se -3*f + c + 24 = -25, -2*c = -5*f + 81. Calculate the remainder when f is divided by 5.
2
Suppose -4*t + 85 = 2*k + 3, 2*t = -2*k + 36. Calculate the remainder when t is divided by 14.
9
Let s be 4/(-2) - (-9 - -2). Let t = s + -10. Let h(c) = c**3 + 5*c**2 - 2*c + 6. What is the remainder when 30 is divided by h(t)?
14
Suppose 4*k + 20 = 0, c - k - k - 44 = 0. Calculate the remainder when c is divided by 13.
8
Suppose -d - 51 = -5*j - 4*d, -3*j + 29 = d. Calculate the remainder when 15 is divided by j.
6
Let a(j) = -5*j + 3. Calculate the remainder when 11 is divided by a(0).
2
Let m be 0*(-1 - (-3 + 3)). Suppose m = -c - c + 24. Let l(q) = -q**2 + q + 35. What is the remainder when l(0) is divided by c?
11
Let n(j) = j**2 - 10*j + 4. Let i be n(9). Let u = i - -8. What is the remainder when 35 is divided by (-4)/(u/(-8 + -1))?
11
Let a be -7 - -45 - (-3)/(-1). Suppose -5*d = -80 - a. What is the remainder when d is divided by 6?
5
Suppose 3*n - 68 = -17. What is the remainder when 50 is divided by n?
16
Suppose -3*q = -2*w + 16, 4*q + 4 = w - 14. Let b be (-2)/(-5) - 54/10. What is the remainder when (-2)/b*(0 + 5) is divided by w?
0
Let y(v) = -v**2 - 7*v - 8. Let d be y(-6). Let q be 2/(d - 0) + -29. Let r = 69 + q. Calculate the remainder when r is divided by 20.
19
Suppose -2*v - v + 36 = 0. What is the remainder when 23 is divided by v?
11
Suppose 0 = 5*f - 12 - 23. Calculate the remainder when 24 is divided by f.
3
Let d(s) = 3*s**2 + 6*s + 8. Let t be d(-6). Let u = t - 41. Let x = 57 - u. Calculate the remainder when 52 is divided by x.
16
Let t = 1 + 5. Calculate the remainder when 29 is divided by t.
5
Let n = 154 + -144. Calculate the remainder when 49 is divided by n.
9
What is the remainder when (-26)/4*(0 + -2) is divided by 3?
1
Suppose 4*u - 3*y = 201, 6*u - 207 = 2*u - 3*y. Calculate the remainder when u is divided by 13/(2/(-1 - -3)).
12
Let k(y) = y**3 + 3*y**2 + 2*y. Suppose -f = -3*f - 6. Let j be k(f). What is the remainder when 9 is divided by (-2)/(-4) - 27/j?
4
Let b = -32 + 66. Calculate the remainder when b is divided by 18.
16
What is the remainder when 107 is divided by ((-9)/4)/((-2)/8)?
8
Let y = 44 + -14. Suppose 2*p - 6*p = -2*s + y, -64 = -5*s - p. Calculate the remainder when s is divided by ((-15)/(-6))/((-3)/(-6)).
3
Let g(v) = -9*v - 39 + 39. What is the remainder when 24 is divided by g(-1)?
6
Suppose 2*g = -0 + 14. Let x = 9 - g. Suppose -r - 4*d + 47 = -8*d, -5*d = -x*r + 82. What is the remainder when r is divided by 16?
15
Suppose 0 = 4*q - 2*u + u - 56, 5*q - 85 = 5*u. Suppose 2*b = 5 + 9. Calculate the remainder when q is divided by b.
6
What is the remainder when 5 is divided by 9 + -2 - (-1 - -3)?
0
Let q(j) = -4 + 10*j + 4 - 2 - j**2. Let p be q(9). Suppose u - p = 1. Calculate the remainder when u is divided by 5.
3
Let u = -4 - -24. Let x = -9 + u. What is the remainder when 53 is divided by x?
9
Let d = -15 + 45. What is the remainder when d is divided by 8?
6
Suppose -6*s = -3*s - 6. Suppose -4*v + 141 = 5*k - v, -62 = -s*k - 4*v. Calculate the remainder when 53 is divided by k.
26
Suppose 4*b + 171 + 145 = -3*h, -384 = 5*b + h. Suppose 5*m + 51 = -s + 2*m, -3*m + 102 = -2*s. Let u = s - b. Calculate the remainder when 49 is divided by u.
24
What is the remainder when 47 is divided by -1 - (1 + 1 + -15)?
11
Let s = 206 + -203. Calculate the remainder when 5 is divided by s.
2
Let p(y) = -y + 5. Calculate the remainder when 5 is divided by p(3).
1
Let y(b) = -b**3 + b**2 + 6. Let t(j) = -j**3 - 5*j**2 + 6*j. Let a be t(-6). Calculate the remainder when 21 is divided by y(a).
3
Let t = 13 + 5. Suppose c - 8 = -2*b - 3*c, -3*b = 2*c + 4. Let y = b - -14. Calculate the remainder when t is divided by y.
8
Suppose 2*j - 98 = -4*u, -4*u - u + 148 = 3*j. Let w(v) = v**3 - 3*v**2 + 2*v - 6. What is the remainder when j is divided by w(4)?
15
Let l(n) = -13*n - 5. Suppose 3*y - 65 = 118. What is the remainder when y is divided by l(-2)?
19
Let g = -948 - -598. Let s = -2 + -2. Calculate the remainder when (s/10)/(7/g) is divided by 7.
6
Suppose 0*r - r + 7 = 0. Let b = 36 - 32. Calculate the remainder when r is divided by b.
