 1288 = 0. What is the remainder when 90 is divided by m?
34
Let n(j) = 2*j**2 - 3*j + 5. Let s be n(0). Suppose -3*x = s*a - 225, -185 = -5*a + 5*x - 0*x. Calculate the remainder when 209 is divided by a.
41
Let z(k) = 37*k**2 - 4*k - 1. Calculate the remainder when 441 is divided by z(1).
25
Let r be (-3)/((-1 - 0) + -2). Let u be ((-6)/8)/(r/(-20)). Suppose 9 = 2*z - u. Calculate the remainder when 47 is divided by z.
11
Let q = 26 - -26. Let k = -50 + q. What is the remainder when 5 is divided by k?
1
Suppose -4*v = 11 - 39. Let p = 23 + -13. Suppose p*n - v*n = 60. Calculate the remainder when 98 is divided by n.
18
Let h(f) = f**2 + 16*f + 78. Calculate the remainder when 41 is divided by h(-7).
11
Suppose 0 = -3*t - 4*t + 35. Suppose -3*f = -2*y - t - 47, 2*y = -4*f + 46. What is the remainder when 54 is divided by f?
12
Let s(z) be the first derivative of z**2/2 + z - 6. Let d be s(4). Suppose -d*i + 7 = -28. Calculate the remainder when 27 is divided by i.
6
Let j = 742 + -602. Calculate the remainder when j is divided by 86.
54
Let c(k) = k**3 - 6*k**2 - k - 4. Let u(r) = -r + 13. Let f be u(6). Let j = 12 + -2. Calculate the remainder when c(f) is divided by j.
8
Suppose -2*w - 3*v + 120 = 0, -13*w - 3*v = -10*w - 174. What is the remainder when w is divided by 28?
26
Suppose 13*f + 37 = 466. What is the remainder when f is divided by 14?
5
Let v = 62 + -56. Suppose -3*f - 15 = 0, v*c - 4*f - 170 = c. Calculate the remainder when 88 is divided by c.
28
Suppose 3*g + 4*l = 0, 2*l = 3*g + l. Let q(i) = 2*i + 39. Suppose -3*o + 45 = 15. What is the remainder when q(g) is divided by o?
9
Let j(q) = 6*q**2 - q. Suppose -93*k = 256 - 814. Calculate the remainder when j(2) is divided by k.
4
Let h(r) = 25*r - 10 - 11*r - 13*r. Let l be h(14). Suppose -118 = -l*o - 6. Calculate the remainder when 83 is divided by o.
27
Let u be 3/15 + (-32)/10. Let m(k) = 0 - 9 + k + 13 + 2*k + 3*k**2. What is the remainder when m(u) is divided by 6?
4
What is the remainder when (-6 - -8)*7740/24 is divided by 36?
33
Suppose -3*p + 227 = -7. Let t(y) = y**2 + 26*y + 52. What is the remainder when p is divided by t(-25)?
24
Let g(y) = 14*y**2 + 3*y + 2. Let n = -1047 - -1082. Calculate the remainder when g(3) is divided by n.
32
Suppose 5*g = -4*u - 5, 0 = 4*u - 3*g + 2*g - 25. Suppose 4*h = 2*b + 90, -2*h - u*b = -6*h + 75. Calculate the remainder when 72 is divided by h.
22
Let g = -2516 - -2541. What is the remainder when 1597 is divided by g?
22
Let a = -29 - -14. Let h be 10/a*6/(-1). Suppose 3*k - m = 12 - h, 7 = 4*k - 5*m. What is the remainder when 3 is divided by k?
0
Suppose -3*b - 4*i + 177 = 46, -5*b + 257 = -3*i. Let d = b + -31. Let v(o) = 50*o**2 + 1. What is the remainder when v(1) is divided by d?
15
Calculate the remainder when 37 is divided by 3*4/(-78) - (-342)/26.
11
Suppose -j = -z - 69 - 91, -3*j + z + 476 = 0. What is the remainder when j is divided by 28?
18
Calculate the remainder when 250 is divided by 10/(-25)*(-33 - 9/(-3)).
10
Suppose f - 24 + 97 = 0. Let p = 82 - 85. What is the remainder when (-2 + (-3)/p)*f is divided by 19?
16
Suppose -2*w - 8 = 0, -w + 4*w + 8 = -p. Suppose 0 = 372*n - 1185 - 2907. What is the remainder when n is divided by p?
3
Suppose -62 = -l - 0*l. Suppose 5*p + 4*v + 187 = 0, 3*v = 2*p + 5*v + 74. Let m = l + p. What is the remainder when m is divided by 13?
10
Let s = 73 - 5. Let f be 2 + -2 + 2 + 1. Suppose x - 36 = -f*q, q = 3*x + 2*q - s. What is the remainder when 41 is divided by x?
20
Suppose 2*q + 52 = 4*q. Suppose -2*z + q = -2*t, t - 2*t = -3*z + 49. Calculate the remainder when 71 is divided by z.
17
Let q(f) = f + 13. Suppose -50 = 4*n + n. Let b be q(n). Suppose -b*a + 4 = 1. Calculate the remainder when 3 is divided by a.
0
Suppose 0*x = -3*x + 3. Let v(p) = 35*p. What is the remainder when 172 is divided by v(x)?
32
Suppose -2*u + 20 = v + 4*v, 20 = -3*u + 5*v. Suppose -2*n = -6*n - 3*j + 144, 3*j + 12 = u. What is the remainder when n is divided by 21?
18
Let y = 902 - 882. Calculate the remainder when 438 is divided by y.
