). Suppose 0*u = b*u - 260. What is the remainder when u is divided by z(0)?
7
Calculate the remainder when ((-5)/(-15) - 0)/(21/6552) is divided by 24.
8
Let a(d) = d**3 + 3*d**2 + 6*d - 4. Let u = 11685 + -11665. Calculate the remainder when a(4) is divided by u.
12
Let d(h) = -h**2 - 49*h - 125. What is the remainder when d(-32) is divided by 413?
6
Let q(n) = -n**2 + 3*n. Let a be q(3). Suppose 11*i - 255 + 35 = a. What is the remainder when i is divided by 11?
9
Let s = 58 + -63. Let u be (22/s - 9/15)/(-1). Calculate the remainder when 385/25 - 2/u is divided by 6.
3
Suppose 9*f = 672 + 3216. Suppose -f = 166*m - 170*m. What is the remainder when m is divided by 29?
21
Let z be ((-5)/((-3)/(-3)))/1. Let n = 10 + z. Let q = 695 - 666. Calculate the remainder when q is divided by n.
4
Let m = -256 + 292. Let h(f) = 9*f - 15. What is the remainder when m is divided by h(4)?
15
Let p(i) = -30*i - 356. Calculate the remainder when 1178 is divided by p(-13).
22
Let x(z) = 45*z**3 - z**2 + 2. Let y = 1824 + -1170. Suppose -y = -3*v - m - 105, -5*m - 349 = -2*v. Calculate the remainder when v is divided by x(1).
44
Let m(f) = -f**2 - 28*f - 58. What is the remainder when (3/(-2))/((-18)/1236) is divided by m(-24)?
27
Let q(m) = 11*m**2 + 86*m - 1. Let s be q(-7). Suppose 5*u - 5*k - 390 = 0, 0*u = 4*u + 3*k - 312. Let v = u + s. What is the remainder when 69 is divided by v?
13
Suppose -101*p + 170*p = 423384. Calculate the remainder when p is divided by 20.
16
Let m(c) = 7*c + 0*c**2 + 12 + 4 + c**2 - 2. Let s be m(-4). Suppose 3*j - 57 = 2*u, s*j - 4*u - 27 = u. What is the remainder when j is divided by 12?
9
Suppose 2*s + 2*f - 66 = 0, 5*f - 2*f - 69 = -2*s. What is the remainder when 457 is divided by s?
7
Suppose 15*w - 10*w = 70. Calculate the remainder when 1 - (-2)/(-4)*-218 is divided by w.
12
Let p = -29 + 30. Let j be (24/16)/(p/10). Calculate the remainder when j/(-3) - -3 - -17 is divided by 10.
5
Let b = -561 - -818. Calculate the remainder when b is divided by 87.
83
Let q = -21 - -34. Let t(u) = u**3 + 112*u**2 + 137*u + 2946. What is the remainder when t(-111) is divided by q?
8
What is the remainder when 2911 is divided by (-39)/((-48)/14 + (-30)/(-70))?
12
Suppose 5*h + 5*x = 0, 0 = -4*h - x + 4 - 1. Let z(p) = 197*p**2 - 6*p + 6. What is the remainder when z(h) is divided by 18?
17
Suppose -3*m + 5*h = -915, -26*m + 312 = -25*m - 4*h. Calculate the remainder when m is divided by 103.
94
Let y = -10 + 18. Suppose 4*l = y + 40. Suppose 5*g = -5*z + 650, 0 = 2*g - z + 27 - 281. Calculate the remainder when g is divided by l.
8
Let w = -11 + 14. Suppose -134 = -5*i + 2*r, 0 = w*i + 3*r - 6 - 66. Calculate the remainder when i is divided by 6.
2
Let d(s) = -2*s**3 + 13*s**2 - 10*s - 6. Let r be ((-1 - 4) + 4)/((-1)/5). Calculate the remainder when d(r) is divided by 13.
6
Let h(d) = 18*d - 92. Suppose -5*o - 30 + 9 = -c, 4*c = 2*o + 30. Calculate the remainder when 57 is divided by h(c).
9
Calculate the remainder when 3034 is divided by (1516/14*1)/(13/91).
2
Let y = -194 + 196. Suppose 2*m - 33 = -5*q, -y*q - 29 + 103 = 4*m. Calculate the remainder when 46 is divided by m.
8
Let w(v) = v**3 - 3*v**2 + 8*v - 13. Let g be (-220)/(-76) - 8/(-76). Calculate the remainder when 49 is divided by w(g).
5
Let w = 5754 + -5729. Let k(t) = 0*t + t - 4*t + 2 - 3. Calculate the remainder when w is divided by k(-5).
11
Let a = 26 + 6. Let q be 32/24 + (-134)/6. Let g = a + q. Calculate the remainder when 32 is divided by g.
10
Suppose -265*u = -269*u + 32. Suppose 0 = -5*i + f + 28, 23*i - 20*i = 5*f + u. Let s(j) = 8*j**2 + j - 1. What is the remainder when s(1) is divided by i?
2
Let g be (-6335)/(-14) + (-10)/(-4). Suppose -12*o = o - g. What is the remainder when 87 is divided by o?
17
Let a(b) = 264*b + 1879. What is the remainder when 1545 is divided by a(-7)?
26
Suppose -7*y + 9385 + 31945 = 3642. Calculate the remainder when y is divided by 55.
49
Suppose 0 = 4*a - 3*y - 2329, -2*y = -6*y + 4. Calculate the remainder when a is divided by 29.
3
Suppose 660 = 7*d - 3*d. Suppose 5*g - 8*f = -10*f + 580, 0 = -4*g - f + 467. Let z = d - g. What is the remainder when z is divided by 26?
