 - 24. Suppose 0 = -38*v + 46*v - 136. Let w be r(v). Calculate the remainder when 696/15 - 3 - (-6)/w is divided by 23.
21
Suppose 4868 = 19*w - 4442. What is the remainder when 1609 is divided by w?
139
Let h = -38982 + 39141. Calculate the remainder when 1745 is divided by h.
155
Suppose -b = l - 6, 2*b - 19 = -0*l - 3*l. Let z = 88 - 48. Let f = -23 + z. What is the remainder when f is divided by l?
3
Suppose -110*w - 107*w = -216*w - 65. What is the remainder when 1167 is divided by w?
62
Let y be 4/6 - 1096/(-12). Let t = 130 + y. Let f = -7584 - -7640. What is the remainder when t is divided by f?
54
Let g = 169 - 161. What is the remainder when 2559/57 + g/76 is divided by 4?
1
What is the remainder when 3 + 3 + (2442 - (-9 - -13)) is divided by 486?
14
Suppose -72*y + 885 = 4*z - 77*y, -442 = -2*z + 2*y. What is the remainder when 2195 is divided by z?
215
Let g = -5 - -3. What is the remainder when 236 is divided by (-1)/12*-946 + g/(-12)?
78
Suppose 612 = -3*n - o + 2816, -5*o = 5*n - 3660. Suppose -6*x - 26*x + n = 0. Calculate the remainder when 180 is divided by x.
19
Suppose 7*j - 3*j + 4 = 0. What is the remainder when -4 - (-5904)/44 - (-8)/(-44) is divided by (-7)/((-14)/36) - j?
16
Let m(k) = -9*k - 55. Let p be m(-9). Let j(n) = 3*n - 43. Suppose -i + 54 = 3*v, 4*v + 200 = 5*i - 165. What is the remainder when i is divided by j(p)?
34
Let x = -4 - -48. Suppose -3*g = y + 3*y - 56, -5*y - x = -g. Suppose 42*p - 171 = -49 + 256. Calculate the remainder when g is divided by p.
6
Let y = 3526 - 3402. What is the remainder when y is divided by 84?
40
Let y be 2/(4 + -8)*(-7 - 1). Suppose 217 = 3*d - y*v + 8, 5*d = -3*v + 387. What is the remainder when d is divided by 32?
11
Let q = 39 + -34. Suppose 21 = q*i + 2*o, -4*i + 14 = -o - 8. Let p(g) = g**3 - 7*g**2 + 9*g + 8. What is the remainder when 24 is divided by p(i)?
0
Let l(k) = 15*k - 22*k + 21 + 5*k. What is the remainder when l(-23) is divided by (50 + 1)*(-2)/(-6)?
16
Let d(p) be the second derivative of -5*p**3/6 - 6*p**2 - p + 1. What is the remainder when 49 is divided by d(-8)?
21
Let j(y) = -y**2 - 31*y + 14. Let g be j(-31). Suppose -g*i + 165 - 53 = 0. What is the remainder when 31 is divided by i?
7
Let z(n) = -3*n**2 - n + 82. Suppose 0 = 20*r - 24*r - 64. Let x be r/(-6) + -2 - 4/6. What is the remainder when z(x) is divided by 14?
12
Suppose 0 = 5*d - a - 231, -4*a - 223 = -5*d - a. What is the remainder when d is divided by (66/(-77))/((165/(-154))/15)?
11
Suppose -3*l + 11*l = -4*l + 360. What is the remainder when 110 is divided by l?
20
Let y(r) = -205*r + 33. Let m be y(2). Let i = m - -641. Calculate the remainder when i is divided by 67.
63
Let d = -18100 + 18718. Calculate the remainder when 673 is divided by d.
55
Let q be 50/5*6/(-45)*-6. Suppose q*f - 73 - 87 = 0. Calculate the remainder when 316 is divided by f.
16
Suppose 74 = q - 5*z, 43*q - 47*q - 3*z = -319. Calculate the remainder when 168 is divided by q.
10
Let r = -64 - -133. Suppose 5 - r = -8*k. Calculate the remainder when 15 is divided by k.
7
Let l(x) = -6*x + 42. Let z be l(5). Suppose 0 = k - z + 1. What is the remainder when 6/9 - 116/(-6) is divided by k?
9
Suppose -10 = 2*j, w + w = -4*j - 16. Suppose 2*y = -5*y. Suppose 2*g + o - 318 = y, -w*g + o = -4*o - 306. What is the remainder when g is divided by 41?
35
Let f(l) = 2*l**2 - 10*l - 177. Calculate the remainder when 299 is divided by f(-8).
20
Let o be 2898/63*((-1)/1 + 4). Suppose p - 7*p = -o. What is the remainder when 137 is divided by p?
22
Suppose -1292 = -110*p + 463 + 885. What is the remainder when 1297 is divided by p?
1
Suppose -3*r + 345 = -3*n, -5*r + 471 = 4*n - 68. Calculate the remainder when 547 is divided by r.
103
Let u be ((-128)/(-80))/((-2)/5). Let y be 4/8 - (0 - 130/u). What is the remainder when (-12)/y - (-2105)/40 is divided by 11?
9
Suppose 61*b + 431 = 2261. Suppose 4*q - 5*j = q + 451, 3*q - 4*j = 449. Calculate the remainder when q + 2*3/6 is divided by b.
28
Let d be (-78)/(-30) + (-18)/(-45). Suppose -d*i + 331 = 304. Let u = 31 - -49. What is the remainder when u is divided by i?
8
Suppose 0 = 8*y + 16 + 8. What is the remainder when 420*4/(9 - y) is divided by 29?
