 Suppose c - 83 = 5*d, 5*d - 415 = 10*c - 15*c. What is the remainder when c is divided by b?
20
Let k be 10/45 - (-6796)/36. Suppose -63*t + 70*t = k. Calculate the remainder when 242 is divided by t.
26
Let i(o) be the third derivative of -o**6/60 - o**5/30 + o**4/6 - 5*o**3/6 + 4*o**2 - 7. What is the remainder when i(-4) is divided by 28?
19
Suppose -4*j - 570 = -5*q, -q + 0*q + 4*j = -114. Suppose -q = -w - 102. What is the remainder when w is divided by 6?
0
Let f(y) = 5*y**2 - 2*y + 68. Calculate the remainder when f(-10) is divided by 20.
8
Suppose -5*f = -5*j + 245, 10*f = 14*f + 12. What is the remainder when (3 - (-80)/(-24))*(0 - 267) is divided by j?
43
Calculate the remainder when (-1 - -504) + 180/(-15) is divided by 83.
76
Suppose 2 = 2*r - 0*r + 2*o, r + 4*o - 1 = 0. Let s(m) = -15*m**3 - 2*m**2 + m. Let b be s(r). Calculate the remainder when (b/28)/(4/(-42)) is divided by 1.
0
Suppose 2*x - 1081 = -3*s, -5*s - 714 - 375 = -2*x. What is the remainder when x is divided by 39?
35
What is the remainder when 98/112*1192 + 18 is divided by 186?
131
Suppose 257 = 5*r + y - 4, 2*y + 61 = r. What is the remainder when 583 is divided by r?
0
Let l(i) = 2*i**3 - 4*i**2 + 2. Let w = -4855 - -4887. Calculate the remainder when w is divided by l(3).
12
Let x(i) = -10*i**2 + 746*i + 119. What is the remainder when x(71) is divided by 12?
11
Let z(s) = -s**3 - 5*s**2 - 6*s - 1. Let x be 141 + -2 + 12 + -5. Let k = x + -141. Calculate the remainder when z(-4) is divided by k.
2
Let g = -2345 - -2376. What is the remainder when 90 is divided by g?
28
Suppose 4*r - x = 23 + 25, 77 = 5*r + 3*x. Suppose m - 15 = -5*q, -4*q + 0 = m - r. What is the remainder when q is divided by 2?
0
Let g be ((-1)/(-3))/(6/(-36)). Let o = 3089 + -2919. What is the remainder when o is divided by -3 + g + 3 + 59?
56
Suppose 45*t + 175 = 70*t. Calculate the remainder when 203 is divided by t.
0
Suppose 39*l = 41*l - 5516. What is the remainder when l is divided by 23?
21
Let x be 4/(-5)*2*(-5 + 0). Suppose 0 = -w + 18 + x. Let h = w - 23. What is the remainder when 7 is divided by h?
1
Let w = -1685 - -2842. Suppose 17*c - 4*c = w. What is the remainder when c is divided by 34?
21
Let o = 40 - 10. Let l = -53 - -34. Let d(n) = n**2 + 16*n + 1. Calculate the remainder when d(l) is divided by o.
28
Let y(p) = 3*p - 14. Let i be y(6). Suppose 0 = -2*v + 12 - i. Let z(j) = 2*j**3 - 14*j**2 - 37*j + 28. What is the remainder when z(9) is divided by v?
3
Let c(k) = -11*k**2 - 408*k + 178. Calculate the remainder when c(-37) is divided by 18.
17
Suppose 3*g - 18 = -2*f, -10 = -f - 0*f - 2*g. Suppose -s + 3*c + f = 0, -4*c = 5*s - 23 - 26. Calculate the remainder when s is divided by 6.
3
Let i = -12689 - -13961. Calculate the remainder when i is divided by 49.
47
Suppose -13*k + 18*k - 611 = -4*d, -472 = -4*k + d. What is the remainder when k is divided by 20?
19
Let a be 18/(-8) + 24/96. Let t(l) = 4*l**2 - 6*l - 6. Calculate the remainder when (11 - 4)/(3/36) is divided by t(a).
18
Suppose 3*c + 11 = -4*v - 8, -35 = 3*c - 4*v. Let n(k) = 6*k + 1 + 6*k - 5*k + k**2. Calculate the remainder when 56 is divided by n(c).
18
Suppose -8 = -2*l + 16. Let b be (-1)/((-87)/285 + 4/38). Suppose -b*a = -57 + l. What is the remainder when 12 is divided by a?
3
Let u(z) = -157*z - 65. Let a be u(-3). Suppose 14*h = a + 1946. What is the remainder when h is divided by 34?
32
Let x = -1060 - -1078. What is the remainder when 412 is divided by x?
16
Let q(n) = 32*n**3 - 5*n**2 + 10*n - 5. Let v be q(2). Suppose -v - 235 = -18*j. What is the remainder when 29 is divided by j?
2
Let p = 1399 + -935. Suppose -7*j = 114 - p. Suppose 8*o - 2*o - 78 = 0. What is the remainder when j is divided by o?
11
Let j be (-4)/((-1776)/(-892) - 2). Let q = j + -267. What is the remainder when q is divided by 30?
29
Let l = 4632 + -9147. Let a = 16466 + -16468. Calculate the remainder when l/(-18) + a/(-12) is divided by 36.
35
Suppose -3*r + 2*g - 154 = -535, 4*g = -4*r + 488. Suppose -3*p = 4*b - 253, -12*p - r = -2*b - 13*p. Calculate the remainder when 118 is divided by b.
57
Let d = -485 + 496. Let k = 50 + d. Calculate the remainder when k is divided by 22.
