76
Let n be (-3)/6 - 168/(-16). Suppose 27 = -9*d + n*d. What is the remainder when 160 is divided by d?
25
Calculate the remainder when 4895 is divided by (80 - 36)*12/11.
47
Suppose 27*y - 31*y - 24 = 0, -3*a + 69 = -3*y. Calculate the remainder when 4262 is divided by a.
12
Let t = 6197 + -3685. Suppose -608 = -60*l + t. What is the remainder when 100 is divided by l?
48
Suppose -79*x + 864 = -61*x. Suppose x*g - 1551 = 37*g. What is the remainder when g is divided by 8?
5
What is the remainder when 1059 is divided by (3 - 7) + (5 - (-369)/(-18))*-14?
207
Suppose -2*s + 311*s - 9627 - 1806 = 0. Let b(t) = t**2 - 5*t - 5. Calculate the remainder when s is divided by b(6).
0
Let y(v) = 8*v**2 + 30*v - 81. What is the remainder when 403 is divided by y(3)?
79
Let s(o) = -o**3 + 28*o**2 - 18*o - 112. What is the remainder when 219 is divided by s(27)?
88
What is the remainder when (-1410)/(-22) + -1 + (-13)/((-1430)/(-10)) is divided by 4?
3
Let w(u) = 74*u**3 - u + 1. Suppose 0 = -14*m + 16 + 138. Calculate the remainder when w(1) is divided by m.
8
Suppose -4*c + 910 = 13*o - 12*o, 2*c - 460 = 2*o. Let i = c + -196. What is the remainder when 80 is divided by i?
16
Suppose 158 = 4*s - 98. Let a = -232 - -238. Suppose a*t - t - 2*c - 63 = 0, 4*t = c + 51. What is the remainder when s is divided by t?
12
Let s = -497 - -475. Let q = s - -258. Calculate the remainder when q is divided by 34.
32
Let i = 95 + 17. What is the remainder when i is divided by (16/(-12))/((-120)/2610)?
25
Suppose 3*q + 2218 + 3041 = 6*r, 4*q + 852 = r. What is the remainder when r is divided by 15?
10
Let r = -6 + 26. Suppose 5*b - 3*j = r, -2*j = b + b + 8. Suppose -14 = -2*d + 2*k, 2*d = 3*d + 3*k + b. Calculate the remainder when 15 is divided by d.
0
Suppose -10*w + 46*w - 1800 = 0. Suppose 2*z = 5*s - w, -5*z + 37 = -s + 2*s. Calculate the remainder when 93 is divided by s.
9
Suppose 0 = 3*y - 3 - 546. Suppose 15*c = -18 + y. What is the remainder when 106 is divided by c?
7
Suppose 1503 = 5*g + 9*v, 1087*v - 309 = -g + 1084*v. Suppose j - 69 = -11. Calculate the remainder when g is divided by j.
56
Suppose 5*c + 18*y - 1925 = 13*y, -3*c + 5*y = -1115. What is the remainder when ((-2)/4)/(5*(-2)/c) is divided by 7?
5
Let b(j) = -4*j**2 + 312*j + 3706. Calculate the remainder when b(88) is divided by 1/2 + 788/8.
87
Let q = 55 - 33. Let l(n) = -322*n - 2005. Calculate the remainder when l(-8) is divided by q.
21
Suppose 6*a - 2*a - 44 = 0. Let t(r) = -48*r - 30. Calculate the remainder when t(-1) is divided by a.
7
Suppose -5*p - 4*i + 101 = 11, -5*i + 39 = p. Let h = p - 10. Suppose -h*m + 67 = -13. What is the remainder when 117 is divided by m?
17
Let r = -10293 - -10660. What is the remainder when r is divided by 173?
21
Suppose -2*t = 3*y - 29, 2*t + 14*y - 21 = 19*y. Suppose 76 = t*d - 262. Calculate the remainder when d is divided by 15.
11
Suppose -m - 2 = -0*m. Let r = m - -6. Let p = -18489 - -18503. What is the remainder when p is divided by r?
2
Let m(p) = -12*p - 5. Calculate the remainder when m(-2) is divided by 0 - 15/(-5) - (-3 - 2).
3
Suppose 3*a - 8*a + 1060 = 5*l, 0 = 5*a - 4*l - 1033. What is the remainder when a is divided by 20?
9
Let v = 1 - 6. Let z = -2 - v. Calculate the remainder when 26/(9/(-12)*24/(-9)) is divided by z.
1
Suppose -8*h = -4*h + 744. Let s = h + 294. Calculate the remainder when s is divided by 28.
24
Let p = 12 + 41. Let k = 33 - p. What is the remainder when ((-4)/6)/(k/690) is divided by 7?
2
Let x(v) = v**3 + 11*v**2 + 10*v - 3. Let f be x(-10). Calculate the remainder when 126/24 + f/(-4) is divided by ((-4)/((-16)/10))/(4/8).
1
Suppose 83*d = 40*d + 4085. What is the remainder when 396 is divided by d?
16
What is the remainder when (753 - 0)*(0 - 4*5/(-60)) is divided by 98?
55
Let b = 532 - 519. Suppose -4*p + 44 = a, -b*p + 9*p - 180 = -3*a. Calculate the remainder when 108 is divided by a.
52
Suppose 739*g - 742*g + 672 = 0. What is the remainder when -2 + 34/14 + 229952/g is divided by 10?
7
Let p = -1 - 10. Let n be 102/(-22)*-6 - (-16)/88. Let f = n + p. What is the remainder when 49 is divided by f?
