remainder when j is divided by x(-31)?
18
Suppose 0 = 52*z + 148 - 2103 - 1893. Calculate the remainder when 8878 is divided by z.
72
Suppose -3*f - 5*l + 309 = f, f + 5*l - 81 = 0. What is the remainder when f is divided by ((-7)/((-70)/(-470)))/(-1)?
29
Let b(h) = -3*h**3 + 30*h**2 - h + 30. What is the remainder when (-2 + 48)/(1/2) is divided by b(10)?
12
Let v be 2 - -1 - -9*(3 + 3). Let w = v - 55. Suppose 0 = -w*i + 3*i - 14. Calculate the remainder when 83 is divided by i.
13
Suppose 3*m + 152 + 40 = 0. Let y = m - -110. Suppose 3*l = o + 267, o - 48 - 45 = -l. What is the remainder when l is divided by y?
44
Let k(v) = -v**3 - 8*v**2 + 14*v + 10. Let y be k(-9). Let c be (-4)/(-3 - (-175)/60). Let x = c + y. What is the remainder when x is divided by 5?
3
Let d(x) = -x**2 + 21*x - 62. What is the remainder when d(11) is divided by (-568)/(-20) - 4/10?
20
Suppose 658*x - 737*x = -12719. What is the remainder when x is divided by (-52)/(-6) + (-2)/(-6)?
8
Suppose 4*g - 9*g = 2*s - 2199, 5*s - 5463 = -g. Calculate the remainder when -1 + -2 + 384/3 is divided by s/(-117)*(-18)/4.
41
Let s be -4*((-39)/26)/(3/5). Suppose 0 = 5*c + 3*y - 330, -3*c - 15*y + 198 = -s*y. What is the remainder when 183 is divided by c?
51
Suppose 4*j = -3*c + 2965, 1212*j + 10 = 1210*j. What is the remainder when c is divided by 72?
59
Let w = 2109 - 1123. What is the remainder when w is divided by 39?
11
Let k(u) = u**3 - u**2 + 1. Let d be k(2). Suppose -5*a + 240 = -d*l, 4*l - 5*a + 105 = 2*l. Let v = l + 63. Calculate the remainder when v is divided by 7.
4
Let y(g) = -g + 27. Let o(u) = u**2 + 7*u + 5. Let z be o(-4). What is the remainder when 237 is divided by y(z)?
33
Let x(a) = 2*a**2 - 203*a + 490. What is the remainder when x(110) is divided by 25?
10
Suppose 7*m = -90 - 71. Let h(z) = z**2 + 20*z - 20. What is the remainder when 194 is divided by h(m)?
47
Let m(d) = 7*d**2 - 24*d + 46. Calculate the remainder when 2362 is divided by m(2).
22
Suppose u + 2*y + 735 = 0, 4*y = 4*u + 1987 + 905. Let c = 742 + u. Calculate the remainder when 943 is divided by c.
13
Let k = 362 + -328. Suppose 0 = -0*c + 3*c - 6. Suppose 0 = -4*v - 3*i - c + 74, 3*i = -v + 18. What is the remainder when k is divided by v?
16
Let g(s) = -s**2 + 140. Let x be g(0). Let v = x + -207. Let h = -29 - v. What is the remainder when h is divided by 10?
8
Let c = -1628 + 1741. Let n(h) = h**3 + 7. What is the remainder when c is divided by n(3)?
11
Let n(r) = r**3 + 16*r**2 - 30*r - 73. Calculate the remainder when n(-12) is divided by 24.
23
Suppose -7*s + 129 = 4*g, 78 = 4*g - 4*s - 106. Calculate the remainder when 161 is divided by g.
38
Suppose -20*q - 10*q + 6*q + 8448 = 0. What is the remainder when q is divided by 35?
2
Let k(a) = 18*a**2 - 465*a + 2760. Calculate the remainder when k(6) is divided by 212.
194
Suppose -7*u = -2*k - 11*u + 2732, -5452 = -4*k + 4*u. What is the remainder when k is divided by 76?
72
Suppose -p = 4*p - 110. Suppose 70*a - 36*a = -14*a + 4944. Calculate the remainder when a is divided by p.
15
Let d = -233984 + 233998. Calculate the remainder when (120/28)/((-1)/(-7)) is divided by d.
2
Let i(w) = 2*w + 39. Let f be i(-18). Let v be 1/9*f + 17/3. Suppose -2*o = -2*s - 308, -770 = o - v*o - 5*s. Calculate the remainder when o is divided by 39.
37
Let u(x) = -3*x**3 + 2*x**2 + 4*x**3 - 2*x + 2*x**2. Let y(m) = -24*m**3 + 100*m**2 - 9*m + 17. Calculate the remainder when y(4) is divided by u(-4).
5
Suppose -5024 + 19820 = 54*u. What is the remainder when u is divided by 180?
94
Let p be (-1 - 0)*(0 - 0). Suppose 8*m - 1023 - 1489 = p. Suppose -2*z - 3*g = -54 - m, -z + 184 = -5*g. Calculate the remainder when z is divided by 17.
14
Let v = -64 + 68. What is the remainder when 540/6 + (16/v - 3) is divided by 48?
43
Let m = -4787 + 4792. What is the remainder when 2129 is divided by m?
4
Suppose -2*r - 3*o + 27 = 0, -r = -0*r - 4*o - 41. Let n(z) = -z**3 + 21*z**2 - 2*z + 121. Calculate the remainder when 232 is divided by n(r).
