
Let p(g) = g**2 + 5*g - 39. Let k be p(-9). Calculate the remainder when 88 is divided by 12 + (-1 - 2)*3/k.
13
Suppose 84*j = 79*j + 760. Calculate the remainder when j is divided by 52.
48
Suppose 16*r - 196 = -164. What is the remainder when 35/4 + 3/12 is divided by r?
1
Let i(w) = -3*w - 59. What is the remainder when i(-52) is divided by 64?
33
Suppose 36 - 191 = -5*g + 3*t, 0 = g + 5*t - 59. Let d = 209 - 75. What is the remainder when d is divided by g?
32
Suppose 4*a - 30 = -6*a. Let q(s) = -s**3 - 5*s**2 - 3*s. Let m be q(-5). Let u = m + a. What is the remainder when u is divided by 7?
4
Let n(h) = 2*h + 3. Let q(z) = z**3 + z**2 - z + 5. Let m be q(0). Suppose -155*p + 3670 + 2065 = 0. Calculate the remainder when p is divided by n(m).
11
Let j = -1009 - -1143. Let s(x) = -9*x - 9. Calculate the remainder when j is divided by s(-6).
44
Let n(d) = 4*d**3 + 8*d**2 - 7*d - 6. Calculate the remainder when 11*2 + 4/(-2) is divided by n(-2).
4
Suppose 0 = 2*a - 5*m + 10*m - 112, -2*a = 2*m - 112. Calculate the remainder when a is divided by 22.
12
Suppose -2419 + 340 = -27*r. Calculate the remainder when 691 is divided by r.
75
Suppose -28*l + 2396 = 296. Calculate the remainder when l is divided by 43.
32
Suppose 7*q + 272 = 671. What is the remainder when 284 is divided by q?
56
Let t(h) = 4*h**2 + 29*h - 16. What is the remainder when 140 is divided by t(-9)?
46
Suppose 32*c = 104 + 3064. Calculate the remainder when c is divided by 2.
1
Suppose 3*u = 4*j + 32, j - 20 = -4*u + 3*u. Calculate the remainder when 46 + 2 + -3 + -3 is divided by u.
10
Let q(s) = -6*s + 91. Calculate the remainder when 122 is divided by q(11).
22
Let j(b) = b**3 - 32*b**2 - b + 43. What is the remainder when 194 is divided by j(32)?
7
Let z(u) = -1. Let m(n) = n**2 - 16*n - 4. Let c(f) = m(f) - 4*z(f). Suppose -j = 4*j - 100. What is the remainder when c(19) is divided by j?
17
Let k = -3 - -5. Let t(s) = 9*s**2 - 52*s - 53. Calculate the remainder when t(-1) is divided by k.
0
Suppose -x - 5*o = x - 40, 0 = x + 5*o - 15. Let g = -55 - -39. Let i = x - g. What is the remainder when i is divided by 21?
20
Suppose -17 + 2 = 3*d, -3*d - 105 = -5*h. Let l be -3*(-8)/(-12) + 361. Calculate the remainder when l/7 + (-16)/56 is divided by h.
15
Let y(p) = p. Suppose 5*x + 63 = -w, 3*x = -2*w + 7*w + 315. Let i = w - -89. Calculate the remainder when i is divided by y(9).
8
Let w = -21 + 39. Suppose r + b = 13, -3*r - 36 = -6*r - 2*b. Calculate the remainder when w is divided by r.
8
Let j(f) = -7*f**2 - 169*f + 55. What is the remainder when j(-22) is divided by 192?
1
Let v(b) = 79*b**2 - b - 1. Let i be -1 - 1 - 22/(-22). Calculate the remainder when v(i) is divided by 16.
15
Let x(p) be the first derivative of -25*p**2/2 + 8*p + 9. Let a = -48 - -69. Calculate the remainder when x(-3) is divided by a.
20
Let j = -471 + 483. Calculate the remainder when 130 is divided by j.
10
Let l = 14 + -11. Suppose -l*r + 13 + 2 = 0. Suppose -5*t + 181 = 2*x, 0 = r*t - 0*x + 4*x - 187. What is the remainder when t is divided by 9?
8
Let p(i) = 6*i + 1. Suppose 0*f + f = 4. Suppose -f*y + 0*y = -44. Calculate the remainder when p(5) is divided by y.
9
Suppose -57 + 1 = -8*d. What is the remainder when 54 is divided by d?
5
Let g(b) = 18*b**2 + 7*b - 9. Calculate the remainder when g(2) is divided by 21.
14
Let v = -56 - -55. What is the remainder when (v + (-12)/(-9))*39 is divided by 6?
1
Calculate the remainder when 34 is divided by (-58)/(-3) + (-7)/21.
15
Suppose -8*a - 100 + 252 = 0. Calculate the remainder when a is divided by 8.
3
Let o be (-3)/(27/(-21)) + (-8)/(-12). Let w(y) = 5*y + 1. What is the remainder when w(o) is divided by 10?
6
Let d = 486 - 455. Calculate the remainder when 58 is divided by d.
27
Suppose -230 = 22*b - 472. What is the remainder when 393 is divided by b?
8
Suppose 2*t = -116 + 354. Suppose -5*s - t - 91 = -5*o, -o + 33 = -4*s. Let i = 30 - 18. Calculate the remainder when o is divided by i.
9
Suppose 5*k + 0*k = 0. Suppose -2*q = -8 - k. Suppose -5 = -g, q*j + 5*g - 400 = g. What is the remainder when j is divided by 32?
