17*n - s*n - 148 = 0. Suppose 0 = 5*x + 9 - n. Calculate the remainder when 20 is divided by x.
7
Suppose 4*y = -5*b + 35, -b - 2*y + 7 = -2*b. Suppose -323 + 11 = -b*j. What is the remainder when j is divided by 23?
12
Let v(h) = h**3 + 15*h**2 + 39*h + 18. What is the remainder when 202 is divided by v(-11)?
56
Suppose -v + 2*v - 3*p = 4, -v - 3*p - 20 = 0. Let w be (4/v)/(1/(-58)). Suppose 9*j - 74 = -w. What is the remainder when 13 is divided by j?
3
What is the remainder when 425 is divided by -9 - ((-36)/(-10))/(24/(-300))?
29
Let m(r) = r**3 + 4*r**2 - 20*r + 11. Let c be m(-7). Suppose -c*s - 2*z + 4*z + 482 = 0, 231 = 2*s + z. What is the remainder when s is divided by 17?
16
Suppose 3*z = -3*z - 2*z. Suppose -5*m - 2*n = -85, -m + 0*n + n + 24 = z. Suppose -3*w - m = -85. What is the remainder when w is divided by 5?
2
Let l = -4907 - -8032. What is the remainder when l is divided by 34?
31
Suppose -4*h - 54 = -510. Suppose 4*p - 10 = h. Suppose 0 = -28*q + 1134 + 2226. What is the remainder when q is divided by p?
27
Suppose 0 = 2*t + 11*t - 5161. Suppose 16*u - t - 51 = 0. What is the remainder when u is divided by 18?
10
Calculate the remainder when 1026 is divided by 3*(-16)/40 - (-1042)/10.
99
Suppose -43*g = 8340 - 10103. Calculate the remainder when 15864 is divided by g.
38
Let c = 15571 - 15531. What is the remainder when 930 is divided by c?
10
Suppose -3*k = -t - 4*t + 12, -t + 2*k = -1. Suppose -r = -3*n - 459, -t*r + 1352 = 27*n - 31*n. What is the remainder when r is divided by 32?
28
Suppose 0 = 45*v - 55475 + 15740. What is the remainder when v is divided by 12?
7
Let o(z) = 23*z**3 - z + 1. What is the remainder when (-20)/(8*7/(-126)) is divided by o(1)?
22
Let z(u) = 3*u**2 - 348*u + 761. What is the remainder when z(116) is divided by 64?
57
Suppose 77*k - 72*k + 4*w - 138 = 0, 3*w = -5*k + 131. What is the remainder when 13836 is divided by k?
20
Let k(s) = -s**2 - 9*s - 11. Let b be k(-8). Let m be 1 + 0 + 34 + (-1 - b). Suppose 40*a - 12 = m*a. What is the remainder when 4 is divided by a?
0
Calculate the remainder when 4535 is divided by (-8*((-1000)/96 - -11))/(1/(-9)).
41
Let g = 221 - -100. Suppose g*h - 15 = 320*h. What is the remainder when 70 is divided by h?
10
Let d(a) = 5*a**3 - 42*a**2 - 38*a + 158. Let r(q) = 19*q**2 - 7. Calculate the remainder when r(-5) is divided by d(9).
55
Let x = -2089 - -2125. What is the remainder when 2771 is divided by x?
35
Let f be ((-33)/6)/(7/14). What is the remainder when 16*2 - (12 + f) is divided by 22?
9
Let x = -276 - -281. Suppose 3*s - 3*i - 37 = 5, 3*s - 52 = x*i. What is the remainder when 285 is divided by s?
6
Suppose -4*k + 3*m = -0*m - 1565, 795 = 2*k + m. Calculate the remainder when k is divided by 79.
0
What is the remainder when ((-6056)/24)/((-6)/36) is divided by 109?
97
Let g(q) = -2*q**2 - 44*q + 7. Suppose -17*x - 396 = -3626. Calculate the remainder when x is divided by g(-21).
43
Let o(j) = 135*j - 675. Let i(b) = 45*b - 223. Let d(y) = -8*i(y) + 3*o(y). Calculate the remainder when d(12) is divided by 60.
59
Let s(k) = -67*k - 2. Let r = 34796 + -34767. What is the remainder when s(-2) is divided by r?
16
Let r(m) = -11*m**2 - 259*m - 22. Let s be r(-23). Suppose 56*c = 60*c - s. What is the remainder when c is divided by 10?
9
Let l be 2 + -3 + -1 + 7. Suppose -2*i - 29 = l*q, -3*i + 2*q = 9 + 25. Calculate the remainder when 32 is divided by 2 + 2 - i/4.
4
Let n = 272 - 172. Let v(c) = -c**2 - 44*c - 413. Calculate the remainder when n is divided by v(-15).
12
Let l = 21775 + -21738. Calculate the remainder when 1395 is divided by l.
26
Suppose 265 = -43*r + 38*r. Let w = 11 + r. Let n = -26 - w. Calculate the remainder when 159 is divided by n.
15
Let k(t) = -21*t**3 - 13*t**2 - 101*t - 34. What is the remainder when k(-7) is divided by 51?
48
Let s = 174 + -124. Suppose -i - s = -2*f - 16, -3*f - 4*i = -51. Calculate the remainder when -2*((-47 - -8) + -3) is divided by f.
16
Let y(s) = -s**2 + 9*s - 4. Let p be y(8). Suppose -i + 10 = -22. Suppose -41 = -3*h - f, 5*h + 4*f - i = p*h. Calculate the remainder when 70 is divided by h.
