en b is divided by 11.
8
Let g(b) = 2*b**3 + 66*b**2 - 10*b - 17. What is the remainder when g(-33) is divided by 105?
103
Suppose 3*r - 6 = 0, 0*r = 3*p - 5*r - 581. Suppose -8*t = -p - 67. Calculate the remainder when 129 is divided by t.
30
Suppose -11*n + 490 = -126. Calculate the remainder when n is divided by 12.
8
Let d = -228 + 384. Let s = d - 144. Calculate the remainder when 118 is divided by s.
10
Suppose 849 = 30*l - 561. What is the remainder when 985 is divided by l?
45
Let x(k) = k**2 - 11*k + 24. Calculate the remainder when x(17) is divided by 26.
22
Let l(x) = -x**2 - 6*x - 2. Let d be l(-7). Let i = d - -13. Calculate the remainder when 81 is divided by (1 - i)/(-1) + 18.
18
Suppose 3*m + 5*l - 25 = 0, -l + 18 - 6 = 2*m. Suppose 0 = -m*k + 9*k - 124. What is the remainder when k is divided by 9?
4
Let u be 32/3 - 20/(-15). Suppose u = v + 4*g + 1, -4*v - 5*g = -66. What is the remainder when 74 is divided by v?
17
Suppose 4*i - 2*s = 6, 7 + 3 = 2*s. Calculate the remainder when 17 is divided by i.
1
Let g(t) = t**2 + 20*t + 24. Let j be g(-20). Suppose 2 = 4*n + 3*h - 10, -5*n - h = -15. Calculate the remainder when 396/j - -1*(-1)/(-2) is divided by n.
2
Let u be 312/51 + 4/(-34). Suppose u*f = 5*f + i - 12, -2*i = 5*f + 81. Calculate the remainder when 16 is divided by f*1/(-3) - -4.
7
Let w = 90 - 47. Suppose -2*x = -w + 3. Suppose 5*g + 45 = 5*r, -x = -0*r - 2*r + 4*g. What is the remainder when r is divided by 3?
2
Let q(s) = 5*s**3 - 12*s**2 + 2. Calculate the remainder when 402 is divided by q(3).
25
Let b = 612 + -589. Let r be (1 - 0) + 7 + -3. Suppose 0 = 3*g + r*u + 1, -4*g + 4*u = -0*u - 52. Calculate the remainder when b is divided by g.
7
Suppose -124 - 116 = -16*c. What is the remainder when (6/4)/(9/264) is divided by c?
14
Suppose -3*q - 16 = -2*f, -5*q = -3*f - 10*q + 5. Let d(u) = -u**2 + 8*u - 6. Let i be d(6). What is the remainder when 66/4 - (-3)/i is divided by f?
2
Suppose 4*w = -3*o + 1677, -3*o + 6*w - 2*w + 1653 = 0. What is the remainder when o is divided by 43?
39
Let x be 78/(-8) - 3/(-4). Let b = 11 + x. Suppose 3*v = -b*h + 48, h + 4*v = 4*h - 89. Calculate the remainder when h is divided by 15.
12
Let k(u) = 361*u**2 - u. Let r be k(1). Suppose 9*n = 4*n + r. Calculate the remainder when n is divided by 25.
22
Let k(d) = 2*d**3 - 48*d**2 + 3*d + 44. What is the remainder when k(24) is divided by 76?
40
Suppose 5*k = 5*q - 195, -6*q + q - 3*k = -171. Let s = q + -34. Calculate the remainder when 5 is divided by s.
1
Let q = -22 + 59. Calculate the remainder when q is divided by 10*9/12 - (-55)/(-110).
2
Let q = 143 - 80. Let h(n) = -n**3 + 9*n**2 - 7*n. Let b be h(8). Suppose 3*g - b*g = -80. What is the remainder when q is divided by g?
15
Let d(i) = -2*i**3 + 11*i**2 + i - 5. Suppose -2*y + 5*h + 20 = 2*y, 4*h = 2*y - 10. What is the remainder when 32 is divided by d(y)?
7
Suppose 0*m = m + 1. Let s(w) = -13*w**3 - 2*w**2 - 2*w - 1. Let z = -83 - -105. What is the remainder when z is divided by s(m)?
10
Let d = 6 + -4. Suppose 2*b = -d*b + 36. Suppose -w - b = -32. What is the remainder when w is divided by 13?
10
Let v = 148 - 126. Calculate the remainder when v is divided by 14.
8
Suppose 88 + 79 = 4*u + m, -211 = -5*u - 2*m. Calculate the remainder when (4/(-2))/(-2)*121 is divided by u.
39
Let u(h) = -h**3 + 51*h**2 - 90*h + 67. Calculate the remainder when u(49) is divided by 33.
30
Suppose -75*o + 68*o = -1589. Calculate the remainder when o is divided by 23.
20
Let w = -49 + 89. Let p = -236 + 247. Calculate the remainder when w is divided by p.
7
Suppose -468 + 1742 = 7*o. Calculate the remainder when o is divided by 37.
34
Let r = -28 - 163. Let h = -116 - r. What is the remainder when h is divided by (1 - 3)*78/(-4)?
36
Let j(r) = 4*r**2 - 4*r - 1. Let m be j(-4). Let h = m + -71. What is the remainder when 22 is divided by h?
6
Let i = -19 + 53. What is the remainder when i is divided by ((-72)/20)/((-2)/5)?
7
Let a = -3 - -21. Suppose 0 = 2*o - 2*d - a, 5*o + d + d - 80 = 0. Calculate the remainder when o is divided by 6.
2
Let w(l) = l**2 - 15*l - 1. Let a(x) = -x**2 + x + 11. Let z be a(0). Let u be w(z). Let d = -20 - u. What is the remainder when 97 is divided by d?
