is divided by ((-11)/(-4))/(3/z)?
10
Suppose 18*a - 114 = -42. Suppose -a*l - 62 = -82. What is the remainder when 24 is divided by l?
4
Suppose p + 214 = 3*u, 3*p - 370 = -5*u - 2*p. Suppose 18*z = 13*z + 130. Calculate the remainder when u is divided by z.
20
Suppose 0 = -5*t + 5*a + 65, -2*t + t - 4*a = -18. Calculate the remainder when 37 is divided by (-4)/(-7) + 174/t.
11
Suppose 5*l - 5*s - 645 = 0, -5*l + s = -s - 633. Suppose -12*k = -7*k - l. What is the remainder when k is divided by 9?
7
Let w = -260 + 450. What is the remainder when w is divided by 66?
58
Suppose 5*t + 3*i - 205 = 0, -3*t - 5*i + 110 = 3. Suppose 0 = -3*c + 355 + 32. Calculate the remainder when c is divided by t.
41
Suppose 2*m + u - 16 = 4*u, 5*m + u = 6. Let o be 1 - m/(-5 + 3). Suppose -y + 13 = 2*s, o*s + s = 4*y - 85. What is the remainder when 55 is divided by y?
17
Suppose -8*w = -9*w + 8. Let u = -2 + w. Calculate the remainder when 8 is divided by u.
2
Let l = 1619 - 1563. What is the remainder when 66 is divided by l?
10
Let k be (-1 + 5 - 6)*21. Let n = k - -71. Suppose 0 = 2*y + 4, 5*o - n - 105 = 2*y. What is the remainder when o is divided by 9?
8
Suppose -5*j + 4*y = -0*y + 24, -2*y - 10 = 3*j. Calculate the remainder when 22 is divided by (-16)/4 + j*(-4 + 0).
10
Suppose 2*m - 2 - 8 = 0, -4*m = 4*t - 5996. Calculate the remainder when t is divided by 44.
42
Suppose 4*y + 2*x - 129 = 341, -5*y - 2*x = -589. Let w(t) = 9*t**2 - 3*t - 2. What is the remainder when y is divided by w(-2)?
39
Suppose 6*m - 2*b = 3*m + 251, 0 = -m - b + 92. What is the remainder when m is divided by 10?
7
Suppose 13*t - 192 = 68. Let m be ((-1)/(-3))/((-2)/(-186)). Suppose 0 = -5*z + m + 4. What is the remainder when t is divided by z?
6
Let g = 1 - -3. Suppose -4*p + 76 = g*w, -p + 5 + 10 = -w. Let n(y) = -y**3 + 18*y**2 + 4*y - 24. What is the remainder when n(18) is divided by p?
14
Let w = -10 - 0. Let p be (-7 - -2)*(w - -7). What is the remainder when 35 is divided by (9/(-5))/((-3)/p)?
8
Let o be 4/(-6) + (-74)/(-3). Let p(j) = j**3 - 10*j**2 - 14*j + 28. Let x be p(11). Let m = o + x. What is the remainder when m is divided by 5?
4
Let m(q) = q**2 - q + 6. Let t(d) = 2*d**2 - 2*d + 7. Let u(b) = -4*m(b) + 3*t(b). Calculate the remainder when 23 is divided by u(3).
5
Suppose 4*p + 5*h = p + 85, -2*h - 32 = -p. What is the remainder when 108 is divided by p?
18
What is the remainder when 248 is divided by (-294)/(-12) - 3/2?
18
Let r be 3/(1/6*2). Suppose t - r = -z, 0*t - 16 = -4*z + t. Suppose -k - 4*h + 16 = 0, 2*k - 5*h - 1 = 5. Calculate the remainder when k is divided by z.
3
Let j be 489/9 - 1/(6 - 3). Let a(i) = -i - 8. Let t be a(-10). Suppose -4*q + j = t*q. Calculate the remainder when 35 is divided by q.
8
Suppose -4*b - q + 470 = -4, -4*b - 3*q + 478 = 0. Calculate the remainder when b is divided by 38.
4
Let o(b) = 2*b**2 + 4*b - 3. Let d be o(5). Let r = 17 + d. Calculate the remainder when r is divided by 43.
41
Suppose -58*i + 63*i + 18 = q, -6 = 2*i. Let m = -15 - -30. Suppose -3*a = -0*a - m, 0 = -g + q*a + 34. Calculate the remainder when g is divided by 13.
10
Suppose -28 - 52 = -4*w. Calculate the remainder when w is divided by 17.
3
Let u = 334 - 307. Calculate the remainder when 129 is divided by u.
21
Let k = -170 - -376. Calculate the remainder when k is divided by 52.
50
Let h = -57 + 61. Suppose -h + 148 = g. What is the remainder when g is divided by 21?
18
Let i(v) = -v**3 - 11*v**2 - 11*v + 80. Calculate the remainder when 1799 is divided by i(-9).
14
Suppose -4*s - 2*z + 4*z + 14 = 0, -3*z = -5*s + 18. Suppose 2*p - 67 = s. Calculate the remainder when p is divided by 20.
15
Let n = -30 - -75. Suppose -v - 4*v - n = 0. Let f(c) = 2*c**2 + 8*c - 13. Calculate the remainder when f(v) is divided by 20.
17
Let n(y) = -y**3 + 28*y - 22. What is the remainder when n(-7) is divided by 48?
29
Let y be (-5 + 0)*(-18)/5. Suppose 4*o + 2*t = 42, 5*t + y = 3*o + 2*t. Suppose -3*l + 30 = 2*l. Calculate the remainder when o is divided by l.
