6*t - 41*t - 8 = -2*x, -16 = -4*x + 3*t. Let b(s) = 3*s - 4. What is the remainder when b(5) is divided by x?
3
Suppose 3*b + 75 = g, -3*b = -2*g - 0*b + 150. Calculate the remainder when 144 is divided by g.
69
Let z(c) = -c**3 - 15*c**2 - 46*c - 6. Calculate the remainder when 188 is divided by z(-11).
12
Let a = 745 - 539. What is the remainder when a is divided by 19?
16
Let v(o) = -50*o - 12. Calculate the remainder when v(-1) is divided by 23.
15
Suppose 39 = -w + 3*m, 3*w + 54 - 2 = -4*m. Let f = -17 - w. Calculate the remainder when 13 is divided by f.
6
Let a(p) = 17*p**3 - 6*p**2 + 3*p - 8. Let y(j) = -8*j**3 + 3*j**2 - j + 4. Let s(n) = -4*a(n) - 9*y(n). What is the remainder when s(3) is divided by 24?
20
Suppose -94 = -2*b + 310. Calculate the remainder when b is divided by 23.
18
Let v = 69 + -84. Calculate the remainder when (-200)/v*(-6)/(-4) is divided by 8.
4
Suppose 32 = 2*q - 4*l, 2*q - 34 = l + 4*l. Let m = -89 + 172. Calculate the remainder when m is divided by q.
11
Let l = -71 + 45. Let a = l + 56. Suppose -4*m = -18 - 14. What is the remainder when a is divided by m?
6
Let x(y) = 9*y**2 - 126*y - 32. Let u be x(14). Suppose 0 = 4*q - 2 + 46. Let o = q - u. What is the remainder when 61 is divided by o?
19
Let a = -121 + 205. Calculate the remainder when a is divided by -2 + (-32)/(-4) - 1.
4
Let f = 421 - 297. Suppose -6*z = 2*x - z - 91, -f = -3*x + 5*z. Calculate the remainder when x is divided by 7 + -3 + ((-56)/(-7) - -10).
21
Calculate the remainder when 37 is divided by 668/42 - (38/42 - 1).
5
Let k = 12 - -82. Suppose k + 89 = 3*r. What is the remainder when r is divided by 16?
13
Let b(t) = -3*t - 11. Calculate the remainder when b(-17) is divided by 15.
10
Suppose -4*x = 2*v - 42, -4*v + 41 + 63 = 3*x. Let t = -4 - -89. Calculate the remainder when t is divided by v.
27
Suppose 2*w - w + 35 = 0. Let a = -20 - w. What is the remainder when 2/5 + 174/a is divided by 5?
2
Suppose b + 2 = 12. Suppose 0 = -4*r + b + 2. Calculate the remainder when (41/1 - -2) + r is divided by 16.
14
Let z = 761 - 564. Calculate the remainder when z is divided by 11.
10
Suppose x = -13 - 4. Suppose -28*o - 17 = -11*o. Let v = o - x. Calculate the remainder when v is divided by 10.
6
Let o(y) = -y + 16. Let c be o(6). Let z(r) = r**2 - 2*r - 3. Let v be z(3). Let b = v + c. What is the remainder when 49 is divided by b?
9
Suppose 2*s + 2 - 6 = 0. Suppose s*r = o, -o + 2*r = -4*o + 40. What is the remainder when 47 is divided by o?
7
Suppose 2*a = 4*c + 8, 2*a + c = a - 2. Let q be a/(((-4)/(-1))/(-2)). Suppose q*n = 2*n - 24. Calculate the remainder when 22 is divided by n.
10
Let y(p) = p**2 - 13*p - 30. Let n be y(14). What is the remainder when 8 is divided by -1*10*8/n?
3
Let g(v) = -2*v**3 - 4*v**2 - 11*v - 11. Calculate the remainder when g(-3) is divided by 11.
7
Let b = 141 + -78. Let x = 35 - 30. Suppose -5*r = -x*y - 95, y + 15 = -4*y. What is the remainder when b is divided by r?
15
Let x(f) = -f + 1. Let k be x(-3). Suppose -k*l - 12 = -280. What is the remainder when l is divided by 69/2*2/3?
21
Let h = -1584 - -1725. What is the remainder when h is divided by 16?
13
What is the remainder when 270/(-81)*(-1 + 147/(-15)) is divided by 20?
16
Let o(h) = h**3 - 8*h**2 + 5*h + 17. Let p = 12 + -8. Suppose t + 3*t - p = 0. Calculate the remainder when o(7) is divided by t.
0
Suppose 0 = 2*g - 10, 3*o - 4*g + 8 = 0. Suppose -s = -o*k + 405 - 60, 0 = -k + 5*s + 72. Let n(v) = -4*v + 6. What is the remainder when k is divided by n(-6)?
27
Suppose -4*u = -3*u + 4*d - 27, -3*u - 5*d = -46. What is the remainder when 53 is divided by u?
4
Let g(o) = o + 15. Let t be g(-12). Let w(i) = -8*i**2 - 11 + 3*i**t + i**3 - 10*i + 1 - 5*i**3. Calculate the remainder when 32 is divided by w(-7).
10
Suppose 1053 = -3*g - 4*f, -3*g + 2*g - 5*f - 340 = 0. Let h = -214 - g. What is the remainder when h is divided by 12?
9
Let h = -268 - -273. Let v be (-39 + 0)/((-3)/2). Suppose -v = -h*b - f + 22, 3*b + 5*f = 42. What is the remainder when 33 is divided by b?
