(k) = -k - 7. Let i be v(-10). Suppose 3*c + 14 + 82 = i*h, 2*h - 3*c = 63. What is the remainder when h is divided by 12?
9
Let y = 1048 - 933. Calculate the remainder when 916 is divided by y.
111
Let u = 76 - 73. Suppose v + 3*v + 4*n = -4, v = -3*n - 1. Calculate the remainder when u is divided by v/(15/9 + -2).
0
Suppose 5*j + 2*c = 7, -5 = -4*j - 2*c + 1. What is the remainder when 83 is divided by j/4 + 1541/92?
15
Let k(i) = -11*i - 2. Let v = 32 - 32. Suppose 3*n + 4 - 37 = v. What is the remainder when k(-4) is divided by n?
9
Let k(n) = n**3 - 17*n**2 - 2. Let a be k(17). Calculate the remainder when (-8)/(-22 + a)*(308 + 1) is divided by 21.
19
Suppose 0 = i - 4*v - 2 - 64, i - 57 = -5*v. What is the remainder when i is divided by 52*((-5)/(-4) - 1)?
10
Suppose 11*f = -5*g + 15*f + 150, 2*g - 27 = -5*f. Suppose -3*c + 3 = -3*z, 3*c - 31 = -3*z - z. Calculate the remainder when g is divided by z.
2
Suppose 3*y + 0*y + 15 = 0. Let i be (-1)/((-1)/y + 0). Let t(n) = n**3 + 4*n**2 - 5*n + 6. What is the remainder when 10 is divided by t(i)?
4
Let b(j) = -j**2 + 7*j. Let y be (12/30)/((-1)/25). Calculate the remainder when (-6 - y) + 0 + 23 is divided by b(5).
7
Let t(o) = 4*o**2 + 15*o - 207. What is the remainder when t(12) is divided by 79?
75
Let p = -473 - -652. Calculate the remainder when p is divided by 45.
44
What is the remainder when (-2)/(-6)*2 + 2328/18 is divided by 44?
42
Suppose 0 = -4*n - 0*n + 4. Let j(l) = -16 - n - 13*l + 2 - l**2. Calculate the remainder when 25 is divided by j(-11).
4
Suppose 0 = -5*p + 186 + 614. What is the remainder when p is divided by 33?
28
Let g(p) = -4*p**2 + 3*p**2 - p**2 - 4*p**3 - p. Let j be g(-1). Let a = j + 40. Calculate the remainder when a is divided by 9.
7
Suppose -3*f + 111 = -3*m, 2*m + 72 = 4*f - 86. Suppose 0 = -2*u + 20 + f. What is the remainder when u is divided by 9?
4
Let n be 26 + (-3)/(9/(-12)). Suppose 2*y + 4*z - n = 0, 0*y - 57 = -4*y - 5*z. What is the remainder when y is divided by 8?
5
Let n = 15 - -177. Suppose 11*d = 14*d - n. Calculate the remainder when d is divided by 22.
20
Suppose -j + 5*y = -22, -21*j - 5*y = -20*j - 22. Calculate the remainder when 91 is divided by j.
3
Suppose -3*u + 51 = -3*p, 0*u - 4*u - 5*p = -95. Let h = -13 + 39. Suppose -3*o = -3*l - 2*o + h, -2*o - 17 = -l. What is the remainder when u is divided by l?
6
Suppose -372*l - 77 = -379*l. Calculate the remainder when 56 is divided by l.
1
Let u(n) = n**3 - 21*n**2 - 4*n + 104. Suppose 15 = 5*k - 20. Calculate the remainder when u(21) is divided by k.
6
Suppose 45*o - 42*o - 51 = 0. What is the remainder when 93 is divided by o?
8
Let c(q) = -q**3 - 2*q**2 + 9*q + 16. Let m be c(-4). Let w = m + 14. What is the remainder when 126 is divided by w?
22
Let s(l) = -l + 7. Let r be s(-3). Suppose 0 = 5*k - 0*k - r. Suppose a + 23 = 3*i, -3*i - 3*a + 1 = -k. What is the remainder when 17 is divided by i?
5
Suppose 492 - 432 = 2*i. What is the remainder when i is divided by 8?
6
Let w(f) = 12*f - 364. What is the remainder when w(51) is divided by 85?
78
Suppose 0 = j + 3*j - 4. Let y = -4 - j. What is the remainder when (-266)/y + (-8)/40 is divided by 18?
17
Let w = -27 + 55. Let k = w - -4. What is the remainder when 127 is divided by k?
31
Suppose -308*n + 282*n + 910 = 0. What is the remainder when 88 is divided by n?
18
Let a(w) = w**3 + 10*w**2 - 12*w - 5. Calculate the remainder when (-1 + 0 + 0)*-16 is divided by a(-11).
4
What is the remainder when 5*(4/(-3) + (-992)/(-15)) is divided by 48?
36
Suppose -5*w + 25 = 0, -3*z = w + 2*w - 63. Calculate the remainder when 2 is divided by (-4)/z - 36/(-16).
0
What is the remainder when ((-28)/26)/(-7) - 4011/(-39) is divided by 26?
25
Suppose 6*f = 8*f - 60. Let q = 1 + 0. Suppose v + 3*s - 6 = q, 4*v - 49 = -5*s. What is the remainder when f is divided by v?
14
Let y = 698 - 631. Calculate the remainder when 265 is divided by y.
64
Suppose 4*p + 3*b - 165 = 0, -3*p + 4*b = 6*b - 123. Calculate the remainder when 71 is divided by p.
32
Suppose -3*k = k - 12. Suppose 0 = z + k, 4*z - z - 3 = -a. Calculate the remainder when -10 + (10 - (-63 - -6)) is divided by a.
