-7) + (-2)/(-12). What is the remainder when (0 - 256/(-12))/(m/6) is divided by 34?
30
Suppose -136 = y - t + 183, -5*y - 3*t - 1619 = 0. Let w = 461 + y. What is the remainder when w is divided by 14?
13
Suppose -z + 185 = -2*i, 4*z + 106 = -i - 0. Let y = i + 133. Calculate the remainder when y is divided by 9.
3
Let o(x) = 5*x - 27. Let f be o(2). Let q(v) = -11*v - 75. What is the remainder when q(f) is divided by 57?
55
Let b = 45 - 42. Suppose -p - b*p = -116. Suppose -19*y = -18*y - p. What is the remainder when y is divided by 8?
5
Let s(c) = 24*c**2 - 245*c + 8. What is the remainder when s(12) is divided by 70?
34
Let w(a) = 2*a**3 + 7*a**2 + 3*a + 30. Let h = 14 + -8. Suppose -2*l - h = -5*l. What is the remainder when l is divided by w(-4)?
0
Suppose -2*k = 16*k - 126. Suppose 5*n - 67 - 68 = -5*q, 5*q - 121 = 2*n. Suppose -q*z = -k*z - 630. What is the remainder when 244 is divided by z?
34
Let b(a) = -50*a + 69. Let l(m) = 23*m - 33. Let h(x) = -6*b(x) - 13*l(x). Suppose 3*r - 5 - 10 = 0. Calculate the remainder when 118 is divided by h(r).
18
Let c = 12237 + -10476. Calculate the remainder when c is divided by 30.
21
Let u = 19 - -11. Let g(k) = 4*k**2 - 8*k + 12. Let r be g(6). Suppose 5*i + i - r = 0. Calculate the remainder when u is divided by i.
12
Let b = -500 - -503. Suppose 3*o - 18 = -3*u, 24 = 4*o - b*u - 21. What is the remainder when 149 is divided by o?
5
Suppose 2*c = 10 + 70. Suppose 0 = q - 5*d - 7 - 1, 3*q + d + c = 0. Let o(s) = s**2 + 9*s - 29. What is the remainder when 13 is divided by o(q)?
6
Suppose 46*o - 86799 = -108*o - 14265. What is the remainder when o is divided by 19?
15
Suppose o - 59 = -2*f, 13 = f + 2*o - 24. What is the remainder when 392 is divided by f?
14
Let g = -23498 + 34696. What is the remainder when g is divided by 10?
8
Let p(j) = -j**3 + 17*j**2 + 245*j - 9. What is the remainder when p(25) is divided by 80?
76
Let t(g) = -g**3 - 21*g**2 - 20*g + 78. Let m be t(-20). Suppose -5*v - 2*l = -m, -v + 3*l = 3*v - 67. Calculate the remainder when 38 is divided by v.
6
Suppose m - 3*v - 40 = 0, -5*m + 214 = -v - 0*v. Suppose -2*l = 5*n - 3*l + 22, 5*n + 16 = 3*l. What is the remainder when m is divided by (11 - 1) + n/(-1)?
13
Let s(y) = 2*y**2 - 20*y + 10. Let w be s(16). Let k = -116 + w. Calculate the remainder when k is divided by 44.
42
Suppose 40 - 350 = -d. Calculate the remainder when d is divided by 26.
24
Suppose 10 = 4*w - 2*w. Suppose w*g - 82 + 22 = 0. Let n(i) = i**3 + 25*i**2 + 64*i - 34. Calculate the remainder when g is divided by n(-22).
2
Let l(f) = 5*f**2 + 17*f - 28. Suppose s + 12 = -2*x, -4*s - x + 16 - 43 = 0. Calculate the remainder when 84 is divided by l(s).
34
Let n = -49 + 101. Let o(k) = -k**3 + 18*k**2 + 51*k + 8. Let a be o(21). Let d = -217 - a. What is the remainder when n is divided by d?
25
Suppose 34*i - 38*i - 3*n = -6029, 5*n = -5. What is the remainder when i is divided by 375?
8
Let a = -21975 - -21999. Calculate the remainder when 1161 is divided by a.
9
Let h be 4*-2*15/40. Calculate the remainder when 90 is divided by h/(4/(100/(-3))).
15
Let j = -371 - -373. Suppose -2*k + 31 = a, -191 = -5*a + j*k - 24. Suppose -q + 7 = -56. What is the remainder when q is divided by a?
30
Suppose 36*p - 72 = 48*p. Let t = p - -22. What is the remainder when t is divided by 11?
5
Suppose 0 = -5*b + 3*b - 3*d + 27, -17 = -2*b - 5*d. Suppose q = -5*i - 2*q + 305, 3*q = i - 43. What is the remainder when i is divided by b?
16
Let h = 2008 - 1951. Calculate the remainder when 210 is divided by h.
39
Suppose -5*m = 2*l - 9413, -80*m + 85*m = -4*l + 9421. Calculate the remainder when m is divided by 36.
9
Let z(r) = -74*r + 38. Calculate the remainder when 256 is divided by z(0).
28
Let f(y) = -13*y + 1. Let w = -598287 + 598472. Calculate the remainder when w is divided by f(-4).
26
Let q = -62 - -70. Let y(w) = w**3 - 10*w**2 + 19*w - 7. Let d be y(q). Let s = 71 - d. What is the remainder when s is divided by 28?
26
Suppose 1237 + 22877 + 6588 = 51*f. Calculate the remainder when f is divided by 11.
8
Let o = -11 - -62. What is the remainder when o is divided by 100/7 + (-30)/105?
