ppose 3*i - 9*q = -8*q + 8, 3*q = -3*i + 12. What is the remainder when (-39)/(-9)*(-18)/(-3) is divided by i?
2
Let q(c) = -c + 22. Let w be q(14). Let t = 1 + w. Suppose -59 = -2*n - 11. What is the remainder when n is divided by t?
6
Let u be (-1 - -1 - -3) + 30/(-10). Let r(k) = k**3 - k**2 + 5 + 0*k**2 + 0. Calculate the remainder when 7 is divided by r(u).
2
Let q be -3*-3*(-1)/9. Suppose 0 = n, 3*d - 3*n = -2*d + 255. Calculate the remainder when d is divided by (q/(-2))/((-3)/(-78)).
12
Let w be (144/12 - 16)/(2/(-6)). Suppose -10*h = w*h - 88. Suppose 2*c = -3*k + 8, -2*c = 4*k + 2*c - 4. What is the remainder when k is divided by h?
2
Suppose 6*u = -8 + 32. What is the remainder when (-4)/(-10)*(2 + 93) is divided by ((-1)/u)/(26/(-2184))?
17
Let u = -118 + 253. What is the remainder when u is divided by 79?
56
Suppose 3*k + k = -4. Let g be -3 - 6/(-2) - k. What is the remainder when g - (2 - (3 + 1)) is divided by 3?
0
Suppose -5*q + 4*r + 130 = 0, -2*q + 46 = -3*r + 1. Calculate the remainder when 48 is divided by q.
18
Suppose -4*z - 5*g = -0*z - 2229, -2220 = -4*z + 4*g. What is the remainder when z is divided by 31?
29
Let j = 1048 - 731. What is the remainder when j is divided by 6?
5
Let r = -31 - -160. Let a = r - 90. What is the remainder when a is divided by 6?
3
Let j(l) = -4*l - 26. Let z be j(-7). Suppose -144 = -4*v + 4*h - 8*h, 0 = z*v - 2*h - 80. What is the remainder when v is divided by 14?
10
Let s(k) = -2*k**2 - 55*k - 15. What is the remainder when 563 is divided by s(-27)?
11
Suppose -25 = -10*l + 5*l + f, -5*f + 43 = 3*l. Calculate the remainder when 56 is divided by l.
2
Suppose -527 = 2*l - 619. What is the remainder when l is divided by 31?
15
Let p(m) be the third derivative of -m**4/24 + m**3 - 4*m**2. Let w be p(2). Suppose 0 = w*x - 61 + 1. Calculate the remainder when 72 is divided by x.
12
Suppose -6 = -4*k + 6. Suppose -4*c + 44 - 12 = 2*d, 0 = c - 5*d + 3. Calculate the remainder when (1*-1)/(496/72 - c) is divided by k.
0
Let c = -394 + 186. Let n = -124 - c. What is the remainder when n is divided by 22?
18
Calculate the remainder when 560 is divided by (118/(-177))/(2/(-153)).
50
What is the remainder when 11/(44/24) - -5 is divided by 4/10 - 99/(-15)?
4
Suppose 82 = -5*m + 432. Let j = m - 55. What is the remainder when 89 is divided by j?
14
Suppose 0 = 2*x - 4*y - 112, 4*x + y + 2*y - 268 = 0. Let m be (18/8)/(24/x). Let h = -1 + m. Calculate the remainder when 8 is divided by h.
3
Suppose -9*u + 13*u + 5*q - 314 = 0, 237 = 3*u + 3*q. Suppose u = 7*t + 2*t. What is the remainder when 31 is divided by t?
4
Suppose 7*s - 2*s - 63 = -2*f, -5*s = -25. What is the remainder when 38 is divided by f - (3 - (-1 - -8))?
15
Suppose -r = k + r - 15, 0 = -k + r + 12. What is the remainder when 373 is divided by k?
9
Let p = -3 + 4. Suppose -18*y = 34*y - 832. What is the remainder when (p*31)/(0 + 1) is divided by y?
15
Suppose -47*z = -49*z + 48. Let w(i) = i**2 + 4*i - 3. Let r be w(-5). Suppose r*x = z - 8. Calculate the remainder when 13 is divided by x.
5
Suppose -36 = -3*p - v, 4*p - 37 = -v - 4*v. Calculate the remainder when 1 + 38 + (-2 - 0) is divided by (p/(-3))/(6/(-18)).
11
Let d(o) be the second derivative of o**3/6 + 7*o**2 - 9*o. Calculate the remainder when 37 is divided by d(5).
18
Suppose 2968 = 420*y - 413*y. Calculate the remainder when y is divided by 39.
34
Suppose -52*f + 924 = -272. What is the remainder when 226 is divided by f?
19
Let u(s) = 12*s**3 - 1. Suppose -4*n + 18 = 4*g - 6, -2*g + 3 = -n. What is the remainder when u(1) is divided by g?
2
Let q = -71 - -106. Let p = 8 + q. Let o = 66 - p. Calculate the remainder when o is divided by 6.
5
Let x = -321 - -367. What is the remainder when 137 is divided by x?
45
Suppose -4*j + 6 = -10. Let x be 474/9 - j/6. Suppose -x = -5*v + 2*f, 4*v + 0*v + 3*f = 60. Calculate the remainder when v is divided by 7.
5
Let h(s) = -s**3 - 47*s**2 + 160*s - 17. Let a = -5 - -9. Let m = 11 - a. What is the remainder when h(3) is divided by m?
6
Suppose 13*c = 59 + 19. What is the remainder when 57 is divided by (-3)/(-2)*c/(-18)*-62?
