 when (1 + -6 + 20)*20/3 is divided by -4 + 4 + 3*(-52)/(-6).
22
Let k(b) = 3*b**2 - 216*b + 63. What is the remainder when 178 is divided by k(72)?
52
Suppose -6*h = -2*h + 5*j - 83, -94 = -5*h - 3*j. Suppose -20*g + h*g + 21 = 0. What is the remainder when 20 is divided by g?
6
Let o = 12 + -12. Suppose -3*u - 2*u - 55 = o. Let j(z) = z**3 + 11*z**2 - 2*z - 1. Calculate the remainder when j(u) is divided by 11.
10
Let d(n) = -18*n - 47. Let q(u) = u**3 + 10*u**2 + u - 5. Let f be q(-10). What is the remainder when 1/(-5) - 288/f is divided by d(-3)?
5
Let c(v) = 70*v**2 + 2*v - 1. Calculate the remainder when 352 is divided by c(1).
68
Let c(f) = -f**2 - 12*f - 20. Let j be c(-10). Suppose -102 = -4*y - 3*x, 2*y + j*y + 5*x - 58 = 0. Calculate the remainder when 94 is divided by y.
22
Let m be (-4)/14*(-25 + 11). Let q = 52 - m. Suppose g + 0 - 17 = 0. Calculate the remainder when q is divided by g.
14
Let h(w) = -w**3 + 10*w**2 - 16*w + 4. Let v be h(8). Suppose -v*b + 76 = -b + f, -4*f = -16. What is the remainder when 67 is divided by b?
19
Suppose 8*d - 337 = 431. What is the remainder when d is divided by 45?
6
Suppose -5*k + 65 = 5*d, 0*d - 5*d + 5*k = -115. Let q = d - -6. What is the remainder when 117 is divided by q?
21
Let a(k) = -k + 5. Let l(i) = -11*i**2 - 11*i - 1. Let u(n) = 5*n**2 + 6*n. Let c(b) = 3*l(b) + 7*u(b). What is the remainder when c(-7) is divided by a(-4)?
5
Let r(s) be the third derivative of s**6/120 + 2*s**5/15 + s**4/8 - 7*s**3/3 - 6*s**2. What is the remainder when 25 is divided by r(-7)?
11
Let k(o) = -o**2 - 9*o - 12. Let p be k(-7). Suppose -2 = p*g - 22. Calculate the remainder when g is divided by 5.
0
Suppose b = 20 - 19. What is the remainder when (b - -41)/(-5 - -6) is divided by 0 - (2 - 2 - 15)?
12
Suppose 0 = -5*q + 4*h + 182 + 408, 0 = -5*q - h + 615. Suppose 558 = 12*s + 6*s. What is the remainder when q is divided by s?
29
Suppose -94 = 2*x - 3*x. Suppose -116 - x = -5*j. What is the remainder when j is divided by 9?
6
Suppose -55 = 2*i - 7*i. Let k = 1 + i. What is the remainder when 47 is divided by k?
11
Suppose -10*o - 2*t = -9*o - 14, 2*t = 2. What is the remainder when 46 is divided by o?
10
Suppose 3*d - 44 = 3*p + 19, 2*p + 99 = 5*d. Calculate the remainder when 149 is divided by d.
16
Let n(a) = -a**2 + 9*a + 10. Let j be n(10). Let x = 10 + j. Let r(m) = m + 3. What is the remainder when r(x) is divided by 5?
3
Let t = 256 - 188. Calculate the remainder when t is divided by 14.
12
Suppose 16*k = 33*k - 4318. Calculate the remainder when k is divided by 131.
123
Let y = 665 + -122. Calculate the remainder when y is divided by 68.
67
Suppose -g = -3*r + 6 - 99, 445 = 5*g - 5*r. Suppose -3*p + 246 = -g. Calculate the remainder when p is divided by 38.
35
Let b be 4/(-5)*(-75)/6. What is the remainder when 12 is divided by (-1)/((-1)/(-2)) + b?
4
Let g(m) = 18*m**3 - 2*m**2 + 5*m + 7. Let a be g(3). Suppose 785 = 17*d - a. What is the remainder when d is divided by 26?
23
Suppose 3*n + w = 31, 25 = -0*n + 3*n - 5*w. Calculate the remainder when 43 is divided by n.
3
Suppose -2*u = -5*u. Let o = 0 + u. Suppose -2*x + 41 - 1 = o. What is the remainder when 77 is divided by x?
17
Let v be 0/(3*2/6). Suppose 0 = -2*h - v*h + 22. What is the remainder when 0 - ((-24)/(-4) + -36) is divided by h?
8
Let m = -37 + 65. Calculate the remainder when 498 is divided by m.
22
Suppose -n - 2*a = -141, 0 = -3*a + 4 + 5. Calculate the remainder when n is divided by -23*12/24*-4.
43
Let a be (-55 - -8)*(-1 - 1). Suppose -2*h - 54 = -3*q - 0*h, a = 5*q - 2*h. Calculate the remainder when 55 is divided by q.
15
Suppose 0 = -4*k + 20, 4*n - 4*k = 5 - 21. Suppose -4 = -2*d - j, 4*d + j + n = 9. Let v = 20 - 15. Calculate the remainder when v is divided by d.
1
Suppose -5*w - 20 = -3*a - 2*a, -2*w - 4*a = -16. Let p(c) = -c**2 + c + 29. What is the remainder when 114 is divided by p(w)?
27
Let z(c) = -31*c**2 + c + 4. Let s be z(-2). Let y = -115 - s. Calculate the remainder when y is divided by 5.
2
Let t = 176 + -58. Suppose 0 = -6*a + 7 - 1. Let d(h) = 40*h. Calculate the remainder when t is divided by d(a).
