2*s + v = -s. Calculate the remainder when s is divided by 12.
10
Let a(d) = d**3 - 4*d**2 + 3*d. Let y be a(2). Let t(p) = -21*p**3 - 6*p**2 + 2*p + 2. Calculate the remainder when t(y) is divided by 37.
31
Suppose 0 = -4*p - 3*w + 731, 8*w = 2*p + 5*w - 361. What is the remainder when 904 is divided by p?
176
Suppose 26*m - 18*m - 4792 = 0. Let s = -588 + m. What is the remainder when 103 is divided by s?
4
Let v = 2101 + -2043. What is the remainder when 662 is divided by v?
24
Let d(v) = -12*v - 6. Calculate the remainder when d(-20) is divided by (-1)/20*5*-136.
30
Let o = 14574 - 14556. What is the remainder when 897 is divided by o?
15
Let g(l) = -l**3 + 26*l**2 - 151*l - 55. Calculate the remainder when 532 is divided by g(15).
67
Suppose 6*b - 21 = 147. Suppose 4*j = 2*f + 2*f + b, -8 = -2*j - 4*f. Calculate the remainder when j is divided by 4.
2
Let t(l) = -l**3 - 35*l**2 + 15*l - 62. Let w be t(-35). Let k = 590 + w. What is the remainder when 52 is divided by k?
1
Let f = 43 - 34. Let z(u) = f + 8*u**2 - u**3 + 7*u**2 - 6*u**2 + u. Calculate the remainder when 51 is divided by z(9).
15
Let r be ((-2078)/(-8))/((-26)/(-8) + -3). Suppose 4*c = r - 239. Calculate the remainder when c is divided by 12.
8
Suppose v - 5*d = 28, 0*d = 5*d + 20. Let f(w) = w**3 - 7*w**2 - 7*w + 3. Let r = 743 - 741. What is the remainder when f(v) is divided by r?
1
Let a = 49 + -23. Let g(j) = -15*j + 1185. Let d(x) = -x + 74. Let h(y) = -33*d(y) + 2*g(y). Calculate the remainder when a is divided by h(25).
2
Suppose 41*x + 12 = 37*x. Calculate the remainder when (-3)/9 - 1723/x is divided by 12.
10
Let h(q) = q**3 + 36*q**2 - 36*q + 70. Let n(f) = -f**3 + 16*f**2 - 16*f + 19. What is the remainder when h(-37) is divided by n(15)?
1
Suppose 0 = -3*f + 5 + 13. Let w(c) = -34 - 6*c - 24 - 5*c + 2*c**2 + 16. What is the remainder when w(-3) is divided by f?
3
Let i = -18623 - -18853. What is the remainder when 2283 is divided by i?
213
Suppose -4*q + 6*q - 4*d - 16 = 0, 0 = -3*q + 2*d + 12. Suppose q*h + 10*h = 60. Calculate the remainder when ((-64)/10 + 2)/((-1)/h) is divided by 6.
4
Suppose -89*a + 28*a = -4270. Calculate the remainder when 415 is divided by a.
65
Let u be (-15)/((-30)/16) + -4. Suppose -80 = -2*p - u*s, -8*p - 3*s + 207 = -3*p. Calculate the remainder when 86 is divided by p.
2
Let a be 29 + (-2 + 3 - -2 - 2). Suppose -3*f - 2*f = a. Let q = f - -44. Calculate the remainder when q is divided by 10.
8
Suppose 3*v + 0*v - 2*g = 11, -3*v - 4*g + 5 = 0. Let s(n) = 79*n - 199. What is the remainder when s(v) is divided by 36?
2
Suppose t - 2*m - 417 = 0, 5*t + 2*m - 865 - 1256 = 0. Calculate the remainder when t is divided by 207.
9
Let o = 6 - 4. Let q(t) = -5*t**2 - 151*t + 15. Let r be q(-30). Suppose -o*s = s - r. Calculate the remainder when 44 is divided by s.
14
Let k(s) = -6*s**3 - 2*s**2 - 4*s - 5. What is the remainder when 2106 is divided by k(-2)?
42
Suppose -5*k - 37 = -2*n + 5*n, -2*n = 3*k + 26. Let m = -31 - n. Let i = m - -36. Calculate the remainder when 94 is divided by i.
22
Let a(u) = -217*u - 4743. What is the remainder when 1882 is divided by a(-22)?
22
Suppose -4*b + 6*b - 730 = 4*k, 5*k + 1805 = 5*b. Suppose 14*i = b + 833. Let v(w) = -w + 12. What is the remainder when i is divided by v(-10)?
19
Suppose 8926 + 7883 = 258*r - 7701. Calculate the remainder when r is divided by 36.
23
Let j be (249 + 15)*2/((-16)/(-20)). Suppose -37*q = -4*q - j. What is the remainder when 59 is divided by q?
19
Suppose -4 = u + 5. Let c(v) = -v**3 - 10*v**2 - 12*v - 11. Let f = -2409 - -2418. Calculate the remainder when c(u) is divided by f.
7
Let h = 239 - 226. Suppose -54*i + 55*i - h = 0. What is the remainder when i is divided by 4?
1
Suppose g - 73 = 181. Suppose -130 = -16*h + g. What is the remainder when 234/h*2*(-48)/(-9) is divided by 27?
23
Suppose -4*u = 4*o - 4988 + 1968, 3*u - 2230 = 2*o. What is the remainder when 1500 is divided by u?
4
Suppose -89 = -17*z + 13*z - 3*s, 3*s + 64 = 5*z. What is the remainder when 2188 is divided by z?
