
Suppose -x - 3*r = 182, -5*r - 714 = 4*x - 0*r. Let u = 236 + x. Calculate the remainder when u is divided by 24.
12
Let l = 4605 + -4114. What is the remainder when l is divided by 464?
27
Let b be (30 - -4) + 68/(-17). Let q = 61 + -3. Calculate the remainder when 16/(-120) - (-8644)/b is divided by q.
56
Suppose -3 - 3 = 2*p - 2*r, p + 6 = 4*r. Let g(j) = 18*j**2 + 2*j + 6. What is the remainder when g(p) is divided by 24?
2
Let h be 6754/30 - (219/(-45) - -5). Let q = h - 210. Calculate the remainder when q is divided by 4.
3
Suppose 26*b = -28*b + 75*b - 3150. Calculate the remainder when 367 is divided by b.
67
Suppose 987*o = 1001*o - 35994. What is the remainder when o is divided by 26?
23
Let s = 8190 - 8178. Calculate the remainder when 56 is divided by s.
8
Let o(t) = 38*t - 3. Suppose 6*u - 5 = r - 185, 0 = -2*u - 12. What is the remainder when r is divided by o(2)?
71
Let j be 1*-28*((-50)/8 + 5). Suppose 33*o - 28*o = j. Calculate the remainder when 27 is divided by o.
6
Suppose -352 = -2*g - 4*z, -5*g + 13*z = 16*z - 908. What is the remainder when g is divided by 7?
2
Calculate the remainder when 1338 is divided by (-209)/(-2) + 123/6 + -20.
78
Suppose 0*k = -12*k - 804. What is the remainder when k/(-2) - (-21)/42 is divided by 10?
4
Let o(x) = 10*x**2 + 13. Let r be o(-4). Suppose 5*a + 4*f - 155 = 0, f - 28 = 4*a - r. Calculate the remainder when a is divided by 20.
15
Let m(i) = -4*i + 1. Let z be m(1). Let d(y) = -y**3 - 4*y**2 - 15*y - 16. Let t(u) = 40*u**3 - 1. What is the remainder when t(1) is divided by d(z)?
19
Suppose -d - a + 5 + 23 = 0, -2*d - a + 54 = 0. Let g = -16714 - -16841. Calculate the remainder when g is divided by d.
23
Let k(b) = -38*b + 5. Let y be (-2)/10 + 112/35 + -6. Let s(z) = z**3 - 9*z**2 + 11*z + 6. What is the remainder when k(y) is divided by s(8)?
29
Suppose 2*h = 2*i - 4*i + 76, -5*h - 15 = 0. Suppose 6*p + 102 = 3*p. Let o = 128 - p. What is the remainder when o is divided by i?
39
Let m(p) = 2*p**2 + 29*p - 483. Calculate the remainder when 423 is divided by m(-25).
3
Let s be 2/(4/(-12) - 0). Let y = s - -21. Let q(k) = -28*k - 1. Calculate the remainder when q(-2) is divided by y.
10
Let h(w) = 2*w**2 + 4*w + 4. Suppose 0 = -159*a + 29*a + 4940. Calculate the remainder when a is divided by h(-3).
8
Suppose -t + 31 - 32 = 3*p, 0 = 4*t - p - 22. Suppose 0 = -u, 0*u - t*u + 101 = y. Calculate the remainder when y is divided by 17.
16
What is the remainder when 10095 is divided by (6*-1)/(468/(-858))?
8
Let z = -13 - -43. Let k(w) = 62*w**3 + 3*w**2 - 6*w + 9. Let c be k(2). Let f = -489 + c. Calculate the remainder when z is divided by f.
14
Suppose 1 = -t + 4*i - 11, 5*t + 3*i - 32 = 0. What is the remainder when 198 is divided by t?
2
Suppose -2*h + 0*k + 132 = 4*k, -h + 65 = 3*k. Let n(v) = 0*v - 5*v - 8 + 1 + 2*v**2 + v. Calculate the remainder when h is divided by n(5).
22
Suppose -665 = -7*x - 147. Suppose 2*s - 228 = u, s + u = x + 34. Calculate the remainder when s is divided by 23.
20
Suppose -163*c + 62*c + 92516 = 0. What is the remainder when c is divided by 23?
19
Let i(v) be the first derivative of -51*v**2/2 - 80*v + 81. What is the remainder when i(-7) is divided by 90?
7
What is the remainder when (0 - -501)*4/(-42)*(2015 + -2022) is divided by 56?
54
Let c = 22669 + -18867. Calculate the remainder when c is divided by 1263.
13
Let w(r) = 4*r**2 - 157*r + 50. Suppose 63*j - 516 = 1941. What is the remainder when 60 is divided by w(j)?
5
Let o be (-78)/(-429) + 3*72/22. Calculate the remainder when 14 is divided by o + (2/(-9) - 102/27).
2
Suppose -4*d - s + 847 = 0, 0 = -d + s + 247 - 34. What is the remainder when d is divided by 24?
20
Suppose 3*p = 5*p - 280. Suppose 5*j + 5*m = 35, -21*j + 12*j - 2*m = -35. Suppose -j*d - p = -5*d. What is the remainder when d is divided by 9?
7
Suppose -54 - 13 = -r. Let x = -1397 + 1402. Calculate the remainder when r is divided by x.
2
Suppose -q + 430 = -2*u + 1139, -714 = -2*u - 4*q. Suppose -43*i + 763 = -u. Calculate the remainder when 200 is divided by i.