38
Let a = -182 + 211. What is the remainder when 40 is divided by a?
11
Let w = -12 - -29. Suppose -2*p = 2*g, p + 4*g + 5 + 7 = 0. Let t(j) = j**3 - 3*j**2 - 2*j + 2. Calculate the remainder when w is divided by t(p).
7
Let u(k) = k**2 - 13*k + 21. Let i(y) = 3*y**2 - 38*y + 62. Let h(x) = 2*i(x) - 7*u(x). Calculate the remainder when 4 is divided by h(13).
1
Let p = -9 + 51. Suppose -3*k = -24 - p. Calculate the remainder when 1/((-2)/(-78) + 0) - -2 is divided by k.
19
Suppose 0 = -m + 701 - 680. Let s(g) = 22*g - 6. What is the remainder when s(4) is divided by m?
19
Suppose 0 = 3*l + 927 + 198. Let k be l/(-10)*(-4)/(-6). Suppose -k = -q + 85. What is the remainder when q is divided by 28?
26
Let r(c) = c**3 - 21*c**2 + 20*c + 12. Let j be r(20). Let d be (-2)/(-8) + (-75)/(-20). Calculate the remainder when 303/j + (-1)/d is divided by 14.
11
Let t be (144/(-10))/4*10/(-6). Let u(l) = 3*l**2 - 5*l. What is the remainder when u(t) is divided by 22?
12
Let x(h) = h**3 + 29*h**2 + 31*h + 179. Calculate the remainder when x(-28) is divided by 52.
43
Let v(j) = -5*j + 16. Let s be v(-6). Suppose s = r - 86. Calculate the remainder when r is divided by 45.
42
Let t(h) = h**2 + 25*h + 6. What is the remainder when t(-26) is divided by 9?
5
Let p = -49 + 142. Suppose 23 = -7*d + p. Calculate the remainder when 18 is divided by d.
8
Suppose 0 = -5*l - 5*s + 110, 0 = -2*l + 3*s + 19 + 5. Suppose 1 = u - l. What is the remainder when u is divided by 6?
1
Let i(r) = 12*r - 43. Calculate the remainder when i(11) is divided by 13.
11
Let r(c) be the third derivative of -c**5/60 - c**4/2 - 5*c**3/2 + 8*c**2. Suppose 3*z - 30 = -2*z. What is the remainder when r(-8) is divided by z?
5
Suppose -6*x + 95 = -139. Calculate the remainder when x is divided by 637/65 + 1/5.
9
Let i = 79 + -95. Let b = i - -72. What is the remainder when b is divided by 13?
4
Let f(b) = b**3 + 10*b**2 - 7*b - 2. Suppose 5*v - 1 = -5*j + 39, j = -3*v + 28. Calculate the remainder when f(-10) is divided by v.
8
Suppose -3*x + 3*q + 298 - 112 = 0, -2*x = 2*q - 116. Calculate the remainder when 418 is divided by x.
58
Let d = 93 - 88. Suppose -3*t + 3*x = -42, -d*x + 4*x = 4*t - 31. Calculate the remainder when 23 is divided by t.
5
Suppose 11*k - 339 - 530 = 0. What is the remainder when k is divided by 17?
11
Suppose -524*z + 3275 = -519*z. Calculate the remainder when z is divided by 8.
7
Let g(l) = 19*l**3 + l**2 + 11*l - 5. Let h be g(4). Suppose -19*p - 264 + h = 0. What is the remainder when p is divided by 7?
4
Let m(n) = 8*n - 5. Let u(q) = -q + 1. Let f be u(-2). Suppose -f*j + 3 = -z + 14, 5*j + 15 = 0. Calculate the remainder when 42 is divided by m(z).
9
Suppose a - 24 - 31 = 0. Let y = 2 + a. Let o(g) = g**3 + 8*g**2 - 2*g - 1. Calculate the remainder when y is divided by o(-8).
12
Suppose -2*m + 2*g = -4*m + 38, -m + 3 = -3*g. Calculate the remainder when 58 is divided by m.
13
Suppose 20*h = 38*h - 2952. Suppose -5*m = -2*z + 66, z = -m + 8 + 25. What is the remainder when h is divided by z?
32
Let g(x) be the third derivative of x**5/60 + 19*x**3/6 - x**2. Calculate the remainder when 12/((-6)/9 - -1) is divided by g(0).
17
Suppose 2 = -2*i + 30. Calculate the remainder when -10 + 8 - (-3 - (2 + 51)) is divided by i.
12
Let l(r) = -r - 3. Suppose 12 = -3*h + 75. What is the remainder when h is divided by l(-8)?
1
Suppose 12*t - 165 = 7*t. Suppose 0*j + 3*b = 3*j - t, 0 = b + 4. Calculate the remainder when ((-4)/(-10))/(j/1330) is divided by 13.
11
Suppose -3*d - 2*y - 2*y = -20, 0 = 2*d - 2*y - 4. Suppose -3*g = d*l - 88, 3 - 8 = l. Suppose -h = -4*h + 39. Calculate the remainder when g is divided by h.
10
Suppose -4*v + 91 + 53 = 0. Suppose -v = -2*g + 6. Let r = -1 + g. Calculate the remainder when r is divided by 8.
4
Suppose -2*v - 7*x = -6*x - 22, 3*x + 34 = 4*v. Suppose -4*o = -2*i + 6, 0 = -5*i + 7*i - 2*o - 8. Calculate the remainder when v is divided by i.
0
Let d = -1116 - -508. Let k = d + 915. Calculate the remainder when k/5 - 10/25 is divided by 21.
19
Let h = 7 + 3. Calculate the remainder when 42/24*4 