late the remainder when 32 is divided by t.
15
Let x(q) = -q**2 + 24*q + 46. Calculate the remainder when x(23) is divided by 20.
9
Suppose -16 - 8 = -2*y. Suppose -4*z + y = -3*z. What is the remainder when 22 is divided by z?
10
Suppose g = 15*g - 126. Suppose r - 32 = -r. Calculate the remainder when r is divided by g.
7
Let v = 6 - 2. Let n(r) be the third derivative of -r**4/24 + 7*r**3/6 + r**2. Calculate the remainder when n(-3) is divided by v.
2
Let q(o) = -o + 11. Let x be q(8). Suppose -5 = -2*v - x. Let m = v + 14. Calculate the remainder when 27 is divided by m.
12
Suppose r + 3*r = 36. Let v = 101 - 12. Let f = v + -54. What is the remainder when f is divided by r?
8
Suppose 3*g + 2*o - 101 = 0, 3*g = -g + 4*o + 128. Suppose -3*x + 5*q = -x - 19, q = x - 14. Calculate the remainder when g is divided by x.
16
Suppose 0 = 2*i - 7 - 7. What is the remainder when 25 is divided by i?
4
Suppose 0 = 4*i + 4*w - 212, 2*i - 3*w - 135 = -9. What is the remainder when 225 is divided by i?
54
Suppose z + 60 = 7*z. Calculate the remainder when z is divided by 4.
2
Suppose 0 = 2*u - 3 - 7. Let x(y) = -y + 5. Let q be x(u). Suppose 0 = 2*l - q*l - 52. Calculate the remainder when l is divided by 14.
12
Let o(a) = -a. Let q(z) = -3*z + 2. Let f(v) = 2*o(v) - q(v). Let n be f(2). Suppose 0*h + 3*h - 24 = n. What is the remainder when h is divided by 3?
2
Suppose -120 = -4*t + 4*s, 2*t + 2*s - 31 = 13. Suppose -9*n + 74 = 11. Calculate the remainder when t is divided by n.
5
Suppose 0 = -0*m + 3*m - 528. Let a = m + -120. What is the remainder when a is divided by 19?
18
Let j = -712 - -713. Calculate the remainder when (-2)/(-7) + (-5)/(-7) is divided by j.
0
What is the remainder when 37 is divided by ((-12)/(-3) - 5)*-10?
7
Suppose 20 = -0*d + 5*d. Suppose -r = d*w - 27, 0*r + 5*r - 15 = 0. Suppose 0 = 2*p - 12*p + 40. Calculate the remainder when w is divided by p.
2
Suppose 8*j - 3*j = 40. Let s(l) = l**3 - 9*l**2 + 12*l - 11. Calculate the remainder when 41 is divided by s(j).
20
Suppose -5*y + y = -64. Suppose -z + 6 = y. Let b(q) = -q + 1. Calculate the remainder when 42 is divided by b(z).
9
Calculate the remainder when 8/16 + 2/(4/105) is divided by 14.
11
Suppose -y + 3 = -u, 0 = 2*u - 0*u + 6. Suppose 12*j = 15*j - 33. Calculate the remainder when (y - -14)/((-2)/(-6)) is divided by j.
9
What is the remainder when 34 is divided by (-2 + -11*2)/(-2)?
10
Let t be ((-48)/40)/(6/(-40)). Let i = t - -3. Calculate the remainder when 41 is divided by i.
8
Suppose 0 = 3*j + 4*v - 83, -28 = -j + 3*v - 9. Calculate the remainder when j is divided by 7.
4
Let w(o) = o**2 - 5*o + 12. Calculate the remainder when w(8) is divided by 10.
6
Let k(l) = -l**2 - 7*l - 1. Let f be k(-6). Calculate the remainder when 1 - f*(0 + -16) is divided by 21.
18
Let i = 98 + -89. Suppose 4*u = 4, -4*r - 2*u + 118 = -0*r. Suppose r + 39 = 4*f. Calculate the remainder when f is divided by i.
8
Let k = -15 + 8. Let n(b) = 1 - 6*b**2 + 2 + 0 + 5*b - b**3. What is the remainder when n(k) is divided by 9?
8
Suppose 0 = -3*g - 4*l - 8, -3*l = -4*g + 4 + 2. Suppose g*n = -2*n + 36. What is the remainder when 2/4 + 105/2 is divided by n?
17
Suppose l - 233 = -4*l - 4*c, c + 3 = 0. Suppose -5*i = 26 - 111. Calculate the remainder when l is divided by i.
15
Suppose 0 = 5*a - 10, 3*a + 50 = 2*r + 7*a. Calculate the remainder when 38 is divided by r.
17
Suppose 0*u + 22 = 2*u - k, -2*k = 0. Calculate the remainder when u is divided by 6.
5
Suppose -198 = s - 4*s. Suppose 4*x = -30 + 82. Calculate the remainder when x is divided by s/10 - 2/(-5).
6
Let l be (-10)/3*(-54)/30. Suppose -4 = -4*s - 0. Calculate the remainder when ((-4)/3)/(l/(-9)) is divided by s.
0
Let y be (2 + 2)/((-4)/(-64)). Let b = 6 + y. What is the remainder when b is divided by 18?
16
Suppose 0 = 5*g + 4*x - 39, -g + 5*g + 4*x - 28 = 0. Calculate the remainder when (-5 + 3 + -2)*-8 is divided by g.
10
Let u(c) = -13*c - 86. Calculate the remainder when u(-9) is divided by 22.
9
Calculate the remainder when (0 - (-2 - -3))*-39 is divided by 14.
