ed by 13.
12
Let m(s) = -s**2 - 8*s - 2. Let y be m(-7). Suppose 5 = y*f - 140. Suppose 0*q + 3*u = 4*q - 49, 21 = 3*q + 3*u. Calculate the remainder when f is divided by q.
9
Suppose 3 - 8 = -5*p, -29 = 5*z + p. Let f(m) = m**2 + 2*m - 9. Calculate the remainder when 87 is divided by f(z).
12
Let f = 1 + 2. Suppose -f*p + 0 + 24 = 0. Suppose -55 = -m + 5*t, -3*m - 12 = 2*t - 92. Calculate the remainder when m is divided by p.
6
Suppose k - 34 = -18. What is the remainder when 28 is divided by k?
12
Suppose y = 113 - 93. What is the remainder when 51 is divided by y?
11
Let y(g) = -g**3 - 7*g**2 - 8*g + 3. Suppose 0*k = -2*k - 12. What is the remainder when 42 is divided by y(k)?
12
Let z(t) = -3*t - 52. What is the remainder when 83 is divided by z(-23)?
15
Let j(t) be the first derivative of 2*t**2 + 2*t + 1. Let x be 6/(-10) - 56/(-10). What is the remainder when j(x) is divided by 8?
6
Suppose -n - 27 = -4*n. Suppose k - h = -4*k + n, 0 = -4*h + 4. Let a = 0 + k. What is the remainder when 3 is divided by a?
1
Let b(a) = 4*a + 11. Let i(w) = 2*w + 6. Let u(q) = 3*b(q) - 5*i(q). Let m be u(-5). Let v = 25 + m. Calculate the remainder when 52 is divided by v.
16
Calculate the remainder when ((-65)/55 + 2/11)*-151 is divided by 22.
19
Suppose -5*w = -2*g - 60, 2*g - 2*w = -0*g - 48. Calculate the remainder when 37 is divided by 3/4 + (-365)/g.
18
Suppose -6*h = -10*h + 32. What is the remainder when 31 is divided by h?
7
Let a = 0 + 5. Suppose -a*q + 76 = -q. What is the remainder when q is divided by 10?
9
Suppose -3*c + 18 = -c. Suppose 0*a = -a + c. Let t(l) = l**2. What is the remainder when t(-5) is divided by a?
7
Let i(f) = -4*f + 18. What is the remainder when 88 is divided by i(-7)?
42
Let a = -15 + 12. Suppose h + h = 44. Let c = h - a. Calculate the remainder when c is divided by 7.
4
Suppose -l = -3, 3*u + 5*l - 21 = l. Let t(p) = -p - 13. Let b be t(-6). Let f = 14 + b. Calculate the remainder when f is divided by u.
1
Let c(k) = -k**2 + 14*k - 14. What is the remainder when 27 is divided by c(12)?
7
Let q = 114 - 71. Calculate the remainder when q is divided by 22.
21
Suppose 4*s = -5*t + 210, 5*t - s - 200 = -3*s. Calculate the remainder when t is divided by 14.
10
Let m be -1 + 4 + 2*-1. Calculate the remainder when 66 is divided by ((-2)/4)/(m/(-34)).
15
Let h = 37 + -30. What is the remainder when 72 is divided by h?
2
Let n(y) = 3*y + 13. Calculate the remainder when n(7) is divided by 9.
7
Let c(d) = -d + 13. Let k be c(7). Calculate the remainder when k/(-4)*(-120)/9 is divided by 7.
6
Let n = -69 + 49. Suppose 3*z - 6*a - 18 = -3*a, z + 18 = -5*a. What is the remainder when (-32)/n - (-2)/5 is divided by z?
0
Suppose -2*x - 4*q = -64, -4*q - 91 = -2*x + q. Let i = x + -27. Calculate the remainder when 20*1 - (-2 + 2) is divided by i.
9
Let a be 6/3 + -1 + -19. Let b = -4 - a. Let d = 43 + 11. What is the remainder when d is divided by b?
12
Suppose 0 = 2*y - 2*r, -6*r + 16 = y - 3*r. Suppose -3*a - 4*v + 8 = -5, 3*v = 3. What is the remainder when y is divided by a?
1
Suppose 120 = -2*o - 6. What is the remainder when 14 is divided by o/(-9) + (-2 - 0)?
4
Let q(c) = 5*c**2 - c + 1. Let f(a) = -7*a**3 - a. What is the remainder when q(-2) is divided by f(-1)?
7
Let v(m) = -m**3 - 3*m**2 + 3*m - 7. Let z be v(-5). Suppose -3*y + 8*y + 3*p = z, 0 = -3*y + 3*p + 12. What is the remainder when 18 is divided by y?
3
Let q = -60 + 90. What is the remainder when q is divided by 18?
12
Suppose o = 2*o - 46. What is the remainder when o is divided by 16?
14
Suppose -5*h + 16 + 9 = 0. What is the remainder when 23 is divided by h?
3
Let f = 1 + 1. What is the remainder when 3 - -2*(0 - -1) is divided by f?
1
Let u = -265 - -139. Let b = u + 182. What is the remainder when b is divided by (-2)/(-7) - 131/(-7)?
18
Suppose -2*a + 14 = -12. Suppose -10 = -3*j + 62. Suppose -2*n + j = m - 6*n, 0 = m - 2*n - 24. Calculate the remainder when m is divided by a.
11
Let t(h) = 2*h**2 - 3*h - 4. What is the remainder when 121 is divided by t(5)?
28
Suppose 4*g + 0*g = 0, 4*x + 2*g = 28. What is the remainder when x is divided by 4?
