- 32*n. What is the remainder when x(t) is divided by 10 + -1*0/(-1)?
9
Suppose 0*o - 2120 = -4*o + 5*d, -3*d + 2088 = 4*o. Let q = 31 + -19. Calculate the remainder when 7 + o/20 + (-9)/(-12) is divided by q.
10
Let y(o) = o**2 - 14*o + 45. Let x be y(9). Suppose x = -16*v - 14*v + 450. Let k(s) = s**3 - 2*s**2 - 3*s - 2. What is the remainder when k(5) is divided by v?
13
Let z(u) = -u + 18. Calculate the remainder when 7 - 1341/189 - (-4918)/42 is divided by z(8).
7
Suppose -61*d + 98387 - 9503 = 47*d. Calculate the remainder when d is divided by 32.
23
Suppose 0 = -28*y + 317 + 103. What is the remainder when 176 is divided by y?
11
Calculate the remainder when ((-2)/((-110)/1089))/(-4*(-2)/440) is divided by 26.
23
What is the remainder when (3444/1845)/(2/639)*(-10)/(-3) is divided by 19?
12
Let r = -116 - -180. Let c be (-286)/(-8) - (-1)/4. Let s = 69 - c. What is the remainder when r is divided by s?
31
Suppose -3*h = t - 88, 3*h - 4*h + 90 = t. What is the remainder when 465 is divided by t?
10
Let h be (-70)/21*20*-3. Suppose -2*j - r - 227 = 0, 3*j + j + 3*r + 457 = 0. Let u = j + h. Calculate the remainder when u is divided by 30.
28
Calculate the remainder when (-22 + 21)/((-6)/1104) is divided by 26.
2
What is the remainder when 4424/711 - 2/9 - -114 is divided by 51?
18
Let b = -327 - -518. Let q(f) = 2*f**2 + 4*f - 65. What is the remainder when b is divided by q(-9)?
8
What is the remainder when 498 is divided by -33*((11 - 112/24) + 1 + -8)?
14
Suppose 0 = -2*j + 3*j - 5. Let u be (5/3 + -2)/(-9*14/756). Suppose -j*n + 36 = -o + 2*o, u*o - n - 61 = 0. Calculate the remainder when o is divided by 18.
13
Suppose -b - 1833 = -3*w, -5*w - b = -1366 - 1689. What is the remainder when w is divided by 77?
72
Suppose -4 = -2*o - 4*p, 2*p = 3*o + 7*p - 4. Suppose 4*a = -a - 3*g + 70, -2*g = -2*a + 28. What is the remainder when a is divided by (o/2)/(6/(-54))?
5
Suppose -3*p = 5*q - 151, 229 = 5*p - 0*q - 3*q. Suppose z = 4*x - 37 - 15, 0 = -3*x - 3*z + 39. Let b = -1 + x. Calculate the remainder when p is divided by b.
11
Let g(k) = -2105*k**2 - 72*k - 5. Let d be g(9). Calculate the remainder when 1 - (-22)/(-20) - d/580 is divided by 33.
31
Suppose 9*j - 112457 = -98*j. Calculate the remainder when j is divided by 500.
51
Suppose -5*w + 85 = -5*m, 5*m - 2 = w - 3. Suppose 4*j - 497 = -3*y, 19*y - j = 22*y - 500. Calculate the remainder when y is divided by w.
20
Let c be (-30 - -31) + 58/2. Let h = 30 - -26. Calculate the remainder when h is divided by ((-10)/4)/((-5)/c).
11
What is the remainder when 15*(12 + (-36)/6) is divided by 16?
10
Let w(f) = f**2 - 1. Let s(p) = p**2 - 1192*p + 38. Calculate the remainder when s(0) is divided by w(6).
3
Suppose -4*b + 7 = -3*b. What is the remainder when 457/b + (-18)/63 is divided by 12/(-27)*6 + (-9 - 670/(-15))?
32
Suppose -5*k + 131 = 3*h, 2*k = 1341*h - 1342*h + 45. Calculate the remainder when 129 is divided by h.
18
Suppose -w + 3*w - 92 = 2*u, w - 46 = -4*u. Let g(q) = q**2 + 47*q - 13. What is the remainder when g(-51) is divided by w?
7
Let b(u) be the second derivative of u**4/12 - 3*u**3/2 + 17*u**2/2 + 2*u. Let z(p) = -p**2 + 11*p + 27. Calculate the remainder when b(12) is divided by z(0).
26
Suppose 294*q - 2*z - 1553 = 291*q, 1032 = 2*q + 2*z. What is the remainder when q is divided by 300?
217
Suppose -25*l + 102 = -67 + 19. What is the remainder when 40 is divided by l?
4
What is the remainder when 153986/56 - (135/(-240))/((-3)/4) is divided by 40?
29
Let o(l) = 4*l**2 - 3*l + 4. Let j be o(-3). Let q = 73 - j. Suppose 0 = w - 5*d - 37, 3*w - 11 = -4*d + q. What is the remainder when 33 is divided by w?
16
Let z be (4 + (5 - 11))*(-21)/2. Suppose -2*w = -24 - 2. Calculate the remainder when z + -1 + 1 + 4 is divided by w.
12
Suppose d - 3 = 0, 2*b = 36*d - 41*d - 657. Let h = 351 + b. What is the remainder when 32 is divided by h?
2
Let r(y) = 2*y**3 - 33*y**2 + 15*y + 18. Let t be r(16). Suppose 0 = 4*w, 250 = 3*o + t*o + 3*w. What is the remainder when o is divided by 11?
6
Suppose -9213 = -33*x - 3174. What is the remainder when x is divided by -1 - -1 - 92/(-4)?