10
Suppose 68*s + 27*s + 7*s = 113322. Calculate the remainder when s is divided by 123.
4
Suppose 6 = 77*k - 74*k. Calculate the remainder when (-54)/(-36) - (-147)/k is divided by 20.
15
Let k = -52623 + 52631. Let p = 28 - 11. Calculate the remainder when p is divided by k.
1
Suppose -101*b + 4479 = 1348. Calculate the remainder when 220 is divided by b.
3
Suppose 2*v = 5*o + 451, -o = 232 - 227. What is the remainder when 645 is divided by v?
6
Let z = -331 - -286. Calculate the remainder when 29 is divided by z/12*(-4 - 0/3).
14
Suppose 128 = i - 5*s, s + 4*s = 20. Let q(g) = -19*g + 193. Calculate the remainder when i is divided by q(9).
16
Let v(z) = z**2 - 96*z - 37. Calculate the remainder when 1080 is divided by v(98).
126
Let w(k) = k**2 + 23*k + 108. Let f be w(-17). Calculate the remainder when (-7)/((-189)/f) - (-2941)/9 is divided by 37.
31
Suppose 4*x + 2*m - 2793 = -43, 0 = 5*x - 3*m - 3410. What is the remainder when x is divided by 184?
133
Let n = 73 - 73. Suppose -2*f - 5*d + 56 = -3*d, n = 2*f - 4*d - 32. What is the remainder when 46 is divided by f?
22
Let z be -2 + 2 - (19 + -22). Suppose -z*i - i + 227 = -v, 5*v = -3*i + 176. What is the remainder when i is divided by 31?
26
Let s(g) = 11*g - 1. Suppose 8*n = -3*r + 3*n + 58, -5*r + n + 50 = 0. Calculate the remainder when s(4) is divided by (-1 - 1)/((-2)/r).
10
Suppose 0 = h + 5*v, -19*v = -h - 20*v + 4. Suppose -52 = -h*c - 2*g, 6*g - g = 3*c - 56. Calculate the remainder when 86 is divided by c.
2
Suppose -4*p = -3*h - 351, p = -2*p. Let z be h/(-2) + 8/(-16). Suppose -4*a + 2*a = 4*g - 122, 2*g + 4*a = z. Calculate the remainder when 91 is divided by g.
29
Calculate the remainder when (-3484)/2613*(-4979 - 1) is divided by 229.
228
What is the remainder when 5 - ((8 - 21) + 6) is divided by (-15 - -1)*(-8)/16?
5
Let g = 1949 + -1853. What is the remainder when g is divided by 50?
46
Suppose 432 = 222*x - 219*x. Calculate the remainder when x is divided by 52.
40
Suppose -c - 28*t + 502 = -23*t, 3*c - 3*t - 1434 = 0. What is the remainder when c is divided by 178?
126
Suppose 0 = 55*j - 106*j + 22*j + 2697. What is the remainder when 826 is divided by j?
82
Suppose -7 = -3*m + 5. Suppose -4*t + 3*c + 60 = 0, -t + 2 = -0*t - m*c. What is the remainder when 179 is divided by t?
17
Suppose d + 1023 = 3*i + 326, 2*i - 483 = -3*d. Suppose 18*t - i = 126. What is the remainder when 118 is divided by t?
18
Let a(l) = l**2 - 18*l - 44. What is the remainder when 730 is divided by a(21)?
8
Let b be (40/14)/(24/924). Let c = -284 - -490. Let v = c - b. Calculate the remainder when v is divided by 20.
16
Suppose -18*q + 23*q = 4*c - 218, 0 = -3*c - q + 154. Calculate the remainder when 348 is divided by c.
36
Suppose -6*s + 792 = -18. Suppose 192 = -948*b + 960*b. Calculate the remainder when b is divided by s/25 - 3/(-5).
4
Let t = -200 - -245. What is the remainder when 184 is divided by 2 + (-5)/(t/(-342))?
24
Let a(c) = -c**2 - 3*c + 2. Let l be a(-2). What is the remainder when (0 - 24)/((-8)/l) is divided by 5?
2
Suppose a - 15 = -19. What is the remainder when (((-56)/(-3))/(-7))/(a/126) is divided by 29?
26
Let a(b) = b**2 - 10*b + 13. Suppose 0*f = -3*f + 9. Suppose u + 4*c = f - 12, 4*c - 35 = -5*u. What is the remainder when 118 is divided by a(u)?
22
Let u(s) = -s**3 + 6*s**2 - 2*s + 17. What is the remainder when 826 is divided by u(5)?
26
Let c(b) = -492*b - 5906. Calculate the remainder when c(-14) is divided by 27.
10
Let l(g) = g**3 + 8*g**2 + 3*g - 14. Let r be 56/(-10) + (-4)/10. Let v be l(r). Let y = v + -35. What is the remainder when 14 is divided by y?
4
Let o(r) = -r**3 - 9*r**2 - 20*r + 7. Let q be (31 - 30)/((-2)/10). Calculate the remainder when 29 is divided by o(q).
1
Suppose 0 = 3*b - 49*r + 48*r - 5545, 2*r = -b + 1846. What is the remainder when b is divided by 183?
18
Suppose -9*a + 5*o - 35 = -14*a, -11 = -a - 3*o. Suppose 2*b - 657 = -a*i + 5*b, 0 = -3*i - 4*b + 371. What is the remainder when i is divided by 17?
10
Let v = 16 + -5. What is the remainder when (522/(-8))/(2781/(-1236)) is divided by v