 Let y(b) be the second derivative of -5*b**3/3 + b**2/2 + b. Calculate the remainder when y(v) is divided by 6.
5
Suppose 96 = 4*h + 2*w, -2*h - 2*w = -0*h - 52. Suppose -h = -2*y - 3*z, 5*y - 74 = 2*z - 0*z. What is the remainder when 54 is divided by y?
12
Suppose 3*c - 4*q = 380, -c - q + 118 = 2*q. Suppose -3*w + w + c = 0. Calculate the remainder when w is divided by 16.
14
Let d(v) = v**3 - 3*v**2 + v + 2. Let u be d(2). Suppose -3*f + 36 + 18 = u. Let b = 28 - f. What is the remainder when 28 is divided by b?
8
Let o(y) be the second derivative of y**4/12 - y**3/2 + 2*y. What is the remainder when o(-3) is divided by 7?
4
Suppose -4*h - 45 = -7*h. Let o be (-2)/(1 - 0) + 90. Suppose 0 = -a - a + o. What is the remainder when a is divided by h?
14
Let s(b) = -2*b**3 - 6*b**2 - 2*b. Let f be s(-4). Suppose -q - q + f = 0. What is the remainder when 59 is divided by q?
19
Let i = -46 + 59. Let h(f) = 51*f**3 - 2*f + 1. What is the remainder when h(1) is divided by i?
11
Let f = -19 + 30. Suppose n = 2*n - 3. Suppose 52 = n*u + j, j = u + 3*j - 9. Calculate the remainder when u is divided by f.
8
Let w(u) = -u**3 - 9*u**2 + 23*u + 27. Calculate the remainder when w(-11) is divided by 5.
1
Suppose 35 - 211 = -8*g. What is the remainder when g is divided by 5?
2
Suppose -3*c - 2 + 0 = 2*k, -2*k = -4*c + 16. What is the remainder when ((-34)/4)/((-1)/c) is divided by 5?
2
Suppose 0 = -s + 2*c - 5, 2*s - 5*c = -2*s - 5. Calculate the remainder when 14 is divided by s.
4
Suppose -u - u + 33 = -3*f, -36 = -2*u + 4*f. What is the remainder when 35 is divided by u?
11
Calculate the remainder when 156 is divided by (-742)/(-18) + (-42)/189.
33
Let r(j) = -j**3 + 6*j**2 + 7*j - 11. What is the remainder when 119 is divided by r(6)?
26
Let r(f) be the first derivative of 7*f**6/180 - f**3/3 - 2. Let s(b) be the third derivative of r(b). What is the remainder when 27 is divided by s(-1)?
13
Suppose 2*x - 3*x - 1 = 0. Let r be (1 - 1)/(2 + x). Suppose r = 5*w + 2*h - 181, -2*h + 33 = w - 0*h. What is the remainder when w is divided by 13?
11
Suppose -r - 2*r + 36 = 0. Let j = r - -1. Let s = 54 - 16. Calculate the remainder when s is divided by j.
12
Let r = 45 - 28. Let y be 4/(-22) + (-1062)/(-33). What is the remainder when r is divided by 4/(-10) + y/5?
5
Suppose 6*u = 1 + 11. Suppose -2*s = s - 6. What is the remainder when s is divided by u?
0
Suppose -4*d + 99 = -d. Suppose 2*w = -w + d. Calculate the remainder when 21 is divided by w.
10
Suppose 4*u = -3 + 123. What is the remainder when u is divided by 11?
8
What is the remainder when 61 + 6/(-8)*-8 is divided by ((-2)/3)/((-4)/102)?
16
Suppose -25 = 3*i + 4*h, -2*h + 17 = -2*i - 9. Let b = -1 - i. Calculate the remainder when 28 is divided by b.
8
Suppose 0 = -5*v - 0*v. Let q(m) = m**2 - 2*m + 3. Calculate the remainder when q(2) is divided by -2 - (-4)/(1 - v).
1
Suppose 0 = -5*z - 0*z + 10. What is the remainder when 21 is divided by ((-22)/(-4)*z)/1?
10
What is the remainder when 29 is divided by (128/12)/(2/3)?
13
Suppose 0*l + 4*l + p - 222 = 0, 161 = 3*l - 2*p. What is the remainder when l is divided by ((-2)/5)/(19/(-665))?
13
Suppose -5 = -3*c + 4. Suppose o = -3*b + 4, 0 = 5*o + 4*b - 34 + 3. Calculate the remainder when o is divided by c.
1
Suppose 0 = -13*x + 268 + 174. What is the remainder when 167 is divided by x?
31
Suppose -2*w - 3*f = 9, -w + 4*f = 3*w - 32. Let c = 45 - 65. What is the remainder when (32/c)/((-1)/5) is divided by w?
2
Suppose -3*m - 4 = -7*m - 4*n, -2*n + 5 = m. Calculate the remainder when ((-6)/(-4))/((-21)/(-56)) is divided by 0/(-1) - (1 + m).
0
Let w(j) = 3*j - 21. Let c be w(9). Let i = c + 7. Calculate the remainder when 37 is divided by i.
11
Let w(q) = 2*q**2 - 3*q - 1. Calculate the remainder when w(5) is divided by 19.
15
Let t(s) = -5*s**3 + s**2 + s. Let h = -6 - -5. Let n be t(h). Suppose 2*b = -10, n*a - 265 + 55 = -4*b. What is the remainder when a is divided by 16?
14
Suppose 4*j - 5*u = 55, 4*u - 3*u - 27 = -3*j. Suppose 4*n = -5*z + 149 + 11, 0 = -z + 5*n + 3. Calculate the remainder when z is divided by j.