18
Suppose -5*s + 2 = -18. Suppose 0 = -2*o - 5*a + 229 + 145, s*o = -4*a + 748. Calculate the remainder when o is divided by 14.
5
Suppose c + 0*c = 5*z + 10, 3*c - z - 16 = 0. Suppose 0 = c*v - 5. What is the remainder when 65*v/3 - (-108)/(-162) is divided by 17?
4
Let z = 378 - 364. Suppose -3*t - 110 = -z*t. What is the remainder when 50 is divided by t?
0
Let t = -13758 + 15538. Calculate the remainder when t is divided by 11.
9
Let c(z) = z**3 + 24*z**2 + 19*z - 12. Let h be c(-23). What is the remainder when (-25*(-5)/20)/(2/h) is divided by 14?
12
Suppose 33 = 3*p - 129. Suppose 108 + 585 = 7*a. Calculate the remainder when a is divided by p.
45
Let g = 8012 - 8003. What is the remainder when 203 is divided by g?
5
Let x = 333 + -375. What is the remainder when 34 is divided by (x/(-9) - 8)/((-2)/9)?
4
Let n(p) = -p**2 - 11*p - 5. Let h be -5 + (296 - (-10)/(-2)). Suppose -21*j + h = j. Calculate the remainder when n(-7) is divided by j.
10
Suppose 0 = -2*r - 2*y + 20, 5*y - 125 + 19 = -9*r. Calculate the remainder when 4700 is divided by r.
10
Suppose 0 = -32*a - 1174 + 3830. Suppose -153*t + 154*t = 10. What is the remainder when a is divided by t?
3
Let q be (-2 - 0)*(-2 - 6). Let p be (5/(-6) - (-8)/q)*33. Let x = p + 27. What is the remainder when 27 is divided by x?
11
Let l(x) = -2*x**3 - 67*x**2 + 110*x + 266. Let i = 62 + -38. Calculate the remainder when l(-35) is divided by i.
19
Let y(l) = -2*l**2 - 2*l + 295. Let a be y(0). Let d = -271 + a. What is the remainder when 166 is divided by d?
22
Let f = -122 + 185. Calculate the remainder when f is divided by (-2930)/(-80) - (9/(-24) - 0).
26
Suppose -2*f = 4*i - 4876, -f - 164*i + 167*i = -2403. Calculate the remainder when f is divided by 18.
12
What is the remainder when ((-6039)/6)/(34/(-68)) is divided by 12?
9
Suppose 5*i + l - 1044 = 198, 0 = 4*i - 4*l - 960. Calculate the remainder when i is divided by 83.
81
Let x be (-6330)/(-24) - 6/8. Suppose 4*w - x = n, -6*w + 265 = -2*w + n. What is the remainder when w is divided by 28?
10
Suppose 17*j + 195 - 201 = 470. What is the remainder when 521 is divided by j?
17
Let l be (-4)/10*13/2*-10. Calculate the remainder when -7 + (-279)/(-39) + 984/l is divided by 4.
2
Let t(o) = -6*o**2 + 4*o**2 + 22 + o**3 - 6*o**2 - 9*o. Suppose -50 = -30*b + 220. What is the remainder when t(b) is divided by 9?
4
Suppose 0 = -10*k + 677 - 147. Let d = 769 + -453. What is the remainder when d is divided by k?
51
Let p be (-15)/30*(2 + -2). Let y be 1 - p - (2 - -2)/(-4). Suppose -18 = -3*z + y*g, 0*z - z + 6 = 5*g. What is the remainder when 19 is divided by z?
1
Let m = 16105 + -16101. What is the remainder when 258 is divided by m?
2
Suppose -5*v - 5*h = -495, 2*h + 312 = -324*v + 327*v. Let t(r) = -r**3 + 7*r**2 - 7*r. Calculate the remainder when v is divided by t(3).
12
Suppose -2*g = 0, 4*v - 8 = g + 12. Let q(d) = 11*d + 65. Let b(t) = -16*t - 98. Let k(u) = v*b(u) + 7*q(u). What is the remainder when 27 is divided by k(-15)?
7
Suppose k + 2 = 3. Suppose 0*s = -5*s + i + 208, 0 = -3*i - 9. What is the remainder when 1959/12 - k/4 is divided by s?
40
Calculate the remainder when -7 - 5*445/(-25) is divided by 42.
40
Let m = -414 + 219. Let a = 244 + m. What is the remainder when 119 is divided by a?
21
Let z be 2/6 - (-12 + (-5367)/(-9)). Let w = z - -616. Calculate the remainder when -1 - -96 - (1 - -1) is divided by w.
29
Let k be (5 + 28/(-8))/((-12)/3296). Suppose -5*p = -0*f - 3*f + 1972, -2*f - p = -1293. Let x = f + k. Calculate the remainder when x is divided by 30.
27
Let q(r) = -r**2 - 6*r - 9. Let d be q(-7). Let o(a) = -a**3 - 17*a**2 - 25*a - 48. Calculate the remainder when o(d) is divided by 33.
30
Calculate the remainder when 730 is divided by (-6)/2 + (-5428)/(-23).
31
Let y = -327 + 387. Suppose -8*c + 68 + y = 0. Suppose -2*h + 12 = 4*u, h - 2*h + 5*u + 20 = 0. What is the remainder when c is divided by h?
6
Suppose 21*a = -41*a. Calculate the remainder when 153 is divided by (a + -1)/(3/(-129)).
24
Let i(y) = -618*y - 795. Calculate the remainder when i(-5) is divided by 754.
33
Let a = -22 - -26. Suppose -y + 36 = 5*f + 5, 4*y = a*f + 4. W