y (-1 + 8/20)*-10.
5
Let y(b) be the third derivative of b**5/60 + b**4/8 - 7*b**3/6 - b**2. Suppose -55 + 27 = 4*f. What is the remainder when y(f) is divided by 6?
3
Suppose 3*i - 38 = -2*y, 0*i - 8 = 2*i. What is the remainder when 72 is divided by y?
22
Suppose 5*n + 22 - 7 = 0, -4*n = -5*w + 27. Suppose -3*o = 2*s - 75, -7*s + w*s = o - 155. Calculate the remainder when s is divided by 20.
19
Let i = 35 + -7. Let r = 52 - i. What is the remainder when 46 is divided by r?
22
What is the remainder when (0 + -136)*(-1)/2 is divided by 36?
32
Let w = -27 + 38. Calculate the remainder when (44 - 2) + (-31 - -32) is divided by w.
10
Let x = 84 + -60. What is the remainder when (-4)/(8/3)*-30 is divided by x?
21
Let r(b) = -b**2 - 7*b + 8. Suppose 5*v - 20 = 5*d - 5, 0 = 2*v - 3*d - 4. Calculate the remainder when r(-7) is divided by (-6)/v*10/(-4).
2
Suppose m = -10*m + 198. Calculate the remainder when 35 is divided by m.
17
Let p(t) = t**2 + 10*t + 2. Let y be p(-9). Let c = -10 - y. Calculate the remainder when 6 is divided by -1*((-2)/(-2) + c).
0
Let z be 24/14 + 2/7. Suppose 0 = -2*o - 0*o - 2. Calculate the remainder when 1 is divided by 2 - (z - (o + 2)).
0
Let z(m) = -m - 2. Let q(u) = -4*u**3 - 2*u**2 + u. Let v be q(1). What is the remainder when 17/2 + v/10 is divided by z(-7)?
3
Suppose -5*j + 3*p - 10 = 0, j - 3*p = -8*p - 2. Suppose -2*c + 73 = 5*l, -4*l - 100 = -9*c + 4*c. What is the remainder when c is divided by 1 + 1 + 13 + j?
11
Let a(g) = g**3 + 12*g**2 - 3*g - 21. What is the remainder when 102 is divided by a(-12)?
12
Suppose -5*g - 4*d + 1 = 9, -3*d - 7 = 4*g. Let t(q) = 4*q - 3. Let i be t(g). Let h = -6 - i. Calculate the remainder when 38 is divided by h.
12
Let z(p) = -3*p + 17. Let g(v) = v - 3. Let r be g(3). Suppose y - 5*y + 16 = r, 0 = 5*a + 5*y - 95. What is the remainder when z(-9) is divided by a?
14
Suppose 0 = -f + 5*f + 2*v - 136, 0 = -f - 3*v + 44. Suppose 2*h + 2*h = f. Let y = -48 + 61. Calculate the remainder when y is divided by h.
5
Let w be (4/5)/(4/(-60)). What is the remainder when 34 is divided by (w/2)/(8/(-24))?
16
Let p(r) = -5*r - 9. Let u(x) = 6*x + 10. Let v(z) = 5*p(z) + 4*u(z). Let j be v(-4). Calculate the remainder when 6 is divided by j/2*0 - -4.
2
Suppose -2*w - 12 = -4*j - 0, j - 3 = -2*w. What is the remainder when 17 is divided by j?
2
What is the remainder when 2*2/8*32 is divided by (-2)/(-7) + 80/14?
4
Suppose -a - 6 = 4*g - 0, -28 = -4*a - 3*g. What is the remainder when 29 is divided by a?
9
Let o(y) be the third derivative of 4*y**2 + 0 + 1/3*y**3 + 1/24*y**4 + 1/60*y**6 - 1/20*y**5 + 0*y. What is the remainder when o(2) is divided by 3?
2
Let z = -46 - -68. Suppose m + 0*m = z. What is the remainder when 85 is divided by m?
19
Let u(c) = -5*c + 5*c - 2*c**2 - 1 + 4*c**2 + 23*c**3. Calculate the remainder when 71 is divided by u(1).
23
Let w(r) = 10*r**3 + 3*r**2 - r - 2. Let n be w(-2). Let y = n - -117. Suppose 4*s - y = 23. Calculate the remainder when 52 is divided by s.
16
Suppose -2 = -5*c + 8. Suppose -38 = -5*d + c. Calculate the remainder when d is divided by 3.
2
What is the remainder when 18 is divided by ((-12)/(-8))/(4/8)?
0
Let n(p) = -p + 29. Let v(q) = 10*q + 4. What is the remainder when v(6) is divided by n(7)?
20
Let g(b) = -16*b - 1. Let m be g(-1). Suppose 0 = -5*s + 2*s + m. What is the remainder when 9 is divided by s?
4
Suppose f + q = -9 + 34, 4*f - q - 95 = 0. Let w(o) = -8*o + 7. Let i(u) = u**2 + 8*u + 2. Let t be i(-7). What is the remainder when w(t) is divided by f?
23
Suppose -9 = -4*w + 47. What is the remainder when w is divided by ((-4)/12)/(1/(-15))?
4
Let d = -33 + 4. Let i = 18 + d. Let l = i + 22. Calculate the remainder when 20 is divided by l.
9
Let c be 1 + -6*2/(-4). Let n = c + 2. Calculate the remainder when n is divided by (-10)/(-2) + (-9)/9.
2
Let s(n) = -23*n - 19. What is the remainder when s(-6) is divided by 11?
9
Suppose -3*w - 5*c = 9 - 77, 5*c - 52 = -2*w. Let z = 28 - -1. What is the remainder when z is divided by w?
13
Calculate the remainder when ((-6)/(-2)*-1)/((-33)/704) is divided by 11.
