et g be p(-3). Calculate the remainder when 75 is divided by g/8 - (-6)/(-24).
18
Let q(u) be the first derivative of -u**4/24 - u**2/2 + 2. Let b(r) be the second derivative of q(r). What is the remainder when 6 is divided by b(-4)?
2
Let i be 10/2*6/10. Suppose s - 5*j + 2 - 9 = 0, -j = -i*s + 7. Suppose s*x + 42 = 5*x. What is the remainder when 27 is divided by x?
13
Let y(t) = -t**3 + 4*t**2 + 5*t + 3. What is the remainder when 3 is divided by y(5)?
0
Suppose b = 3*v + 6*b, -3*v - b + 12 = 0. Suppose -3*c + v*c = 8. Suppose c*x - 96 = x. Calculate the remainder when x is divided by 11.
10
Let u(k) = -k**3 + 8*k**2 + 9*k + 4. What is the remainder when u(9) is divided by 2?
0
Let x = -2 + 6. Suppose b - 49 = -2*r - 2*r, -x*r = 3*b - 147. What is the remainder when b is divided by 13?
10
Let n = -34 - -56. Suppose 4*x + 20 = 0, -2*d - x - 3*x = -154. What is the remainder when d is divided by n?
21
Let u(h) = -4*h - 8 + 7 - 2. What is the remainder when 1 is divided by u(-1)?
0
Let m(h) = -h**3 - h**2 + 39. What is the remainder when m(0) is divided by 10?
9
Let s = -12 - -8. Calculate the remainder when 51/((-3)/(-1) + -2) is divided by (50 - -2)/s*-1.
12
Let x = -1 - 2. Let y be -3 - (-16 - x/(-3)). Let n = 4 + y. Calculate the remainder when 53 is divided by n.
17
What is the remainder when 42/4*12/9 is divided by 9?
5
Let r(m) = m**2 + 4*m + 0*m**2 + 4 - m + 1. What is the remainder when 35 is divided by r(-4)?
8
Let b(a) = -a**2 + a + 10. Let m = -34 + 37. What is the remainder when b(0) is divided by m?
1
Let f(b) = -b**3 + 8*b**2 + 4*b - 12. Let m = -86 + 125. Calculate the remainder when m is divided by f(8).
19
Suppose -3 - 7 = -b. Suppose 12 = -5*r + 72. Suppose 84 = 15*x - r*x. Calculate the remainder when x is divided by b.
8
Suppose -5 - 16 = -f. Suppose z + 40 = 6*z. What is the remainder when f is divided by z?
5
Let j = 5 + -5. Suppose -p + 18 - 4 = j. Suppose 4*k = -k - 3*i + 120, i + 59 = 2*k. Calculate the remainder when k is divided by p.
13
Let d(h) = -h**3 + 6*h**2 + h - 2. Let q be d(6). Calculate the remainder when 70 is divided by (21 - 0) + (q - 1).
22
Suppose -r - 3 = -4. Calculate the remainder when (r/(-2))/(1/(-108)) is divided by 14.
12
Suppose -5*k + 2*t = -142, 3*t = -5*k + 2*t + 154. Let c = 18 + -10. Suppose -2 = -2*b - c, 4*g - 4*b - 44 = 0. Calculate the remainder when k is divided by g.
6
Suppose -4*u + 53 = 1. Suppose 2*z = -2*v - 2*v - 24, -34 = 3*z + 5*v. Calculate the remainder when -46*(-2)/z*-2 is divided by u.
10
Let f(a) = a**2 - 5*a - 1. Suppose -16 + 2 = -2*u. Calculate the remainder when f(7) is divided by u.
6
Let q be (9/(-6))/((-1)/(-6)). Let o be ((-6)/q)/(2/60). Suppose -o = -0*g - 4*g. What is the remainder when g is divided by 3?
2
Suppose 0*u + 180 = 3*u. Let d be -2 - 1/((-3)/u). Let k = d - -3. Calculate the remainder when k is divided by 8.
5
Suppose 170 = 4*m + m. Let a(j) = j**2 - 7*j - 11. What is the remainder when m is divided by a(9)?
6
Suppose -64 + 0 = -4*w. Let h = w + -4. Calculate the remainder when h is divided by 5.
2
Let m = 3 - 1. What is the remainder when ((-2)/(-3))/(6 - (-264)/(-45)) is divided by m?
1
Let h(a) = -10*a + a**2 + 4 + 2 + 21*a. Calculate the remainder when h(-11) is divided by 3.
0
Let u(n) = 33*n - 2. What is the remainder when u(1) is divided by 8?
7
Let o = -174 - -276. What is the remainder when o is divided by 15?
12
Suppose 5*c = 21 + 89. What is the remainder when 85 is divided by c?
19
Suppose 0 = -2*z + 7*z - 320. What is the remainder when z is divided by 33?
31
Let q(z) = -2*z - 7. Let k be q(-6). Let m be (21 - 4) + (-1 - 2)*1. Suppose 0 = -4*c + k*c - m. Calculate the remainder when 41 is divided by c.
13
Suppose 18*l - 21*l + 75 = 0. Let h(w) = w**2 + 4*w - 7. Let q be h(-6). Suppose q + 40 = 5*g. What is the remainder when l is divided by g?
7
Let p(h) = -h. Let v be p(-2). Suppose i + v*u = 7*u - 15, 2*i - 5*u = -10. What is the remainder when 8 is divided by i?
3
Let y(n) = -n**2 + 6*n - 1. Let r = 8 - 4. Let d be y(r). Let g(p) = p**2 - 4*p - 10. What is the remainder when 31 is divided by g(d)?
