 when 15/6*760/25 is divided by 19.
0
Let g be (-30)/(-165) - (-24)/(-11). What is the remainder when 29 is divided by (2 + (-11)/g)*(-44)/(-33)?
9
Let r(u) be the third derivative of u**5/30 + 7*u**4/8 + 4*u**3/3 - 25*u**2. Calculate the remainder when r(-13) is divided by 21.
10
Let b = 629 - 357. Suppose 27 = -5*q + b. Let f = -7 + 33. Calculate the remainder when q is divided by f.
23
Suppose 3*z + 25 = 8*z, -55 = -5*f - 5*z. Calculate the remainder when 27 is divided by f.
3
Suppose -4*g = -8*g + 16. Suppose g*k - 132 = -4*t, 2*k - 123 = -4*t + k. Calculate the remainder when t is divided by 4.
2
Suppose 2*o + 2*o - 2*z + 8 = 0, -3*o - 13 = 2*z. Let s = 3 + o. Suppose -2*u - 3*u + 225 = s. What is the remainder when u is divided by 12?
9
Let i(c) = c + 58. Suppose -9*y + 5*y + 56 = 0. What is the remainder when i(24) is divided by y?
12
Suppose -3*s = s + m - 5, -2*m + 1 = -s. Let n(y) = -7*y - 18 - s + 8*y - 3*y. What is the remainder when 34 is divided by n(-14)?
7
Let i = -4205 + 4218. Suppose -4*d - 3*y - 14 = -317, -2*y = -2. Calculate the remainder when d is divided by i.
10
Suppose -3*k - 4*q = -148, 21*k - 4*q - 72 = 19*k. Calculate the remainder when k is divided by 27.
17
Suppose -b - 3*k + 16 = 2, 2*b - k - 49 = 0. Calculate the remainder when 55 is divided by b.
9
Let h = 60 - -43. Calculate the remainder when h is divided by 19.
8
Let i(w) = -w**3 + 10*w**2 - 6*w - 8. Suppose 2*a - 2*y = 10, -a - 5*y = -3*a - 2. Calculate the remainder when i(a) is divided by 13.
6
Suppose -8*t + 66 = 3*t. Suppose -10*q + 284 = -t*q. Calculate the remainder when q is divided by 24.
23
Suppose 10*k - 13*k + 201 = 0. Let u = k - 57. What is the remainder when u is divided by 6?
4
Let o(d) = d**2 + 8*d + 4. Let z be o(-8). Suppose -2*h - z*c + 13 = -69, h = 2*c + 41. Calculate the remainder when 161 is divided by h.
38
Suppose -35 = -r - 5*f + 114, -2*r + 272 = -3*f. Suppose -3*p - r = -6*p + q, 0 = 3*p - 2*q - 137. Calculate the remainder when p is divided by 24.
23
Let w = -44 + 66. Let j be -1*3/(-9)*(4 - -11). Suppose -91 = 2*q - 3*q + j*u, -3*u = q - 83. What is the remainder when q is divided by w?
20
Let n = 20 - 24. What is the remainder when (-18)/15*20/n is divided by 3?
0
What is the remainder when (1 + -2)*5 + 6966/258 is divided by 9?
4
Let b(o) = 15*o + 158. Calculate the remainder when 1010 is divided by b(-9).
21
Let j = 68 + -63. Let f = j + 11. Calculate the remainder when 45 is divided by f.
13
What is the remainder when 15 is divided by (-3 - (-77)/22)*22?
4
Let s = 18 + -17. Suppose -5*r - s = -11, r = -5*q + 42. What is the remainder when 23 is divided by q?
7
Suppose 0*l = 11*l - 77. What is the remainder when 116 is divided by l?
4
Suppose -6391 - 459 = -25*w. What is the remainder when w is divided by 46?
44
Suppose 14*j = -24*j + 4826. What is the remainder when j is divided by 16?
15
Suppose -c - c = 202. Let j be c/(-11) + (-8)/44. Calculate the remainder when 52 is divided by j + 4/(4 - 2).
8
Let q(v) = -9*v - 4. Let p(n) = -3 - 13*n - 6*n - 2 - 2. Let s(w) = 6*p(w) - 13*q(w). Calculate the remainder when s(8) is divided by 12.
10
Suppose -51*g + 2022 = -2415. Calculate the remainder when g is divided by 42.
3
Suppose 0 = -0*l + l - 38. Suppose 0 = a - 5, -3*g + 71 = -2*a - 144. Calculate the remainder when g is divided by l.
37
Let p(j) = 34*j**2 + j. Suppose 4*z = -z + 85. Suppose -3*m + 68 - z = 0. Calculate the remainder when p(-1) is divided by m.
16
Suppose -78 = 3*q - 9. Let n = q + 47. Let j(h) = 18*h**2 + 2*h + 2. What is the remainder when j(-2) is divided by n?
22
Let b(h) = h**3 + 3*h**2 - 3*h + 5. Let w be b(-4). Let s(t) = t**2 + 32*t + 44. What is the remainder when w*-2*23/(-2) is divided by s(-31)?
10
Suppose 2*c = 39 + 351. What is the remainder when c is divided by 7?
6
Suppose -3*q + 15 = -6. Let z(l) = 21*l**2 + 3*l - 2. Let h be z(q). Calculate the remainder when h/18 - (-16)/(-72) is divided by 20.
18
Let o(m) = 15*m - 4. Let j(h) = 16*h - 5. Let b(z) = 5*j(z) - 6*o(z). What is the remainder when 31 is divided by b(-1)?
4
Let t = 22 - -10. Suppose 0 = -5*d - 7 + t. What is the remainder when 28 is divided by d?
