8. Suppose 7*j - 34 = u. Let x(f) = -f**3 + 11*f**2 - 16*f - 14. What is the remainder when x(j) is divided by 15?
5
Let p = -6295 + 6954. Calculate the remainder when p is divided by 30.
29
Let b(v) = -v**3 + 3*v**2 - 2*v - 3. Let o be b(0). Let t(a) = 6*a**2 - 3*a + 12. What is the remainder when t(o) is divided by 65?
10
Calculate the remainder when (-2)/29 - (16 + 304570/(-1015)) is divided by 3 + (1 - -30) - 2.
28
Let t be (-417)/3 + 1 + -3. Let x = -108 - t. Calculate the remainder when x is divided by 5.
3
Let x(r) = 7*r - 16. Let o be x(0). Let g be (-4)/3*(o - -1). Suppose -16*s + g*s - 332 = 0. What is the remainder when s is divided by 22?
17
Suppose -16 - 11 = 3*v. Let t = 19 + v. What is the remainder when 561/21 - (-32)/112 is divided by t?
7
Let r be 3*(2/(-4))/((-6)/(-32)). Let b(z) = -z**3 - 11*z**2 - 27*z - 3. What is the remainder when 671 is divided by b(r)?
20
Let q = 395 + -27. Let s = q - 332. Let t(o) = 105*o**3 + o**2 - 1. Calculate the remainder when t(1) is divided by s.
33
Suppose 9*u = 16 + 47. Suppose 2*k - 2*q - 310 = 0, u*k + 613 = 11*k + 3*q. Calculate the remainder when k is divided by 39.
37
Let w(z) = 385*z - 3. Let p be w(1). Suppose -33*f + 35*f - p = 0. What is the remainder when f is divided by 48?
47
Suppose -7*x + 376 = 341. Suppose -x*k + 12 + 88 = 0. Calculate the remainder when k is divided by 17.
3
Suppose -2*a = -5*a + 78. Suppose -4*m - 922 = -5*w, -4*w + 2*m + 1237 = 509. What is the remainder when w is divided by a?
22
Let w(v) = 23*v - 68 + 15*v + 82 + 70 + 64. Calculate the remainder when w(-3) is divided by 28.
6
Suppose 30*j + 1754 - 12824 = 0. What is the remainder when j is divided by 194?
175
Suppose 0 = -85*p + 130*p - 8190. What is the remainder when 2362 is divided by p?
178
Let c = 514 + -465. Suppose -385*q = -392*q + c. Calculate the remainder when 21 - (-2 - -1)/1 is divided by q.
1
Let o(g) = -g + 75. Let p be o(0). Let a be (p/(-10) + 5)*(-4)/5. Suppose 3*r = -4*t + 74, 0*r + a*t + 8 = r. Calculate the remainder when r is divided by 7.
4
Suppose 18 - 225 = -9*t. What is the remainder when (-42)/(-1*(-3 + 4)) is divided by t?
19
Let o = -13882 - -14026. Calculate the remainder when 7487 is divided by o.
143
Let f(s) = 189*s + 124. Let z be f(-3). Let x = z - -528. Calculate the remainder when x is divided by 23.
16
Let i = 2699 - 2658. Calculate the remainder when i is divided by 26.
15
Let s = 21993 + -21960. What is the remainder when 654 is divided by s?
27
Suppose -o + 3 = -4*o + 3*l, 15 = 5*l. Let y be 94 - (o + (-4)/(-4)*-4). Let v = y + -42. What is the remainder when v is divided by 14?
12
What is the remainder when 9852 is divided by 14/(0 + 2)*(11 - 768/84)?
11
Let c be 15/4*144/108. Suppose i = 5*w - 74, -w + c*i - 3 = -13. What is the remainder when 192 is divided by w?
12
Suppose -85*o + 52 = 6*q - 80*o, 2*o = 4*q - 24. Calculate the remainder when 149 is divided by q.
2
Suppose 4*n + 3*v - 2956 = 0, -5*v = 9*n - 10*n + 762. Calculate the remainder when 2260 is divided by n.
34
Let v = -35 + 40. Suppose 0 = v*w - 9 - 21. What is the remainder when ((-27)/w)/(4/(-16)*1) is divided by 10?
8
What is the remainder when 726 is divided by (-1 + (-2)/6)*(8 + 6580/(-56))?
142
Let v(h) = -16*h**2 - 93*h - 56. Let a(x) = 158*x**3 + x. Calculate the remainder when a(1) is divided by v(-5).
6
Suppose -10*t - 104 = -6*t. Let m(w) = -w**3 - 25*w**2 + 27*w + 40. What is the remainder when m(t) is divided by 9?
5
Suppose 5*i - 1825 = 5*q, 2002 = 5*i + 2*q + 191. What is the remainder when i is divided by 129?
105
Let x(l) = l**3 - 3*l + 5. Suppose 3*r - 69 = 4*m - 85, -m - 4*r + 23 = 0. What is the remainder when x(5) is divided by m?
3
Suppose -55 = 3*m - 8*m. Suppose -2 = n - 2*i + 1, n + 5*i - m = 0. What is the remainder when 95 is divided by 194/6 + n*(-4)/12?
31
Let i(h) = h + 3. Let b(d) = -d**2 - 5*d + 27. Suppose 0*j - 28 = 4*j. Let c be b(j). What is the remainder when 74 is divided by i(c)?
10
Let p(v) = v**3 - 46*v**2 - 67*v + 1297. Calculate the remainder when p(47) is divided by 75.
