e third derivative of 5*r**4/12 - 5*r**3/6 - 2*r**2. What is the remainder when b(2) is divided by 8?
7
Suppose -2*k - 4*n = -30, -5*k - 2*n + 5*n + 49 = 0. Calculate the remainder when k is divided by 3.
2
Suppose t + 5*d - 240 = -4*t, 3*d - 58 = -t. Calculate the remainder when t is divided by 12.
7
Let r(z) = -11*z**2 - 6*z - 20. Let a(u) = 4*u**2 + 2*u + 7. Let y(c) = 17*a(c) + 6*r(c). Calculate the remainder when y(-1) is divided by 1.
0
Suppose 0*m = -m + 1, x = 3*m - 143. Let f = -95 - x. Calculate the remainder when f is divided by 16.
13
Let w(t) = 36*t**2 - t. Suppose -3*f + 41 - 1 = -u, 4*f + 5*u - 47 = 0. What is the remainder when w(-1) is divided by f?
11
Calculate the remainder when 29 is divided by 158/14 - (-18)/(-63).
7
Suppose 3*u + 4 = 2*b + 22, 3*u = b + 15. What is the remainder when u is divided by 2?
0
Let p(z) = z - 3. Let t = 8 + -5. Let q(m) = 2*m**2 + 3*m - 1. What is the remainder when q(t) is divided by p(10)?
5
Suppose -2 = 2*x, t - 6*t + 63 = 2*x. What is the remainder when 36 is divided by t?
10
Let w(k) = k**2 + 7*k + 58. Calculate the remainder when w(-12) is divided by 30.
28
What is the remainder when 88 is divided by 3 + (-1)/(-1) - -2?
4
Suppose b + 5 = 4*b + 2*z, -3*z - 25 = -2*b. Suppose -2*n + 0*n = -4*p + 78, -4*p + n + 77 = 0. Calculate the remainder when p is divided by b.
4
What is the remainder when 1/4 - (-70)/8 is divided by 6?
3
Let n = 2 + 5. Let r = 0 + 0. Suppose 0 = 2*k - r*k - 24. Calculate the remainder when k is divided by n.
5
Suppose 2*u + 2*y = 48, -u - 4*y - 29 = -2*u. Suppose 0*q + q - 21 = 0. Let n = u + q. Calculate the remainder when n is divided by 16.
14
Suppose -23*q + 114 = -20*q. What is the remainder when q is divided by 6?
2
Suppose 0 = -4*g - g + 45. Calculate the remainder when g is divided by 4.
1
Suppose 4*n - 6 = 5*x - 20, n + 9 = 4*x. Let c = 10 - n. What is the remainder when c is divided by 6?
5
Let q be 6/8 - (-10)/8. Suppose 3*p = -3*o + 57, -q*o + 70 = 8*p - 4*p. Calculate the remainder when 30 is divided by p.
14
Suppose 0 = -h - 3*h + 36. Suppose -t + 0*v = -v - 100, 2*v = 0. Suppose 2*u + t = 6*u. Calculate the remainder when u is divided by h.
7
Let v(k) = -k**3 - 2*k**2 - 5. Let j be v(-3). Suppose -j*f - 5*a = -9*f + 150, -f + 5*a = -26. What is the remainder when 59 is divided by f?
28
Suppose -13*x - 80 = -18*x. What is the remainder when 29 is divided by x?
13
Suppose -15 = v - 41. Suppose 0 = -5*q + 22 + 23. Let w = q + 0. What is the remainder when v is divided by w?
8
Suppose -3*m - l = -m + 3, -l - 3 = -3*m. What is the remainder when (-1)/(m - 1/47) is divided by 24?
23
Suppose -f + 0*f + 3*z = -43, 0 = f - z - 49. Calculate the remainder when f is divided by 18.
16
Let c = -5 + 12. What is the remainder when 26 is divided by c?
5
Let u = 9 + -6. Let n(c) be the second derivative of c**5/20 - c**4/6 + 2*c**3/3 - 3*c**2/2 + 3*c. What is the remainder when n(2) is divided by u?
2
Let z = 9 - 6. What is the remainder when (-6 - -17)/(z/9) is divided by 12?
9
Let z = 33 + -13. Calculate the remainder when z is divided by 6.
2
Suppose 0 = -2*q + 3 + 11. What is the remainder when 33 is divided by q?
5
Suppose -3*l = 2*l - 25. Let d = -10 - -14. Suppose -v - d*v = -l. What is the remainder when 1 is divided by v?
0
Let w(z) = -z**2 - 12*z. What is the remainder when 106 is divided by w(-6)?
34
Let t(a) = a**3 - 10*a**2 + 14*a + 8. What is the remainder when t(9) is divided by 28?
25
Let x = -10 - -9. Let s = 16 + x. Calculate the remainder when 28 is divided by s.
13
Suppose j = 2*j. Suppose -4*x - c + 18 = -j*x, -c + 14 = 3*x. Calculate the remainder when 11 is divided by x.
3
Suppose 0*h - 3*h = 4*n - 12, -4*h + 9 = 3*n. Let t(z) = -z**2 - 9*z + 10. What is the remainder when t(-6) is divided by 8 - (2 + -4) - h?
8
Suppose 4*w + 22 = 6*w. Suppose -5*l + 2*o = -52, 6 = -l + 3*o + 19. Let u = 14 - l. Calculate the remainder when w is divided by u.
3
Let k be 2 + -10 - 1*-2. Let a(f) = -12*f + 1. Let l = 15 - -4. Calculate the remainder when a(k) is divided by l.
