. Suppose -5*v + 35 = -p*v. Calculate the remainder when k(6) is divided by v.
6
Suppose -3*a - 14 - 7 = 0. Let w(u) = -u**3 - 8*u**2 - 7*u + 8. Let f = -33 - -47. Calculate the remainder when f is divided by w(a).
6
Let z(v) = v + 13. Let p be z(-13). Suppose p*y + 6*y = 66. Calculate the remainder when 43 is divided by y.
10
Let r = 136 + -37. What is the remainder when r is divided by 21?
15
Let d = -15 + 18. What is the remainder when d is divided by 1?
0
Suppose 3*s = 6*s - 15. Suppose q - 12 = 2*g - 5*g, s*q - 26 = 2*g. Calculate the remainder when 10 is divided by q.
4
Let d(u) = -10*u - 2. Calculate the remainder when 44 is divided by d(-1).
4
Suppose -130 = -5*r - 3*a, 26 = -0*r + r + 2*a. Calculate the remainder when 49 is divided by r.
23
Let w = 7 + -1. Let u(t) = t**3 - t**2 - 2*t + 22. Calculate the remainder when u(0) is divided by w.
4
Let t(w) = -8*w - 21. Calculate the remainder when t(-9) is divided by 13.
12
Suppose 5*k = -j + 10 + 14, -2*k - 228 = -5*j. Calculate the remainder when j is divided by 12.
8
Let z = 19 - 18. What is the remainder when 19 is divided by z*(-3 - 2)*-1?
4
Suppose -2*k + 3*y - 11 = 0, 8 + 1 = 2*k + y. Suppose 3*x + 36 = 4*l, -k*l - 3*x + 27 = l. What is the remainder when 33 is divided by l?
6
Suppose 3*l + 39 = 4*o, -o - l = -3*l - 16. Calculate the remainder when 30 is divided by o/21 - 54/(-7).
6
Suppose -4*f + 213 = -f. Calculate the remainder when f is divided by 19.
14
Let d(i) = -14*i + 10. Let b(u) = -u**3 - 10*u**2 - 10*u - 12. Let h be b(-9). Calculate the remainder when d(h) is divided by 18 - ((-4)/2 + 2).
16
Suppose 5*c + s - 67 = -2*s, -3*c + s + 29 = 0. What is the remainder when 29 is divided by c?
7
Let c = -135 + 190. Calculate the remainder when c is divided by 14.
13
Suppose 0 = 4*y - 3*m - 13, 8*y - 3*y = -m + 21. Let i(p) = 3*p - 2 - y*p - 2. Calculate the remainder when 7 is divided by i(-7).
1
Suppose -2*i - 5 = 5*p, -2*p - 1 = 2*i + 1. Let z = 3 + p. Calculate the remainder when 28 is divided by (z/(-2)*-15)/1.
13
Let p(g) = g**3 - 2*g**2 - g + 2. Let j = 8 - 3. Suppose 20 = 2*z - 3*l, 3*l - l + 72 = j*z. What is the remainder when p(4) is divided by z?
14
Suppose -36 = -4*a - 4*i + 4, 59 = 5*a - 4*i. Let z = -11 + 23. Let o = -6 + z. What is the remainder when a is divided by o?
5
Let i(k) be the second derivative of -k**4/12 - 4*k**3/3 - 7*k**2/2 - 2*k. Let u be i(-7). Let d = 4 - u. Calculate the remainder when 10 is divided by d.
2
Suppose 7*y = 10*y - 69. Calculate the remainder when y is divided by 8.
7
Let j = 1 + 1. Suppose -2*p + j*r - 6*r - 8 = 0, 4*r = 3*p - 18. Suppose p*w = 3*d + 23, -3 = 5*w - 2*d - 88. What is the remainder when w is divided by 7?
5
Suppose 2*y = 10, -4 = -2*b + 2*y - 0*y. What is the remainder when 30 is divided by b?
2
Suppose 9*v - 64 = 5*v. Calculate the remainder when (-143)/(-3) + 4/(-6) is divided by v.
15
Let k = -3 - -6. Let u be 4/1 - (k + -1). Suppose -r + u*a = 4*a - 26, 52 = 2*r + 5*a. Calculate the remainder when r is divided by 9.
8
Suppose -2*t = -5*g + 111 - 14, 2*t = 3*g - 59. Suppose 3*p - g = q + q, -2*q = 10. Suppose -6*k + 39 = -p*k. Calculate the remainder when 38 is divided by k.
12
Suppose 2*i - 2*m - 15 = i, 10 = -i - 3*m. Let o(k) = -18*k - 2. Let a be o(-3). Suppose 6*n = 2*n + a. Calculate the remainder when n is divided by i.
3
Suppose 3*m - g = 25, -m + 70 = 4*m + 4*g. What is the remainder when 690/24 - 6/8 is divided by m?
8
Let l(v) = -v**2 + 12*v - 7. Let a be l(9). Suppose -4*p + a = -76. Suppose -o - 4*o + 65 = 0. What is the remainder when p is divided by o?
11
Calculate the remainder when 1128/30 + (-3)/5 is divided by 20.
17
Let h(s) = -5*s - 9. What is the remainder when h(-5) is divided by 9?
7
Suppose o - 3 = -5*r, 2*o + 13 = -r - 17. Let k = -9 - o. Calculate the remainder when k is divided by 5.
3
Let j be (-2)/(-9) - 68/(-18). Suppose 2*o - o - 3*t = 29, -j*o - 5*t = -167. Suppose 51 = 6*z - 27. Calculate the remainder when o is divided by z.
12
Suppose -5*p + 2*n = 5, 0 = 5*n - 0*n. Let w = 0 - p. What is the remainder when (w*3)/(6/92) is divided by 16?
