
Suppose -43 + 27 = -2*v. Calculate the remainder when 17 is divided by v.
1
Suppose -5*b - d + 166 = 0, 3*b + 2*d = 7*d + 94. Calculate the remainder when b is divided by 7.
5
Let i = -8 + 6. What is the remainder when (-10)/(-60) - 717/(-18) is divided by i/3*(-1 + -20)?
12
Suppose 0 = 4*l - 48 - 248. Calculate the remainder when l is divided by 19.
17
Let s(k) = 2*k - 12. Let n(o) = -1. Let a(z) = -2*n(z) + s(z). What is the remainder when a(8) is divided by 4?
2
Let x(r) = r + 4. Suppose -4*n = -n + 2*m - 2, 2*m + 4 = 0. What is the remainder when (-114)/(-8) - n/8 is divided by x(4)?
6
Suppose -k + 40 = 3*r - 26, 0 = 2*r - 2*k - 44. What is the remainder when 64 is divided by r?
20
Let w(k) = -k - 7. Let v be w(-8). Let c(g) = 3*g**2 - g + 1. Let t be c(v). Let z(f) = -f**3 + 4*f**2 + f. What is the remainder when 47 is divided by z(t)?
11
Let g(v) = v**3 + 6*v**2 + v - 5. Suppose 19 = q + 2*y - 31, -q - 4*y + 56 = 0. Calculate the remainder when q is divided by g(-4).
21
Let b be 7/((-21)/(-12)) - 2. Suppose -4 = p, 2*z + 5*p + b = -0. What is the remainder when z is divided by 4?
1
Suppose 0 = -2*n + 101 + 229. Let q = n - 77. Calculate the remainder when q is divided by 30.
28
What is the remainder when ((-54)/45)/(0 - (-2)/(-130)) is divided by 8?
6
Suppose -24 = -4*s + 52. Suppose 0 = -2*x + u + 9, -u - 1 = 2*x - 0. Suppose 0 = x*c + 3*c - 35. Calculate the remainder when s is divided by c.
5
Let p = 43 - 21. Suppose 3*b + 0*b = -27. Calculate the remainder when p is divided by 2/2 - (b + 2).
6
Let l = -3 - -1. What is the remainder when (135/(-10))/(1/l) is divided by 10?
7
Suppose -13 - 11 = -2*y. Suppose -3*z = -2*b - 63, -2*z - 3*b + 42 = -8*b. Calculate the remainder when z is divided by y.
9
Let w be 18/10 - 2/(-10). Calculate the remainder when 53 is divided by 12 + w/(4 + -3).
11
Let y = -8 + 13. Suppose -6*g = -4*g + y*o - 35, -3*o + 5 = -2*g. Suppose -4*h = g*r - 19, 0*r + r - 1 = 2*h. Calculate the remainder when 7 is divided by r.
1
Let m(k) = k**3 - 2*k**2 - 6*k + 3. What is the remainder when m(4) is divided by 16/10*(-10)/(-4)?
3
Let c = 11 + -19. Calculate the remainder when 10 is divided by (6/(-4))/(3/c).
2
Let q(r) = 2*r - 3. Let s be q(4). Suppose x + s = -0. What is the remainder when 49 is divided by (-86)/x + (-1)/5?
15
Suppose -48 = -9*g + g. What is the remainder when 16 is divided by g?
4
What is the remainder when 64 is divided by (-44)/10 + 2/5 - -17?
12
Suppose -2*f + 4*z + 342 = 0, -5*f + 2*z = z - 828. Suppose 10*i - f = 5*i. What is the remainder when i is divided by 9?
6
What is the remainder when (0 - -17) + -2 - 0 is divided by -2 + 2 - 1 - -9?
7
Let a(n) = -7*n**2 + 14*n - 15. Let m(x) = x**2 + 1. Let i(k) = a(k) + 6*m(k). What is the remainder when 59 is divided by i(12)?
