0. Calculate the remainder when l is divided by 12.
11
Let z be (-2 + 0)*((-740)/8 + -8). Suppose -5*a + 5*u = 2*u - z, 0 = -a - 4*u + 54. What is the remainder when 167 is divided by a?
41
Let q = 49 - 26. Suppose 3*i = 4*x + q, -2*i - i + 11 = 2*x. Suppose -2*h - 30 = -9*z + 38, -5*z - 3*h + 46 = 0. What is the remainder when z is divided by i?
3
Suppose 11*q + 69 = 14*q. Calculate the remainder when 44 is divided by q.
21
Suppose 15*h - 26 = 19. What is the remainder when 21 is divided by h?
0
Let s(d) = 2*d**2 - 7*d + 13. Let u be 1 + (-8)/6*-3. What is the remainder when 81 is divided by s(u)?
25
Let u(c) = c + 2. Calculate the remainder when 50 is divided by u(11).
11
Let d(a) = -a - 1. Let m be d(-4). Suppose 0 = -33*k + 30*k + 9. Suppose -k*o + r = -41, -m*o + 43 = -3*r - 8. What is the remainder when 23 is divided by o?
11
Calculate the remainder when (-2)/(-2) + 233 + 5 is divided by 50.
39
Let q be 6/(1 + 0)*(-782)/(-69). Suppose -18*d - q = -22*d. What is the remainder when d is divided by 6?
5
Suppose -11*s - 96 + 2516 = 0. Calculate the remainder when s is divided by 32.
28
Let k = -149 - -161. What is the remainder when 718 is divided by k?
10
Suppose 2*s = 7*s - 10. Suppose 4*w - 184 = -s*h, -2*h = -4*w - h + 190. What is the remainder when w is divided by (-24)/2*2/(-2)?
11
Let r(k) = -k**3 + 4*k**2. Let n be r(4). Let c(h) = 0*h**3 + 7*h - 7*h + 8 + h**3. What is the remainder when c(n) is divided by 3?
2
Suppose -13*c + 20 = -8*c. Suppose 4*r = 5*f + 10, 26 = 3*f - 0*f + c*r. Suppose -f + 20 = 3*b. What is the remainder when 11 is divided by b?
5
Let c(m) = -m**3 - 17*m**2 - 39*m - 69. What is the remainder when 589 is divided by c(-15)?
61
Let a be (-8)/5*85/34. Let x be (-60)/(-35) + a/(-14). Suppose 5*m + 103 = x*l, 93 = 2*l - 2*m - m. What is the remainder when l is divided by 22?
17
Suppose 57*u + 989 = 5*n + 54*u, 5*n - 1001 = -3*u. What is the remainder when n is divided by 62?
13
Let l = 65 + -67. What is the remainder when 93 is divided by (l + 14)*(2 - 1 - -1)?
21
Let u(t) = t**2 + 2*t - 10. Suppose -4*r = 4, 0 = -3*j + 5*j + 3*r + 15. Let g(p) = -p. Calculate the remainder when u(j) is divided by g(-5).
4
Calculate the remainder when 76 is divided by 72*(6/(-7) - (-1025)/861).
4
Suppose -3*a - 2*a = -55. Suppose 772 = 30*p - 41 - 477. Calculate the remainder when p is divided by a.
10
Suppose z + 3 = 0, 0 = -y + 62*z - 58*z + 128. What is the remainder when 462 is divided by y?
114
Let b be (-10)/2*(-6 + -7). Suppose b = 5*v - 125. What is the remainder when 150 is divided by v?
36
Suppose 1564 = 47*y - 2478. Let b(k) = 2*k**2 + 2*k + 4. Calculate the remainder when y is divided by b(-5).
42
Suppose -d + 4*m + 46 = 0, -2*m - 174 = 5*d - 470. Let u be 2/(-6) + (-10)/(-3). Let t = 12 + u. Calculate the remainder when d is divided by t.
13
Suppose -57 = 5*l - 202. What is the remainder when 31 is divided by l?
2
Let a(t) = t**2 - 7*t - 6. Let m be a(-4). Let q = -16 + m. Let b = 505 - 440. Calculate the remainder when b is divided by q.
21
Let v be (-12)/28 + (-17)/(-7). Suppose v*a = a + 1. Let i(y) = 18*y**2 + y. What is the remainder when i(a) is divided by 5?
4
What is the remainder when -10*((-679)/35 - 6) is divided by 17?
16
Suppose 0 = -2*p + 3*p + a - 15, -5*p + 4*a = -93. Suppose -f = 3 - 8. Calculate the remainder when p is divided by f.
2
Let a = 599 + -571. Suppose 3*c - 23 = -0*q - 2*q, 39 = 4*q - c. What is the remainder when a is divided by q?
8
Let o(n) = n**2 + 9*n + 17. Let c be (-4)/((-2)/(-4) - 0). Calculate the remainder when 206/8 + 1/4 is divided by o(c).
8
Calculate the remainder when -6 + 1 - (0/(-4) + -56) is divided by (1 - 5)/(2/(-9)).
15
Let l(c) = 3*c - 18. Suppose -2*b + b + 40 = 0. Suppose 3*z + 10 = -p, p - b = -3*p + 4*z. Calculate the remainder when l(12) is divided by p.
3
Let g = 243 - 230. What is the remainder when 38 is divided by g?
12
Suppose 2*g + 7*g - 459 = 0. Suppose 4*h = -4*b + h + 1, -b - 2*h - 6 = 0. Suppose 0 = -3*k + b*k - 18. What is the remainder when g is divided by k?
15
What is the remainder when ((-344)/14)/(24/(-504)) is divided by 105?