12
Let k(c) = 506*c + 1881. Calculate the remainder when k(-3) is divided by 64.
43
Let b(l) = -l**2 + 8*l + 96. Let i be b(13). Suppose -2*a + i - 11 = 0. What is the remainder when 1 - (-116 - 0/1) is divided by a?
7
Suppose 4*y - 20 = 12. Suppose 2*c - 14 + y = 0. Suppose c*p = -4*p + 273. Calculate the remainder when 154 is divided by p.
37
Suppose -4*c + 77 = 249. Let p = 43 + c. Suppose 3*w - 80 + 29 = p. What is the remainder when 50 is divided by w?
16
Let u(p) = -8*p + 14. Let t(g) = g - 1. Let m(w) = -14*t(w) - 2*u(w). Let b be m(8). Suppose b*k = -9 + 35. What is the remainder when 36 is divided by k?
10
What is the remainder when 535 is divided by (-1 + -32)/(53/2 - 27)?
7
Let n(d) = -2*d**3 - 7*d**2 - 6*d - 1. Let m = -1530 - -1553. What is the remainder when n(-4) is divided by m?
16
Suppose f - 122 + 33 = 0. What is the remainder when f is divided by (-30)/(-4)*(-6256)/(-920)?
38
Suppose -4*q = -0*d + 5*d - 204, 3*d - 5*q - 152 = 0. Let h = 1751 - 1734. What is the remainder when d is divided by h?
10
Let a(h) = h**3 - 21*h**2 - 55*h - 6. Let s be a(23). Let n = -186 - s. Calculate the remainder when n is divided by 11.
5
Suppose -925 = -25*u + 75. Suppose -48*l + 1048 = -u*l. What is the remainder when l is divided by 20?
11
Let v(o) = -3*o**2 + 13*o - 12. Let p be v(4). Let s be p/6*6/4. What is the remainder when 31 is divided by ((-6)/15)/((s/(-2))/(-20))?
7
What is the remainder when 8*(-8273)/(-72) - 2/9 is divided by 46?
45
Let c be (-234)/12*(0 - 56/(-6)). Let l = c + 232. What is the remainder when 848 is divided by l?
48
Let g be (-1008 + 1)/((-161)/161). Let p = 1093 - g. Let i = 49 + -27. Calculate the remainder when p is divided by i.
20
Let y(p) = p**3 - 10*p**2 - 7*p + 8. Let f be y(9). Let z = f - -66. Let q = z - -73. Calculate the remainder when 41 is divided by q.
2
Let c = -24640 + 43854. Calculate the remainder when c is divided by 183.
182
What is the remainder when 21534/42 - (133/49 + -3) is divided by 87?
78
Suppose 27*j - 728 = -28 + 1217. Calculate the remainder when 593 is divided by j.
25
What is the remainder when 102 is divided by (95/(-4) - -8)/((-6)/24)?
39
Suppose 3*s + 12 = 4*l - 33, 0 = l. Let u = s - -23. Suppose -u*f = -404 - 4. What is the remainder when f is divided by 13?
12
What is the remainder when (169/(-4))/((9/42)/((-90)/21)) is divided by 106?
103
Suppose -4*r - 348 = -2*p, 5*p - 3*r = 452 + 397. Suppose -55 = -3*z - 2*a, 5*z - 123 = 3*a - 44. Calculate the remainder when p is divided by z.
15
What is the remainder when 349 is divided by (367 + -91)*(-3)/(-9)*1?
73
Suppose -11*p = -6*p + 10. Let g be (1 - p)*(-80)/(-24). Suppose -6*m = -g*m + 20. What is the remainder when 29 is divided by m?
4
Let r be (1080/16)/15*(1 + 1). Let h = r + -3. Suppose 0 + 24 = h*m. What is the remainder when 31 is divided by m?
3
Let h = -20617 - -20647. What is the remainder when 657 is divided by h?
27
Suppose 3*v + 102 = a, 6*a - 4*a - 183 = -v. Suppose -3*t - t = -456. Let s = t - a. What is the remainder when 40 is divided by s?
19
Suppose 6*h - 29 = 139. Suppose h*j - 810 = 13*j. What is the remainder when j is divided by 25?
4
Let a(i) = 4*i**2 + i - 1. Suppose -8*b = -15*b + 28. Suppose 34*n = 30*n + u + 59, b*n = 5*u + 71. Calculate the remainder when a(3) is divided by n.
10
Let v(m) = -2*m - 4 + 1 - 12 + 0. Let s = 7 - -3. Calculate the remainder when s is divided by v(-9).
1
Let o = 5596 + -5551. Calculate the remainder when 169 is divided by o.
34
Suppose 5*k + 8 = -12. Let r be k/(-6) - (-472)/(-24). What is the remainder when (-1140)/r - 8/(-2) is divided by 11?
9
Suppose 0 = 88*p - 3153 + 1880 - 5063. Calculate the remainder when 226 is divided by p.
10
Suppose -10*p - 27 = -7. What is the remainder when -3 - p/(-3)*(-345)/2 is divided by 29?
25
Let s = 9343 - 9011. What is the remainder when s is divided by 135?
62
Suppose 5*j - 11 = -3*w, -4*w - j + 3*j = -32. Let x be 10*(6/21 + 5/w). Suppose 0 = -x*y + 1063 - 123. Calculate the remainder when y is divided by 33.
28
What is the remainder when 742 is divided by (((-60)/25)/4)/(4/(-40))?
4
Let v(w) = -5*w**2 - 19*w + 19. Let m be v(-11). Let z = -265 - m. Calculate the remai