 Calculate the remainder when 57*(0/y + c) is divided by 20.
17
Suppose -3*p - 14 + 92 = 0. Let g = 4 + -2. Suppose 0 = 5*w + 4*d - 80, 2*w - p = -w + g*d. What is the remainder when 20 is divided by w?
8
Suppose 21 = -5*i - 4, -5*a + 4*i + 55 = 0. Suppose 5*f = 3 + a, n = 3*f + 53. What is the remainder when n is divided by 20?
19
Suppose 5*c - 3*l = 2*l + 15, 5*c + l - 33 = 0. Let m = 47 - 32. Let z = m - 12. Calculate the remainder when c is divided by z.
0
Let m(t) = -4*t - 16*t**2 - t + 2*t + 6 - 3*t. Let f(i) = 5*i**2 + 2*i - 2. Let q(n) = 10*f(n) + 3*m(n). What is the remainder when 37 is divided by q(2)?
7
Let w = -4 - -5. Let l = 31 + w. What is the remainder when (108/24)/(2/l) is divided by 15?
12
Suppose h + 24 = 5*h. Let w be (-2)/h - 539/(-33). Let b = -10 + w. What is the remainder when 10 is divided by b?
4
Suppose 125 = -5*u + b, -2*u + b - 64 = -17. Let n = 26 + u. Suppose -5*g + 7 + 43 = n. Calculate the remainder when 14 is divided by g.
4
Let m(o) = -o**3 + o**2 - o. Let c be m(1). Let f be 0*c/4 + 33. Suppose 0*n - f = -3*n. Calculate the remainder when 18 is divided by n.
7
Suppose 1263 - 509 = 26*g. What is the remainder when g is divided by 1/(((-1)/1)/(-3))?
2
Suppose 27 = 2*n - b + 4*b, -n + 33 = -5*b. Calculate the remainder when 48 is divided by n.
12
Suppose 5 + 15 = 4*p. Let o = -2 + p. Suppose 5*u - 199 = -o*q, 5*u - 71 = 4*q + 142. What is the remainder when u is divided by 11?
8
Let i = -14 - -20. Let p(l) = -2*l + 3. Let j be p(0). Suppose 3*f = 4*u + 57, f + j*f = -2*u + 54. What is the remainder when f is divided by i?
3
Let w = 518 - 464. Calculate the remainder when w is divided by 22.
10
Let m(n) = -2*n - 2. Let f be 11*(3 + -1 + -3). What is the remainder when m(f) is divided by 12?
8
Let t = 32 + -19. Let m = -327 + 360. Calculate the remainder when m is divided by t.
7
Suppose 0 = -s + 41 + 17. Let z = s - 25. Calculate the remainder when z is divided by 9.
6
Let z = 415 + -235. Calculate the remainder when z is divided by 67.
46
Suppose 4*y - 135 = -7. Let l = -90 + 112. Suppose -3*o + 2*d = -l, 3*o + 2*d + y = 7*o. Calculate the remainder when o is divided by 4.
2
Let p(g) = 2*g**3 - 21*g**2 + 18*g - 42. Calculate the remainder when (-1 + 0)/1 + 72 is divided by p(10).
33
Let w(r) = -r**3 - 10*r**2 + 9*r - 2. Suppose -5*q + 80 = -5*b, 3*b - 43 = 6*b - 2*q. Calculate the remainder when w(b) is divided by 15.
5
Let b(d) = d**3 + d**2 + 2*d - 6. Let m be b(6). Suppose m = 4*t + 2*t. What is the remainder when t is divided by 12?
7
Let l(k) = 3*k**2 + 13*k + 43. What is the remainder when 36 is divided by l(-3)?
5
Let t(w) = -w**3 - 4*w**2 - 2*w + 5. Suppose 0*g - 2*g = 8. Calculate the remainder when t(g) is divided by 117/(-78)*(-28)/6.
6
Suppose 0 = -2*y + 2*i - 8, 0 = y - 2*i - 2*i - 11. What is the remainder when 99 is divided by (-87)/y - 6/(-18)?
9
Suppose -3*j = -7*k + 3*k + 137, 2*k - 81 = -j. Calculate the remainder when k is divided by 10.
8
Suppose -h = -2*i + 82, 0 = 2*i - 5*h - 44 - 38. Let m = i - 36. What is the remainder when m is divided by 4?
1
Suppose -174*i + 3036 = -1662. Suppose -2*j - 16 = -3*j. Calculate the remainder when i is divided by j.
11
Suppose 2*a - 1421 = -3*p, 713 = 2*p - 3*a - 230. What is the remainder when p is divided by 17?
14
Let k = -13 - -186. What is the remainder when k is divided by 67?
39
Suppose 583 + 89 = 4*c. What is the remainder when c is divided by 13?
12
Suppose 5*d + 5 = 4*s, s + 5*d = 4*d - 1. Suppose s*v = v - 29. Let n = v - -8. What is the remainder when n is divided by 19?
18
Let z = -1235 + 1245. What is the remainder when 877 is divided by z?
7
Suppose 5*m = 71 + 159. Calculate the remainder when 319 is divided by m.
43
Let c = 701 - 682. Calculate the remainder when 69 is divided by c.
12
Let r(x) = 2*x**2 + 4*x + 2. Suppose -137 = 3*b - u, u = -3*b - u - 149. Let g = b - -49. What is the remainder when r(-2) is divided by g?
0
Suppose 4*s - 100 = 64. Let j be (-2)/(-4)*1*10. Suppose -15 = -j*a, 0 = -3*b - b - a + 47. What is the remainder when s is divided by b?
8
Let s(y) = -19*y + 10. Let r be s(12). Calculate the remainder when -4 + (r/(-8))/(4/16) is divided by 18.