14
Suppose -3*o + 2*g + 36 = 0, o - 5*g - 25 = -0*g. Let u be 9174/15 + 4/o. What is the remainder when 1/(-4) + u/16 is divided by 13?
12
Let t(i) = i**3 - 2 + 2*i**2 + 5 - 9*i**2. Let j be t(7). Suppose 0 = -4*d + j*d + 7. Calculate the remainder when 20 is divided by d.
6
Let u = 24 - 15. Let o = -18 + 44. Let g = 43 - o. What is the remainder when g is divided by u?
8
Let y(i) = -i**2 + 10*i + 10. Calculate the remainder when 17 is divided by y(10).
7
Let d be (-17)/2 + 1/2. Let k = d - -6. What is the remainder when k/10 + 3024/45 is divided by 17?
16
Let s be 10*(2 + 38/4). Let w = 77 - s. Let f = 55 + w. Calculate the remainder when 49 is divided by f.
15
Let m(q) = q**2 - 6*q + 7. Suppose -5*f + 10 = 5*o, 2*f + 3*f - 5*o - 40 = 0. What is the remainder when m(f) is divided by 2*(-4)/24*-3?
0
Suppose -c - 22 - 9 = 4*r, -51 = 4*r - 3*c. Let f = -32 - -62. Calculate the remainder when f is divided by 1*-2 - 2*r.
14
Suppose 142 = 4*s - 2*d, -3*d - 22 = -s + 16. Suppose 2*f - 65 = -r, f - r = r + s. What is the remainder when f*(14/6 + -2) is divided by 6?
5
Let a(v) = 11*v + 1. Let b be a(-1). Calculate the remainder when 56 is divided by (-76)/(-6)*(-15)/b.
18
Suppose 4*k - k - 90 = 0. What is the remainder when k is divided by 4*-8*3/(-6)?
14
Let p(g) = -g**2 + 11*g - 11. Let f be p(10). Calculate the remainder when f/((-4)/(-8)) + 33 is divided by 8.
7
Let n = 58 - 22. Suppose 5*q = -t + 33, -3*q - 2*q - 2*t = -n. What is the remainder when 11 is divided by q?
5
Suppose 0 = 4*j - 5*j - 5*r + 27, -4*j + 2*r = -42. Calculate the remainder when 17 is divided by j.
5
Let w(j) = 14*j**3 - 17*j**2 + 8*j - 11. Let t(b) = 5*b**3 - 6*b**2 + 3*b - 4. Let m(x) = 11*t(x) - 4*w(x). What is the remainder when 40 is divided by m(-2)?
12
Suppose -2*q + 5*n = 2*n - 211, 0 = 3*q - 3*n - 324. What is the remainder when (-4)/6 - q/(-3) is divided by 10?
7
Suppose 0 = -5*w + 6 + 4. Suppose 4 - 42 = -w*k. Suppose -h + 4 = -k. Calculate the remainder when 44 is divided by h.
21
Let i = -22 - -34. Let b = -9 + 16. What is the remainder when i is divided by b?
5
Suppose 0 = -3*r + 1 + 2. Let f = -3 + r. Calculate the remainder when ((-20)/(-8))/(f/(-4)) is divided by 4.
1
Let u(h) = h**3 - h**2 + 3*h - 3. Let d(g) = g**3 - 6*g**2 - g + 8. Let n be d(6). Calculate the remainder when u(n) is divided by 2.
1
Suppose 110 = -y + 6*y - 5*s, -2*s = -3*y + 67. Calculate the remainder when y is divided by 8.
7
Suppose -4*z - 2*q + 42 = -0*z, 2*z - 4*q = 36. What is the remainder when 34 is divided by z?
10
Suppose 5*k + 2*r = 409, 3*k - 2*k + 4*r - 89 = 0. Calculate the remainder when k is divided by 30.
