2
Let t be 3*(1/(-1) - -2) - -182. Suppose l - 65 = -3*z, -5*z + t = 3*l - 6*z. What is the remainder when l is divided by 21?
20
Let i = 17 - -17. Suppose 4*c + n = -2*n + i, 4*c - n - 42 = 0. What is the remainder when 40 is divided by c?
0
Let c be (-3)/((-6)/(-512)*(3 - 5)). Let q = c - 113. What is the remainder when 36 is divided by q?
6
Suppose 9*p = 12*p - 243. Suppose -3*g + 27 = 3*u, 5*u + g - p = 5*g. What is the remainder when 51 is divided by u?
12
Let r be -43*((-6)/(-2))/(-3). Let q = r + -30. What is the remainder when 77 is divided by q?
12
Let k = -3 + 0. Suppose -3*s = -2*s - 5*a + 29, 0 = -2*a + 4. Let z = k - s. What is the remainder when z is divided by 9?
7
Let n(t) = -12 - t**3 + 16*t + 9*t**2 + 0*t**3 - 7 + t**2. What is the remainder when 142 is divided by n(11)?
34
Suppose 2*s = -654 + 782. What is the remainder when s is divided by 25?
14
Let i(r) = -3*r - 18. Let g be i(-6). Calculate the remainder when 19 is divided by (-1 - (-11 + g/(-2)))/2.
4
Suppose 4 = 2*f, -5*w + 81 = f + 14. What is the remainder when w is divided by 9?
4
Suppose n - 4 = -0*q + 2*q, 2*n - 6 = 5*q. Suppose 0 = c - 4*k - 137, -c + n*k = 13*k - 155. What is the remainder when c is divided by 21?
19
Suppose 0 = 2*y + 94*d - 97*d - 115, 5*y - 225 = -5*d. Calculate the remainder when 152 is divided by y.
2
Let g = 18 - 11. Let b = g + 3. Suppose -b*k = -14*k + 44. What is the remainder when k is divided by 3?
2
Let x(w) = -22*w**3 - 4*w + 1. Let q(m) = -111*m**3 + m**2 - 21*m + 6. Let i(g) = -2*q(g) + 11*x(g). What is the remainder when i(-1) is divided by 6?
1
Suppose -3*n + 0*n + 423 = 0. Let x = 319 + -283. Calculate the remainder when n is divided by x.
33
Suppose -4*j - 2 = 6. Let w(g) = -g**2 - 15*g - 50. What is the remainder when (j/(-4))/((-1)/(-46)) is divided by w(-7)?
5
Let f(u) = -2*u + 24. Suppose 0 = 4*b + 109 - 125. Calculate the remainder when f(b) is divided by 7.
2
Let m = 45 + -28. Calculate the remainder when 44 is divided by m/2 + (-5 - (-11)/2).
8
Let a = 5 + 9. Let u be 1 + (3 + -1 - -118). Suppose -4*m - i = -207, -u = -2*m + 2*i + i. Calculate the remainder when m is divided by a.
11
Suppose -c = -4*c + 57. Suppose 0 = 51*u - 54*u + 21. Calculate the remainder when c is divided by u.
5
Suppose 4*v - 94 - 19 = j, 0 = -v - j + 27. Calculate the remainder when 55 is divided by v.
27
Suppose t = -2*s - 2, -5*t + s = 2*s - 17. Suppose 7*j - 1080 = -19*j - 14*j. Calculate the remainder when j is divided by t.
3
Suppose -4*z + k = -463, 40 = -z + 5*k + 132. What is the remainder when z is divided by 12?
9
Suppose -5*c - 22*q + 25*q = -210, 3*q - 84 = -2*c. What is the remainder when 207 is divided by c?
39
Let u = -29 + 34. Suppose 0*f + 350 = u*f. Calculate the remainder when f is divided by 18.
16
Let u = 529 + -525. Calculate the remainder when 27 is divided by u.
3
Let c(x) = 8*x**2 - 7. What is the remainder when c(-6) is divided by 94?
93
Calculate the remainder when 404 is divided by (-5 + 10 - 0) + 10*4.
44
Calculate the remainder when 471 is divided by 12/10 - 1816/(-20).
11
Suppose 4*b - 516 = -2*l, -3*l + 293 = -2*b - 521. Calculate the remainder when l is divided by 81.
25
Let z(t) = t**2 + 5*t + 7. Let v be z(-5). Let k(q) = -q**3 + 7*q**2 + 8*q - 7. Calculate the remainder when k(v) is divided by 18.
13
Let d(y) = 18*y - 108. What is the remainder when d(11) is divided by 14?
6
Let w = -683 + 724. What is the remainder when w is divided by 19?
3
Let y(k) = 20*k - 5. Let t be y(5). Suppose 0 = r - 6*r + t. What is the remainder when 53 is divided by r?
15
Suppose 0 = -3*x - 5*l + 58, -21 = -3*l - 6. Suppose -52 - 80 = -x*r. Calculate the remainder when r is divided by 5.
2
Suppose 121 = 2*s - s. Suppose -s + 16 = -3*a. Calculate the remainder when a is divided by 13.
9
Suppose i + 2*u + 32 - 90 = 0, 2*i - 2*u = 98. Let h(s) = -19*s + 1. What is the remainder when h(-2) is divided by ((-78)/i)/(3/(-28))?
11
Let g(w) = 3*w**3 + 190*w**2 + 61*w - 16. Calculate the remainder when g(-63) is divided by 4/18*-3*-21.
12
Suppose -5*j + 873 = 4*c, 2*c + 15*j - 435 = 12*j. Calculate the remainder when 224 is divided by c.
