 Let d be (-9)/27 - 1/a. Suppose 4*o = -d*o + 68. What is the remainder when o is divided by 6?
5
Let f(w) = w**3 + 7*w**2 - 17*w + 7. Calculate the remainder when f(-8) is divided by 32.
15
Suppose 2*o - 5*b - 6 = 0, 1 + 17 = -5*o - 4*b. Let f = o + 6. Calculate the remainder when 19 is divided by f.
3
Suppose -74 = -2*f + 195*k - 199*k, -5*f = 5*k - 170. What is the remainder when 361 is divided by f?
20
Let b(z) = -z**2 + 10*z - 13. Let a be b(8). Suppose -a*v + 4*x + 101 = -x, -2*v + x + 79 = 0. What is the remainder when v is divided by 11?
9
Let j = -65 - 4. Let q = -55 - j. What is the remainder when 68 is divided by q?
12
Let h be (-61)/((-6)/(-1 + 7)). Let g = h + -47. What is the remainder when 79 is divided by g?
9
Let n be (-2 - 0)/((-6)/15). Suppose 0*h - 4*h + j + 53 = 0, -j = n. What is the remainder when 32 is divided by h?
8
Let x(t) be the first derivative of t**3/3 + 7*t**2/2 - 9*t + 11. Calculate the remainder when 37 is divided by x(3).
16
Suppose -15*l - 28 = -16*l. Let i = 60 - l. What is the remainder when 93 is divided by i?
29
Let p(w) = 11*w - 30. Let j = 27 + -26. What is the remainder when p(8) is divided by (16 - 11)*j*3?
13
Let o(k) = 3 - 4*k - 18 + 7*k + 8. Let d be o(3). Suppose 0*a - 5*s - 87 = -4*a, d*s + 96 = 5*a. What is the remainder when 35 is divided by a?
17
Let y(d) = -d**3 - 14*d**2 + 13*d - 16. What is the remainder when (-2)/(-3) + (-121)/(-3) is divided by y(-15)?
13
Let v = 602 + -557. What is the remainder when 146 is divided by v?
11
Calculate the remainder when 300 is divided by (-96)/(22 + -10) + 42.
28
Let w be 2 + (0 - 0) - 0. Suppose -3*j + 2*j = w. Let o(z) = 17*z**2 + z + 1. What is the remainder when o(j) is divided by 23?
21
Let d = 2528 + -2155. What is the remainder when d is divided by 94?
91
Let c = -4 - -16. Suppose c = 3*r, 6 = 2*o + 3*r - 22. What is the remainder when ((-6)/o)/(3/(-60)) is divided by 6?
3
Suppose -3*c + 3*v - 5*v + 54 = 0, 0 = 2*c - 5*v - 55. Suppose 5*f + 12*f = 3026. What is the remainder when f is divided by c?
18
Suppose 5*s + 5*c - 33 = 2*s, c + 22 = 2*s. Let r(b) = -b + 14. Let k be r(s). Let p = 12 + k. Calculate the remainder when 44 is divided by p.
14
Let p = 80 - 64. Calculate the remainder when 49 is divided by (-90)/(-8) + (-4)/p.
5
Let l = -5 + 37. What is the remainder when 63 is divided by l?
31
Suppose 3*m = -3, -m + 45 = x - 30. Calculate the remainder when x is divided by 44.
32
Let h(f) = -f + 5. Let u be h(5). Suppose -3 + u = 3*g. Calculate the remainder when (-4 + -9)/(1*g) is divided by 8.
5
Suppose 0*o - 90 = -o. Let p = -1 - -4. Suppose 95 = 4*h - p*m, -4*m - 6 = -2. What is the remainder when o is divided by h?
21
Suppose -4*w = 2*w - 330. What is the remainder when w is divided by 10/(-20) + 58/4?
13
What is the remainder when 344 is divided by (0 - -1*1)/((-320)/(-16320))?
38
Let f(a) = 2*a**3 - 5*a**2 + 3*a - 2. Let t be f(4). Suppose 2*k = t + 12. What is the remainder when k is divided by (-3 - 0)/((-2)/8)?
11
Let v(q) = q**3 - 4*q**2 + 3*q + 4. Let x be v(4). Suppose -4*h + 0*h + x = 0. Let j(y) = -y + 4. Calculate the remainder when j(-5) is divided by h.
1
Let d(n) = -n**2 + 7*n - 4. Let o be d(6). Suppose -2*a + 6 = -o. Suppose 0 = -a*b + 8 + 20. Calculate the remainder when 20 is divided by b.
6
Let u(n) = n**2 - 4*n - 9. Let l be u(7). Let h = 4 + l. Let t = -12 + 39. Calculate the remainder when t is divided by h.
11
Let p(x) = 2*x**2 - 8*x + 7. Calculate the remainder when 31 is divided by p(5).
14
Let u(b) = b**3 - 5*b**2 + 7*b. Let s be u(3). Suppose 6*i - 3*f - 171 = 3*i, s*f = -2*i + 124. What is the remainder when i is divided by 21?
17
Suppose 0 = 3*i + 4*v - 365, -i - 5*v - 82 = -211. Calculate the remainder when i is divided by 24.
23
Let l = -6 - -4. Let g = -185 - -225. Calculate the remainder when g is divided by (-19 + l)/((-1)/1).
19
Suppose 6*g - 5*g - 2*i - 69 = 0, 4*g = -i + 285. What is the remainder when g is divided by 36?
35
Suppose 5*a + 2 = -3*w, -2*a + 3*w + 20 - 4 = 0. Suppose a*h = 53 + 59. What is the remainder when h is divided by 19?
