 What is the remainder when 76 is divided by v?
12
Suppose 4 = 2*d - 2. Suppose d*l - 4*g - 11 = -2*g, 0 = -4*l + 2*g + 16. Calculate the remainder when 19 is divided by l.
4
Suppose f - d - 82 = -4*f, 5*f + 3*d - 94 = 0. Calculate the remainder when 44 is divided by f.
10
Suppose 0 = r + 3, -4*r = -5*x + 112. Let m(b) = -b**3 - 8*b**2 - 3*b + 3. Let a be m(-4). Let q = a + 108. Calculate the remainder when q is divided by x.
19
Calculate the remainder when 47 is divided by ((-12)/5)/(3/(-30)).
23
Let n = -94 + 155. What is the remainder when n is divided by 21?
19
Let a = 60 - 28. What is the remainder when a is divided by 17?
15
Let h = -4 + 0. Calculate the remainder when ((-6)/h)/((-2)/(-60)) is divided by 23.
22
Let c(y) = -y**2 + 9*y + 14. Let g be c(10). Suppose -4*r = z - 104, 4*r - g*z - z - 128 = 0. Calculate the remainder when 80 is divided by r.
26
Suppose 0*t = 5*t - 55. What is the remainder when -6*(4/(-3) + -2) is divided by t?
9
Let f = 3 - -2. Suppose 11 - 81 = -f*x. Calculate the remainder when 41 is divided by x.
13
Suppose -21*p = -25*p + 20. Let b(r) = r**2 - 3*r + 3. What is the remainder when b(4) is divided by p?
2
Let c(s) = 5*s**2. Suppose 0 = -4*u + 6*u - 50. Suppose -u - 11 = -3*d. Calculate the remainder when c(-3) is divided by d.
9
Let g(o) be the third derivative of o**5/60 - o**4/8 - 5*o**3/3 + 6*o**2. Let d(a) = 11*a**2 - 1. Calculate the remainder when g(7) is divided by d(-1).
8
Let m(q) = q**3 + 5*q**2 + 2. Suppose -2*p = -6*p + 12. Suppose v = p*z + 33, -z + 51 + 68 = 3*v. Calculate the remainder when v is divided by m(-3).
19
Let j(r) = -r**2 + 7*r - 7. Let t be j(6). Calculate the remainder when 13 is divided by 0 + (8 - t) - 2.
6
Let z = -7 + 12. What is the remainder when 12 is divided by z?
2
Calculate the remainder when 112 is divided by (-2)/(-7) + (-402)/(-14).
25
Let w = 26 + -10. Calculate the remainder when 77 is divided by w.
13
Suppose 5 = -h - 3. Suppose 2*n + 26 = -w, -3*w - 3*n - 62 = -n. Let m = h - w. What is the remainder when 28 is divided by m?
8
Suppose -9*o - 780 = -13*o. Calculate the remainder when o is divided by 40.
35
Suppose 2*c = -3*v + v + 18, 4*c + 2*v = 38. Calculate the remainder when 58 is divided by c.
8
Suppose -374 = -22*j + 5*j. Calculate the remainder when 217 is divided by j.
19
Calculate the remainder when 27 is divided by (-150)/(-21) + 1/(-7).
6
Let y(i) = -i**2 + 10*i + 9. Calculate the remainder when 15 is divided by y(10).
6
Suppose 3*a + 14 = 4*a. Let z be 2*1*(1 + 0). Suppose z*x - 15 = 1. Calculate the remainder when a is divided by x.
6
Let d(x) = 3*x**2 + x + 7. What is the remainder when 59 is divided by d(-3)?
28
Suppose -4*m + 50 = -18. Suppose 2*j = j. Suppose f + 0*f - 33 = j. Calculate the remainder when f is divided by m.
16
Suppose 0 = b + b - 4*u - 16, 2*b - 5*u - 18 = 0. What is the remainder when 27 is divided by b?
3
Let i = 5 + 22. Suppose -3*a + 95 = -5*x, -8*x + 5*a = -3*x + 95. Let m = x + i. Calculate the remainder when 22 is divided by m.
6
Let r(w) = -1 + 2*w - 4 + 0*w + 2. What is the remainder when 27 is divided by r(5)?
6
Suppose 3*y - 30 = 3. Suppose -z = -y - 78. What is the remainder when z is divided by 30?
29
Let v(f) = -2 + 11 + 3*f - 2*f. Let g be v(-5). Calculate the remainder when (-102)/(-4)*g/6 is divided by 9.
8
Let s(f) = 11*f - 4. Suppose 5*l - 3*z - 105 = -4*z, 0 = -2*z. Calculate the remainder when s(4) is divided by l.
19
Let d(b) be the third derivative of -b**4/24 + 5*b**3/3 + 3*b**2. Let i be d(8). Calculate the remainder when 7 is divided by i - (0 + (-3 - -2)).
1
Let p(w) = 8*w**2 - w - 2. Suppose -4*i - 102 = -7*i. Calculate the remainder when p(2) is divided by (-2)/(-4)*i - 2.
13
Let u = 14 - -15. Suppose 0 = -16*k + 64 + 96. Calculate the remainder when u is divided by k.
9
Let u be (3 + 9)/(4/(-6)). Calculate the remainder when (-554)/u - 2/(-9) is divided by (-24)/2*8/(-6).
15
Let b be (-1 - 5) + (0 - -1). What is the remainder when 31 is divided by (-5)/b*(12 - 1)?
9
Let a = -76 + 99. Calculate the remainder when 91 is divided by a.
22
Suppose -20 = 3*s - 209. Calculate the remainder when s is divided by 32.
31
Suppose -4*m - 1 = 2*i - i, 4*m = 5*i - 91. What is the remainder when i is divided by 6?
