hen y is divided by v?
8
Suppose 2*x - 504 = -312. What is the remainder when x is divided by 9?
6
Let c = -920 + 947. What is the remainder when 808 is divided by c?
25
Let u = 24 + 6. Let a = u + -20. Let f = -6 + 12. What is the remainder when a is divided by f?
4
Let u(j) = -j**3 - 5*j**2 - 6*j + 4. Suppose -q + 12 = 2*q. Suppose -q*t + i + 41 = -4*i, 0 = 5*t + i - 44. What is the remainder when t is divided by u(-3)?
1
Let t(b) = b**3 - 3*b**2 - 57*b + 5. Calculate the remainder when 201 is divided by t(-6).
17
Suppose c + 4*k - 7*k = 46, -54 = -c - k. Suppose 0 = 4*r - 2*q - 52, 6*r + 5*q - 80 = r. Calculate the remainder when c is divided by r.
10
Suppose -462 = -5*k - t + 212, 4*k = -4*t + 536. Suppose 1228 = 17*i + 446. Calculate the remainder when k is divided by i.
43
Let v be 2*1/1 - 8. Let c be v/(-15) + (-312)/(-20). Suppose 5*f = 3*k + 11, -3*k - 4*f = -9 - c. Calculate the remainder when 8 is divided by k.
2
Let a = 23 + -23. Suppose y - 4*t = 4, -y - 4*y - 2*t + 20 = a. Suppose -16 + 44 = 4*v. What is the remainder when v is divided by y?
3
Let i be (1 + 0)/(3/9). Suppose i*j - 7 = 5. Let u = -86 - -96. Calculate the remainder when u is divided by j.
2
Let v be (-18)/27 - 112/3. Let r = -23 - v. What is the remainder when 40 is divided by r?
10
Suppose q - 712 = -3*q - 5*b, -3*b = 12. What is the remainder when q is divided by 24?
15
Suppose 0 = -25*d + 2093 + 132. What is the remainder when 707 is divided by d?
84
Suppose -4*k + 9 = 5*t - 25, 3 = t - 3*k. Suppose -86 = -t*o - 8. What is the remainder when 63 is divided by o?
11
Suppose 1391 = 12*q + 527. What is the remainder when 932 is divided by q?
68
Suppose 4*p + 4*m - 48 = 0, -4*m + 0 = 2*p - 32. Suppose 2 = 2*h - p. Let q(k) = 7*k - 11. What is the remainder when q(5) is divided by h?
4
Let w be 0/(-6) - (-1 + 3). Calculate the remainder when (7 + 50)*w/(-6) is divided by 5.
4
Suppose 0 = -4*o + 32 + 16. Let h = 653 - 558. What is the remainder when h is divided by o?
11
Suppose -4*z = -z - 12, -4*t + 5*z = -184. What is the remainder when 304 is divided by t?
49
Let t = 68 + -48. Let l(k) = 5*k**2 - k + 1. Calculate the remainder when l(4) is divided by t.
17
Suppose -15 = 3*g, 5*l - 2*g = 3*g + 2195. Calculate the remainder when l is divided by 63.
56
Let v = 385 + -362. Calculate the remainder when 81 is divided by v.
12
Suppose 5*h - 9 - 31 = 0. Suppose h - 28 = 5*a. Calculate the remainder when 89 is divided by 210/28*a/(-1).
29
Suppose -5*o + 0*o + 1340 = 0. Calculate the remainder when o is divided by 69.
61
Let w = 20 - 16. Suppose -4*m = -4*h - 128, -2*m - w*h = -m - 17. What is the remainder when m is divided by 8?
5
Let c be 12*(42/(-8) + 0). What is the remainder when (c/5)/(1/(-5)) is divided by (-488)/(-22) - 4/22?
19
Suppose 0 = -5*z + 5, -z + 52 = 3*m - 27. Calculate the remainder when 101 is divided by m.
23
Let t(d) = d**2 + 21*d + 140. What is the remainder when t(-7) is divided by 2?
0
Let c = 8 - 4. Let o(q) = -32*q + 5. What is the remainder when o(-2) is divided by 212/18 - c/(-18)?
9
Let u(d) = -d**3 - 23*d**2 - 24*d - 41. What is the remainder when 9 is divided by u(-22)?
0
Suppose 13*i - 3 = 62. Suppose 5*b - 24 = c, c - 8 + 0 = -3*b. Calculate the remainder when (-9)/(2 + c - -1) is divided by i.
4
Let f(i) = i**2 - 6*i + 19. Let h(g) = g**2 + 7*g - 9. Let j be h(-9). What is the remainder when f(j) is divided by 17?
12
Suppose 4*b - 141 = -81. Calculate the remainder when (-23 + 22)/((-1)/71) is divided by b.
11
Let t = 233 + 184. Calculate the remainder when t is divided by 21.
18
Let c(x) = 6*x**3 + 2*x**2 - 6*x + 11. Calculate the remainder when c(5) is divided by 9.
7
Suppose 0 = 4*r - 2*k - 40, -5*r - 3*k = -r - 30. What is the remainder when 32 is divided by r?
5
Suppose 0 = 3*v + m - 4*m - 6, -5*m + 46 = 3*v. Suppose -36 = -3*f + 3*l, -10*f + 50 = -v*f + 4*l. What is the remainder when f is divided by 4?
2
Let m(c) = -c**2 + 8*c - 5. Let r be m(-4). Let q = -52 - r. What is the remainder when 2 is divided by q?
0
Suppose -35*p + 8867 + 5028 = 0. Calculate the remainder when p is divided by 105.
