9
Let k = 58 - 52. Let r(v) = v**3 - 6*v**2 + 6*v - 21. What is the remainder when 103 is divided by r(k)?
13
Suppose -71 = -5*r + 134. Suppose r*c - 33*c = 88. What is the remainder when -2 + 1 + 22*1 is divided by c?
10
Suppose z - 4*l = -3, -3*z + 5 = -l - 4*l. Let c(n) = 2*n**3 - 8*n**2 + 4*n + 1. What is the remainder when c(z) is divided by 145/(-725) + 182/10?
17
Suppose 5*y - 446 = 729. Calculate the remainder when y is divided by 20.
15
Suppose 14 = 2*v - 10. What is the remainder when 544 is divided by v?
4
Suppose 3 = -q, -b - 5*q + 8 - 13 = 0. Calculate the remainder when 56 is divided by b.
6
Let v(y) = y**3 - 8*y**2 + 6*y - 3. Let l be 12/30 - (-38)/5. What is the remainder when v(l) is divided by 6?
3
Let i(n) = -7*n - 1. Suppose -4*m = 2*b - 12, 5*m + 7 = 2*b - 41. What is the remainder when 4/b + (-1550)/(-14) + -6 is divided by i(-4)?
24
Let w(v) be the third derivative of v**6/6 + v**5/30 - v**4/24 - v**3/6 + 16*v**2. What is the remainder when 38 is divided by w(1)?
18
Let z = -35 + 58. Let y = z + -12. Suppose -6*a + 91 = -y. What is the remainder when a is divided by 9?
8
Suppose -5*f = 42 + 73. Let x = 20 + f. Let l(p) = -16*p. Calculate the remainder when l(x) is divided by 10.
8
Let v(i) = -i**2 - 9*i - 12. Let m(x) = -x - 1. Let c(g) = 6*m(g) - v(g). Calculate the remainder when c(8) is divided by 16.
14
Let o(r) = -2*r + 73. Let s(d) = 229*d - 2. Let c be s(-1). Calculate the remainder when o(0) is divided by (-3)/12 - c/12.
16
Let x(d) = -d - 1. Let i(n) = 2*n**2 + 18*n + 3. Let w(h) = -i(h) - 3*x(h). Calculate the remainder when 53 is divided by w(-7).
4
Let p(m) = 4*m**3 + 7*m**2 + 3*m - 6. Let h be p(-5). Let t(b) = -3*b**2 - 66*b - 199. What is the remainder when t(-17) is divided by (-2)/9 + h/(-18)?
18
Let z = 114 - 112. Suppose z*w = -10*w + 240. What is the remainder when 70 is divided by w?
10
Let u(m) = -70*m - 1. Suppose j - 64 + 3 = -5*d, 3*d = 4*j + 55. Let y = d - -5. Calculate the remainder when u(-1) is divided by y.
15
Let b = -336 - -405. What is the remainder when b is divided by 36?
33
Let g = 214 - 155. What is the remainder when g is divided by 37?
22
Suppose -4*h + m = -69, 4*m + 39 = 5*h - 50. Let l = -2 + h. Let b(w) = -2*w + 27. What is the remainder when b(-15) is divided by l?
12
Let z be 84/24*(-8)/(-14). Suppose z*r - 37 - 9 = 0. Let n = 24 + -11. Calculate the remainder when r is divided by n.
10
Let t = -58 - -160. What is the remainder when 401 is divided by t?
95
Let c be (2/(-6))/(4/(-252)). Let a = c - 21. Let n(s) = -s**2 - s + 10. Calculate the remainder when 58 is divided by n(a).
8
Suppose 0 = -15*g + 7019 + 2866. Calculate the remainder when g is divided by 20.
19
Let b = 1489 + -857. What is the remainder when b is divided by 71?
64
Suppose -25*m = -30*m + 40. Calculate the remainder when m is divided by 7.
1
Suppose 2*u = 4*u + 4, 428 = -3*d - 4*u. Let y = -69 - d. Calculate the remainder when y is divided by 18/(-21)*-7*3.
17
Let l(m) = 22*m**2 - 3*m. Calculate the remainder when l(-2) is divided by 26.
16
Let n = 160 - 156. Let l(w) = -w + 5. Calculate the remainder when n is divided by l(3).
0
Suppose 6*n - 4*k + 81 = 11*n, k + 1 = 0. Let z be (-1 + -2)/(1/2). What is the remainder when n is divided by (-1)/(1/z) + -1?
2
Let q = -19 - -24. Suppose -z = u + z - 5, -u + q*z = -12. What is the remainder when u is divided by 4?
3
Suppose 6*z + 475 = 5*x + 2*z, -2*x - 2*z + 172 = 0. Calculate the remainder when x is divided by 19.
15
Let v(z) = 2*z**3 + 1. Let w be v(1). Suppose 28 = w*c - 71. Suppose 24 + c = 3*g. What is the remainder when 55 is divided by g?
17
Let p = 112 - 107. Let w(t) = 4*t - 15. Let m(b) = 3*b**2 - b. Calculate the remainder when w(p) is divided by m(-1).
1
Let j be -2 + -1 - (-2 + 5). Let c = 64 + j. Let z(q) = -3*q - 6. Calculate the remainder when c is divided by z(-7).
13
Suppose -5*z - 16 = -6. Let l(k) = -35*k + 16. Let t(c) = -9*c + 4. Let r(n) = z*l(n) + 9*t(n). Calculate the remainder when r(-2) is divided by 7.
5
Let r(k) = -k**3 + 8*k**2 - 3*k + 18. What is the remainder when r(6) is divided by 59?
