 remainder when (10/25)/(1/80) is divided by j?
15
Suppose 27 - 127 = -4*m. Suppose 0 = -s - 5*s + 2862. Suppose -s = -3*d - 183. Calculate the remainder when d is divided by m.
23
Suppose -112 = -m - 73. What is the remainder when m is divided by 27?
12
Suppose -2*o = -7*o + 805. Calculate the remainder when o is divided by (-246)/4*(-16)/24.
38
Let t(i) = 15*i - 1. Suppose 883*j = 889*j - 300. What is the remainder when t(10) is divided by j?
49
Suppose -2*o + 5*a = -85, 158 = 6*o - 2*o + 2*a. Suppose 3*c = c - o. What is the remainder when 6 is divided by 0 + (-4)/(16/c)?
1
Let u(q) = q**3 - 15*q**2 - 14*q - 11. Suppose -5*h + 58 = -3*z, -3*h - h + 5*z = -49. What is the remainder when u(16) is divided by h?
10
Let h = 27 + -35. Let c = h - -22. What is the remainder when c is divided by 9?
5
Suppose -102*n = -109*n + 35. Calculate the remainder when 13 is divided by n.
3
Let x(g) = -2*g**2 - 3*g - 629. Let s(u) = u**2 + 2*u + 419. Let a(t) = 8*s(t) + 5*x(t). What is the remainder when a(0) is divided by 14?
11
Let k be 3/(-4) + 102/8. Let j = -9 + k. Suppose 119 = j*u - 91. What is the remainder when u is divided by 18?
16
Suppose u - 22 = 4*t, -2*t - 8 + 4 = -4*u. Calculate the remainder when 22 is divided by 3 - (t - (-4 - -4)).
4
Let y = -123 - -164. What is the remainder when y is divided by (-2)/14 + 234/21?
8
Suppose 0 = -a + 10*a - 90. Let k(n) = 6*n - 13. What is the remainder when k(a) is divided by 16?
15
Let i(r) = 32*r + 31. What is the remainder when 1083/12 + (-3)/(-4) is divided by i(0)?
29
Let p(o) = o**3 - 13*o**2 - 7*o - 7. Calculate the remainder when p(14) is divided by 23.
22
Suppose 3*q + 82 = 2*w - 110, -4*w + 340 = 5*q. Calculate the remainder when w is divided by 58.
32
Let d(b) = -12*b - 68. Calculate the remainder when d(-9) is divided by 15.
10
Suppose -8*l - 4898 = -16834. Calculate the remainder when l is divided by 13.
10
Let f be 1/(((-1)/1)/(-45)). Suppose -7*l + 12*l - f = 0. Let p = 62 + -38. Calculate the remainder when p is divided by l.
6
Suppose -2*v - v + s = -13, -5*s = 20. Suppose -5*b - 11*n = -13*n - 25, 0 = -b + 2*n + 5. What is the remainder when b is divided by v?
2
Suppose 101 = 2*z + 3*z + 3*o, -61 = -3*z - 2*o. Suppose 3*t - z = 8. Let b = 18 - t. What is the remainder when 35 is divided by b?
8
Let w(a) = -21*a - 105. Calculate the remainder when 217 is divided by w(-10).
7
Let w(m) = m**3 - 3*m**2 + 2*m + 5. Calculate the remainder when 85 is divided by w(4).
27
Let j = 545 - 501. What is the remainder when 173 is divided by j?
41
Let v(a) = -a**3 - 4*a**2 + 7*a. Let j(k) = k - 1. Let u(d) = j(d) + v(d). Calculate the remainder when 89 is divided by u(-6).
20
Suppose w = -2*w + 2*y + 33, -2*w - 3*y + 35 = 0. Let x(g) = -g**3 + g - 2. Let o be x(-3). Let t = o + -14. What is the remainder when w is divided by t?
5
Suppose -5*m + 114 = 64. What is the remainder when 66 is divided by m?
6
Let a be 1*1/(-3)*33. Let u = a - -31. Calculate the remainder when 200/(-12)*(-24)/u is divided by 12.
8
Suppose 0 = 4*b + 5*t - 1445, 4*b = 5*t + 842 + 633. Suppose -k + b = 5*h - 3*k, -3*k + 73 = h. Let s = 49 - 24. Calculate the remainder when h is divided by s.
23
Suppose -891*v = -883*v - 1360. Calculate the remainder when v is divided by 53.
11
Let w = -685 + 686. Let k = 1 + 1. Let j = 1 + k. Calculate the remainder when j is divided by w.
0
Let q = 21 - 10. Let i = 65 + -34. Calculate the remainder when i is divided by q.
9
Suppose 0*g = -12*g + 600. What is the remainder when g is divided by 11?
6
Let d = 198 - 188. Suppose 0 = -2*s + 56 + 58. Calculate the remainder when s is divided by d.
7
Let r = -209 - -235. Suppose 2*d - 204 = -0*d. Calculate the remainder when d is divided by r.
24
Let q be 1*(9*2 + -1). Let r = 39 - q. Calculate the remainder when (-1)/(-3)*(-12)/8*-170 is divided by r.
19
Let c(o) = 2*o**2 + 2*o - 2. Let k be c(-2). What is the remainder when 47 is divided by (714/105)/(k/5)?
13
Let c(x) = x**2 + 2*x + 6. Let b = -89 - -100. Suppose 7*t = b*t - 208. Calculate the remainder when t is divided by c(-4).
