he remainder when (-11 + -4)*(560/6)/(-8) is divided by 44.
43
Suppose x + y - 785 + 107 = 0, 2050 = 3*x - 5*y. What is the remainder when x is divided by 36?
32
Suppose -o + 9 = 3*a, -a + 0*a = o - 3. Suppose 3*x - 105 = q - a*q, -x + 5*q = -35. What is the remainder when x is divided by 9?
8
Let v = -174 - -205. Suppose 4*j - 100 = 5*w, -j + 2*w = j - 48. What is the remainder when v is divided by j?
11
Let k be 0 + 2 + (8 - 1). Suppose 0 = 6*v - k*v. Suppose 0*c = c + 2*i - 9, v = -2*c + 2*i + 24. Calculate the remainder when 41 is divided by c.
8
Suppose 4*g = g + 78. Let q = g + -32. Let v = q - -8. What is the remainder when 2 is divided by v?
0
Let y = -86 - -90. Suppose -y*f = 2*f - 138. Calculate the remainder when f is divided by 12.
11
Suppose 5*y - 3*m = 192, -5*m = y - m - 43. Suppose 158 = f + 2*q, -f + 205 - 41 = 4*q. Calculate the remainder when f is divided by y.
35
Let w = -81 - -120. Calculate the remainder when w is divided by 6.
3
Suppose -5*t + 52 = 5*u + 12, u = 0. Suppose 0 = -n + 3*n - 54. What is the remainder when n is divided by t?
3
Let s(q) = 4*q**2 - 3*q + 3. Let w(u) = u + 6. Let a be w(-9). Calculate the remainder when s(-3) is divided by (6/(-4))/(a/34).
14
What is the remainder when (-19 + 10)*2/(-2 + (-15)/(-9)) is divided by (-36)/(-3) + (0 - -2)?
12
What is the remainder when (-10 + 248/20)/((-3)/(-20)) is divided by 6?
4
Suppose 2*c - 3*c + 80 = l, 4*l = -5*c + 319. Suppose 5*s = 0, -s = 5*w - 9 - 101. Calculate the remainder when l is divided by w.
15
Suppose 2*s = 2*m, -2*s + 7 = -59*m + 64*m. Suppose 3*u + 3*f + 12 = 0, -2*u + 2 = -5*u - f. What is the remainder when s is divided by u?
0
Let g = 35 - 35. Calculate the remainder when 86 is divided by (1 - g)/((-6)/(-132)).
20
Let h = 3215 - 3208. Let w(p) = p**2 - 3*p - 9 + 0*p - 1. What is the remainder when w(7) is divided by h?
4
Let h = 5 - -5. Let j(c) = 2*c**2 - 3*c + 3. Let a be j(2). Let u = -1 + a. Calculate the remainder when h is divided by u.
2
Suppose 4*b - 65 + 5 = 0. Let u = -406 - -463. Calculate the remainder when u is divided by b.
12
Let d = 14 + -8. Suppose 1269 + 261 = d*j. Calculate the remainder when j is divided by 43.
40
Let d = -13 - -26. Let n = d + -21. Let q(u) = -u**3 - 8*u**2 - 2*u - 5. What is the remainder when 20 is divided by q(n)?
9
Suppose 32*c - 1990 = 186. Calculate the remainder when c is divided by 10.
8
Suppose -4 = -4*p - 13*n + 14*n, -5*n = p + 20. Suppose p = -2*c + 27 + 161. Calculate the remainder when c is divided by 24.
22
Suppose -69 = -5*b + 16. Let j = b + 0. What is the remainder when 84 is divided by j?
16
What is the remainder when 96 is divided by (-1)/((-2)/8)*77/44?
5
Let c(r) be the third derivative of 0*r + 1/60*r**5 + 0 + 1/2*r**3 - 3/8*r**4 + r**2. What is the remainder when c(13) is divided by 14?
13
Suppose 4*f - 6 = 14. Let d(i) = 3*i**2 - 11*i - 1. What is the remainder when 56 is divided by d(f)?
18
Let f(t) = -t**3 + 15*t**2 - 2*t + 33. Let a be f(15). Suppose -136 = -a*r - r. Suppose -4*n - 132 = -6*n. Calculate the remainder when n is divided by r.
32
Suppose 8*w + 11 = 147. What is the remainder when 116 is divided by w?
14
Suppose -24 + 0 = z. Let n = z + 27. What is the remainder when 51 + (n - (-12)/(-4)) is divided by 26?
25
Let j = -5 + 10. Suppose j*s - s - 8 = 0. Suppose 12 = h - s. What is the remainder when 53 is divided by h?
11
Let y(i) = -3*i + 176. Calculate the remainder when y(41) is divided by 18.
17
Suppose 3*q = 7*q - 40. Let b be (-4)/(-14) - 3258/(-63). Let p = q + b. Calculate the remainder when p is divided by 21.
20
Suppose -3*a + 378 + 477 = 0. Calculate the remainder when a is divided by 50.
35
Let w(j) = 4*j**2 + 2*j + 57. Calculate the remainder when w(8) is divided by 15.
14
Let o(h) = -4*h + 5. Let z be o(-7). Let m be (22/z)/(4/(-18)). What is the remainder when 25 is divided by 6*(-2 - m) + 1?
4
Let g(u) = 16*u + 10 + 38 - 13 - 3*u. What is the remainder when g(4) is divided by 15?
12
Calculate the remainder when 15 is divided by 2/6 - 68/(-12).
3
Let f(r) = -r**2 - 19*r + 2. Calculate the remainder when 355 is divided by f(-8).
