e -2*f + 5 = 5*x, 70 = 3*f + f - 2*x. Calculate the remainder when 27 is divided by f.
12
Let z(k) = k**3 - 11*k**2 + 2*k + 3. Suppose -4*b - 47 - 253 = 0. What is the remainder when -1 - (-1 + 2 + b) is divided by z(11)?
23
Let a(v) = -2*v - 6. Let f be a(-5). Suppose -f*k + 4*m + 8 = 0, 0 = 3*k + 2*m + 1 - 32. What is the remainder when k is divided by 3?
1
Let j be (-20)/6 + 8/(-12). Let r be (-3)/(-4) - 1/j. Calculate the remainder when (r + -7)/(-3) - -5 is divided by 3.
1
Suppose -24 = -4*t + 5*t. Let a = -14 - t. What is the remainder when -2*3/2*-6 is divided by a?
8
Suppose -5*n = u - 65, -4*n - 2*u = -5*u - 52. What is the remainder when n is divided by 11/2 + 4/(-8)?
3
Let w = -37 + 22. What is the remainder when 41 is divided by (-171)/w + (-2)/5?
8
Let v(b) = 9*b - 5. Let u be 30/(-9)*6/(-4). Suppose -9 = -r - k, 0*k + 2*k = -4*r + 46. What is the remainder when v(u) is divided by r?
12
Let v(s) = s**3 - 2*s + 1. Let a be v(1). Suppose a = -5*h - 5*f + 35, 0*h - 5*h + 32 = 4*f. Calculate the remainder when 14 is divided by h.
2
Let i(s) = 4*s + 6. Let w be i(-6). Suppose 89 = 3*x + 2. Let k = x + w. What is the remainder when k is divided by 3?
2
Suppose h = 5*h - 444. What is the remainder when h is divided by 38?
35
Suppose -2*x - 44 = -2*f - 2*f, -3*x = 0. Let k = f - 5. What is the remainder when 14 is divided by k?
2
Suppose -2*j + 36 = d, -2*d = 2*j - 5*j + 47. Calculate the remainder when j is divided by 9.
8
Let u(m) = -m**3 - 7*m**2 - m + 3. Calculate the remainder when 18 is divided by u(-7).
8
Suppose -3*k + 24 = b, -b + 4*b + 5*k - 52 = 0. Let v(s) = -s**2 + 17*s - 11. Calculate the remainder when v(b) is divided by 21.
19
Suppose 3*a = -4*b + 4 - 13, 5*a - 17 = 4*b. Let t = 3 + a. Let w(k) = 12*k**2 - 1. Calculate the remainder when w(-1) is divided by t.
3
Suppose -g = -0*g - 4, 4*g + 48 = 4*m. Suppose 0 = -2*k + 4*n + 124, 2*n = -2*n. What is the remainder when k is divided by m?
14
Let v(k) = k**3 + 3*k**2 - 3*k - 1. Calculate the remainder when 14 is divided by v(-3).
6
Let j = 33 - 17. Let o = -25 - -47. Let q = o + -13. What is the remainder when j is divided by q?
7
Suppose -2*q = 2 - 66. Let n be (276/18)/((-8)/12). Let f = n + 34. Calculate the remainder when q is divided by f.
10
Suppose -5*v - 72 = 3*u + 57, -2*v = 5*u + 44. Suppose -3*o = 4 - 1. Calculate the remainder when (-11 + o)*v/36 is divided by 5.
4
Suppose 0 = 4*i - 240 + 48. Calculate the remainder when i is divided by 17.
14
Suppose 0 = 3*v - 5*n - 5, -4*n - 1 = -2*v + 3. Calculate the remainder when 38 is divided by 13 + v*(-1)/(-3).
12
Suppose -3*z = 2*g - 269, 4*z + 6*g = g + 368. Calculate the remainder when z is divided by 22.
21
Let k(t) = -t - 5. Let q be 3/6*(1 + -3). What is the remainder when (-2 + 6)/(q/(-4)) is divided by k(-14)?
7
Suppose 4*g - 112 = -0*g. What is the remainder when g is divided by 6?
4
Let g = 72 - 41. Let l = 5 + 3. What is the remainder when g is divided by l?
7
Suppose 0 = 4*l + 6*a - 4*a - 90, 4*l = -3*a + 91. Suppose -c - l = -3*c. What is the remainder when 21 is divided by c?
10
Let c = 3 + 1. Suppose 2*a - o - o = 44, 0 = c*o + 8. Let k = 30 - 23. What is the remainder when a is divided by k?
6
Let z(x) = -x - 7. Let i be z(-6). Let n = i + 47. Calculate the remainder when n is divided by 16.
14
Suppose -s + 8*c = 3*c - 38, -4*c = -5*s + 169. Calculate the remainder when s is divided by 19.
14
Let n(q) = -q**3 + 6*q**2 + 7*q + 4. Let j(v) = 6*v**2 + 1 - v**3 - 3*v**3 + 3*v**3 - 4*v. Let w be j(5). What is the remainder when n(w) is divided by 16?
14
Suppose 0 = 2*n + 3 - 73. What is the remainder when n is divided by 9?
8
Let h(l) = -l**3 + l**2 + l + 9. Suppose 4*i + 20 = j + 4*j, -4*i + 2*j - 8 = 0. Calculate the remainder when h(i) is divided by (10/6)/((-1)/(-3)).
4
Let a(b) = b**3 + 2*b**2 + b + 50. Suppose -4*c + 2*s = -158, 144 = 5*c - 3*s - 55. Suppose -c = -5*w + 27. What is the remainder when a(0) is divided by w?
11
Let n = -7 + 14. Let v(h) = h**3 - 7*h**2 + 3*h - 9. Calculate the remainder when v(n) is divided by 7.
