i(w) = -w**3 - 8*w**2 + 8*w - 6. Let c be i(-9). Suppose -5*y - 20 = -2*h, 5*h - c*y - y = 84. What is the remainder when 57 is divided by h?
17
Let j(f) = -f**2 + 318. Let c be j(0). Suppose k - c = -5*r - 9, k + 240 = 4*r. Calculate the remainder when r is divided by 32.
29
Let j = 381 - 375. Calculate the remainder when 149 is divided by j.
5
Suppose 3*f = -3*a + 16 - 1, 0 = 3*a - 3*f + 3. Suppose k - 27 = -a*k. Calculate the remainder when 53 is divided by k.
8
Suppose -2*r + 16 = -l, 4*r - 23 - 17 = 3*l. Let b = l - -34. What is the remainder when 49 is divided by b?
23
Calculate the remainder when 28 is divided by ((-54)/45)/(6/(-40)).
4
Let h(d) = -36*d - 6. Let v be h(2). Let n = -62 - v. Calculate the remainder when n is divided by 11.
5
Let d = -298 - -312. Calculate the remainder when 49 is divided by d.
7
Let m = -42 + 42. Let p = 57 - m. Calculate the remainder when p is divided by 15.
12
Let j be 18/42 - (-3)/(-7). Suppose 9*t - 134 - 64 = j. Calculate the remainder when t is divided by 14.
8
Let x = -3 - -33. Suppose 1303 = 7*w - 1812. Suppose -2*k - 3*k = -w. Calculate the remainder when k is divided by x.
29
Let y = -677 - -715. Calculate the remainder when y is divided by 17.
4
Suppose -49 - 16 = -y. Calculate the remainder when y is divided by 23.
19
Suppose 4*k - 753 = -4*w - 149, -w - 4*k = -160. Calculate the remainder when w is divided by ((-10)/8)/(11/(-220)).
23
What is the remainder when 155 is divided by (-19)/(-19) - (3/(-3) + -10)?
11
Suppose -5*r + 6 + 9 = g, g = 0. Let d(w) = 53 + 0*w**2 - w**2 - 41. Calculate the remainder when d(0) is divided by r.
0
Suppose 0 = -2*b - 24 + 2. Let m = 40 + b. Let i(s) = s**2 - 4*s - 5. What is the remainder when m is divided by i(7)?
13
Suppose 214*x - 640 = 211*x - 5*f, -400 = -2*x + 2*f. What is the remainder when x is divided by 30?
25
Let w = 88 + -47. Let c = w - 21. Suppose -c = -3*u + 2*u. What is the remainder when 79 is divided by u?
19
Calculate the remainder when 41 is divided by 1/(((-72)/(-27))/8).
2
Suppose -3*g - 8 = 2*n - 5*g, -3*n = -2*g + 10. Let l be n/(-6)*(-14 + -1). Calculate the remainder when (-367)/l - (-4)/(-10) is divided by 19.
16
Let t(u) = 15*u + 10*u**2 - 2*u**3 + u**3 - 7 - 2*u**2 + 5*u**2. What is the remainder when 20 is divided by t(14)?
6
Suppose -27 - 5 = -k. Calculate the remainder when 3 - ((-4040)/44 + 6/(-33)) is divided by k.
31
What is the remainder when 292 is divided by 17 + 3/(-2)*(-8)/2?
16
Let l be (-24)/12*1*-2. Let o = 1 - -12. Calculate the remainder when o is divided by 29/l + 39/52.
5
Let a be (1/2)/(4/(-48)). Let p(x) = -21*x - 10. Let c be p(a). Suppose -9*l + 5*l = -c. What is the remainder when l is divided by 8?
5
Suppose -8 = -41*h + 39*h. Let g be (-4 + (-1)/(-1))*-1. What is the remainder when 0 + 12 + (2 - g) is divided by h?
3
Let q(m) = m**2 + 35*m - 29. Calculate the remainder when 32 is divided by q(-36).
4
Suppose -2*b + 3*w - 16 = -2*w, -2*b - 12 = -4*w. Suppose 4 = 2*u + 5*a, u + b*a + 4 - 7 = 0. What is the remainder when u is divided by 2/6 - 20/(-12)?
1
Suppose -3*d - 459 = -4*l, -4*l - 4*d - 242 = -6*l. Let q(p) = -7*p**2 + 47*p - 14. What is the remainder when l is divided by q(6)?
15
Let p be (-57)/(-15) + 8/40. Suppose 3*h + 153 = 3*z, 2*z - 81 = p*h + 29. Calculate the remainder when z is divided by 10.
7
Let l = 1839 - 1807. Suppose 0 = o - 2*o - 4*w - 13, -23 = -4*o - w. What is the remainder when l is divided by o?
4
Suppose -4*r - 55 = -5*r. Suppose 0 = 2*c - 5*z - 17, 3*c + z = -c + 67. What is the remainder when r is divided by c?
7
Let g(h) = -3*h + 7. Let a be g(6). Let o = -15 - a. Calculate the remainder when 49 is divided by (-145)/(-11) - o/(-22).
10
Suppose 12*h + 2 = 10*h. Calculate the remainder when 151/6 - h/((-18)/3) is divided by 13.
12
Suppose 0 = -w + 3*d - 3, -3*w + 3*d + 8 = -13. Calculate the remainder when 28 is divided by w.
4
Suppose -3*b + k + 48 + 8 = 0, -2*b = k - 29. What is the remainder when 185 is divided by b?
15
Let l be (7 - (-6)/(-2)) + -1. Let b(n) = -2*n**3 + 3*n**2 - 3*n + 3. Let x be b(l). Let t = 100 + x. What is the remainder when t is divided by 17?