74
Let i(q) = -2*q**2 - 8*q - 70. Let l be i(13). Let j = -452 - l. Calculate the remainder when 293 is divided by j.
53
Let x = 6012 - -2249. What is the remainder when x is divided by 54?
53
Let r = -12727 + 12759. Calculate the remainder when 519 is divided by r.
7
Calculate the remainder when 1988 is divided by -3 + 3 + -24 + 48.
20
Suppose 0 = o - 3*r - 138, 3*o - r = -3*r + 392. Let h(z) = -2*z**3 + z**2 + 26*z + 30. Calculate the remainder when o is divided by h(-3).
12
Let k = -350 - -529. What is the remainder when 1059 is divided by k?
164
Suppose i - 12*r + 10*r - 4468 = 0, 0 = -5*i - 5*r + 22280. What is the remainder when i is divided by 12?
8
Suppose 0 = 438*u - 443*u + 5365. Calculate the remainder when u is divided by 54.
47
Suppose 12*m = 54*m - 48258. What is the remainder when m is divided by 17?
10
Suppose 122*m + 1683 - 3084 - 2259 = 0. Calculate the remainder when 4/(-2)*1 - -601 is divided by m.
29
Let z = 2878 - 2831. What is the remainder when 509 is divided by z?
39
Let b(m) = 40*m - 347. What is the remainder when b(46) is divided by 115?
113
Suppose 4*t - 108 - 28 = 0. Suppose 0 = -5*o + t + 121. Let j = -1024 - -1032. Calculate the remainder when o is divided by j.
7
Suppose 0 = 4*f - f + 9. Suppose 8*i + 9*i - 204 = 0. Let c = i + f. Calculate the remainder when 44 is divided by c.
8
Suppose 0 = x - 40*j + 45*j - 22365, 22325 = x - 5*j. Calculate the remainder when x is divided by 37.
34
Let r = -1251 - -1335. Suppose 216 = 7*q - 85. Calculate the remainder when r is divided by q.
41
Let n = 17496 - 16640. What is the remainder when n is divided by 165?
31
Let h be 0 + (3 + -2 - 2). Calculate the remainder when 89 is divided by (61 - 31) + (-1 - h).
29
Let r be -3*(112/(-12) + 4). What is the remainder when 129 is divided by 29 + (8 - r) - (-1 + 5)?
10
Let c(i) = 45*i**2 + 3*i - 2. Suppose 3*b - 5 = -f, -12 = -3*f + 6*f. What is the remainder when c(b) is divided by 18?
16
Let l = -1671 - -2693. What is the remainder when l is divided by 69?
56
Let f = 4263 - 4208. What is the remainder when 726 is divided by f?
11
Let b = -6216 - -6234. Let f = 115 + -48. Calculate the remainder when f is divided by b.
13
Suppose 164*o = 158*o + 2364. What is the remainder when o is divided by 194?
6
Suppose p + 4*p = 4*r - 983, p = 5. Calculate the remainder when r is divided by 34.
14
Let m(i) = i**2 - 9*i - 14. Let b be m(10). Let r = 11 - b. Suppose 86 = n + n. What is the remainder when n is divided by r?
13
Let s(l) = 191*l - 15. Let v(o) = -64*o + 5. Let k(g) = 3*s(g) + 8*v(g). Calculate the remainder when k(2) is divided by ((12/(-12))/((-1)/17))/1.
15
Suppose -4*n = n - 1035. Suppose -9*r + n = -0*r. Let b = -9 + 22. Calculate the remainder when r is divided by b.
10
Suppose 31*h - 3726 = -38*h. What is the remainder when 1995 is divided by h?
51
Let b(k) = k**3 + 8*k**2 + 2*k - 5. Suppose 2*v + 2842 = 4*z - 846, 0 = 2*v. Let w = 943 - z. What is the remainder when b(-5) is divided by w?
18
Suppose 5*t - 8 - 7 = l, 3*l - 7 = 2*t. Suppose u - t*n - 66 = 0, -u + 118 = u - n. Let j = 16 - -14. Calculate the remainder when u is divided by j.
28
Let v(w) = -45*w + 1. Suppose -5*d + 0*c = 2*c + 9, -4*d = -2*c + 18. Calculate the remainder when v(d) is divided by 25 + ((-24)/4 - -1) + 3.
21
Let i = 23350 + -23169. Calculate the remainder when 582 is divided by i.
39
Let n = 5371 + -5367. Calculate the remainder when 305 is divided by n.
1
Suppose 3*i - 104 + 20 = b, 5*i - 123 = -4*b. Let z = 46 - 40. Calculate the remainder when i is divided by z.
3
Let z(p) = -12*p - 52. Let m be z(-5). Suppose 0*i + 4*i = -x - m, 20 = 4*x + 3*i. What is the remainder when 59 is divided by x?
3
Suppose 0 = -1089*r + 1202*r - 105316. What is the remainder when 952 is divided by r?
20
Suppose 29*h + 173 = 32*h + 59. What is the remainder when 135 is divided by h?
21
Suppose b + 2 + 77 = -4*c, 4*b = -4*c - 316. Let h = b - -134. Calculate the remainder when h is divided by 28.
27
Let w(h) = -2*h**3 + 16*h**2 - 2*h + 102. Calculate the remainder when 302 is divided by w(8).
44
Let a = -94001 - -94590. Suppose 4*t - 3*t - 10 = 0. What is the remainder when a is divided by t?
9
Let q be (-4 + -331)*4/10. Let t = 210 + q. Wha