
Let s(v) = v**3 + 4*v**2 - 6*v. Let n be s(-5). Suppose -5*g + 55 = n*h, -2 - 16 = -2*g - 4*h. Calculate the remainder when 23 is divided by g.
10
Let h = -3 + 37. Suppose 0 = c - 2*c + 5, -3*k + c = -31. What is the remainder when h is divided by k?
10
Let s(l) = l**2 + 14*l - 14. Calculate the remainder when s(-18) is divided by 12.
10
Let c(d) = 4*d**2 - 3*d + 2. Let z be c(1). Suppose 5*y - 41 = -z*x + 44, -3*x = 3*y - 81. What is the remainder when 99 is divided by x?
24
Let g(n) be the third derivative of n**5/30 - n**4/4 + n**3/2 - 3*n**2. What is the remainder when g(6) is divided by 10?
9
Suppose 2 + 8 = -5*n. Let m = 5 + n. Suppose 2*f + 49 = w + f, -f + 127 = m*w. What is the remainder when w is divided by 15?
14
What is the remainder when ((-24)/14)/((-42)/1029) is divided by 15?
12
Suppose 24 = 3*k - 0*k. Let d(u) = -3*u + 1. Let g be d(-5). Calculate the remainder when 28*2/(g/4) is divided by k.
6
Let j(m) = -m**2 + 6*m - 3. Let t = 24 + -7. What is the remainder when t is divided by j(3)?
5
Suppose -4*w + 19 = 5*g - 6*g, -2*w = -g - 7. Let p = 11 + -7. Let b = 13 + p. What is the remainder when b is divided by w?
5
Suppose 3*p + 2 = 2*q, -5*q + 20 = -q - 2*p. Suppose -4*u - j - j + 22 = 0, 4 = 4*j. Calculate the remainder when q is divided by u.
2
Let r(w) = w**3 - 6*w**2 + w - 6. Let a be r(6). Suppose -c + 0*c + 6 = a. What is the remainder when c is divided by 4?
2
Let f = 241 + -122. Calculate the remainder when f is divided by 12.
11
Suppose 0 = l + v - 6, 0 = -3*l - v + 8 + 2. Suppose -1 = -l*o + 3. Calculate the remainder when o is divided by 1.
0
Let k be 1*1/((-2)/(-12)). Let i(h) be the third derivative of h**4/24 + h**3/2 + 2*h**2. What is the remainder when 17 is divided by i(k)?
8
Let l = -21 - -36. Suppose -2*t + 6*t + m + 5 = 0, m = -1. What is the remainder when l is divided by -2 + (21 + t)/2?
7
Let x(t) = -t**2 - 1. Let y(s) = 6*s + 8. Let i(q) = x(q) + y(q). Suppose -2*k + 5 + 3 = l, 10 = -k - 4*l. Calculate the remainder when i(k) is divided by 3.
1
Let z(l) = -l**3 + 4*l**2 - 4*l + 2. Let q = -3 + 5. What is the remainder when 86/18 + 6/27 is divided by z(q)?
1
Let u = -14 - -33. Suppose 5*s - 211 = 59. What is the remainder when s is divided by u?
16
Suppose 3*f - 4 = -2*b + f, 0 = 2*b - 2*f. What is the remainder when 6/4*(-24)/(-18) is divided by b?
0
Let a(o) = 10*o**2 + 4*o - 3. What is the remainder when a(-4) is divided by 24?
21
Suppose 0*w - 5*w = -140. What is the remainder when 109 is divided by w?
25
Let b(h) = -h**3 + 8*h**2 - 8*h + 7. Let p be b(7). Suppose p = -3*v + 4*v - 8. Let q(w) = -w + 11. What is the remainder when v is divided by q(6)?
3
Suppose 3*s = -3*c + 33, -1 = 2*c + 1. Suppose -s = 9*j - 13*j. Calculate the remainder when 8 is divided by j.
2
Let v(l) = l + 17. Let y be v(-13). Suppose 3*z = 7*f - 2*f + y, 3*z - 2*f = 7. Calculate the remainder when 4 is divided by z.
1
Suppose -f = 2*d + 2*d - 24, -5*f + 4*d + 72 = 0. Let a = f + -5. What is the remainder when 0 + a - (2 - 2) is divided by 6?
5
Let i(b) = -40*b - 3. Let u be i(-3). Suppose u = 4*p + 9. What is the remainder when p is divided by 14?
13
Calculate the remainder when 4/(((-2)/4)/(-1)) is divided by (-8)/4 - -5 - -2.
3
Let b(f) = -7 + 2 - 7 + 9*f + 2. Let w(z) = -6*z + 7. Let m(y) = 5*b(y) + 7*w(y). Calculate the remainder when m(10) is divided by 10.
9
Let m be (-1)/(-3) - (-5)/3. Suppose m*n + 80 = 6*n. Let q = n + -11. Calculate the remainder when 26 is divided by q.
8
Let a(o) = -o**3 + 6*o**2 - 2*o - 1. Suppose -8 = -f - f. Let b = 4 + f. What is the remainder when a(4) is divided by b?
7
Let l(u) = -u - 4. Let n be l(-6). Let j be (-12)/(-9)*(-9)/n. What is the remainder when 4 is divided by 2/(j/(-3)) - -1?
0
Let f be 1/(2/(2 + 0)). Let g = -2 + 6. Let n = g - f. What is the remainder when 5 is divided by n?
2
Let b(o) = -3*o - 1. Let u = 5 - 3. Let w be b(u). Let t = -1 - w. Calculate the remainder when t is divided by 4.
2
Suppose -5*l + 11 = -3*p - 32, -2*p = -5*l + 42. What is the remainder when 19 is divided by l?
