te the remainder when i(u) is divided by 8.
6
Let s(b) = -b**3 + b. Let a be s(-2). Suppose -m + a = -0*m. Calculate the remainder when 15 is divided by (-168)/(-27) + m/(-27).
3
Let u = -743 + 747. Calculate the remainder when 68 is divided by u.
0
Let d(g) = -g**3 + 10*g**2 + 2*g - 18. Let m be d(10). Suppose -p - 9 = -b - 0*b, m*p = 6. Calculate the remainder when 35 is divided by b.
11
Suppose 4*a - 61 = -4*d + 615, a - 164 = -2*d. Suppose 0 = 21*f - 17*f - 140. Calculate the remainder when a is divided by f.
34
What is the remainder when (-1)/(-3) - (-30030)/63 is divided by 48?
45
Let w be (24/(-20))/(12/(-40)). Suppose 2*m - 8 = -w. Let d(p) = p**2 - p + 2. What is the remainder when d(0) is divided by m?
0
What is the remainder when 220 is divided by 6/(-8)*(7 + -21 + -46)?
40
Suppose -185*d + 2724 = -182*d. Calculate the remainder when d is divided by 83.
78
Let w(k) = 17*k + 5. Let a be w(-2). Let u = a + 3. Let p = u - -97. What is the remainder when p is divided by 18?
17
Suppose 2*c = -5*x + 12 - 4, -2*x + 12 = 3*c. Calculate the remainder when 198 is divided by c.
2
Let h be ((-6)/4)/((-2)/60). Suppose z - h = -4*z. Suppose 0 = g + 2*b - 10, 2*g + b + 51 = 5*g. Calculate the remainder when g is divided by z.
7
Let l = 1 + -3. Suppose r - x - 35 = -5*x, 5*r + 2*x - 175 = 0. What is the remainder when (l + (-39)/(-15))*r is divided by 8?
5
Suppose 8*y + 2*y = -780. Let n = 185 + y. Calculate the remainder when n is divided by 23.
15
Suppose 3*q = -k + 34, 260 = 5*k + 8*q - 11*q. Suppose -4 = -4*s + 48. Calculate the remainder when k is divided by s.
10
Let z(h) = 5*h - 88. What is the remainder when 46 is divided by z(20)?
10
Suppose 35 = a - 37. Suppose 4*b = -12, s + 4*b - 22 = 9*b. Suppose 10 = w + p, w + 4*p - 2 = -s. What is the remainder when a is divided by w?
12
Let u be 4/1*1/((-16)/(-44)). Suppose 7*r = u*r - 40. Calculate the remainder when 35 is divided by r.
5
Let v = 83 + -61. Let a = 18 + v. Suppose 5*k - 42 = 2*k. Calculate the remainder when a is divided by k.
12
Let z = -20 - -97. Let g(r) = 13*r - 3. What is the remainder when g(6) is divided by (-568)/(-22) - (-14)/z?
23
Suppose -5*w + 128 = x - 4*w, 0 = 3*w + 6. Let h = x + -121. Let p(f) = -f**3 + 8*f**2 - 5*f + 3. Calculate the remainder when p(3) is divided by h.
6
Suppose -2*k + 820 = 3*m, 5*k + 1101 = 37*m - 33*m. What is the remainder when m is divided by 69?
67
Let v = 374 + -117. Calculate the remainder when v is divided by 3.
2
Let r(o) = -o**3 + o**2 + o - 2. Suppose -3*v = 4*m - 37, 4*m - 9 = 7. Calculate the remainder when r(-3) is divided by v.
3
Let a = -1364 - -1584. What is the remainder when a is divided by 73?
1
Suppose -12 = -69*n + 65*n, -5*n = 2*q - 3813. What is the remainder when q is divided by 19?
18
Suppose 43*t - 61*t = -1656. What is the remainder when 220 is divided by t?
36
Suppose c = -4*c + 15. Suppose c*a = 2*a + 24. Suppose 2*d - 5*i + a = 5*d, -2*i = 5*d - 40. Calculate the remainder when 15 is divided by d.
7
Let m = 125 - 102. Let q = 125 - 35. Calculate the remainder when q is divided by m.
21
Suppose -74 = -2*a - w, -3*w = -3*a - 2*w + 106. Suppose -5*y - 2 = -22. Calculate the remainder when 61 is divided by (y/3)/(3/a).
13
Let j(o) = -o**2 - 8*o + 4. Let n be j(-8). Suppose -4*p = d - p - 91, n*d - 380 = 4*p. Suppose -d = -3*b + 29. What is the remainder when b is divided by 11?
8
Let h(x) = x**3 + 7*x**2 + 6*x. Let d be h(-6). Suppose d = 2*y - 4*y + 42. Let z = 41 - -19. What is the remainder when z is divided by y?
18
Suppose -u = 2*k, 16 = 2*u - 4*k - 24. Suppose 5*t = t. Suppose 0 = -4*h + 2*i + 28 + 120, 2*h - 5*i - 58 = t. What is the remainder when h is divided by u?
9
Let j be (-4)/(-6) + 80/24. Suppose j*a - a - 204 = 0. Suppose g = 3 + a. Calculate the remainder when g is divided by 12.
11
Let s(v) = v**2 + v. Let k = 15 + -9. Let u be s(k). Suppose 2*l = u + 52. Calculate the remainder when l is divided by 24.
23
Let w = -167 + 324. What is the remainder when w is divided by 27?
22
Let i = 32 + -23. Let o = -6 - -8. Calculate the remainder when i/4 + (-6)/24 is divided by o.
0
Let p(f) = f**2 - 8*f - 3. Let g(m) = 7*m + 23. What is the remainder when g(-2) is divided by p(9)?