13
Calculate the remainder when (-254)/(-6) - ((-119)/21 + 5) is divided by 11.
10
Let t = 53 - 50. Suppose h + t*h = 16. Calculate the remainder when 7 is divided by h.
3
Suppose 0 = -13*v + 1896 + 1029. What is the remainder when v is divided by 60?
45
What is the remainder when 6/(-14) + ((-59928)/(-14))/6 is divided by 40?
33
Let m(w) = w**2 - w - 1. Let t(s) = -15*s**2 + 6*s + 11. Let b(p) = -3*m(p) - t(p). Calculate the remainder when b(4) is divided by 44.
40
Suppose 5*o - 3*l + 4*l - 412 = 0, 3*o - 256 = -5*l. Let d(z) = 81*z - 53. What is the remainder when o is divided by d(1)?
26
Suppose -4*g = 2*m - 19 - 7, 4*m + 4*g = 64. Let w(a) = -3*a**3 - a**2 - 12*a - 16. What is the remainder when w(-3) is divided by m?
16
Suppose -4*m = m - 5. Suppose t - 5*t - m = -g, -4*t = 2*g - 14. Suppose -y = v + 1 - 12, -3*y + 5*v = -49. Calculate the remainder when y is divided by g.
3
Let b = 18 - 9. Let i = 15 - b. Suppose -r + 2*k = -44, i*k = 2*k + 20. What is the remainder when r is divided by 19?
16
Suppose 0 = 3*r - 6 - 3. Let u = r - -19. Let n = 14 - 6. Calculate the remainder when u is divided by n.
6
Suppose -q = 4*q - 65. Let y be (2 + -7)*(-5 + 4/1). Suppose 2*a + 10 = b - 16, y*b - 123 = 3*a. What is the remainder when b is divided by q?
11
Suppose 2*n - 53 = -q, -5*q - 12 = -5*n - 337. What is the remainder when q is divided by 24?
13
Calculate the remainder when 200 is divided by 9/(-6)*(-164)/6.
36
Let i = -69 + 176. Let a = i + -69. What is the remainder when 72 is divided by a?
34
What is the remainder when 228 is divided by 1*-63*(44 - 45) + 0?
39
Let p = 161 + -157. Suppose q = 5*t - 0*q - 64, -5*t = -p*q - 76. Calculate the remainder when 17 is divided by t.
5
Suppose 5*x - 265 = -5*j, 8*j + 4*x - 112 = 6*j. Calculate the remainder when 292 is divided by j.
42
Suppose -25 = 5*m - 100. Suppose -136 - 32 = -3*n. What is the remainder when n is divided by m?
11
Suppose -67 = -4*x - 5*p + 111, 2*x + p - 92 = 0. Calculate the remainder when x is divided by 11.
3
Let n(l) = 7*l**2 - 7*l + 2. Let y be n(5). Let z = 77 - 53. What is the remainder when y*(1/(-2))/(-1) is divided by z?
23
Suppose -2*a + 3 = -7. Suppose -y = -10 + a. Suppose y*f = 4*u + 85, 2*f + u - 3*u - 36 = 0. What is the remainder when f is divided by 7?
6
Suppose o - 5*k - 139 = -8*k, 2*k = -2*o + 278. What is the remainder when o is divided by 51?
37
Let l = 1471 + -681. Calculate the remainder when l is divided by 61.
58
Suppose 65 = 14*w + 9. Calculate the remainder when 12 is divided by w.
0
Let p(c) = 3*c - 2. Suppose -8*v + 7*v - 6 = 0. Calculate the remainder when -19*v/(-4)*8/(-12) is divided by p(4).
9
Suppose -4*a = 3*a - 140. Suppose -4*v + 75 = v. Suppose -v*o - 125 = -a*o. Calculate the remainder when o is divided by 14.
11
Let x = -4 + 37. Calculate the remainder when 321 is divided by x.
24
Let d = -135 - -245. Let x be -4 - 30/(-4)*(-2)/(-3). What is the remainder when 39 is divided by (1/x)/(11/d)?
9
Let q be (-2)/(1 + -2)*23. Let h = 12 - 10. Suppose -4 = h*s - q. What is the remainder when s is divided by 12?
9
Let u = -43 - -41. Calculate the remainder when u + ((-48)/(-36))/(1/12) is divided by 3.
2
Let g = -482 + 497. Let c = 9 + 0. Calculate the remainder when g is divided by c.
6
Suppose 4*t - 4*d - 52 = 0, 5*d - d - 56 = -5*t. Calculate the remainder when ((-129)/6)/(15/(-90)) is divided by t.
9
Let o(u) = 18*u + 42. What is the remainder when o(3) is divided by 23?
4
Suppose 245 = -68*h + 73*h. Calculate the remainder when h is divided by 27.
22
Let i(c) = -c**3 + 4*c**2 + 11*c + 9. Let z be i(6). Suppose 0 = z*k - 0*k - 123. What is the remainder when 119 is divided by k?
37
Let r(m) = 2*m**3 + 45*m**2 + 10*m + 48. What is the remainder when r(-22) is divided by 20?
12
Let y(n) = 15*n - 249. What is the remainder when y(22) is divided by 39?
3
Suppose 0*z - 4*z + 84 = 4*k, 3*k + 4*z = 62. Calculate the remainder when k is divided by 11.
0
Let x(i) = 6*i**2 - 37*i + 27. Calculate the remainder when 164 is divided by x(6).
17
Suppose 5*n - 5*p = 140, -n + 0*p - 4*p = -13. Calculate the remainder when 33 is divided by (0/2 - -3) + n + -15.