18
Let z = 4 + 2. Suppose -3*w - 27 = -t - t, 2*w = -z. Suppose 72 = 2*h + 2*b, h + 5*b - 60 = -16. Calculate the remainder when h is divided by t.
7
Suppose 2*t - 6*t = -192. Let j(u) = 15*u - 7. Let r be j(-4). Let d = -54 - r. What is the remainder when t is divided by d?
9
Let r be -1 - (5 - 4)*-277. Suppose r = 7*w - w. Let d(k) = 16*k**2. Calculate the remainder when w is divided by d(1).
14
Suppose 0 = 2*d + 3 - 95. Let u = 17 + d. Suppose 2*x = -5*j + u, j - 3*x = -4*x + 15. What is the remainder when 41 is divided by j?
8
Let f(m) = -m**2 - m - 1. Let i be f(0). Let y be 2/(-7)*(i - 6). Suppose 0*r = y*r - 8. What is the remainder when r is divided by 2?
0
Suppose -97*m = -104*m + 203. Calculate the remainder when 115 is divided by m.
28
Suppose 2*v + 3*v - 10 = 0. Suppose z - v = -i, -2*z - 1 = 3*i - 10. Suppose i*s + 6 = -a + s, 0 = a - 4*s - 34. What is the remainder when 27 is divided by a?
13
Let o = -1241 - -1251. What is the remainder when 58 is divided by o?
8
Let k(j) = -j + 13. Suppose 3*a - 3*l = 5*a - 14, -l = -a + 7. What is the remainder when 89 is divided by k(a)?
5
Let x(m) = -289*m + 2*m**2 + 15 + 281*m - m**2. What is the remainder when 4 - 1/(1/(-1)) is divided by x(6)?
2
Let j = -52 + 69. Calculate the remainder when j + (-3 - (-24)/9)*-6 is divided by 11.
8
Suppose -5*s = 84 - 224. Suppose s + 47 = 5*a. Calculate the remainder when 162 is divided by a.
12
Suppose 3*x = 3*w - 3, -7 = 4*w + 9. Let o(i) = -30*i + 7. Let h be o(x). Suppose -2*g = -h + 43. Calculate the remainder when g is divided by 15.
12
Suppose 0 = -x + 3*x - 2*c - 106, -2*c + 114 = 2*x. What is the remainder when x is divided by 19?
17
Suppose -3*t - 57 = -4*x, -3*x + 45 = -5*t + 2*t. What is the remainder when 101 is divided by x?
5
Let n(z) = 3*z**3 + 1. Let b be n(-1). Calculate the remainder when -2*(-6 + 1 + 0) is divided by (-18)/(-5) + b/(-5).
2
Let r(z) = -z**3 + 10*z**2 + 12*z + 20. Calculate the remainder when r(11) is divided by 11.
9
Suppose 0 = -v + 8*v - 35. Calculate the remainder when 12 is divided by v.
2
Suppose 173 + 235 = 51*m. Let h = -20 - -35. Calculate the remainder when h is divided by m.
7
Suppose -2*h - 6 = 42. Let p = h - -30. What is the remainder when 9 is divided by p?
3
Let x = 583 + -489. Calculate the remainder when x is divided by 20.
14
Let s(r) = 32*r - 26. Let j(c) = -2*c**3 - 3*c**2 - 3*c - 2. What is the remainder when s(4) is divided by j(-2)?
6
Suppose 3*s + 3*j - 200 = 346, -2*j + 1108 = 6*s. Calculate the remainder when s is divided by 48.
42
What is the remainder when (-10)/4 - 329/(-14) is divided by 13?
8
Suppose t = -1 + 9. Let p(a) = -a**3 + 8*a**2 + 2*a - 10. Let m be p(t). Suppose 0 = -o + m*o - 120. Calculate the remainder when 46 is divided by o.
22
Let i = 310 + -279. What is the remainder when 56 is divided by i?
25
Let j = -1896 - -1907. What is the remainder when 409 is divided by j?
2
Let j be (((-240)/(-9))/4)/((-5)/(-60)). Suppose 50 = 5*s - j. What is the remainder when 51 is divided by s?
25
Let c(h) = -h**2 + 6*h + 103. Calculate the remainder when c(0) is divided by 15.
13
Let u = -482 + 514. What is the remainder when u is divided by 12?
8
Suppose 1132 + 1031 = 7*z. What is the remainder when z is divided by 78?
75
Suppose -20*m = -39*m + 9025. What is the remainder when m is divided by 34?
33
Suppose -x + 171 = -a, -x + 14*a - 11*a = -163. Calculate the remainder when x is divided by 60.
55
Let p(g) = g + 19. Let x be p(-10). Let o be 3/6 + x/2. Suppose 0 = 4*v - 3*v + o, 4*l = 2*v + 158. Calculate the remainder when l is divided by 10.
7
Calculate the remainder when 59 is divided by 0 - (-11)/(-22) - (-45)/2.
15
Let x(z) = z**3 - 5*z**2 - 21*z + 128. Let n = -41 + 68. Calculate the remainder when x(7) is divided by n.
25
Let c = 339 - 307. Calculate the remainder when 36 is divided by c.
4
Let b(f) = 31*f**3 - 7*f + 8. Suppose 4*v = -8, -2*v - 46 + 6 = -2*p. What is the remainder when b(1) is divided by p?
14
Let k(l) = 21*l - 83. Calculate the remainder when k(16) is divided by 52.
45
Suppose -2*x - 2*g = -12, -g = -x - 0 + 12. What is the remainder when 115 is divided by x?
7
Suppose s = 16*s - 975.