85
Let j be (-6)/30 - 38/10. Let u be (-25 - -1)/j + -3. Suppose -181 + 31 = -u*h. Calculate the remainder when h is divided by 13.
11
Let c be (-3)/(-6)*(-17 - 1). Let o = 1 - c. What is the remainder when (o/15)/(2/129) is divided by 22?
21
Let r = -9 + 11. Suppose -4*b + r*p + 31 = p, -3*b - p = -18. What is the remainder when 14 is divided by b?
0
Let o(x) = 1. Let p(y) = -y - 6. Let g(h) = -4*o(h) - p(h). Calculate the remainder when 22 is divided by g(10).
10
Let x(n) = n**3 + 9*n**2 + 5*n + 2. Suppose -3*k - 5*z = -10*z - 29, 5*z + 20 = 0. Let t = -11 + k. What is the remainder when x(t) is divided by 9?
8
Suppose 7 + 29 = 6*k. Calculate the remainder when 20 is divided by k.
2
Suppose -3*r - 84 = -4*h, -4*h - 2*r + 80 = -4*r. Let u = 57 + 11. What is the remainder when u is divided by h?
14
Let t be 17/((-833)/(-3710)) + 2/7. Let z = 85 - t. Calculate the remainder when 71 is divided by z.
8
Let d = 309 - 295. What is the remainder when 164 is divided by d?
10
Let z = -44 + 49. Suppose 0 = -r + 4*w + 4, z*r - 3*w - 20 = 2*w. What is the remainder when 8 is divided by r?
0
Let s = -33 - 17. Let o = s + 68. Calculate the remainder when 34 is divided by o.
16
Let y = 6 - 1. Suppose y*c - 66 = 3*c. Suppose -2*i + 11 + c = 0. What is the remainder when i is divided by 13?
9
Let a be 21*(6/(-9))/(-2). Let d = a - 4. Suppose -9 = -d*p + 2*p. Calculate the remainder when 15 is divided by p.
6
Let s = -253 - -300. What is the remainder when s is divided by 41?
6
Suppose -13*z = -24*z + 341. What is the remainder when 151 is divided by z?
27
Let s(y) = -y**2 + 9*y + 10. Let g be s(7). Let p = g + 66. What is the remainder when p is divided by 23?
21
Suppose 4*t = 1728 - 1416. What is the remainder when t is divided by 6?
0
Let t be 1/5 - (-3 + (-230)/(-25)). Let s = 17 + t. What is the remainder when s is divided by 7?
4
Suppose -5*c = -4*x - 97, 3*x = -2*x - 15. Suppose 5*h - 139 = 6. Calculate the remainder when h is divided by c.
12
Let m = 113 + -182. Let c = 4 - m. What is the remainder when c is divided by 15?
13
Let x = 186 - 260. Let n = 128 - x. Calculate the remainder when n is divided by 51.
49
Let j(g) be the second derivative of g**4/12 - 11*g**3/6 + 33*g**2/2 - 23*g. What is the remainder when 34 is divided by j(8)?
7
Calculate the remainder when ((-441)/(-7))/(-7) - -899 is divided by 99.
98
Let i(z) = z**2 - 15*z - 7. Let s(r) = 13*r - 10. Let h be s(2). Calculate the remainder when 17 is divided by i(h).
8
Let t(q) = 6*q**2 + q + 6. What is the remainder when t(3) is divided by 27?
9
Let x(o) = o**3 - 7*o**2 + 10. Let h = -50 - -57. What is the remainder when 28 is divided by x(h)?
8
What is the remainder when 16*3*((-16)/2 - -10) is divided by 21?
12
What is the remainder when 1/4 - 2008/(-32) is divided by (-79)/(-4) - (33/(-4) + 9)?
6
Suppose -29*i = -24*i - 20. Let g = 52 + -29. What is the remainder when g is divided by i?
3
Suppose 29*w = 964 - 152. Calculate the remainder when 59 is divided by w.
3
Let w(j) = 2*j**3 + j**2 + 3*j + 3. Let u be w(-2). Let r be ((-6)/u)/((-1)/5). Calculate the remainder when (-2)/r*(34 + -4) is divided by 11.
8
Suppose 6*o - 2*o = 44. What is the remainder when 348 is divided by o?
7
Let i = -11 - -31. Suppose -5*m - 2*y = y - 108, 0 = m - y - 20. Let l(g) = -g**3 + 22*g**2 - 19*g + 16. What is the remainder when l(m) is divided by i?
18
Let o = -77 + 88. Suppose -28 = -3*g + o. Let t = 36 + 65. What is the remainder when t is divided by g?
10
Suppose 5*b + s = 24, 2*s + 8 = b - s. Calculate the remainder when 49 is divided by b.
4
Let p(s) = -s**2 - 12*s - 16. Let f = -63 - -56. Calculate the remainder when 23 is divided by p(f).
4
Let c be -6*1/((-6)/4). Suppose 0*f - c = -f. Calculate the remainder when 56/(-4)*(-1 - 0) is divided by f.
2
Let z be 0 - (-1 + 2) - 3 - -29. Suppose 5*m = -5*c + 65, 2*m = m + 2*c + z. Calculate the remainder when 64 is divided by m.
13
Suppose -1560 = -32*q - 8*q. Suppose -h + 154 = -0*h. Calculate the remainder when h is divided by q.
37
Let u = -9 + 12. Suppose 5*t + 2*x + 9 = u*x, 0 = 4*t - x + 8. Calculate the remainder when 30/(-4 - -