the remainder when 41/((-615)/(-3132)) - 16/20 is divided by 71?
66
Let s(n) = n**3 + 26*n**2 - 29*n - 10. Let q be s(-27). What is the remainder when 63 is divided by -2 - (6/(-33) - 828/q)?
12
Let w(q) = 0*q + 14 + 34*q + 5 + q**2 - 11*q - 7*q. Calculate the remainder when w(-24) is divided by 36.
31
Suppose -4*b = 12, -6*l + 7*l - 5*b = 53. Suppose 31*w + 490 = l*w. What is the remainder when 276 is divided by w?
66
Let l(j) = 4*j**2 + 5*j - 7. Suppose 6*m + 245 - 251 = 0. What is the remainder when l(6) is divided by (4 - m)/((-57)/(-323))?
14
Suppose -3040 + 777 = -21*r + 1958. Calculate the remainder when r is divided by 3.
0
Let u(y) be the third derivative of y**4/24 + 2*y**3/3 - 14*y**2. Let o(v) = 15*v**3 - 5*v**2 + 8*v - 2. Calculate the remainder when o(1) is divided by u(5).
7
Suppose 0 = 16*o - 15*o - 45. Calculate the remainder when o is divided by 3.
0
Let o = 30 + -28. Calculate the remainder when 75 is divided by 5 - (1 + o) - -9.
9
Suppose 12*m + 34070 = -17*m + 39*m. What is the remainder when m is divided by 92?
3
What is the remainder when ((-338)/1)/(30/(-900)*20) is divided by 506?
1
Suppose -5*f + 16 + 19 = 2*u, 6*f + 2*u = 42. Let h(v) = 2*v**3 + 2*v**2 - 3*v - 2. Let y be h(-2). What is the remainder when (-2)/12*y*48 is divided by f?
4
Let x(j) = j**2 - 29*j - 16. Let l be x(28). Suppose 4*u + g - 179 = 0, -3*u - 4*g + 0*g = -131. Let y = u + l. What is the remainder when 2 is divided by y?
0
Let w = -433 + 403. Let u(t) = t**3 + 31*t**2 + 26*t - 104. Calculate the remainder when (-2)/(-9) - 511/(-9) is divided by u(w).
9
Suppose 4520 = 38*x - 18128. What is the remainder when x is divided by 14?
8
Let v = -10265 - -10336. What is the remainder when 458 is divided by v?
32
What is the remainder when 8513 is divided by ((-51)/(-24))/(-1 + 0 - 36/(-32))?
13
Let m(h) = h**3 - 6*h**2 + 7*h - 5. Let z = 501 + -498. Suppose 0 = -3*i + z*u + 9, 9*u + 8 = 5*i + 11*u. What is the remainder when m(5) is divided by i?
1
Let g(y) = 31*y + 2 - 6 + 6 + 2. Suppose -27*b + 223 + 236 = 0. Calculate the remainder when g(3) is divided by b.
12
Suppose -2*k - 11 = 3*w + 4, -3*w = 4*k + 15. Suppose 64*n - 81*n + 1530 = k. What is the remainder when n is divided by 8?
2
Let w(k) be the first derivative of -264*k**2 + 13*k - 67. What is the remainder when w(-1) is divided by 34?
31
Suppose -3740 = 3*q - 8*q. Let y = 117 + -42. Calculate the remainder when q is divided by y.
73
Let g = 10702 + -10693. Let i be 2 + (-13 - 3) + 2. What is the remainder when g is divided by 1/(1 - i/(-15))?
4
Let z = 18250 + -17505. What is the remainder when z is divided by 44?
41
What is the remainder when (841 - 5) + 11 - -4 is divided by 19?
15
Let d = -2792 + 3035. What is the remainder when d is divided by 94?
55
Let p(i) be the second derivative of -i**4/12 - i**3/2 + 2*i**2 - 7*i. Let q be p(-3). What is the remainder when 106 is divided by 355/20 - (-1)/q?
16
Suppose 4*l - 2*m + 26 = 3*l, 4*l = m - 139. Suppose i + 244 = 3*i. Calculate the remainder when i is divided by 36 + (-3)/(-21) + l/7.
29
Suppose 31*d - 1171 = 7. Let w(j) = -j**3 + 6*j**2 - j + 3. Let n be w(5). Suppose 3 = 2*q - n. Calculate the remainder when d is divided by q.
12
Suppose 191*s = 189*s + 106. Let v = s - 12. What is the remainder when v is divided by 5?
1
Let u = -47 + 63. Suppose -24 = -5*k - 3*q + 2*q, 0 = -k - 3*q + u. Suppose 0 = k*d - 24 - 8. Calculate the remainder when 15 is divided by d.
7
Suppose 3*k - 4940 = 4*i, 2*k - 4*i - 3275 = -5*i. Suppose 6*u = -404 + k. Calculate the remainder when u is divided by 69.
68
Let o(t) = -60*t + 1. Let j be o(-2). Suppose 0 = 8*d - j + 25. What is the remainder when 105 is divided by d?
9
Suppose 5*k + 204*b = 206*b + 42, -4*k - b = -31. Suppose 7 + 26 = -3*x. Let n(m) = -m**2 - 11*m + 2. Calculate the remainder when k is divided by n(x).
0
Suppose 0 = -20*m + 19*m + 13. Suppose 44*y + m = 45*y. Let q = -7 + 12. What is the remainder when y is divided by q?
3
Let t = 110 - -384. What is the remainder when t is divided by ((-17)/(-2))/(-17)*-110?
