
Let l = 7 - 3. Suppose q - 22 = -3*w + 45, 3*w - q - 65 = 0. What is the remainder when w/4 + 13/(-26) is divided by l?
1
Let f(h) = -9*h**3 + 2*h**2 + 3*h + 2. Let t be f(-1). Let s(l) = l**3 - 11*l**2 + 14*l - 12. What is the remainder when 107 is divided by s(t)?
23
Suppose -79 = -12*y - 19. What is the remainder when 304 is divided by y?
4
Let u(w) = -w**3 + 4*w**2 + 6*w. Let s(p) = 2*p + 4. Let x be s(-2). Let k(j) = j**3 - j + 5. Let a be k(x). What is the remainder when 7 is divided by u(a)?
2
Let i = 2078 + -2044. What is the remainder when i is divided by 18?
16
Let t = 1693 - -793. What is the remainder when t is divided by 19?
16
Let g = -9 - -11. Suppose 4*v = -4, -6 - 1 = g*s + 3*v. Calculate the remainder when 38 is divided by (-1136)/(-56) + s/7.
18
Suppose 5*u - 2*u - 270 = 0. Suppose 0 = 2*v - 294 + u. Suppose w = -2*w + 78. Calculate the remainder when v is divided by w.
24
Let t = 233 - 227. Calculate the remainder when 335 is divided by t.
5
Suppose 5*i - 60 = -5*j, -j = 4*i - 3*j - 42. What is the remainder when 80 is divided by i?
3
Suppose t + 5*h = -17 - 0, 4*h + 36 = 2*t. What is the remainder when 95 is divided by t?
7
Let y = 543 + -494. Calculate the remainder when 342 is divided by y.
48
Let g(p) = -p**2 - 5*p + 6. Let a be g(-5). Suppose -3*m + 5*m - a = 0. Suppose m*f - 28 - 20 = 0. Calculate the remainder when 46 is divided by f.
14
Let l(w) = -w**2 - 8*w + 12. Calculate the remainder when 17 is divided by l(-8).
5
Let s(h) = h**3 - 5*h**2 + 4. Let x be s(5). Let w(z) = -z**2 + 6*z + 0*z - 5 - x + 3*z**2. Calculate the remainder when w(-7) is divided by 12.
11
Suppose 19 = 2*m - t, -202*m - t = -203*m + 12. Suppose -2*y + 4 = -16. Calculate the remainder when y is divided by m.
3
Let t = -11 + 13. Suppose -p = -3*j + 25, 0 = t*j + 3*p - 5*p - 10. Suppose s = 4*s - 54. Calculate the remainder when s is divided by j.
8
Let u = 63 - 61. Suppose 0 = -u*c + 43 - 1. Calculate the remainder when 38 is divided by c.
17
Let q = -28 + 31. Suppose -q*n - 29 = -194. What is the remainder when n is divided by 21?
13
Let i = 22 + -2. Let m = -17 + i. Suppose -m*y - 2*o = -43, -3*o = y - 0*o - 12. What is the remainder when 59 is divided by y?
14
Suppose 0 = -3*c + s + 9 + 3, -3*s = -9. Calculate the remainder when 68/11 - 10/55 is divided by c.
1
Suppose -4*r + 466 = 8*t - 3*t, 4*t = 4*r - 448. Calculate the remainder when r is divided by (-5)/2*-22 + 21/7.
56
Let m(v) = -39*v**3 + 3*v**2 + v + 3. Calculate the remainder when m(-2) is divided by 66.
61
What is the remainder when 142 is divided by (48/(-30))/((-1)/30)?
46
Let z = -420 + 513. What is the remainder when z is divided by 5?
3
What is the remainder when (-572)/8*(-6 - -4) is divided by 3?
2
Let g be 4/(-18) - (-303)/27. Calculate the remainder when 28 is divided by g + (0 - 1) + -4.
4
Suppose 2*d = -2*l - d + 221, -417 = -4*l - d. Let r = -26 + 52. Calculate the remainder when l is divided by r.
25
Let c = -418 + 438. Calculate the remainder when 99 is divided by c.
19
Suppose f = -6*s + 3*s + 29, -5*f + 13 = 3*s. What is the remainder when 31 is divided by s?
9
Let r = -898 + 984. Calculate the remainder when r is divided by 45.
41
Suppose 0 = -x + 19 + 29. Let k = -15 + 25. Calculate the remainder when x is divided by k.
8
Let v(w) = 2*w**2 + 5*w - 196. What is the remainder when 146 is divided by v(-12)?
18
Suppose 0 = i + 3*q - 9, 3*i - 2*q = 7 + 9. What is the remainder when i is divided by 4?
2
Suppose -2*h + 4*v = -36, -47 = -4*h - 85*v + 88*v. Suppose -r = -3*r + 10. What is the remainder when h is divided by r?
3
Suppose -6*k + 42 = k. Suppose 0 = -k*b + 106 - 40. What is the remainder when 43 is divided by b?
10
Suppose -2*p + 0 = -10. Calculate the remainder when 49 is divided by p.
4
Let r = 9 - 6. Suppose 0 = r*d + d. Suppose d = -2*z + 12. What is the remainder when 10 is divided by z?
4
Let p(n) = -n**2 + 4*n + 10. Let o be p(5). Let h = -3 + o. Suppose -32 = -5*c - h. Calculate the remainder when 27 is divided by c.
3
Let o(u) = -u**2. Let c(y) = 2*y**2 + 3*y - 6. Let p(i) = -c(i) - 3*o(i). What is the remainder when p(4) is divided by 3?