24
Suppose 280 = 3*a - 2*r, -364 = 8*a - 12*a + 5*r. Calculate the remainder when 3154 is divided by a.
82
Let w(m) = -2*m**3 - 4*m**2 - 9*m - 16. Suppose -4*s + 4 = 0, 2*s = 5*a + 4 + 13. Let q = 0 - -171. What is the remainder when q is divided by w(a)?
26
Suppose 0 = 3*n + 2*n - 5*b + 270, 108 = -2*n + 5*b. What is the remainder when 228/n*-3 - (-6)/(-9) is divided by 6?
0
Suppose 93*s - 100*s = -245. What is the remainder when 27 is divided by 1/(s/(-18) + 2)?
9
Suppose -35*w = -11*w + 25104. Suppose 4*h - 9 - 26 = 5*a, -5*a = -25. Calculate the remainder when 100 is divided by 2/h + w/(-30).
30
Suppose 0 = -267*o + 5657 + 50146. Calculate the remainder when 908 is divided by o.
72
Suppose 252*o = 248*o + 756. What is the remainder when 75 is divided by o/(-84)*(-2 + 22/(-3))?
12
Let z(t) = 4*t - 13. Let k = 1 + 1. Suppose 4*p = a + k*p - 39, -3*a + 97 = -p. What is the remainder when a is divided by z(6)?
9
Let a(b) = b**2 + 20*b + 86. Calculate the remainder when 157 is divided by a(-17).
17
Suppose 21583 + 938 = 19*m + 4813. What is the remainder when m is divided by 33?
8
Let m = 52 + 180. Suppose -90*x = -910416 + 906906. Calculate the remainder when m is divided by x.
37
Let n = -52 - -106. Let g = n - 24. Let f(x) = x**3 - 8*x**2 + 12*x - 7. Calculate the remainder when f(8) is divided by g.
29
Suppose -2*v - 2770*c = -2772*c - 7190, -v - 3*c = -3599. Calculate the remainder when v is divided by 61.
58
Suppose -5*d - 13*d = -4626. Suppose -j + 136 = x, -5*x - d = -2*j - 4*x. What is the remainder when j is divided by 17?
12
Suppose -4*t - 4*k = -9*k - 5, 30 = 3*t + 5*k. Suppose -t*b + 58 = -32. Calculate the remainder when b is divided by 14.
4
What is the remainder when 1182 is divided by (233 + (-143)/13)/3?
72
Let i = 91 + -33. Let l(y) = 3*y - 61 - 2*y**2 + 0*y**3 - y**3 + i. What is the remainder when l(-4) is divided by 5?
2
Let k be (-2)/(-3)*2898/(-7)*-1. Suppose 0 = -0*l + 12*l - k. What is the remainder when 63 is divided by l?
17
Suppose -a + 2*u = 3*a - 40, a + 2*u = 20. Calculate the remainder when 824110/25620 + (11/(-6) + 2)/(-1) is divided by a.
8
Suppose 4*q = 0, -3*y = -5*q - 1481 + 455. Calculate the remainder when y is divided by 99.
45
Let r(c) = c**2 + 7*c - 3. Let p = 27 + -35. What is the remainder when (-294)/(-24) + (-2)/8 is divided by r(p)?
2
What is the remainder when 3/((-2)/(-3)*(-51)/(-525232)*24) is divided by 96?
11
Let s = 185 - 168. What is the remainder when 625 is divided by s?
13
Let a = 33 + -31. Suppose 5*p = -o + 132, -a*o + 99 - 17 = 3*p. Suppose 78*f - 72*f - 54 = 0. What is the remainder when p is divided by f?
8
Suppose 4*z - 5*n - 154 = 0, -n = -5*z - 20 + 223. Let g = 449 + -248. Calculate the remainder when g is divided by z.
37
Let l(x) = -145*x - 889. Calculate the remainder when l(-7) is divided by 4.
2
Suppose 5*t - 16 = -4*q + 14, 4*q - 10 = 5*t. Calculate the remainder when 8/(-6) - 998/(-6) is divided by (4/(-6))/(-3*q/540).
21
Suppose -5*l + 19 = -2*j, -5*j = -3*l - 0*l. What is the remainder when 8/28*(89 - -2) is divided by j?
2
Let x be -3*(-5)/(-2)*-2. Let j be x + 0 + 27/9. What is the remainder when 43 is divided by j/(-15)*(-75)/6?
13
Suppose -288*x + 283*x + 6 = 4*g, -4*x - 4*g = 0. What is the remainder when 1702 is divided by x?
4
Let i be (-2 - (-402)/9)*18. Suppose i + 416 = 8*t. Calculate the remainder when t is divided by 31.
24
Let d = -412 - -416. Suppose -33 = -b + k - 5*k, 0 = d*b - 5*k - 216. Calculate the remainder when b is divided by 19.
11
Let y(h) = -6*h**3 - 2*h**2 + 2*h + 3. Let g be 52/91 - (-11)/(-7). What is the remainder when 52 is divided by y(g)?
2
Let v(u) be the third derivative of -25/6*u**3 + 7/24*u**4 + 0*u + 0 - 19*u**2. What is the remainder when v(10) is divided by 12?
9
Let c = -120438 + 120502. Suppose -w = 2*d - 27 + 2, 3*w - 4*d = 45. Calculate the remainder when c is divided by w.
7
Suppose 0*t = 2*t + 3*d - 51, 39 = 2*t - d. Suppose -170 = -4*w + 2*j, -5*w - 32*j + 214 = -33*j. What is the remainder when w is divid