8. Let q = 144 + -98. What is the remainder when q is divided by p(-10)?
10
Suppose 0*f - 6 = -3*f. Suppose -37 + 11 = -2*q - 2*l, -f*l - 16 = -q. Let j = -3 - -8. What is the remainder when q is divided by j?
4
Let c be 1*(-1)/(1/(-3)). Suppose c*g = -0*g + 75. Suppose -4*p + 54 = 3*t, -2*t + g = -2*p + p. Calculate the remainder when 40 is divided by t.
12
Let j(y) = -y**3 + 7*y**2 + 9*y - 3. Let p be j(8). Suppose 4*a + 234 = p*a. Calculate the remainder when 50 is divided by a/14 + (-2)/(-7).
16
Suppose 3*s - 10 = 11. Let w(q) = 6*q - 3 + 3*q**2 + 2 - 5*q. What is the remainder when s is divided by w(1)?
1
Suppose -a - y + 8 = 0, -29*y + 33*y = -2*a + 12. Let i = -5 - -9. Suppose -2*s = 5*f - 54, i*s = 3*s + f + 41. What is the remainder when s is divided by a?
7
Suppose -4*l = -o + 22, -o + 4*o - 50 = 4*l. Let q(s) = s**2 + 2*s - 8. Let a(i) = -2*i + 5. Let n be a(6). Calculate the remainder when q(n) is divided by o.
13
Suppose -2*m + 7*m = 80. Let a be 3*-2*(-55)/10. Suppose -2*p - 3*o - 3 = -59, -o = -p + a. What is the remainder when p is divided by m?
15
Let d = -22 + 56. Let x(a) = 7*a**2 - 2*a - 1. Let s be x(2). Suppose 49 = 4*b - s. What is the remainder when d is divided by b?
16
Suppose 0 = -3*z - z + 28. Calculate the remainder when 40 is divided by z.
5
Suppose 5*b = 48 - 13. Suppose -5*a - 2*z = -a - 154, -2*a + 4*z = -102. Calculate the remainder when a is divided by b.
6
Let o(l) = -l**3 + 5*l**2 + 9*l - 2. Let w be o(6). Let r = w + -8. What is the remainder when 23 is divided by r?
7
Suppose f - 3*k + 7 = 0, -2*f - 11 + 1 = -5*k. Suppose -2*j + f = -51. Suppose -5*p + j = -p. Calculate the remainder when 13 is divided by p.
6
Let t = 7 - 2. What is the remainder when ((-6)/8)/(2/(-168)) is divided by 79/t + 2/10?
15
Let y(k) = k - 1. Let w be y(9). Let f = w - 3. What is the remainder when 8 is divided by f?
3
Let y be (-4)/20 - (-32)/10. Suppose -3*l - 13 = -g - 6*l, 2*g + y*l - 20 = 0. Calculate the remainder when 1 + (-2)/2 + 13 is divided by g.
6
Suppose 3*t + 4*n - 53 = 0, 1 + 1 = n. Calculate the remainder when t is divided by 9.
6
Let l = -45 + 67. Let o = l - 8. What is the remainder when o is divided by 8?
6
Let w(c) = 11*c - 34. Suppose 0 = -5*s + 25, 5*s = -0*p + p + 10. What is the remainder when w(7) is divided by p?
13
Let s(c) = c**3 - 7*c**2 + 7. Let z be s(7). Let y = -10 + z. Let o(n) = -2*n + 1. Calculate the remainder when 20 is divided by o(y).
6
Suppose -2*n + 4*a = -a + 24, -22 = 5*n - 3*a. Calculate the remainder when (-8)/12*111/n is divided by 13.
11
Let f(z) = z. Let t be f(3). Let g(y) = 3*y**2 - 5*y + 4. Calculate the remainder when 30 is divided by g(t).
14
Let b(d) = 3*d - 2. What is the remainder when b(6) is divided by 5?
1
Suppose -115 + 23 = -4*t + 2*a, -5*a - 92 = -4*t. What is the remainder when 40 is divided by t?
17
Let p = -223 + 158. Calculate the remainder when 2/(-2 - p/32) is divided by 22.
20
Let i(h) = h**3 + h**2 - 3*h - 9. What is the remainder when i(5) is divided by 32?
30
Let h(l) = 3*l**2 + l - 4. Let i be h(-3). Suppose -2*v - i = -7*v. Calculate the remainder when 6 is divided by v.
2
Suppose -s + 2*i - 3 = -18, -5*s + 2*i + 51 = 0. Let u be (-16)/(-12)*s/(-2). Let r = -3 - u. What is the remainder when 6 is divided by r?
0
Suppose -2*v = -5*v + 66. Let l = v + -19. What is the remainder when 7 is divided by l?
1
Suppose 0 = z - n - 135, -2*n - 181 + 44 = -z. Calculate the remainder when z is divided by 27.
25
Let o = -2 + -6. Let x = o - -10. What is the remainder when x is divided by 1?
0
Suppose 0 = w + 4, -t + 3*w = -2*w - 25. Suppose 0 = -t*v + 5*u - u + 58, 0 = -u - 2. What is the remainder when 19 is divided by v?
9
Let g = -40 + 80. Calculate the remainder when g is divided by 1 - -1*(9 + 4).
12
Suppose 0 = -5*k - 0*k + 115. Suppose -4*r = 3*t + 55, 0*r + 66 = -5*r - t. Let s = r + 25. Calculate the remainder when k is divided by s.
11
Let b = -6 + 13. What is the remainder when 33 is divided by b?
5
Let w be (-6)/(-21) + (-131)/(-7). Let b(i) = -2*i + 4. Let l be b(6). Let s = w + l. Calculate the remainder when 32 is divided by s.