26
Let m(h) = h**3 - 6*h**2 + 8*h - 1. Let i be m(4). Let g(q) = -6*q**3 + 2*q**2 + q - 1. What is the remainder when 16 is divided by g(i)?
4
Let w(y) = 2*y**2 + 14*y + 31. Calculate the remainder when 297 is divided by w(-4).
3
Suppose 166*x - 14904 = 97*x. Calculate the remainder when x is divided by 59.
39
Suppose -16 = -4*s - 2*u + 46, 3*u = 3*s - 60. What is the remainder when 29 is divided by s?
12
Suppose -5*g - 5 = -40. Let p(l) = 2*l**2 + l - 6. Calculate the remainder when p(3) is divided by g.
1
Let x(o) = 6*o - 41. What is the remainder when x(13) is divided by 3/(-2)*(-10 + -4)?
16
Suppose -3*f + 3*o = 15, -10 = -0*f + 3*f - 2*o. Let b = f + -6. Let k = 15 + b. What is the remainder when k is divided by 5?
4
Suppose -8*f - 20 = -13*f. Suppose -f*t = -2*q - 4, 4*q = 3 + 5. Suppose 5*o - 36 = -4*x, t*o - 30 = -3*x - o. Calculate the remainder when 53 is divided by x.
11
Let q(j) = j**3 - 11*j**2 + 19*j - 1. Let p be q(9). Suppose l = -3*o + 34, 3*l - p*o + 3*o = 172. Calculate the remainder when l is divided by 17.
15
Let x(u) = u**2 + 6*u - 10. Let o = -12 - -14. Suppose 252 = 7*z + o*z. What is the remainder when z is divided by x(-8)?
4
Suppose -328*t = -337*t + 711. Calculate the remainder when t is divided by 2.
1
Let a = 51 + -50. Suppose 0*l - 2*l = -42. Calculate the remainder when a/2 + (-468)/(-8) is divided by l.
17
Let i(c) = -3*c + 1 - 14 - 2*c. Suppose -2*d = 2*p - 12, 2*d - 3*p - 2 = -0. What is the remainder when i(-6) is divided by d?
1
Let n(o) = 10*o - 33. Let w = 11 + 24. What is the remainder when n(10) is divided by w?
32
Suppose -25*c + 124 = -1. Calculate the remainder when 27 is divided by c.
2
Suppose 10 + 12 = 2*a. Calculate the remainder when ((-123)/(-6))/(1/2) is divided by a.
8
Let x be (3 - -7)/(2/16). Suppose -3*q - 5*q = -x. Let l(k) = 6*k**2 + k - 1. What is the remainder when q is divided by l(1)?
4
Let t be 2 - 22/10 - 44/(-20). Suppose 0 = 3*y - 5*y. Suppose -t = -y*l - l. What is the remainder when 7 is divided by l?
1
Let n = -20 + 33. Let i = n - 8. Suppose q + 9 = -5*f + 23, 4*f - 7 = -i*q. Calculate the remainder when 11 is divided by f.
2
Let p = 1901 + -1877. What is the remainder when 208 is divided by p?
16
Suppose -72*x = 52*x - 10664. Calculate the remainder when 241 is divided by x.
69
Suppose -5*r = 4*c - 71, -2*r + 2*c + 3*c + 35 = 0. Let k = 333 + -290. What is the remainder when k is divided by r?
13
Let o(k) = 45*k - 125. Calculate the remainder when o(4) is divided by 16.
7
What is the remainder when 306 is divided by 868/8*(-4)/(-7)?
58
Let i(p) = 43*p**2 + 4*p + 1. Suppose -10 = 5*s - 10*s. Calculate the remainder when i(s) is divided by 23.
20
Let y(w) = w**3 - 8*w**2 - 19*w - 13. Let g be y(10). Let o(n) = 3*n**2 + 4*n - 7. Calculate the remainder when 53 is divided by o(g).
5
Let o(c) = -10*c - 3. Suppose -4*m + 12 = -2*m. Suppose -m*a - 28 = -10*a. Calculate the remainder when o(-3) is divided by a.
6
Let i(g) = -4*g - 1. Let v be i(0). Let y = -3 - -2. Calculate the remainder when y/v + 68/4 is divided by 5.
3
Let s be (5/5)/(1/(-3)). Let j(a) = -5*a + 11 + 6 + 0 - 10. Calculate the remainder when 65 is divided by j(s).
21
Suppose 4*u + 3*z = -2*z + 457, 0 = -2*u + 5*z + 191. Suppose -g + 4*q = -3*g + u, -3*g - q + 172 = 0. Calculate the remainder when 286 is divided by g.
54
Let y(l) = 5*l**2 - 11*l - 47. What is the remainder when y(-5) is divided by 9?
7
Suppose 1792 = 214*q - 207*q. What is the remainder when q is divided by 253?
3
Let w = 258 - 169. Calculate the remainder when w is divided by 10.
9
Let r(s) = 13*s**2 + 18*s + 58. Calculate the remainder when r(-4) is divided by 102.
92
Suppose -64*h = -65*h + 190. Calculate the remainder when h is divided by 48.
46
Let r(l) = -2*l + 24. Let t be r(7). Suppose 7*s - t = 18. What is the remainder when 23 is divided by s?
3
Let h = 984 + -885. Calculate the remainder when 296 is divided by h.
98
Let u be (2 + 1 + -3)/1. Suppose u = -0*c - 2*c + 120. Suppose -c = -p - 4*p. Calculate the remainder when 34 is divided by p.
10
Suppose 0*l + l + 501 = 3*w, 4*l - 501 = -3*w. Suppose 4 = 9