9
Suppose -4*t + 13 = 5*h, 4*t + 1 = h + 32. Let g(b) = b + 15. Calculate the remainder when g(5) is divided by t.
6
Suppose 3*m - m = 0. Let i = 2 + m. Suppose o = i*o - 9. What is the remainder when o is divided by 5?
4
Suppose 0 = 2*f + o + 3*o - 20, -4*f + 79 = -5*o. Calculate the remainder when 54 is divided by f.
6
Let l be 12/66 + (-158)/22. Let t(j) = j**3 + 8*j**2 + 5*j - 10. Calculate the remainder when 9 is divided by t(l).
1
Suppose 0 = 3*t - 42 - 24. Suppose 0*w = 4*w. Suppose w*r - 2*r + 16 = 0. Calculate the remainder when t is divided by r.
6
Let r(k) = -k. Calculate the remainder when r(-7) is divided by 5.
2
Let b(s) = 3*s**2 + 2*s - 2. What is the remainder when 11 is divided by b(1)?
2
Suppose 4*u - 5*u = -21. Let b = 21 + -9. What is the remainder when u is divided by b?
9
Suppose 352 = 7*c + 16. What is the remainder when c is divided by 15?
3
Suppose -r + 5*d = 23, -5*r = d - 25 + 88. Let s = r + 20. Let x(h) = -h**2 - 9*h - 2. Calculate the remainder when x(-7) is divided by s.
5
Suppose -3*r + 35 = 11. Calculate the remainder when 14 is divided by r.
6
Suppose -6*f + 3*f + 132 = 0. Let j be ((-128)/12)/((-2)/(-6)). Let s = -17 - j. What is the remainder when f is divided by s?
14
Let q = -20 - -38. Let n(h) = h**2 - 11*h - 31. Calculate the remainder when n(-6) is divided by q.
17
Suppose 0 = -3*t - 5*r - 5, 3*r - 2*r = 4*t - 24. Let n = 8 + 6. Suppose 49 = t*w + z, -z = w - 5*z - n. Calculate the remainder when 18 is divided by w.
8
Suppose 3*b = 5*b - 20. Suppose -q + 20 - 1 = 0. What is the remainder when q is divided by b?
9
Suppose -2*a = -4*h - 70, 0 = -a - 4*h + 52 - 23. Calculate the remainder when a is divided by 6.
3
Let s(z) = -z**2 + 31*z + 16. Calculate the remainder when 59 is divided by s(31).
11
Let o = 12 + 16. Calculate the remainder when o is divided by 10.
8
Let s = 5 + 0. Suppose 3*r = -q + 12, -r - 1 = 4*q - s. Suppose 4*l - l + 8 = r*o, 0 = -l + 5*o - 21. Calculate the remainder when l is divided by 2.
0
Let t(o) = -8*o - 57. Calculate the remainder when 117 is divided by t(-9).
12
Suppose -5*c = 5*z - 61 + 1, -3*c + 3*z = -54. Calculate the remainder when 56 is divided by c.
11
Calculate the remainder when ((-2)/2)/(2/(-98)) is divided by (41 + -2)*(-1)/(-3).
10
Suppose -2*j + m = -2*m + 5, j = 4*m + 5. Calculate the remainder when (-4)/(-14) + (-33)/j is divided by 1*4/(3 - -1) + 3.
1
Let o = -115 - -126. Calculate the remainder when 18 is divided by o.
7
Suppose 2*u + 13 = 3*u. Calculate the remainder when (-2)/3 - 678/(-18) is divided by u.
11
Suppose 5 = -r + 6. Suppose t + r - 4 = -2*j, 3*j - 12 = -3*t. Suppose 125 = -0*n + t*n. Calculate the remainder when n is divided by 7.
4
Let k(y) = -3 + 6*y**2 + 3 - y. Calculate the remainder when 13 is divided by k(-1).
6
Suppose 2*w - 46 = -0*w. Suppose -3*n - v + w = 0, 0 = -5*n + v + 3*v + 44. Calculate the remainder when (8/20)/(2/(-10)) - -25 is divided by n.
7
Let t = -131 - -183. Calculate the remainder when 152 is divided by t.
48
Let k(h) = h**2 + 7*h - 12. Suppose 0 = 5*t - 0*t + 45. Suppose -5*a + 5*i + 50 = 0, 2*a + 3*i + 7 = 27. What is the remainder when a is divided by k(t)?
4
Let a = 14 + -7. Let g(i) = -i**3 + 8*i**2 - 13*i + 44. What is the remainder when a is divided by g(7)?
1
Let l(v) = 2*v**2 + 5*v + 3. Let p be l(-3). Suppose 0 = 2*r - 5*t + 34, -2*r - t = t + p. What is the remainder when 14 is divided by (-8)/28 - 58/r?
6
Let s(o) = -o**3 - 8*o**2 + 9*o + 5. Calculate the remainder when 11 is divided by s(-9).
1
Suppose -1 = -2*h + 23. Calculate the remainder when h is divided by 5.
2
Let b(a) = -a**2 + 11*a - 3. Let c = 17 + -11. What is the remainder when b(8) is divided by c?
3
Suppose 3*k + 5*c - 37 - 9 = 0, 2*k - 29 = -5*c. Let o = -11 + k. Calculate the remainder when o is divided by 2.
0
Calculate the remainder when 89 is divided by (-6)/27 + (-164)/(-9).
17
Suppose 7 = -b - 2*o, 4*o = -7 + 27. Let i = -50 + b. Let y = -37 - i. Calculate the remainder when y is divided by 16.
14
Let r(y) = -6*y - 1. Let l(t) = -t**2 + t + 1. Let w(u) = -3*l(u) - r(u). Let v(g) = -g - 3. Let o be v(0). Calculate the re