alculate the remainder when k(-8) is divided by 6.
2
Let o = 50 - -41. Suppose 4*p = 3*g - 46, 627*g - 629*g - 3*p + 8 = 0. What is the remainder when o is divided by g?
1
Let f = 2929 - 80. Suppose 2852 = n + f. Calculate the remainder when n is divided by (-2)/(-9) - 7/(-9).
0
Suppose 0 = i - 11*l + 7*l - 1582, 3*l + 1576 = i. What is the remainder when i is divided by 380?
38
Let m = 16964 + -16941. Let d(b) = -b**3 - 6*b**2 - 5*b + 4. Let l be d(-5). Suppose -l*g + 123 = -37. Calculate the remainder when g is divided by m.
17
Let u(b) = -2*b**2 + 133*b + 693. Calculate the remainder when 399 is divided by u(70).
196
Suppose 0 = 3*z - 5*n - 699, -5*n = 8*z - 12*z + 932. Calculate the remainder when z is divided by 26.
25
Suppose 8044 = 95*s + 7379. Suppose 197 = 4*i - 51. Calculate the remainder when i is divided by s.
6
Let g(m) = 142*m**2 + 2*m - 13. Let k(p) = -p**2 + 3*p - 1. Let q(u) = g(u) - 4*k(u). Calculate the remainder when q(-1) is divided by 41.
24
Let x(t) = -19*t - 2. Let r(f) = -9*f - 1. Let b(q) = 5*r(q) - 2*x(q). Let a = 19496 + -19492. What is the remainder when b(-2) is divided by a?
1
Suppose 0 = -637*k + 643*k - 4194. What is the remainder when k is divided by 47?
41
Let r(f) = 2493*f - 7342. Let n = 20 + 0. What is the remainder when r(3) is divided by n?
17
Let a be (-2)/(-4) - (-2170)/(-4). Suppose 2100 = -17*i + 10*i. Let t = i - a. Calculate the remainder when t is divided by 61.
59
Suppose 127*t = 133*t - 126. Let a = 241 - t. What is the remainder when a is divided by 75?
70
Let u(f) = -f**2 + 43*f + 64. Calculate the remainder when u(34) is divided by 192.
178
Let z(d) = 8*d - 6. Suppose 0 = -24*c - c. Suppose 2*x + 19 - 39 = c. Calculate the remainder when z(4) is divided by x.
6
Suppose 3*o - 7*o = b - 64, 5*o - 185 = -3*b. Suppose 0 = -30*t + 24*t + b. Calculate the remainder when t is divided by 3.
1
Let q = 207 + -199. Let i(d) = -d**3 + 5*d**2 + 46*d - 14. What is the remainder when i(q) is divided by 58?
46
Let b = -5 - -6. Let o be (-1*b)/1*0/19. Suppose -9*t + 5*t + 28 = o. What is the remainder when 22 is divided by t?
1
Let v = -12 - -51. Let z(o) = 8*o**2 + 220*o + 1064. What is the remainder when z(-5) is divided by v?
8
Suppose 118*k + 108 - 1598 = 1224. What is the remainder when 2113 is divided by k?
20
Suppose 0 = 2*f - 46 - 16. Let b = 3782 + -3706. What is the remainder when b is divided by f?
14
Suppose 4*a = -4*r + 196, 2*a - 28 = -r + 16. Let i(y) = 1743*y - 1724. What is the remainder when r is divided by i(1)?
16
Suppose -5*n + 4*n + 3*s + 9 = 0, -2*n - s = -4. Let l = n - -10. Calculate the remainder when 570/9 - (-2)/6*-4 is divided by l.
10
Suppose 0 = 56*p - 3370 - 1558. What is the remainder when 266 is divided by p?
2
Let j be (-200)/(-14) - (-3)/21*-2. Let v = 2 - j. What is the remainder when 37 is divided by -3*((-64)/v)/(-2)?
5
Let x be (39/6)/(1/26). Suppose 172*m = x*m + 327. Calculate the remainder when m is divided by 19.
14
Let q be -2*5/(-10)*67. Suppose -q*k + 63*k + 224 = 0. What is the remainder when k is divided by 16?
8
Suppose -2*q - 84 = -5*o - 0*q, 3*q + 81 = 5*o. Let u be 1/(o/8 - 2). Suppose -97 - 3 = -u*l. Calculate the remainder when 46 is divided by l.
21
Let l be 0/(5/((-15)/(-9))). Suppose l = -k + 5*k - 280. Calculate the remainder when k is divided by (-2)/9 + 1962/81.
22
Let y(a) = a**3 - 2*a**2 + 4*a - 3. Let d be y(2). Suppose -4*x = 2*w - 50, 0 = w - 0*w - d. Let v = x + 5. Calculate the remainder when 71 is divided by v.
11
Let n = 19152 + -19113. Calculate the remainder when 428 is divided by n.
38
Let q = 1826 - 1421. Calculate the remainder when 1219 is divided by q.
4
Let n(l) = 1074*l + 5306. What is the remainder when n(-4) is divided by 6?
2
Let c = 45 + -43. Calculate the remainder when (6/18)/(((-4)/c)/(-402)) is divided by 6.
1
Let l(x) = 7*x + 102. Let z = 482 - 490. What is the remainder when 549 is divided by l(z)?
43
Suppose -72809*h + 72812*h - 27 = 0. What is the remainder when 2226 is divided by h?
3
Suppose x + 4*q + 6 = -5, 3*q - 6 = 4*x. Let r be x - -1 - -2*(-2 - -5). Suppose 7*n = -r*n + 275. Calculate the remainder when 45 is divided by n.
