l(8).
1
Suppose -142 = -5*y - 32. Let b(j) = -j**3 + 24*j**2 - 45*j + 24. Let t be b(y). Suppose -t*i - 12*i + 392 = 0. What is the remainder when i is divided by 10?
8
Suppose -157*f = 103*f - 54080. What is the remainder when 13724 is divided by f?
204
Let m(v) = -17*v**3 + 2*v - 1. Let w(i) = -i**3 - 9*i**2 + 109*i - 46. What is the remainder when m(-2) is divided by w(-16)?
1
Let b = 9479 + -9444. Suppose -5*j + 481 = -514. Suppose 2*a = j - b. Calculate the remainder when a is divided by 12.
10
Let o(k) = 0*k**2 + 23 + k**2 - 4*k + 10*k - 32*k. Let y = -5 - -69. What is the remainder when y is divided by o(26)?
18
Let o(n) = 127*n - 3. Let j be o(0). Let g(p) = p**3 - 2 - 1 - 5*p + 0 + 3*p**2. What is the remainder when 22 is divided by g(j)?
10
Let t(f) = 27*f**3 - 6*f**2 + 9*f - 5. Suppose -5*c + 14 = 4. Let x be t(c). Let k = -123 + x. Calculate the remainder when k is divided by 17.
14
Let i(l) = 17*l - 150. Let w(o) = 3*o - 30. Let a(m) = 2*i(m) - 11*w(m). Calculate the remainder when a(-9) is divided by 8.
5
Suppose -4*f + 3 = -1, -3*y + 6 = -3*f. Suppose 2*j + 15 = l, 4*l - y*j + j = 36. Calculate the remainder when 7 is divided by l/((-14)/(-4)) + 0 + 3.
2
Let w(k) = 19*k**2 - 41*k + 181. What is the remainder when 662 is divided by w(4)?
20
Calculate the remainder when 466 is divided by (-402)/66 - (-1)/11 - -14.
2
Let o be ((0/(-1))/(-4))/(-1). Suppose -5*g + 0*g - 5*s = -430, -2*g + 2*s + 160 = o. Suppose -9*l + g = -250. Calculate the remainder when 110 is divided by l.
36
Suppose -t + 14 - 21 = -4*n, 6 = n + 4*t. Suppose -3*u + 146 = 3*f - 2*f, -n*f = 3*u - 151. Calculate the remainder when 234 is divided by u.
46
Calculate the remainder when 912 is divided by (96 - 92)*(-4 - (-202)/8).
62
Let d(k) = -9*k**2 + 18 - 14*k + 2*k + 22*k**2 - 14*k**2. Let w be d(-12). Let o = -16 + w. Calculate the remainder when 9 is divided by o.
1
Let y be 240/45 - 3*3/27. Calculate the remainder when (2/(-3))/(10/(-705)) is divided by (8/(-10))/(4/(-10)) + y.
5
Let w(f) = -f**2 + 43*f - 294. Let v(d) = d**3 + 3*d**2 - 3*d + 3. Let u be v(-4). Calculate the remainder when w(32) is divided by 15*u*(0 - 1).
13
Let j = 91 - 54. Suppose -38*m + 5493 = 933. Calculate the remainder when m is divided by j.
9
Let c be (-13)/3 - 3/(-9). Let p(x) be the third derivative of x**5/15 - x**4/24 - 2*x**3 - 4*x**2 + x. What is the remainder when p(c) is divided by 16?
8
Let j = -10096 + 15327. What is the remainder when j is divided by 22?
17
Let a = 223 + -125. Let r be ((-1710)/(-4))/((-5)/200*15). What is the remainder when a is divided by r/(-35) + 2 - (-16)/(-28)?
30
Let i = 318 + -263. What is the remainder when ((-52)/364)/(2/(-1526)) is divided by i?
54
Let s be (-713)/(-1) + ((-3)/3 - -4). Let j = s + -672. What is the remainder when 124 is divided by j?
36
Let j(g) = -96*g. Let f(s) = -s**2 - 18*s + 274. What is the remainder when j(-1) is divided by f(9)?
3
Let b be 4/12*3*(2 + 5). Let g(l) = 4*l - 21. Let q(v) = -3*v + 21. Let p(s) = b*g(s) + 6*q(s). Calculate the remainder when p(5) is divided by 8.
5
Suppose 3*s = -4*b + 544, -6*b - 753 = -5*s + 103. What is the remainder when s is divided by 26?
20
Let h(n) = -n**2 - 142*n + 2205. What is the remainder when (-6332)/(-16) + 1/4 is divided by h(-156)?
18
Suppose 3*x = -3*x - 24. What is the remainder when (-9)/15*(-36 + 1) is divided by 7 + x/(3 + -4)?
10
Let n = 67 - 65. Suppose 3*s - 3*a - 15 - 18 = 0, n = -a. Calculate the remainder when 44 is divided by s.
8
Let y(w) = w**2 + w - 3. Let m = -156914 + 157537. Calculate the remainder when m is divided by y(6).
38
Let l = -58 + 100. Suppose o + 70 = 8*j - 4*j, -2*j = -4*o - l. Calculate the remainder when 40 is divided by j.
6
Suppose -a + 3*d + 10 = 0, -a - 15*d = -20*d - 4. What is the remainder when 284 is divided by a?
18
Let q = 18857 + -18669. Calculate the remainder when q is divided by 11.
1
Suppose -84 = -g + 161. Suppose 0 = 4*y - 0*y - 164. What is the remainder when (g*2)/(8/4) is divided by y?
40
What is the remainder when 2362 is divided by (473/2)/(-11)*-2?
40
Let q = -2425 - -2566. What is the remainder when q is divided by 8?