9
Let u = 30 + -17. Suppose -3*d = 3*w - 6*w, -4*w - 10 = d. Calculate the remainder when (-184)/32*(-2 + w) is divided by u.
10
Suppose 0*b + 220 = 11*b. Let v = b + 13. What is the remainder when v is divided by 17?
16
Suppose x - 5*t = 87, 5*x = -4*t + 358 - 68. What is the remainder when x is divided by 19?
5
Suppose 0 = -11*l + 437 + 355. What is the remainder when 239 is divided by l?
23
What is the remainder when ((-24)/20)/(1/(95/(-2))) is divided by 8?
1
Let x(t) = -t**2 + 17*t - 15. Let i be x(14). Suppose -3*q = -3 - i. Calculate the remainder when 38 is divided by q.
8
Suppose 3*a = 4*u - 30 + 10, 2*a = 5*u - 25. Suppose u*z + 6 - 21 = 0. What is the remainder when 4 is divided by z?
1
Let p(b) = 2*b**3 + 14*b**2 + 16*b + 9. Calculate the remainder when 100 is divided by p(-5).
13
Let u(j) = -j**3 - 2*j**2 - j + 4. Let a be u(-2). Suppose -4*n + 0*n = 12, r = -5*n + a. Calculate the remainder when 82 is divided by r.
19
Suppose 0 = -6*m + 488 - 50. Let g = 23 - -14. Let q = g + -12. What is the remainder when m is divided by q?
23
Suppose 6*y = 14*y + 208. What is the remainder when (-28)/(-6)*(-195)/y is divided by 9?
8
Let o(a) = -47*a - 3. Let d be o(-1). Suppose 0 = -4*t - 7*t + d. Calculate the remainder when 67 is divided by t.
3
Let s = 406 - 332. What is the remainder when s is divided by 40?
34
Let n be (-2 + 1)*(-1 + 1). Suppose 0 = 2*c - 68 - n. What is the remainder when c is divided by (36/8 + -4)/(9/216)?
10
Let a be (1/1)/((-1)/(-4)). Let z be 2/((-8)/a)*-59. Let q = z - 40. Calculate the remainder when 54 is divided by q.
16
Let w = 21 - 17. Suppose 0 = -3*i + 3, -w*s + s - i + 10 = 0. Suppose s*n - 136 = -n. What is the remainder when n is divided by 9?
7
Suppose -4*z - 5*s + 181 = 0, -201*s + 251 = 5*z - 203*s. What is the remainder when 220 is divided by z?
24
Let u(s) = -3*s + 1. Let x(w) = 2*w**2 + w - 5. Let y(c) = -3*c**2 - 2*c + 6. Let p(j) = -4*x(j) - 3*y(j). What is the remainder when p(6) is divided by u(-4)?
11
Suppose 26*o - 1486 = 516. Calculate the remainder when o is divided by (-1 + 31/5)*5.
25
Suppose 3*w = 2*f + 4 - 5, -5*f + w = -22. What is the remainder when 10 is divided by f?
0
Let n(d) = -6*d + 42. Let b be n(17). Let v = b - -92. What is the remainder when v is divided by (-2)/5 - (-174)/10?
15
Let r(m) = 15*m + 4. Let x be r(8). Let a = 175 - x. Suppose -11*g = -206 - 80. What is the remainder when a is divided by g?
25
Let g = -36 - -14. Let c = 28 - g. Suppose -y = -5*y + 52. What is the remainder when c is divided by y?
11
Suppose v = -2*i + 5, -228*i = -v - 232*i + 3. Let f = 55 - 32. Calculate the remainder when f is divided by v.
2
Let o(r) = -4*r**3 + r + r**2 - r - 2. Suppose 5*k - 10 = 5*g, g + 6 + 4 = -3*k. What is the remainder when 99 is divided by o(k)?
31
Let n(u) = -u**3 + 15*u**2 + 5. Let y be n(15). Suppose 0 = -5*g - j + 313, y*j + 53 = g + 2*j. What is the remainder when g is divided by 8?
6
Let w(c) = c**3 - 8*c**2 - 7*c + 4. What is the remainder when 42 is divided by w(9)?
20
Let f be (0 - -3 - 1) + 0. Suppose -6*t + f*t = -8. Suppose 0 = -2*h - 2*x + 16, t*x + 3*x = 3*h - 32. What is the remainder when 26 is divided by h?
8
Let g(z) = -19*z - 37. What is the remainder when g(-6) is divided by 16?
13
Suppose 0 = 5*s + 9 - 19. Suppose 5*o - z = 10, -2*o + z + s - 1 = 0. Calculate the remainder when 14 is divided by o.
2
Suppose 5*a + 6*j = 11*j + 370, 5*a - 380 = 3*j. Calculate the remainder when 231 is divided by a.
73
Let o(u) = u + 5. Let p be o(1). Suppose 0 = -2*l + 24 + p. What is the remainder when 29 is divided by l?
14
Calculate the remainder when 94 is divided by (-1)/3 + ((-640)/(-30) - -4).
19
Let h = -76 - -180. What is the remainder when h is divided by (4 - 7)*9*-1?
23
Let g = -1509 - -1525. Calculate the remainder when 202 is divided by g.
10
Suppose -49 = -4*m + 3*u + 19, -4*u = 0. Suppose -197 = -3*c + 4*k, 1 + 2 = 3*k. Calculate the remainder when c is divided by m.
16
Suppose -o + 3*c - 4*c + 13 = 0, o + 2*c = 11. Suppose 171 + 96 = -2*p + 3*n, 5*n + 410 = -3*p. Let u = p + 193. Wh