1
Suppose 18 = -2*q - c + 139, 0 = -5*q - c + 301. Suppose h = -h + 42. What is the remainder when q is divided by h?
18
Let q be -1*(3 - 2)*0. Suppose 3*o = -q + 12. Calculate the remainder when o is divided by 2.
0
Let b be (-103)/(-3) + 36/54. Let j(r) = b*r + r**3 + 0 - 12*r**2 + 2 - 33*r. What is the remainder when 51 is divided by j(12)?
25
Suppose m + m = -54. Let s = 742 - 737. Calculate the remainder when -2 - (-1 - m)*-1 is divided by s.
4
Suppose 0 = 3*d + 5*u - 123, -8*d - 196 = -12*d + 4*u. Suppose h + n - 1 - 5 = 0, -5*h - n + d = 0. What is the remainder when 36 is divided by h?
6
Suppose -4*s + 56 = 5*v - 106, -4*v = -5*s - 105. Suppose -5*x + 4*x = -v. Calculate the remainder when 207 is divided by x.
27
Let t(y) = 2*y**2 + 4*y + 9. Let l = 58 - 43. What is the remainder when t(-6) is divided by l?
12
Let g = 659 - 613. What is the remainder when 85 is divided by g?
39
Suppose -263*n + 246*n + 561 = 0. Calculate the remainder when 60 is divided by n.
27
Let z = 17 + -95. Calculate the remainder when 29 is divided by (-792)/z + 2/(-13).
9
Let n(k) = -9*k + 5. Let h be n(5). Let p = 49 + h. Suppose -3*z - 3*c + 48 = 0, 3*z - c - 2*c - 42 = 0. What is the remainder when z is divided by p?
6
Suppose 3*v + 2*v - 4 = 4*d, -4*d - v = -20. Suppose -4*q - 2*h - 2*h = -d, 4*q - 3*h - 11 = 0. Let n = -9 - -14. What is the remainder when n is divided by q?
1
Suppose 4*n - 36 = -q, 0*n - 4*n = -3*q + 124. Let y be ((-15)/10)/(3/56). Calculate the remainder when q is divided by ((-39)/(-26))/((-2)/y).
19
Let d(j) = -2*j**2 - 20*j - 27. What is the remainder when 1*(41 + -1 + 1) is divided by d(-7)?
11
Suppose g = -4*a + 916, -6*a = -a + 4*g - 1156. What is the remainder when a is divided by 52?
20
Let b be (-2)/(-6) + (-153)/(-27). Suppose 0 = 4*m - 20, 2*p - 10 = -4*m + b*m. Suppose 2*l - 32 - 22 = 0. Calculate the remainder when l is divided by p.
7
Let a = 237 - 234. What is the remainder when (3/2)/(3/44) is divided by 2 - (-12)/(5 - a)?
6
Suppose -15*i = -1243 - 1172. What is the remainder when i is divided by 82?
79
Suppose 0 = -81*z + 77*z + 84. Calculate the remainder when 69 is divided by 2*(2 + 2*z/6).
15
Let b(l) = 2*l + 2. Let f be b(2). Suppose 0 = -3*i + a - 4*a + 69, 3*i - 4*a = 48. Calculate the remainder when i is divided by ((-4)/f)/(4/(-66)).
9
Suppose 0 = 5*w - 47 + 2. Calculate the remainder when 15 - (-4)/1 - -4 is divided by w.
5
Let j = -1377 + 1623. What is the remainder when j is divided by 31?
29
Suppose 1225 = 5*c + 5*u, 0 = 2*c - 2*u + 47 - 521. Calculate the remainder when c is divided by 49.
45
Suppose 748 + 605 = 11*o. What is the remainder when o is divided by 42?
39
Let x = 0 + 27. What is the remainder when 51 is divided by x?
24
Suppose -2*d - 3 = -3*h - 4, -2*d + 13 = h. Suppose h*n + 9*n - 624 = 0. Calculate the remainder when 151 is divided by n.
47
Let d(h) = -h**2 - 10*h - 5. Let r be d(-12). Let n(z) = z**2 + 29*z + 33. Calculate the remainder when n(r) is divided by 13.
7
Suppose 0*g + 9 = g. Suppose 2*l = -2*v + 10, 5 = 2*v - 3*l - 0*l. Suppose 175 = v*i + i. What is the remainder when i is divided by g?
8
Suppose 2*l - 4*n + 2*n - 34 = 0, -5*l = -4*n - 81. What is the remainder when 348 is divided by l?
10
Let c(l) = -16*l - 19. Calculate the remainder when 35 is divided by c(-2).
9
Let l = 45 - -32. Calculate the remainder when l is divided by 15 - -15*(-1)/(-9)*3.
17
Suppose t + z = 3, -2 = t - z + 3*z. What is the remainder when 37 is divided by t?
5
Suppose -21*u - 17*u + 3230 = 0. What is the remainder when u is divided by 15?
10
Let x = 239 - 227. Suppose -3*v = 2*v - 15. Suppose -v*r + 8 = -r. What is the remainder when x is divided by r?
0
Let z(t) = 6*t**2 + 16*t + 7. Calculate the remainder when z(3) is divided by 36.
1
Suppose 0 = -2*p + 14. Suppose 5*q = 5*r - 65, -4*q + q - 3*r - 33 = 0. What is the remainder when p is divided by q/(4/(-1)) - -2?
2
Let g = -480 + 502. What is the remainder when g is divided by 4?
2
Let w = 17 + -11. Suppose 4*g - 20 = -3*m, -g - m + w = -0*g. Calculate the remainder when g is divided by 1.
0
Suppose -16 + 781 = 5*r.