8 + 2346. What is the remainder when j is divided by 10?
8
Suppose -2*w - 117 = -123. Suppose -a - w*f - 19 = -2*a, 0 = -a - 2*f + 19. Suppose 49 = 2*t - t. Calculate the remainder when t is divided by a.
11
Let t = -2404 - -2461. What is the remainder when 165 is divided by t?
51
Calculate the remainder when 133 is divided by 12/54 + (1 - 244/(-36)) - -85.
40
Let l = -172 + 172. Let r(m) = -m**2 - 4*m. Let u be r(-4). Suppose 3*k + 12 = l, w - k - 23 = -u*w. What is the remainder when 55 is divided by w?
17
Suppose -9 = -5*x + 36. Suppose -b = -x*b + 216. Suppose 2*t + 3*t + q - 80 = 0, -t + q = -10. Calculate the remainder when b is divided by t.
12
Let v(u) = -19*u**2 + 2*u + 1. Let w be v(-1). Let a = 28 + w. Suppose -3*g + 4*x + 120 = -74, 5*x - 90 = -g. What is the remainder when g is divided by a?
6
Let v be (-1)/((-1)/(-2 - -4)). Let j(u) = 11*u. Suppose -428*o + 429*o + 14 = -q, 38 = 2*o - q. What is the remainder when j(v) is divided by o?
6
Suppose x - 54 = -11. Suppose -4*w + 7*w + 6 = 0, -5*h - 3*w + 2184 = 0. Suppose 510 = -h*c + 444*c. Calculate the remainder when c is divided by x.
42
Let l(k) = k**3 - 76*k + 479. Calculate the remainder when l(28) is divided by 71.
68
Let u(t) = 86*t - 98. Let y(c) = 6*c**2 + 30*c + 2. What is the remainder when y(-9) is divided by u(2)?
70
Let m = -41 - -1. Let q = m - -33. What is the remainder when 21 is divided by 2/q - 132/(-21)?
3
Suppose -y = 4*p - 828, -4*p = -151*y + 155*y - 3276. Calculate the remainder when y is divided by 146.
86
Let u(b) = 3*b + 110. Let q(s) = -s - 36. Let y(n) = 11*q(n) + 4*u(n). Calculate the remainder when y(6) is divided by 13.
11
Suppose -346*p + 56104 - 25225 + 100601 = 0. What is the remainder when 390 is divided by p?
10
Let i(b) = 9*b - 94. Let k be i(9). Let w = k + 44. Calculate the remainder when w is divided by 10.
1
Suppose 0 = o - 2 - 9. Suppose y + 3670*t - 3672*t - 74 = 0, 213 = 3*y - 5*t. What is the remainder when y is divided by o?
1
Calculate the remainder when 726 is divided by 35*2 - (-676)/169.
60
Suppose -2*r + 4*u = -5*r, 5*r - 29 = 3*u. Suppose -5*g + 42 = q - g, 3*q = -r*g + 126. What is the remainder when 77 is divided by q?
35
Let t(c) = -2*c**3 - 23*c - 53. Suppose d = -4*z + 2*z + 3, 0 = -3*z + 3*d. Calculate the remainder when t(-2) is divided by z.
0
Let n = -15591 + 16141. What is the remainder when 1131 is divided by n?
31
Let k(b) = 28*b + 2916. What is the remainder when k(-30) is divided by 63?
60
Suppose 34*x - 24*x = -630. Let g = x + 64. Calculate the remainder when g is divided by 1.
0
Suppose -1131256 = -85*g - 418316 + 374805. What is the remainder when g is divided by 5?
2
Let a = 10 + -8. Suppose a*p + 96 = 2*d, 2*p = 4*d - 0*p - 198. What is the remainder when ((-5)/(-3) - 1)*d/2 is divided by 8?
1
Suppose -15*r + 49 = -41. Suppose r*m + 30 = 3*m. What is the remainder when (m + 1)*(-17)/((-459)/(-72)) is divided by 7?
3
Let d(y) = -17*y + 145. Let s be d(-7). Suppose -7*r + 1104 = s. What is the remainder when r is divided by 14?
8
Let g = 3873 + -2097. What is the remainder when g is divided by 51?
42
Suppose 466*s - 464*s = 4*f + 134, -2*s = -f - 122. What is the remainder when 3240 is divided by s?
54
Let i(y) = y**3 + 4*y**2 - 71*y - 220. Calculate the remainder when 78 is divided by i(-4).
14
Suppose 0 = s + 4*z - 26, 140*z - 136*z = -20. Let y = -2 + 6. Suppose -y*a = -2*a - 54. Calculate the remainder when s is divided by a.
19
Suppose 3*i = 55 - 52, -r - 5*i = -480. Calculate the remainder when r is divided by 20.
15
Suppose 18*d - 2662 - 358 = 1066. Calculate the remainder when 363 is divided by d.
136
Suppose 51*s = 8779 - 160. Calculate the remainder when s is divided by 71.
27
Let q(l) = -3*l**2 - l + 90. Let b(h) = -2*h**2 - h + 88. Let i(x) = 4*b(x) - 3*q(x). What is the remainder when i(-10) is divided by 65?
62
Suppose 0 = 4*h, 28*g = 12*g - h + 2720. Calculate the remainder when g is divided by 68.
34
Suppose 0 = 126*u - 118*u - 200. Calculate the remainder when u is divided by 16.
9
What is the remainder when (-642*(24/8 - (-11)/(-3)))/2 is divided by 5?
4
Let v = 570 - 177. Let t = -307 + v. What is the remainder when t is divided by 22?