17
Suppose 5*r + 28 = 9*r. Suppose 4*f - 4*s - 16 = 0, -2*s = -4*f + r + 5. Let b = 2132 - 2130. Calculate the remainder when b is divided by f.
0
Suppose 4*q + o = 503, 1 = -5*q - 5*o + 611. What is the remainder when 135 is divided by q?
8
Let w(h) = h**3 - h**2 - 2*h + 2. Let f be w(2). Let s(u) = 2*u**3 - 2*u - 1. Let i = -140 + 180. Calculate the remainder when i is divided by s(f).
7
Suppose 126*o = 93*o + 693. Suppose -2*s - 10 = -4*g + 8, 0 = 5*g + 3*s - 17. Let w(h) = 16*h - 2. Calculate the remainder when w(g) is divided by o.
20
Let d = 22 + -19. Suppose 4*q - 2*y - d*y = 240, -3*q + 3*y + 180 = 0. Let f(v) = 22*v**2 - v. What is the remainder when q is divided by f(1)?
18
Suppose 2*c = 1786 - 556. Suppose -2*u - 468 = -4*w, -5*w = 6*u - u - c. Suppose -4*b = 29 - 193. Calculate the remainder when w is divided by b.
37
What is the remainder when 567 is divided by 14/(-63) + (2/(-6) - 70016/(-576))?
83
Let u = -2718 + 2741. Calculate the remainder when u is divided by 5.
3
Let d(b) = b**3 + 7 + 5 - 7*b - 9*b**2 + 2*b**2. What is the remainder when (60/8 - 3)*22/3 is divided by d(8)?
13
Let t = 430 + -424. What is the remainder when 2757 is divided by t?
3
Suppose -9*i + 1035 = -2034. Suppose 0 = -2*n + i + 595. Calculate the remainder when n is divided by 67.
66
Let g = -24 - -45. Let k be -2 + -12*(-6)/12. Suppose -2*w - k*f + 139 = 29, -w + 4*f = -73. Calculate the remainder when w is divided by g.
19
Suppose 0 = -22*n + 79*n - 23*n - 3910. Calculate the remainder when 800 is divided by n.
110
Let i(x) = -x**3 - 9*x**2 - 22*x - 15. Let t be i(-5). What is the remainder when 339 is divided by (3 + 0)/(t/(-270)*9)?
15
Suppose -28*a = 100*a - 17*a - 21312. Calculate the remainder when a is divided by 4.
0
Let r(x) = 12*x**3 - 2*x**2 + 11*x - 100. What is the remainder when r(5) is divided by 467?
4
Suppose 2*r - 806 = 282 - 164. What is the remainder when 1424 is divided by r?
38
Let r be (73 - -12) + (-1 - 0). Suppose 0 = f + 3*f - r. Let x(d) = 9*d - 16. Calculate the remainder when x(6) is divided by f.
17
Suppose -3*o - 177 = -11*x + 6*x, 2*x - 5*o - 86 = 0. Suppose -1968 + 252 = -x*g. Calculate the remainder when 207 is divided by g.
51
Suppose 13*a - 26*a + 40810 = 22*a. Calculate the remainder when a is divided by 90.
86
Suppose 3*r = -o + 242, -r + 7*o - 4*o + 84 = 0. Calculate the remainder when 104 is divided by r.
23
Suppose -3*y + 96 = 2*y + m, 3*y = -2*m + 52. What is the remainder when 2918 is divided by y?
18
Calculate the remainder when (-175)/(-1) + 372/186 is divided by 18.
15
Suppose 109*d - 111*d = -10. Suppose -3*f - 108 = -d*g - 31, 4*f = -2*g + 10. Let a = 29 - -5. What is the remainder when a is divided by g?
8
Suppose -5*q + 581 = h, -37*q - 2*h = -36*q - 118. Calculate the remainder when q is divided by 34.
14
Let w(l) = 3*l**3 + 2*l**2 + 3*l + 1. Let f be w(-1). What is the remainder when (-57 - (f + 5))/((-2)/2) is divided by 8?
3
Let d(q) = 8*q + 5 - 12*q**3 + 12*q**2 - 1 + 7 + 11*q**3. What is the remainder when d(12) is divided by (-5 - 34/4)*4/(-3)?
17
Suppose 5*b - 1 = -4*k + 19, -3*k + 10 = 5*b. Let s = 30 + k. What is the remainder when 317 is divided by s?
37
Suppose 2*p = -2*p + f + 111, -p + 5*f + 4 = 0. Suppose -2*r = -5*s - 189, -4*r - 56*s + 420 = -60*s. What is the remainder when r is divided by p?
25
Let f be 2/(6/3) - 1. Suppose -6*p + 7*p = -11*p. Suppose 4*n = 8, p = m - f*n + n - 22. What is the remainder when 119 is divided by m?
19
Let g(j) = 119*j - 23. Let q be g(-3). Let f = -280 - q. Calculate the remainder when f is divided by 21.
16
Calculate the remainder when 716 is divided by 1610/13 - (357/(-546) + 4/8).
96
Let b(a) = 98*a - 11. Let u be b(3). Suppose -8*i + u + 181 = 0. Calculate the remainder when 110 is divided by i.
52
Let z = -3 - -9. Let a = -17 - -14. Calculate the remainder when 125 is divided by a + -2*(-63)/z.
17
Let s = 1344 - 1182. Suppose 48*q + s = 57*q. Suppose -o = -5*o - 4*v + 52, 4*o = 4*v + 28. What is the remainder when q is divided by o?
8
Suppose -3*q 