0. What is the remainder when f(-40) is divided by 75?
0
Suppose -8*k = -13*k + 10. Calculate the remainder when 26 is divided by 5/k*120/50.
2
Let p = -53 - -116. Let w be (-65)/(-9) - 14/p. Suppose -3*f + 46 = w. What is the remainder when 36 is divided by f?
10
Let b(t) = t**3 + 3*t + 621. Let r be b(0). Suppose 14*x = 5*x + r. What is the remainder when x is divided by 14?
13
Suppose 10*z = 12*z - 108. What is the remainder when 483 is divided by z?
51
Let g be (-4)/8*182/(-1). Let p = g - 75. Calculate the remainder when 46 is divided by p.
14
Let b(n) = 5*n - 16. Let l(s) = 7*s - 16. Let h be l(3). Calculate the remainder when 23 is divided by b(h).
5
Suppose -613 = -17*g + 1580. Let y = g - 119. Suppose -17 = -p + 3*z + 4, -3*p - 3*z = -51. Calculate the remainder when p is divided by y.
8
Let z be (-5 - -3)*(-3)/2. Let i(y) = 3 + 10*y**2 - z - 4 - 5*y**2 - y**3 + 7*y. Calculate the remainder when 8 is divided by i(6).
0
Let p(q) = -q**3 - 8*q**2 + 11*q - 35. What is the remainder when p(-11) is divided by 14?
11
Suppose 0 = -3*v - 2*r + 27, 3*r = 2*v + r - 18. Calculate the remainder when (60 - 3)*6/v is divided by 13.
12
Suppose 4*w = 2*z + 202, -9*z + 4*z + 132 = 3*w. What is the remainder when 292 is divided by w?
47
Let y(u) = 34*u**2 - 259*u + 19. Calculate the remainder when y(8) is divided by 111.
12
Suppose -2*h - 1656 = -26*h. What is the remainder when h is divided by 8?
5
Let d be (-2 - 0)/(4 - 5 - 0). Suppose -5*y + d*t = -3*y - 36, -5*t = 5*y - 60. What is the remainder when y is divided by 6?
3
Let w(x) = -40 - 22*x + 88 - 42. What is the remainder when w(-4) is divided by 32?
30
Let y = 95 + -14. Suppose 0 = 5*n + 4*b - y, 0*n - 2*b - 44 = -4*n. What is the remainder when n is divided by (-6 + 5)/(1/(-8))?
5
Let k be ((-1 - -3) + -1)/(-1). What is the remainder when (k - 1) + 21 + -1 is divided by 7?
4
Suppose -4*a - t + 226 + 491 = 0, -a + 5*t = -174. What is the remainder when a is divided by 10?
9
Let f(j) = -8*j**3 + 3*j**2 - 3*j + 1. Let q be f(1). Let g be (-42)/(-4)*12/q. What is the remainder when (-1212)/g + (-2)/(-3) is divided by 18?
14
Suppose 35*f = 3513 - 888. Suppose -3*w + 29 + 31 = 0. Calculate the remainder when f is divided by w.
15
Suppose -2*a = 10*n - 15*n + 223, -5*n + 219 = -a. What is the remainder when n is divided by 11?
10
Let b be (12/18)/(2/9). Suppose -5*q = -10, -5*u = -u - b*q - 102. What is the remainder when 132 is divided by u?
24
Suppose 5*k - 75 = -5*w, -3 + 8 = w. What is the remainder when k is divided by 2?
0
Let t be (-1)/(-2) - 75/(-30). Calculate the remainder when 40 is divided by (9 - -6) + (-1 - t).
7
Let i(x) = -1 + 5 - 5 - 3*x**2 - 2*x + 17*x**2. What is the remainder when 56 is divided by i(-1)?
11
Suppose -3*x - 4 - 2 = 0. Let t = x + 4. Calculate the remainder when (3/t)/(2/48) is divided by 13.
10
Let l be (-6 + 4 - 19)*33/(-9). Suppose i + l = 2*i. What is the remainder when i is divided by 21?
14
Let o be -1 + -48 - (15 - 13). Let k = -35 - o. What is the remainder when 58 is divided by k?
10
Suppose 3*k + 6 = m, -k = -4*m - 0*k + 13. Suppose 2*g - 13 = -3*y + 118, 2*y - m*g - 96 = 0. What is the remainder when y is divided by 16?
13
Let m be ((-2)/(-5))/(3*6/12510). Let u = m + -191. Let f = -10 + 28. Calculate the remainder when u is divided by f.
15
Let x(h) = 2*h**2 - 17*h + 12. Let w be x(8). What is the remainder when (-9)/(-36) - (-83)/w is divided by (12 - 0)/((-18)/(-12))?
5
Let c(a) = -7*a**3 + a**2 - 4*a - 7. Let q be c(-2). Let r = q - 44. What is the remainder when r is divided by 3?
2
Let z be ((-14)/5)/((4/5)/4). Let g = z - -45. Calculate the remainder when 92 is divided by g.
30
Let v(u) = 189*u - 1505. Let h = 4 + -1. Calculate the remainder when v(8) is divided by h.
1
Suppose 5*n - 3*i - 45 = 0, 5*n + 3*i = -i + 80. Calculate the remainder when n is divided by 5.
2
Suppose 5*m + 5*g = 3*m + 4, 4*g = m - 2. Suppose 0 = 3*r + m*r - 115. Let s(a) = 67*a**3. What is the remainder when s(1) is divided by r?
21
Let x = 14 - 14. Suppose x = 7*q - 164 + 59. What is the remainder when 39*(2/3)/1 is divided by q?
