he remainder when n is divided by 8.
2
Let i = -235 - 213. Let c be i/(-12) - 7/21. Suppose -c + 160 = n - q, q - 627 = -5*n. What is the remainder when n is divided by 43?
39
Let p = 2240 - 2162. What is the remainder when 544 is divided by p?
76
Let j = 133 + -70. Let v be 9 - (0 + (-8)/(-2)). Suppose -v*m = -122 - j. Calculate the remainder when m is divided by 10.
7
Let v(y) = -y**3 + 29*y**2 + 44*y + 37. What is the remainder when v(30) is divided by 223?
11
Suppose 4*w - 24 = 48. Let k be 12/7 + 3/((-21)/(-2)). Suppose k*y + 3 - 9 = 2*n, 1 = -y + 5*n. What is the remainder when w is divided by y?
2
Let x = -164 - -174. Calculate the remainder when 135 is divided by x.
5
Suppose -4*y = -3*q - 290, 2*y + 111*q - 108*q - 172 = 0. What is the remainder when 1328 is divided by y?
19
Let w be (39/(-26))/(6/(-8)). Suppose -5*r + 3*u - w*u + 87 = 0, -93 = -5*r + 4*u. What is the remainder when 131 is divided by r?
12
Let g = 361 + -327. Suppose 2*m + 9*o = 5*o + g, -2*m + 2*o = -10. Calculate the remainder when 484 is divided by m.
7
Let i = 8910 + -8721. Suppose 0 = 2*t - b - 50, 10 - 138 = -5*t + 4*b. What is the remainder when i is divided by t?
21
Suppose -4*y + 3825 = -34*y + 13785. What is the remainder when 1343 is divided by y?
15
Suppose -346398 = -138*r + 24*r + 495036. Calculate the remainder when r is divided by 13.
10
Suppose 7014 = -6760*h + 6774*h. Calculate the remainder when h is divided by 8.
5
Let j be (22/77)/(1/301). Suppose -j + 13 = -v. Let h(i) = 3*i**2 + 8*i + 3. What is the remainder when v is divided by h(-5)?
35
Suppose 30*p - 390 = 35*p. Let b = p + 76. What is the remainder when 71 is divided by (1545/(-21))/(-5) - b/7?
11
Let r = 3331 + -2194. What is the remainder when r is divided by 278?
25
Suppose 3*q - 20*s - 300 = -19*s, 0 = q + 4*s - 113. What is the remainder when 245 is divided by q?
43
Suppose 3*g + 4*w - 11 = 0, 3*g + 5*w + 0*w = 13. Calculate the remainder when 389 is divided by -13 + 68 + g + 0.
53
Let y(l) = -39*l**2 + 5*l + 5. Let w be y(-1). Let j = -17 - w. What is the remainder when 86 is divided by j?
20
Let f = 10 - 6. Let y = 1539 + -1521. Suppose y = 3*o - 5*g, f*o + 0*o = 5*g + 24. Calculate the remainder when 35 is divided by o.
5
Let l = 3919 + -3894. What is the remainder when 648 is divided by l?
23
Suppose 3*h + 3*n + 3 = 0, 0 = -2*h - h - n + 5. Suppose 0 = -2*b + h*b - 115. What is the remainder when b is divided by 23?
0
Let c = -2315 + 3330. Calculate the remainder when c is divided by 130.
105
Let f(a) = 3*a - 94. Let k be f(-36). Let v = 406 + k. Calculate the remainder when v is divided by 53.
45
Let o(i) = i**3 - 23*i**2 + 69*i + 149. Let q = 655 + -448. Calculate the remainder when q is divided by o(19).
15
Let y(q) = -q**3 + 14*q**2 + 19*q + 10. Let s be -6 + (1 - (0 + 4)). Let x be (19 + s)/((-2)/(-3)). What is the remainder when y(x) is divided by 24?
22
Suppose 3*c + 6*a - 260 = 4*a, 0 = 2*c - 4*a - 168. Calculate the remainder when 299 is divided by c.
41
Suppose 7*h - 4232 = 4*t, 5*h - 2*t - 1069 = 1959. What is the remainder when h is divided by 71?
40
Let d = -36 + 41. Suppose 0 = -o + 7 + d. Let k(c) = c + 31. Calculate the remainder when k(-8) is divided by o.
11
Let b = 2509 - 2341. Let f(g) = -2*g**3 - 4*g**2 - g - 2. What is the remainder when b is divided by f(-3)?
16
Let g = 6684 - 3551. Calculate the remainder when g is divided by 95.
93
Suppose 11*v - 198 = 6*v - 2*r, 5*v = -3*r + 202. Suppose -9*c - 900 = -12*c. Calculate the remainder when c is divided by v.
34
Suppose -5*m = 5*x + 1015, -2*x + 3*m - 6*m - 404 = 0. Let p = x - -211. Calculate the remainder when 34 is divided by p.
4
Let r = -1981 - -2117. Suppose 4*v + 0*v = 140. What is the remainder when r is divided by v?
31
Suppose -n - 5*p + 30 = 0, n + p = 3*p + 37. Suppose -62*t + 2693 = -9*t - 487. Calculate the remainder when t is divided by n.
25
What is the remainder when -4 - 415*(-3)/(-15)*-3 is divided by 120?
5
Let c(q) = -q**3 + 8*q**2 - 4*q + 2. Let a be c(5). Suppose -a = 13*b - 668. What is the remainder when 136 is divided by b?
42
Let p = 1431 + -727. Suppose -2*h + p = -284. What is the remainder when h is divided by 62?