18
Let t(y) = -y**3 + 4*y**2 + 8*y - 4. Let o = -27 + 29. Suppose o*l + 24 = -4*x + 112, 0 = -5*x - 20. What is the remainder when l is divided by t(5)?
8
Suppose -4*y + 3*d + 779 = 0, 23*d - 20*d = -5*y + 994. Calculate the remainder when y is divided by 55.
32
Suppose 2*o - 244 = -4*w, -4*w + 386 = 3*o - 8*w. Calculate the remainder when 881 is divided by o.
125
Suppose -83*t = -100*t + 340. Let r = -38 - -73. Calculate the remainder when r is divided by t.
15
Suppose -13*k + 49*k = 3132. What is the remainder when k is divided by 50?
37
Let p(q) = 8*q - 49. Let t(z) = 3*z - 16. Let n(u) = -4*p(u) + 11*t(u). What is the remainder when 32 is divided by n(-15)?
2
Let g(t) = 35*t - 2. Let c be g(1). Let q be c - (-9)/12*-4. Suppose d + 5*a - 16 = -d, 2*d - q = 2*a. Calculate the remainder when 37 is divided by d.
11
Let r = -246 - -248. Calculate the remainder when 57 is divided by r.
1
Let c(k) = k**3 + 6*k**2 + k - 3. What is the remainder when (-3)/6*(-54 - 8) is divided by c(-5)?
14
Let h = 81 - 59. Calculate the remainder when (2600/h - -1) + (-10)/55 is divided by 12.
11
Suppose -57*j = -0*j - 171. Let f = 20 + -6. Calculate the remainder when f is divided by j.
2
Suppose -5*f - 8 - 2 = 0. What is the remainder when 10 is divided by 3/f + 9/2?
1
Let a be (-7)/(28/(-8)) - -1. Suppose -4*y - 4*d + 116 = -0*d, 2*d + 72 = 3*y. Let m = y - a. What is the remainder when 66 is divided by m?
20
Let w = -11 + 26. Let k be (3 + -3 - 4) + 4. Suppose k = v - 6*v + 20. Calculate the remainder when w is divided by v.
3
Let a = -49 + 57. Calculate the remainder when 58 + (-1)/1 + 4 is divided by a.
5
Let h(d) = -4*d**2 - 28*d - 7. Calculate the remainder when 458 is divided by h(-5).
29
Suppose -30 = -2*n + 5*n. Let x = n - -12. Suppose -5*y + 32 = 4*r, 0 = -x*y - 2*y. Calculate the remainder when 39 is divided by r.
7
Let d(x) = -2*x - 4. Let t be d(-4). Let b = -11 + t. What is the remainder when 23 is divided by (-9 - b)*(1 + -3)?
3
Suppose 189 - 252 = -7*j. What is the remainder when 14 is divided by j?
5
Let v(p) = 34*p**2 - 1. Let o be v(1). Suppose -3*u = 5*b - 36, 4 = -5*u + 2*b + o. Calculate the remainder when (18/(-4))/((-1)/6) is divided by u.
6
Let h(l) = 19*l**2 + l - 1. Let s(z) = -z**3 - 12*z**2 - 15*z + 10. What is the remainder when s(-11) is divided by h(1)?
16
Suppose 2*k - 3*q - 46 = 0, 64 = -10*k + 13*k - 2*q. Suppose -82 + 1267 = 5*c. What is the remainder when c is divided by k?
17
Let x(z) = -z**3 - 5*z**2 - 6*z - 4. Let w be x(-4). Suppose 107 = w*p + 3*v, -3*v - 14 - 9 = -p. What is the remainder when 101 is divided by p?
23
Suppose -7*f = -13*f + 30. Suppose 4*i + 44 = 4*c, -5*c + 35 = -4*i + 3*i. Let x = 19 - c. What is the remainder when x is divided by f?
3
Suppose 0 = 7*d - 4*d - 6. What is the remainder when 0 + d + -1 - -47 is divided by 17?
14
Calculate the remainder when (-17)/((-6)/(-270)*-5) is divided by 26.
23
Suppose -222 = -2*b + 2*l, -5*l = 44*b - 41*b - 301. What is the remainder when b is divided by 24/(-5)*(-15)/2?
35
Calculate the remainder when 4812/(-4)*(-2)/6 is divided by 58.
53
Let r(g) = -g**3 + 6*g**2 + g - 5. Suppose -92 = 3*h - 4*h - 4*w, 0 = -5*h + 4*w + 484. Calculate the remainder when h is divided by r(5).
21
Let q = -14033 + 14064. Let c = -7 + 12. What is the remainder when q is divided by c?
1
Suppose -3*n = -n + 2*k + 634, 0 = n - 5*k + 287. Calculate the remainder when ((-2)/(-6))/((-2)/n) is divided by 29.
23
Let w(f) = -2*f**3 - 7*f**2 - 8*f + 4. Calculate the remainder when w(-8) is divided by 72.
68
Let x(f) = f**3 - 28*f**2 - 31*f + 61. Calculate the remainder when 42 is divided by x(29).
0
Suppose 29 = 2*k + 5. Calculate the remainder when k is divided by 5.
2
Let l = 301 + -259. What is the remainder when 670 is divided by l?
40
Suppose 4*c + d - 72 = 0, c - 4*d = -3*c + 92. Suppose j + t - 19 = 0, -3*j = -2*j + 5*t - c. What is the remainder when 74 is divided by j?
17
Suppose 4*k + 3*m - 79 = 0, m - 3*m = -10. Suppose 3*h - 2*h = -5*w + 20, 4*h + 3*w = 29. Calculate the remainder when k is divided by h.
1
Let u = -1366 + 1465. Calculate the remainder when u is divided by 23.
7
What is the remainder