16
Let x = 545 - 400. What is the remainder when x is divided by 21?
19
Suppose 0 = 4*c + 4*r - 100, 0 = -2*c + 3*r + 18 + 42. Let d = 41 - c. Calculate the remainder when 39 is divided by d.
11
Let s(j) be the first derivative of j**2/2 + 46*j + 5. Calculate the remainder when s(-11) is divided by 4.
3
Let s = -81 + 14. Let j = 97 + s. What is the remainder when 148 is divided by j?
28
Suppose -4*n + 807 = 3*o, 0 = -o - 10*n + 6*n + 261. Calculate the remainder when o is divided by 55.
53
Let b = 69 - -6. Suppose 4*i = -0*i. Suppose -5*v = -k - 0*v + 8, -k - 5*v + 18 = i. What is the remainder when b is divided by k?
10
Let s = -124 + 101. Calculate the remainder when 58 is divided by (-8)/6*345/s.
18
Suppose 29*s - 88 = 18*s. Let w = 0 - -2. Suppose 0*j = -w*a - 2*j + 52, 4*a = -5*j + 109. What is the remainder when a is divided by s?
5
Suppose z = -2*z + 45. Suppose 2*r - 94 = -4*h, -2*r - 3*r = -z. Calculate the remainder when h is divided by 12.
10
Let g be (-5 - -2) + (-1 - 8)/(-3). Suppose 0 = -g*l + 3*l - 3, 0 = -y + 2*l + 5. Calculate the remainder when 22 is divided by y.
1
Let v be 4/(-1*(0 + 1)). Let g be -1*(1 - (-21)/(-3)). Let z = v + g. Calculate the remainder when z is divided by 1.
0
Let u(z) = -10 - 13*z - z - z**2 + 18. Let p be u(-7). Let x = p - 34. What is the remainder when x is divided by 12?
11
Suppose -22 = -4*o - 5*u + 3*u, u - 15 = -3*o. Let p(x) = 2*x**3 + x**2 - 4*x - 6. What is the remainder when p(o) is divided by 25?
22
Let i be (76/(-5))/((-105)/25 + 4). Let c = i + -65. What is the remainder when 41 is divided by c?
8
Let f(d) = -10*d - 7. Let o be f(-1). Suppose 4*x = o + 45. What is the remainder when 59 is divided by x?
11
Let t = -3 + 5. Let o = -270 - -272. What is the remainder when o is divided by t?
0
Let w(d) = -1 + 73*d**2 + 2 - 21*d + 26*d - 3. Let f be w(2). What is the remainder when 16 is divided by f/45 - 2/3?
4
Let g(u) = -u**3 - 9*u**2 - u - 6. Let o be g(-9). Suppose 0 = -o*r + 165 - 24. Calculate the remainder when r is divided by 17.
13
Suppose -2*o + 1 = -z - 14, -2*o + 5*z = -35. Let h(w) = -w**3 + 5*w**2 + 5*w + 12. Calculate the remainder when h(o) is divided by 20.
17
Let y(x) = 12*x**2 - 23*x + 48. What is the remainder when y(7) is divided by 28?
27
Suppose 2 = y + m, 4*y - 2*m + 17 = -m. What is the remainder when ((-14)/y)/(8/36) is divided by 6?
3
Suppose k - 46 - 2 = 0. Suppose -3*h = -22 - 29. What is the remainder when k is divided by h?
14
Suppose 0*y - 3*y = -x + 18, 0 = 3*y + 15. Suppose 10*m = x*m + 77. Calculate the remainder when 32 is divided by m.
10
Suppose 6*z - 1141 + 277 = 0. Calculate the remainder when z is divided by 21.
18
Suppose 2*s = 7*s - 2*c - 112, 3*s + 2*c = 80. Let r(q) = -7*q + 28. What is the remainder when r(-6) is divided by s?
22
Suppose 0 = -4*o + 4*k + 7308, 7899 + 1224 = 5*o - 2*k. Calculate the remainder when o is divided by 16.
15
Suppose q + 24 = 28. Suppose p + 181 = 4*p + 2*r, p = q*r + 51. What is the remainder when p is divided by 20?
19
Let w(f) = 47*f**2 + 50*f + 94. What is the remainder when w(-2) is divided by 47?
41
Let g(s) = -20*s + 1. What is the remainder when 81/6*(-66)/(-11) is divided by g(-1)?
18
Let u(n) = -n**3 + 19*n**2 - 21*n + 14. Let o be u(18). Let s = o + 42. What is the remainder when 7 is divided by s?
1
Calculate the remainder when 4648/24 - (-1)/3 is divided by 15.
14
Suppose 3*y + 3*t - 138 = 0, 0 = 2*t - 6*t - 4. What is the remainder when 986 is divided by y?
46
Suppose 2*k - 3*l = 270, -4*l = -2*k + 411 - 139. Let r be (k/15)/((-8)/(-60)). Suppose 0*o + 2*o = r. Calculate the remainder when o is divided by 9.
6
Let c be (22/(-33))/((-2)/(-84)). Let l = c + 32. Calculate the remainder when 6 is divided by l.
2
Let y(w) = w**2 - 29*w - 45. Suppose -7*k + 95 = -2*k. What is the remainder when y(32) is divided by k?
13
Let x(u) = u**3 + 14*u**2 + 13*u - 27. Let l be x(-13). What is the remainder when (1 + -3)*l/6 is divided by 4?
1
Let y = 9 + 3. Let o(d) = 4*d - 21. What is the remainder when o(y) is divided by 8?
3
Let u(l) = l**3 + 12*l**2 - 6*l - 9. Let s(g) = 4*g**3 + 49*