y(-6) is divided by l.
17
Let q = 396 + -392. Let o(f) = 1 - f - 2 - 3*f. Calculate the remainder when q is divided by o(-1).
1
Suppose 0*o - 5*o + 105 = -5*y, -4*y - 107 = -5*o. Suppose -5*t + 44 = 14. Calculate the remainder when o is divided by 153/12 - t/8.
11
Let c be -2*(2 - 4) + -2. Calculate the remainder when 11 - (2/c + 2) is divided by 3.
2
Suppose 0 = 6*v - 2*v - 3*d - 68, 3*d + 51 = 3*v. Suppose 0 = -k + 63 + 3. Suppose k = -n + 3*n. Calculate the remainder when n is divided by v.
16
Let n = -1 + 8. Suppose -5*q = -n - 58. What is the remainder when 25 is divided by q?
12
Suppose 4 = -l + 16. Calculate the remainder when 47 is divided by l.
11
Let p be 2/8 - 130/40. Let u = -21 + 13. Let o = p - u. What is the remainder when 19 is divided by o?
4
Let d(z) = z**3 - 3*z**2 - 6*z - 1. What is the remainder when 36 is divided by d(5)?
17
Let q = 0 + 1. Let l be -1*(1 - q) - -128. Suppose -l = -4*b + 8. Calculate the remainder when b is divided by 12.
10
Suppose 4*u + 1332 = 10*u. Calculate the remainder when u is divided by 32.
30
What is the remainder when 3/5 - (-2736)/40 is divided by 18?
15
Suppose -2 = -2*p + 44. Let k(b) = b**2 - 6*b - 8. Suppose 3*c - 24 = -i + 3*i, -5*i = -c + 8. Calculate the remainder when p is divided by k(c).
7
Let h(v) = 2*v**2 - 5*v - 7. Let m = -8 - -13. What is the remainder when -39*1*(-8)/6 is divided by h(m)?
16
Let p(f) = -f**3 - 6*f**2 + 5*f - 4. What is the remainder when 89 is divided by p(-7)?
9
Let f(m) = 6*m**2 + 3 + 0*m**3 - m**3 - m + 2. Let v(b) = -b + 6. What is the remainder when f(5) is divided by v(-7)?
12
Let z(i) = i**3 - 22*i**2 + 40*i - 16. Let v be z(20). Let s(g) = 8*g - 2. Let t be s(3). Let u = t + v. Calculate the remainder when 10 is divided by u.
4
Suppose h + 41 = 103. Calculate the remainder when h is divided by 22.
18
Suppose -47*q = -46*q - 73. Calculate the remainder when q is divided by 15.
13
Let w(u) be the first derivative of u**3/3 - u**2/2 - 7*u + 2. Let r(f) = 5*f + 2. What is the remainder when w(-6) is divided by r(2)?
11
Let m(a) = a**2 + 6*a - 10. Let k be m(-8). Let u(v) = 17*v + 2. Let w be u(k). Suppose r = -r + w. What is the remainder when r is divided by 18?
16
Suppose -5*x - 15 = 0, 2*x + 2*x = -5*a + 113. What is the remainder when a is divided by 7?
4
Let q(s) = -s**2 + 40. Let p be q(0). Suppose -25 = 4*i - 9*i. What is the remainder when (24/20)/(6/p) is divided by i?
3
Let i(a) = a**2 - a - 1. What is the remainder when 34 + (-3 - -3) - 3 is divided by i(-3)?
9
Suppose -2*x = -23 + 7. Suppose -3*i = -x*i + 175. Suppose -q = q - 24. Calculate the remainder when i is divided by q.
11
Let j = 0 + 3. Suppose j*p + p = 108. Suppose -2*c - 38 = -3*r + 3*c, 5*c = 2*r - p. What is the remainder when 20 is divided by r?
9
Let h(m) = 33*m**2 + 1. Let l be h(-1). Suppose -3*t + l = -t. Suppose -23 = 5*y - 68. Calculate the remainder when t is divided by y.
8
Let x = 2 - -10. What is the remainder when x is divided by 8/12 + (-57)/(-9)?
5
Suppose -2*o = -4*o + 14. What is the remainder when 12 is divided by o?
5
Let g be (-137)/(-4) + 2/(-8). Let z = 16 - g. Let h = z + 26. What is the remainder when h is divided by 3?
2
Let b = 11 - 8. Suppose 4*x = -2*o + 72, x - b*o - 11 - 7 = 0. Calculate the remainder when x is divided by 10.
8
Let s = 8 + 0. Let b = 21 - 6. Calculate the remainder when b is divided by s.
7
Suppose 4*m - 18 = -2. Let d(z) = 3*z - 5. Suppose -22 = -5*h - 2, 3*a = 2*h + 7. Calculate the remainder when d(m) is divided by a.
2
Let x = -9 - -11. Suppose 0 = x*q + 2*q - 168. What is the remainder when q is divided by 11?
9
Suppose 0 = -5*o - 5*z + 140 + 50, o - 2*z = 44. Suppose -6*q + o = -q. Let s = -5 + 8. What is the remainder when q is divided by s?
2
Calculate the remainder when 24 is divided by (16 - 4) + (-2)/(-2).
11
Let d = -36 - -49. Let m be ((-62)/(-4))/(1/4). Suppose -l + f + 77 = 2*l, -2*f + m = 3*l. What is the remainder when l is divided by d?
11
Suppose 2*x + 25 = 3*x. Let z = x + -14. What is the remainder when z is divided by 6?
5
Let z(d) = 3*d - 3*d - 5*d - 4 + 2*d - 4*d**2 - d**3. Calculate the remainder when z(-4) is divided by 3.