20
Suppose -3*o - 4*z = -49, -2*o + 5*o + z = 64. Let j = o - -28. Let p = j + -29. What is the remainder when 86 is divided by p?
20
Suppose 2*i + 97 + 137 = 4*t, -48 = -t + 4*i. Let h = 0 + 2. What is the remainder when (1 - h)*t/(-4) is divided by 5?
0
Let c(s) = s**2 - 16*s + 282. What is the remainder when 889 is divided by c(23)?
3
Suppose 2*p - 2351 = -3*s - 84, 7*s + 2*p = 5287. What is the remainder when s is divided by 7?
6
Suppose -5*g + 1159 - 259 = 0. Let c = -123 + g. What is the remainder when c is divided by 25?
7
Let n be -1*3/(12/58)*-2. Let h = 28 - n. What is the remainder when 42 is divided by (4/8)/(h/(-18))?
6
Let f(n) be the third derivative of n**2 + 0*n**3 + 1/30*n**5 + 0*n + 0 + 1/12*n**4. What is the remainder when 9 is divided by f(1)?
1
Suppose -5623 = -3*g + 1640. Calculate the remainder when g is divided by 45.
36
What is the remainder when (-233)/(-2) - 515/206 is divided by 55?
4
Let m(z) = -2*z**2 - 2*z. Let r be m(-2). Let l be 5*r/(-4) - 0. Suppose 0 = 3*q - 6, 3*n + l*q - 15 = 10. Calculate the remainder when 52 is divided by n.
2
Suppose 3*o - 2*z - 841 - 1079 = 0, -3*o + 1923 = -3*z. Calculate the remainder when o is divided by 40.
38
Suppose 5*d + 3*c - 15 = 0, 7*c = -2*d + 2*c - 13. Let n = -465 - -488. What is the remainder when n is divided by d?
5
Let g be (-820)/(-45) - (-2)/(-9). Suppose r - g = -2*r. Suppose -12*y + 117 = y. What is the remainder when y is divided by r?
3
Let o(g) = 4*g + 79. Let l be o(-19). Calculate the remainder when 715 + (l/(-5))/(2/(-10)) is divided by 12.
10
Let v = 3424 + -3373. Calculate the remainder when 199 is divided by v.
46
Suppose -2*y = -5*y. Let l be (-17)/(y + 5/(-15)). Let r = 1 + l. Calculate the remainder when r is divided by 27.
25
Suppose 5*h - 333 = 57. Let c = h + 48. What is the remainder when c is divided by 67?
59
Suppose 16*r = -402 + 3954. Let o = -158 + r. What is the remainder when o is divided by 34?
30
Suppose 4*m + u = 54, 2*u - 40 = -3*m - 2. What is the remainder when (14 - m)*(-1)/2 - -125 is divided by 35?
20
Suppose -39*p - 2 = -2*t - 37*p, -3*t = p - 7. Suppose -4*s + 593 = n + 174, -3*n = t*s - 1237. What is the remainder when n is divided by 16?
11
Calculate the remainder when (8 - 1) + (733 - 2)*(-29 - -30) is divided by 94.
80
Suppose t + 23 = -7*u + 10*u, 65 = 5*u - 5*t. Suppose 21 = 3*j + 2*x + 4, -j + 2*x + 19 = 0. Calculate the remainder when j is divided by u.
4
Let j be (4/(-5))/((3 + 5)/(-80)). Suppose 21 = 3*i + 3*s, 0 = i - 2*i + 5*s + 25. What is the remainder when j*(-90)/(-160)*4*1 is divided by i?
8
Let r(j) be the third derivative of 7*j**4/6 + 53*j**3/6 + 203*j**2. Calculate the remainder when r(12) is divided by 14.
11
Let a = -965 - -1095. Suppose -r - 3*d + 8 = 0, -4*d + 3 = r - 4. Calculate the remainder when a is divided by r.
9
Let k(m) = 2*m**2 + 754*m - 2270. Let s(i) = 119*i**2 + i + 1. Calculate the remainder when s(-1) is divided by k(3).
9
Let o(t) = -9*t**2 - 1102*t - 460. Calculate the remainder when o(-114) is divided by 48.
44
Let b(d) = -d**3 + 99*d**2 + 304*d + 218. Let o = -211 + 313. Suppose 8*g - 6*g - o = 0. Calculate the remainder when g is divided by b(102).
9
Suppose 2*p = 3*d + 5, -3*p - d = -23 - 12. Let s = -503 - -485. Calculate the remainder when 31 - s/(3 + 0) is divided by p.
7
Let h = -8117 - -8173. What is the remainder when 739 is divided by h?
11
Let x(k) = k**3 + 9*k**2 - 110*k + 3. Calculate the remainder when 1488 is divided by x(7).
9
Suppose -4*h + 10 = 10. Suppose -13*o = -194 + 12. Let t = o - h. Calculate the remainder when 41 is divided by t.
13
Let s = -151 - -158. Let g = s - -27. What is the remainder when g is divided by 9?
7
Let b be 1*(-24)/16*10/(-3). Suppose -3*m = 5*f - 39 - 69, -b*m + 193 = 4*f. Calculate the remainder when m is divided by 11.
8
Suppose 3*t + 22 = 76. Suppose -19*p = -t*p - 232. What is the remainder when p is divided by 26?
24
Let u(v) = 12*v**2 - 427*v + 175. Calculate the remainder when u(36) is divided by 227.
128
Suppose 15 = 19*g - 14*g. Suppose 2*w = 3*h +