3
Suppose -21*v + 364 = -224. What is the remainder when 68 is divided by v?
12
Let g(w) = 2*w**2 - w + 3. Let u = -112 + 210. Suppose 2*t = -2*i + u, 4*t - 242 + 0 = -5*i. What is the remainder when i is divided by g(-3)?
22
Suppose 4*i + 0*i = 3*v - 19, 5*i + 21 = v. Suppose -2*o + 6*o = -z - v, -z = -o - 19. What is the remainder when z is divided by (-46)/(-6) - 2/(-6)?
7
Suppose v = -4*m + 5*v + 2100, 0 = 4*m + 5*v - 2082. Suppose -c - w + 105 = 0, 0 = 5*c + 6*w - 2*w - m. What is the remainder when c is divided by 26?
25
Let o = 155 - 140. What is the remainder when 207 is divided by o?
12
What is the remainder when (304/(-12) - 6)/(6/(-9)) is divided by 18?
11
Let i(k) = 19*k**2 + 6*k + 1. Let n be i(-3). Let q = n - 90. Calculate the remainder when q is divided by 33.
31
Suppose -4*m = f - 9, 0*m = 5*m + 3*f - 20. Let h = m + 3. Calculate the remainder when 8 is divided by 3/(-5)*(h - 9).
2
Suppose 0 = 5*s - 2*d - 155, -2*s + 5*d = -4*s + 33. Suppose -3*g + 5*b = -229, -4*b = -g + 93 - 26. Calculate the remainder when g is divided by s.
25
Let l(x) = 11*x - 40. Calculate the remainder when 1866/18 - (-2)/(-3) is divided by l(5).
13
Let i(f) = -48*f - 58. Suppose -5*q + 0 + 10 = 0. Calculate the remainder when i(-2) is divided by (2/4)/(q/52).
12
Let f(l) be the third derivative of -121*l**6/120 - l**5/60 + l**4/24 + l**3/6 + 5*l**2. What is the remainder when f(-1) is divided by 41?
38
Suppose -h + 38 = v, 0*h - 161 = -4*h - v. Let k = 13 + -11. Suppose -2*g + 45 = -d, -52 + 6 = -k*g + 2*d. What is the remainder when h is divided by g?
19
Suppose -10 = -5*f + 3*f. Let s = -427 + 432. Calculate the remainder when s is divided by f.
0
Suppose l - 2*l + 5*s = 4, 0 = 4*s - 8. Let y be -1 - l/(-9)*3. Let f = 9 - y. Calculate the remainder when f is divided by 3.
2
Suppose 2*r + 0*r - 6 = 0. Suppose 0 = -5*k - 4*q + 3*q - 3, -5*k + q = -r. Suppose -2*f + 7 + 17 = k. Calculate the remainder when 46 is divided by f.
10
Let h be 1 + 2 - (-18 - -21). Suppose 88 = 3*x + 5*s, -s - 50 = -2*x - h*s. Calculate the remainder when 74 is divided by x.
22
Suppose s = 0, -4*j - 5*s + 103 = 7. Suppose -4*f + 80 = -36. Let p = f - 20. What is the remainder when j is divided by p?
6
Suppose 5*y + 2*q - 6*q - 369 = 0, y + q - 72 = 0. Calculate the remainder when y is divided by 41.
32
Suppose 0 = 18*d - 233 - 55. Calculate the remainder when 56 is divided by d.
8
Suppose 1241 = 70*y - 1629. What is the remainder when 86 is divided by y?
4
Suppose 0*q = 2*v + 3*q - 104, 6 = 3*q. Suppose 5*k - 54 = 2*k. Calculate the remainder when v is divided by k.
13
Let q(c) = -2*c**3 + 18*c**2 + 4*c - 24. What is the remainder when 271 is divided by q(9)?
7
Let i(z) = z**2 - 21*z + 74. Calculate the remainder when 53 is divided by i(18).
13
Suppose -151*u + 149*u + 88 = 0. Calculate the remainder when u is divided by 5*(-16)/15*-3.
12
Let q(w) = 14*w**2 - 4*w. Let j be q(2). Let a = 89 - j. Suppose -2*s + 19 = -a. What is the remainder when s is divided by 8?
6
Suppose -4*r + 137 = 5*v, -r + 0*v + 35 = v. Suppose 10 = -5*s, 0 = 3*a + s + r - 0. Let o = 15 - a. What is the remainder when o is divided by 10?
7
Suppose -5*s + 97 = 2*y, -149 = -6*y + 3*y - 4*s. Calculate the remainder when y is divided by 11.
7
Suppose -4*g + 121 = -d, 0 = 2*g - 2*d - d - 73. What is the remainder when 84 is divided by g?
26
Let h(d) = -d**3 + 4*d**2 - 2*d + 1. Let z be h(3). Suppose z*f - 141 = f. Let n(q) = q + 7. What is the remainder when f is divided by n(3)?
7
Let l = 169 + -132. Calculate the remainder when l is divided by 10.
7
Let o = 0 + 19. Let r = -12 + o. Calculate the remainder when 12 is divided by r.
5
Let q = -28 + 28. Suppose q = n + v - 9, -3*n - v + 6 = -17. Calculate the remainder when 25 is divided by n.
4
Let p(i) = -i**3 - 4*i**2 - 7*i - 5. Let q be p(-4). Suppose m - q - 1 = 0. Let w(d) = 2*d**2 - 3*d - 11. What is the remainder when w(8) is divided by m?
21
Let l = 0 + 0. Let v(w) = w**2 - 1. Let g be v(l). What is the remainder when 1 is divided by (-10)/(