Let o be 24*(6/(-4))/(-3). Let y(b) = b**3 - 12*b**2 - b + 12. Let f be y(o). Suppose -u + 0*u + 15 = f. What is the remainder when u is divided by 4?
3
Suppose 13*o - 5*o + 344 = 0. Let c = -32 - o. Suppose 206 = 5*g + 3*u, -3*g - 5*u = g - 157. What is the remainder when g is divided by c?
10
Let q(j) = -14*j + 5. Suppose 2*b = -0*b - 4*u - 24, b + 8 = -u. Let v be q(b). Let w = v + -15. Calculate the remainder when w is divided by 16.
14
Let a(w) = -w + 8. Let z be a(-6). Suppose 15*l - 102 = z*l. Calculate the remainder when l is divided by 21.
18
Suppose -2*j - 3*m = -7*m - 96, 2*j + m - 96 = 0. What is the remainder when j is divided by 17?
14
Let w(t) = -t**2 + 10*t - 7. Let m be w(10). Let x = m + 17. Calculate the remainder when 29 is divided by (15/x)/((-3)/(-30)).
14
Let t(r) = r - 4. Let p be t(5). What is the remainder when -2 - -17*p - (-8 + 6) is divided by 9?
8
Let k be 8*(1 + (-4)/(-4)). Calculate the remainder when (k/(-20))/(6/(-180)) is divided by 10.
4
Let w(c) = -12*c - 2. Let d be w(-1). Calculate the remainder when 13 is divided by 6/d - (-88)/(-20)*-1.
3
Suppose 0 = 2*n - 3*d + 3 - 42, 2*n - 38 = 4*d. Let w(c) = 3*c**2 - 2*c + 7. What is the remainder when w(6) is divided by n?
19
Calculate the remainder when (12/16)/((-15)/(-11420)) is divided by 41.
38
Suppose 4 = v + 2, 3*r - 22 = v. Suppose 4*p - 44 = r. What is the remainder when p is divided by 8?
5
Suppose 2*u = 40 - 0. Calculate the remainder when (-1*u)/(6/63*-3) is divided by 36.
34
What is the remainder when 536 is divided by (-45)/(-36)*-6*-12?
86
Let t be 0/(-3) + (2 - -1). Suppose -118 - 128 = -t*r. What is the remainder when r is divided by 17?
14
Suppose 0 = -0*g - 5*g - 40. Let n(p) = -p**2 - 11*p + 7. Let t(v) = -v + 1. Let u(x) = n(x) - 2*t(x). Calculate the remainder when 36 is divided by u(g).
10
Let t be (1 + -6)*(-1 - 12). Suppose -5*b + 35 = -t. What is the remainder when 76 is divided by b?
16
Suppose 4*c + 1 = 5, -4*c - 166 = -2*h. What is the remainder when h is divided by 6/(-15) + 2499/85?
27
Let g(x) = 48*x**2 + 2*x. Calculate the remainder when 70 is divided by g(-1).
24
Let k = -790 - -797. What is the remainder when 68 is divided by k?
5
Let z(j) = -j**3 - 13*j**2 - 4*j - 15. Calculate the remainder when z(-13) is divided by 15.
7
Suppose -294 = -4*l - 62. Suppose 4*q - 4 - 56 = 0. What is the remainder when l is divided by q?
13
Suppose 0 = -0*k - 2*k. Suppose x - 2*t - 15 + 3 = 0, k = 4*x + t - 57. Let z(v) = -v**2 + 5*v + 5. What is the remainder when x is divided by z(5)?
4
Let l(w) = w**2 + 5*w. Let n be l(-5). Suppose c - 4 = -n*c. Suppose h - 52 = -5*r, c*h - 6 + 28 = 3*r. What is the remainder when 29 is divided by r?
9
Let y be 17 - (0 - (0 + 0)). Suppose -19*s + 70 = -y*s. What is the remainder when 103 is divided by s?
33
Let c(h) = -h - 11. Let u be c(-13). Suppose -3*b + u*b = -4*l + 68, -5*b - 20 = 0. Calculate the remainder when 47 is divided by l.
15
Suppose 116*r = 113*r + 5*f + 103, f = -4*r + 145. What is the remainder when 149 is divided by r?
5
Let h(j) = 3*j**2 + 11*j + 14. Let n be h(-6). Suppose -n*p + 52*p + 8 = 0. What is the remainder when -3*(-2)/(-9)*-6 is divided by p?
0
Let l(g) = 645*g - 10. What is the remainder when l(1) is divided by 49?
47
Suppose -4 = 3*n + 2, -q + 5*n = -43. Let x = q - 22. Let h(v) = v**3 - 2*v**2 - 7*v + 2. What is the remainder when h(5) is divided by x?
9
Suppose -50 - 86 = -4*t. Suppose 2*g - k = 7*g - 95, 2*g - 3*k - 21 = 0. What is the remainder when t is divided by g?
16
Suppose 5*l = 5*n + 112 + 43, -l + 5*n + 47 = 0. Suppose 0 - 1 = -v, 0 = -4*f - 2*v + 214. Calculate the remainder when f is divided by l.
26
Let o(g) = -g**3 - 7*g**2 - 4*g + 9. Let m be o(-5). Suppose 18 = 3*w - 2*j, -11 = 2*w - 3*w - j. What is the remainder when w is divided by 6/m + 92/28?
2
What is the remainder when (7/28)/(7/1988) is divided by 13?
6
Suppose 47 = 4*m + 311. Calculate the remainder when 1359/33 + 12/m is divided by 14.
13
Let q(n) = 5*n + 5*n - 22 - 7*n + n. Let b(o) = 4*o - 1. Let x be b(3). What is the remainder when q(x) is divided by 12?
