 + 39*w = 1326. Calculate the remainder when 581 is divided by n.
59
Suppose 8 = -3*a + 5*k + 42, -a + 30 = 3*k. Let u(w) = w - 16. What is the remainder when 35/(-14)*(-4)/5 is divided by u(a)?
0
Let d be 476/36 + (-4)/18. Let o(h) = h**3 - 13*h**2 - 4*h - 10. Let t be o(d). Let m = t - -88. What is the remainder when m is divided by 15?
11
Suppose 314 - 581 - 1109 = -43*x. What is the remainder when 54 is divided by x?
22
Let c(f) = f**3 - 2*f**2 + 100*f - 381. What is the remainder when c(4) is divided by 27?
24
Suppose -5*f + a = -0*f - 480, 4*a = -2*f + 170. Calculate the remainder when 262 is divided by f.
72
Let c(b) = -4*b**2 + 24*b + 13. Let y be c(7). Let u = y + 27. Let k(w) = w**3 + 10*w**2 + 10*w - 4. What is the remainder when k(-8) is divided by u?
8
Let d = -5788 + 5947. Calculate the remainder when 1119 is divided by d.
6
Suppose -592 = 4*h - 0*h. Let g = 174 + h. Let m(y) = -11*y + 8. Calculate the remainder when m(-6) is divided by g.
22
Let s = -7800 - -7856. Calculate the remainder when 725 is divided by s.
53
Let q = 7357 - 6572. What is the remainder when q is divided by 29?
2
Let l = 10 + 0. What is the remainder when (-1968)/(-20) - -6*(-1)/(-10) is divided by l?
9
Suppose 14*h + 104 = 22*h. Calculate the remainder when 1637 is divided by h.
12
Let q be 1473880/150 - (-6)/45. Calculate the remainder when 127 is divided by 8/(-36) - q/(-153).
63
Let z be 3 - 1 - 4/(-6)*3. Suppose z*y + 10 - 26 = 0. Suppose y*v = h + 3*h + 16, 3*h = -v + 24. What is the remainder when 14 is divided by v?
5
Let g(t) = 185*t + 5. Let y be g(-5). Let o be y/(-140) - 6/(-14). What is the remainder when 1/o*554 - (-1)/(-7) is divided by 40?
39
Suppose -151 = 4*k - 4*u - 475, 0 = -2*k - u + 165. Calculate the remainder when 1393 is divided by k.
81
Let h(u) = 29*u - 22. Suppose 5*w = -w - 12. What is the remainder when h(6) is divided by w + 0 + -41*(0 - 1)?
35
Let c(t) = -t**3 + 3*t**2 + 7*t + 4. Let z be c(5). Let g = -3 - z. Suppose g = 3*v + 2*m - 42, -80 = -5*v - 4*m. What is the remainder when v is divided by 7?
6
Let f(w) be the second derivative of -w**4/12 + 4*w**3 - 31*w**2/2 + 417*w + 1. Suppose 0 = -2*k + 10 + 32. What is the remainder when 255 is divided by f(k)?
31
Let n(b) = 775*b**3 - 12*b**2 + b - 15. Calculate the remainder when n(2) is divided by 12.
7
Let i(k) = -k**2 - 7*k + 80. Let a be i(-13). What is the remainder when (0 + -2)/(a/(-5)) - -52 is divided by 18?
3
Suppose 136 = 24*u - 560. Suppose -574 = 242*k - 256*k. What is the remainder when k is divided by u?
12
Suppose -2*h + 339 = 5*t, h + 4 - 1 = 0. Suppose 1444*r - 1438*r - 132 = 0. What is the remainder when t is divided by r?
3
Let n = 1403 + -1340. Calculate the remainder when 211 is divided by n.
22
Let s = -56 - -14. Let f = s - -18. Let u = f + 32. Calculate the remainder when 31 is divided by u.
7
Suppose -c = 10 + 13. Calculate the remainder when 317 is divided by ((3 + c)/4)/(3/(-24)).
37
Suppose -77*h - 17271 + 18041 = 0. Suppose -67 = -u + o - 15, u = -4*o + 67. Calculate the remainder when u is divided by h.
5
Suppose 13*s + 794 = 92. What is the remainder when 105 is divided by (s/(-12))/(4/24)?
24
Suppose 0 = 87*j - 22430 - 50563. What is the remainder when j is divided by 11?
3
Let p = 6355 - 6248. Calculate the remainder when 663 is divided by p.
21
Let s = -134 + 151. What is the remainder when 1372 is divided by s?
12
Calculate the remainder when (-54)/(12/(-4)) + 1001 is divided by 176.
139
Suppose 65*k - 61*k - 16712 = 3*g, 4*k + 5*g = 16680. Calculate the remainder when k is divided by 22.
17
Suppose 6*f - 185 = f. Let c(y) = 17*y + 335. Let k be c(-17). Suppose -650 = -4*s - k*s. What is the remainder when f is divided by s?
11
Calculate the remainder when 16174 is divided by 30/(-24)*1248/(-130).
10
Let l = -16 - -28. Suppose 4*o + 11 = 5*f - 13, 5*f = -4*o + 16. Suppose 5*x - 19 = f*b, -4*x = -3*b - 17 + 1. What is the remainder when l is divided by x?
5
Let b = -152 + 123. What is the remainder when 17265/145 - (-2)/b is divided by 30?
29
Let r = -44 - -508. Suppose -706 = -26*n + r. What is the remainder when 132 is divided by n?
