8. Let z(f) = f**3 + 8*f**2 + 6*f - 7. What is the remainder when l(79) is divided by z(-5)?
36
Suppose 2*z + 2*z = -z. Suppose -u - 2*k = 2*k - 14, -u + k + 19 = z. Calculate the remainder when u is divided by 11.
7
Suppose -3*a + 15 = 5*d, 0*d + 12 = 4*d - 3*a. Suppose 0*q + d*q = 330. Suppose -639*f = -583*f - 1568. Calculate the remainder when q is divided by f.
26
Let c(x) = 4*x + 3 + 2 + x**2 - 5*x + 2*x + 5*x. Let v = -1 + 6. Calculate the remainder when c(v) is divided by 21.
18
Suppose -3*t = -16*t + 95*t - 95530. Calculate the remainder when 3515 is divided by t.
20
Let v(t) = t**3 - 5*t**2 + 7*t - 4. Let r be -1*2/(-1 + (-5)/(-3)). What is the remainder when v(4) is divided by ((-10)/r)/(4/6)?
3
Suppose 12*h = 3*g - 3291, 2106 = -g + 3*g + 3*h. What is the remainder when g is divided by 29?
21
Let x = 6471 - 2542. Suppose -29593 = -32*m - x. What is the remainder when m is divided by 35?
32
Let c = 39446 - 38877. What is the remainder when c is divided by 22?
19
Let u(p) = 4*p**3 + p**2 + 37. Suppose -5*x - 5*z - 5 = 0, -5*x - 1 = 3*z + 2. What is the remainder when 230 is divided by u(x)?
8
Let g(y) = -y**3 - 30*y**2 + 23 - 27*y**2 + 36*y**2 - 19*y. Suppose -100 = 5*r + 4*o, r = 5*o - 14 - 6. What is the remainder when 9 is divided by g(r)?
0
Suppose -295 - 195 = -70*x. Let y = -52 + 105. What is the remainder when y is divided by x?
4
Suppose -5*l = -51*p + 46*p + 475, 5 = -l. Calculate the remainder when 1706 is divided by p.
86
Suppose 3*q = 0, 8*v = 5*v + 2*q + 558. Suppose 185*t - v*t + 113 = 0. What is the remainder when t is divided by 23?
21
Let i = -113 + 81. Let g(u) = -57*u - 447. Let n be g(-9). Let h = n + i. Calculate the remainder when h is divided by 13.
8
Let v be -4 + -2*(-5)/15*6. Suppose v = -12*q + 44 + 88. Calculate the remainder when 24 is divided by q.
2
Let x = 33 - -6. Suppose 4*h - h - x = 0. Let v = -336 - -412. What is the remainder when v is divided by h?
11
Let s be 9/(9/(-214)) - -3. Calculate the remainder when (-8)/12*(1 + s) is divided by 32.
12
Let v(z) = -z. Let q(n) = n - 56. Let d(i) = q(i) + 2*v(i). Let o be d(24). Let s = o - -98. Calculate the remainder when 160 is divided by s.
16
Let v(b) = -b**2 - 14 + 50*b + 43*b - 102*b. Let y(s) = s**2 - 6*s - 1. Let r be y(5). Calculate the remainder when v(r) is divided by 2.
0
Let m = -1488 - -1612. What is the remainder when m is divided by 16?
12
Suppose -40635 = -26*t - 34*t - 69*t. What is the remainder when t is divided by 9?
0
Let c(r) = -2*r**2 - r + 176. Let k be c(0). Suppose 62*u - 58*u = k. What is the remainder when 87 is divided by u?
43
Suppose -3*y + 2*o + 1 = 0, -y - o = -0*o + 3. Let z be (-3 - 1) + 2 + y. Calculate the remainder when 37 is divided by 5/(10/24)*(-5)/z.
17
Suppose 35*w - 58*w + 36*w - 936 = 0. Calculate the remainder when 1000 is divided by w.
64
Suppose 4*p + 10*y = 6*y + 2828, -2*p = -7*y - 1486. Calculate the remainder when 1443 is divided by p.
13
Let n(s) be the second derivative of 2*s**3 - 48*s**2 - 2*s - 3. Calculate the remainder when 83 is divided by n(9).
11
Let s(v) = v**3 - 13*v**2 - 25*v + 188. What is the remainder when s(17) is divided by 23?
22
Suppose -103*y - 7751 + 14757 = -68596. What is the remainder when y is divided by 230?
44
Let m = -57 + 105. Suppose -6*o + m = -2*o. Suppose 2*g - 79 = -17. Calculate the remainder when g is divided by o.
7
Let o(t) = 117*t - 794. What is the remainder when o(10) is divided by 20?
16
Calculate the remainder when 213 + (-4 - (-6 + -5)) is divided by (-32)/(-80) + (-732)/(-20).
35
Let g(j) = 3*j**2 - 23*j + 40. Let v be 195/91 + 2/(-14). Calculate the remainder when 74 is divided by g(v).
2
Suppose -707 = 3*a - 2*o, -4*o - 1 = 19. Let v = -238 - a. Calculate the remainder when 7 is divided by v.
0
Suppose 10 = 2*o - n, 0 = -0*o + 5*o + 2*n - 7. Let p be o*(-50)/45*6. What is the remainder when (114/(-5))/(6/p) - 3 is divided by 15?
13
Let d = 10438 - 9718. Calculate the remainder when d is divided by 334.
52
Suppose -y - 168 = -z, 6*y = 3*y + z - 494. Let q = -155 - y. What is the remainder when 111 is divided by q?
7
Let q be (-3 + 2)/((-11)/(-2563)). Let c = q - -252. What is the remainder when 69 is divided by c?
