pose 9*n = -714 + 66. Let c = n + 37. Let i = -14 - c. Calculate the remainder when i is divided by 13.
8
Let n = -41 + 46. Suppose 94 = n*x - 3*b, 4*x - 4*b - 29 = 3*x. Calculate the remainder when 27 is divided by x.
10
Let x = 473 + -409. Let n = -50 + x. What is the remainder when 48 is divided by n?
6
Calculate the remainder when 3083 is divided by 2100/3850 - (-11274)/22.
5
Let u = -103 - -101. Let y be -7*((-100)/(-7))/u. Suppose 10*o - y = 5*o. What is the remainder when 16 is divided by o?
6
Suppose -3*v + 4*h = -193 + 9, 0 = 5*h - 25. What is the remainder when 145 is divided by (629/v)/((-2)/(-8))?
34
Calculate the remainder when -2 - 7344/(-9 + -3) is divided by 57.
40
Suppose -5*b + 10 = 5*c, -c = 5*b + 3*c - 13. Suppose 2*a + 86 = 3*h - 36, -69 = -h - 5*a. Suppose 5*x = 66 + h. What is the remainder when x is divided by b?
2
Suppose 0 = -5*d + 2*z - 138, -6*z + 94 = -3*d - 2*z. Let b = 41 + d. Let w = 4 - -2. What is the remainder when b is divided by w?
3
Suppose -5*p + 588 = 2*h + 443, 28 = -4*p. Calculate the remainder when 249 is divided by h.
69
Let w(n) = 16*n**2 + 16*n + 9. Let z(k) = -15*k**2 - 15*k - 10. Let l(r) = -6*w(r) - 7*z(r). What is the remainder when l(-7) is divided by 36?
34
Let a(j) = -j**3 + 11*j**2 - 13*j + 6. Let x be a(9). Suppose 3*l - 18 = x. Suppose -16*t + 397 = 189. Calculate the remainder when l is divided by t.
10
Let l = -33 - 81. Let i = -102 - l. Calculate the remainder when i is divided by 7.
5
Suppose -6 = 3*i, 5*k + 5*i - 648 = 3637. What is the remainder when k is divided by 149?
114
Let j(h) = -h**3 - 19*h**2 + 20*h + 6. Let r be j(-20). Calculate the remainder when 2/r - 114/(-9) is divided by 4.
1
Let s(j) be the third derivative of 7*j**4/24 + 7*j**3/3 - 11*j**2. Let o be s(12). Let l = o - 15. What is the remainder when l is divided by 14?
13
Let z = -64 + 182. Suppose 1120*h - 1121*h + 4*u - 22 = 0, -2*h + 4 = -2*u. Calculate the remainder when z is divided by h.
8
Suppose 0 = -5*c + o + 15680, o - 6212 = -3*c + 3188. Suppose -14*m + c = -3*m. Suppose 0 = -7*u - 96 + m. Calculate the remainder when u is divided by 11.
5
Let q(c) = 16*c**3 + 56*c - 15*c**3 + 31*c**2 - 1069 + 1050. What is the remainder when q(-29) is divided by 24?
15
Let l(c) = 9*c**2 - 14*c + 16. Let m be l(7). Let z = 717 - m. What is the remainder when z is divided by 26?
20
Let a = -3481 - -3697. What is the remainder when a is divided by 88?
40
Let r(o) = o**3 - 7*o**2 - o + 17. Suppose 1 = m - h, -4*m - 9*h = -10*h - 13. What is the remainder when r(7) is divided by m?
2
Let o = 3358 + -3229. What is the remainder when o is divided by 108?
21
Let k = 89 + 190. Suppose -16*x + k = -13*x. Suppose i + 68 = 2*j, 3*i - 8*i + 89 = 3*j. Calculate the remainder when x is divided by j.
27
Suppose 4*g + r = -105620, 2*g + 26420 = g - 4*r. What is the remainder when (-2)/(-8) - g/112 is divided by 16?
12
Suppose 2*p = m + 1451, -4*p + 2860 = 243*m - 239*m. What is the remainder when p is divided by 14?
8
Suppose 170 = 29*d - 2411. Suppose -d*s + 87*s + 880 = 0. What is the remainder when s is divided by 34?
32
What is the remainder when 737 is divided by 3/9 + (-442)/(-6)?
71
What is the remainder when (4 - (236 - 9))/(-1) is divided by 99?
25
Let n = 27022 - 27004. Calculate the remainder when 660 is divided by n.
12
Suppose 0 = -159*t + 5751 + 22074. Let g(f) = -2*f + 57. What is the remainder when t is divided by g(18)?
7
Let f(c) = -3 + 6 - 100*c - 12 + 15*c + c**3 + 52*c + 14*c**2. Let j = -8 - 8. What is the remainder when 31 is divided by f(j)?
3
Suppose 10*i - 29*i + 8170 = 0. Let s = i - 274. What is the remainder when s is divided by 8?
4
Let n = -245 - -254. Suppose -2*j + 4*x = -130, 4*j - n*j + 3*x + 339 = 0. Calculate the remainder when j is divided by 7.
6
Let o be 2*2079/14 + 2. Suppose 0 = 3*c + 5*b - o, -5*c - 4 + 529 = -5*b. Calculate the remainder when c is divided by 19.
8
Let m be (-22)/66*-1*(69 - 0). Suppose m*i - 465 + 143 = 0. What is the remainder when 26 is divided by i?