82
Suppose 3 = -4*d - 1. Let u = 6 - d. Let h = -15 + 19. Calculate the remainder when u is divided by h.
3
Let p = 185 + -109. What is the remainder when p is divided by (-1 + -1 - (8 - 5)) + (-1496)/(-34)?
37
Suppose i - 32 + 13 = 0. Suppose 0 = 4*t - 5*t + 26. Let v = i + t. Calculate the remainder when v is divided by 12.
9
Let v(z) = -3*z - 15. Let j be v(-6). Suppose 0 = -j*f + y + 110 + 131, f = -2*y + 85. What is the remainder when f is divided by 12?
9
Let n = -69 - -158. What is the remainder when n is divided by 45?
44
Calculate the remainder when 482 is divided by 96 + (-8 - -7 - -4).
86
Suppose 0 = -f - 0*g - 2*g + 12, 2*f - 3*g - 45 = 0. Let y = 594 - 561. Calculate the remainder when y is divided by (3/(-2))/((-3)/f).
6
Suppose -13*z = -9*z - 64. Suppose -3*w + 51 = -87. Calculate the remainder when w is divided by z.
14
Suppose 0 = 4*h - 1 - 7. Let i(k) = 3*k**3 - k**2 - 4*k + 5. Let n(x) = x**2 - 4*x - 13. Calculate the remainder when n(9) is divided by i(h).
15
Let s(v) = -v**3 - 11*v**2 - 33*v - 49. Calculate the remainder when 262 is divided by s(-8).
9
Suppose 0 = -45*i + 38*i + 924. What is the remainder when i is divided by 70?
62
Let q(z) = z**3 - 3*z**2 - 7*z. Let d(l) = 0*l + 0*l - 2*l. What is the remainder when q(5) is divided by d(-3)?
3
Suppose -30 = -3*d + 18. What is the remainder when 28 is divided by d?
12
Let p = -286 + 428. Calculate the remainder when p is divided by 24.
22
Let o = 27 - 19. Suppose -44 = -o*g + 4*g. What is the remainder when 85 is divided by g?
8
Suppose f = 6 + 2. Suppose 2*i + 3*j - f = 13, 0 = 3*j - 3. Suppose i*d = 4*d + 20. Calculate the remainder when 11 is divided by d.
3
Suppose -5*o = -o - 180. Let z be 5408/60 - 6/o. Suppose -2*k + z = 3*k. What is the remainder when k is divided by 10?
8
Let k(u) = 5*u - 8. Let m be k(2). Suppose m*z + 3*c - 4 = 11, -2*z = c - 21. What is the remainder when 46 is divided by z?
10
Calculate the remainder when 70 is divided by -2*1/(-11) + 6698/187.
34
What is the remainder when -1*(-9)/12*(615 + -11) is divided by 19?
16
Let u(f) = -f - 2 - f - 1. Let j(s) = 3*s + 3. Let b(c) = 3*j(c) + 2*u(c). What is the remainder when b(6) is divided by 13?
7
Suppose -14*k + 4275 = k. Suppose -9*h + k = 33. Calculate the remainder when h is divided by 6.
4
Suppose 5*v = 68 - 78. Calculate the remainder when 32 is divided by (1 - 1) + 7 - v.
5
Let d = 71 + -14. Let t be (-2)/(-3) - 96/(-18). Suppose 2*k - 21 = 3*m - t, 3*k - 20 = 5*m. Calculate the remainder when d is divided by k.
12
Calculate the remainder when 109 is divided by (-18 - (-935)/20) + 1/4.
22
Suppose -64*s = -61*s - 36. Suppose -3*q + 1 + 136 = -2*y, -3*y = 12. Calculate the remainder when q is divided by s.
7
Suppose 174 = 2*k + 18. What is the remainder when k is divided by 33?
12
Let o(i) = -i**3 + 9*i**2 - 8*i - 6. Let b(p) = 6*p**2 - 2*p + 3. Let a be b(1). Calculate the remainder when (5 - 2/1)*23 is divided by o(a).
33
Suppose 5*i = -n - 3568, 0 = -5*n + 14 - 4. Let d = 22 + -7. What is the remainder when (-2)/4 + i/(-12) is divided by d?
14
Suppose 135 = 8*m - 3*m. Let p = -4 + m. What is the remainder when p is divided by 5?
3
Let z = 201 + -171. Calculate the remainder when 156 is divided by z.
6
Let p be 369/(-21) + (-3)/7. Let i = p + 20. Suppose -5*f + 82 = -i*d, 21 = -0*f + f - 5*d. Calculate the remainder when 47 is divided by f.
15
Suppose 3*l + 8 = 11. Suppose 4*g + m - l = 0, m + 6 = 3. Calculate the remainder when 62 is divided by 108/9 - (-2 + g).
10
Let d = -5 - -3. Suppose 5*o = 7*o - 10. What is the remainder when d + 6/(-3) + 13 is divided by o?
4
Let v = 8 + -5. Suppose 0 = 2*o - 4 - 2. Suppose -6*g + 2*g - o*k = -39, 0 = 5*g - 3*k - 42. What is the remainder when g is divided by v?
0
Suppose -394 = -3*h - i, -3*h + 2*h + 126 = 3*i. Calculate the remainder when h is divided by 19.
18
Let o(n) = 3*n**3 - 15*n**2 + 24*n - 20. Calculate the remainder when o(6) is divided by 47.
44
Suppose 3*y + 199 = 2*r + 2*y, -5*y = 4*r - 405. Suppose l + 3*l - 104 = 0. Calculate the remainder when r is divided by l.
22
Let g(f) be the third derivative of f**5/3 - f**4/6 - 2*f**3/3 - 