12
Let n be -5 + (-24)/(-3) + 12/3. Calculate the remainder when -9 + 12 + -5 + n*137 is divided by 64.
61
Let u be 4 + 248/(-60) - (-122)/15. Suppose 48 - 288 = -u*c. Calculate the remainder when 51 is divided by c.
21
Let h = -62 - -66. Suppose -h*r + 1300 - 212 = 0. Suppose -5*v - 50 = -3*b + 189, r = 4*b + 5*v. What is the remainder when b is divided by 16?
9
Let f = 420 + -232. Let p = f - 162. Calculate the remainder when 125 is divided by p.
21
Suppose -16 = -4*w - 0*w, -358 = -5*u - 2*w. Suppose 27*p - 11*p - 288 = 0. Calculate the remainder when u is divided by p.
16
Let z(a) = 117*a + 3193. Calculate the remainder when z(-26) is divided by 52.
47
Let k be (18/15)/((32/100)/4). Suppose -5*r + k = -265. Calculate the remainder when 335 is divided by r.
55
Suppose 4*k - 65 = -3*u + 122, k - 284 = -4*u. Calculate the remainder when 233 is divided by u.
14
Suppose 0 = -4*t + 95 + 33. Suppose -7*l - t = l. Let q(h) = -h**3 - 5*h**2 - 7*h - 9. What is the remainder when q(l) is divided by 3?
0
Let w(p) = -p**3 + 3*p**2 + 5*p - 3. Calculate the remainder when (-12 - 455/(-21))*6 is divided by w(3).
10
Let m(a) = 4*a**3 - 7*a**2 + a + 2. Let y = -74 + 104. Calculate the remainder when y is divided by m(2).
6
Let n be (1 - 0)*0/3. Suppose n = -3*i + 19 + 29. What is the remainder when 0 + (-6108)/(-132) + -6*5/110 is divided by i?
14
Let q = 21 - 148. Let f = 97 + q. Calculate the remainder when 43 is divided by (f/8)/(1/12*-3).
13
Let a be (0 - -94) + -7*(-8)/28. Suppose -5*r = -2*r - a. Calculate the remainder when r is divided by 13.
6
Let n = -1412 - -1434. Let u(z) = z**2 + 9*z - 3. What is the remainder when n is divided by u(-10)?
1
Suppose 0 = -3*r + 3*f + 3, 2*r + f - 22 = -f. Let h(d) = 3*d**2 - d - 32. Let o = 11 + 7. Calculate the remainder when h(r) is divided by o.
16
Let b(j) = -6*j - 11. Let u(r) = 79*r - 40*r - 3 - 40*r. What is the remainder when b(-4) is divided by u(-6)?
1
Suppose 93 + 33 = 2*v + 5*o, 2*v - 140 = 2*o. What is the remainder when v is divided by 3320/160 - 1/(-4)?
5
Suppose -2*h = a - 99, -22*h + 20*h + 5*a = -129. Calculate the remainder when h is divided by (-3)/2*(-10)/3.
2
Let g(o) = -13*o**2 - 86*o - 24. Let y(z) = 3*z**2 + 21*z + 6. Let s(l) = -2*g(l) - 9*y(l). What is the remainder when s(-15) is divided by 15?
9
Suppose 4*h - 8*h - 4*t = -3420, -2*h + 1716 = -4*t. Calculate the remainder when h is divided by 78.
76
Suppose -4*c - 12 = 0, 2*g + 3*c + 74 = 179. What is the remainder when 101 is divided by g?
44
Suppose -4*a = 4*y - 1108, 5*a + 13*y - 1405 = 12*y. What is the remainder when a is divided by ((-19)/(-38))/((-2)/(-228))?
54
Let v(p) = -3*p**3 + 97*p**2 + 196*p - 206. What is the remainder when v(34) is divided by 324?
30
Suppose -5*f - 57 = -67. Suppose -5*k - 301 = -2*h, 3*k - f*k = 5*h - 51. Let g = 99 + k. Calculate the remainder when g is divided by 13.
12
Let n(u) = -31*u - 67. Let i be ((-33)/5 - -2) + (-24)/60. Calculate the remainder when n(i) is divided by 9.
7
Suppose -13*s + 66*s = 477. Let l(d) = -d**2 + 26*d. Calculate the remainder when l(12) is divided by s.
6
Let w(g) = 2*g**3 - g**2 + 4*g - 8. Let s be (6/7)/(6/56). Let n(d) = d**2 - 5*d + 1. What is the remainder when w(3) is divided by n(s)?
24
Suppose 5*q = 3*n - 14, -3*q = -8*n + 5*n + 18. Let r = 200 - 97. Calculate the remainder when r is divided by n.
7
Let v(g) = 7*g**2 - 221*g + 3000. Calculate the remainder when v(14) is divided by 261.
234
Suppose -5*m = 2*o - 6, 2*o + 14 = 4*m + 2. Suppose -5*p + 2 + 33 = 0. What is the remainder when p is divided by m?
1
Let r = 58 + -47. What is the remainder when -6*6/(-2)*(-14)/(-4) is divided by r?
8
Suppose -276 = -70*b + 93*b. Let v(d) = -16*d + 0*d**2 - 7 - d**2 + 1. What is the remainder when 124 is divided by v(b)?
40
Let f = -3090 - -3078. Let q(i) = -2 - 2*i + 14 - i. Calculate the remainder when 189 is divided by q(f).
45
Let d(f) = 16*f**2 + 21*f + 20. Let q be d(-6). Suppose 566 = 4*j + q. Calculate the remainder when j is divided by 19.
5
Suppose 0 = 4*x - 2*x +