31
Let d(j) = -j**2 - 17*j - 2. Let o(s) = -6*s - 1. Let g be o(1). Let m be d(g). Let u = -37 + m. What is the remainder when u is divided by 16?
15
Let q be (78 - (3 + 0)) + 3. Suppose 0 = -2*s - 5*p + 25 + 53, 2*s - q = 3*p. Let j = 26 - 12. Calculate the remainder when s is divided by j.
11
Suppose 110*n - 11*n = 6534. Calculate the remainder when n is divided by 10.
6
Let b = -180 + 276. Let r = b - -14. Suppose -3*u - 4*h = -r, 0 = -4*u + 2*u - 2*h + 74. Calculate the remainder when u is divided by 10.
8
Let y(w) = w**3 + 8*w**2 - w + 1. What is the remainder when 51 is divided by y(-8)?
6
Let p = 191 - 166. Let b(g) = -g + 30. Calculate the remainder when p is divided by b(13).
8
Let n(m) = 3*m**2 - m - 16. Let p be n(-7). Suppose -5*t + p = -17. Calculate the remainder when 123 is divided by t.
30
Calculate the remainder when (12/(-18)*84)/(-2) is divided by 27.
1
Let d = 3 + 0. Suppose 24 = 3*t + d. Let y(s) = 20*s - 98. What is the remainder when t is divided by y(5)?
1
Let l(h) = -8*h - 2. Let j be l(-17). Suppose 5*r - j = -5*g + 181, 5*r + 4*g - 317 = 0. What is the remainder when r is divided by 12?
5
Suppose 4*n = -282 + 754. Calculate the remainder when n is divided by 37.
7
Let r(a) = 2*a**2 - 26*a - 49. What is the remainder when 91 is divided by r(16)?
44
Let l = -72 + 97. Calculate the remainder when -4*l*1/(-4) is divided by (-14 - 0)*(-2)/4.
4
Let k = 3 - -1. Suppose 4*o = -2*f - 62 + 160, -k*f + 21 = o. Suppose 0 = 3*d + 2*d - o. Calculate the remainder when 18 is divided by d.
3
Suppose -h + 5*d = -59, 3*h + 79*d = 76*d + 87. What is the remainder when h is divided by 28?
6
Let j = -251 - -494. Suppose -5*p + 0*y + j = -3*y, -5*p + 275 = 5*y. What is the remainder when p is divided by 11?
7
Suppose 30*m - 69 = -4*n + 31*m, -2*n = 3*m - 31. Let k = -20 - 15. Let w = k - -67. What is the remainder when w is divided by n?
15
Let v(p) = 24*p + 9. Let y be v(-3). What is the remainder when 72 is divided by (-5)/(15/y) - 2?
15
Let c be 6/9*(0 - -9). What is the remainder when c/14 + (-1160)/(-70) is divided by 7?
3
Let x = 1 - -2. Suppose 12 = 4*g, -g - g + 46 = 5*a. What is the remainder when a is divided by x?
2
Let s(u) = 104*u - 141. Calculate the remainder when 253 is divided by s(2).
52
Suppose 0 = -5*g + 10 - 40. Calculate the remainder when 6 is divided by g/12 - 14/(-4).
0
Suppose -2*v + 2*g = -16, 0 = -5*v - 5*g - 0*g + 20. Suppose -v*w = -4*w - 62. Calculate the remainder when w is divided by 18.
13
Suppose 0 = -7*z - 335 + 2477. What is the remainder when z is divided by 14?
12
Let w = 12 + 4. Let v = 2231 - 2205. Calculate the remainder when v is divided by w.
10
Let g = 499 + -483. Calculate the remainder when 66 is divided by g.
2
Let c = 26 + -15. Suppose -390 = 65*b - 75*b. What is the remainder when b is divided by c?
6
Let q(j) = 5*j + 8. Let g(n) = 4*n**2 + 6 - 5*n**2 - 4 + 5*n + 4. Let x be g(5). What is the remainder when q(x) is divided by 13?
12
Let z be ((-6)/7)/(6/2142). Let j = -166 - z. What is the remainder when j is divided by 47?
46
Suppose 0*p - 54 = 6*p. Let m = p - -46. What is the remainder when m is divided by 10?
7
Suppose 71 = 7*n - 48. Let y(o) = 117*o**3. Calculate the remainder when y(1) is divided by n.
15
Suppose -60 = 3*a - 171. Let l = 52 - a. Let w = l + 6. What is the remainder when 60 is divided by w?
18
What is the remainder when 110 is divided by 84*(4 - 50/15)?
54
Let i(o) = -3*o - 4. Suppose -11 = 3*j - 0*u + u, 2*j + 14 = -2*u. Let n be i(j). Suppose -41 = -3*p - n. What is the remainder when 37 is divided by p?
11
Suppose -w + 2*z + 126 = 0, 3*w - z + 586 = 8*w. What is the remainder when w is divided by 61?
57
Suppose -3*w + 2*w = 5*s - 7, -4*s - 3*w - 1 = 0. Suppose 6*u = -s*u + 192. What is the remainder when 46 is divided by u?
22
Suppose 0 + 6 = -3*y, 3*w - 2*y = 7. Calculate the remainder when 31 is divided by -1*w - (-37 - -19).
14
Suppose 2*k = 3*k - 167. Suppose a = -2*g - 227, 4*g + 4*a + 137 + 311 = 0. Let f = g + k. What is the remainder when f is divided by 18?
16
Suppose 6 = -2*p + 5*p. Suppose j + p*j = -3. What is the remainder whe