10
Let i = -16 + 27. Suppose -5*y + 13 = -3*m - 2658, -2*y + 1078 = 2*m. Calculate the remainder when (-4)/(-18) - y/(-18) is divided by i.
8
Let n = 40 + -22. Suppose -3*p + 3*y = -p - 32, 5*p - 66 = 4*y. Let q = n - p. What is the remainder when q is divided by 3?
2
Let h(s) = -15*s + 4. Let u be h(-7). Suppose 2*t = o - 96, 4*o - 4*t = u + 271. Calculate the remainder when o is divided by 33.
28
Calculate the remainder when (-6549)/(-69) + 1400/230 + -6 is divided by 14.
11
Suppose -780 = -0*b - 26*b. Calculate the remainder when 115 is divided by b.
25
Let c = 31 - 56. Let m = 62 + -66. What is the remainder when (c/m)/(5/40) is divided by 17?
16
Suppose -4*p = -2*p - 24. Suppose -3*g + 83 + 13 = 0. What is the remainder when g is divided by p?
8
Calculate the remainder when -4 + ((-756)/(-4))/3 is divided by 20.
19
Suppose 64*i + 84 = 65*i. What is the remainder when 334 is divided by i?
82
What is the remainder when 909 is divided by (-3)/(72/(-380)) - 1/(-6)?
13
Let f be (-48)/(-10) + (-3)/(-15). Let k be 1*(-3)/f*-55. Calculate the remainder when (418/k)/(2/3) is divided by 5.
4
Suppose -4*s = 5*h - 13 - 32, 0 = -3*s + h + 48. Suppose 5*d = 148 + 142. Calculate the remainder when d is divided by s.
13
Suppose -85 + 5 = -4*k. Calculate the remainder when 64 is divided by k.
4
Suppose 0 = 4*x + 5 - 21. Suppose m = -x*l + 133, -2*m = 2*l - 44 - 30. What is the remainder when (-79 + 61)*(-1 + 6/(-1)) is divided by l?
30
Let z(l) = -l**3 - l**2 + 3*l - 1. Let i be 3/(-6)*-2*1. Suppose -i + 16 = 3*b. Calculate the remainder when z(-3) is divided by b.
3
Let z(u) be the third derivative of u**6/120 - u**5/6 - 5*u**4/8 - 17*u**3/6 - 7*u**2. Calculate the remainder when z(12) is divided by 31.
29
Let h = 21 - 21. Let z(b) = 3*b + 31. Calculate the remainder when z(h) is divided by 18.
13
Let z(c) = -c**2 + 6*c + 2. Suppose 4*v - 8 - 8 = 0. Suppose -j - 15 = -v*j. What is the remainder when 26 is divided by z(j)?
5
Let f = 1150 - 645. What is the remainder when f is divided by 39?
37
Let a(p) = p + 4. Let n(r) = 4*r**2 - 2*r. Let o be n(1). Suppose -o*m = -1 - 29. What is the remainder when m is divided by a(0)?
3
Suppose -w - 2 - 24 = 0. Let g = 39 + w. Calculate the remainder when g is divided by 6.
1
Let y(f) = f**2 + 6*f - 11. Calculate the remainder when y(9) is divided by 14.
12
Let n(p) = p - 10. Let c be n(0). Let f(h) = -h**3 - 9*h**2 - 3*h - 16. Calculate the remainder when f(c) is divided by 13.
10
Suppose -2*a - 14*b + 11*b = -141, 3*a + b - 208 = 0. Calculate the remainder when 287 is divided by a.
11
Let q = 324 + -306. Calculate the remainder when 26 is divided by q.
8
Suppose 10*r = 8*r + 4*w + 12, 0 = 4*r - 2*w - 24. Let a = 12 + 15. What is the remainder when a is divided by r?
3
Let v = -1041 - -1740. What is the remainder when v is divided by 13?
10
Suppose 0 = 20*w + 8*w - 4116. Calculate the remainder when w is divided by 30.
27
Let w(l) = 3*l**2 + 18*l - 1. Let s be w(-8). Let i = -32 + s. Suppose 16 + 199 = 5*b. What is the remainder when b is divided by i?
13
Let h = 17 + 37. Suppose 41*a = 45*a - 56. Calculate the remainder when h is divided by a.
12
Let w = -59 - -87. Let r(s) = -7*s + 201. Let f be r(30). Let d = f + w. What is the remainder when 73 is divided by d?
16
Let u(y) be the second derivative of y**5/20 - y**4/2 + 5*y**2 + 8*y. Suppose 0*q + 4*q = 28. What is the remainder when u(q) is divided by 20?
19
Suppose -539 - 1 = -20*d. Suppose 3*j = -2*j + 535. What is the remainder when j is divided by d?
26
Let l(t) = -95*t - 27. What is the remainder when l(-1) is divided by 36?
32
Let z(j) = -26*j + 409. Let m = 72 - 22. Calculate the remainder when z(12) is divided by m.
47
Let b(s) = -s**3 + 12*s**2 + 13*s + 8. Calculate the remainder when 18 is divided by b(13).
2
Let w(j) = -j**3 + 36*j**2 + 43*j - 139. Calculate the remainder when 323 is divided by w(37).
74
Let n(k) = -k**3 + 9*k**2 - 10*k - 1. What is the remainder when n(7) is divided by (-14)/3*(-3)/2?
6
Let f(b) = -11*b - 93. Calculate the remainder when f(-12) is divided by (-2)/(-12) - 92/(-24).
3
Let z(g) = -32*g - 72. What is the remainder when z