3
Suppose 3 = -4*g + 31. Calculate the remainder when 25 is divided by g.
4
Suppose -36 + 6 = -x + 3*t, -2*t - 125 = -3*x. Let k = 68 - x. What is the remainder when 45 is divided by k?
22
Let f(l) = -3*l - 3. Calculate the remainder when f(-2) is divided by (-15)/(-7) + 2/(-14).
1
Let y = -71 - -110. Let j(q) = q**3 + 7*q**2 - 13*q - 10. Let n be j(-8). Suppose 0 = -4*x + x + n. What is the remainder when y is divided by x?
9
Let b(h) = -h**3 + 9*h**2 + 5*h - 1. Calculate the remainder when b(7) is divided by 34.
30
Suppose 4*o + t - 76 = 0, 0 = -o - 5*t + 19 - 0. What is the remainder when o is divided by 10?
9
Let p = 36 - 29. Let y(l) = -3*l + 3. Calculate the remainder when y(-3) is divided by p.
5
Let p = 3 - -23. Suppose -6*h - 10 = 5*x - h, 2*x - 4*h - p = 0. Suppose d + 3*j - 20 = -j, -j = -x. What is the remainder when d is divided by 3?
2
Let q be 2/(-5) + 32/5. Let k be (-3)/(q/4) + 4. Suppose f = 5*p - 83, -p = -f - k*f - 25. What is the remainder when 29 is divided by p?
13
Let f(l) = l - 9. Let j be f(5). Let n = j + 27. Calculate the remainder when n is divided by 13.
10
Suppose 4*j - 2*j = -20. What is the remainder when (-6)/5*j/4 is divided by 3?
0
Let d = 150 - 100. What is the remainder when d is divided by 17?
16
Let m be 25 + 0 + 0 + 1. Suppose 21*a - 325 = 8*a. Calculate the remainder when a is divided by (m/(-8))/(3/(-12)).
12
Let r(i) = -i**3 - 5*i**2 - 4*i - 1. Let q be r(-4). Let g be 4/(-8)*(-4)/q. Let x(y) = y**2 - 2*y - 3. What is the remainder when 9 is divided by x(g)?
4
What is the remainder when 38 is divided by 3 + 4 + 9/3?
8
Let m(a) = 4*a**2 - 4*a + 2. Let n(g) = -9*g + 4*g**2 + g**2 + 6 - 6*g**2. Calculate the remainder when m(3) is divided by n(-8).
12
Suppose 54 = -z - 61. Let j = -65 - z. Let y = -36 - -53. Calculate the remainder when j is divided by y.
16
Let k = -1 - -2. Let r be k/(-3*3/(-270)). Suppose 3*n + m - 7 = -3*m, -5*m = -4*n + r. What is the remainder when 9 is divided by n?
4
Let j(o) = -4*o - o - 4 + 3. Calculate the remainder when 27 is divided by j(-3).
13
Let w = 7 + -6. Calculate the remainder when 3 is divided by w.
0
Let a(s) = s - 10. Let y be a(5). Let x(u) = -u**2 - 11*u + 5. What is the remainder when x(y) is divided by 19?
16
Suppose 5*q - 4*w + 0*w = -5, -4*q + 2 = -2*w. Calculate the remainder when 50 is divided by (1 + q/(-2))*-52.
24
Suppose -2*i + 5*z = 28 + 6, 0 = -5*i - 3*z - 23. Let b = 23 + i. Calculate the remainder when b is divided by 6.
4
Suppose -4*z = -4, 0 = -o - o + 3*z + 39. Calculate the remainder when o is divided by -1 - ((-1767)/133 - (-4)/14).
9
Let b(m) = m**2 - 8*m + 15. Let n(k) = 21*k - 4. What is the remainder when n(3) is divided by b(8)?
14
Suppose -5*d + 30 = -z, 5*z + d - 3 = -49. Let o = 17 + z. Suppose -3 = 3*u - 4*k, -2*u + 0*k = -k - 3. What is the remainder when o is divided by u?
1
Suppose 856 = -93*w + 97*w. What is the remainder when w is divided by 43?
42
Suppose 3*k = -4*o + 42, -5*k = 3*o - o - 28. Suppose 0 = b + 2, -3*t + 2*b - 9 = -91. What is the remainder when t is divided by o?
8
Let t = -27 - -10. Let k = t + 30. What is the remainder when k is divided by 8?
5
Let r be 1 + 385 + (-2 - 0). Suppose 0 = 4*u - r - 548. Suppose i - u = -5*y - 0*i, 3*i - 88 = -2*y. Calculate the remainder when y is divided by 16.
15
Suppose 0 = -0*q + 3*q + 30. Calculate the remainder when 1 + (-506)/(-10) + (-2)/(-5) is divided by ((-36)/q)/((-1)/(-5)).
16
Let g be (18/4)/((-3)/(-18)). Let a = 8 - -4. Calculate the remainder when (-4)/18 - (-573)/g is divided by a.
9
Let h = -1 + 1. Suppose -60 = -12*q - 3*q. Suppose -q*r + v + 53 + 27 = h, -2*r - v + 46 = 0. Calculate the remainder when r is divided by 6.
3
Suppose -l + 53 = -0*l. Calculate the remainder when l is divided by 18.
17
Let b = -129 + 148. Calculate the remainder when 49 is divided by b.
11
Let a = 68 - 35. What is the remainder when a is divided by 12?
9
Let l(i) = i**2 - 2*i + 3. Let q be 28/6 + (-6)/9. What is the remainder when 21 is divided by l(q)?
10
Let y = 24 + -12. Calculate the remainder when y/(-18) + 173/3 is divided by 15.
12
Let f = 4 - 1. Suppose 13*c = 44 + 99. Calculate the remainder when c is divided by f.
2
Su