11
Suppose -4*a + 63 + 21 = -4*g, -3*a + 53 = 2*g. What is the remainder when 93 is divided by a?
17
Suppose -30 - 115 = -5*u. Calculate the remainder when 115 is divided by u.
28
Let u = 8 - 4. Suppose u*d - 2*h - 40 = 0, 7*d + 4*h - 63 = 2*d. What is the remainder when d is divided by 6?
5
Let r(j) = j**3 - 4*j**2 - 3*j - 6. What is the remainder when 15 is divided by r(5)?
3
Let q be (-124)/(-6) + 4/(-6). Suppose -2*m + q = -0*m. Calculate the remainder when ((-42)/(-8))/((-6)/(-32)) is divided by m.
8
Suppose -2*k + w - 2 = -3*w, 0 = -k + 3*w - 4. Suppose 4*q - 28 = 2*q - 5*n, k*q + 4*n = 87. Calculate the remainder when 53 is divided by q.
15
Suppose a - f = -4*f + 4, 0 = 3*f. What is the remainder when 4 is divided by a?
0
Let t(d) = -13*d - 45. Calculate the remainder when t(-7) is divided by 100/6 - 6/9.
14
Calculate the remainder when (-33)/((-3)/4*2) is divided by 2 - (-7 - 1 - 2).
10
Suppose -4*j + 220 = 5*n, -3*j + 2*n = -n - 138. Suppose 3*u - j = -2*u. Calculate the remainder when 27 is divided by u.
7
Let u = 0 + 9. Suppose y = -5*z - 395, -z + 3 - 98 = -3*y. Let s = -55 - z. What is the remainder when s is divided by u?
7
Suppose -147 = -8*c - 3. Calculate the remainder when 35 is divided by c.
17
Suppose 0*o + 5*h = o - 70, -5*o - 2*h = -323. Let b(j) = -17*j + 5. What is the remainder when o is divided by b(-1)?
21
Let p = 29 + -16. Suppose 0 = 3*w + 3*k - 15, 4*w + 3*k = 25 - 3. Let t = -2 + w. What is the remainder when p is divided by t?
3
Let v = 8 + -6. Calculate the remainder when 3/((-9)/(-114)) + v is divided by 21.
19
Suppose 4*x - 16 = -0*x, -110 = -2*a - 4*x. What is the remainder when a is divided by 18?
11
Suppose -9 - 3 = -3*o. Calculate the remainder when o is divided by 3.
1
Let h(d) = 3*d - 25. What is the remainder when 17 is divided by h(10)?
2
Calculate the remainder when (108/42)/((-2)/(-28)) is divided by 13.
10
Suppose -300 = -5*z - 5*t, -4*z = 5*t + 155 - 397. Calculate the remainder when z is divided by 12.
10
Let y = 21 + -18. Calculate the remainder when 5 is divided by y.
2
Let j = -32 + 60. Calculate the remainder when j is divided by 15.
13
Let a(c) = 173*c - 13. What is the remainder when a(1) is divided by 23?
22
Let r be (-2)/(-7) - 770/(-49). What is the remainder when 228/r + (-9)/(-12) is divided by 9?
6
Let i(k) = -k + 6. Let x be i(5). Suppose -8 = -l - x. Let p(j) = 4*j**3 - j**2 + 2*j - 1. Calculate the remainder when l is divided by p(1).
3
Let l(a) be the third derivative of a**4/24 - 7*a**3/6 + 6*a**2. Calculate the remainder when 5 is divided by l(10).
2
Let n(r) = -r - 2. Let c be n(7). Let f be 6/(-4)*24/c. Suppose -f*t = -8 - 8. What is the remainder when 6 is divided by t?
2
Let q = -7 + 8. What is the remainder when 13 is divided by (-1 - q)*8/(-2)?
5
Let n be 1*(-3 - 21/(-3)). Let g = 4 + -3. Let d = n + g. Calculate the remainder when 8 is divided by d.
3
Let w(c) = 2*c - 1. Suppose -2*j + 20 = 2*j. Suppose -3*g = -4*l + 8, -2*g - l + 18 = l. What is the remainder when w(j) is divided by g?
1
Let b = 110 + -63. Let s = -68 + 78. Calculate the remainder when b is divided by s.
7
Suppose -5*v - 12 = -6*v. Let j(d) be the third derivative of d**4/3 + d**3/2 + 3*d**2. Calculate the remainder when j(4) is divided by v.
11
Let g(n) = 4*n**3 - 2*n**2 - 2. Let h be g(2). Let t = h - 19. What is the remainder when 5 is divided by t?
2
Let s be 2/11 - (-2350)/22. Let n = s - 70. What is the remainder when n is divided by 10?
7
Let l = -8 - -11. Let y = 10 - 5. Suppose -y*q + q - g = -32, l*q - 5*g - 24 = 0. What is the remainder when 15 is divided by q?
7
Suppose -i + 5*x + 53 = i, 3*x + 9 = 0. Let t = -10 - -15. Calculate the remainder when i is divided by t.
4
Let f = 8 + -4. Suppose -2*a = -4*l + 20, -l + 20 - 8 = -4*a. Let g = a + f. What is the remainder when 4 is divided by g?
0
Calculate the remainder when 55 is divided by (-20)/(-6)*(-6 + 12 - 0).
15
Suppose -5*y + 12 + 8 = 0. Suppose i + 64 = 4*t, 2*t - y*i + 80 = 7*t. Suppose 6*n = 108 + 168. Calculate the remainder when n is divided by t.
14
Let r = 20 + -22. Let q = 32 - 13. What is the remainder when r/3*555/(-10) is divided by q?
18
Let i be