided by r(0).
21
Calculate the remainder when (3 + 1)*(-17481)/72*(6 - 12) is divided by 47.
46
Let c = -43618 - -43962. What is the remainder when c is divided by 81?
20
Let x(r) = 5*r - 19. Let h(y) = -y**3 + 17*y**2 + 19. Suppose 4*d - 104 = -36. Calculate the remainder when x(14) is divided by h(d).
13
Suppose -190*d + 2575 = 1270 - 4585. What is the remainder when d is divided by 6 + -3 + (2 - 1)?
3
Let f be (-24050)/(-182) + ((-3)/(-21))/(-1). Let b = f - 71. Suppose 5*t - t - 36 = 0. Calculate the remainder when b is divided by t.
7
Suppose 0 = 5*p - p, 3*p + 12 = 3*r. Let y be (-12)/r + 18 + 4. Suppose 0 = z + 3*l - y, -53 = -2*z + l + 20. What is the remainder when z is divided by 4?
2
Suppose -119*g = -124*g + 1045. What is the remainder when g is divided by 11?
0
Let a = 22 - 19. Let r be a*-1 - (-192)/(8 - 5). Suppose -2*s + 3*z = -r, 2*s + 3*z = 94 - 27. What is the remainder when s is divided by 7?
4
Let l = -12195 + 12284. Let n = 60 + -15. Calculate the remainder when l is divided by n.
44
Suppose -14*x + 19*x - 140 = 0. Suppose 0*t - 3*t + x = 2*d, d = -4*t + 29. Suppose 0 = t*q - 11*q + 250. What is the remainder when q is divided by 17?
16
Let v = 89 + 94. Let u = 129 + -106. What is the remainder when v is divided by u?
22
Let m be ((-2)/(12/45))/((-3)/(-90)). Let b = 272 + m. Calculate the remainder when b is divided by 12.
11
Let a(s) = -31*s - 120. Let m be a(-4). Let y(q) = -q**2 + 23*q - 50. Calculate the remainder when 57 is divided by y(m).
5
Suppose 0 = -25*y + 7*y + 234. What is the remainder when (134/(-2))/(12/(-23 - -11)) is divided by y?
2
Let y be (-210)/(-56) + (-21)/12. Suppose i + 8*f = 49, y*i - 2*f + 3 = 11. Calculate the remainder when i is divided by 1.
0
Let h(c) = c**2 - 87*c + 1092. What is the remainder when h(13) is divided by 19?
16
What is the remainder when 829 is divided by 1379/17 - -18*46/(-7038)?
19
Let y(g) = g - 9. Suppose 3*c - 2*f - 36 = 0, 0 = -3*c - f + 4*f + 33. Let u = c + -3. What is the remainder when 4 is divided by y(u)?
0
Let s = 6160 - 6154. Suppose 2*n + 90 = 5*i, -67 = -4*i - 3*n - 18. Calculate the remainder when i is divided by s.
4
Suppose -4*x - z + 1299 = 0, 3*z + 34 + 619 = 2*x. What is the remainder when x is divided by 51?
19
Let a = 1292 + -1257. Calculate the remainder when 835 is divided by a.
30
Suppose 0 = 3*n + 4*l - 101, l + 106 = 3*n + 6*l. What is the remainder when 165 is divided by n?
3
Let h(q) = -q**3 + 60*q**2 - 259*q - 66. What is the remainder when h(55) is divided by 10?
4
Suppose 0 = -3*r + 5*v - 1663, r - 3*r = v + 1126. Calculate the remainder when 3/12 + r/(-12) is divided by 21.
5
Let i = 71 - 40. Suppose 2*o = -5*y + i, -16*y = 2*o - 19*y - 7. What is the remainder when 95 is divided by o?
7
Let o(l) = -l**3 - l. What is the remainder when o(-3) is divided by (2/2)/((-666)/96 - -7)?
