 3*f - 4*z - 149 = n, 8 = -4*z. Calculate the remainder when f is divided by 12.
11
Let i = -800 - -861. Let r(f) = -14*f + 26. Calculate the remainder when r(-11) is divided by i.
58
Let l = -4577 + 5453. Calculate the remainder when l is divided by 431.
14
Let l(r) = 23*r**2 + 82*r - 227. What is the remainder when 2033 is divided by l(3)?
225
Suppose c - 642 = -3*k - 77, 3*k - 530 = 4*c. Calculate the remainder when k is divided by 29.
12
Suppose 0 = -248*q + 265*q - 4981. What is the remainder when 895 is divided by q?
16
Suppose 3*f + 619 = 2*m + 754, 2*m = -5*f - 143. Let u be -2 + (74 - 0/1). Let j = u + m. Calculate the remainder when 3 is divided by j.
0
Let x = -48 - -53. Suppose 0 = -2*w + 15 - x. Suppose -u + 14 = 1. What is the remainder when u is divided by w?
3
Let d(w) = -w**3 - 52*w**2 + 107*w + 122. Calculate the remainder when d(-54) is divided by 27.
14
Suppose -q + 2*l - 6 = -l, 0 = 5*q - 4*l - 25. Let k be 38 - (-3 - (-6)/1). Suppose 2*r - r = k. Calculate the remainder when r is divided by q.
8
Suppose 4*l + 0*l - 2880 = 3*r, 3611 = 5*l - r. What is the remainder when l is divided by 29?
27
Suppose 0 = 3*p - 5*g - 62925, -p - 373*g + 20962 = -379*g. Calculate the remainder when p is divided by 78.
76
Suppose 240 = v + 5*n, 3*n - 6*n + 240 = v. Calculate the remainder when (v/(-28))/(4/(-28)) is divided by 4.
0
Let t(w) be the first derivative of w**4/4 + 7*w**3/3 - 13*w**2 - 22*w - 239. Calculate the remainder when 89 is divided by t(-9).
39
Let z(l) = 2*l**2 - 8*l + 107. Suppose 0 = -3*f + 195. What is the remainder when z(14) is divided by f?
62
Suppose -g = g - 22. Let h(p) = 694*p + 15978. What is the remainder when h(-23) is divided by g?
5
Suppose 3*m + a - 1328 = -m, m - 4*a = 332. What is the remainder when 570 is divided by (-1)/(-8) + 40/256*m?
50
Let k(n) = 106*n - 2383. What is the remainder when 80 is divided by k(23)?
25
Suppose 4*w - 660*b + 661*b = 35662, -w - 2*b + 8912 = 0. What is the remainder when w is divided by 14?
12
Let h = -2460 - -2848. What is the remainder when h is divided by 126?
10
Calculate the remainder when 543 is divided by (1/2)/(-1)*(-588730)/565.
22
Suppose 2*f + 280 = 13*f - 3*f. Suppose -4*l + 0*l = -3*a + 12, -4 = -a. Suppose -60 = -3*v - l*v. What is the remainder when f is divided by v?
15
Let a = -202 + 226. Calculate the remainder when 41 is divided by 1/2 - (-84)/a.
1
Suppose -3*g + 4*c = -32, 4*c = 3 - 23. Let i(a) = 51*a - 69. What is the remainder when i(g) is divided by 35?
30
Let u(c) be the third derivative of c**5/60 + c**4/24 + c**3/6 - 2*c**2 + 1. What is the remainder when u(-7) is divided by 12?
7
Suppose 6*t - 13*t - 1290 = -22*t. What is the remainder when 91 is divided by t?
5
Let m(c) = -2*c**2 - 99*c + 1709. Calculate the remainder when 952 is divided by m(-62).
157
Suppose -26*x + 12491 = -873. Calculate the remainder when x is divided by 4.
2
Let j = 28692 + -28684. What is the remainder when 51 is divided by j?
3
Let k be 707/14*(-2)/(-1). Suppose -3*b + k = -2*b. Let i = -64 + b. Calculate the remainder when 110 is divided by i.
36
Suppose 9984*g = 9989*g - 20005. Calculate the remainder when g is divided by 365.
351
Let s be (8 - 24/3)/5. Let x(t) = 2*t - 7. Let m be x(5). Suppose -5*q + v + 30 = 0, s = -m*q + 2*v + 15 + 10. What is the remainder when 19 is divided by q?
4
Suppose 6*f = 327 + 1149. Suppose -31*x - f = -37*x. Calculate the remainder when 147 is divided by x.
24
Let p(y) be the first derivative of -y**4/4 - 16*y**3/3 - 16*y**2 - 11*y - 9. Calculate the remainder when 131 is divided by p(-14).
41
Suppose 949 - 244 = 181*a - 176*a. Calculate the remainder when a is divided by 62.
17
Let s(o) = 3*o**2 - 463*o + 1389. Calculate the remainder when 103 is divided by s(3).
22
Let t be 2/(-6) + 465/(-9). Let b = t - 43. Let x = -92 - b. Calculate the remainder when 20 is divided by x.
2
Suppose 4*f = -t + 95, -2*t - 2*f - 76 + 278 = 0. Suppose 0 = 2*q + 34 + 2. What is the remainder when t is divided by q/6 - (0 - 24)?
19
Let j(i) = i**2 - 3*i - 41 + 20*i + 49 - i**3. What is the remainder when 534 is divided by j(-4)?