12
Let x be 2/10 - (-7)/(-35). Let a be -1 + 0 + 2 - (2 - 5). Suppose x = -4*b - s + 9 + 90, 0 = -a*s + 12. Calculate the remainder when 95 is divided by b.
23
Let i(s) = -s**3 + s**2 + 5*s - 5. Let t be i(-6). Let n = -89 + t. Calculate the remainder when n is divided by 33.
29
Let z = -102 - -105. Suppose z*m = 3, 2*j = -2*m + 66 + 92. What is the remainder when j is divided by ((-20)/(-12) - 2) + 248/6?
37
Suppose 4*d + 2*q - 378 = 0, -4*d + 4*q + 348 = -0*d. Calculate the remainder when 822 is divided by d.
86
What is the remainder when 0/5 + 724 - 2 is divided by 186?
164
Let k = 689 - 731. Calculate the remainder when k*105/(-40) + 6/8 is divided by 43.
25
Let p(i) = -i**3 - 9*i**2 - 13*i - 11. Calculate the remainder when p(-9) is divided by -13 + (-771)/(-21) + -7 + (-306)/(-42).
10
Let o = -26 - -47. Suppose 2*u - j = 181, u + 4*j - 95 = -0*u. Suppose -2*i + u = -33. What is the remainder when i is divided by o?
20
Suppose 139 = 3*t - 3*j + 4*j, -4*t - 5*j = -189. Let c(n) = 32950*n - 98835. What is the remainder when t is divided by c(3)?
1
Let g = 16036 - 15876. What is the remainder when g is divided by 46?
22
Let n(w) = 5*w**3 + 49*w**2 - 233*w + 12. What is the remainder when n(6) is divided by 163?
154
Let l = -309 - -357. Suppose 2*w - l = -h, -12*w + 9*w + 2*h = -58. What is the remainder when 26 is divided by w?
4
Suppose -477 = -11*c + 1162. Let g = 84 + -33. Calculate the remainder when c is divided by g.
47
Suppose -c + 3*c - 12 = -3*v, -5*c = 5*v - 20. Suppose -4 = 4*w, c*u - 3*u = 4*w - 254. Calculate the remainder when u is divided by 44.
42
Let i = 11956 - 7027. What is the remainder when i is divided by 170?
169
Let h = -128 + 145. Suppose 0 = -n + h + 4. What is the remainder when 82 is divided by n?
19
Calculate the remainder when 2194 is divided by ((-50)/4 + (-24)/((-24)/6))*-6.
10
Suppose -20 = 5*v, 3*v - 520 = -2*r + 706. What is the remainder when r is divided by 16?
11
Suppose 5*u - 8*a = -9*a + 1375, -3*u + 833 = -a. Suppose 0 = -5*t + 364 + u. What is the remainder when t is divided by 43?
42
Let u(z) = -5*z**3 + 5*z**2 + z - 3. Let k = 339 - 342. Calculate the remainder when u(k) is divided by 44.
42
Suppose 4*z = -5*j + 115, 2*j = 5*j + z - 69. Let a = -172 - -284. Calculate the remainder when a is divided by j.
20
Let c be (-4 + 9)*11/5 - 0. Suppose -5*g - 4*l + 382 = 0, c*g - 16*g - l = -373. What is the remainder when 144 is divided by g?
70
Suppose -4*s + 15 = -3*s. Suppose -1 = -2*d + 9. Calculate the remainder when (2/d)/(46/11845) is divided by s.
13
Suppose -4*c + 142 = 52*x - 51*x, 3*x - 86 = -2*c. Let f = -9 + 5. What is the remainder when 2694/27 - f/18 is divided by c?
32
Suppose 13 = -n + 16. Suppose -n*k - 600 = -18*k. What is the remainder when k is divided by 15?
10
Let m(x) = -7*x**3 + 11*x**2 + 36*x - 44. Calculate the remainder when m(-9) is divided by 17.
16
Suppose -36*r = 6143 - 19139. What is the remainder when r is divided by 38?
19
Suppose -d - 3*f + 35 = f, -98 = -3*d - 5*f. Suppose 16*p - 42 = 14*p. What is the remainder when d is divided by p?
10
Suppose 63 = 14*y - 11*y. Calculate the remainder when 29 + 70 + (0 - -3) is divided by y.
18
Suppose -173 + 645 = 8*d. What is the remainder when 171 is divided by d?
53
Let b(h) = 6*h. Let z be (19/(-3))/(4 - 3283/819). Let p = z - 690. Calculate the remainder when p is divided by b(3).
15
Let a(n) = -n**3 + 6*n**2 - n - 5. Let s be a(5). Suppose s*l - 567 = 288. Calculate the remainder when l is divided by 16.
9
What is the remainder when 499 is divided by (-2)/((-35)/((-49875)/(-30)))?
24
Let z(x) = -4*x - 10. Let s be z(-7). Suppose -h + 71 - 67 = 0. What is the remainder when h/(-6) - (-714)/s is divided by 14?
11
Let k(w) = w**2 - w - 7. Let j = 44 + 11. Suppose -5*o = j - 570. Calculate the remainder when o is divided by k(7).
33
Let c = -9728 - -9744. What is the remainder when 21 is divided by c?
5
Suppose -94*a - 64*a = -178*a + 3300. Calculate the remainder when 374 is divided by a.
44
Let g(s) = -s - 8. Let w(j) = -4*j. Let u be w(6). Let x = u - -12. What is the remainder when 5 is divided by g(x)?
1
Suppose -10*f = -22777 + 22657. What is the remainder when 18611 is divided by f?
11
Calculate the remain