2
Let c = -3 + 11. Let j(a) = -a + 8. Let r be j(c). Suppose 0 = -3*p - r*p + 39. What is the remainder when p is divided by 7?
6
Let k(w) be the second derivative of w**4/4 + w**3/3 - 7*w**2/2 - 7*w. Calculate the remainder when k(3) is divided by 14.
12
Let a(c) = c + 1. What is the remainder when 6 is divided by a(1)?
0
What is the remainder when 198 is divided by (-1 + 14/4)/((-11)/(-220))?
48
Suppose -o + 0*o + 25 = 0. What is the remainder when 48 is divided by o?
23
Suppose -21 = 5*l + 4, 4*v - 18 = 2*l. Suppose 2*m + 0 - 4 = 0. Calculate the remainder when v is divided by m.
0
Let t = -54 + 32. Let o = -10 - t. What is the remainder when o is divided by 7?
5
Let o(n) be the third derivative of -n**6/6 - n**4/12 - n**3/6 + 2*n**2. What is the remainder when 61 is divided by o(-1)?
19
Let q(c) = 16*c**2 + 2*c - 1. Let l be q(1). Let d = 4 + l. Suppose 4 = 2*u - 2, 4*u + 293 = 5*s. What is the remainder when s is divided by d?
19
Let s = -227 + 130. Let h = -89 - -35. Let o = h - s. Calculate the remainder when o is divided by 15.
13
Suppose 9*g - 190 = 4*g. What is the remainder when 74 is divided by g?
36
Let u = 7 + -5. Suppose -2*f - u*f + t = -226, -3*t + 218 = 4*f. What is the remainder when f is divided by 15?
11
Suppose -2*n = 2*n - 5*m - 124, 0 = 3*m. Calculate the remainder when 60 is divided by n.
29
Suppose -4*n - 4*t = -136, n - 4*t = -4*n + 134. Let r = n + -15. What is the remainder when 44 is divided by r?
14
Let o(l) = -16*l + 1. Let u(h) = -h**2 + 6*h - 5. Let k be u(4). Suppose -2 = k*j + 1. What is the remainder when o(j) is divided by 6?
5
Suppose -2*y = 4, 6*n = n + 4*y + 13. What is the remainder when (-2)/10 - 24/(-20) is divided by n?
0
Let m(b) = 3*b**2 + 2*b - b**3 + 0 + 1 - 1. Suppose -f - 3 + 1 = 0. What is the remainder when m(f) is divided by 6?
4
Let a = -5 - -7. Suppose 3*x + 2 = a*n, 0*n + 3*n = 5*x + 3. Let m(g) = -g**2 - g + 7. What is the remainder when 13 is divided by m(x)?
6
Let l(s) = -3*s + 6*s**2 + 5 + 0*s + s**3 + s. Suppose 0*q - 42 = -3*q. Calculate the remainder when l(-5) is divided by q.
12
Suppose 2*h - 1 - 9 = -4*a, a + 5*h = -11. Suppose 0 = 4*s - 9 - 27. Suppose s = -n - 3*k, -n - 3 = n + 3*k. Calculate the remainder when n is divided by a.
2
Let v = 73 - 51. What is the remainder when 87 is divided by v?
21
Suppose 4*m - 7 = -3. What is the remainder when (m/2)/(3/18) is divided by 2?
1
Suppose 0 = 2*i - 1 - 5. Let s = 6 - i. Suppose -2*t = -t - s. What is the remainder when t is divided by 1?
0
Let w(f) = -f**3 - 5*f**2 - 10*f - 2. What is the remainder when w(-3) is divided by 14/3 + (-2)/3?
2
Let o(h) = h**3 - 13*h**2 - 10*h + 11. Calculate the remainder when o(14) is divided by 34.
33
Suppose 6*p - p - 135 = 5*v, 2*p - 66 = -4*v. Calculate the remainder when p is divided by (39/15 - 3) + 52/5.
9
Let y = 37 + -19. Calculate the remainder when 30 is divided by y.
12
Let c = 52 - 29. Calculate the remainder when c is divided by 5.
3
Suppose -2*s + s = -4. Suppose 65 = s*x - 99. Calculate the remainder when x is divided by 11.
8
Suppose 0 = -5*y + 22 + 18. What is the remainder when 15 is divided by y?
7
Let j be (-2)/8 - 27/(-12). Suppose j*v - 64 = 30. What is the remainder when v is divided by 16?
15
Let r = 16 - -37. Let i = 10 + 20. Suppose -i = -4*j + 42. Calculate the remainder when r is divided by j.
17
Let p = 3 + 11. What is the remainder when 23 is divided by p?
9
Let l(w) = w**3 - 10*w**2 + 15*w - 2. Let n be l(10). Suppose -7*m + n = -3*m. Suppose 7*v - 52 = 3*v. Calculate the remainder when m is divided by v.
11
Let a = -6 - -9. Suppose -a*h - 12 + 48 = 0. What is the remainder when h is divided by 7?
5
Suppose -z + 24 = -43. Suppose -v + 153 = 8*v. What is the remainder when z is divided by v?
16
Let w = -1 + 7. Let v(q) = -2*q + 1. What is the remainder when v(-5) is divided by w?
5
Let c(k) = k + 9. Let p be c(-7). Let m be p + -2 + 1 + 2. Suppose m*z - 132 = -z. Calculate the remainder when z is divided by 17.
16
Suppose a - 53 = -16. Calculate the remainder when 144 is divided by a.
33
Suppose -3*h - 5 = -4*h. S