10
Let r = 150 + -87. Let a be (-42)/(-3) + (1 - 1). Suppose -h = -2*v + v + a, 5*v = -3*h + 86. Calculate the remainder when r is divided by v.
15
Suppose 6*s + 20 = 50. Suppose 5*i - 25 - 20 = 0. What is the remainder when i is divided by s?
4
Suppose 0 = -r, -r + 12 = -0*z + 2*z. Suppose 0 = -4*a - 5*s - 30, 2*s = 2*a + z + 18. What is the remainder when 2/5 - 366/a is divided by 19?
18
Let j be (3/2)/((-9)/(-24)). Suppose t + 6 = j*t. Suppose 4*g - 1 = 3*d - 11, 10 = 4*d - t*g. Calculate the remainder when 2 is divided by d.
0
Suppose -2*i = 3*i - 250. Suppose 0*k = 5*k - i. Calculate the remainder when 39 is divided by k.
9
Let m(u) = 49*u**3 - u**2. What is the remainder when m(1) is divided by 25?
23
Calculate the remainder when (0 + -26)/(2/(-3)) is divided by 72/(-540) + (-2 - 484/(-30)).
11
Suppose 0 = 2*s + 4*a - 16, 5*a - 20 = -s + 2*s. Suppose s - 7 = -n. Calculate the remainder when 26 is divided by n.
5
Let w = 44 - 25. Calculate the remainder when 54 is divided by w.
16
Let c(o) be the third derivative of o**5/60 - o**4/24 + o**3/2 - o**2. Calculate the remainder when (1 + -3)*(-1 - 13) is divided by c(-3).
13
Let w = 9 + -7. Suppose -54 - 52 = -w*x. What is the remainder when x is divided by 18?
17
What is the remainder when (1 - -85) + (14 - 13) is divided by 22?
21
Suppose -c = 4*c + 215. Let v = -118 - -87. Let q = v - c. What is the remainder when 47 is divided by q?
11
Suppose 2*g = u + 113, 183 = 7*g - 4*g + 3*u. Calculate the remainder when g is divided by 2/10 + 5/((-125)/(-370)).
13
Let x = -161 - -101. What is the remainder when 23 is divided by ((-12)/(-10))/((-9)/x)?
7
Let b(f) = 2*f + 10. Calculate the remainder when 19 is divided by b(0).
9
Suppose -4 = -3*c + 5. Calculate the remainder when c*-1 - 1920/(-16) is divided by 30.
27
Suppose 5*s + 3*h = 359 + 115, -s + 4*h = -81. Calculate the remainder when s is divided by 19.
17
What is the remainder when 3/(-12)*22*-14 is divided by 25?
2
Let b(r) = -r**2 + 15*r - 9. Let n be b(12). Suppose -w + n = x + w, -5*x - 5*w = -140. Calculate the remainder when x is divided by -4 + 2 - (-13 - -1).
9
Let p = 167 + -108. Calculate the remainder when p is divided by 20.
19
Let t(y) = -23*y**3 - 2*y - 1. Suppose 2*u = -4*k + 14, -3*k = 2*u - 8*k + 22. What is the remainder when t(u) is divided by 13?
11
Let a be (8/10)/((-2)/(-10)). Suppose -2*i - 100 = -7*i. Calculate the remainder when i is divided by 10 + -2*(-2)/a.
9
Let j = -2 - -6. Suppose 4*f - 7 + 23 = j*n, -n = 3*f. Let r = 2 + f. Calculate the remainder when 2 is divided by r.
0
Let i = 34 + -13. Suppose k = r + 8, 5*r + 7 + 17 = 3*k. What is the remainder when i is divided by k?
5
Let l(o) = 5*o - 3. Let r(t) = -t**2 - 5*t + 4. Let i be r(-5). What is the remainder when l(i) is divided by 6?
5
Let w(p) = -2*p**3 - 2*p**2 + 3*p - 3. Let n be w(3). Let v = 115 + n. Let x = -24 + 41. Calculate the remainder when v is divided by x.
15
Suppose 8*a = 5*x + 3*a - 170, 2*a = 5*x - 173. Let h(t) = t**2 - 4*t - 9. Calculate the remainder when x is divided by h(7).
11
Let t = -231 + 238. Suppose 2*h - 7*h = v - 34, -2*h - 2*v + 20 = 0. Calculate the remainder when t is divided by h.
1
Suppose -5*n + 94 = -v, n + 0*n - 6 = -3*v. Calculate the remainder when (n/(-12))/(2/(-56)) is divided by 15.
12
Suppose -4*b - 6 = 3*f - b, 0 = -4*f - b + 7. Let a(t) be the second derivative of -t**3/6 - t. What is the remainder when f is divided by a(-2)?
1
Let q = 41 - 23. Calculate the remainder when 48 is divided by q.
12
Let q(h) = 3*h + 4. Let k be q(-4). Let i(y) = -y**2 - 8*y + 11. Let a = -32 + 63. What is the remainder when a is divided by i(k)?
9
Let w(q) = -q**2 + 10*q - 8. Let t be w(9). Let j = 9 + t. Calculate the remainder when 27 is divided by j.
7
Suppose -3*b = -b + 4*w - 170, -182 = -2*b - w. What is the remainder when b is divided by 24?
21
Let m = -46 + 134. What is the remainder when m is divided by 30?
28
Let g be 2 - ((-1)/1 - 1). Suppose -2*x + g + 14 = 0. Suppose -3*n + n = a - 30, 2*a - 58 = -3*n. What is the remainder when a is divided by x?
8
Let d be 4 + -2 + -1 + -1. Let y be 0*4/(-8) + 5. Supp