5
Let l(v) = -5*v - 9. Let t(r) = -17 - 16*r + 4*r**2 - r**3 + 4*r + r**2 + 10*r**2. What is the remainder when l(-6) is divided by t(14)?
10
Suppose -25 = 4*y - 49. What is the remainder when y is divided by 3?
0
Suppose -v - 11 = -119. What is the remainder when v is divided by 37?
34
Let r(d) = -d**2 - 5*d + 1. What is the remainder when (-2 - -3 - 0)*18 is divided by r(-3)?
4
Suppose 4*s - 88 = 4*w, -5*w + 2 = 7. What is the remainder when s is divided by 8?
5
Suppose -3*l + 84 = -0*l. What is the remainder when 109 is divided by l?
25
Let m = 80 - 70. Calculate the remainder when 19 is divided by m.
9
Suppose -12 = 5*z + 48. Let l = 40 + z. What is the remainder when l is divided by 11 + 2/(2/(-1))?
8
Suppose 0 = 5*w + 3*z - 438, -4*z - 82 = -w + z. What is the remainder when w is divided by 23?
18
Suppose n - o = 3*o + 31, 29 = n - 2*o. What is the remainder when 45 is divided by n?
18
Calculate the remainder when 3 + (12 - 1) + 4 is divided by 7.
4
Suppose -3*b + 26 = 2*k, -3*k - 7 + 46 = 4*b. What is the remainder when k is divided by 7?
6
Let a(o) = -o**2 - 3*o. Let q be a(-5). What is the remainder when 8 is divided by (2 + 0)/((-4)/q)?
3
Let b be 4/(-8)*0 - -4. What is the remainder when 29 is divided by b/10*(-8 + 28)?
5
Let t(y) = -y**2 + 6*y - 5. Let w be t(4). Suppose 2*n - 176 = -4*v - 3*n, -3*v + w*n + 159 = 0. What is the remainder when v is divided by 17?
15
Let t(y) = y**2 - 3*y - 8. Let s be t(6). What is the remainder when 50 is divided by 65*((-26)/s + 3)?
24
Let z = 274 + -173. What is the remainder when z is divided by 8?
5
Let r(a) = -a**3 + 5*a**2 - 2*a - 4. Suppose 3*m - 18 + 6 = 0. Calculate the remainder when 7 is divided by r(m).
3
Let d = 19 + 7. What is the remainder when d is divided by 9?
8
Let u(o) be the first derivative of -o**3/3 + 7*o**2 + 14*o + 10. Calculate the remainder when u(11) is divided by 16.
15
Let x(v) = 7*v**3 + 3*v**2 - 15*v - 2. Let h(p) = 6*p**3 + 4*p**2 - 14*p - 2. Let z(t) = -6*h(t) + 5*x(t). What is the remainder when 22 is divided by z(-10)?
10
Let h(l) = l**3 - 9*l**2 - 9*l + 10. Let u be h(10). Let o = u + 7. What is the remainder when o is divided by 10?
7
Let g(t) = -t + 14. Let h(s) = 3*s. What is the remainder when h(10) is divided by g(6)?
6
Suppose -5*b - 18 = -5*g - 123, 5*b + 2*g - 105 = 0. Calculate the remainder when b is divided by 12.
9
Let h(z) = -z**3 + 8*z**2 + 10*z - 5. Let x be h(9). Suppose -x*s + 18 = -2. Calculate the remainder when 17 is divided by s.
2
Let i = -46 + 104. Calculate the remainder when i is divided by 21.
16
Suppose -4*m = -9*m + 5. What is the remainder when (m - 1)/(-4) + 41 is divided by 11?
8
Calculate the remainder when 60 is divided by ((-3)/(-5))/((-1)/(-35)).
18
Suppose -2*v + 5*q = -0*q - 24, -3*v = -2*q - 25. What is the remainder when v is divided by 4?
3
Calculate the remainder when ((-18)/27)/((-1)/102) is divided by 35.
33
Suppose 5*l = 3*m - 4, 4*m + 0*l + l - 13 = 0. Suppose -m*k + 33 = -0*k. Let o = -1 + k. What is the remainder when 28 is divided by o?
8
Let r(t) = t**2 - t + 3. Suppose -2*n + 20 - 8 = 0. What is the remainder when r(5) is divided by n?
5
Let f(p) = -p**3 + 4*p**2 + 5*p + 7. Let u be ((-15)/4)/((-3)/12). Suppose -2*j + 11 = -u. Calculate the remainder when j is divided by f(5).
6
Let b = -2 + 7. Suppose b*p = 195 + 75. Suppose -106 = -4*n + p. Calculate the remainder when n is divided by 21.
19
Let h = -7 + 15. Let u = h + -4. Suppose u*m - 68 + 8 = 0. Calculate the remainder when 29 is divided by m.
14
Suppose 7*k - 4*k + 4*b + 9 = 0, 0 = -2*k - 3*b - 6. What is the remainder when (3 + -9)/(k/10) is divided by 7?
6
Let o(y) = y**2 + 15*y + 31. Let c be o(-13). Suppose -5 = -2*h + 29. Let t = h + c. What is the remainder when t is divided by 12?
10
Let v(w) = -w**3 + 9*w**2 - 7*w - 5. Let r be v(8). Calculate the remainder when 38 is divided by 40/12*(0 + r).
8
Let i(a) = -21*a + 3. What is the remainder when i(-3) is divided by 23?
20
Suppose 0 = 4*h - 2*c + c - 22, -5*h + 21 = 2*c. Suppose 50 = -h*l - 20. What is the remainder when (l/(-35))/(1/10) is divided by 2?
0
Suppose 0 = 10*w - 5*w - 105. Calculate the remainder when w is divided by 6.
3