8.
7
Let g(p) = -p**3 + 7*p**2 - 10. Let w be g(6). Let r be 12/5 + w/(-65). What is the remainder when (-24)/56 + 216/14 - r is divided by 5?
3
What is the remainder when (6 - 4) + 5/((-30)/(-2064)) is divided by 37?
13
Suppose 3957*b - 59904 = 3939*b. What is the remainder when b is divided by 9?
7
Let d be (-138)/(-621) + ((-19756)/(-18))/2. Suppose 15*q = 18*q - d. Calculate the remainder when q is divided by 46.
45
Let c(w) = -w**2 - 155*w - 609. Calculate the remainder when c(-6) is divided by 81.
42
Let x(k) = -k**3 + 6*k**2 - 4*k - 14. Let f be x(6). Let a = f - -44. Let w(r) = -2*r + 33. Calculate the remainder when 40 is divided by w(a).
19
Let n(f) = 19*f**3 + 2*f**2 + f - 1. Let d be n(1). Suppose -1078 + 3682 = d*q. Calculate the remainder when q is divided by 42.
40
Suppose -152*m + 2*v + 1278 = -148*m, -3*m = 2*v - 976. What is the remainder when m is divided by 44?
14
Let q = -143 + 747. Suppose -9*x = -q - 314. Calculate the remainder when x is divided by 13.
11
Let y(r) = -136*r**3 - 9*r**2 + 7*r - 3. Calculate the remainder when y(-3) is divided by 70.
67
Suppose -3*w + 4*c - 6*c = -22860, 4*w - 3*c = 30514. Calculate the remainder when w is divided by 29.
26
Let n = 55875 - 55861. Let z(m) = 4*m**2 + 3*m + 3. Let c(x) = 5*x**2 + 4*x + 3. Let s(g) = -3*c(g) + 4*z(g). What is the remainder when s(4) is divided by n?
5
Let m = 31 + -4. Let w(q) = 7*q**3 - 11*q**2 + 8*q - 8. What is the remainder when w(3) is divided by m?
25
Suppose -54 - 51 = -3*b + 5*c, 5*c = 0. Suppose b = 2*n + 23. Calculate the remainder when 14 is divided by n.
2
Let i(p) = p**3 - 908*p**2 + 24*p + 65. Suppose 5*y + 275 = -3*k, 4*k = -2*y + 6*y + 252. Let n = y - -81. What is the remainder when i(0) is divided by n?
19
Let j = 59 - 41. Suppose 0 = -2*w - q + 61, 3*w = 2*w - 3*q + j. Let b = 67 - w. What is the remainder when b is divided by 12?
10
Suppose -10404 + 33764 = 8*r. Calculate the remainder when r is divided by 23.
22
Let d(g) = g**3 - 7*g**2 + 10*g + 11. Suppose 0 = -k - 2*k + 15. Calculate the remainder when 86 is divided by d(k).
9
Suppose -7*b - 490 = -34*b + 185. Calculate the remainder when 1972 is divided by b.
22
Let w(m) = m**3 + 4 - 4 - 7*m**2 - 9 + 15*m**2 + 10*m. Let b = 68 - -49. Calculate the remainder when b is divided by w(-4).
12
Suppose 1341 = 14*y - 1235. Calculate the remainder when y is divided by 136.
48
Suppose 0 = 5*s + 2*k - 1490, 122 = -3*s + 5*k + 1016. What is the remainder when s is divided by 15?
13
Let z be 1*-3 + 0 + -7 + 28. Suppose -5*u = 3*c - 2*c + 18, -z = c + u. Let n = c - -30. What is the remainder when n is divided by 7?
5
Let g = -532 + 42. Let b = g + 549. Let p(m) = m**2 + 7*m + 9. What is the remainder when b is divided by p(-8)?
8
Suppose 1262 = 2*n + 3*u + 246, 0 = -3*n - 2*u + 1539. What is the remainder when n is divided by 162?
31
Let n be (2 - 0) + 6/18*3. Suppose 0 = 4*w - 3*f - 64, 4*f = -4*w + n*f + 48. What is the remainder when (-41 - -42)*(1 - -48) is divided by w?
10
Suppose -4*k + 8*z = 3*z - 252, -5*k = -4*z - 324. Let v = k - 57. Calculate the remainder when 185 is divided by v.
9
Let l = 11652 - 11470. What is the remainder when l is divided by 17?
12
What is the remainder when 70 is divided by -1 - (80/50)/(6/(-30))?
0
Let s(b) = b**2 - 217*b + 433. What is the remainder when s(0) is divided by 218?
215
Suppose -5*w = 5*q - 1560, -2 - 2 = w. What is the remainder when q is divided by ((-36)/(-54) + (-19)/6)*-4*1?
6
Let z(a) = 3*a**2 - 7*a**2 - 25 + 3*a**2 - 20*a + 0*a**2. Let m be z(-18). Suppose 2*x = -m + 65. Calculate the remainder when x is divided by 14.
13
Let h(q) = -100*q + 116. Let d be h(-7). Let j = 823 - d. Calculate the remainder when (1/2)/((-2)/(-136)) is divided by j.
6
Let l(g) = g**3 - 71*g**2 + 137*g + 87. What is the remainder when 3486 is divided by l(69)?
12
Let p(y) = 53*y**2 + 10*y + 11. Let b be p(-2). Let z = 276 - b. What is the remainder when z is divided by 25?
23
Let k = -2516 + 2603. Calculate the remainder when k is divided by 13.
9
Suppose 25*s - 4837 - 513 = 0. What is the remainder when s is divided by 29?