3
Calculate the remainder when 71 is divided by (15/(-5) + 2)*-37.
34
Let p(c) = -c**3 - 9*c**2 + 8*c - 8. Suppose 3*t + 4*a - 109 = 0, 2*t - t - 38 = -3*a. Calculate the remainder when t is divided by p(-10).
11
Let x(z) = 2*z**2 - 7*z + 7. What is the remainder when 87 is divided by x(4)?
10
Suppose 36 = 8*i - 84. What is the remainder when 71 is divided by i?
11
What is the remainder when 1*32 + (-7)/(56/24) is divided by 9?
2
Let r = -7 + 16. Let q be 4/(-10) + (-34)/(-10). Suppose 43 = 3*v + 4*w, v - w - q*w - r = 0. Calculate the remainder when 25 is divided by v.
12
What is the remainder when 20 is divided by 4*1*(-6)/(-4)?
2
Suppose 180 - 15 = 3*s. Suppose s = 2*x - 9. Suppose -l + 27 = -8*z + 3*z, -3*z = l - 11. What is the remainder when x is divided by l?
15
Suppose 0 = -3*s + 4*b + 40, 0*b + 3*b = -4*s + 95. Calculate the remainder when s is divided by 0 + 0 + -1 - -12.
9
Suppose v + 42 = 5*g - 4*g, -12 = 3*v. Calculate the remainder when g is divided by 10.
8
Suppose 4*t = -3*o + 10, -3*t + 0*t = -2*o - 16. Suppose 0 = 12*u + 11 - 179. What is the remainder when u is divided by t?
2
Let y(v) be the third derivative of v**4/24 + 2*v**3/3 + v**2. Let f be y(-2). Suppose a - 30 = -f*a. What is the remainder when 28 is divided by a?
8
Let q(n) = 23*n**3 + n**2 + n - 1. Let k be (-2)/(-3) - 2/(-6). Suppose 4*z - 1 = -t, -t + 3*t = 3*z + 35. Calculate the remainder when q(k) is divided by t.
11
Let q be -6*(-1 + (-2)/(-4)). Suppose -q + 21 = 3*g. Calculate the remainder when 11 is divided by g.
5
Suppose -243 = -5*m + 4*b - 18, -3*m + 133 = -2*b. Suppose 0 = -2*o - 9 + m. Let k = 14 - 8. Calculate the remainder when o is divided by k.
4
Let l be (3 + -2)/(2/4). Suppose k - 3*k = l*c - 20, 3*k - 30 = -c. Suppose 2*h + 0*h - 58 = 0. Calculate the remainder when h is divided by k.
9
Suppose -k + 7 = 2*o, 0*o - 4*k + 4 = -4*o. Suppose 7*m - o*m + 105 = 0. Let x = m - -47. What is the remainder when x is divided by 9?
8
Suppose -4*d + 36 = -4*p, -3*p - 15 = -2*d - 2*p. Let a(x) = -x**3 - x + 17. Calculate the remainder when d/(-9) - (-304)/6 is divided by a(0).
16
Suppose -5*k = -2*k - 9. What is the remainder when 6 is divided by k?
0
Let a(i) be the third derivative of -i**5/60 + 5*i**4/24 + i**3 + 2*i**2. What is the remainder when 17 is divided by a(5)?
5
Suppose l + 161 + 83 = 3*c, -c - l = -88. Let t(k) = k**3 + 7*k**2 + 5*k. What is the remainder when c is divided by t(-4)?
27
Let i = -46 + 64. What is the remainder when i is divided by 12?
6
Calculate the remainder when (-18)/153 + (-1874)/(-34) is divided by 14.
13
Let m be 0 + (0 + 2)/1. Suppose 2*l - 85 = -3*q, -q + 50 = m*q - 5*l. Suppose -39 = 2*c - 5*c. What is the remainder when q is divided by c?
12
Let t(o) = -10*o - 4. Suppose 3*y + 11 = -5*u, -13 = -0*u + 4*u + y. Let i be t(u). Let a = i - 16. What is the remainder when a is divided by 7?
6
Let w(k) = -k**2 - 26*k + 50. What is the remainder when w(-27) is divided by 13?
10
Let x(b) = -4*b**3 - 2*b**2 - b - 1. What is the remainder when x(-2) is divided by 14?
11
Suppose 0 = 5*a - 10 - 0. Calculate the remainder when 45 is divided by (-188)/(-12) + a/6.
13
Let m(h) = h**2 + 8*h + 2. Let u be m(-9). Let b(i) = 1 - u*i + 3 - 3. Calculate the remainder when b(-1) is divided by 7.
5
Let l = 7 + -4. Suppose c - 2 = l. Suppose 2*y + c = -m + 19, 3*m = 3*y - 30. What is the remainder when 22 is divided by y?
6
Suppose 0 = 5*d - 20, -46 = 5*s - 8*s - 4*d. Calculate the remainder when 47 is divided by s.
7
Let h = 55 + -50. Calculate the remainder when 9 is divided by h.
4
Suppose -4*z + 3*z + 35 = 0. Calculate the remainder when z is divided by 13.
9
Let r be 5*(1 - -6) + 0. Suppose -2*p = 3*p - r. Calculate the remainder when 19 is divided by p.
5
Suppose 0*u + 4*t + 8 = u, 1 = u + 3*t. Let z(v) = v**3 - 2*v**2 - 2*v + 5. Calculate the remainder when z(u) is divided by 10.
9
What is the remainder when (-1000)/(-24) - (-2)/(-3) is divided by 22?
19
Let h(b) = 2*b**2 - 2*b. What is the remainder when h(-4) is divided by 16?
8
Suppose 0 = 10*u - 2*u - 40. Calcu