ive of -3*r**5/20 + r**4/12 + 5*r**3/2 + 13*r**2/2 - 39*r - 2. What is the remainder when o(-5) is divided by 68?
66
Suppose 15*n + 5*q + 79 = 17*n, 0 = -4*q + 12. Calculate the remainder when ((-18)/(-4))/((-9)/(-372)) is divided by n.
45
Let v = 1306 - 1220. Let k(x) = -6*x + 5. Let o be k(-4). Let s = v + o. What is the remainder when s is divided by 30?
25
Suppose -5*m - j - 636 = 1747, 461 = -m + 5*j. Let n = m - -499. What is the remainder when 243 is divided by n?
13
Suppose 3 - 85 = -n + 3*j, -3*j = -9. Let s(y) = -3*y - 1. Suppose 0*q - 3*q - 24 = 0. What is the remainder when n is divided by s(q)?
22
Let m(n) = -3*n**2 - 43*n + 3. Let w = 43 - 57. What is the remainder when 46 is divided by m(w)?
12
What is the remainder when 1774 is divided by (287 - (-18)/(-4)*28/(-21)) + 2?
4
Let u = -341 + 358. Suppose 0 = 4*c + x - 89, 0 = 21*c - 22*c - 2*x + u. Calculate the remainder when 135 is divided by c.
20
Let d(w) = -11*w + 34. Let r be d(4). Calculate the remainder when 22 is divided by (r/(-3))/((-27)/(-81)).
2
Suppose 169*t = 161*t + 624. Calculate the remainder when 9514 is divided by t.
76
Suppose 0 = -3*l + m + 25, 5*l = l + 5*m + 15. Calculate the remainder when (6 + (-48)/54*6)*(110 + 4) is divided by l.
6
Let r(g) = g. Let w(x) = 15*x - 9. Let s(y) = -22*r(y) + 2*w(y). Let i be s(2). What is the remainder when (-2 - (1 + i))/((-9)/54) is divided by 2?
0
Let o be 2 - (-3)/(4 + -6 + 3). Suppose -113 = o*r - 413. What is the remainder when r is divided by 872/36 - 4*(-2)/(-36)?
12
Suppose 1881*v + 101 = 1894*v - 185. Calculate the remainder when 1932 is divided by v.
18
Let u(j) = -4*j + 9. Let m(x) = x. Let i(h) = 4*h + 4. Let s(k) = -i(k) + 6*m(k). Let n(t) = -5*s(t) - 2*u(t). What is the remainder when n(0) is divided by 1?
0
Let k = -49 - -41. Suppose 2*z + 3*a = 7*a - 40, -3*a = 5*z + 61. What is the remainder when -2*(-4)/k*z is divided by 3?
2
Let k = 101 + -85. Suppose -5*i + 123 = 2*t, 2*t - 1 = i + 104. Suppose 53*d = t*d - 45. What is the remainder when d is divided by k?
13
Let g = -764 + 1941. What is the remainder when g is divided by 15?
7
Suppose -1 = 2*w - 9. Suppose -w*b - 8 = 0, 5*z - 4*z - 13 = b. Suppose -m + 24 = 2*a - 8, -4*a + 64 = m. Calculate the remainder when a is divided by z.
5
Let f(c) = 2*c**2 - 14*c + 14. Let v be f(6). Let h be 27/v*28/21. Let k = h + 1. What is the remainder when 68 is divided by k?
11
Let m(r) be the first derivative of 5*r**4/4 - 2*r**3/3 - 3*r**2 - r - 49. Let g(i) = -10*i + 3. Calculate the remainder when m(3) is divided by g(-3).
32
Let i = -114 + 224. Suppose 460*r - 32160 = -210*r. Calculate the remainder when i is divided by r.
14
Let d(l) = 7*l**2 - 53*l - 23. Let h be d(15). Suppose -22*w + 2363 = h. What is the remainder when w is divided by 16?
9
Let j = 715 + -278. Let q = j + -431. Suppose t - 4 = 12. Calculate the remainder when t is divided by q.
4
Suppose 17*w - 12155 = -2312. Let u = 619 - w. What is the remainder when u is divided by 10?
0
Let l(a) = -2*a**3 - 56*a**2 - 2*a - 20. Calculate the remainder when 553 is divided by l(-28).
13
Let z(t) = t**2 - 9*t - 8. Let p = 17 + -18. Let l be (-1)/(p/(-1))*(-7)/(-1). What is the remainder when z(l) is divided by 54?
50
Suppose 0 = -157*d + 313*d - 157*d + 147. What is the remainder when 360 is divided by d?
66
Let x(y) = 14*y - 41 - 5*y**3 + 18*y + y**3 - 15*y**2 - 9*y + 3*y**3. Calculate the remainder when x(-18) is divided by 10.
7
Suppose 1 = -j - 42. Let f = j - -154. Let z = -49 + 65. What is the remainder when f is divided by z?
15
Let x be (-4 - -1)/((-7296)/(-1461) + -5). Suppose -x + 88 = -21*k. What is the remainder when (282/4)/3*4 is divided by k?
18
Suppose -t + 377 - 384 = 0, w = 2*t + 33. What is the remainder when w is divided by 5?
4
Let p = 0 - -2. Let a = 2785 - 1971. Suppose -11*l = 26*l - a. Calculate the remainder when l is divided by p.
0
Let v be 0/1 + (6 - -1). Suppose -2*i = v - 35. Calculate the remainder when i is divided by (-48)/8 - 4 - -14.
2
Let k = -41 - -78. Let s = 72 - k. What is the remainder when s is divided by 35?
