vided by s.
43
Let j(l) = l**3 + 2. Let c be j(-2). Let w = 9 + c. Suppose -5*b + w*x = -347 + 94, b - 4*x - 37 = 0. Calculate the remainder when b is divided by 27.
26
Suppose -3*k - 4*r + 80 = -60, 3*k - 100 = 4*r. Calculate the remainder when k is divided by 21.
19
Let o(v) = 10*v**2 + 20*v - 6. Calculate the remainder when o(-4) is divided by 68.
6
What is the remainder when 0 + 22 - 6/(-2)*-1 is divided by (-1)/((-84)/(-44) - 2)?
8
Suppose 94*p - 2424 + 450 = 0. What is the remainder when p is divided by ((-1)/(-2))/(1/22)?
10
Let x(p) = -27*p - 907. Suppose -2*f + 2*t + 60 = -2*t, -4*f = -5*t - 126. Calculate the remainder when x(-36) is divided by f.
31
Let b = 3041 - 2385. What is the remainder when b is divided by 73?
72
Suppose 21*p - 156 + 30 = 0. Suppose -5*u + 16 - 6 = 0. Suppose 0 = -u*t + 4, 0 = 4*h - 0*h + 3*t - 50. Calculate the remainder when h is divided by p.
5
Suppose -2*t = -159 + 137. What is the remainder when 98 is divided by t?
10
Suppose -s + 116 = 5*a, 4*a = 10*s - 5*s + 87. Let t = -10 - -18. Calculate the remainder when a is divided by t.
7
Let f be (-8)/(-28) - (-15)/21. What is the remainder when f/5 + 72/40 is divided by 2/4 - (-1)/2?
0
Suppose -172 - 248 = -10*x. Let a(v) = v - 3. Let u be a(-9). Calculate the remainder when x is divided by -45*(0 + 4/u).
12
Suppose -3*g + 53 = 5*y, 0 = -5*y + 21 - 1. Suppose j + 2*z - 7 = 4*z, j - z = g. Calculate the remainder when 89 is divided by j.
14
Let w(y) = -2*y**3 - 5*y**2 + 15*y + 11. Let h(f) = -3*f**3 - 4*f**2 + 16*f + 11. Let p(s) = -3*h(s) + 4*w(s). What is the remainder when 54 is divided by p(6)?
10
Let o(h) = -82*h + 9. Let g be o(-1). Let u = -17 + g. Calculate the remainder when u is divided by 11.
8
Let d(g) = -6*g - 14. Let k be d(-14). Suppose -86 = -4*h + k. Suppose 3*p = 4*w - 27 - 20, 0 = -3*w + 3*p + h. Calculate the remainder when 22 is divided by w.
6
Suppose w - 317 = -2*j - 33, -2*j - 2*w + 280 = 0. What is the remainder when j is divided by 49?
46
Suppose 2*s = -2*k - k + 594, 5*k + 2*s - 990 = 0. Suppose 15*f - 6*f = k. Calculate the remainder when 129 is divided by f.
19
Let y(s) = s**2 - 12*s + 1. Let v be y(12). Suppose 0 = 2*q - 7*q + 40. What is the remainder when (-378)/(-9)*v/2 is divided by q?
5
Let m = 101 + -43. Suppose -m*i - 101 = -59*i. What is the remainder when i is divided by 34?
33
Let g be (0 - -28)/((-12)/(-24)). Suppose -8*z + g = -0. What is the remainder when 18 is divided by z?
4
Suppose -v = 4*n + 4*v - 4, 4*n - 4 = 3*v. Let d = 146 + -141. What is the remainder when d is divided by n?
0
Suppose -11 = 2*k + 17. Let f(h) = h + 22. Let l = -46 + 59. Calculate the remainder when l is divided by f(k).
5
Let k(f) = -2*f**3 - 5*f**2 - f + 2. Suppose n + t + 1 = 4*t, 2*n = 5*t - 3. Let p(r) = r**2 - 2*r - 4. Calculate the remainder when k(n) is divided by p(-3).
10
Let r(m) be the second derivative of m**5/20 + 3*m**4/4 - 3*m**3/2 + 3*m**2/2 - 7*m. Calculate the remainder when r(-8) is divided by 35.
34
Let b = 255 + -100. Let d = b - 95. Suppose -9*a + d = -3*a. Calculate the remainder when 17 is divided by a.
7
What is the remainder when 102 is divided by ((-1446)/1687)/(1 + 43/(-42))?
30
Suppose -11*h = -3*h - 192. Calculate the remainder when 75 is divided by (-4)/(h/(-114)) + (1 - 0).
15
Let v = -788 - -1346. What is the remainder when v is divided by 80?
78
Let g = 51 + -30. Let o be (0 + -3)*(-35)/g. Suppose 0*x - 165 = -5*x + o*h, -2*x - 3*h + 56 = 0. What is the remainder when x is divided by 11?
9
Suppose -p - 2*c + 4 = -3, 4*p - 48 = -4*c. Calculate the remainder when 1935 is divided by p.
14
Let d = -41 + 48. Suppose 5*h - 265 = -5*q, 5*q + 5*h - 49 = 4*q. Calculate the remainder when q is divided by d.
5
Suppose -2*i - 37 = 3*d, 0 = -4*i - 3*d + 2*d - 99. Let j = i - -49. Suppose 5*z - 68 = 4*z. Calculate the remainder when z is divided by j.
22
Let k be (-2 - 1)/(3/(-4)). Suppose -3*l = -k*l + 59. Suppose 220 = -72*s + 1660. Calculate the remainder when l is divided by s.
19
Let i(q) = -4*q - 9. Let k = 7 + -5. Suppose -k*g + 8 = 2*u, 18 + 19 = 4*g - 3*u. What is the remainder when i(-9) is divided by g?