3
Let k(p) = -p**2 + 9*p - 4. Suppose -3*v - 6 = -4*v. Let a(r) = -5*r**3. What is the remainder when a(-2) is divided by k(v)?
12
Suppose p + 43 = 4*a - 4*p, 0 = -a + 4*p - 3. What is the remainder when 50 is divided by a?
16
Suppose 3*y = -9, 4*l - 16 = 3*y + 1. Suppose -5*m + 2*b + 69 = 17, 0 = l*m - 2*b - 22. What is the remainder when m is divided by 3?
1
Suppose 3*h - 6*h = -24. Calculate the remainder when 37 is divided by h.
5
Suppose 4*u + 16 = -5*q, -3*q + 8 = 4*u - 4*q. Suppose u = -4*z + 13. What is the remainder when 1*-6*(-4)/3 is divided by z?
2
Suppose -3*q - q + 5*v = 8, 0 = -q - 2*v + 11. Calculate the remainder when 18 is divided by q.
0
What is the remainder when (1 - -2)/((-314)/64 + 5) is divided by 20?
12
Suppose -4*y + 37 - 1 = 0. Suppose 0 = 4*j + 20, 2*j + 1 = -3*i - 0*j. What is the remainder when 20/i*(-36)/(-15) is divided by y?
7
Let a be 12/9*(-27)/(-2). Suppose -a = 2*u - 5*u. Suppose 2*h - h - u = 0. Calculate the remainder when 11 is divided by h.
5
Suppose 5*t = 40 + 30. Let o(j) = -4*j. Suppose -33 = 4*u - 5*r, 0*u + u = r - 7. What is the remainder when t is divided by o(u)?
6
Let z(b) = -b**3 + 9*b**2 - 4*b - 8. Suppose 3*g + 3 = 0, -y + 2*y - 5*g - 13 = 0. What is the remainder when z(y) is divided by 13?
11
Suppose f - 5 = -1. Suppose 0 = -4*r + f*j + 12, -37 = -4*r + 2*j - 3*j. What is the remainder when 15 is divided by r?
7
Suppose -x + 48 = 4. Calculate the remainder when x is divided by 23.
21
Suppose 0 = -4*r + r + 5*w + 17, 5*r - 3*w = 23. What is the remainder when 11 is divided by r?
3
Let f be (10/(-4))/(1/(-2)). Suppose f*x = -4*y + 118, y - 20 - 17 = -5*x. Let a(u) = -u**3 - u**2 - 3. Calculate the remainder when y is divided by a(-3).
12
Suppose 6 - 45 = -3*u. Let n be 20/(-15)*6/(-4). Suppose 10 = n*l + 2*g + g, -4*l = 2*g - 20. Calculate the remainder when u is divided by l.
3
Let o = 78 + -48. Let g be 1/5 - (-78)/(-15). Calculate the remainder when ((-1)/2)/(g/o) is divided by 2.
1
Let m = 173 + -72. Calculate the remainder when m is divided by 21.
17
Let c(m) = m**2 - m - 4. Let i(a) = a + 12. What is the remainder when c(5) is divided by i(-6)?
4
Let q(r) = 3*r**3 + 3*r**2 - 3*r + 3. Let x(z) = z**3 + z + 9. Calculate the remainder when q(2) is divided by x(0).
6
Suppose -4 - 4 = -b + c, -4*b - 4*c = -40. Let j = -2 - -6. Suppose 3*y + 2*r = 59, y + y = j*r + 18. What is the remainder when y is divided by b?
8
Let p be (12/(-15))/((-3)/15). Calculate the remainder when p/(-14) + (-909)/(-21) is divided by 9.
7
Let q be (-1)/(1*2/(-10)). Suppose -37 = -2*r - q*t + 13, -r + 3*t + 14 = 0. Calculate the remainder when 77 is divided by r.
17
Suppose -1 = 2*h - 7. Let w(t) = t - 2. What is the remainder when h is divided by w(4)?
1
What is the remainder when 91 is divided by (1/((-6)/(-186)))/1?
29
Suppose 4*r = 15*d - 17*d + 30, -3*d + 24 = -r. Calculate the remainder when d is divided by 2/(-8) - 21/(-4).
4
Let l(d) = d - d**3 + 2*d**2 - 2*d + 2*d**2. Suppose -5*s + s + 12 = 0. Calculate the remainder when 10 is divided by l(s).
4
Suppose 0 = 3*x - 1 - 59. Let j = -12 + x. Calculate the remainder when (5 - (6 - -1))*-15 is divided by j.
6
Let j(c) = -c**3 - 2*c**2 - 1. Calculate the remainder when 22 is divided by j(-3).
6
Let h(r) = r + 1. Let j be h(2). Suppose -5*m - j*p + 507 = 0, m + p = -m + 203. Calculate the remainder when m is divided by 26.
24
Suppose -3*o + 18 = -2*c, -c - 4 = -2*o + 3*c. What is the remainder when 22 is divided by o?
6
Let c = -20 - -47. What is the remainder when c is divided by 8?
3
Let j = -1 - -5. Suppose j*q = -q - 15, 2*q + 96 = 5*o. Suppose -4*n + 2*x + 161 = -3*x, -25 = 5*x. What is the remainder when n is divided by o?
16
Suppose 0 = -4*y + 3*y + 4*h + 4, 56 = 2*y + 4*h. Suppose 0 = -2*g - 2*g + y. What is the remainder when (2 + 4)*3/2 is divided by g?
4
Let b = -24 - -47. Let j be (-2)/(-6)*663/17. Suppose 4*h - 19 - j = 0. What is the remainder when b is divided by h?
7
Let t be (11 + -11)/(-3 + 1). Suppose 3*