16
Suppose -3*b = 6, 7*i + b - 6 = 3*i. Suppose 71 = 4*k - 3*f, f + 52 = 4*k - k. Calculate the remainder when (i/4)/((-2)/(-132)) is divided by k.
16
Suppose 2*o - 138 = -o. Calculate the remainder when o is divided by 24.
22
Suppose 2*n - 3*n + 9 = 0. Suppose -n = 3*p - 4*p. Let s = 13 - p. Calculate the remainder when 11 is divided by s.
3
Let a(u) = u**3 - 9*u**2 + 8*u - 15. Let z(f) = 16*f**3 - 1. What is the remainder when a(9) is divided by z(1)?
12
Let w = 2 + 2. Suppose w = t - 7. Calculate the remainder when 20 is divided by t.
9
Let f(q) = q**2 - q + 17. Suppose -6*j = -8*j + 18. Calculate the remainder when f(0) is divided by j.
8
Let s(w) = w + 9. Let h = 83 + -128. Let x = h - -78. Calculate the remainder when x is divided by s(8).
16
Suppose -4*h + 3*k + 25 = 0, 11 = -5*h - 4*k + 81. Suppose -3*g = -5 - 1. Suppose -j + g = -2. Calculate the remainder when h is divided by j.
2
Let g be (-77)/2 - 9/6. What is the remainder when 32 + 2 + 2/2 is divided by 2 - g/(4 - 0)?
11
Let v(m) = 21*m + 20. What is the remainder when v(6) is divided by 25?
21
Let a be (0 + -1)*-2 + 4. Suppose 5*z = -2*v + a*v - 1, -v + 16 = 4*z. Calculate the remainder when 7 is divided by z.
1
Suppose -3*g - 2 + 50 = 0. Let v be (24/g)/((-3)/(-4)). Suppose -2*o = v*t - 52, 0 = -4*t + o + 81 + 48. Calculate the remainder when t is divided by 8.
7
Let f = -12 + 22. Let c = 41 - 22. Calculate the remainder when c is divided by f.
9
Let y = 64 + -34. Let w be 1/(-3) + y/9. Suppose -w*r + 40 = r. Calculate the remainder when 39 is divided by r.
9
Suppose 0 = 5*q + 3*h - 96, -2*q + 44 = -0*q + 4*h. What is the remainder when 50 is divided by q?
14
Let d(b) be the second derivative of -b**4/12 + 7*b**3/6 - b**2/2 - 2*b. Let m(h) = -h**2 + 5. What is the remainder when d(5) is divided by m(0)?
4
Suppose -4*m - 15 = -9*m. Let f be (17 - 0)/(-5 - -4). Let n = m - f. Calculate the remainder when n is divided by 11.
9
Suppose -2*o - 34 - 16 = 0. Let a = 47 + o. Let y = 17 - 9. What is the remainder when a is divided by y?
6
Let q = 41 - 24. Calculate the remainder when 65 is divided by q.
14
Suppose 5*u - 19 = -2*m, -4*u - 26 = -4*m - 2. Let h be 7/(-3) - 4/6. Let c = 0 - h. What is the remainder when m is divided by c?
1
Suppose -4 = 4*x + 16, 4*x = c - 42. What is the remainder when c is divided by 8?
6
Suppose 10*h - 4 = 11*h. Let k(l) = 2*l**2 + 3*l + 3. What is the remainder when k(h) is divided by 6?
5
Let u(s) = -s**3 - 5*s**2 + 5*s - 6. Let q be u(-6). Suppose -12 = -2*h - q. Let x(i) = i**2 + 17. What is the remainder when x(0) is divided by h?
5
Let i(n) be the third derivative of n**5/60 + n**4/4 + n**3 + n**2. What is the remainder when 3 is divided by i(-5)?
0
What is the remainder when (0 - 0) + 8 + -2 is divided by 4/(-2) + (-18)/(-3)?
2
Suppose -128 = -2*h - 2*h. Suppose -3*q + 5*t = -23, t + t + h = 5*q. Suppose -3*k + 37 = -11. Calculate the remainder when k is divided by q.
4
Let o(r) = r - 1. What is the remainder when o(6) is divided by 3?
2
Calculate the remainder when 48 is divided by 51*(4 - 3)/3.
14
Let j = -40 + 66. Suppose 5*w - j = 4*m - 6*m, -w = 2*m - 18. Calculate the remainder when 22 is divided by m.
6
Let q(l) = 6*l**3 - 2*l**2 + 1. Let f be q(1). Suppose d + 149 = f*g - 2*d, -2*g - 4*d = -44. What is the remainder when g is divided by 15?
13
Suppose -1023 = -8*l - 343. Calculate the remainder when l is divided by 22.
19
Let p = 94 + -51. What is the remainder when p is divided by 11?
10
Let y be 22/(-77) + 44/7. Suppose -l + 55 = -5*k, -4*l - k = -359 + 76. Suppose 5*c - a - l = 2*a, -a = c - y. Calculate the remainder when c is divided by 4.
3
What is the remainder when 103 is divided by 21/6*(-8)/14 - -15?
12
Suppose 0 = 3*q - 30 - 30. Calculate the remainder when 78 is divided by q.
18
Calculate the remainder when 18 is divided by 22/(-1 + (-1 - -4)).
7
Let n = 16 + -4. Suppose -3*q = -4*i - 61 - 27, 0 = -2*q + 8. Let w = -12 - i. Calculate the remainder when n is divided by w.
5
Let z(h) = -h**2 + 9*h - 2. Let l be z(7). Let y = 6 + l. Suppose -6*t + y = -3*t. What is the remainder when 10 is divided by t?
4
Suppose -4*s + 54 = 10. Let z be -4*(-3 - 14/(-4)). What is the remainder 