6
Let m(c) = 5*c**2 + 8*c - 27. Let x be m(10). Suppose -k + 4*k = -5*l + x, 4*k + 3*l = 752. Calculate the remainder when k is divided by 32.
31
What is the remainder when 41 is divided by (1*(-8 - -4))/((-4)/23)?
18
Suppose 23*l - 2367 = 4694. Calculate the remainder when l is divided by 31.
28
Suppose 0 = 3*m + 4*o - 52 - 1, -3*m + 48 = 3*o. Let w = 57 - -2. Suppose -21 = 2*i - w. Calculate the remainder when i is divided by m.
8
Let r(a) = 4*a**3 - 5*a**2 + 14*a - 20. What is the remainder when 158 is divided by r(2)?
18
Let r = -68 + 111. Suppose 0 = 2*i + 5*a - r, -i - 29 = -2*i - 5*a. What is the remainder when 52 is divided by i?
10
Suppose -13*o - 10370 = -98*o. What is the remainder when 1096 is divided by o?
120
Suppose 19*c + 230 = 29*c. What is the remainder when 665 is divided by c?
21
Let y(n) = -n**3 + n**2 + n + 68. Let w be -3 + 1 + 4 + -2. What is the remainder when y(w) is divided by 18?
14
Let s = 14 - 12. Let b(k) = k - 4. Let i be 2/(-4)*16*-1. Calculate the remainder when b(i) is divided by s.
0
Suppose 0 = -5*o + f + 42, -6*o + 5*f - 42 = -9*o. What is the remainder when 6/(-2)*1 - -12 is divided by o?
0
Suppose 2*p - 38 = -a + 83, 2*a + 3*p - 247 = 0. What is the remainder when a is divided by 40?
11
Suppose 16*j - 700 = 9*j. Suppose -u = -2 - 0, -4*u = -3*q + j. Calculate the remainder when 101 is divided by q.
29
Let y be 0 + -2 - (4 - 3). Let d = 53 - 40. Calculate the remainder when ((-150)/y)/(2 - 0) is divided by d.
12
What is the remainder when -72*(3/(-12) + (-333)/108) is divided by 28?
16
Suppose -4*j = -0 - 8. Suppose -3*v + 25 = j*v, 0 = 5*d - 2*v - 190. Calculate the remainder when 157 is divided by d.
37
Let n(k) = k**2 - 14*k + 29. Let r be n(12). Suppose 2*h = r*v + 50, 4*h - 5*v = h + 80. Calculate the remainder when h is divided by 17.
13
What is the remainder when 517 is divided by -3*(26/6 + -9)?
13
Suppose -4*v + 80 = -8*v. Calculate the remainder when (-700)/v*(1 - 0) is divided by 13.
9
Calculate the remainder when -1 - (4/2 + -6*23) is divided by 42.
9
Suppose -5*d + 5 = -5*v - 0*v, 4*v - 3*d = -6. Let w = -15 - v. Let o = w + 22. Calculate the remainder when 16 is divided by o.
6
Suppose 4*b + 1580 = 4*n, 3*n - b - 1189 = 3*b. Let w(q) = q**3 - q**2 - 3*q + 49. What is the remainder when n is divided by w(0)?
48
Let r be ((-13)/26)/((-1)/(-34)). Let a = -3 - r. Suppose 0 = -3*d - 4*o + 111, 0*d - 5*o = -d + 56. Calculate the remainder when d is divided by a.
13
Suppose 3*y = 4*o - 27, -8 = -o - 3*y + 5*y. Suppose 0 = -4*a + o + 38. What is the remainder when 41 is divided by a?
8
Suppose 3*w = 39 + 45. Suppose 9*u = 7*u + 110. What is the remainder when u is divided by w?
27
Calculate the remainder when (104/16 - 6)*238 is divided by 62.
57
Suppose 16*u + 544 = 2*y + 13*u, 5*y - 2*u - 1338 = 0. What is the remainder when y is divided by 15?
11
Suppose 73*x + 328 = 4*v + 72*x, -423 = -5*v - 2*x. What is the remainder when v is divided by 27?
2
Suppose -74*c + 73858 = -25524. What is the remainder when c is divided by 32?
31
Suppose -64*o = -72*o + 1176. What is the remainder when o is divided by 50?
47
Suppose -12 = 2*k + k, -5*z + 602 = -3*k. Calculate the remainder when (-7)/(35/10) + z is divided by 39.
38
Let d = 2051 - 1929. What is the remainder when 255 is divided by d?
11
Let v(u) = u**3 + 10*u**2 + 10*u + 17. Let i be v(-9). Suppose i*o - 186 = 5*o. What is the remainder when o is divided by 16?
14
Let n(v) = 22*v. What is the remainder when 55 is divided by n(1)?
11
Let a be 7/3 + (-3)/9. Suppose s - 175 = -2*q, -3*q = -a*s - 209 - 64. What is the remainder when q is divided by 18?
17
Suppose -11*a = -10*a - 128. What is the remainder when a is divided by 35?
23
Suppose 35 = -4*j - 333. Let x be (-3)/(-4 + (-362)/j). Let w = -31 + x. What is the remainder when 40 is divided by w?
10
Suppose -4*f - 4*a = -0*a, -3*a + 3 = 4*f. Suppose f*j - 2*j - p = 38, -j + 22 = -5*p. Calculate the remainder when 123 is divided by j.
39
Suppose 4*k - 179 = d, -k + d = 2*k - 135. Let a(f) = f + 11. Let r be a(-10). Suppose -2*o = -31 + r. What is the remainder when k is divided by o?
14
Let m be (43/2)/((-5)/(-120)). Suppose 0 = -h + 132 - 33