10
Let p(m) = -m**2 - 18*m - 30. Let k be p(-16). Suppose 0*n - 22 = 2*n + 2*f, 0 = -4*n - f - 41. Calculate the remainder when 24 is divided by 3/k*n/(-3).
4
Let f = -88 + 142. Let g = 8 - -30. Suppose -3*o + o + g = 0. Calculate the remainder when f is divided by o.
16
Suppose 5*u = -4*y + 15, -43 = -u - 4*y - 56. Calculate the remainder when 782 is divided by u.
5
Let m(k) = -k**2 + 30*k - 1. Calculate the remainder when m(8) is divided by 11.
10
Let a = 3 + -5. Let y be ((-13)/a)/(-1)*-2. Suppose 0 = 3*b + y - 106. What is the remainder when b is divided by 17?
14
Suppose -40*a = -44*a. What is the remainder when 12 + (0 - a) - 3 is divided by 4?
1
Suppose -209 = -4*b + 5*a - 54, -a = -b + 40. Let g(r) = -r + 10. What is the remainder when b is divided by g(-13)?
22
Let b(n) = -n**2 + 5*n + 21. Suppose 0*a + 660 = -4*a. Let v = a + 237. Calculate the remainder when v is divided by b(4).
22
Let w(l) = -6*l + 25. Let c be w(4). Let d(h) = 7*h**3 + h - 2. Suppose -40 = 2*i - 6*i. What is the remainder when i is divided by d(c)?
4
Let m(g) = -8*g**2 - 2*g + g**3 - 1 - 5*g - 11. Calculate the remainder when (2/6)/(-1)*-57 is divided by m(9).
1
Let a be 3*3*27/3. Let m = a + -46. Let o = 21 + -3. What is the remainder when m is divided by o?
17
Suppose 10 + 14 = 4*x. Let r(b) = b**3 - 4*b**2 - 5. Let c be r(4). Let i(j) = 2*j**2 + 5*j - 3. Calculate the remainder when i(c) is divided by x.
4
Suppose -3*c + 5*x + 603 = 203, -2*c + x = -262. Suppose 6*n - 4*n = c. Calculate the remainder when n is divided by 34.
31
Let h(n) = 22*n**2 - 3*n. Let p = 96 + -95. Suppose 6*z = z + 280. Calculate the remainder when z is divided by h(p).
18
Suppose -4*d = -5*p + 653, -10*d + 6 = -13*d. Calculate the remainder when p is divided by 11.
8
Suppose 9*s + 0*s = 315. What is the remainder when 121 is divided by s?
16
Let a = -29 + 66. Calculate the remainder when 120 is divided by a.
9
Let a(n) = 85*n**2 + n. Let g be a(-1). Suppose 2 = -o + g. Calculate the remainder when o is divided by 21.
19
Let r = -209 - -235. Calculate the remainder when 123 is divided by r.
19
Let p be 4/(4/(-12)*-3). Let a = p + 26. Calculate the remainder when a is divided by 9.
3
Let b be 8*1 - (13 - 10). Suppose 9*n - 4*n = 3*i + 158, b*n = i + 156. Calculate the remainder when n is divided by 8.
7
Let k = -1088 + 1286. Calculate the remainder when k is divided by 40.
38
Let f = 1450 + -1436. What is the remainder when 31 is divided by f?
3
Suppose -307 = -5*f - 82. Calculate the remainder when f is divided by 24.
21
Let y be (-2 + 1)/((-4)/(-20)). Let q = y - -24. What is the remainder when 73 is divided by q?
16
Let u be ((-4)/6)/((-4)/12). Suppose -5*q = -u*q - 6. Calculate the remainder when 19 is divided by q.
1
Let b be (36/(-8))/((-1)/(-2)). Let x = b + 9. Suppose x = 3*m + 4 - 169. What is the remainder when m is divided by 19?
17
Suppose -3*o = -2*i + 44, 5*i - 3*o - 2*o - 100 = 0. What is the remainder when 137 is divided by i?
9
Let p(y) be the third derivative of 13*y**5/60 + y**4/8 + y**3/3 + 4*y**2. Let u = 52 - 18. Calculate the remainder when u is divided by p(-1).
10
Suppose 2*p + 4*d = p + 21, 4*p - 2*d - 174 = 0. What is the remainder when 168 is divided by p?
4
Let t be 1*1/(-6) - 15311/(-1506). Suppose -d - 5 = 0, 6*u - u - 90 = 5*d. Suppose -9*r - u = -t*r. Calculate the remainder when r is divided by 4.
1
Let n = 348 - 281. Calculate the remainder when 198 is divided by n.
64
Let n = 123 + -64. Suppose -7*g - 675 = -22*g. Suppose -5*x - 2*k = -3*k - 75, 0 = 3*x + 2*k - g. What is the remainder when n is divided by x?
14
Let q(l) = -l + 3. What is the remainder when q(-13) is divided by (3/(-2))/((-5)/30)?
7
Let r(a) = a**3 + 13*a**2 + 9*a - 20. Suppose 0 = -43*k + 37*k + 54. What is the remainder when r(-12) is divided by k?
7
Let i(h) = -7 + 10 + 16 + 5*h + 9. Calculate the remainder when 60 is divided by i(-3).
8
Let y be (2 - 3)*(-5 - -15). Let b be 542/12 + y/60. Calculate the remainder when 524/10 - 18/b is divided by 27.
25
Let z(v) = 4*v - 5. Let b be z(5). Let t = -9 + b. Suppose -12*y + 236 = -112. Calculate the remainder when y is divided by t.
5
Calculate the remainder when 29