8).
9
Let v(t) = -2*t**3 + 2*t**2 - 2*t + 3. Let m be v(2). Let f(j) = j**2 - 11*j - 3. Let i be f(8). Let c = m - i. What is the remainder when 52 is divided by c?
16
Suppose -116*g + 40 = -115*g. What is the remainder when g is divided by 7?
5
Suppose -1 = 3*l - 46. Suppose -3*t - 2*b = -83, 4 = 2*b + 2. Calculate the remainder when t is divided by l.
12
Let h be 11/2*(-2)/(-1). Suppose -2*r + 41 + h = 0. What is the remainder when r is divided by 14?
12
Suppose 3*w - 4*w + 76 = 0. Let b = w - 30. Let n = -17 + b. What is the remainder when n is divided by 10?
9
Let w be (-2)/(-3)*(-18)/3. Let z(c) = -19*c - 3. What is the remainder when z(w) is divided by 19?
16
Suppose 2*b - 4 = 5*u, -5*b + 3*b + 4 = 3*u. Let y(p) = 3*p**2 - 2*p + 1. Calculate the remainder when y(b) is divided by 6.
3
What is the remainder when 69 is divided by (-182)/(-8) + -3 + 12/(-16)?
12
Suppose 48 = 4*w + 4*o, o = -0*o - 3. Let g = -2 + w. What is the remainder when g is divided by 8?
5
Suppose -11 = -h - 3*j + 20, 3*j = 3. Let t(a) = a**3 - 2*a**2 + a - 2. Calculate the remainder when h is divided by t(3).
8
Let n(u) = -5*u + 10. Let f be n(-6). Let o = 78 - f. Calculate the remainder when o is divided by 13.
12
Let o = 59 - 30. What is the remainder when o is divided by 10?
9
Suppose -4 + 28 = 4*k. Suppose -k*p + 4*p + 5*z + 51 = 0, 4*p + 3*z = 37. Calculate the remainder when p is divided by 8.
5
Let m = 39 + -31. Suppose -28 = -2*k - 2*f, 4*k + 7*f - 4*f = 57. What is the remainder when k is divided by m?
7
Suppose -y = 3*s + 2, 3*s = -2*y - s + 4. Calculate the remainder when y is divided by 7.
3
Let g(d) = -d**3 - 3*d**2 - 2*d + 2. Let y be ((-2)/3)/((-5)/(-15)). Let u be g(y). Suppose u*w + 0 = 42. What is the remainder when 61 is divided by w?
19
Suppose 13*n - 137 - 32 = 0. Calculate the remainder when 48 is divided by n.
9
Suppose 2*t + 2*x = -2, 2*t - 19 = t - 5*x. What is the remainder when 2 is divided by 7 + t + (-1 - -2)?
0
Suppose l + l = -z - 13, 4*l - 2*z + 6 = 0. Let t = -8 + 29. Calculate the remainder when t is divided by 2*5 + l/(-4).
10
Let o = 3 - -6. Suppose 4*y - 11 = -h, -5*y + 5 = h - o. Calculate the remainder when 4 is divided by y.
1
Let m be (-26)/(-10) + 6/(-10). Let o(r) = 5*r**3 + 3*r**2 - 3*r + 3. Calculate the remainder when o(m) is divided by 17.
15
Let z(r) = r**3 - 8*r**2 + 8*r - 4. Suppose 0 = 3*m + o - 27, 4*m + 14*o = 19*o + 17. What is the remainder when m is divided by z(7)?
2
Let b(u) = -22*u**3 + 2*u**2 + 2*u + 1. What is the remainder when 43 is divided by b(-1)?
20
Let t = 23 + -9. Calculate the remainder when (-54 - -1)*(5 + -6) is divided by t.
11
Suppose 2*k = -0*k. Suppose 4*w - 23 = -3*j - k, 0 = -5*w - 20. Let o = -38 - -75. Calculate the remainder when o is divided by j.
11
Let r = -12 + 7. Let w = 1 + 0. Calculate the remainder when 32 is divided by 15*w - (3 + r).
15
Suppose 96 + 109 = 5*q. Calculate the remainder when 161 is divided by q.
38
Let i(k) = -7*k - 6. What is the remainder when i(-7) is divided by 15?
13
Suppose 0 = -10*r + 1155 - 455. Calculate the remainder when r is divided by 8.
6
Let l = 1 + 1. Suppose -120 = -l*g - 2*g. What is the remainder when g is divided by 11?
8
Suppose -6*x = -11*x + 85. What is the remainder when 80 is divided by x?
12
Suppose 7*l + 20 = 104. Calculate the remainder when 32 is divided by l.
8
What is the remainder when 12 is divided by (-6)/4*40/(-12)?
2
Let d = 25 + 14. Calculate the remainder when d is divided by 10.
9
Let r = 72 + -48. What is the remainder when 166 is divided by r?
22
Let m be (-6)/9 - (-2)/3. Suppose -q + k + 41 = 0, -3*k = q - m*q - 49. What is the remainder when q is divided by 15?
13
Suppose 2*n - 4*a = 48, 4*n + a - 37 - 77 = 0. Suppose 0 = -0*o - 4*o - 4*h + 16, h = -5*o + n. What is the remainder when o is divided by 3?
0
Let c = 18 + 9. Calculate the remainder when 52 is divided by c.
25
Let n(d) = d**3 + 7*d**2 - 4*d - 10. What is the remainder when n(-7) is divided by 219/21 - (-3)/(-7)?
8
Let h = -6 - -10. Suppose 2*m - 40 = 4*t, -h*t = 2*m - 0*t. What is the remainder when 29 is divided by m?
9
Let y(a) = 4*a**2 + 3*a + 2. Suppose 4*x = 7*x + 6. What is the remainder when y(x) is divided by 7?