3
Let t(r) = 13*r**3 + r**2 + r - 1. Let n be t(1). Suppose -n*k + 13*k + 6 = 0. Calculate the remainder when 26 is divided by k.
2
Let z(i) = -33*i + 505. What is the remainder when 159 is divided by z(14)?
30
Suppose 0 = 2*l - 43 - 15. What is the remainder when l is divided by 9?
2
Let p(t) = -15*t + 457. What is the remainder when 152 is divided by p(30)?
5
Suppose -45 = -s + 4*w, -2*s - 3*w + 18 = -61. What is the remainder when 325 is divided by s?
38
Suppose 3*r - t = 403, 2*r + 3*t - 395 = -130. Calculate the remainder when r is divided by 46.
42
Suppose -24 + 4 = 5*b. Calculate the remainder when (1*17 - 0)*1 is divided by 20/6*((-26)/b - 5).
2
Let i(y) = 24*y + 229. Calculate the remainder when 701 is divided by i(-8).
35
Let c(j) = 109*j**3 + j**2. Let z be c(1). Suppose 5*f - 3*u = 2*u + z, 3*f - u = 58. Calculate the remainder when f is divided by 7.
4
Let w(g) = -g**3 + 13*g**2 + 18*g - 11. Suppose 2*x = 4*f - 100, 7*f - 5*x = 2*f + 130. What is the remainder when w(14) is divided by f?
21
Let u be (-4)/(-10) + 2/(-5). Let n(b) = 12*b - 453. Let h be n(38). Suppose -x - h*p + 4 = -2*p, u = p. What is the remainder when 9 is divided by x?
1
Let n(c) = 2*c. Let t be n(2). Suppose 0 = -6*g + t*g + 20. Let l(d) = 6*d - 14. Calculate the remainder when l(7) is divided by g.
8
Let y = 9 + 5. Suppose 0*i = -2*i + 10. Suppose -2*c = 4*b - 22, 3*b - 16 = -i*c + 6*b. What is the remainder when y is divided by c?
4
Let g be (-1)/1 + 242/11. Suppose -11*n + 14*n - g = 0. Calculate the remainder when 25 is divided by n.
4
Let d(o) = o**3 + 3*o**2 + o + 1. Let l be d(-2). Let v(k) = -l + 11*k - 2*k**3 - 7*k - 4 - 7*k - 11*k**2. What is the remainder when v(-7) is divided by 41?
38
Suppose -h + 9 = 5. Suppose 4 = 2*m + 3*t - 11, 4*m - h*t = 80. What is the remainder when 42 is divided by m?
12
Suppose -135 = 14*j - 961. Calculate the remainder when j is divided by 12.
11
Let q be (1 - -3 - 1) + 4/2. Suppose 0 = -y + 8 - q. Suppose 5*w = 4*c - 68, -4*c = 6*w - w - 68. Calculate the remainder when c is divided by y.
2
Suppose 14 = 2*x - 5*c, 5*c = -2*x - x + 21. What is the remainder when (-408)/(-14) + (-14)/98 is divided by x?
1
Suppose 4*m - 89 = m + 5*n, 2*m - 26 = -5*n. Suppose -17*y - 28*y = -135. What is the remainder when m is divided by y?
2
Let a(r) = 74*r - 6. What is the remainder when 194 is divided by a(1)?
58
Let v = -2956 - -4144. Let h be v/4 + (-4 - -3). Suppose -j + 9*j = h. Calculate the remainder when j is divided by 20.
17
Let p(x) be the first derivative of -x**2 + 2*x + 8. Calculate the remainder when 9 is divided by p(-2).
3
What is the remainder when 251 is divided by ((-15)/(-20))/(15/1680)?
83
Let j(p) = p**3 - 3*p**2 + 4*p - 2. Let d be j(3). Let a(r) = 2 - 4 + 0*r**2 + r**2 - d*r - 2*r**2. What is the remainder when 11 is divided by a(-9)?
4
Let i(q) = q**2 - 14*q - 15. Let p be i(8). Let n = 106 + p. What is the remainder when n is divided by 11?
10
Let b = 2104 - 2075. What is the remainder when 180 is divided by b?
6
Suppose -22 = -716*v + 715*v. Calculate the remainder when v is divided by 2.
0
Let g(f) = -24*f - 1. Let q = -22 - -21. Let l be g(q). Suppose 2*h - l = -5*x, -3*x = -3*h + x. What is the remainder when h is divided by 3?
1
Let d(q) = 3*q - 13. Let c be d(6). Let z = 6 + 0. Suppose 0 = -c*r + 3*r + z. What is the remainder when 7 is divided by r?
1
Let b = 2397 + -2387. What is the remainder when 13 is divided by b?
3
Let j = 17 - -9. Suppose -82 - j = -9*m. Suppose -3*r = 3, 5*r - 21 = -3*n + 112. What is the remainder when n is divided by m?
10
Suppose 14 = 8*i - 34. Suppose -i*k - 2*k = -480. Calculate the remainder when k is divided by 9.
6
Let f(x) = -x**2 - x - 1. Let v(m) = 30*m**2 - 6*m - 2. Let z(k) = -3*f(k) + v(k). Calculate the remainder when z(1) is divided by 4.
3
Suppose 19*s - 442 = 147. Let z(c) = -c**3 - 5*c**2 - 2*c + 6. Let w be z(-5). Let i = s - w. Calculate the remainder when 73 is divided by i.
13
Suppose 16*q - 30 = 18*q. What is the remainder when (1 + q/9)*-93 is divided by 13?
10
Let d(t) = -11*t - 195. Calculat