8
Suppose 5*a = 2*c - 251, 2*a + 251 + 9 = 2*c. Calculate the remainder when c is divided by 27.
25
Let t = 33 + 10. Suppose -2*m + 17 = -13. What is the remainder when t is divided by m?
13
Suppose 0 = -x + 6. Suppose -3*i + x = -12. What is the remainder when 13 is divided by (-28)/(-6) - (-2)/i?
3
Let d(i) = i**3 - 7*i + 10. Calculate the remainder when d(4) is divided by 8.
6
Suppose -2*k - 15 = -5*k. What is the remainder when k is divided by 2 - 2/(2*-1)?
2
Let k be (-4)/14 - 4/(-14). Suppose v + 1 + 3 = k, -2*z + 80 = 5*v. Suppose 0 = -5*l + 86 - 1. What is the remainder when z is divided by l?
16
Let y be (-4)/2 - (-2 + 2). Let p be (-2 - y)/(-5 + 3). Suppose p*n = -2*t - 4*n - 8, 5*n = 4*t - 23. Calculate the remainder when t is divided by 1.
0
Let f = 33 - 61. Let v = f - -47. Calculate the remainder when v is divided by 6/(-2)*20/(-6).
9
Suppose -4*h - 5 = -5*h. Suppose -q + 16 = 3*q. Suppose 24 = 4*d - f, -h*f - 14 = -q*d + 26. Calculate the remainder when 14 is divided by d.
4
Let p be (176/(-10))/(3/15). Let j = p + 146. What is the remainder when j is divided by 15?
13
Calculate the remainder when 33 is divided by 16 - (3 - (1 + 3)).
16
Let z(r) = -r + 6. Suppose -51 = -3*y + 54. Calculate the remainder when y is divided by z(-6).
11
Suppose -2*d - 14 = -2*m, -2 + 7 = d + 2*m. Let c = 5 + d. Calculate the remainder when 2 is divided by c.
0
Let c be (6/5)/(10/25). Suppose 4*b - 204 = 2*v, 2 = -b + c*v + 43. Calculate the remainder when b is divided by 27.
26
Let h = 32 + 6. Let t = 115 + -113. Suppose 3*s = t*s + h. What is the remainder when s is divided by 10?
8
Let r(g) = -22 + 10*g**2 - g + 22. What is the remainder when 35 is divided by r(1)?
8
Let i(n) = 7*n**2 + 2 - 6*n**2 - 2*n + 0*n**2. What is the remainder when 76 is divided by i(6)?
24
Suppose 2*p = 3*y - 12, -2*p - 6 + 0 = -2*y. What is the remainder when 16 is divided by y?
4
Suppose -2*w + 87 = -5*v, -3*w + 5*w - 4*v - 86 = 0. What is the remainder when 80 is divided by w?
39
Let a = 57 + 25. What is the remainder when a is divided by 21?
19
Let k be 2 + -1 + 0 + -1. Suppose -y + 3*j + 45 = k, 2 = -4*j + 2*j. What is the remainder when y is divided by 15?
12
Let n = -186 + 311. What is the remainder when n is divided by 42?
41
Suppose 0 = -h - 4, -257 = 5*j - 4*h - 723. Suppose 0*o - j = -2*o. What is the remainder when o is divided by 16?
13
What is the remainder when (-25032)/(-140) + ((-12)/(-10) - 1) is divided by 20?
19
What is the remainder when 34 is divided by 3 - ((-4)/(-1) + -13)?
10
Suppose 3*s = 3*h - 3, -3*h + 0*h + s + 9 = 0. Suppose 4*r + 3 = 3*a, 2*r - h = 2. What is the remainder when 12 is divided by a?
2
Suppose -3*t - 5*r - 3 = 0, -r + 0 = -5*t + 23. Suppose t*b - 4*d = 52, 0 = 5*d - 2*d + 3. What is the remainder when 45 is divided by b?
9
Let q(k) be the second derivative of -k**3/6 + 5*k**2/2 - k. Calculate the remainder when (-2)/4 - 252/(-8) is divided by q(-6).
9
Suppose -3*z + 15 = -2*p - 5, p - 5 = 0. What is the remainder when z is divided by 6?
4
Let x = 42 + -35. Calculate the remainder when x is divided by 6.
1
Let j(a) = a**3 + 14*a**2 + 7*a + 12. What is the remainder when j(-6) is divided by 9?
6
Suppose -2*x + 3*t = -0*t - 68, -3*t = 3*x - 117. What is the remainder when 108 is divided by x?
34
Suppose -3*o = 2*o + k - 33, k = 2*o - 9. Calculate the remainder when o is divided by 4.
2
Suppose a - 44 - 49 = -4*d, 0 = a - 2*d - 105. What is the remainder when a is divided by 26?
23
Let h(g) = -4*g. Let q be h(-6). Suppose 28 = 4*f - q. What is the remainder when f is divided by 7?
6
Let o(d) = 5*d - 8. Calculate the remainder when o(5) is divided by 9.
8
Let r(b) = b**2 - 3*b - 2. Let q be r(4). Suppose -3 = i - 6, -q*i - 144 = -3*k. Let p = 10 + 7. Calculate the remainder when k is divided by p.
16
Let g = 7 + 4. Suppose 0 = 6*q - 7*q + 7. Calculate the remainder when g is divided by q.
4
Suppose -21 = -6*j + 3*j. Suppose 4*m - 2*h - 13 = -j*h, 0 = 4*m - 5*h - 43. Let r = 34 + -22. What is the remainder when r is divided by m?
5
Let c(k) = 3*k**2 + k + 1. What is the remainder when c(3) is divided by 17?
14
Let u(y) 