is divided by 8.
7
Let w(s) = -s**3 - 4*s**2 - 6*s - 3. Let m be w(-5). Suppose -7*q - m = -11*q. Let h = 25 - q. What is the remainder when 18 is divided by h?
6
Suppose a + 16*a - 1394 = 0. Suppose -110 = -2*d - 2*c - 28, 2 = -2*c. What is the remainder when a is divided by d?
40
Suppose 4*h - 60 = h. Let l be 6*-2*5/h. Let v(q) = -5*q + 2. What is the remainder when v(l) is divided by 11?
6
Let k be 5 + 22/(-77) + 19/(-7). Suppose 0 = -5*a + k*o + 89, 0 = -3*a + o - 5*o + 69. Calculate the remainder when 88 is divided by a.
12
Let n(k) = k**3 - 12*k**2 - 11*k + 12. Let q be n(13). Suppose q*i - 53 = 37*i. What is the remainder when 93 is divided by i?
40
Let l(x) = -x**2 - 3*x - 4 + 142*x**3 - 372*x**3 + 3. Let m be l(-1). Let f = 323 - m. Calculate the remainder when f is divided by 19.
16
Let y be (-3 - -3 - 0) + 89. Let s = -75 + y. What is the remainder when s is divided by 5?
4
Let u = 17 - 46. Let c = u + 40. Suppose 94 = 4*r + 78. What is the remainder when c is divided by r?
3
Suppose 554*b + 1398 = 558*b + 2*c, -4*b + 1433 = -5*c. What is the remainder when b is divided by 18?
10
Let j(z) be the second derivative of 11*z**3/6 + 73*z**2/2 - 82*z. Suppose -a + k = -15, 0*k - 15 = 3*k. What is the remainder when j(-5) is divided by a?
8
Let r be (0*(9/6 - 1))/1. Calculate the remainder when (-6 - r)/(1/(39/(-6))) is divided by 23.
16
Suppose 0 = 20*q - 17*q - 5*i - 209, -177 = -3*q - 3*i. What is the remainder when 389 is divided by q?
11
Let g(y) = 2*y**3 + 9 - 12816*y**2 - y + 12827*y**2 - y**3. Calculate the remainder when g(-11) is divided by 4.
0
Let r = -16513 + 17409. Calculate the remainder when r is divided by 224.
0
Calculate the remainder when ((-547)/(-4))/((-11)/(-88)) is divided by 61.
57
Let d be 10/50*1*-5. Let f(s) = 12*s - 2. Let b be f(d). Let m = b + 27. Calculate the remainder when m is divided by 4.
1
Let c = -869 + 1228. Let a = -333 + c. What is the remainder when 49 is divided by a?
23
Suppose 0 = -15*o + 14*o + 125. What is the remainder when o is divided by ((-2)/7 + 44/56)*42?
20
Let f = -8836 + 9020. Calculate the remainder when 7357 is divided by f.
181
Let i(x) = -12*x**2 - 143*x + 835. Let w(l) = l + 201. What is the remainder when w(0) is divided by i(-16)?
48
Suppose -2*z + 3*c = -6, 4*z - 2*c = -0*z + 12. Let d(y) = -y**3 + 5*y**2 - y - 1. What is the remainder when 16 is divided by d(z)?
2
Suppose 464*r - 2334658 = -1433517 + 1975195. What is the remainder when r is divided by 50?
49
What is the remainder when ((11 - 43/4) + -1)/(2/(-2152)) is divided by 262?
21
Calculate the remainder when 658/42 - 15 - 1412/(-6) is divided by 126.
110
Suppose g + 4000 = 4*u, 1000 = -7*u + 8*u + 3*g. Suppose -35*a = -610 - u. What is the remainder when a is divided by 16?
14
Let b(n) = 28*n - 7 + 2 + 1 - 10. Calculate the remainder when 124 is divided by b(2).
40
Let i = -52 + 113. Suppose 2*w - 5*n = -n + 4, 0 = 2*w + 3*n - 4. Calculate the remainder when i is divided by 16 + ((-10)/(-5) - w).
13
Suppose -2*n - 113 = -c - 318, -5*c = n - 108. What is the remainder when 340 is divided by n?
31
What is the remainder when 2/(-16) - 16/(2176/(-36873)) is divided by 68?
67
Let g(j) = 6*j**2 - 1. Let d = -870 + 890. Suppose 7*a - 162 = -d*a. What is the remainder when g(-2) is divided by a?
5
Let d = -133 + 277. Suppose -7*u + d + 171 = 0. Calculate the remainder when u is divided by 13.
6
Let j(a) = 5*a - 32. Let p be j(6). What is the remainder when 343 is divided by (2 - (-3 + 48))*p?
85
Let n(j) = -3*j**2 + 228*j + 192. Calculate the remainder when 442 is divided by n(75).
25
Let f = -1934 + 1941. Calculate the remainder when 562 is divided by f.
2
Suppose 4403 - 839 = -9*y. What is the remainder when -4 + 2 + y/(-4) is divided by 34?
29
Let f(o) = 3*o**3 - 15*o**2 + 46*o - 165. Calculate the remainder when f(14) is divided by 37.
36
Suppose 3*v - 85 = -2*v. Suppose 72 = -16*n + v*n. Suppose -3*o = 5*o - n. What is the remainder when 35 is divided by o?
8
Suppose -102 = -2*h + a, -1145*a = h - 1142*a - 65. Calculate the remainder when 359 is divided by h.
41
Suppose 14985 = 19*s - 21609. Let t = s + -1100. What is the remainder when t is divided by 23?