20
Let s(u) = -3*u**2 + 8*u - 9. Let x be s(4). Let i be 1*(6/(-3) + -63). What is the remainder when 49 is divided by 10/x*i/2?
10
Suppose -92 = -5*o - 20*q + 23*q, 0 = 4*o + q - 77. Calculate the remainder when 42 is divided by o.
4
Let y(l) = -l**3 + 23*l**2 - 42*l + 12. What is the remainder when 41 is divided by y(21)?
5
Suppose 198*p - 184*p - 12125 = -3557. What is the remainder when p is divided by 45?
27
Let g(j) = j**3 - 20*j**2 - 43*j + 11. Let w be g(22). Suppose -14*o - 380 = -w*o. Calculate the remainder when 157 is divided by o.
17
Calculate the remainder when (-3)/(1*(6 - (854/(-71))/(-2))) is divided by 34.
9
Suppose -5*m + 90 - 65 = 0. Suppose -4*r - 3*q + 129 = -2*r, -m*r = -5*q - 360. Calculate the remainder when r is divided by 12.
9
Let p(m) = m**2 - 17*m + 77. Let l be p(5). Let h = 33 - l. Calculate the remainder when 30 is divided by h.
14
Let r(s) = 2*s**2 + 89*s - 1799. What is the remainder when r(47) is divided by 7?
5
Suppose 5*q = -3*k + 836, -5*k + 1257 = 5*q - 133. What is the remainder when 785 is divided by k?
231
Let h = -157 + 161. Suppose 0 = -h*w + 12, -2*w - 1023 = -5*x + 2*w. What is the remainder when x is divided by 70?
67
Let d be 4890/40 - 1*(-2)/(-8). Let l = 149 - d. Suppose 33*r - 348 = l*r. Calculate the remainder when r is divided by 20.
18
Let g be (-13146)/(-56) - (-2 - 7/(-4)). Calculate the remainder when g/(-2)*(-12)/15 is divided by 19.
18
Suppose 77*m - 66646 - 64903 = -37301. What is the remainder when m is divided by 74?
40
Let d be -20 + 29 + 52*(-20)/(-16). Let j = -7 - -11. Suppose -6*r + j*r = -d. What is the remainder when r is divided by 8?
5
Let d(j) = 4*j**2 - 11*j - 23. Let z(h) = h**2 + 2*h. Let m(q) = -d(q) + 5*z(q). What is the remainder when 179 is divided by m(-22)?
44
Let w = -13855 - -13870. What is the remainder when 8024 is divided by w?
14
Let b(j) = -j**2 + 15*j - 41. Let n be b(5). Suppose -3*y - 89 = -5*u, 4*y = y - n. Calculate the remainder when 30 is divided by u.
14
Let o = 16451 + -10514. What is the remainder when o is divided by 45?
42
Suppose -7*j = 3*j. Suppose j = 2*u - i + 450 - 1597, -4*i - 570 = -u. Calculate the remainder when u is divided by 24.
22
Let z(d) = -d**3 - 39*d**2 - 239*d - 469. Calculate the remainder when 21790 is divided by z(-32).
10
Suppose -4*f = 4*c + 24, -5*c + f - 26 - 16 = 0. What is the remainder when (-78)/52 + (-156)/c is divided by 10?
8
Let z(b) be the second derivative of -13*b**3/6 + 7*b**2 + 78*b. Calculate the remainder when 53 is divided by z(-1).
26
Let p = 3997 + -3813. Calculate the remainder when 328 is divided by p.
144
Let w be 1035/(-35) - (-6)/(-14). Calculate the remainder when 76 is divided by (-25)/(-2)*(-108)/w.
31
Let l = -960 + 1163. Calculate the remainder when 807 is divided by l.
198
Suppose -5*c = 5*g - 760, c - 196 + 68 = 3*g. Calculate the remainder when c is divided by (2/(-3))/(10/(-465)).
22
Let o be 93/(-7 + 7819/1120). What is the remainder when 516 is divided by o/(-48) + (-4)/(-6)?
100
Suppose 2 = -2*u + 3*p, -5*u + 4*p + 6 = -3. Suppose -5*d = -82 - 8. What is the remainder when d is divided by u?
3
Suppose 0 = d - 3*c - 4629, 149*d - 148*d = -4*c + 4622. What is the remainder when d is divided by 70?
6
Let u(w) = 227*w - 3 - 16 - 16 - w**2 - 244*w + 6. Let y = -42 + 28. Calculate the remainder when 89 is divided by u(y).
11
Let w = -3353 - -3364. Calculate the remainder when 185 is divided by w.
9
Let p(g) = -6*g**3 + g**2 + 4*g + 16. Let x = -812 - -812. Let d = -49 - -112. What is the remainder when d is divided by p(x)?
15
Suppose -296 - 168 = -2*c. Calculate the remainder when c is divided by -4 + 48/9 + (-612)/(-27).
16
Calculate the remainder when 919 is divided by (-2)/(-5)*(-1095)/(-7) + 60/(-105).
51
Suppose 249*g - 289 = 232*g. What is the remainder when 5318 is divided by g?
14
Let f(h) = 417*h - 2295. Suppose -3*w - 5*n = 16 - 58, -5*w + 3*n = -70. What is the remainder when f(6) is divided by w?
11
Let s(h) = -h**2 + 15. Let p be s(10). Suppose -200 = -6*b - 32. What is the remainder when 6 + -10 + (1 - p) is divided by b?