ppose 3*n - 3*z + 9 = 0, 5*n + 0 = 3*z - 9. Suppose -2*y - g + 427 = n, -5*y + 788 = g - 278. Let r = 24 - 12. What is the remainder when y is divided by r?
9
Let m(o) = 1818*o**2 + 86*o + 87. Calculate the remainder when m(-1) is divided by 17.
0
Suppose -3*r = -9 + 3. Suppose c - 6*c + 50 = -r*l, -c - 3*l + 27 = 0. What is the remainder when 4*(25 + -6) + -6 is divided by c?
10
Suppose 0 = 5*i - 21*i + 23952. What is the remainder when (-15)/(-105) - i/(-7) is divided by 31?
28
Let n be (-8 + 7)/((-1)/79). Suppose 30 = 76*u - n*u. Let c = 73 - u. Calculate the remainder when c is divided by 14.
13
Suppose 2*z - 6*z - 1 = -w, 0 = 2*z + 6. Let x = w + 25. Let p(a) = -a + 36. Calculate the remainder when p(11) is divided by x.
11
Let s(c) = 59*c + 326. Let l(w) = -30*w - 163. Let y(q) = 13*l(q) + 6*s(q). Calculate the remainder when 156 is divided by y(-6).
50
What is the remainder when 36399 is divided by 572/66*(-63)/(-6)?
90
Let h be (-658)/(-98) + ((-48)/(-21) - 2). Calculate the remainder when 21 is divided by (-1 - 4) + 182/h.
0
Let f(l) = l**3 + 79*l**2 - 163*l + 113. Calculate the remainder when f(-81) is divided by 76.
42
Let t(b) = b**2 - b - 167. Let w be t(0). Let x = w + 359. Suppose 6*j - x = 138. What is the remainder when j is divided by 30?
25
Suppose -7776 - 10592 = -82*y. Calculate the remainder when 1112 is divided by y.
216
Let a(w) = -8*w**2 - 44*w + 148. Let x be a(3). Let b = 20 + 7. What is the remainder when (-105)/(-20)*x/(-3) is divided by b?
17
Let i be 66 - (6 + -3) - (2 + -2). Let p = i + -54. Suppose 2*j - 103 = -91. Calculate the remainder when p is divided by j.
3
Let v = -826 - -480. Let d = 604 + v. Calculate the remainder when d is divided by 33.
27
Let m = 8726 - 6768. What is the remainder when m is divided by 23?
3
Let c be 4/((-70)/(-21) - 2). Suppose 3*k = -4*n + 2*k + 357, -c*n - 3*k = -270. Calculate the remainder when n is divided by 30.
29
Let n(m) = 2*m - 10. Let g(k) = 1. Let y(s) = -44*g(s) - 4*n(s). Calculate the remainder when 56 - 1 - (-19 - -23) is divided by y(-2).
3
Let t(g) = -160*g**3 - g**2 + 3*g + 2. What is the remainder when t(-1) is divided by 7?
4
Suppose -i - 3*i + 20 = 0. Let s(h) = -h**3 + 5*h**2 - h + 5. Let f be s(i). Suppose 3*l - 10 - 23 = f. What is the remainder when 19 is divided by l?
8
Let c be 6 + -3*(-1)/3. Let l be 10690/(-35) + 3/c. Let z = l - -472. What is the remainder when z is divided by 42?
41
Suppose 3*v - 238 = -58. Suppose 0 = 27*q - 5*q - 11000. Let n = 516 - q. Calculate the remainder when v is divided by n.
12
Let x = -6 + 145. Let d = -23 + 43. Suppose -s = -8 - d. What is the remainder when x is divided by s?
27
Let p(z) = -4*z**3 + 35*z**2 + 10*z + 2. Let n be (-2)/3*999/(-74). Calculate the remainder when 94 is divided by p(n).
6
Suppose -339 = -6*t + 3*t. Suppose -q = 4*p - 19, 2*q - 4*p - t = -15. Calculate the remainder when 66 is divided by q.
27
Let g = -243 + 691. Suppose -n - 578 = -5*u, 2*u - g = -2*u - 4*n. Suppose -2*o + u = 3*o. Calculate the remainder when o is divided by 21.
2
Let s(f) = 3*f**3 - 6*f**2 + 33*f - 38. Let d = 0 + 7. Calculate the remainder when s(3) is divided by d.
4
Let g be 5*(-14)/28*(-6)/5. Suppose 0 = -g*w + 4*z + 7, -7*w = -2*w - z - 23. What is the remainder when 19 is divided by w?
4
Let b = -624 + 644. What is the remainder when (14/7)/(3 - (-290)/(-98)) is divided by b?
9
Calculate the remainder when 538 is divided by (12 + 689/26)*2.
76
Let b = -4 - -40. Let z = 7462 + -7249. What is the remainder when z is divided by b?
33
Suppose 0 = -0*o - 5*o + 175. Suppose 145*h = 147*h + 5*m + 31, -h + 2*m + 34 = 0. What is the remainder when o is divided by h?
11
Let k(h) = -2*h + 12. Let i be k(4). Suppose -g + 1 + i = 0. Let m = -28 + 29. Calculate the remainder when g is divided by m.
0
Let z(x) = -397*x - 1810. What is the remainder when z(-7) is divided by 27?
24
Let g(s) = 2*s**2 - 20*s - 134. Let c be g(-5). Calculate the remainder when 48 is divided by ((-24)/c)/3*-82.
7
Suppose -33*i + 32*i + 204 = 6*v, v = -4*i + 57. Calculate the remainder when 491 is divided by v.