21
Let v be (13 - 10)*2*19. Let m = v + -81. Let x(b) = b**3 + 29*b**2 + 22*b - 4. Calculate the remainder when x(-28) is divided by m.
32
Let j(o) = o**2 + 22*o + 27. Let x be j(-9). Let d be 2/5 - (-36)/x. Suppose 14*i - 318 + 80 = d. Calculate the remainder when 62 is divided by i.
11
Suppose 0 = -3*r - 2*r + 235. Suppose -4*s = -8*s - 24. Calculate the remainder when r is divided by 64/s*(-27)/18.
15
Suppose 511 = -4*n - 3*k + 1920, -k = 2*n - 705. What is the remainder when n is divided by 161?
31
Let a(x) = 24*x + 6. Let v be a(6). Calculate the remainder when v/14 - (-4)/14 is divided by 15/(-35) - (-585)/91.
5
Suppose -3*n + 318 = -3*j + 2*n, -5*n = -2*j - 212. Let v = 194 + j. Let b = 13170 + -13155. Calculate the remainder when v is divided by b.
13
Let z = -23018 - -23066. Calculate the remainder when 1144 is divided by z.
40
Suppose 63 = i - 313. Suppose 10*p = i - 6. Calculate the remainder when 62 is divided by p.
25
Suppose i = -0*n + 5*n - 489, 5*i - 397 = -4*n. Let x = -42 - -76. What is the remainder when n is divided by x?
30
Let o = 34 - 30. Let u be 1/9 - (-2695)/45. Let p = o + u. What is the remainder when p is divided by 33?
31
Let z = 3159 + 18. Calculate the remainder when z is divided by 30.
27
Suppose -9*p + 128 + 43 = 0. Let a(r) = 109*r - 431. What is the remainder when p is divided by a(4)?
4
Let q be ((-429)/195)/((-1)/10). Suppose q*x - 576 = -2*x. What is the remainder when 117 is divided by x?
21
Let y = -10104 - -10675. Calculate the remainder when y is divided by 6.
1
Let f(h) = -2*h + 44. Let x be f(13). Let v(q) = 8*q - 1. Calculate the remainder when v(5) is divided by 3*1 + (x/3 - -1).
9
Suppose 0 = -0*y + 4*y - 20, -a + y + 8 = 0. Let c(k) = -k**3 + 4*k**2 - 12*k + 66. Calculate the remainder when c(4) is divided by a.
5
Suppose 6*b - 34 = -4. Suppose 3*m + 476 = b*k, -8*k - 190 = -10*k + m. What is the remainder when k is divided by 27?
13
Suppose -7*r + 443 - 65 = 0. Let l = -50 + r. What is the remainder when l/(-10)*(-38 - -3) is divided by 8?
6
Suppose -409124 = -364*z + 208948. Calculate the remainder when z is divided by 36.
6
Let t = -60 + 154. Suppose 0 = -4*s + 3*s - 3*b + 30, 4*s - b - t = 0. Let a(r) = 2*r**2 - 15*r + 1. What is the remainder when s is divided by a(8)?
6
Suppose -t - 4*t - 2*i = -81, 19 = t - i. Suppose 0 = 2*g - m - 65, -g = -3*m - t - 3. Calculate the remainder when 129 is divided by g.
24
Let h = -3513 - -3558. What is the remainder when 3868 is divided by h?
43
Calculate the remainder when (14952/(-890))/(-1 + 132/140) is divided by 58.
4
Let h = -16887 - -17088. What is the remainder when h is divided by 70?
61
Let i(m) = -3*m + 45. Let u(h) = -10*h**3 + 3*h**2 + 4*h + 4. Let c be u(-2). Let g be -3*(c/3)/(-8). What is the remainder when 83 is divided by i(g)?
11
Suppose -2*m - 6*l - 12 = -7*l, -5*m - 12 = 2*l. Suppose -2*z + 48 - 18 = 0. Calculate the remainder when z is divided by -3*((-24)/m)/(-2).
6
Suppose -2*r = 2*r + 32. Let w(u) = u**3 + 9*u**2 + 2*u - 9. Let d(h) = 2*h**3 + 11*h**2 + 10*h - 9. What is the remainder when w(r) is divided by d(1)?
11
Let a = 2090 - 2087. Suppose -2*m - 51 = -s - 0*m, 125 = a*s + 8*m. What is the remainder when s is divided by 68/6 - 4/(-6)?
11
Let p = -37524 + 37591. What is the remainder when 1068 is divided by p?
63
Suppose 0 = -4*q - 3*z + 103, 2*q - 13 - 6 = 5*z. Calculate the remainder when 14/(-4) - (-1299)/6 is divided by q.
15
Suppose 8*a = 29 - 5. Suppose -b + 14 = -2*j, 2*b - 31 = a*j + 2*j. What is the remainder when 290/b + (-7)/28 is divided by 10?
6
Suppose 0 = b - d - 48, -30 = -b - 5*d - 0. Suppose -47*c - 46 = -b*c. What is the remainder when 159 is divided by ((-3)/6*c + 0)*2?
21
Suppose 25*v - h - 183 = 23*v, h = -5*v + 440. What is the remainder when 185 is divided by v?
7
Let d = -22 + 35. Let m(b) = 2*b + 74. Calculate the remainder when m(-6) is divided by d.
10
Suppose -1092 = 50*l - 48*l. Let n = 852 + l. Calculate the remainder when n is divided by 44.
42
Let x(n) = 109*n**2 - 80*n - 238. Calculate the remainder w