.
15
Let g(n) = -68*n**3 - 2*n**2 - 2*n - 1. What is the remainder when g(-1) is divided by 14?
11
Calculate the remainder when 78 is divided by 123/(3 - 0) - 1.
38
Let f(o) = 16*o**3 - o**2 - o + 1. What is the remainder when 72 is divided by f(1)?
12
Suppose 0 = d + d - 6. Suppose 8*g - d*g = 125. What is the remainder when g is divided by 9?
7
Let y be 41/(-3) - 1/3. Let u = 12 - 19. What is the remainder when (-32)/y - (-2)/u is divided by 1?
0
Calculate the remainder when 29 is divided by (-78)/(-9) + (-4)/6.
5
Suppose 5*v + 0*v = -55. Let d = -5 - v. Suppose 2*c - 3*i = 6, -4*i + d = 2*c + i. Calculate the remainder when 5 is divided by c.
2
Let g be -3*(3/9 - 0). Let c(u) = -u**3 - 3*u**2 - 3*u - 1. What is the remainder when c(-3) is divided by ((-6)/(-10))/(g/(-5))?
2
Let j be (-3)/(-12) + 14/8. Let u(w) = 2*w**2 - w + 1. Let t = 4 - -14. What is the remainder when t is divided by u(j)?
4
Suppose 2*l - 2*z = -294, -z - 677 = 5*l + 46. What is the remainder when 36 is divided by l/(-11) - (-6)/(-33)?
10
Suppose 0 = -o - 6 + 9. Let i be o/1*(-2)/(-3). Suppose -3*p - 4*l = -0*p, -p = 2*l + i. What is the remainder when 13 is divided by p?
1
Let s(l) = -l - 4*l + 1 + 3 + 3*l. Calculate the remainder when 41 is divided by s(-5).
13
Let j(q) = -q - 4. Let w be j(-5). Calculate the remainder when 16 is divided by (-2 + w)*-3*3.
7
Let l(n) = -n**2 - 13*n - 13. Let m be l(-13). Let g = m - -21. Let r = -21 + 36. Calculate the remainder when r is divided by g.
7
Let r = 128 + -120. What is the remainder when r is divided by 2?
0
Let x = -33 - -60. What is the remainder when 80 is divided by x?
26
Let u = -70 + 103. What is the remainder when u is divided by 18?
15
Suppose -h + 2*x = -90, 5*x - 183 = -4*h + 112. Calculate the remainder when h is divided by 27.
26
Let k(a) = -2*a. Let p be k(-3). Let l = p + 5. Calculate the remainder when 54 is divided by l.
10
Let n be 3 + 4 + 1 + -3. Suppose 7 + 33 = n*i. What is the remainder when 30 is divided by i?
6
Let n = -9 + 17. Suppose 2*g - n - 2 = 0, g = -2*j + 13. Suppose -5*i - 5 = 2*d, -i - 70 = -5*d + 3*i. What is the remainder when d is divided by j?
2
Suppose 115 = a + 3*a - 5*c, -2*c + 10 = 0. What is the remainder when a is divided by 19?
16
Calculate the remainder when 13 is divided by (1 - 0)*(-13 - -21).
5
Let w = 0 - -3. Suppose 0 = 3*n - 3*f - w, 0*n - 3 = -3*n - 2*f. Suppose p - 9 + n = 0. What is the remainder when p is divided by 5?
3
Let n = 15 + -10. Suppose 0 = -4*v - 5*j + 5, 4*v - 4*j + n = 37. Calculate the remainder when v is divided by 3.
2
Suppose -38 = 12*f - 13*f. Suppose -o - 12 = -f. What is the remainder when o is divided by 9?
8
Suppose 2*m = 5*o + m + 2, 4*o - 2 = -m. What is the remainder when -3*(40/(-6) - o) is divided by 7?
6
Let i(z) = 4*z + 6. Let m be i(-4). Let f = 19 + m. Let b = 6 + f. What is the remainder when b is divided by 8?
7
Let b = 12 + -34. Let t = b - -39. Calculate the remainder when 65 is divided by t.
14
Suppose -2*h - 18 = -5*h. Calculate the remainder when -1 - (-5)/(20/48) is divided by h.
5
Let x(t) = t**3 + 9*t**2 - 12*t - 13. Let d(w) = -3*w**2 + 1. Let i be d(-1). Let m(j) = 5*j. Let k be m(i). Calculate the remainder when 26 is divided by x(k).
5
Let y = -121 + 171. Suppose 6*d - 2*d = 2*g + 20, 2*g = -d. Suppose y + 62 = d*v. What is the remainder when 82 is divided by v?
26
Let s(z) = -z**2 - 5*z + 1. Let a be s(-6). Calculate the remainder when 17 is divided by 0 + 9 + 0/a.
8
Suppose -2*l - 3*r = 2*r - 348, 4*r - 887 = -5*l. What is the remainder when l is divided by 36?
35
Let m = 21 - 2. Suppose 3 = -3*p - 186. Let h = p + 118. What is the remainder when h is divided by m?
17
Let l = 102 + -55. What is the remainder when l is divided by 17?
13
Let n(y) = -2*y**3 - 26*y**2 - 3*y - 28. Let t = 18 - 51. Let l = -2 - t. What is the remainder when l is divided by n(-13)?
9
Let s be (-2)/(-8) + 302/8. Suppose 0*x - 4*x = 3*l - s, 2*x = 2*l - 2. What is the remainder when 15 is divided by l?
3
Let p = 85 - 18. What is the remainder when p is divided by 14?