6
Let h(p) = p**2 + 4*p - 13. What is the remainder when h(8) is divided by (-748)/(-16) + -4 - (-1)/4?
40
Let z = 98 + -59. Let w(b) = b**3 + 8*b**2 - 9*b + 3. Calculate the remainder when w(-7) is divided by z.
37
Let c be -1 + 1 - 6/2. Let w = 8 + 1. What is the remainder when 34*(4 + (c - 0)) is divided by w?
7
Suppose 6*s - 1430 = -20. Suppose -i - 73 + s = m, -2*i = m - 166. What is the remainder when m is divided by 40?
38
Suppose 3*o + 4*q = 5*o - 198, -3*o - 3*q + 270 = 0. What is the remainder when o is divided by 19?
17
Let o(n) = -n**3 + 14*n**2 + 14*n + 21. Let m be o(15). Suppose -k = -m*h + 4*h + 73, 5*h + 2*k = 187. Calculate the remainder when 71 is divided by h.
34
Let y = -68 - -85. Suppose -6 = -y*r + 16*r. What is the remainder when 29 is divided by r?
5
Suppose 5*c = 4*q + 16, 4*c - 12 = 2*q + 2. Suppose x + c*x = -4*d + 108, -4*d + 3*x + 76 = 0. Calculate the remainder when 83 is divided by d.
17
Suppose 5*l - 1775 = -n, -2*l - 5*n = -2*n - 710. What is the remainder when l is divided by 120?
115
Let p(t) = t**3 - 5*t**2 - t - 14. Let r be p(7). Let d = -6 - -23. What is the remainder when 5137/r - (-2)/7 is divided by d?
16
Suppose -g = -2*g + 5. Suppose g*z - 36 - 54 = 0. Suppose 92 = 2*h + 5*l + z, 2*h - 50 = l. Calculate the remainder when h is divided by 10.
7
Suppose -54 = -4*y + 2*s + 20, s = 1. What is the remainder when -1 + y + -3 + 3 is divided by 4?
2
Suppose 21*y = 2953 - 769. What is the remainder when y is divided by 42?
20
Let r(c) = 15*c + 2. Let x(q) = 8*q + 1. Let j(s) = -2*r(s) + 5*x(s). Calculate the remainder when 21 is divided by j(1).
10
Let f(u) = -u**3 + 17*u**2 - 17*u + 10. Let j be f(16). Let t = -45 - -75. What is the remainder when t is divided by ((-5)/(-10))/((j/44)/(-3))?
8
Let n(m) = -3*m**2 - 23*m + 6. What is the remainder when n(-7) is divided by 11?
9
Let g(a) = -26*a + 472. What is the remainder when g(11) is divided by 35?
11
Suppose i + 0*h + 7 = 5*h, 2*h + 5 = 3*i. Suppose -i*k + 86 = 29. Let p = -347 - -352. Calculate the remainder when k is divided by p.
4
Let k(p) = p**3 + 33*p**2 + 28*p - 108. What is the remainder when 47 is divided by k(-32)?
7
Suppose -5*k = -5*d + 460, -5*k + 341 = -44*d + 48*d. Calculate the remainder when 515 is divided by d.
70
Let u be 129 + -118 + 2*(-4)/2. Let z(g) = g**3 + 8*g**2 + 3*g - 8. Let d be z(-6). Suppose 5*x = u*x - d. Calculate the remainder when x is divided by 8.
7
Suppose -5*m - 3*f + 1479 = f, -m + 3*f = -311. What is the remainder when m is divided by 46?
23
Let k(w) = 4*w + 4. Let s be (-3)/(-6) + 36/(-8). Let i(r) = 3*r + 3. Let d(f) = s*k(f) + 6*i(f). What is the remainder when 21 is divided by d(5)?
9
What is the remainder when 9 - 34704/(-66) - 2/(-11) is divided by 27?
22
Suppose -1 = -2*l + 3. Calculate the remainder when 115 is divided by -2*58/16*-2*l.
28
Let s = 470 + -391. Calculate the remainder when s is divided by 41.
38
Suppose -4*x - 3*m + 467 = 0, -4*x - 555 = -9*x + 2*m. What is the remainder when x is divided by 32?
17
Let r be 954/(-12)*(-2 + 4). Calculate the remainder when (-27)/(-81)*r/(-1) is divided by 28.
25
Suppose -24*y = 10*y - 646. Suppose 3*l = 15, -2*l + 16 = -g + 3*g. Calculate the remainder when y is divided by g.
1
Let l = 10 + 43. Suppose 11*b = 14*b - 24. Calculate the remainder when l is divided by b.
5
Suppose -7*j + 44 = -124. Suppose 150 = 3*t + j. What is the remainder when t is divided by 24?
18
Let c(k) = -8*k - 22. Suppose 8*d = 4*d + 100. Calculate the remainder when c(-18) is divided by d.
22
Suppose -5*z + 2*u - 131 = 3*u, -2*u - 2 = 0. Let q = z + 1. Let i = 43 + q. What is the remainder when 51 is divided by i?
15
Let j(u) = -33*u + 287. Calculate the remainder when 181 is divided by j(7).
13
Let f(b) = -b**2 - 6*b - 3. Let o be f(-5). Suppose -o*d + p = -185 + 39, -p = -d + 73. Let x = -39 + d. Calculate the remainder when x is divided by 12.
10
Suppose n + 67 = l + 2*l, 5*n = -5*l - 395. Let k = n + 81. What is the remainder when k is divided by 4?
1
Let w(l) = -6*l**2. Let n be w(3). Let a = 111 + n. Calculate the remainder when a is divided by 