11
Suppose 2*n - 72 + 8 = 0. Suppose 5*r - 4*r = n. Calculate the remainder when r is divided by 7.
4
Suppose -3*n = 3*u - 3, 2*u + 2*u = 8. Calculate the remainder when 99 is divided by (n + 40)/((15/(-2))/(-5)).
21
Let q(y) = 0*y + 3 - 3*y + 5*y. What is the remainder when q(8) is divided by (4/2)/(7/((-147)/(-6)))?
5
Let v = -22 - -23. Let j be (-3 + -2)*4/(-10). Calculate the remainder when (v - -12)/(-1 + j) is divided by 8.
5
Let j = -158 + 201. Suppose -4*b + 88 = -0*b. Calculate the remainder when j is divided by b.
21
Let p = 281 + -239. What is the remainder when 83 is divided by p?
41
Suppose -4*q + 22 + 6 = 0. Suppose 2*u - u = q. What is the remainder when 41 is divided by u?
6
Suppose 19*s + 12*s - 868 = 0. What is the remainder when 203 is divided by s?
7
Let s(y) = y**2 - 3*y - 18. Let q be s(6). Let k = 29 - q. Calculate the remainder when 57 is divided by k.
28
Suppose -703 = -11*w + 1156. What is the remainder when w is divided by 57?
55
Suppose -g - 2*f = 3*g - 264, 3*g + 4*f - 203 = 0. Calculate the remainder when 389 is divided by g.
64
Let w = 60 - 53. Suppose -w*q + 43 + 41 = 0. Calculate the remainder when 35 is divided by q.
11
Let i be (7 - 3)*-1 + 1. Let w be (-2)/i + 1088/51. Suppose -2*d - w = -36. What is the remainder when 9 is divided by d?
2
Suppose -16*r - 235 = -379. Let p = -26 + 51. Calculate the remainder when p is divided by r.
7
What is the remainder when -9*(-12 + 2) + -1 is divided by 10?
9
Suppose 4*n = n - 4*l + 175, -n = -l - 49. Calculate the remainder when n is divided by 18.
17
Suppose u + 21*u = 3036. Calculate the remainder when u is divided by 14.
12
Let f(t) = -3*t**2 + 7*t + 7. Let k be f(3). Let u(n) = 6*n - 2. What is the remainder when 7 is divided by u(k)?
3
Suppose 3*h - 3 = -4*g - 1, -g - 5 = -2*h. Suppose 2*o - 102 = -4*t, -12 = t + o - 39. Calculate the remainder when t is divided by 2 + g + -1 - -14.
10
Let a = -22 - -22. Suppose 0 = 5*t + 2*u + 2*u - 38, -t + u + 4 = a. What is the remainder when 72 is divided by (45/(-6))/((-3)/t)?
12
Let r = 62 + -6. Calculate the remainder when r is divided by -1 - (5 - (0 - -35)) - 0.
27
Suppose 4*s - 4*q - 140 = 0, -s - 5*q + 6 + 11 = 0. What is the remainder when 124 is divided by s?
28
Suppose 3689*r + 500 = 3693*r. Calculate the remainder when r is divided by 46.
33
Let l be (16/6 + -3)*6. Suppose 0*q - j - 39 = -q, -4*q = 2*j - 126. What is the remainder when q is divided by (-2 - -3) + l - -13?
10
Let l = 327 + -219. Suppose -3*p + 3 = -3*s, -s - 5*p + 11 = -2*p. Suppose -3*f + 2*o = s*f - l, 4*o = -f + 26. Calculate the remainder when f is divided by 12.
10
Let f(v) = -v + 23. Let o be f(8). Let y = o + 39. What is the remainder when y is divided by (-29)/(-2) + 2/(-4)?
12
Suppose -2*d = k - 2 - 4, 10 = 4*d + 3*k. Suppose -4*r = 5*x - 1895, -2*r - 1436 = -d*x + 54. Calculate the remainder when 74 is divided by x/(-10)*4/(-6).
24
Suppose 6*o + 107 - 100 = 73. Calculate the remainder when 8/(-10)*(-245)/2 is divided by o.
10
Let x(q) be the third derivative of 0 + 0*q**4 + 0*q + 1/60*q**5 - 4/15*q**6 + 0*q**3 + 14*q**2. What is the remainder when x(-1) is divided by 18?
15
Let v be (-69)/46*(-424)/3. Let z be 10/45 + v/18. Suppose 2*w - 4*b = 0, -3*b - 2*b = -4*w + z. What is the remainder when 38 is divided by w?
6
Calculate the remainder when 134 + 3 + 0/(-2) is divided by 2/4 - -1 - (-966)/28.
29
Let i(n) = 8*n + 61. Let v be i(12). Let u = 269 - v. What is the remainder when u is divided by 29?
25
Calculate the remainder when 54 is divided by ((-1)/((-4)/(-6)))/(207/(-1518)).
10
Suppose -3*f - 5 = 4, 5*m + 5*f = 1070. Calculate the remainder when m is divided by 44.
41
Let w be 3 - (0 + -2)*1. Let f = 8 - w. What is the remainder when f*(0 + -2 + 3) is divided by 1?
0
Suppose 3*l - 89 = -3*z - 11, -2*l - 44 = -2*z. What is the remainder when 90 is divided by z?
18
Suppose -59*k + 914 = -1151. What is the remainder when 70 is divided by k?
0
Let x = 9 - 7. Suppose f - x*f = -19. Suppose 5*i - 365 = -5*u, -4*u + 4*i + 295 = 5*i. Calculate the remainder when u is divided by f.
17
Let x be (1 + -1)*1/2. Suppose x = 2*p - 3*p. Suppose -l +