et x = 9 - 32. Let q = -13 - x. What is the remainder when 29 is divided by (-4)/q - 82/(-5)?
13
Suppose 14*g - 64 = 16*g. What is the remainder when 166 is divided by -3*g/(-12)*-3?
22
Calculate the remainder when ((-975)/(-100))/(3/4) is divided by 12.
1
Let m = 13 + -23. Let n be 130/18 - m/(-45). Suppose -n*x = -3*x - 32. What is the remainder when 21 is divided by x?
5
Let n(v) = 2*v - 57. Calculate the remainder when 59 is divided by n(36).
14
Suppose 2*r - 6*r = -5*n - 10, 0 = -r + 5. Suppose 0 = n*o - 83 + 9. Calculate the remainder when 147 is divided by o.
36
Suppose -3*p + 752 = 13*p. Suppose -3*k - 5*j + 397 = 0, -2*k + 5*j + 139 + 159 = 0. What is the remainder when k is divided by p?
45
Let l(d) = -59 + 33 + 11*d - 16. Calculate the remainder when 14 is divided by l(4).
0
Let z = 621 - 383. Suppose 4*f + 3*v = z, -5*v - 22 = -f + 49. What is the remainder when f is divided by 31?
30
Let u(r) = -14*r - 2. Let g be u(3). Let n = 90 + g. Suppose 3*l + 5*m + 32 = 4*l, 4*l = 5*m + 68. Calculate the remainder when n is divided by l.
10
Suppose -2*p + 6*p + 4*v - 404 = 0, -p - 5*v + 113 = 0. Suppose -7*y = p - 245. What is the remainder when y is divided by 11?
10
Let s(z) = z**2 + z + 154. What is the remainder when s(0) is divided by 40?
34
Suppose -7*r + 5*k = -3*r - 659, k = -5*r + 802. What is the remainder when r is divided by 33?
29
Let g(k) = -k**3 - 6*k**2 - 16*k + 18. Calculate the remainder when g(-9) is divided by 6.
3
Let j = 578 + -547. What is the remainder when 56 is divided by j?
25
Let a(t) = -t**3 - 9*t**2 + 21*t - 7. Suppose p + 4*h - h = 1, -3*h + 45 = -3*p. Calculate the remainder when 6 is divided by a(p).
2
Let b = 17 + -11. Let s(j) = 3 + b*j - 17*j - 1 + 10*j. Calculate the remainder when 8 is divided by s(-3).
3
Let t(x) = -x**3 + 6*x**2 + 7*x - 7. Let d(h) = h**3 - 12*h**2 + 11*h + 14. Let r = -51 + 62. Calculate the remainder when t(5) is divided by d(r).
11
Let c(n) = -n - 13. Let x be c(-16). Suppose -j + 7 = g, x*g + 0*j = 2*j + 31. Let l = 28 - 2. What is the remainder when l is divided by g?
8
Suppose -4*o = -2*o + 3*z - 14, 0 = -o - z + 8. Let u = 26 - 13. Calculate the remainder when u is divided by o.
3
Let z(i) = 2*i**3 + 9*i**2 - 3*i - 15. Let o(n) = -2*n**3 - 10*n**2 + 4*n + 14. Let c(x) = -3*o(x) - 2*z(x). What is the remainder when 70 is divided by c(-6)?
22
Let w = 15 + 19. What is the remainder when w - 5 - (-1 + 2) is divided by 5?
3
Let z(f) = 10*f - 58. Suppose 18*c - 10*c = 56. Calculate the remainder when 68 is divided by z(c).
8
Let y(m) = -m**2 + 8*m - 4. Let g be y(7). Suppose u - 546 = -5*n - g*u, -1 = u. What is the remainder when n is divided by 19?
15
Let s(a) = 8*a**2 + 6*a - 2. Let d be s(-3). Suppose h = -0*h - n + d, 0 = h - 2*n - 37. What is the remainder when h is divided by 24?
23
Let m(r) = -r**3 + 27*r**2 + 26*r + 28. Let a be m(28). Let u = a + 46. Calculate the remainder when 99 is divided by u.
9
Suppose -5*p - 4*k = -9*k - 350, -3*k = 5*p - 334. Let g(h) = h + 14. What is the remainder when p is divided by g(0)?
12
Let f = 120 - 115. Suppose 0 = -f*s - 4*b + 5*b + 78, 2*b + 81 = 5*s. Let n(m) = -21*m. What is the remainder when n(-2) is divided by s?
12
Let s(k) = k**3 - 10*k**2 + 14*k + 3. Let n be s(6). What is the remainder when 2/(-4)*(-5 + n) is divided by 21?
10
Let n = 227 + -224. Let b = -1 + 4. What is the remainder when b is divided by n?
0
Let i be 3 + -6 + 4 - 116/(-2). Suppose 47 = 3*x + 2*p, -4*x + 3*p + i = -32. What is the remainder when 74 is divided by x?
17
Suppose 325 + 1439 = 6*x. Calculate the remainder when x is divided by 74.
72
Let k(h) = 4*h**3 - h**2 + 1. Let f be k(1). Suppose f*n = 10 - 2. Suppose -161 + 39 = -n*t. Calculate the remainder when t is divided by 21.
19
Let t(j) = j**3 + 4*j**2 + 4*j - 1. Let v be t(-3). Let r(x) = -6*x - 2. Let h be r(-2). Let p = v + h. What is the remainder when 22 is divided by p?
4
Calculate the remainder when 4/18 - (2 + (-2586)/27) is divided by 14.
10
Let u = 1511 - 1497. Let p(k) = 21*k - 1. What is the remainder when p(4) is divided by u?