21
Let t = 50 - 4. Let r = 60 + -24. Suppose -3*u + 2*m + r = 0, 2*u = 5*m - 9 + 33. Calculate the remainder when t is divided by u.
10
Let x(j) = 21*j + 2. Suppose 4*b - 12*k + 15*k = 77, 4*b + k - 87 = 0. What is the remainder when x(2) is divided by b?
21
Let w = 2 - 6. Let d(f) = -f**3 - 3*f**2 + 2*f - 5. Let c be d(w). Suppose c*p + 4*a + a = 29, -p + a = -15. Calculate the remainder when 37 is divided by p.
11
Let g = -79 - -39. Let t = 62 + g. What is the remainder when t is divided by 8?
6
Calculate the remainder when 32 is divided by -1*-10*(-2)/(-4).
2
Suppose 0*b - 316 = -4*b. Suppose 12 = -4*r, z + 5*r = 5*z - b. What is the remainder when 31 is divided by z?
15
Let v(s) = s**3 + 8*s**2 + 5*s - 7. Let q(p) = -p**2 - 8*p. Let h be q(-6). What is the remainder when v(-5) is divided by 1 + (h - -1*2)?
13
Suppose q + q = -6, 0 = -2*v + 3*q + 21. Let w = v - 2. Suppose -w*j + 23 = -a, 0 = 2*j + j - a - 18. Calculate the remainder when 14 is divided by j.
4
Suppose -4*b - 48 = -8*b. Let o be 1/3*(2 - -1). What is the remainder when o/6 + (-812)/(-24) is divided by b?
10
Let v(m) = -m**2 + 5*m + 1. Let o(i) = 2*i**3 - 4*i**2 - 5*i + 1. What is the remainder when v(3) is divided by o(3)?
3
Let v be (22 - 1) + 1*-2. Let w be 106/10 - 8/(-20). Let r = v - w. Calculate the remainder when 13 is divided by r.
5
Let s be 774/(-24) - 2/(-8). Let o = s + 53. Calculate the remainder when 81 is divided by o.
18
Suppose 5*s - 5*x = 385, -3*s + 4*s + x = 71. Suppose 3*k = s - 26. Calculate the remainder when -3*1/(6/(-62)) is divided by k.
15
Let h(c) = c**3 - 2*c + 2. Let r be 3*-19*2/(-3). What is the remainder when -2 + r/4*2 is divided by h(2)?
5
Let g be 4/10 - 510/25. Let s = -1 - g. What is the remainder when 37 is divided by s?
18
Suppose h + 2 = -2*r, -h + 6 = r - 3*r. Let c(l) = -6*l**2 + 0*l**2 + h*l**2 + 3*l + 2 + l**3. What is the remainder when 26 is divided by c(4)?
12
Suppose 0 = 2*g - 9 - 5. Suppose -3*b - 2*b + 100 = 0. Suppose b = -0*a + a. What is the remainder when a is divided by g?
6
Let w(t) = 2*t**2 - 5*t - 7. Let a be w(5). Suppose 14*p - 45 = 9*p. Let n = a - p. Calculate the remainder when n is divided by 4.
1
Suppose -j = -14 - 1. Suppose 2*t = -2*u - 10, -7*u - t - 17 = -3*u. What is the remainder when 3 is divided by j/(-6)*u/5?
1
Calculate the remainder when 32 is divided by (4 - (-3 + -10)) + 2.
13
Let y be 3/(9*1/165). Let h = y - 39. What is the remainder when 44 is divided by h?
12
Let n = 39 - 19. Let j = 196 + -159. What is the remainder when j is divided by n?
17
Suppose -1 - 15 = -4*z. Suppose -4*f + 76 = z. Let m = -7 + 14. What is the remainder when f is divided by m?
4
Suppose -f + 2*c - 1 = 2, 4*f = 4*c - 8. What is the remainder when 8*-1*f + 1 is divided by 5?
4
Let r = 48 - 32. Calculate the remainder when r is d