15
Suppose 199*y + 3 = 200*y, 1 = -2*z + 5*y. Calculate the remainder when 606 is divided by z.
4
Let q(i) = 56*i**2 + 2*i - 11. What is the remainder when q(3) is divided by 169?
161
Suppose 360*j - 3967 = 40673. What is the remainder when j is divided by 24?
4
Let q be 51/(-204) - 1610/(-8). Let h = q + -199. What is the remainder when 4 is divided by h?
0
Let b(p) = -37*p - 170. Suppose 3*t = -2*n - 25, -15*t + 13*t + 10 = -4*n. Calculate the remainder when 312 is divided by b(t).
12
Let x(p) = -112 + 49*p**2 - 70*p**2 - p**3 + 6*p + 0*p**3. Calculate the remainder when x(-22) is divided by 21.
9
Let y = 10670 - 8748. What is the remainder when y is divided by 638?
8
Let f = 5990 - 5958. What is the remainder when 1854 is divided by f?
30
Let i = -674 + 1389. Suppose -5*u + 10*u + i = 0. Let j = 159 + u. What is the remainder when 46 is divided by j?
14
Let m = 1044 + -1041. Let n(l) = -5*l**3. Let b = -13 - -12. What is the remainder when n(b) is divided by m?
2
Let t = -11017 + 12717. What is the remainder when t is divided by 563?
11
Suppose 5*n - 119 - 16 = 0. Suppose 1792 = 3*i - 17*i. Let x = 138 + i. Calculate the remainder when n is divided by x.
7
Suppose 0 = 4*l - 4*i - 0 - 4, 19 = 4*l - i. Suppose -4*b - l*b + 540 = 0. Calculate the remainder when 268 is divided by b.
52
Let k = -1 + 3. Suppose 61 = 3*o - k. Calculate the remainder when o is divided by 1929/(-643)*4*-1.
9
Suppose 11*o = -36*o + 2*o + 2160. What is the remainder when 992 is divided by o?
32
Suppose -x - 140 = -5*x. Let r(g) be the second derivative of -15*g**3/2 - 667*g**2/2 + 377*g - 2. Calculate the remainder when x is divided by r(-15).
3
Let u(q) = -3*q**3 - q**2 - 3*q - 2. Let b be u(-1). Suppose -b*n = -4*n + 69. Calculate the remainder when n is divided by ((-9)/2)/(1/(-2)).
6
Suppose -27*o = -13*o + 19*o - 12342. Calculate the remainder when o is divided by 125.
124
Suppose 5*v - 11 - 5 = -2*t, 8 = 4*v. Let d be -1 + 0 + (-1)/((-3)/t). What is the remainder when (d - (-38)/(-4))/(1/(-6)) is divided by 20?
17
Let n(t) be the second derivative of 265*t**4/6 - 2*t**3/3 - 3*t**2/2 - 119*t. What is the remainder when n(-1) is divided by 107?
103
Let i(m) = -5476*m + 82180. Let r = 559 - 323. Calculate the remainder when r is divided by i(15).
36
Suppose 4*m + 149 = -31. Let d = 9 - m. Calculate the remainder when d is divided by (-2)/(-12) + (-1079)/(-78).
12
Suppose 0 = -u - 2*t + 6, 0 = 2*u - 0*u - 4*t + 4. Let o(y) = 10*y**3 + 2*y**2 - 5*y + 7. Calculate the remainder when o(u) is divided by 18.
13
Suppose 2*y = -0*y - 8. Let s(g) = g**3 + 5*g**2 - g - 6. Let j be s(-5). What is the remainder when 16 is divided by ((-15)/(-12))/(j/y)?
1
Suppose 2*k - 2145 = -2*k + 5*r, -k - r + 525 = 0. Calculate the remainder when k is divided by 4*((-2)/5)/((-40)/950).
36
Suppose -44*a + 46*a + 648 = 5*m, 647 = 5*m - 3*a. Calculate the remainder when 647 is divided by m.
127
Let w(n) = n**2 + 19*n + 28. Let z be w(-18). Suppose 134 = i + 3*a + z, 0 = -a + 1. Calculate the remainder when i is divided by 31.
28
Let y(l) = -2*l - 15. Suppose -3237 = 29*j - 8022. What is the remainder when j is divided by y(-17)?
13
Suppose 171 = -2*u + u - a, 4*u = -3*a - 679. Let p = -143 - u. Calculate the remainder when 68 is divided by p.
22
Let o(x) = 638*x - 7553. What is the remainder when 1135 is divided by o(12)?
2
Suppose -10*s = -4*s. Suppose -38*m + 31*m + 364 = s. Calculate the remainder when 102 is divided by m.
50
Let s = -14 + 11. Let q(z) be the third derivative of z**6/120 + 7*z**5/60 + z**4/4 + z**3/6 - 2*z**2. Calculate the remainder when q(s) is divided by 5.
4
Suppose -98*c = -29*c - 29601. Calculate the remainder when c is divided by (-1 + (-2)/6)*(-14 + 2).
13
Let c(l) = 14*l - 79. Let v(u) = -22*u + 118. Let d(r) = -8*c(r) - 5*v(r). What is the remainder when 43 is divided by d(12)?
7
Let t(m) = -8*m + 15. Let z be t(2). Let q be (z - -8*1/3)*3. Calculate the remainder when 54/(17/(-4) + q) is divided by 19.
15
Let l(t) = -t - 25. Let f be l(-25). Suppose f + 55 = 5*n. What is the remainder when 50 is divided by n?
6
Suppose 5*a - 1