57
Calculate the remainder when ((-18)/(-11))/((-570)/(-880935)) is divided by 504.
9
Let a(h) = -h**3 + 15*h**2 - 38*h + 867. What is the remainder when a(15) is divided by 31?
18
Let s(f) = -44*f**2 - 199*f - 15. Calculate the remainder when s(-4) is divided by 4.
1
Suppose -4303 = 49*n - 10428. Suppose 3*q - 10 - n = 0. Calculate the remainder when 311 is divided by q.
41
Let d(z) = 14*z + 3*z - 9*z**2 + z**3 - 12 + 11*z - 16*z. What is the remainder when 70 is divided by d(8)?
10
Suppose -8*b - 1797 + 914 + 899 = 0. Calculate the remainder when 6 is divided by b.
0
Suppose 3*l = 3*t - 0*t + 33, -4*t + l - 29 = 0. Let u = -1 - t. Suppose 4*z + 0*z = u*c + 6, 3*z = 12. Calculate the remainder when 6 is divided by c.
0
Let i = -308 + 321. Let h(o) = -2*o**3 + 29*o**2 - 18*o + 18. What is the remainder when h(i) is divided by 49?
46
Suppose -128 = 14*n + 110. Let b = n - -21. Suppose 80 = 2*g + 5*u, 0 = 3*g + b*u - 38 - 75. What is the remainder when g is divided by 23?
12
Suppose 7*o = 11*o - 4. Suppose 0 = -15*h + 74 + o. What is the remainder when 24 is divided by h?
4
Let z(h) be the first derivative of -63*h**2/2 - 79*h - 219. What is the remainder when z(-3) is divided by 2?
0
Let r(l) = 52*l**2 - 9*l + 69. What is the remainder when r(6) is divided by 118?
117
Let d = 24 + 11. Let z(k) = 4*k**3 + 48*k**2 - 130*k + 58. What is the remainder when d is divided by z(2)?
13
Let o(u) = 4*u**2 + 5*u - 2. Let d be o(3). Suppose y - d = 29. Suppose 3*b - 33 = -5*n, -5*b = n - 50 - 27. Calculate the remainder when y is divided by b.
14
Suppose -32145*c - 41460 = -32165*c. What is the remainder when c is divided by 27?
21
Suppose 2*s - 3 = a, -7*s - 7 = -11*s + a. What is the remainder when 29 is divided by s/2*4 - -2?
5
Let q = 205 - 200. Suppose 12 = d + d - 2*t, -q*d + 30 = 2*t. Calculate the remainder when 135 is divided by d.
3
Suppose 3*n = -g + 22, -g - 16*n = -21*n + 26. What is the remainder when 4204 is divided by g?
0
Suppose 0 = 2*t - 5*t + p + 316, -t + 110 = -5*p. Let u = 152 - t. Let g = u - 30. Calculate the remainder when g is divided by 9.
8
Calculate the remainder when (2/30 + 16401/(-1065))/((-2)/852) is divided by 13.
6
Suppose 0 = 3*c - 47 + 257. Let p = 93 + c. Calculate the remainder when 112 is divided by p.
20
Suppose -6*q + 244 = -2*q. Suppose -55*w - 270 = -q*w. Calculate the remainder when 51 is divided by (32/(-20) + 2)*w.
15
Let n be (3 - 2)/((-8 + -3)/(-1067)). Suppose -n*a + 388 = -96*a. Calculate the remainder when a is divided by 14.
10
Suppose 2*j = 4*k + 530, 2*j + 0*k - 6*k - 542 = 0. What is the remainder when j is divided by 37?
31
Suppose -r + 2698 = -m, -8901 = -6*r - 3*m + 7242. What is the remainder when r is divided by 223?
17
Suppose 4*o - 177 = 27. Let u = -33 + o. Let i = 22 - u. Calculate the remainder when 6 is divided by i.
2
Let v = -190 + 355. Let a = -169 - -203. What is the remainder when v is divided by a?
29
Let r = 204 + -207. What is the remainder when (1184/(-48))/(1/r) is divided by 19?
17
Let a(k) = 8*k**2 - 2*k + 1. Suppose 2*f - 66 = 2*s, 33*f = 38*f + 3*s - 93. Calculate the remainder when f is divided by a(1).
3
Suppose 3*m - 2467 = -5*j, 17*j + 467 = 18*j + 5*m. Calculate the remainder when j is divided by 453.
44
Let o be (-2)/(-11) + 340/187. Suppose -p + 5*p - 50 = -o*z, -5*z - 4*p = -113. Calculate the remainder when z is divided by 12.
9
Suppose 0 = 4*d - 13*d + 1637 + 145. Calculate the remainder when 11282 is divided by d.
194
Suppose -23*g - 10374 = -44*g. What is the remainder when g is divided by 16?
14
What is the remainder when 146 is divided by (854/21)/((-10)/(-15))?
24
Let r = -523 - -541. Let b = r + -12. What is the remainder when 38 is divided by b?
2
Let p(r) = -r**2 + 29*r + 8. Let c be p(11). What is the remainder when 37 is divided by (c - 224)*1*2/(-4)?
1
Let y be 3 + 1320/10*1. Suppose 4*z = -5*k + 1586 - y, -4*k + 1164 = 4*z. Calculate the remainder when k is divided by 24.
23
Let v(d) = 16*d**2 - d - 1. Let n(k) = 41*k + 394. What is the remainder when v(5) is divided by n(-8)?
64
Let z(a) = -9*a - 7. Calculate the remainder when z(-4) is divided by 8.
5
Suppose 0 = 2*u - 1 + 3. What is the remaind