3
Suppose 2*a = 3*a - 4. Suppose 3*i - 4 = -4*j, -3*j - 31 = 2*i - a*i. What is the remainder when -2 + 1 + 25 + (13 - 14) is divided by i?
7
Let y(u) = u**3 + 7*u**2 - 9*u - 3. Let o = -3 + 1. Let m(z) = -3*z + 1. What is the remainder when m(o) is divided by y(-8)?
2
Suppose 390 = 5*m + 2*t + 2*t, 2*t - 154 = -2*m. Suppose o + 12 = m. Calculate the remainder when o is divided by 19.
13
Let g be ((-20)/(-6))/(4/(-66)). What is the remainder when (g/20)/((-1)/28) is divided by ((-2)/4)/((-9)/360)?
17
Suppose 3*c - 3*f = 969, -5*f + 1894 = -c + 7*c. What is the remainder when c is divided by 80?
79
Suppose -5*n = 4*t - 46, n + 3*t = -0*t + 7. Let u = -9 + n. Let r(y) = 42*y**2 - 2*y + 1. Calculate the remainder when r(u) is divided by 21.
20
Suppose 4*a = a - n + 215, 3*a - 217 = -2*n. Let w be (-4)/18 + 2 + (-470)/(-9). Suppose -v + w = 2*v. What is the remainder when a is divided by v?
17
Suppose -775 = -17*u - 282. Calculate the remainder when u is divided by (-36)/(-8) + 6/12.
4
Suppose 6*c - 3 = 39. Let x(z) = -z**3 + 8*z**2 - 11*z + 8. Let i be x(c). Calculate the remainder when (3 + 44/i)*45 is divided by 20.
16
Suppose 37*t = 41*t + 4. What is the remainder when 88 is divided by (22 - -4 - t) + 3?
28
Suppose 0*p - 2*p = 324. Suppose 32 = 3*x + 2*r, 0 = 2*x + 3*r - 0*r - 23. Calculate the remainder when 80 is divided by (p/(-15))/(x/25).
26
Let n(m) = -m**3 - 8*m**2 + 20*m + 24. Calculate the remainder when 190 is divided by n(-10).
22
Let f(m) = -2*m**3 - 8*m**2 - 8*m - 22. What is the remainder when 264 is divided by f(-5)?
60
Let h be 2*(2/4*-2 - 0). What is the remainder when (-2004)/(-18)*(1 + h/(-4)) is divided by 42?
41
Let r(z) = z**3 - 11*z**2 - 12*z + 2. Let v be r(12). Suppose 0 = 5*s - v*s - 90. Suppose 3*u + s = 4*u. What is the remainder when u is divided by 8?
6
Suppose -55 + 679 = 16*i. What is the remainder when 232 is divided by i?
37
Let s(d) = 4*d**3 - 2*d**2 - 6*d + 4. Suppose -9*v + 20 = -4*v. What is the remainder when s(v) is divided by 52?
48
Suppose -15 = 8*y - 3*y, 3*m + 2*y + 60 = 0. Let w = -18 - m. Suppose -5*d + 24 + 16 = w. What is the remainder when 14 is divided by d?
6
Let n(o) = -o**3 + 3 - 967*o**2 + 1 + 977*o**2 + 11*o. Calculate the remainder when 51 is divided by n(11).
3
Suppose -4*o - 155 = -5*o. Calculate the remainder when o is divided by 46.
17
Let q(y) = 33*y + 36. Calculate the remainder when 82 is divided by q(0).
10
Suppose 13*a = 15*a - 30. Suppose -2*t + 49 = -a. What is the remainder when t is divided by 7?
4
Suppose -4*m = -8*m. Suppose -8 = -f - 3*v, m = -3*f + 5*v - 5 + 1. Let g = f - -7. What is the remainder when 25 is divided by g?
7
Suppose 8*a = 638 + 234. What is the remainder when a is divided by 31?
16
Suppose -2*i - 3*i + 3*k = -448, k = -i + 96. Suppose -3*p + 13 = f - 0*p, -3*p - 82 = -4*f. Calculate the remainder when i is divided by f.
16
Suppose -5*k - 6 + 46 = 0. Let n be (12/k + -1)*200. Suppose -s - n = -5*s. What is the remainder when s is divided by 13?
12
Suppose -4*p + 864 = -2604. Calculate the remainder when p is divided by 30.
27
Let d = 1118 + -1106. Calculate the remainder when d is divided by 12.
0
Suppose 13*p - 496 = -2. What is the remainder when 119 is divided by p?
5
Suppose 4*r - 2*r = 54. Let a be (r*-1)/3*-1. What is the remainder when 17 is divided by 129/12 - a/12?
7
Suppose 0 = -4*x + 2*b - 88 + 358, -3*x - 2*b + 192 = 0. What is the remainder when x is divided by 36?
30
Let q = -14 + 27. Let j = -444 + 465. Calculate the remainder when j is divided by q.
8
Suppose 2*b = -2*o + 6*o - 618, 0 = 4*o + 4*b - 588. Suppose -3*j + 24 = k, -j + o = 4*k - 3*j. What is the remainder when k is divided by 8?
4
Let k(v) = 9*v - 14. Let d be k(6). Suppose -2*a + d = 8*a. Calculate the remainder when 21 is divided by a.
1
Let o(y) be the first derivative of -y**3/3 + 6*y**2 - 10*y - 1. What is the remainder when (-6 - -4)*31/(-2) is divided by o(9)?
14
Let p(g) = -g**2 - 31*g - 36. What is the remainder when p(-11) is divided by 41?
20
Let q(c) = -268*c + 65. Let x be 2/(-4) + (-86)/4. Let s = -5 - x. Calculate the remainder when q(0) is divided by s.
14
Let j = 212 - 193. What is the remainder when j is divided by 5?
4
Let