5
Let u(q) = q**2 + 9*q - 877. What is the remainder when 8313 is divided by u(-35)?
30
Suppose 5600 = 4*i + g, 5*i + 4*g = g + 6993. What is the remainder when i is divided by 467?
0
Let p(q) = 2*q**3 + q + 2. Calculate the remainder when p(2) is divided by (-2 - 7)*((-68)/(-153) - (-12)/(-18)).
0
Suppose -38*d - 21*d + 36052 = 6847. What is the remainder when d is divided by 103?
83
Let z = -174 - -179. Suppose -3*t = 6, -9*t + 5*t = -z*a + 63. Calculate the remainder when 71 is divided by a.
5
Let m(v) = 4*v**2 - 15*v - 3. Let i be m(4). Let y be i/((-1)/(-8)) + 0/3. Suppose -2*a - 132 = -y*a. What is the remainder when a is divided by 10?
2
Suppose w + d = 2*w - 4, -3*w = 2*d - 12. Suppose p + 29 = 2*q, p - 25 = -w*p. Let t = 125 - 42. What is the remainder when t is divided by q?
15
Let t(y) = 14*y - 38. Let g be (-8)/14 + 768/168. What is the remainder when (-2)/3 + 2208/18 is divided by t(g)?
14
Let t(v) = -3*v + 50. Let u be 9/(-2)*(-2)/3. Suppose 0 = q - p - 9, 2*p + 23 = 3*q + u*p. What is the remainder when q is divided by t(15)?
3
Suppose -q - 5*k - 30 = 0, 5*q + 2*k - 20 + 55 = 0. Let d be -1*q/((-20)/(-96)). Suppose -d = -9*b + 8*b. What is the remainder when 66 is divided by b?
18
Let j be (10/3 + 0)*(-9)/6. Suppose 0 = -3*v - 3, 2*r + 2*v = r + 37. What is the remainder when -3 - (5/j - 116) is divided by r?
36
What is the remainder when 2806 is divided by 6/20*(-18 - -20) - (-517)/5?
102
Let n(p) = 114*p**2 + p. Let m be ((-20)/6)/((-20)/12). Suppose -5*c = m*w - 44 - 52, -5*c + 210 = 5*w. Calculate the remainder when n(-1) is divided by w.
37
Suppose -276*w + 662 = -5134. What is the remainder when 4574 is divided by w?
17
Let s be (-32)/(-80) + (-246)/(-10). Suppose 2*b + 18 = 56*z - 52*z, 5*z - 5*b - s = 0. Calculate the remainder when (-4)/6 - (-159)/9 is divided by z.
1
Let s(o) = 13*o + 52. Let h be s(-4). Suppose -q + 5*p + 143 = h, 22*q = 19*q - p + 477. Calculate the remainder when q is divided by 41.
35
Suppose -909 = -17*k - 370 + 4544. What is the remainder when 875 is divided by k?
277
Let q(a) = 2*a + 1. Let w = -7317 - -7321. What is the remainder when q(2) is divided by w?
1
Let v be (-3)/(-9)*(-2)/(-12)*0. Suppose -2*a = 3*x + 2 - v, 0 = -a - 5*x - 8. Suppose -2*l - 2*l = -12. Calculate the remainder when l is divided by a.
1
Suppose 3*x - 3*n - 5412 = 0, -x - 238 + 2048 = 5*n. What is the remainder when x is divided by 39?
11
Let g = -132 - -205. Let r(u) = -u**3 + 14*u**2 - 6*u + 20. Calculate the remainder when r(4) is divided by g.
10
Let w(l) = l**3 + 12*l**2 + 30*l + 6. Let k be w(-9). Let g = k - -30. Suppose -f + 2 = -3*a - g, 4*a = 4. What is the remainder when 40 is divided by f?
12
Let d = 140 + -134. Suppose 0*u + 3*u = -9. Let n = u - -13. What is the remainder when n is divided by d?
4
Let d = 452 + -196. Suppose 0 = -2*l + 5*f + d, -2*f + 698 = 2*l + 3*l. Suppose 23 = -5*h + l. Calculate the remainder when h is divided by 7.
2
Let x(p) = -356*p + 2879. What is the remainder when 126 is divided by x(8)?
2
Suppose 706 - 264 = 34*o. Suppose 1099 = 4*n + 379. Calculate the remainder when n is divided by o.
11
Suppose 0 = -5*l + g + 7, 9 = -5*g - 1. Suppose -4*z = -5*z + 83. Calculate the remainder when z is divided by ((-15)/60)/(l/(-68)).
15
Let d = -39 - -44. Suppose d*u - 639 - 616 = 0. Suppose 0 = -4*f + 269 + u. Calculate the remainder when f is divided by 22.
20
Calculate the remainder when ((-524)/14 + 0)/(177/(-2478)) is divided by 49.
34
Suppose -5*o - d + 455 = 0, -65*d + 70*d = 2*o - 209. Calculate the remainder when 290 is divided by o.
14
Suppose 4*o = 175 + 97. Calculate the remainder when o is divided by -19 - 8734/(-462) - (-382)/42.
5
Calculate the remainder when 4*(1 + (-44)/40)*-3665 is divided by 49.
45
Suppose -429*a + 466*a = 25345. What is the remainder when a is divided by 16?
13
Let f = 242 - 179. Let z(w) = -w**2 - w + 3. Let p be z(0). Suppose 0 = 2*m - 10, -p*l - 2*m - m = -48. What is the remainder when f is divided by l?
8
Let h(x) = 219*x - 2433. What is the remainder when h(18) is divided by 499?
12
Let o(g) = 16*g + 36. Let v 