42
Let v(c) = -5*c**3 + c**2 + c - 1. Let b be (-10)/35 - 27/(-21). Let y be v(b). Calculate the remainder when 50 is divided by 104/(-14)*14/y.
24
Suppose 248 = 5*a - 2*o, 4*o + 0*o = -2*a + 104. Suppose 2*h = x + h - 18, -5*h = -25. Let g = a - x. Calculate the remainder when g is divided by 14.
13
Suppose -16*d = -20*d + 8. Let v(f) = -3*f**2 + 25*f + 6. What is the remainder when v(8) is divided by 1/(-4)*d - (-34)/4?
6
Let b(u) = -42*u**2 + 197 - u + u**3 + 40*u - 3*u**2 + 15*u. Calculate the remainder when b(44) is divided by 80.
77
Suppose 919 = 4*x + 5*h, 0 = 3*x + 2*h - 4*h - 718. Let f = -82 + 98. Calculate the remainder when x is divided by f.
12
Calculate the remainder when 7034/7 - (-1)/7 is divided by 8.
5
Suppose -125*w = -129*w + 4. Let f = w + 113. What is the remainder when f is divided by 10?
4
Calculate the remainder when (594/(-324) + 3/2)/(5/(-32520)) is divided by 444.
392
Suppose 119*k - 95600 = -81*k. What is the remainder when k is divided by 7?
2
Suppose -9*v - 17*v = 0. Suppose v = 4*w + 3*w - 546. Calculate the remainder when w is divided by 16.
14
Suppose 0 = -19*r - 158 + 3293. Suppose 5*p = -3*j + 861, r = p - 2*j - j. Calculate the remainder when p is divided by 25.
21
Let u(j) = j**3 - 2*j**2 - 2*j + 10. Suppose 0 = -4*x + 3*w + 12, w - 6 = -x - 10. What is the remainder when 227 is divided by u(x)?
7
Let i = -12 - -105. Let z(o) = 3*o - 49. Calculate the remainder when i is divided by z(27).
29
Suppose 3138 = 13*w + 3008. What is the remainder when 243 is divided by w?
3
Let p(a) = 2*a**3 + 35*a**2 - 6*a - 83. Let c be p(-18). What is the remainder when 51 is divided by (1*6)/(c/26 + 13)?
3
Suppose 11*h + 45 = 375. Let l(n) = 21*n - 10. What is the remainder when l(6) is divided by h?
26
Suppose 5*b = -d + 19, 5 + 17 = 2*d + 2*b. Suppose -d*t = -8 - 37. Calculate the remainder when 8 - (-1 + 0)*-1 is divided by t.
2
Let j be -4*(18/20)/((-30)/25). Suppose 0*q = -j*b - 3*q + 9, -5*b = q - 23. Calculate the remainder when 91 is divided by b.
1
Let q(a) = -13*a**3 - 12*a**2 - 66*a - 356. Calculate the remainder when q(-7) is divided by 13.
12
Let b(f) = -403*f + 6460. Suppose -3*p + 2*h + 73 = 0, 4*p + 67 = 6*p - 5*h. What is the remainder when p is divided by b(16)?
9
Let x(d) = 2*d - 14. Let j be x(6). Calculate the remainder when (-126)/(-9) - (-16)/4 is divided by (-40)/12*3/j.
3
Let g = 21226 + -21175. What is the remainder when 3722 is divided by g?
50
Let k(m) = 4*m**2 + 3*m. Suppose 5*o + 63 = 18. Calculate the remainder when (o/(-5) + -3)/(4/(-130)) is divided by k(-2).
9
Suppose 3*n = -18*n + 4179. Let c = n + -166. What is the remainder when 89 is divided by c?
23
Suppose 2*o - 381 = -o + r, 4*o - 4*r = 500. Suppose -o = -51*c + 47*c. Calculate the remainder when 156 is divided by c.
28
Suppose -6*l + 1439 + 5149 = 0. Suppose 2*v + 4*o - l = -o, -3*v = -o - 1613. Calculate the remainder when v is divided by 54.
53
Suppose -8*t + 10*t - 226 = 0. Suppose x - 4*x + t = -5*i, 0 = -2*i - 2. Suppose o + 2*c = x, o - c - 30 = -0*c. Calculate the remainder when o is divided by 7.
4
Suppose -5*j + 11 = q, j - 4*j - q + 7 = 0. Suppose -5*f = -r - j*r - 43, 4*f - 38 = 3*r. What is the remainder when 5 is divided by (r/3 - -1) + 3?
1
What is the remainder when 7/(77/(-1826))*(-6 - 208) is divided by 145?
144
Calculate the remainder when -3 + -3 + (-12 - 12462/(-6)) is divided by 16.
11
Let r(m) = 102*m - 614. Let h be r(6). Let f = -1 - -2. What is the remainder when h/(f + (-27)/21) is divided by 4?
3
Suppose 0 = 41*q - 317*q + 1420572. Calculate the remainder when q is divided by 36.
35
Let n = -22 + 41. Let o be (3*-16)/(-3) + (-3 - -2). Suppose 6*h - 3*h = o. What is the remainder when n is divided by h?
4
Suppose -6438 + 872 = -46*s. Calculate the remainder when s is divided by 57.
7
Suppose -44878 = -3*x - 3*m + 25172, 3*m - 23364 = -x. Calculate the remainder when x is divided by 161.
159
Suppose -114 = -4*y - 3*u, 3*y - 8*y + 3*u + 129 = 0. Calculate the remainder when 2143 is divided by y.
10
Let v = -7 - -7. Suppose v*n - 96 = -4*n. Let q(h) = h**3 - 16*h**2 - 30*h -