13
Let f = -35 - -50. Let z(o) = f - 3*o - 5 + 8*o - 8. What is the remainder when z(6) is divided by 13?
6
Suppose -15 = -17*k + 16*k. Suppose -5*o = -m - 4*m - 55, -k = 5*m. What is the remainder when 63 is divided by o?
7
Let x = 44 + 17. Let y = -7 - -14. Calculate the remainder when (y - 6) + x*1 is divided by 13.
10
Suppose 29 = 5*m + c, 0 = 5*m + 6*c - 10*c - 9. Let p(r) = 7*r + 1. Let g be p(-2). Let x = -4 - g. What is the remainder when x is divided by m?
4
Let u be (24/2)/(3/(-6)). Let j = u - -41. Calculate the remainder when 67 is divided by j.
16
Suppose -10*x = -1571 + 201. Suppose 10 = v - 26. Calculate the remainder when x is divided by v.
29
Let r(g) = g**2 - 6*g - 1. Let u(i) = -2*i**2 + 5*i**2 - 1 + 5*i - 2 + 2. Calculate the remainder when u(-5) is divided by r(9).
23
Suppose -5*p - 12 - 8 = 0, -5*l - 3*p = 7. Suppose 4*s + 8*n - 16 = 7*n, -4*n - l = 3*s. What is the remainder when 24 is divided by s?
4
Suppose 7 = 7*j - 21. Suppose 3*w - 4*w + 5*o + 15 = 0, o + 41 = j*w. What is the remainder when 18 is divided by w?
8
Calculate the remainder when 7/(98/70) + 1 + 746 is divided by 109.
98
Let u = -26 + 67. Suppose -6 = 3*l + 3*h - 90, 0 = -l - 3*h + 38. Let x = u - l. Calculate the remainder when 70 is divided by x.
16
Suppose 5*z + 3*n - 35 = 0, -11 = -z + 4*n - 4. Calculate the remainder when 214 is divided by z.
4
Suppose 297 = 3*i + 3*x, 0 = 2*i - x - 133 - 65. Let m = i - 83. Calculate the remainder when 61 is divided by m.
13
Let t = -325 + 337. What is the remainder when 46 is divided by t?
10
Suppose 0*l = 3*l - 9. Suppose 0*t - 5 = -5*t, 2*t = -5*w + 12. Suppose -l*n + 140 = w*a, 4*n + 4*a - 196 = -a. Calculate the remainder when n is divided by 9.
8
Suppose 44*i = 40*i + 8. Suppose 3*u + 2*q = -3*q + 16, 28 = 3*u + i*q. What is the remainder when 21 is divided by u?
9
Let q(c) = -c**3 + 8*c**2 - 3*c - 11. Let x be q(7). Suppose 4*p - 108 = -4*f, x + 8 = 5*p. What is the remainder when 43 is divided by f?
21
Let c = -20 - -25. Suppose 7*y - 61 = -c*u + 3*y, 0 = 4*u + 4*y - 52. What is the remainder when 15 is divided by u?
6
Let i be -26*(44/(-8) + 4). Suppose -20 = -5*a, -2*a + 86 = 3*y - i. Calculate the remainder when y is divided by 15.
9
Suppose 27*f = 3443 + 1471. Calculate the remainder when f is divided by 38.
30
Suppose 9*c + c = 140. Calculate the remainder when 92 is divided by c.
8
Let n(y) = 9*y + 8. Let i(h) = h**2 - 3*h - 1. Let o be i(5). Suppose o - 22 = -g. What is the remainder when g is divided by n(0)?
5
Suppose -10 = 5*a, 3*q - 7 = 4*a + 16. Suppose -p + 5*p - 5*r = 130, 0 = -q*p + 5*r + 165. What is the remainder when p is divided by 12?
11
Suppose 5*w = -5*y + 3*w + 50, 4*w - 30 = -3*y. What is the remainder when 15 is divided by y?
5
Let n(r) = 78*r**3 + r**2 + 3*r - 3. Let x = -70 + 71. Calculate the remainder when n(x) is divided by 21.
16
What is the remainder when 228 is divided by -4*(-3 + (-11)/4)?
21
Let w(u) = -5*u**3 + 95*u**2 + 4*u + 31. What is the remainder when w(19) is divided by 77?
30
Let k(z) = 51*z - 42. Calculate the remainder when k(3) is divided by 28.
27
Let s = 31 - 10. Suppose -p - 2 + 4 = 0. Let b(m) = 36*m - 10. Calculate the remainder when b(p) is divided by s.
20
Let n be (12 - 9)/(2/(8/3)). Suppose -3*p - n*i = -95, 2*i + 1 = -4*p + 111. Calculate the remainder when p is divided by 14.
11
Calculate the remainder when (3 + 36/(-15))/((-5)/(-525)) is divided by 41.
22
Calculate the remainder when 724 is divided by (2541/(-14))/((-6)/8) - 2.
4
Suppose 3*c = 3*j - 0*c - 18, -5*j - c + 24 = 0. Let u be (4/j)/((-2)/(-50)). Let z = 29 - u. What is the remainder when 15 is divided by z?
6
Let m(q) be the first derivative of q - 10. Let i(n) = -n - 4. Let d(f) = 2*i(f) + 14*m(f). What is the remainder when 26 is divided by d(-4)?
12
Suppose 5*j + x = 181, 0 = -5*j - 2*x - 3*x + 165. What is the remainder when j is divided by 3?
1
Suppose 4*b - 5*c + 266 = 0, 5*b - 5*c = -2*c - 339. Let n = b + 72. Calculate the remainder when n is divided by 3.
0
Suppose -4*t = 8, 2*i + 121*t = 118*t + 746. What is the remainder when i is divided by 98?
82
Let v = -434 + 466. What is the remainder when 6