divided by 3.
2
Suppose 2*w = 4*t - 74, t + 5*w = 5*t - 71. Calculate the remainder when 32 is divided by t.
13
Suppose -7*y = -2*y + 55. Let r = 43 + y. What is the remainder when 53 is divided by (r/24)/(2/21)?
11
Let a(o) = -o + 10. Let r be a(5). Suppose f - 4*j + 6*j - 8 = 0, -5*j + 20 = r*f. What is the remainder when 5 is divided by 4 + -2 + f/(-3)?
1
Suppose -110*c - 150 = -115*c. Let q(k) = k**3 - k**2 + 58. Calculate the remainder when q(0) is divided by c.
28
Let f(z) = z**3 - 4*z**2 - 1. Let c be f(4). Let k = 14 + -119. Calculate the remainder when (c + k/(-6))*2 is divided by 17.
16
Let v be 6/(-9) - (-16)/6. Suppose 0 = -28*u + 26*u - 6. Calculate the remainder when 54 is divided by (11 + v - u) + -2.
12
Suppose -6*i - 20 = -i. Let w = 0 - i. Let j(n) = n + 2. Calculate the remainder when 17 is divided by j(w).
5
Let z be 666/12 - (-1)/2. Suppose -3*w - z = -8*w + 2*i, 2*i = 2*w - 20. Let o = -12 - -46. Calculate the remainder when o is divided by w.
10
What is the remainder when 84 is divided by 2*((-33)/(-2) - 2)?
26
Suppose -r - 13 + 101 = 0. Calculate the remainder when r/(-6)*(-1 + -2) is divided by 23.
21
Let z(x) = x**3 + 8*x**2 - 12*x - 3. Suppose -f + 2*b - 22 + 7 = 0, 0 = -5*f - 3*b - 36. What is the remainder when z(f) is divided by 13?
11
Suppose 6*v - 68 = 2*v. Suppose l = -3*l + 132. What is the remainder when l is divided by v?
16
Suppose -42 = -0*s - 3*s. Suppose 114 = -2*f + 5*f - 3*y, -5*f - 4*y + 208 = 0. Calculate the remainder when f is divided by s.
12
Let r(o) = 48*o - 2. Suppose b + z + z - 6 = 0, 5*b - 55 = -5*z. What is the remainder when r(1) is divided by b?
14
Suppose -2*f = 2*x - 3*x + 26, -4*x = 2*f - 124. What is the remainder when 117 is divided by x?
27
Suppose -4*w = -5*w + j + 5, -5*w + 2*j = -13. Calculate the remainder when 2*(-3)/6*-1 is divided by w.
0
Suppose 2*x = 5*g + 47, 5*x - 2*x + 5*g = 8. Suppose -2 = -3*b + 1. Let f(w) = 31*w + 1. Calculate the remainder when f(b) is divided by x.
10
Let x = 18 + 3. Suppose -17*a = -x*a + 104. What is the remainder when a is divided by 7?
5
Calculate the remainder when 46 is divided by ((-4)/2 - -1)/((-7)/112).
14
Suppose -2*w + 0*w = 3*p - 25, -4*p = -4*w. Suppose -a - 1 = 3*c - 50, w*a - 35 = -c. Calculate the remainder when 44 is divided by c.
14
Let n = -6 + 3. Let d = n - -17. Calculate the remainder when d is divided by 8.
6
Suppose -12 = 8*l - 164. What is the remainder when 56 is divided by l?
18
Suppose 0 = -t + 3*t - 6. Calculate the remainder when 14 is divided by t.
2
Suppose 0 = 2*u + 4*l - 22, -l = u - 2*u + 5. Calculate the remainder when 48 is divided by u.
6
Suppose 0 = -3*j + 4*g + 155, -j + 3*g + g = -57. What is the remainder when j is divided by 18?
13
Let b = 6 + -1. Suppose -3*u = -b*v + 69, 2*u = -v - 0*u + 6. What is the remainder when 33 is divided by v?
9
Let w(z) = -z**3 - z + 2. Let a(l) be the third derivative of l**6/30 - l**4/24 - l**2. Let q be a(-1). Calculate the remainder when w(q) is divided by 11.
10
Suppose -t + 12 = 2*t. Calculate the remainder when 14 is divided by t.
2
Suppose 5*t - 4 - 16 = 0. Let n = 66 + -64. Calculate the remainder when t is divided by n.
0
Let q be 1*(2 - 0)*-2. Let u = q - -8. Suppose d = 4*j - 24, -j + 2*j - d = 3. Calculate the remainder when j is divided by u.
3
Suppose 2*v + 106 = 5*f, 3*v - f - 125 = 6*v. Let q be 9*((-87)/9 + 1). Let d = v - q. What is the remainder when d is divided by 12?
11
Let w(y) = 12*y - 1. Let t be w(1). Let l = t + -6. Suppose -2 = -u + l. What is the remainder when 25 is divided by u?
4
Let a be ((-2)/(-4))/(2/16). Suppose -2*l + a = -4. Calculate the remainder when 7 is divided by l.
3
Let u(g) = g**3 - 3*g**2 + g - 3. Let l be u(3). Suppose 69 = 5*s + 4*x - 5*x, l = s + 5*x + 7. Calculate the remainder when 49 is divided by s.
10
Let c(r) = 2*r**2 - 2*r + 2. Suppose 13*q - 15*q + 22 = 0. Calculate the remainder when c(5) is divided by q.
9
Let s = -7 + 10. What is the remainder when 24 is divided by -1*(-4 - 23)/s?
6
Let i(x) = -8 - x**3 - 2*x + 14 + 6*x**2 - x**2. Let j be i(4). Calculate the remainder when 25 is divided by 2*3*j/6.