14
Suppose 0*u + 1155 = 15*u. What is the remainder when u is divided by 13?
12
Let l(b) = 8*b - 9. Calculate the remainder when l(5) is divided by 16.
15
What is the remainder when (2/(-4))/(11/(-330)) is divided by 9?
6
Suppose -25 = -5*c, 0*c + c + 23 = 2*v. Calculate the remainder when 2*(-2 - ((-215)/2)/5) is divided by v.
11
Suppose 4*z + g = -0*z + 33, 11 = 3*z - 2*g. Let p = 15 - z. Let q(a) = -a**2 - 9*a - 6. What is the remainder when q(-4) is divided by p?
6
Let s be 6/10 - (-76)/(-10). Let a(u) = -u**3 + u**2 + 2*u - 3. Let h be a(-3). Let b = s + h. What is the remainder when b is divided by 11?
9
Let k(h) = h**2 + h + 1. Calculate the remainder when 48 is divided by k(-3).
6
Suppose 3*v - 29 + 8 = -5*n, -2*n = 0. Let x = 30 + -11. Calculate the remainder when x is divided by v.
5
Let y = -12 - -9. Let o be 2 + y + -2 + -4. Let w = o - -13. Calculate the remainder when w is divided by 3.
0
Suppose n + 4 = 8. Suppose 0 = -n*m + 8 + 32. Suppose m = 5*g - 70. Calculate the remainder when 31 is divided by g.
15
Let k(v) = -8*v**3 - 2*v**2 + 2*v + 3. Calculate the remainder when k(-2) is divided by 19.
17
Let n = -731 - -743. Calculate the remainder when (22/(-3))/((-4)/18) is divided by n.
9
Let z = -29 - -50. Let m = 7 - 0. What is the remainder when 49 is divided by m/(z/48) - 3?
10
Let g be (-2)/(-5) - 1209/(-15). Let l = -19 + g. What is the remainder when l is divided by 21?
20
Let v be (-270)/(-35) - 2/(-7). Let t = v - 2. What is the remainder when 11 is divided by t?
5
Suppose -3*n = -3*i - 21, 3*n = -4*i - 0*n - 28. What is the remainder when 57 is divided by -4*(2 + i)*1?
17
Let i = 14 + -10. Suppose 15 = l - r, l + 4*r + r = -15. What is the remainder when l is divided by i?
2
Let u = -66 + 91. Calculate the remainder when u is divided by 14.
11
Suppose -3 = 3*k - 4*k. Suppose r = -k*r + 32. What is the remainder when 30 is divided by r?
6
Let c = -58 - -110. Suppose 5*x - 79 = 11. Calculate the remainder when c is divided by x.
16
Suppose -4*o = -0*o - 16. Suppose 2*f - o*s - 12 - 2 = 0, -3*s = 0. Calculate the remainder when 11 is divided by f.
4
What is the remainder when 37 is divided by (-2)/(-16) - (3 + 1400/(-64))?
18
Let i(g) be the first derivative of g**3/3 - g**2 - 3*g - 2. Let f(a) = a - 1. Let m(l) = 4*f(l) - i(l). What is the remainder when 9 is divided by m(5)?
1
Let g(y) = 3*y - 8. Let d(w) = -w**3 - 3*w**2 - w + 4. Let q be d(-3). What is the remainder when g(q) is divided by (-2 + 0)/(4/(-14))?
6
Let d = -2 - -6. Suppose -3*r - 68 = -d*p, -2*r + 17 = p - r. Suppose 4*m = 0, l + 4*l + 5*m = 160. What is the remainder when l is divided by p?
15
Suppose -i + 0 + 2 = -o, 5 = -5*o + 4*i. What is the remainder when 32 is divided by (-64)/(-6) + 1/o?
10
Suppose -3*w = -i - 0*i + 39, -2*i - w = -43. Suppose -z = -i - 29. Let y(b) = 4*b - 2. What is the remainder when z is divided by y(5)?
17
Suppose 2*j + 0 = 8. Suppose 0 = -j*c + 31 + 5. Suppose -n = -3*n + 8. What is the remainder when c is divided by n?
1
Suppose 22*g - 106 = 21*g. Calculate the remainder when g is divided by 27.
25
What is the remainder when -1 + 3 - -3*17 is divided by 11?
9
Let p(b) = -7*b - 43. What is the remainder when p(-14) is divided by 20?
15
Let l be (-13 - -3)*8/10. Let i(u) = -2*u - 12. Let t be i(l). Suppose -y + 25 = t*y. What is the remainder when y is divided by 3?
2
Suppose 2*j = -2*j - p + 65, 3*p = -5*j + 83. Suppose 4*b - 109 = 5*z, 4*b + 97 + 4 = -5*z. Let k = z - -51. What is the remainder when k is divided by j?
14
Suppose -3*y + 28 = g + y, 4*y + 68 = 5*g. What is the remainder when 29 is divided by g?
13
Let g be (162/(-3))/((-1)/(-4)). Calculate the remainder when g/(-6 - -3) - 3 is divided by 18.
15
Suppose -3*c + 1 = -y, 5 = -0*y + 2*y + c. Suppose 24 + 22 = y*t. What is the remainder when t is divided by (-75)/(-9) - 1/3?
7
Suppose -3*i - 19 + 148 = 0. What is the remainder when i is divided by 15?
13
Suppose 0 = 2*l - 3*q - 24, -2*q - 55 = -4*l + 9. Calculate the remainder when 104 is divided by l.
14
Let u(l) = l**3 + 5*l**2 - 3*l - 7. Suppose 0*s + 10 = 2*s, -3*f + s = -10. Calculate the remainder when u(-5) is