0
Let q(m) = 8*m**3 + 2*m**2 + m. Let a be q(-2). Suppose -2644*s + 1215 = -2635*s. Let j = s + a. What is the remainder when j is divided by 41?
36
Let q = -82 - -160. Suppose s + 8 + 1 = k, s = -4. Calculate the remainder when q is divided by (k*3)/(75/100).
18
Calculate the remainder when 5924 is divided by (-148 + -10)/((-28)/42).
236
Let i(u) = -16*u**2 - 23*u - 62. Let g be i(-4). Let w = g + 375. Calculate the remainder when w is divided by 25.
24
Suppose -22*u - 171 = -4461. What is the remainder when u is divided by 23?
11
Suppose 5*t - 4*x - 218 = 15, 0 = -3*t - 5*x + 162. Suppose 5 = 3*f - t. Calculate the remainder when f is divided by 5.
3
Suppose -176 = -4*s - 4*d, 0 = 3*s + 5*d - 68 - 72. Suppose -11*l = -7*l - s. Calculate the remainder when 23 is divided by l.
3
Let z(m) = -3*m - 7. Suppose -231*f + 2860 = 781. What is the remainder when z(-7) is divided by f?
5
Suppose 22352 = 97*p + 73*p + 6*p. What is the remainder when p is divided by 68?
59
Let d(n) = -7*n**2 - 151*n + 30. What is the remainder when d(-16) is divided by 132?
126
Suppose -1937 - 263 = -40*x. Suppose -4*h + 0*h = -76. What is the remainder when x is divided by h?
17
Suppose 0*b + b = 43. Suppose -81 = -16*i + 7*i. What is the remainder when b is divided by i?
7
Let d be ((-1 - 33) + -2)*(-16)/6. Suppose d = 4*t + 2*p, 5*t - 3*p = 7*t - 52. Let v = t - 9. Calculate the remainder when 109 is divided by v.
11
Suppose 24298 + 10102 = 688*f. Suppose -8 = -2*u + 4*t, -3*u - 2*t = 6 + 6. Let a(p) = -2*p**3 + p**2 - 2. What is the remainder when f is divided by a(u)?
14
Let u(a) = a**2 + 8*a + 10. Let q(z) = z**3 - 13*z**2 - 2*z + 30. Let v be q(13). Let i(k) = 17*k - 19. What is the remainder when i(v) is divided by u(-8)?
9
Let c = -172 - -22. Let j = -66 - c. What is the remainder when j is divided by 22?
18
Suppose 5*u - 1520 = 2*q, u - 23*q = -26*q + 321. What is the remainder when u is divided by 97?
15
Let t(h) = 2*h + 64. Let f be t(-7). Suppose -408 = -f*k + 46*k. What is the remainder when k is divided by 28?
18
Let b(d) = d**3 + 2*d**2 - 15*d - 5. Let c(u) = u**3 + 3*u**2 + 5*u + 11. Let z be c(-3). Calculate the remainder when b(z) is divided by 12.
11
Let v be -2*10/4 - 504/(-72). Let q(t) = 20*t**3 + 2*t**2 + 3*t - 8. Calculate the remainder when q(v) is divided by 56.
54
Suppose 3*g + 0*g - 2 = -4*n, -2*g = n - 3. Suppose -307 = 3*u - 601. Calculate the remainder when u is divided by 25 - n - (-4 - -5).
23
What is the remainder when 119 is divided by 109 + -6 + 0/6?
16
Let r(w) = -2*w - 13. Suppose 9*p + 21 + 60 = 0. Let h be r(p). Suppose -67 = -h*q + 3. Calculate the remainder when 25 is divided by q.
11
Let x = -1778 + 1841. Calculate the remainder when x is divided by -4*36/(-8) - 0.
9
Let z = 4728 + -3821. Calculate the remainder when z is divided by 227.
226
Let d be 44 - 3/(-6)*-10. Suppose -27*y = -d*y + 588. What is the remainder when 193 is divided by y?
46
Suppose 3*h = 15 + 483. Suppose 94*u - 1384 - 4402 = -522. What is the remainder when h is divided by u?
54
Let b = -7769 + 8902. Calculate the remainder when b is divided by 179.
59
Suppose -y + 115 = -68. Calculate the remainder when y is divided by -3 + (-75)/(-45) - (-572)/6.
89
Let z = 63 - 58. Suppose -59 + z = -3*d. Suppose -5*h + 292 = 4*p, 3*h + 56 = -2*p + 3*p. What is the remainder when p is divided by d?
14
Suppose 67*z - 14550 = 2*z + 29845. What is the remainder when z is divided by 114?
113
Let v(b) = -7*b**2 + 31*b - 14. Let l be v(4). Let a(t) = 2*t + 2 - 6*t**3 + 1 - 1. What is the remainder when a(l) is divided by 13?
7
Let j(z) = 12*z - 4. Suppose 15 = 3*q + 2*q. What is the remainder when (-1389)/(-15) + 0 + 6/15 is divided by j(q)?
29
Suppose -3*o - 4*r + 8*r = -96, r = 5*o - 160. Let s = o - 25. Let b(a) = 2*a**2 - a - 2. Calculate the remainder when b(3) is divided by s.
6
Suppose 5*t - 4*v - 1266 = 0, 0 = -4*t + 682*v - 683*v + 1038. What is the remainder when 823 is divided by t?
49
Suppose -5*d + 218 = 3*s, -1341*s = -1344*s + 2*d + 148. Calculate the remainder when 4/3*(-2004)/(-8) is divided by s.
54
Suppose b - 24 = -2*b. Let n(g) = -9*g + 25. Let i be n(3). Let q = 22 - i. 