22
Let s be 2/(-6) - 32/(-6). Suppose -2*h - 2*x + 194 = 2*x, 4*h - s*x = 388. Suppose 16*j - 639 - h = 0. What is the remainder when 89 is divided by j?
43
Suppose -5*t = -n + 97, -6*n + n + 401 = 3*t. Calculate the remainder when (-12)/(-21) + 21474/126 is divided by n.
7
Suppose -16 = 4*n, 2*t + 115*n - 116*n - 22 = 0. Let g be 8 - 0 - (-2 - -4). Let r = g - -4. Calculate the remainder when r is divided by t.
1
Suppose 3*w = -4*f + 580, 0 = 3*f + 9*w - 8*w - 435. Suppose -f*p - 378 = -148*p. Calculate the remainder when p is divided by 45.
36
Let q = 82 + -50. Let m(j) = 2*j**2 + 2*j - 10. Let y(k) = k**2 + 3*k - 12. Let p(w) = 2*m(w) - 3*y(w). Calculate the remainder when q is divided by p(3).
2
Let y = 667 - 414. Let v = y + -248. Calculate the remainder when 52 is divided by v.
2
Calculate the remainder when (1 + 1535)*-5*(-2)/6 + -6 is divided by 9.
7
Suppose 177*w - 248*w + 9514 = 0. What is the remainder when 463 is divided by w?
61
Let i = -91 - -107. Let l be ((-840)/i)/(3/(-18)). Suppose 5*w + 2*v = 4*v + 330, -l = -5*w - v. What is the remainder when w is divided by 22?
20
Suppose 254*h + 212*h - 1930613 = 17428891. Calculate the remainder when h is divided by 5.
4
Let n be (32/(-5))/(5/25). Let k be 1/(-6)*-3*n. Let m = 24 - k. What is the remainder when 77 is divided by m?
37
What is the remainder when 313 is divided by (94 - 9) + -10*-1*24/(-30)?
5
Let o(x) be the first derivative of -3*x**2/2 - 57*x - 14. Calculate the remainder when o(-36) is divided by 12.
3
Suppose -22*x - 828 + 8066 = 0. Suppose 3*h - 410 + x = 0. What is the remainder when 124 is divided by h?
16
Suppose 33*u - 56*u + 1564 = 0. Calculate the remainder when 815 is divided by u.
67
Let f = 947 + -891. What is the remainder when (5 - (-39)/(-7))/((-4)/f) is divided by 6?
2
Let c = -70775 - -70777. Suppose 20 = 4*k, 5*l = 2*k + 2*k + 165. What is the remainder when l is divided by c?
1
Suppose 3*h - 405 = 2*c, 5*h - 4*c + 120 = 789. Calculate the remainder when 898 is divided by h.
52
Let c(o) = -o**2 - 26*o - 48. Let k be c(-24). Suppose 0 = -k*i + 3*i. Suppose i = -36*d + 33*d + 90. What is the remainder when 119 is divided by d?
29
Let p = 7 + 54. Let t = 586 + -569. What is the remainder when p is divided by t?
10
Let b = -2 + 2. Suppose b = f - 119 + 27. Suppose 254*y - 253*y - 16 = 3*h, 3*y + h = 58. What is the remainder when f is divided by y?
16
Suppose -10302 - 2106 - 2628 = -28*f. Calculate the remainder when f is divided by 6.
3
Let t(y) = -y**3 - 9*y**2 - 15*y + 17. Let a be t(-8). Let g = a + -55. Let o(r) = -r**2 - 14*r - 6. Calculate the remainder when o(-10) is divided by g.
16
Let t = 66 - -85. Suppose 386*y + 272 + 1983 = 441*y. Calculate the remainder when t is divided by y.
28
Let t = -17227 - -21192. Calculate the remainder when t is divided by 8.
5
Suppose -4*o - 9*s = -11*s - 88, 0 = -4*o - 2*s + 64. What is the remainder when 558 is divided by o?
7
Suppose 22*h = -38*h + 5040. Suppose 3*w = 2*m + 38, -19*m - 10 = -21*m. Calculate the remainder when h is divided by w.
4
Suppose 32 + 32 = 4*h + 4*i, 0 = 4*h - 5*i - 46. Let g be (-160)/6*(-81)/18. Let w = 170 - g. What is the remainder when w is divided by h?
8
Suppose 3*q + 87 = -3*m, m = -4*q - 0 - 101. Let u(z) = -z**3 - 12*z**2 + 222*z + 77. Calculate the remainder when u(-22) is divided by (-424)/q + (-2)/(-6).
15
Let p = 0 + 74. Let w = p - 72. Calculate the remainder when 24 is divided by (w - (-3 + 3))*30/12.
4
Let b = 69 + -68. Let r(f) = 8*f**3 + 3*f**2 - 2*f. Let t be r(b). Suppose -t*x + 306 = -756. What is the remainder when x is divided by 20?
18
Let s = 13 - 8. Suppose 0 = 4*b + s*t - 711, -9*b + 3*t = -6*b - 540. Calculate the remainder when b is divided by 29.
5
Let n(a) = -a + 2. Let i be n(-8). Let s(c) = 24*c - 215. What is the remainder when 62 is divided by s(i)?
12
Suppose 0 = -4*i - 2*t + 4, 0 - 19 = -5*i + t. Suppose 9 = 3*y, -4*y + 54 + 43 = 5*d. What is the remainder when ((-429)/26)/(i/(-12) + 0) is divided by d?
15
Let q be (2 + -2 - -1) + -1. Suppose -5*h + q*h + 5 = 0. Calculate the remainder when (1 + -3)*(-30)/h is