96
Let p = 3941 - 3882. Suppose z = -h + 31, 2*h = -3*z + 35 + 27. What is the remainder when p is divided by h?
28
What is the remainder when 1245/(-6)*9/(360/(-32)) is divided by 21?
19
Suppose 4895*w = 4902*w - 21. What is the remainder when 7 is divided by w?
1
Let o be (21 - 18) + 7 + (0 - 1). Suppose o*x = 4*x + 55. Calculate the remainder when 20 is divided by x.
9
Let n(v) = -v**3 - 11*v**2 + 12*v + 144. Calculate the remainder when n(-11) is divided by 5.
2
Suppose -5*v - 36 + 16 = 0. Calculate the remainder when 80 is divided by (-1 - -3) + 23 + v.
17
Suppose 38 - 102 = -2*s. Let m = 16 + s. Calculate the remainder when m is divided by 7.
6
Let v(z) = -4 + 15 - z - 9 + 0*z. Let f = -1 + -2. Calculate the remainder when 14 is divided by v(f).
4
Let b(r) = -4*r - 12. Let n be b(-14). What is the remainder when 12 is divided by ((-4)/3)/(n/(-165))?
2
What is the remainder when 222/148*640/6 is divided by 18?
16
Suppose 11*o = 238 + 873. What is the remainder when o is divided by 1 - (-17)/(-2)*-4?
31
Let k = 3 - 0. Suppose 0 = k*r - 4*u - 110, 0 = -7*r + 3*r + 3*u + 142. Let l = r + -23. What is the remainder when 21 is divided by l?
10
Let z(v) = 4*v**2 + 2*v. Let s be z(-2). Let w = 8 - s. Let p = w - -35. What is the remainder when p is divided by 16?
15
Suppose -4*r + 22 = 2. Let f(x) = x**3 + 3*x**2 - 5*x + 4. Let u be f(-5). Let b = u - -29. What is the remainder when b is divided by r?
3
Let j(k) = -11*k + 2. Let p be (5 - -2)/(7/(-35)). What is the remainder when j(-7) is divided by (p/(-25))/7 + 99/5?
19
Let c(d) = -d**3 - 6*d**2 - 6*d. Suppose b - 4*j - 15 = 0, j = -0*b - 4*b - 25. Suppose 3*t = 5*t - 14. Calculate the remainder when t is divided by c(b).
2
Suppose 14*p = 350 + 378. What is the remainder when p is divided by 4?
0
Suppose -n + 7 + 4 = 0. Let z(x) = -4*x**3 - 2*x**2 + x - 2. Let a(i) = -2*i - 20. Let c be a(-9). Calculate the remainder when z(c) is divided by n.
9
Suppose -4*f + 115 = -121. Suppose 26 = n - 2*r, -r + f = 4*n - 0*r. What is the remainder when n is divided by 9?
7
Let f be (18/(-15))/((-6)/255). Let c = f - 31. Suppose -3*x - c = -7*x. What is the remainder when 7 is divided by x?
2
Let o = 832 + -814. What is the remainder when o is divided by (-5)/(-25) + 48/10?
3
Calculate the remainder when ((-2)/(-3))/(9 + 30490/(-3390)) is divided by 25.
13
Suppose -v = 2*o + 4*v - 10, -4*o + 4*v + 20 = 0. Let c be (-170)/51*6/o. What is the remainder when 18 is divided by c*((-75)/6)/5?
8
Let b be 8/(-4)*(-2)/(-4). What is the remainder when ((-300 - -6)/(-6))/(-2 - -3) is divided by 1/(2/(-34)*b)?
15
Let k(n) = 2*n**3 - 11*n**2 - 9*n - 66. Let t = 0 - 4. Calculate the remainder when ((-90)/t)/((-6)/(-8)) is divided by k(7).
12
Suppose 20 = 3*s - 163. Let z(c) = c**3 + 8*c**2 + 7*c + 16. What is the remainder when s is divided by z(-7)?
13
Let w(i) = 2*i - 5. Let a be w(5). Suppose 4*m - 2*p + 9 = -a*p, 3*p + 9 = 3*m. Suppose m*c = 4*c - 212. What is the remainder when c is divided by 14?
11
Suppose 20*c = 18*c + 62. Let n = 36 - c. Suppose y - 23 = n. What is the remainder when 55 is divided by y?
27
Let u = 85 + -32. Let h = 775 + -764. What is the remainder when u is divided by h?
9
Suppose u - 35 - 38 = -4*b, 264 = 3*u - 3*b. Calculate the remainder when u is divided by 23.
16
Suppose -4*h + 121 = 6*r - 3*r, -2*h - 4 = 0. Calculate the remainder when 4 - (-14)/(112/1320) is divided by r.
40
Suppose 15498 = 13*h + 3668. What is the remainder when h is divided by 83?
80
Let o(i) = 2*i**2 - 2*i + 1. Suppose -24 + 4 = 5*b. Suppose -8*h - 56 = -224. What is the remainder when o(b) is divided by h?
20
Suppose 5*t - 3*g = t - 18, 0 = -5*t + 4*g - 22. Let a be t/(-9) + (-370)/15. Let f = -19 - a. Calculate the remainder when 8 is divided by f.
3
Let y be (0 - 1 - -1)/(-6 + 4). Suppose 5*h - 2*d - 72 = y, -2*d + 40 = h + 2*h. What is the remainder when h is divided by 8?
6
Let n(x) = 27*x - 164. What is the remainder when n(7) is divided by 17?
8
Suppose 146*p - 4400 = 96*p. Calculate the remainder when p is divided by 40.
8
Suppose 3*q - 91 = -5*k, -6 + 1 = -k. What is the remainder when 