54
Let m(h) = -h**3 + 21*h**2 - 35*h - 42. Let y be m(19). Suppose -k + 3*g = -3 - y, -10 = 5*g. Calculate the remainder when 191 is divided by k.
11
Let j(s) = -5*s**2 - 42*s - 37. Calculate the remainder when 1713 is divided by j(-6).
33
Let s(z) = -67*z - 27. Let i be s(4). Let x = -271 - i. Calculate the remainder when x is divided by 5.
4
Suppose 5*y - 5*c = 94 + 291, 5*c + 311 = 4*y. Let i = 328 - 290. Calculate the remainder when y is divided by i.
36
Suppose -2*c - 5*d + 1832 = 0, -105*c + 110*c - 4580 = 2*d. What is the remainder when c is divided by 182?
6
What is the remainder when (-73)/(3 + ((-5)/(-165))/((-3)/300)) is divided by 16?
9
Suppose 83*c - 979 - 748 - 265 = 0. Calculate the remainder when 1361 is divided by c.
17
Suppose -178 = -2*b - 0*b - j, -5*b = 3*j - 447. What is the remainder when b is divided by 44?
43
Suppose -2226 - 1824 = -30*j. Calculate the remainder when j is divided by 33.
3
Let i = 34932 - 34791. Suppose -n - 97 = -4*w, 25 = w - 0*w - n. What is the remainder when i is divided by w?
21
Suppose -2*w = 5*b - 105, 5*b - 83 = -5*w + 172. Let c = 70 + -40. Calculate the remainder when w is divided by c.
20
Let a(r) = -r**2 - 7*r + 149. Let z = 16 - 11. What is the remainder when a(8) is divided by z?
4
Let j(a) = 3*a - 100. Suppose -8*y + 61 + 171 = 0. Let b be j(y). Let i(w) = -5*w - 26. What is the remainder when 194 is divided by i(b)?
38
Let p(v) = -160*v + 1127. What is the remainder when 1796 is divided by p(7)?
4
Suppose -537 + 397 = -28*y. Calculate the remainder when 349 is divided by y.
4
Suppose -2*l = 3*b - 7549, -5*l + 78*b - 73*b + 18910 = 0. Calculate the remainder when l is divided by 63.
62
Let w(f) = f**3 + 10*f**2 - 4*f + 282. What is the remainder when 1296 is divided by w(-12)?
36
Let r(s) = -3*s**3 + 2*s**2 + s. Let k be r(-1). Suppose 3*z + 107 - 15 = k*v, -16 = -v - z. Let a = -11 + v. What is the remainder when 29 is divided by a?
2
Suppose 196 = 4*c - 11*c. Let x be ((-1)/(-2))/(2/188). Let n = c + x. What is the remainder when 75 is divided by n?
18
Suppose 2948 = 4*o - 4*t, -t = -5*t + 12. Calculate the remainder when o is divided by 33.
14
Let m(g) be the second derivative of -3*g**3/2 + 84*g**2 + 4*g + 18. Calculate the remainder when m(-8) is divided by 61.
57
Suppose -2*p + 48 = -0*p. Let d = 1865 - 1755. What is the remainder when d is divided by p?
14
Let j be (-2)/3 - (-8)/((-48)/290). Let k = 53 + j. Suppose -4*w = -5*y - 419 + 57, -y - 370 = -k*w. Calculate the remainder when w is divided by 24.
21
Let h(r) = -r**2 + 7*r + 5. Suppose -1304 = -63*s + 775. Calculate the remainder when s is divided by h(4).
16
What is the remainder when 335 is divided by (21505/22)/17 - 4/8?
50
Suppose 0 = -5*d + 766 + 209. Suppose 4*x + d = 5*c, -c + 3*x = 2*x - 38. Let q = 131 + -46. Calculate the remainder when q is divided by c.
42
Suppose 0 = x + 4*n, -2*x - 2*n - 19 = -43. What is the remainder when 188 is divided by x?
12
Suppose -109 = 3*h + 4*p, 5*h - 4*p + 357 = 122. Let w = 66 + h. Let s = 405 - 397. Calculate the remainder when w is divided by s.
7
Let c(x) = -2*x**2 - 29*x - 25. Calculate the remainder when 5320 is divided by c(-3).
40
Let m be 68/(-272)*(-492 - 0). Suppose 130*f - m*f = 812. What is the remainder when f is divided by 13?
12
Calculate the remainder when 382 is divided by 291/(5 - (-5 + 170/20)).
188
Let n = 64 + -22. Suppose 2*o + 4 = 0, 0 = 4*q + 14*o - 12*o + 4. Suppose -4*m - 5*t + 50 = q, 6*t + 13 = m + 7*t. What is the remainder when n is divided by m?
12
Suppose -296 = -2*a + 7*w - 5*w, w = -5*a + 728. Let b = a + -124. Let d = 13 + 30. Calculate the remainder when d is divided by b.
21
Let z = -19132 - -19143. Suppose 3*t + 2*n + 2*n = -9, -4*t - 12 = -2*n. Let a = t + 43. What is the remainder when a is divided by z?
7
Let n = -126 - -154. Suppose 0 = -13*l + 20*l + n. Calculate the remainder when 137 is divided by 32 - -2*(1 - l/8).
32
Let l = 11277 + -11167. Let v = 0 + 7. What is the remainder when l is divided by v?
5
Let a = -1 - -27. Suppose -198*y + 609 = -10*y - 707. Calculate the remainder when a is divided by y.
5
Calculate the remainder when (-2 + 3)*((-2768)/(-12))/((-20)/(-30)) is d