v) = -21*n(v) + 4*q(v). Suppose -8*i + 220 = -3*i. What is the remainder when i is divided by a(-4)?
8
Suppose -5*b = -3*j - 518, 2*b + 3*b + 4*j = 511. What is the remainder when b is divided by (1095/584)/(1/8)?
13
Let c(m) = m**3 + 11*m**2 - 13*m - 9. Let x be c(-12). Suppose -4*l + n = 1 - 8, -9 = -x*l - 3*n. What is the remainder when 8 is divided by l?
0
Let a = 0 - -3. Suppose -5*h = -q + 40, -a*h + 0*h = 3*q - 102. Suppose 2*t = 16 + 8. Calculate the remainder when q is divided by t.
11
Suppose -k - 134 = -2*o, -k + 4*o = -3*k - 244. Calculate the remainder when 25 is divided by k/(-9) - 2/9.
11
Suppose 5*m - 2*n - 31 + 11 = 0, -28 = -3*m - 2*n. Calculate the remainder when 59 is divided by m.
5
Let g(d) = 500*d**2 + 2*d - 4. What is the remainder when g(-1) is divided by 55?
54
Let x(t) = -321*t + 56. What is the remainder when x(-2) is divided by 20?
18
Let v(s) = -s**3 - 3*s**2 - 7*s - 8. What is the remainder when v(-4) is divided by 20?
16
Let h(s) = -2*s + 2. Let n(c) = 3*c + 0*c - c - c. Let i(b) = h(b) + 3*n(b). Calculate the remainder when 36 is divided by i(8).
6
Let g = 836 - 790. Let l(r) = r**3 - 8*r**2 + 9*r + 2. What is the remainder when g is divided by l(7)?
14
What is the remainder when 16344/(-16)*(-2)/3 is divided by 18?
15
Suppose 1122 = x + 5*j, 5*x - 6*j = -10*j + 5673. Calculate the remainder when x is divided by 38.
35
Let l be ((-1 - 2) + 36/10)*5. Suppose l*h = -3*p + 6, 5*p + 5*h - 6 = 4*p. What is the remainder when 4 is divided by p?
0
Let h = 210 + -103. Calculate the remainder when h is divided by 84.
23
Suppose -17*y + 18*y = 10. Suppose -27 = -11*l + y*l. Suppose o = -2*o - r + 48, -4*o - 4*r = -72. Calculate the remainder when l is divided by o.
12
Suppose 2*i + 1078 = 2*p, 2*i + 429 = 3*p - 1186. Calculate the remainder when p is divided by 20.
17
Suppose -2*c = s - 1361, 102*s = 5*c + 106*s - 3395. What is the remainder when c is divided by 36?
35
Let p(k) = 3*k - 2. Let d be p(-1). Let b = d - -20. Suppose -3*t - 12 = -b. What is the remainder when 3 is divided by t?
0
Suppose -11*s - 7 + 73 = 0. What is the remainder when 50 is divided by s?
2
Let f(r) = -14*r + 60. Let d be f(10). What is the remainder when 7 is divided by ((-6)/4*-2)/((-60)/d)?
3
Suppose -4*d + 3*d = -6. Suppose -t + d = 2. Calculate the remainder when (-22)/(t*4/(-40)) is divided by 19.
17
Let l(g) = g**3 + 23*g**2 + 39*g - 45. What is the remainder when 68 is divided by l(-21)?
14
Let s = 22 - 19. Suppose s*n = 97 + 44. Calculate the remainder when n is divided by 10.
7
Suppose 0 = 4*v + 4*l - 384, -3*v + 102 = l - 180. What is the remainder when v is divided by 47?
46
Let a(f) = 8*f - 34. Let r = -7 + 15. Calculate the remainder when a(r) is divided by 11.
8
Let i = 8 - -22. Suppose 2*s = -a - 3*a + 1424, -2*s = -8. Suppose -a = -3*k - 0*k. What is the remainder when k is divided by i?
28
Suppose -17 = 3*t - 2. Let b = 4 - t. Suppose -i = -4*g + 43 + 16, 3*g - 47 = -2*i. Calculate the remainder when g is divided by b.
6
Let h(k) = 2*k**3 - 10*k**2 - 11*k - 6. Let x be h(6). Suppose 10*w - 370 = -x*w. What is the remainder when w is divided by (-2*1)/(2/(-19))?
18
Suppose -6*m = -3*m - 21. Suppose -118 = -m*f + 99. Let d = -7 - -15. Calculate the remainder when f is divided by d.
7
Let q = -429 + 724. Let h = -147 + q. What is the remainder when h is divided by 19?
15
Let h(l) = l**3 - 6*l**2 - l - 1. Let o be h(7). Let u = -37 + o. Suppose -r + 5 = -2*x, 17 = 2*r - 3*x + 6*x. What is the remainder when r is divided by u?
3
Suppose -5*h + 1602 = 4*z + 370, -z = 4*h - 979. Calculate the remainder when h is divided by 19.
16
Let n = 282 - 259. Let f(t) = -4*t**3 - 5*t**2 - t + 2. What is the remainder when f(-3) is divided by n?
22
Let l(b) = 2*b**2 - 12*b + 8. Let p be l(8). Calculate the remainder when 126 is divided by (-2 - p/(-12))*24.
30
Let y be (30 - 0)*(-6)/(-15). Let a = -2 - y. What is the remainder when (-296)/(-30) + a/(-105) is divided by 4?
2
Suppose 2*m - 22 = -40*y + 43*y, 5*y + 50 = 5*m. Calculate the remainder when 144 is divided by m.