11
Let x = -13 + 20. Let j(l) = -l - 2. Let g(p) = p + 1. Let r(y) = -4*g(y) - 3*j(y). Calculate the remainder when x is divided by r(-2).
3
Suppose -4*n + 4*k + 5 = -31, 0 = n + 2*k. Let a = 27 + -12. Let z = a - -1. Calculate the remainder when z is divided by n.
4
Suppose 4*m - m + 2*s - 65 = 0, 0 = 3*m - 4*s - 95. Suppose 27 = 2*n + n. Calculate the remainder when m is divided by n.
7
Let q(f) = -19*f - 8. Let y be q(8). Let v be -1*(y*1)/2. Suppose m = 4, -2*p - 2*p + v = 4*m. Calculate the remainder when 63 is divided by p.
15
Suppose s - 5*s = 16, 3*u - 181 = 4*s. Let q = u + -1. What is the remainder when q is divided by 14?
12
Let j = -4 - -4. Let h(v) = 14*v + 2. Let d(o) = -5*o - 1. Let t(w) = -11*d(w) - 4*h(w). Calculate the remainder when t(j) is divided by 1.
0
Suppose 2*u + 5 = 3. Let q(g) = -7*g**3 + g + 1. Let z = 0 + 4. Calculate the remainder when q(u) is divided by z.
3
Let v(u) = -u**3 - 8*u**2 - 10*u - 7. Let m be v(-7). What is the remainder when (m/21)/((-6)/(-477)) is divided by 14?
11
Suppose 4*x = -4*v + 104 - 44, -4*x = -3*v + 24. Let i be 608/v - 4/6. Suppose 0*z + i = 5*z. What is the remainder when 19 is divided by z?
9
Let o(g) = g**2 + g + 1. Let j(d) = d**2 + 5*d - 9. Let m(b) = j(b) + 2*o(b). Calculate the remainder when m(-6) is divided by 20.
19
Suppose -5*s - 4*o - 117 = 0, -2*s + 4*o = -14 + 72. Let k = s + 61. Let j(l) = 2*l + 13. What is the remainder when k is divided by j(3)?
17
Suppose -677 = -5*t - 5*f - 5112, 2*t + 1772 = -4*f. What is the remainder when (-2)/6*t/8 is divided by 13?
11
Suppose g - 25 + 3 = 0. What is the remainder when g is divided by 6?
4
Let r = 2 - -5. Let d be (-2)/r + 288/28. Calculate the remainder when 32 is divided by (-4)/d - 174/(-10).
15
Let c = -9 - -36. Calculate the remainder when c is divided by 7.
6
Let x = 9 + -1. Calculate the remainder when 22 is divided by x.
6
Let j be (-4)/1 + (-490)/(-5). Let k = -36 + j. Suppose a = 5*l - 104, -5*l + a + 88 = 4*a. Calculate the remainder when k is divided by l.
18
Suppose -3*u = -2*u. Let z = u + 10. Let v = z + 0. Calculate the remainder when 19 is divided by v.
9
Suppose -9 = -3*b - 0. Let y be (-5)/(-3)*(25 + -1). Suppose -b*p = p - y. What is the remainder when p is divided by 4?
2
Let d = -13 + 14. Suppose 2*k = 2*s - 0*k - 16, 5*s + 3*k = 0. Suppose -4*x - 5 = -5*x, -2*r + s*x - 11 = 0. Calculate the remainder when r is divided by d.
0
Let o be (-2)/((-114)/(-29) + -4). Let q = o - 27. Calculate the remainder when q is divided by (2 + 1)*(-4)/(-6).
0
Suppose -99 = -5*d + d - 5*t, 2*d + 2*t = 52. Let q(o) = o + 3. Calculate the remainder when d is divided by q(8).
9
Let q(g) = -g**3 - 10*g**2 + 10*g + 22. What is the remainder when q(-11) is divided by 7?
5
Let v = -87 - -60. Calculate the remainder when (-1)/(30/v - -1) is divided by 6.
3
Let u be 2 - ((-3)/3)/(-1). Let g be u/2*-1*16. Let r = 39 + g. Calculate the remainder when r is divided by 11.
9
Let u = -20 - -37. Let b(w) be the first derivative of w**3 - 2*w - 7. What is the remainder when u is divided by b(-2)?
7
Suppose 6*s = 5*s + 3. Suppose -2*n + 10 = -s*z, 2*z = -n - 3*z + 18. Let h = 63 + -41. Calculate the remainder when h is divided by n.
6
Let u(a) = 2*a + 6. Suppose 5*d = -35 + 15. Let m be u(d). Let x = 7 - m. Calculate the remainder when 25 is divided by x.
7
Suppose -2*y = 3*t - 31, -3*y - 32 = -4*t - y. Let l be 1/(3/30*1). Calculate the remainder when 1/(-5) + 252/l is divided by t.
7
Suppose -28 = -3*v + 2*x, -5*v + 5*x + 25 = 6*x. Calculate the remainder when 6 is divided by v.
0
Let v = 42 + -64. Let z = v + 31. Suppose -4*g + 58 = 5*j, -4*j - 16 = -g + 9. What is the remainder when g is divided by z?
8
Let y(f) be the third derivative of -f**2 - 1/60*f**5 + 0*f + 5/12*f**4 + 0 - 5/6*f**3. Calculate the remainder when y(7) is divided by 9.
7
Suppose -2*o = 15 - 39. Calculate the remainder when (o + 0)/((-4)/(-14)) is divided by 11.
9
Let n(k) = 2*k**3 + 3*k**2 - 3*k - 1. What is the remainder when n(2) is divided by 7?
0
Let i(t) = 52*t - 9. What is the remainder when 171 is divided by i(1)?
42
Suppose 91*d - 92*d