29
Suppose -534*m = -4*r - 529*m + 431, 6*r - 656 = -2*m. Suppose -3*c - 4*n + 16 + 84 = 0, 5*n = -5*c + 165. Calculate the remainder when r is divided by c.
13
Let u be (-4)/3 + 154/21. Suppose u*d - 26 = 604. Suppose 5*m - 105 = d. What is the remainder when 206 is divided by m?
38
Let f(s) = -s**3 - 9*s**2 - 15*s - 18. Let x be f(-12). Suppose 4*z = -3*b + x, 0 = -4*z + 4*b + 273 + 335. What is the remainder when z is divided by 19?
17
Let d(b) = b**3 + 12*b**2 - 13*b + 5. Let r be d(-13). Suppose r*k = -36 + 666. Calculate the remainder when 54 is divided by k/12 - (-1)/2.
10
Calculate the remainder when 180 is divided by ((-420)/112)/((-5)/12).
0
Suppose -6*u = 4*u - 560. Let w = 59 - u. Suppose -p + 3*f - 7*f = -31, 2*p + w*f - 52 = 0. Calculate the remainder when 88 is divided by p.
19
Let y(k) = 22 - 4*k + 0*k + 3*k. Let z be y(19). Suppose -z*p - 2*r + 19 = -0*p, 5*r = 2*p - 19. Calculate the remainder when p is divided by 5.
2
Let u = 67 - 73. Let i(h) = 20*h + 158. What is the remainder when 108 is divided by i(u)?
32
Let w = -5 - -6. Suppose -w = -6*c + 131. Suppose 5*q + 33 = 4*n, -5*n + 9*n = -4*q - 12. Calculate the remainder when c is divided by n.
0
Suppose 8*g - 2431 = -3*g. Suppose -z + 5*o = 4*z - 360, -2*o = 3*z - g. Calculate the remainder when z is divided by 11.
7
Suppose 5*y = 3*n - 1421, -4*n + 1099 + 833 = -2*y. Suppose -3*t = 17 - 200. What is the remainder when n is divided by t?
60
Let g(f) = 169*f + 4744. What is the remainder when 2925 is divided by g(-28)?
9
Let j = 25680 - 24930. What is the remainder when j is divided by 84?
78
Suppose 228 = -43*m - 417. Let k(r) = -2*r - 30. Let v(u) = -3*u - 59. Let o(y) = 5*k(y) - 2*v(y). What is the remainder when 40 is divided by o(m)?
12
Let m be (-18)/(-12)*9/((-162)/(-24)). Suppose 4*b = 5*i + 334, -m*b - 2*i + 164 = -3*i. What is the remainder when b is divided by 30?
21
Suppose -2*a - 2*a = -732. Suppose 12 = 3*w, -14*n + 19*n - 4*w - 4424 = 0. Suppose -n = -8*k - 16*k. Calculate the remainder when a is divided by k.
35
Let z = 41 + -35. Suppose -c + 16 = y, 3*c + 3*y = z*c - 60. Suppose 2*u = -2*k + k + 63, -4*k = -u + c. Calculate the remainder when 119 is divided by u.
29
Let v(w) = 61*w - 9*w**3 - 11*w**2 - 12 + 6*w**3 - 55*w + 5*w**3. Calculate the remainder when v(7) is divided by 20.
17
Suppose 13*r = 10*r + 522. Suppose -4*v - 133 = -3*t, 0*v + r = 4*t - 2*v. Calculate the remainder when 171 is divided by t.
42
Let k(v) = -v**2 + 6*v - 1. Let w be k(6). Let f = 156378 - 156354. Calculate the remainder when (-142)/4*(-1 + w) is divided by f.
23
Let q be -3 + (-39)/(-12) - 99/12. Let z be (-33)/22*q/3. Suppose z*p = y + 180, 2*p + 2*p - 2*y - 180 = 0. What is the remainder when p is divided by 10?
5
Calculate the remainder when (-24)/21*31381/(-4) is divided by 61.
60
Let n(y) = -y**2 - 7*y - 8. Let r be n(-4). Suppose -r*g + 80 = -20. Let w = g + -21. What is the remainder when 4 is divided by w?
0
Suppose 6*x - x = 25. Suppose -x*g = -10*g - 735. Let k = -95 - g. What is the remainder when 154 is divided by k?
50
What is the remainder when 192 is divided by (4/((-8)/30))/((-9)/60*2)?
42
Suppose 271*w - 86179 - 91176 = 174132. Calculate the remainder when w is divided by 17.
5
Suppose 42414 + 86466 = 950*n + 29130. Let j(w) = w**3 + 4*w**2 + 3*w + 3. What is the remainder when n is divided by j(-3)?
0
Suppose 4*v = 55*v + 6128 - 155150. Calculate the remainder when v is divided by 14.
10
Suppose 218*c = 7434 + 15238. What is the remainder when 203 is divided by c?
99
Let u(h) = 280*h**2 + 7*h - 49. Calculate the remainder when u(3) is divided by 26.
22
Let n = 85 - 79. Calculate the remainder when 1 - 158*(9/n - 4) is divided by 57.
54
Suppose 5*j - 92 = -3*o - 24, -30 = -4*o + 2*j. What is the remainder when ((-9)/3 - -65) + 3 is divided by o?
10
Let d = -3657 + 3701. Let k(j) = 2*j**2 + 2*j. What is the remainder when d is divided by k(-3)?
8
Suppose 2*w - 4*u = -3*w - 29, -5*w = -2*u + 27. Suppose -4*j = -5*q - 598, -j - 39*q = -42*q - 153. What is the remainder when j is divided by (1 - 2)/(w/125)?
22
Let c = -9403 + 9414. Calculate the remainder when 263 i