15
Suppose u + 2*u - 144 = 0. Let v be 1/(39/(-6)) - (-379)/13. Let c = u - v. What is the remainder when 54 is divided by c?
16
Let c = -1 + 13. Suppose -3*u - c + 36 = 0. Calculate the remainder when (-24)/(-48)*(-1)/(2/(-92)) is divided by u.
7
Let p(n) = n**2 + 0*n - 7610 + 7604 + 5*n. What is the remainder when 25 is divided by p(-7)?
1
Suppose -2*z + 151 + 233 = 2*a, -4*z + 795 = -5*a. Suppose -3*s + 2 = -2*s. Suppose 7*i - s*i - z = 0. What is the remainder when i is divided by 14?
11
Suppose i = -50*i + 9486. What is the remainder when i is divided by 7?
4
What is the remainder when 16 is divided by -6*(22/(-4) + (4 - 0))?
7
Let b be 0/3*1/2. Suppose -5*x - 2 + 82 = b. Suppose 0 = o - 0*o - x. Calculate the remainder when o is divided by 9.
7
Let v be (1 + 0)/(1/(-26)). Suppose -132 + 892 = -19*n. Let m = v - n. What is the remainder when 54 is divided by m?
12
Suppose 3*u = 4*u - 3. Suppose -13 = -u*j + 11. Calculate the remainder when 141 is divided by j.
5
Let u be (-5)/15 - 20/(-6). Suppose 0 = -5*w + 3*d - 5*d + 131, -41 = -2*w + u*d. What is the remainder when 97 is divided by w?
22
Let f = -31 + 19. Let x = 128 - 73. Calculate the remainder when x is divided by (-167)/(-6) - 2/f.
27
Let c be (4/14)/(81/(-42) + 2). Suppose -4*y - c*y + 352 = 0. Calculate the remainder when y is divided by 12.
8
Let z(y) = -2*y**2 + 24*y + 14. Let s be z(10). What is the remainder when 2/(-8) + 269/4 is divided by (81/s)/(3/28)?
11
Suppose -3*r - 8 = -5*g, 4*r - 5*g = -7*g - 28. Let i(b) = 0*b**3 + 8*b + b**3 + 8*b**2 - 1 + 9. Calculate the remainder when i(r) is divided by 9.
5
Calculate the remainder when 49/(-21) - 156/(-9) is divided by 8.
7
Suppose -3*m - 56 = -7*m. Suppose 66 = m*d - 11*d. What is the remainder when d is divided by 8?
6
Suppose -2*t = 2*t + 5*k - 23, 3*t + k - 20 = 0. Suppose o - 22 + t = 0. Calculate the remainder when 25 is divided by o.
10
Suppose -4 = 2*d - 2. Let a = 91 + d. Calculate the remainder when a is divided by 31.
28
Calculate the remainder when 2 + 52 - (-2 + -3) is divided by 14.
3
Suppose r + 0*r - 2 = 0. Suppose -4*j - 12 = -56. What is the remainder when -4 - ((-47 - 2) + r) is divided by j?
10
Let r = -218 - -243. What is the remainder when 373 is divided by r?
23
Suppose -p + 48 = 2*p. Suppose 2*u = 4*u - p. Let z(f) = -f**3 - 2*f**2 + 2*f + 5. Calculate the remainder when z(-4) is divided by u.
5
Let l(b) = 2*b + 39. Calculate the remainder when 90 is divided by l(-8).
21
Let p(r) = -23*r - 37. What is the remainder when 56 is divided by p(-3)?
24
Suppose q + 4*i + 1 = 23, -5*q + 65 = 5*i. Suppose n + q = 4*b, 4*n - b - 12 = 2*b. Calculate the remainder when 87/5 + (-4)/10 is divided by n.
5
Let t(c) = c**3 + 13*c**2 + 13. Let f = -49 - -36. What is the remainder when 2/4 + (-292)/(-8) is divided by t(f)?
11
Let d be (-64)/(-10) - (-4)/(-10). What is the remainder when d/(-5)*(-2 + (-333)/6) is divided by 18?
15
Suppose 52*z = 48*z + 48. Calculate the remainder when 14 is divided by z.
2
Suppose 4*h = -2*x + 24, -h + 3*x = -0*h + 1. Suppose 48 = -2*k + h*k. What is the remainder when 61 is divided by k?
13
Suppose 4*w + 1 = 29. Let q(y) = -89*y**3 - y**2 - y + 1. Let h be q(1). Let g = h - -116. What is the remainder when g is divided by w?
5
Let j(k) = k**3 + 9*k**2 + 20*k + 129. What is the remainder when 122 is divided by j(-8)?
23
Let x be 28/3 + 1/(-3). Let i(p) = -79*p**3 - 3*p**2 + p + 4. Let k be i(-1). Suppose 0 = -2*a + k - x. What is the remainder when a is divided by 9?
8
Let p = 113 + -39. Suppose 2*b + p = 4*b. What is the remainder when b is divided by 13?
11
Suppose -4*z + 2 = 10. Let h(o) = 5*o**2 - o. Let y(p) = 4*p + 1. What is the remainder when h(z) is divided by y(1)?
2
Suppose -2*d = 2, -2*t - 3*d = 2*d - 1. Suppose -4 = -0*v - v + 3*f, 3*f = 4*v - 7. Calculate the remainder when 13 is divided by v + 0 + (t - 0).
1
Let k = 2 - -1. Let f be 8/k - (-10)/(-15). Suppose -2*a - 149 = -3*x, -142 = -3*x - 3*a - f*a. Calculate the remainder when x is divided by 17.
15
Suppose -3*t - 12 = -7*t. Let g be (-15)/(-1)*1