14
Suppose -8*h + 4*h = -2*r - 128, -3*r - 27 = -h. Calculate the remainder when 91 is divided by h.
25
Let i = 13461 - 13318. Calculate the remainder when 9579 is divided by i.
141
Let t(c) = 28*c - 1. Let s(b) = -14*b. Let u(z) = -5*s(z) - 3*t(z). What is the remainder when 17 is divided by u(0)?
2
Let v = 13 - -18. Let z = -29 + v. Suppose 2*w + l - z*l - 60 = 0, -5*l + 150 = 5*w. What is the remainder when w is divided by 8?
6
Let h = -15725 + 15787. What is the remainder when 228 is divided by h?
42
Suppose 3*z = l - 63, -4*z = 5*l - 3*z - 283. Suppose l = -x + 2*x. Suppose -x*o + 82 = -56*o. What is the remainder when o is divided by 42?
40
Suppose -34*p + 38*p = 320. Suppose -1340 + p = -9*x. What is the remainder when x is divided by 29?
24
Suppose 2*n = -2*n + 376. Suppose 430 = 5*y - 5*f, -56*y + 5*f - 202 = -59*y. Let w = n - y. Calculate the remainder when w is divided by 10.
5
Calculate the remainder when 240 is divided by (2 - (-7 + 16)) + 14.
2
Let g = -248 - -414. Let c = 15349 - 15321. Calculate the remainder when g is divided by c.
26
Suppose 48*w - 999 = 21*w. What is the remainder when 1084 is divided by w?
11
Suppose -8*f + 12*f = -5*k + 59, 0 = -f - k + 16. What is the remainder when 62 is divided by f?
20
Let g(l) = -2*l**3 - 5*l**2 - 16*l - 39. Let t be g(-3). Suppose -73 = 3*c + 44. Let d = t - c. Calculate the remainder when d is divided by 15.
12
Let i = 272 - 271. Suppose -5*o = 4*z + 7, -o + 4*o - i = -5*z. What is the remainder when 48 is divided by z?
0
Let l = -49 + 57. Suppose 0 = g - 5*f - 32, 3*f + 16 = g - l. Calculate the remainder when 23 is divided by g.
11
Calculate the remainder when 219 is divided by (12/8)/(2 - 1)*3996/81.
71
Suppose 19*u - 750 = -351. Calculate the remainder when 1550 is divided by u.
17
Let z(a) = -a**3 + 172*a**2 + 177*a - 653. Let s(w) = -w**2 + 7*w + 7. Calculate the remainder when z(173) is divided by s(7).
4
Let j = -35998 - -37263. Calculate the remainder when j is divided by 373.
146
Let a be (3*12/(-45))/((-1)/(-5)). Let c = 4 - a. Suppose -3*r = -c*r + 495. Calculate the remainder when r is divided by 10.
9
Suppose -4*r - 1624 = 2*b, 5*r + 3*b = b - 2028. Let n = 420 + r. Calculate the remainder when 67 is divided by n.
3
Suppose 3*h = 5*g + 923, 4*h - 4*g = -79 + 1299. Let s = h + -205. Suppose -k + s = 32. Calculate the remainder when k is divided by 22.
20
Let i(l) = -3*l**2 - 111*l - 33. Calculate the remainder when 322 is divided by i(-36).
22
Let k(a) = -a**2 - 17*a - 18. Let c(q) = 2*q - 1. Let l(f) = -c(f) + k(f). Calculate the remainder when l(-12) is divided by 34.
33
Suppose 340 = 14*d - 18*d. Let s = d + 106. What is the remainder when s is divided by 12?
9
Let y = 23 + -14. Let j be (49 - 51) + (2 - -3). Suppose 3*x + 132 = j*k - 120, 3*x + y = 0. What is the remainder when k is divided by 6?
3
Let v(t) = 11*t**2 + t - 1. Let s = 934 - 848. Calculate the rem