11
Let z = 48 - 15. What is the remainder when z is divided by 5?
3
Let o = 296 + -271. Suppose -18 = -4*q + 2*q. Calculate the remainder when o is divided by q.
7
Let j = 8 + 4. Let y = 29 - 22. Calculate the remainder when j is divided by y.
5
Let c = 54 + -21. Calculate the remainder when c is divided by 9.
6
Suppose -25 = -5*k - 4*n + 12, -n = -2*k + 7. Suppose t - 4 - 36 = -2*w, w + k*t = 29. Suppose w + 22 = z. Calculate the remainder when z is divided by 14.
13
Suppose m + 12 - 42 = -2*f, 3*m + 4*f - 82 = 0. Let r(d) = -d**3 + 7*d**2 + 10*d - 10. What is the remainder when m is divided by r(8)?
4
Let z = 0 - -2. Let w(y) = -4*y**3 - 3 - 2*y**z + 4*y + 4*y**3 + y**3. Calculate the remainder when w(3) is divided by 10.
8
Let x be 1/((-5)/(-2) - 2). Suppose 4*j - x*w - 27 = -3*w, -36 = -4*j - 4*w. Calculate the remainder when 10 is divided by j.
4
Suppose u - 123 = -2. Calculate the remainder when u is divided by 31.
28
Suppose b + 0*b = 14. Calculate the remainder when 53 is divided by b.
11
Suppose 2*v - h - 12 = 0, 2*v = -5*h + 26 - 2. What is the remainder when v is divided by 4 - -2*2/(-4)?
1
Suppose 199 - 53 = 4*h - 5*i, 3*h - 113 = 2*i. What is the remainder when 154 is divided by h?
37
Let r(d) = 14*d - 57. Calculate the remainder when r(17) is divided by 13.
12
Let j = 25 + 54. Let s = j + -54. What is the remainder when s is divided by 14?
11
Let f(m) = -m**3 - 5*m**2 - 4*m + 3. What is the remainder when f(-5) is divided by 13?
10
Let o(y) = -y**3 - 16*y**2 + 17*y + 3. Calculate the remainder when 8 is divided by o(-17).
2
What is the remainder when 165/6*12/10 is divided by 9?
6
Let j be (-3)/(-12) + (-51)/12. Let o be 1/(-2) - (-62)/4. Let v = o + j. What is the remainder when 42 is divided by v?
9
What is the remainder when 77 is divided by (7 - 2)*(2 + 2)?
17
Suppose 3*c + 2*c + 2*o - 69 = 0, 0 = -5*c + 4*o + 87. Calculate the remainder when 24 is divided by c.
9
Let r be (-1)/(2 + (-205)/102). Let h = -4 - -10. Suppose h*o - 3*o = r. What is the remainder when o is divided by 18?
16
Suppose 5*g = 3*j - 19, -g - 6 = 2*g. Suppose -t + 2*s + j*s = -38, 5*t = -4*s + 45. What is the remainder when 36 is divided by t?
10
Let z(g) = -g**3 + 8*g**2 - 9. Let w be z(7). Suppose 12 = -4*y + w. What is the remainder when 25 is divided by y?
4
Suppose -u + 2*u - 5*j + 15 = 0, 0 = -5*u + j + 45. Calculate the remainder when 79 is divided by u.
9
Let i(y) = -y**2 + 11*y + 18. Calculate the remainder when 2/(-2) - -1*17 is divided by i(12).
4
What is the remainder when 18*3/2*(1 + 0) is divided by 8?
3
Suppose -3*y - w = -6*w - 69, -5*y - 2*w + 115 = 0. Let v be (-2)/8 - 490/(-8). Let x = v - 17. Calculate the remainder when x is divided by y.
21
Let q = 7 + -10. Let l(r) = r**3 + 3*r**2 - 2*r + 2. Calculate the remainder when 22 is divided by l(q).
6
Let d(a) be the third derivative of -a**4/24 + 37*a**3/6 + a**2. Calculate the remainder when d(0) is divided by 13.
11
Calculate the remainder when 0 + ((-4)/(-10) - (-3730)/50) is divided by 13.
10
Let d = 26 + -13. Let s = -8 + d. Calculate the remainder when s is divided by 4.
1
Let r(v) be the first derivative of v**4/4 - v**3 + 2*v**2 - v - 1. Calculate the remainder when r(4) is divided by 132/11 - (0/2 - -1).
9
Let p be (-2)/(3*(-4)/174). Let z = p + -17. What is the remainder when 34 is divided by z?
10
Suppose 3*t - 12 = t. Calculate the remainder when 16 is divided by t.
4
Let b(v) = v**2 + 3*v - 3. Let u be b(-6). Let y = -11 + u. What is the remainder when 6 is divided by y?
2
Suppose 4*x - 4 = n - 0*n, 2*n - 2*x = 22. Calculate the remainder when 31 is divided by n.
15
Suppose 26 = a + a - 3*d, 2*d = -3*a + 39. Calculate the remainder when 63 is divided by a.
11
Suppose -3*v + 88 - 13 = 0. Suppose -2*r = -2*n + 3*r - 19, 5*r - v = 0. What is the remainder when 50 is divided by (-3 + n - -1) + 12?
11
Let q(y) be the second derivative of y**4/24 + y**2/2 + y. Let g(p) be the first derivative of q(p). Calculate the remainder when g(2) is divided by 2.
0
Suppose 4*m = 7*m - 24. What is the remainder when m is divided by -2 + 0 + (-1 - -8)?
3
Let k = 1 + 28. Let o = 14 + -6. What is the remainder when k is divided by o?
5