14
What is the remainder when 110 is divided by (259/(-74))/(4/(-40))?
5
Let g = 5446 + -5310. Calculate the remainder when 392 is divided by g.
120
Suppose -4*r = 0, 5*r = -h + 85 - 10. Suppose -3*k - 4*m - 22 = -3*m, 30 = -5*k + 5*m. Calculate the remainder when h is divided by 274/14 - (-4)/k.
18
Suppose -12*g + 694 + 1756 - 422 = 0. What is the remainder when 251 is divided by g?
82
Suppose -63*s + 43083 + 31634 + 13042 = 0. Calculate the remainder when s is divided by 41.
40
Suppose -4*j - 196 = 3*j. Let t = -28 - j. What is the remainder when (276/(4 - t))/1 is divided by 24?
21
Suppose 654 = 48*p + 65 - 227. What is the remainder when 900 is divided by p?
16
Let m be 1/3 + (-611)/(-39). Let s = m + -2. What is the remainder when s is divided by 3?
2
Let m(z) = -2*z**3 - 89*z**2 - 47*z - 105. Calculate the remainder when m(-44) is divided by 5.
2
Let p(o) = 31*o - 11. Suppose 0 = 1120*m - 1137*m + 1258. Calculate the remainder when p(5) is divided by m.
70
Suppose -3*k - 10 = -2*a, -4*a + 9*a = -5*k. Suppose m = a*s - 4*s + 10, 47 = 4*m + s. What is the remainder when 237 is divided by m?
9
Let c = 187 - 145. Calculate the remainder when 60 + (c/6 - 1) is divided by 17.
15
Suppose 4*p - 2*u = 318, 0 = -25*p + 20*p - 2*u + 402. Calculate the remainder when 1675 is divided by p.
75
Suppose -2*h + 0*w + 4*w = 0, w = -4*h. Let c be 33 - 5 - (-1 + h). Suppose -5*m = -4*s + 150, s = -4*m + m + c. What is the remainder when 207 is divided by s?
32
What is the remainder when 1016 is divided by 8/14*238/2*4?
200
Let y be 19/(418/4) - (-4)/(-22). Suppose 4*j - n = -y*n + 256, -4*n + 16 = 0. Calculate the remainder when j is divided by 17.
14
Let n(u) = 9*u**2 - 26*u + 35. What is the remainder when 1423 is divided by n(4)?
73
Let q = -126 - -128. What is the remainder when 62 is divided by (q + (-5)/25)*5?
8
Let w(s) = 61*s**2 + s - 2. Let p = 10888 - 10847. Calculate the remainder when w(2) is divided by p.
39
Suppose 16*y - 6717 = 1971. Calculate the remainder when y is divided by (-5 - (0 + -4)) + 17.
15
Let g = -5602 + -4606. What is the remainder when 4/6 - g/33 is divided by 79?
73
Suppose -210 = -19*r + 37*r - 33*r. Calculate the remainder when 373 is divided by r.
9
Suppose 2*t - 14*y = -15*y + 1482, -2*t = -3*y - 1474. Calculate the remainder when t is divided by 15.
5
Let c = 75 + -70. Let v be 0 + 2 + 0 - -22. Suppose t = -5*q + 55, -13 = -q + c*t + v. What is the remainder when 35 is divided by q?
11
Let s be (0/(-3*(-6)/(-9)))/(-1). Let t = 28 + s. Let i = t + -16. Calculate the remainder when 34 is divided by i.
10
Suppose 0*d + 2016 = 7*d. Let r = d + -247. Let c(s) = 4*s**2 + 4*s - 1. Calculate the remainder when r is divided by c(-3).
18
Suppose 3*a - 47 = 211. Let h(b) = 3*b**3 + 6*b + 3. Let k be h(-2). Let u = k - -55. What is the remainder when a is divided by u?
20
Suppose 7*o - 1715 = 2156. Let w = o + -335. What is the remainder when w is divided by 56?
50
Let c(l) = 18*l + 163. Let n be c(-7). Suppose 62 = 11*i - n. What is the remainder when i is divided by 4?
1
Let y(f) = 2*f**2 + 112*f + 919. Calculate the remainder when 12263 is divided by y(-9).
72
Let b(w) = 127*w + 1167. Calculate the remainder when b(-8) is divided by 31.
27
Let b(s) = -s**3 + 6*s**2 + 23*s + 38. What is the remainder when 18 is divided by b(9)?
0
Calculate the remainder when 596 is divided by 13 + 77/(-11) + 10.
4
Let i be (-2)/(-1) - (7 + -10). Suppose -151 - 153 = -4*a. Calculate the remainder when a is divided by (i + (-4)/6)*3.
11
Suppose 50*s = 184 + 566. Suppose -4*h = 3*x + x, 0 = 4*h - 4*x - 40. Suppose h*w - 38 = 252. What is the remainder when w is divided by s?
13
Suppose 3*w - 88 - 14 = 0. Let k = -1507 + 1525. Calculate the remainder when w is divided by k.
16
Let k(v) = -104 + 150 - v**2 + 16*v - 73. Calculate the remainder when 37 is divided by k(12).
16
Let s(k) = -2*k**3 - 41*k**2 - 138*k. What is the remainder when 2105 is divided by s(-4)?
17
Let l(y) = -2*y - 1. Let r = -22395 - -22536. What is the remainder when r is divided by l(-6)?
9
Suppose 4*c + 16 = 0, -6*y - 32 = -5*c - 1132. What is the remainder when 1