3
Suppose n - 30 + 10 = 0. Suppose 5*m - n = -0. Suppose 2*b + m*t - 5*t = 27, -4*b + 58 = 2*t. Calculate the remainder when 41 is divided by b.
13
Suppose -3*n - 2*n = -20. Suppose -4*r - 3*t = -2, r - 2 - n = 2*t. Suppose 6*l - 20 = r*l. Calculate the remainder when l is divided by 2.
1
Let p(i) = i**3 - 18*i**2 - 36*i - 23. Calculate the remainder when p(20) is divided by 12.
9
What is the remainder when 11 + -4 + (-10)/(-5) is divided by 3?
0
Let l(a) = 3*a. Calculate the remainder when 117 is divided by l(8).
21
Let q be 2*2/((-6)/(-3)). Let t be 2 + 0*(-1 + q). Suppose -t*w + 3*w - 41 = 0. What is the remainder when w is divided by 14?
13
Let t(q) = -3*q. Let i be t(-4). Calculate the remainder when 6 is divided by ((-3)/2)/((-9)/i).
0
Let u(n) = -n**3 + 12*n**2 - 16*n + 15. Let h be u(10). Suppose 0*c - 5*c = -h. What is the remainder when c is divided by 4?
3
Suppose -2*m = -m - 24. Calculate the remainder when m is divided by 14.
10
Suppose 0*n - 8 = -n. What is the remainder when 13 is divided by n?
5
Let n = 14 + -8. Suppose h - n*m - 4 = -2*m, 0 = -4*h - 2*m - 2. Calculate the remainder when 1*(h + -1 - -20) is divided by 7.
5
Let c(p) = -p**3 + 2*p + 2. What is the remainder when 21 is divided by c(-2)?
3
Suppose -3 = -t + 12. What is the remainder when 103 is divided by t?
13
Suppose 0 = -2*x + 28 + 6. Calculate the remainder when 49 is divided by x.
15
Calculate the remainder when (-81)/(-6)*8/6 is divided by 3.
0
Suppose -29 = -4*u - 5. Calculate the remainder when 10 is divided by u.
4
Suppose 3*n - 6 = 9. Let r(l) = -l**2 + 6*l + 2. What is the remainder when n is divided by r(6)?
1
Suppose 3*n = 5*n - 46. What is the remainder when n is divided by 2/2 - (9 - 20)?
11
Let n(r) = r**3 + 6*r**2 + 4*r + 7. Let h be n(-5). Suppose -16 = -2*v + h. Calculate the remainder when 40 is divided by v.
12
Let r(z) = z**3 - 7*z**2 + 7*z - 7. Let d be r(6). Suppose 4*j - 2 = 2*v, -4*j - 11 = 3*v - 8*j. Let f = d - v. Calculate the remainder when 15 is divided by f.
7
Let c(i) = i**3 - 3*i**2 + 2*i + 1. Suppose 2 - 1 = h. Suppose u - h = 2. Calculate the remainder when c(u) is divided by 4.
3
Let f(k) = -k**3 + 8*k**2 + 2*k + 5. Calculate the remainder when 83 is divided by f(8).
20
Let h(v) = -v**3 + 6*v**2 + 4. Let k be h(6). Suppose -r + k = -0*r. Suppose -62 - 14 = -r*n. What is the remainder when n is divided by 11?
8
Suppose -3*c - 75 = -8*c. Let l = -5 - -8. Let y(s) = 3*s**3 - 5*s**2 + 2*s + 1. What is the remainder when y(l) is divided by c?
13
Let w be (-60)/(-24)*4/5. What is the remainder when 42 is divided by -1*(-10 - (w + -1))?
9
Let l(v) = -v**3 - v**2 + 5*v + 7. What is the remainder when l(-4) is divided by 9?
8
Suppose -16*s + 255 = -11*s. What is the remainder when s is divided by 18?
15
Let q = 261 + -172. Suppose 3*s - 5*a - q = 0, -2*a = 3*a + 5. Suppose -2*m + 20 = -0*m. Calculate the remainder when s is divided by m.
8
Let y = 25 - 43. Let v = y + 36. What is the remainder when v is divided by (74/(-14))/(-1) + 2/(-7)?
3
Let h(x) = -33*x**3 - x**2. Let n(p) = p + 3. Let y be n(-4). Calculate the remainder when h(y) is divided by 11.
10
Calculate the remainder when -1*(-3140)/25 + 6/15 is divided by 32.
30
Suppose -4*h + 7*h = 195. Calculate the remainder when h is divided by 22.
21
Let x = 83 + -43. Suppose 0 = 3*f - 5*j - x, -2*f = -0*f - 3*j - 26. Let k = f - 5. Calculate the remainder when 14 is divided by k.
4
Let c = 4 + -2. Suppose f + 7 - c = 0. Calculate the remainder when 33 is divided by (-9)/f*(10 + -5).
6
Suppose -5*j + 15 = 0, -3*c - 4*j = -126 + 36. Let q = -5 - -12. Calculate the remainder when c is divided by q.
5
Suppose 7*g = 124 + 23. What is the remainder when 80 is divided by g?
17
Suppose 0 = 4*a - k - 2*k - 21, 23 = 3*a + 5*k. Suppose 4*y = y + 63. Calculate the remainder when 656/(-24)*a/(-4) is divided by y.
20
Let k(w) = -3*w - 6. Let h be k(-5). Suppose -11 = -2*i + h. Calculate the remainder when (-40)/140 + (-270)/(-14) is divided by i.
9
Let b be 0 - (-3 - (2 + -3)). Let d(g) = g - 4 - g**3 - g**3 + 2*g**2 + 0*g**b. Calculate the remainder when d(-3) is 