22
Let w(p) = 5*p**2 - 5*p - 1. Let a(m) = 2*m - 9. Let l be a(7). Calculate the remainder when w(l) is divided by 21.
15
Let z = 180 + -133. What is the remainder when z is divided by 12?
11
Suppose -6*f + 106 = 22. Calculate the remainder when 26 is divided by f.
12
Suppose 4*x - n = 42, 0*n + 2*n + 18 = 2*x. Let m = 18 - 16. Suppose 0 = m*b + 3*f - 7, -3*b = -f + 4*f - 12. What is the remainder when x is divided by b?
1
Suppose m - 9 = -2*i, 18 = 5*i - 0*m + m. Suppose 13 = -v - 0*v - i*l, -5*v + 5 = l. Calculate the remainder when 2/8 + 63/36 is divided by v.
0
Let s be (-4)/(-8) + (-750)/(-4). Suppose 0 = -g + o + 56, -2*g - 2*g = 5*o - s. Suppose -p = p - g. What is the remainder when p is divided by 7?
5
Let y = 1064 + -976. What is the remainder when y is divided by 3?
1
Suppose -4*u + 49 = 3*m + 1, 36 = 3*u + 3*m. Let k(w) = 6 + 0*w + u - 2*w + 7. Calculate the remainder when 3 is divided by k(12).
0
Suppose -4734*b = -4738*b + 1400. Calculate the remainder when b is divided by 40.
30
Let i(a) = a**3 + 6*a**2 - 3*a - 2. Let b be i(-6). Suppose 0 = -4*n + 2*n + b. Calculate the remainder when (-3)/12 + 98/n is divided by 7.
5
Suppose 4*s - 5*v - 25 = 0, -s - 2 = 3*v + 13. Calculate the remainder when 23 is divided by (8/12)/((-4)/(-48) - s).
7
Let i be (4 + 8)*3/2. Suppose -i = 3*n - 432. Suppose 0*y - 3*y + n = 0. What is the remainder when y is divided by 12?
10
Suppose 0*r = -r + 18. Suppose -2*t + l = -395, 4*t + l - 661 = 114. What is the remainder when t is divided by r?
15
Let r = 229 + -162. Let z be (2/1 - 1)/(-1). Let c(q) = -18*q**3 - 1. Calculate the remainder when r is divided by c(z).
16
Let a(g) = g**3 + g**2 - 4*g + 4. Let x(l) = 11*l**2 - 7*l + 8. Let m be x(7). Suppose -20*c = -14*c - m. Calculate the remainder when c is divided by a(3).
27
Let f(o) = 14*o**3 - 4*o + 1. What is the remainder when f(2) is divided by 23?
13
Let o(s) = 9*s - 6. Suppose 5*h + 5*a - 175 = 0, -h + 4*a = -2*h + 38. Calculate the remainder when h is divided by o(2).
10
Suppose -8310 = -39*y + 29*y. Calculate the remainder when y is divided by 16.
15
Let y be (-2 - (-16)/6)*141. Let h = 37 + y. Calculate the remainder when h is divided by 22.
21
Let b be (28/(-16))/(1/(-20)). Calculate the remainder when (42/35)/(2/b) is divided by 12.
9
Let f(u) = -u**3 - 11*u**2 - 10*u + 8. Let p = 24 + -34. Let r be f(p). Let y = 15 - r. Calculate the remainder when 19 is divided by y.
5
Suppose -16*d = -48*d + 1728. What is the remainder when 1887 is divided by d?
51
Let d = -8 + 13. Suppose -d*w + 656 = 186. Suppose w = 2*u - 4*m, 3*u - 4*m - 131 = 14. What is the remainder when u is divided by 14?
9
Let a = 8 - -9. Suppose 2*t + 2*u + 3*u - 223 = 0, 4*t = -2*u + 406. Calculate the remainder when t is divided by a.
14
Let o(s) = -25*s**3 - 4*s**2 + 7*s + 41. What is the remainder when o(-3) is divided by 17?
13
Let u(j) = 24*j - 220. What is the remainder when 317 is divided by u(10)?
17
Suppose 156 = 3*b + 9*b. Suppose 2*v = -5*k - 19, -2*v - 2*k + 1 = -k. Suppose 8*i - v*i = 40. Calculate the remainder when b is divided by i.
5
Let w(z) = z**3 - z**2 - z + 3. Let s be w(0). Suppose f + s*f = 56. Calculate the remainder when 7 + -1 + (-1457)/(-31) is divided by f.
11
Suppose 35*n - 996 = 23*n. Calculate the remainder when n is divided by 28.
27
Suppose -4*h = -2*h - 4. Suppose 3*g = 6*g + 4*f + 20, 0 = h*g + 2*f + 10. Suppose -d = -g*d - 8. Calculate the remainder when d is divided by 3.
2
Let f = 428 - 408. Calculate the remainder when 58 is divided by f.
18
Let r be 2*((-55)/(-10) - 4). Suppose 13 + 2 = r*l. Suppose 34 + 91 = l*s. Calculate the remainder when 74 is divided by s.
24
Let z = 99 - 107. Let g(y) = -y**3 - 8*y**2 - y. What is the remainder when 29 is divided by g(z)?
5
Let b = -1 - -9. Suppose 0 = -4*g + b, -4*d = -3*g + 38 - 104. Suppose 0 = 2*t - 4*j - 6, -4*t - j + 21 = -0*t. What is the remainder when d is divided by t?
3
Let l(w) = -4*w**3 + 2*w**2 + 2*w. Let a(d) = 5*d + 6. Calculate the remainder 