9
Let v(f) = -f**3 - 2*f**2 - 2*f + 9. Let l be v(0). Suppose -3*m + l + 78 = 0. Let n = 10 - -6. Calculate the remainder when m is divided by n.
13
Let a(y) = -y + 45. Calculate the remainder when (-21 + (-65)/(-3))*366/4 is divided by a(14).
30
Suppose 0 = -2*f - 3*f + 5. Let v be (-3)/f + 16 + -4. Suppose -v*o = 46 - 541. Calculate the remainder when 109 is divided by o.
54
Suppose 3*z = -0*z - 4*y + 3659, -5*z + 3*y + 6166 = 0. What is the remainder when z is divided by 51?
5
What is the remainder when 3/(-8) + 8*(-1899)/(-576) is divided by 15?
11
Suppose 0 = p - 3*k - 7, -3*p = 8*k - 7*k - 11. Suppose p = h, 2*s - 2*h = -4*h + 74. Calculate the remainder when 90 is divided by s.
24
Calculate the remainder when 6957 is divided by (-6 - 9/36*212)*-2.
113
Let h be (-5)/(105/1162) - (-2)/(-3). Let k = -58 - h. Calculate the remainder when k + 17*(-2 + 2 + 1) is divided by 9.
6
Let g(c) = c**3 - c**2 + 2*c - 1. Let z be 4/(-26) + 328/(-416)*-4. What is the remainder when 32 is divided by g(z)?
9
Let z = 9597 + -9567. Calculate the remainder when 1199 is divided by z.
29
Let b(z) = z + 71. Suppose -3*c - 3*g + 2*g = -87, 3*g + 58 = 2*c. Calculate the remainder when b(21) is divided by c.
5
Suppose -36*v + 2262 = -23*v. Suppose 0 = -20*x + 894 - v. Calculate the remainder when x is divided by 16.
4
Suppose -17 = -h + 6. Let g be (2 + -1 + -71)*144/168. Calculate the remainder when h is divided by 520/g*(-6)/4.
10
Let j = -18757 - -18815. What is the remainder when 1101 is divided by j?
57
Suppose -4*s = -5*s + 4. Let k(z) = -z**2 + 2*z - 26. Let y be k(18). Let m = y - -329. Calculate the remainder when m is divided by s.
3
Let p = 7850 - 7274. What is the remainder when p is divided by 118?
104
Let v(j) = 8*j - 368. Calculate the remainder when 425 is divided by v(57).
73
Let c = -190 + 199. Let l(w) = -w**3 + 9*w**2 + 2*w - 16. What is the remainder when 5 is divided by l(c)?
1
What is the remainder when (275/(-110))/(20/(-11408)) is divided by 89?
2
Let d = 61 - 48. Suppose 9 + d = 11*y. Suppose 3*l - 68 = -l - 4*x, y*x = l - 20. Calculate the remainder when 71 is divided by l.
17
Suppose -9*o + 31 + 50 = 0. Suppose 0 = 4*t - 124 - 44. Calculate the remainder when t is divided by o.
6
Suppose -30*v = 3*v + 10*v - 3311. What is the remainder when 454 is divided by v?
69
Let r = -5248 + 5367. What is the remainder when r is divided by 20?
19
Suppose 393*r - 388*r + 195 = 0. Suppose 0 = 4*a + 61 + 415. Let u = r - a. Calculate the remainder when u is divided by 21.
17
Let u(c) = 7*c + 52. Let d be u(-7). Suppose 7*k + 88 = 5*r + 10*k, -31 = -2*r + d*k. Calculate the remainder when 32 is divided by r.
15
Let h = -2743 + 2773. Suppose -1195 = -5*m - 0. Calculate the remainder when m is divided by h.
29
Let n(j) = -10*j + 44. Let u be n(5). Calculate the remainder when 226 is divided by 2264/40 + u/(-15).
55
Suppose 2*g - 16 = g. Suppose 4*c - c + d - 1037 = 0, -3*c + 1017 = -3*d. Let x = c - 287. What is the remainder when x is divided by g?
9
Suppose -2*v - 6 = 0, -h - 4*v = -2 - 13. Suppose 2861 + 1027 = h*c. Calculate the remainder when c is divided by 29.
28
Suppose 65*y - 55*y = 3260. Let v = 384 - y. Calculate the remainder when v is divided by 28.
2
Suppose -645 = -5*k + 3*j, -434 - 251 = -5*k - 5*j. Suppose -42 = -6*v + k. What is the remainder when 66 is divided by v?
8
Suppose -5*g + 34617 - 13032 = 0. What is the remainder when g is divided by 36?
33
Let j(g) = -3*g**3 + 0 - 97*g + 9 + 14 - 18*g**2 + 0*g**3 + 99*g. Suppose 22 = n + 1. What is the remainder when n is divided by j(-6)?
10
Suppose 2*h + 181 = 4*f + 7*h, -f + 5*h = -14. Suppose 2*r = -2*q - 80, -60 = r + 3*q + 2*q. Let u = r + f. What is the remainder when 18 is divided by u?
2
Suppose -9*q + 107 = 3*a - 4*q, 83 = 2*a + q. Suppose -5*g = -m - a, 5*g - 24 = 4*m - 8*m. What is the remainder when 255 is divided by g?
7
Let s(g) be the third derivative of 23*g**5/60 + g**3/6 - 6*g**2 - 4*g. Calculate the remainder when s(2) is divided by 33.
27
Let w(o) = -9*o**2 + 48*o + 8. Let q(c) be the third derivative of 73*c*