60
Let r(j) = -6*j**2 - j + 2. Let u be r(-3). Let b = u - -62. What is the remainder when b is divided by 6 + (1 - 2) + 3?
5
Suppose -5*u = 5*r - 1885, 4*r + u + 66 - 1589 = 0. Calculate the remainder when r is divided by 14.
4
Suppose 12 - 132 = -4*d. Let z = 112 + 2. What is the remainder when z is divided by d?
24
Let z(g) = -g + 19. Let a = 56 + -37. Let d be z(a). Suppose d*p = 2*p - 26. Calculate the remainder when 47 is divided by p.
8
Suppose 3*c - 778 - 1237 = -5*v, c + 3*v = 669. What is the remainder when c is divided by 85?
80
Suppose -7 - 1 = -2*z. Let r be (z*2/(-6))/(4/(-12)). Suppose 52 - 489 = -r*x - 5*l, 3*x + 2*l = 333. Calculate the remainder when x is divided by 29.
26
Let h(p) = 2*p**3 - p**2 - 12*p + 17. Let t be h(2). Suppose z - 288 = -t*k, -2*k - 4*z = -3*z - 117. Calculate the remainder when 57 is divided by k.
0
Suppose 3*v - 253 = -8*v + 1232. What is the remainder when v is divided by 28?
23
Suppose 2*j = -3*j + 190. What is the remainder when j is divided by (-21307)/(-2145) - (-3)/45?
8
Suppose -m - 4 = -5*b, -4*b + 0*b - 20 = 5*m. Suppose 3*y - 141 = -b*y. Let s = 2576 + -2551. What is the remainder when y is divided by s?
22
Let u be (-2120)/(-28) - 32/(-112). Let k = -68 + u. Calculate the remainder when 69 is divided by k.
5
Suppose -2*p - 19*n + 22*n = -54, -42 = -2*p + 5*n. Calculate the remainder when 1547 is divided by p.
35
Let c = 8070 + -7622. What is the remainder when c is divided by 8?
0
Suppose -4*s - 2*j = -134, 81556*s + 125 = 81560*s + 5*j. What is the remainder when -1*1 + 42/1 is divided by s?
6
Suppose 28 = 3*o - 0*o - 2*v, 5*v = 5. Let q(n) = 40*n - 127*n + 9*n**2 + 46*n + 39*n + n**3. Calculate the remainder when q(-9) is divided by o.
8
Let h be (-17330)/50 + -6 - 2/5. Let p = -310 - h. What is the remainder when 85 is divided by p?
42
Suppose 3*h + 3*t - 141 = 0, -2*h + 9*t = 4*t - 129. Let m(s) = -5*s - 59. Let d be m(-7). Calculate the remainder when 22 is divided by 58/12 + (h/d)/(-13).
2
Suppose 0 = -108*s + 14812 + 28280. What is the remainder when s is divided by 27?
21
Suppose 486*q - 715938 = 281734 + 29246. Calculate the remainder when q is divided by 703.
4
Suppose 0 = o - m - 140 + 37, 5 = -5*m. Suppose -4*k + 16 = -8*k, -2*j - 2*k = -702. Let a = j - 320. What is the remainder when o is divided by a?
32
Let c = 1906 - 1769. What is the remainder when 1239 is divided by c?
6
Let z = -14 + 34. Suppose -2*x + 2*v = -138, 4*x + 34*v = 29*v + 285. What is the remainder when x is divided by z?
10
Let a = 113 - 63. Let l = 399 - 392. Suppose 0 = -l*c + 30 + 89. What is the remainder when a is divided by c?
16
Suppose 38*j = -40*j + 93*j - 3735. What is the remainder when j is divided by 106?
37
What is the remainder when 4051 is divided by (-15)/(-2) - ((-1)/(-10) + 106/265)?
5
Let d = -640 + 428. Let r = 247 + d. What is the remainder when r is divided by 9?
8
Suppose -2622 = -10*y - 932. Suppose -4*w + 7*w + 3*x = 126, 4*x = 4*w - 176. Calculate the remainder when y is divided by w.
40
Suppose 3*v - 47 = 46. Let d = -23 + v. Calculate the remainder when ((-6)/(-2))/(6/28) is divided by d.
6
Let o be 33 + (-4)/(12/3). Suppose 4*y + 16 = 0, -2*x + 2*y + 3*y = -o. Calculate the remainder when 87 is divided by x.
3
Suppose -15*a - 3*a - 89600 = -58*a. Calculate the remainder when a is divided by 283.
259
Suppose 21*v - 282 - 222 = 0. Let k = 14 + 2. Calculate the remainder when v is divided by k.
8
Suppose -3*z = 3*s - s - 259, -z = -5*s + 639. What is the remainder when s is divided by (-63008)/(-1790) - 287/35?
20
Let x(u) = -2*u - 6*u + 5*u + u + 15. What is the remainder when 50 is divided by x(-2)?
12
Suppose 6*p = -16 + 76. Suppose 180 = p*r - 40. What is the remainder when 50 is divided by r?
6
Let c(u) = u + 10. Let k be c(-3). Suppose k*y = 16 - 2. Suppose -5*b = -3*q - 82, b = -0*b - 4*q - y. Calculate the remainder when 26 is divided by b.
12
Calculate the remainder when 76 is divided by (20 - (-2669)/(-119))/((-2)/14).
8
Let v = -52 - -54. Let t be -2*v/12 + (-2596)/(-12). Suppose 441 + t = 9*q.