5
Let y = -104 - -54. Suppose 4*n + 0*n = l - 58, -216 = -3*l - 2*n. Let f = y + l. What is the remainder when 59 is divided by f?
19
Suppose 3*v - n - 10 = 0, -v + 5*n - 10 = -6*v. Suppose -t + 63 = 4*x, v*x - 2*t = -t + 56. Calculate the remainder when 50 is divided by x.
16
Let p = 5 - 2. Let m(f) = -f + p*f**2 + f + 1. Calculate the remainder when m(1) is divided by 2.
0
Suppose 0 = -2*a - 5*q + q + 26, 2*a + 2*q - 22 = 0. Let f be 38/(-4)*(5 - 3). Let l = f - -35. What is the remainder when l is divided by a?
7
Let d(y) = 11*y**3 - 16*y**2 - 3*y - 3. Let x(r) = -5*r**3 + 8*r**2 + r + 2. Let l(m) = 4*d(m) + 9*x(m). Calculate the remainder when l(7) is divided by 12.
10
Suppose 0*f - 4*f = 4. Let i = 24 - f. What is the remainder when i is divided by 2/4 - (-25)/2?
12
Let m = 19 - -12. Suppose -o - 16 = -2*o. What is the remainder when m is divided by o?
15
Suppose 4*n - 116 = 4*r, -2*n + 2*r + 3*r + 55 = 0. Suppose w - 3*w = -32. What is the remainder when n is divided by w?
14
Let w(c) = 4 - 3 - c**2 + 5*c + 0*c**2 + 0*c**2. Let o = 2 - -1. Calculate the remainder when w(3) is divided by o.
1
Let g be 10/(-65) - 4/(-26). Suppose -10 = -2*h - g*h - 2*b, 4*b + 16 = 2*h. Let f(s) = 7*s - 3. Calculate the remainder when f(2) is divided by h.
5
Let x = 16 + -10. Let g(k) = 7*k - 1. Let d be g(1). What is the remainder when (d/(-8))/((-1)/20) is divided by x?
3
Let a(z) = 4*z**2 - 4*z + 7. Calculate the remainder when a(3) is divided by 11.
9
Suppose -13*x - 54 = -19*x. What is the remainder when 52 is divided by x?
7
Calculate the remainder when (-4 + 5 + 0)*41 is divided by 11.
8
What is the remainder when 14 is divided by (-58)/(-7) - (30/(-21))/(-5)?
6
Let a = -3 - -9. Suppose -4*q + a = -q. Suppose -2*u + 4*u = 4. Calculate the remainder when u is divided by q.
0
Let l(v) = -2*v - 3. Suppose -2*i = -8, -2*i = -4*g - 5*i - 12. Let r = g - -4. Calculate the remainder when 2 is divided by l(r).
0
Suppose t + 0*t = 8. Let o = -14 - -23. Let f = -4 + o. What is the remainder when t is divided by f?
3
Let s(l) = 11*l - 109. Calculate the remainder when (2 - 1) + 0/(-2) is divided by s(10).
0
Suppose p + 28 = 2*q + 2*q, q - 5 = 0. What is the remainder when -10*(0 + 4/p) is divided by 4?
1
Suppose -4*k - 2*h + 13 = -93, k - 24 = -h. Calculate the remainder when 171 is divided by k.
26
Suppose 4*p + p = 20. Suppose -4*w + 624 = -4*x, -p*w = -2*w - x - 316. Suppose -5*v + w = -75. What is the remainder when v is divided by 16?
15
What is the remainder when 31 is divided by -3*(-5 + 4) - -1?
3
Suppose 2*z - 2*a = 94, -4*z + 81 = -5*a - 111. Calculate the remainder when z is divided by 9.
7
Let r = 8 + -3. Suppose r*a - 4*a - 15 = 0. What is the remainder when 29 is divided by a?
14
Suppose -4*t - 45 = -f, -5*f - 2*t + 100 = -3*f. Suppose -8 = -11*c + 179. What is the remainder when f is divided by c?
15
Suppose -5*q + 2 = 2*f - 1, 3*f - 16 = 4*q. Suppose -f*a - 4*k + 109 = -99, 3*k = 3*a - 144. Calculate the remainder when a is divided by 13.
11
Suppose 0 = -3*n + 2*r + 33 - 3, -3*r = 4*n - 23. Let h be (-34)/n - 3/(-12). Calculate the remainder when 1 is divided by 1/(-4 + 1 - h).
0
Let g be 20/16*4/1. Suppose g*t + 2 = 17. What is the remainder when 46 is divided by 46/t + (-2)/(-3)?
14
Let c(v) = v**2 + 5*v - 15. What is the remainder when c(-9) is divided by (-3)/6 + (-13)/(-2)?
3
Suppose -3*i - 4*a + 8 - 26 = 0, -3 = a. Let b = i - -6. Let s(k) = 2*k**2 - 1. Calculate the remainder when s(b) is divided by 11.
9
Let o = 80 - 31. Suppose -2*n + o = -31. Suppose 5 = -5*j + n. Calculate the remainder when j is divided by 3.
1
Let c = 0 + 2. Suppose 5*j - 2*x = 287 - 3, 104 = c*j + 4*x. Suppose j = 5*k + 6. What is the remainder when 18 is divided by k?
8
Let k be (3 - 1) + 2/1. Suppose -s = -k*s + 114. Calculate the remainder when 150 is divided by s.
36
Suppose -2*q + 75 = 9. Calculate the remainder when 63 is divided by q.
30
Let z(v) = -v**2 - 3*v + 4. Let o be z(-4). Suppose f - 4*p - 5 = 3, 2*f + p - 7 = o. Calculate the remainder when 13 i