9
Suppose -5*v - 12 = -7*v. Suppose 0*h - 5*i = h + 3, -v = 2*i. Suppose 0 = -2*m + 5*x + 9, 0 = 4*m - m - x - 20. Calculate the remainder when h is divided by m.
5
Suppose -8*j + 40 = -7*j. What is the remainder when j is divided by 11?
7
Let h(b) = b**2 - b + 6. Suppose -u - 4*u = 0. Suppose 10 = 2*n + 3*n, i + 2*n - 8 = 0. What is the remainder when h(u) is divided by i?
2
Let c(l) = -2*l - l + 2*l + 0*l + 1 + 16*l**3. What is the remainder when 46 is divided by c(1)?
14
Suppose 0*m = 3*m + 9. What is the remainder when 37 is divided by -8*((-34)/8 - m)?
7
Let r(x) = x + 3. Let v(o) = -3*o - 12. Let w(t) = -21*r(t) - 5*v(t). Calculate the remainder when 29 is divided by w(-3).
14
Let u(r) = r + 16. Calculate the remainder when u(0) is divided by (-9)/(-2) - (-3)/2.
4
Let u = 134 - 75. Let o = u + -25. Suppose -60 = -4*p + 4*q, p + 7*q = 4*q + 3. What is the remainder when o is divided by p?
10
Let r be (1 + (-27)/(-6))*6. Let c = r + -18. Calculate the remainder when 28 is divided by c.
13
Let q(w) = -5*w**3 - w**2 + 2*w + 1. Let l be q(-2). Let t = 0 + l. Suppose 4*b = b + t. Calculate the remainder when b is divided by 3.
2
Suppose 2*a = -3*z + 2, 4*a - 10 = -a - 5*z. Calculate the remainder when ((-15)/2)/((-5)/10) is divided by a.
3
What is the remainder when (4/2)/(4/174) is divided by 15?
12
What is the remainder when 1/((-2)/(-15))*1034/141 is divided by 4?
3
Suppose 4*k = -2*n - 12, -22 = 5*n - 0*k + 2*k. Let f = n - -13. Let m(d) = -d**2 + 12*d - 7. Calculate the remainder when m(8) is divided by f.
7
Let f = 14 + -10. Suppose 5*b - 178 = j + 3*j, -143 = -f*b + 3*j. Suppose 3*s + 0 = n - 1, 0 = 3*n - 2*s - b. Calculate the remainder when 47 is divided by n.
15
Let x = -22 + 37. Let p(n) = n**3 + n**2 - 2*n. Calculate the remainder when x is divided by p(2).
7
What is the remainder when 146 + -6*3/6 is divided by 48?
47
Let a = -78 - -98. What is the remainder when 24 is divided by a?
4
Let n = -24 - -44. What is the remainder when n is divided by 11?
9
Suppose 26 - 62 = -2*j. What is the remainder when 29 is divided by j?
11
Let w = -82 + 165. What is the remainder when w is divided by 21?
20
Let t(h) = 62*h - 6. What is the remainder when t(4) is divided by 35?
32
Suppose 0 = r - 4 - 0, 2*q + 3*r - 8 = 0. What is the remainder when (-9 - q)/(1/(-4)) is divided by 10?
8
Suppose 4*h - 9 + 33 = 0. What is the remainder when 57 is divided by (3 + -1)*(-45)/h?
12
Let v(y) = -3*y - 1. What is the remainder when 9 is divided by v(-1)?
1
Let a(o) = -o**2 - 7*o + 5. Let h be (34/(-5))/(2/10). Let w = 66 + h. What is the remainder when w is divided by a(-6)?
10
Suppose w = -0*m + 5*m + 17, 0 = 4*w + 12. What is the remainder when m/18 + (-364)/(-18) is divided by 11?
9
Let g be (-2)/8 + (-74)/(-8). Let q = -3 + g. What is the remainder when 10 is divided by q?
4
Let n = -4 + 14. Suppose 2*s + 4*d + 62 = 0, s + 5*d - 6*d + 37 = 0. Let w = s - -54. What is the remainder when w is divided by n?
9
Let i be 3/(-1 - -4 - 2). Suppose -2*w + 10 = i*w. Calculate the remainder when w is divided by 1.
0
Let k = 5 + -3. Calculate the remainder when k + -5 + 1 + 45 is divided by 15.
13
Calculate the remainder when 114 is divided by (-3)/(-4)*(-52)/(-1).
36
Suppose -25 = -4*o + 5*y, -3*y = 4*o - 21 - 28. What is the remainder when 38 is divided by o?
8
Let d(k) = k**2 + k + 2. Let y be d(-3). Let a = 15 - y. Suppose -p - 8 = -2*l, l = p - 2*p + a. Calculate the remainder when p is divided by 2.
0
Let b = 65 + -23. Calculate the remainder when b is divided by 17.
8
Let n(a) = 3*a**2 - 7*a - 4. What is the remainder when n(4) is divided by 9?
7
Suppose -4*d = -5*j - 19, 0 = 2*d - 5*d - j + 19. What is the remainder when d is divided by 6/(-15) + (-84)/(-35)?
0
Suppose -10 = -4*i + 18. Let w = 14 - i. Let s(b) = 2*b**2 - 9*b - 9. What is the remainder when s(w) is divided by 9?
8
Let c = -12 - -46. Let g = 13 + -4. Suppose 3*t - g = -2*u, -2*u + 4*t + 5 = -39. What is the remainder when c is divided by u?
10
Calculate the remainder when 57 is divided by 19 - (-16)/(-6 + 2).
12
Suppose 2*z = 3*j - 22, 2*z - 6*z - 40 = -5*j. Calculate the remainder w