11
Calculate the remainder when 222 is divided by ((-462)/(-44))/(3/4).
12
Let p be (8 - 13)*44/(-5). Let r be (-32)/48 - p/6. Let y = 0 - r. What is the remainder when 46 is divided by y?
6
Suppose 4*k + 27*k - 45825 = 27180. Calculate the remainder when 2358 is divided by k.
3
Let p(h) = h**3 + 2*h**2 - 44*h - 8. Let b = 44 - -2. Calculate the remainder when b is divided by p(6).
14
Let t(i) = -30*i + 1731. What is the remainder when t(37) is divided by 27?
0
Let u = -1315 + 1339. Calculate the remainder when 711 is divided by u.
15
Suppose -o = 3*p - 69, -3*o - p + 123 = -o. Let x = o + -40. Let r(b) = 2*b**3 + 3321*b**2 - 16653*b + 1. Calculate the remainder when x is divided by r(5).
9
Suppose 2*u - 1014 = 5*t, 1625*t - 1521 = -3*u + 1627*t. Calculate the remainder when u is divided by 106.
83
Let w = 4814 - 4180. What is the remainder when w is divided by 165?
139
Suppose 0 = -60*f + 59*f - 46. Let x = f + 55. Suppose -3*s + 6*s + 4*q - 98 = 0, 0 = -3*s + q + 73. What is the remainder when s is divided by x?
8
Let v(r) = r**2 + 11*r + 30. Let i be v(-7). Suppose i*b + 4*m + 18 = 84, 45 = 2*b - 3*m. Calculate the remainder when b is divided by 11.
5
Let q = 13 + -9. Suppose 2*c + 3*c = 4*i + 401, q*i = -2*c - 366. What is the remainder when i/(2/(-1)) - 2 is divided by 16?
13
Let t be (-8)/92 + (-432)/(-207). Suppose 4*h = -4*n + 388, -6*h + 481 = 5*n - t*h. What is the remainder when n is divided by 24?
21
Let w(l) be the second derivative of 2*l**4/3 + 7*l**3/6 + 22*l**2 - 2*l - 100. What is the remainder when w(-4) is divided by 37?
33
Let k be (-2940)/(-14) + (0 - (4 - 3)). Suppose -34*d + 583 = k. What is the remainder when 86 is divided by d?
9
Suppose 0 = -y - 316 - 165. Let f = -462 - y. Let l = 13 - 2. What is the remainder when f is divided by l?
8
Let o(q) = -q**3 - 53*q**2 + 166*q - 85. What is the remainder when 1483 is divided by o(-56)?
25
Let a(b) = -2*b**3 - 132*b**2 + 128*b - 390. Calculate the remainder when 388 is divided by a(-67).
4
Suppose 354*x = 352*x + 10. Let j(i) = -95*i + 482. Calculate the remainder when ((-4)/6)/(1/(-153)) is divided by j(x).
4
Suppose -339*w + 662*w - 345*w + 440 = 0. Calculate the remainder when 1698 is divided by w.
18
Suppose -9*d + 2*j = -4*d - 1326, -3*j = -2*d + 526. Suppose 6*h - 4*t + 148 = 8*h, 2*h + 2*t - 142 = 0. What is the remainder when d is divided by h?
62
Let g be (2/14)/((-1)/(-7)). Calculate the remainder when (-420)/(-56)*(-4)/(-3) is divided by g + (2 - -1) + -1.
1
Let x = 3809 + -3384. What is the remainder when x is divided by 61?
59
Suppose -m + 21 = 4*w, 24 = 7*w - 4*w - 2*m. Suppose 11*c - 15*c = -88. What is the remainder when c is divided by w?
4
Let x be (-1)/(-4) + 7 + (-24)/(-32). Let m(r) = -9*r**2 + 74*r - 3. Let y(o) = 2*o - 3. Calculate the remainder when m(x) is divided by y(5).
6
Let u(k) = 10*k - 15. Let r be u(5). Let i = 5 + r. Calculate the remainder when 79 is divided by i.
39
Let k(f) = -3*f + 106. Suppose 4*g + 3*t = -24, -4*t - 1 = -5*g - 0*g. Calculate the remainder when k(g) is divided by 31.
22
Let q(t) be the third derivative of -9*t**2 + 0 + t**3 + 0*t - 1/8*t**4. What is the remainder when 70 is divided by q(-4)?
16
Let h be 0 - (4 + 0 - 8). Suppose 0 = 4*t + g - 0*g - 101, h*t - 3*g = 81. Let m(k) = -9*k - 201. What is the remainder when t is divided by m(-24)?
9
Let r be -1 + (-10)/25*70/(-4). Suppose -r*v + 70 = 4*v. What is the remainder when 47 is divided by v?
5
Let b be (-8 + 4 + -82)/(3/(-30)). Let p = b + -729. What is the remainder when p is divided by 33?
32
Let d = 12339 + -12293. Calculate the remainder when 2 + (-1 - 21)*-6 is divided by d.
42
Let x = -998 + 1040. Let d(s) = -s**2 + 43*s - 5. Calculate the remainder when d(x) is divided by (1/(-1))/(2/(-8)).
1
Suppose 80 = 3*y - 4*k, -y + 2*k = 6*k. What is the remainder when 156 is divided by y?
16
Calculate the remainder when 971 is divided by 8/(160/(-1510))*(-1 + -1).
65
Suppose 165*x - 2738 = -98. Calculate the remainder when 622 is divided by x.
14
Suppose 6823 = 64*j + 871. What is the remainder when j is divided by 24?
21
Suppose 0*h - 18*h = -5274. Suppose -3*c + 7*