0
Suppose -38 = -4*c + 4*d - 3*d, -10 = 5*d. Suppose -c*w + 7*w + 12 = 0. Suppose -a - 2*a + 78 = 0. Calculate the remainder when a is divided by w.
2
Let d be 2 - -1*(-1)/(-1). Let r = d + -7. Let c = 51 - r. What is the remainder when c is divided by 29?
26
Suppose 0 = 8*r - 24*r + 736. Calculate the remainder when 180 is divided by r.
42
Let t = 34 + -18. Suppose -x + 126 - 41 = 2*d, 0 = -4*d + 3*x + 195. What is the remainder when d is divided by t?
13
Suppose 3*w = -5*i + 376, 0 = -20*w + 24*w - 4*i - 512. Calculate the remainder when w is divided by 65.
62
Suppose 7*g - 9 = 103. Calculate the remainder when 40 is divided by g - (-4 - 6)/(-5).
12
Suppose 5*d - 23 - 107 = 0. What is the remainder when 163 is divided by d?
7
Suppose 0 = -6*f + 7*f - 4. Calculate the remainder when 34 is divided by ((-7)/((-70)/24))/(f/10).
4
Let i(t) = 9*t + 28. Calculate the remainder when 305 is divided by i(0).
25
Suppose 5*g + 4*m = 12, -2*g + 0 - 2 = 5*m. What is the remainder when (-275)/(-15) + (-2)/6 is divided by g?
2
Let l(z) = 9*z - 195. What is the remainder when l(27) is divided by 33?
15
Let x(p) be the third derivative of -p**4/3 - 5*p**3/6 + p**2. Calculate the remainder when 29 is divided by x(-2).
7
Let s(o) = -12*o - 1. Suppose 2*n + 9 = -3*v + 2, -5*n = -2*v - 30. What is the remainder when s(v) is divided by 15?
14
Suppose -64 = -2*w - 2*w. Suppose 208 + 107 = 7*k. Calculate the remainder when k is divided by w.
13
Let k = -915 + 938. Calculate the remainder when k is divided by 9.
5
Suppose i - 92 = -a + 96, 0 = -3*i. Let z = 204 - a. Calculate the remainder when 8/6*(-186)/(-4) is divided by z.
14
Let b(u) = u**3 + 12*u**2 - 17*u - 22. What is the remainder when b(-13) is divided by 24?
6
Let a(n) = -58*n - 85. What is the remainder when a(-7) is divided by 36?
33
Calculate the remainder when 109 is divided by 28/4 + 22 + -15.
11
Suppose -20 = -9*q + 25. Suppose -1 = 4*x - q. Let g = 2 - 1. Calculate the remainder when x is divided by g.
0
Let a = 41 + -41. Let b(o) = o + 1. Let s be b(3). Let m = s + a. Calculate the remainder when 7 is divided by m.
3
Let x = 238 - 163. Suppose 7*z = 37 + x. What is the remainder when 63 is divided by z?
15
Suppose -16*h + 28*h = 300. What is the remainder when 43 is divided by h?
18
Suppose -2*t - a + 6 = 0, 2*a = -4*t + 6*a + 36. Suppose -t*g + 134 = -276. Calculate the remainder when g is divided by 29.
24
Let g = -52 - -60. Suppose i = -z - 0*i + 13, -20 = 5*i. Calculate the remainder when (-7 + -1)*(-50)/g is divided by z.
16
Suppose -53*a - 1882 = -16033. What is the remainder when a is divided by 71?
54
Let z(p) = p - 26 + 26 - 22*p**2. Let u be z(-1). Let w = u - -38. Calculate the remainder when 42 is divided by w.
12
Let r = 144 - 82. Suppose 0 = 2*i - 4*v - 70, 0*i - 2*i + 2*v + r = 0. What is the remainder when 51 is divided by i?
24
Suppose -43 = 2*d - 11. Suppose 20 = -114*n + 115*n. Let q = d + n. What is the remainder when 11 is divided by q?
3
Let g = -44 - -85. Suppose 16*w + 58 = 282. What is the remainder when g is divided by w?
13
Suppose 0 = -f - 1 + 4. Let c(i) = i**3 + 7*i**2 + 4*i - 11. Let s be c(-6). Suppose -4*b + s = -f. Calculate the remainder when 3 is divided by b.
0
Let z be 4 + -3 + 2 + 153. Suppose 2*b = z - 50. Let s(c) = -2*c**2 - 17*c + 19. What is the remainder when b is divided by s(-8)?
26
Let c = 107 + -65. Suppose -2*p + 17 - 101 = -4*b, -c = -2*b + 2*p. What is the remainder when 83 is divided by b?
20
Let t = 1 + 1. Suppose -2*r + 0*s + 54 = t*s, -5*s = -3*r + 65. Let l(o) = o**3 - 2*o**2 - 2. Calculate the remainder when r is divided by l(3).
4
Suppose -271 = -4*l - 59. What is the remainder when 207 is divided by l?
48
Suppose -24*k + k = -5497. What is the remainder when k is divided by 20?
19
Let j(x) = 4*x - 5. Let t(k) = -19*k + 24. Let m(n) = -11*j(n) - 2*t(n). Calculate the remainder when m(-5) is divided by 20.
17
What is the remainder when 261 is divided by (-378)/63 - (3 - 2 - 98)?
79
Suppose -58 = -4*u + 14. Suppose 2*j - 4*j + 4*a = -u, -2*j = -3*a - 22. Let c(k) = k**2 + 6*k - 5. What is the remainder when c(5) is divided by j?
16
Let s(p) = 4*p**2 + 112*p + 894. Calculat