21
Let d(h) = -2*h - 23. Let y be d(-13). Suppose 2*x - y*x = -3*g - 52, -5 = g. Let k = -38 - -146. What is the remainder when k is divided by x?
34
Suppose -2*m - a - 202 + 527 = 0, -323 = -2*m - 3*a. Let d = 378 - m. Let k(b) = -b**3 + 5*b**2 + b - 3. What is the remainder when d is divided by k(3)?
17
Suppose -40*d = 3*l - 39*d - 593, -987 = -5*l - 2*d. What is the remainder when l is divided by 68?
63
Suppose 6*j - 5*j + 2 = 0. Let g(z) = 2*z**3 - z**2 - 77*z + 17. What is the remainder when g(-6) is divided by (-2 - -5) + (j - -2)?
2
Suppose 0 = -2*b - 8, -3*h + 7933 = 18*b - 13*b. What is the remainder when h is divided by 51?
50
Suppose -14*l + 5*l + 38214 = 36864. Calculate the remainder when 475 is divided by l.
25
Suppose -3*v + 11*v + 10 - 338 = 0. What is the remainder when 812 is divided by v?
33
Let s(a) = a**2 - 47*a - 15. What is the remainder when 615 is divided by s(48)?
21
Let x(y) = 4*y - 106. Calculate the remainder when 1809 is divided by x(31).
9
Suppose 10*l = -13*l - 27*l + 8250. What is the remainder when 185 is divided by l?
20
Let z(s) = -3*s - 22. Suppose 0 = 5*m - 9 + 54. Let i be z(m). Suppose -2*q = -2, -i*p + 72 = 4*q - 102. What is the remainder when p is divided by 19?
15
Let j = -31 - -47. Let b(c) = 6*c**2 + 516*c + 56. Calculate the remainder when b(-86) is divided by j.
8
Let o(n) be the first derivative of -n**4/4 - 34*n**3/3 - 18*n**2 - 58*n - 177. What is the remainder when 245 is divided by o(-33)?
40
Let d(b) = 15*b**2 + 7*b - 9. Let j be d(3). Suppose -148*c + 18 = -j*c. What is the remainder when 68 is divided by c?
14
Let m(a) = 237*a + 7254. Calculate the remainder when 7916 is divided by m(-30).
140
Let n(j) = 2*j**2 - 137*j - 59. What is the remainder when 238 is divided by n(69)?
8
Let s = 30920 + -30873. What is the remainder when 8458 is divided by s?
45
Suppose -w - 203 + 491 = 0. Calculate the remainder when w is divided by 3770/50 + (-1)/(5/2).
63
Let h(l) be the first derivative of -5*l**2/2 + 7*l + 18. Let i be h(4). Let u = -5 - i. Calculate the remainder when 25 is divided by u.
1
Let t(u) = 2*u**2 + 14*u - 12. Let x be t(-8). Calculate the remainder when x/(1*7/231) is divided by 45.
42
Let m = 35 + -41. Let a be (-12)/(-5)*(m + 85/10). Suppose -1 = a*b - 7*b. Calculate the remainder when 1 is divided by b.
0
Let q = 68607 + -68203. Suppose 0 = -4*v - 4*g + 268, -v + 84 = 2*g + 18. Calculate the remainder when q is divided by v.
64
Suppose -l + 95 = -y, y = l + 4*y - 91. Let n(s) = -3*s**3 - 62*s**2 + 25*s + 109. Calculate the remainder when l is divided by n(-21).
19
Let a be (20 - 28)/(1/(-11)). Let i = a - 71. Suppose 217 = 5*v - 3*l + 72, 0 = -3*v - 5*l + 121. What is the remainder when v is divided by i?
15
Let y(o) = 2*o + 15 - o**3 + 3*o**3 + 6*o - 5 - 5*o**2 - 6*o. What is the remainder when 117 is divided by y(0)?
7
Suppose 10404 = 350*h - 248*h. What is the remainder when 9379 is divided by h?
97
Let u(p) = p + 6. Let k be u(-6). Suppose k = -4*j + 16 + 64. Suppose -57 + 1201 = 18*t - 260. What is the remainder when t is divided by j?
18
Let r(j) = -4*j + 236. Calculate the remainder when r(0) is divided by (-4 - 136/14)*7/(-2).
44
Let n be -1 + -1 + -1 + 4. Let q = n + 3. Calculate the remainder when ((-24)/18)/(2/(-6)) - -10 is divided by q.
2
Suppose 3*n = 23 + 34. Calculate the remainder when 33 + -1235*(-22)/110 is divided by n.
14
Suppose 2*s + 18 = -5*c + 40, -5*s + 36 = 3*c. Calculate the remainder when 90 is divided by s.
0
Suppose 3*f - 10 = -w + 6, 28 = 2*f + 5*w. Suppose f*m + 30 - 218 = 0. Calculate the remainder when 373 is divided by m.
44
Suppose 2*l - 84 = -4*t, 5*l - 66 = -3*t + 11. Let q = 222 - 218. Suppose p - 460 = -q*p. Calculate the remainder when p is divided by t.
16
Suppose -4*j = -c - 156, j + 2*c = 4*j - 112. Suppose -3472 + 47317 = 185*z. Calculate the remainder when z is divided by j.
37
Suppose -43*c + 38*c + 2*s = -37, 5*c - 36 = s. Calculate the remainder when 9342 is divided by c.
4
Suppose -103 = 25*g + 372. Calculate the remainder when 1024 is divided by 1