2
Suppose -60*q - 5049 = -69*q. What is the remainder when q is divided by 113?
109
Let x be 6*(-1 - (-9)/6). Suppose -n = x*n. Calculate the remainder when 43 is divided by (26 - 4) + (n - 0).
21
Let m(h) = -h - 1. Let y(d) = 15*d - 8. Let x(n) = m(n) + y(n). What is the remainder when x(7) is divided by 23?
20
Let p be (1 - -30) + -1 - -2. Suppose 3*y - y - p = 0. Suppose 2*h + y = 4*h. Calculate the remainder when 22 is divided by h.
6
Let y = -8920 - -8942. Let v(x) = 6*x - 6. Let m be v(4). Suppose 2*g - m = -g. Calculate the remainder when y is divided by g.
4
Let o be 6/9*3 + -12. Let n be 80/32*(-276)/o. Suppose 5*u = -2*y + n, -88 = -2*y - 2*u - 4. Calculate the remainder when y is divided by 12.
11
Let t(q) = -8*q**2 - 6*q + 10. Let a be t(3). Let h = 85 + a. What is the remainder when 8 is divided by h?
3
Let c = -121 + 503. Calculate the remainder when c is divided by 80.
62
Suppose -253 = -16*w + 5*w. What is the remainder when w is divided by 13?
10
Suppose 2*n - 48 = -2*a, 3*n + 0*a = -5*a + 64. Suppose 0 = 18*d - 1160 - 1252. What is the remainder when d is divided by n?
22
Suppose -7*c + 15*c - 360 = 0. Calculate the remainder when c is divided by 16.
13
Let h be (-9 - -5 - 77)*1/(-3). Suppose 0 = -24*d + h*d - 15. Calculate the remainder when d is divided by 5.
0
Let n = -655 + 666. Let f be (-2)/6*-3 + -1. Suppose 3*v - 3*p - 102 = f, 2*v - 2*p = -7*p + 33. What is the remainder when v is divided by n?
7
Suppose 5*r - 39 = -3*p, -4 = 2*p - 0*p. What is the remainder when 69 is divided by r?
6
Suppose 7*j - 3*j - 20 = 0. Suppose -4*n = -j*n + 4. Calculate the remainder when 19 is divided by n.
3
Calculate the remainder when 24/(-21) + (-4320)/(-56) is divided by 48.
28
Suppose 0 = -32*m + 30*m + 50. Calculate the remainder when m is divided by 7.
4
Let l(g) = g**3 - 8*g**2 + 6*g + 10. Let t = -46 - -53. Suppose 15 = 2*w + 3. What is the remainder when w is divided by l(t)?
0
Let m(k) = 3*k**2 + 2*k - 6. Let i = 14 + -2. Calculate the remainder when m(-4) is divided by i.
10
Suppose -5*g - 2*u = -0*u - 105, 3*g + u - 62 = 0. Suppose g*i - 135 = 4*i. What is the remainder when 61 is divided by i?
7
Suppose 3*o - 12*s = -15*s, 0 = 3*o + s - 6. What is the remainder when 4 is divided by o?
1
Let s(h) = -h**3 - 37*h**2 + 79*h + 123. Calculate the remainder when 754 is divided by s(-39).
82
Let g(d) = 3*d - 19 - 9*d + 30. What is the remainder when 243 is divided by g(-5)?
38
Suppose -36*s + 3*h + 24 = -31*s, 18 = s - 5*h. What is the remainder when 16 is divided by s?
1
Let u(a) = a**2 - 3 + 1 + 3*a + 5. Let p be u(-3). Suppose -9 - p = -3*k. What is the remainder when k is divided by 3?
1
Suppose 0 = j + 2*x + 4, 3*j + x = -0*j + 3. What is the remainder when (-3 - (-12 - -2)) + j is divided by 5?
4
Let a = -1089 - -1110. Suppose -4*h + 2*v = -654, 437 + 49 = 3*h - 3*v. Calculate the remainder when h is divided by a.
18
Let m be 0 - (0 - 4)*1. Suppose 2*s - 2 = -h, 4*s - s + 63 = m*h. Calculate the remainder when 33 is divided by h.
9
Suppose 5*c - 3*b - 125 = 0, -5*c + 2*c = -b - 75. Let k = 34 - c. What is the remainder when 42 is divided by k?
6
Suppose 156 = 4*j + n, -4*j + 189 = -5*n + 33. What is the remainder when 113 is divided by j?
35
Let p = 9 + -6. Suppose -2*k - 60 = -p*k. Suppose -4*l - o = -3*o - k, 2*l - 6 = -5*o. What is the remainder when 23 is divided by l?
10
Let t(g) = -8*g - 1. Let c(s) = -s**2. Let r(x) = x**2 - x - 2. Let z(a) = -5*c(a) + r(a). What is the remainder when t(-6) is divided by z(-2)?
23
Let y(c) = -3*c - 23. Let b be y(-10). Suppose 0 = -b*k + 471 - 128. What is the remainder when k is divided by 17?
15
Let w = -13 - -19. Calculate the remainder when 63 is divided by w.
3
Let i(w) = w**3 + 6*w**2 + w + 8. Let y be i(-6). Suppose -245 = -7*f + y*f + 2*d, -f = -3*d - 49. What is the remainder when 143 is divided by f?
45
Let k(i) = i**2 + 6. What is the remainder when -14*159/106*((-15)/9)/1 is divided by k(0)?
5
Let c(i) = -9*i**3 + 21*i. Let o(z) = -z**3 + 2*z. Let w(y) = -2*c(y) + 21*o(y). Let g be w(-1). What is the remainder when 78/(g/((-6)/(-4))) 