te the remainder when 8 is divided by d(x).
3
Suppose -2*a + 56 = -4*b, 2*a = 3*b - 14 + 67. Calculate the remainder when 42 is divided by a.
20
Let i(y) = y - 2. What is the remainder when 23 is divided by i(8)?
5
Let a = 0 - -5. Suppose 4*l + 12 = -3*d + 4*d, 34 = 2*d - 3*l. What is the remainder when (-16)/d*(1 - 11) is divided by a?
3
Suppose 4*p - 35 + 7 = 0. Suppose -z + 5 + p = 0. Calculate the remainder when z is divided by 5.
2
Let g = -32 + 60. What is the remainder when 53 is divided by g?
25
Suppose 0 = -2*m - 8, 4*z - 59 = 5*m - 3. What is the remainder when 35 is divided by z?
8
Let z(m) = -4*m**3 - m**2 - 2*m. Suppose 0 = -2*l, 4*q + 1 - 45 = 3*l. Calculate the remainder when z(-2) is divided by q.
10
Suppose -10 = -3*t + 5. Suppose -19 = t*c + 11. Let h = c + 13. Calculate the remainder when 13 is divided by h.
6
Let l be 2 + -5 + (3 - 0). Let u = l + 10. Suppose -5*k + 2*p + 44 - 10 = 0, -4*k = 3*p - 18. What is the remainder when u is divided by k?
4
Suppose -4*a - 5*j = -16, 3*a - 4*a + 4 = -2*j. Suppose 5*h - 19 = a*h. Calculate the remainder when 56 is divided by h.
18
Let f(o) = 9*o - 1. Let s be 2/1 - 3 - -1. Suppose s = 3*u - 20 - 22. Calculate the remainder when u is divided by f(1).
6
Suppose -17*f + 18 = -11*f. Let n = -5 + 7. Suppose -f*p + 100 = n*p. What is the remainder when p is divided by 11?
9
Suppose 0 = 8*i - 3*i - 25. Suppose i*s + 195 = 2*q + 3*q, 4*s = q - 48. Calculate the remainder when 143 is divided by q.
35
Suppose 0 = 5*q - 4*z - 820, 10*q - 5*q - z = 835. Calculate the remainder when q is divided by 19.
16
Let j(q) be the first derivative of 3 + q - q - 4*q - 3*q**2 + 2*q. Calculate the remainder when j(-5) is divided by 15.
13
Suppose -3*u = -u - 28. Suppose 138 + u = 2*g. Suppose -g = -3*w - w. Calculate the remainder when w is divided by 7.
5
Let p(i) = i**2 - 5*i + 4. Let x be p(4). Suppose x = 4*a - 24 - 32. What is the remainder when 1 - (-4 + 0)*13 is divided by a?
11
Let f(p) = p**3 - 5*p**2 + 2*p - 2. Let r be (-1)/((-2)/(-8)*-1). Suppose -r*w - 3 = -23. Calculate the remainder when 15 is divided by f(w).
7
Let y be -3 + (2 - (-2 + 0)). Let t be ((-4)/2 - 15)*y. Calculate the remainder when 39 is divided by 3 - t - 0/3.
19
Suppose -11*g + 48 = -9*g. What is the remainder when g is divided by 13?
11
Suppose 52 - 14 = 2*i. Let f(m) be the second derivative of -m**5/20 + 7*m**4/12 - m**3 + 7*m**2/2 + 2*m. Calculate the remainder when i is divided by f(6).
5
Let r = 4 + -3. Let u = 1 + r. Let y = 6 + -3. Calculate the remainder when y is divided by u.
1
Suppose -1 + 13 = 4*m. Suppose 3*c - 5*w = c - 21, -m*w = -5*c - 5. Suppose j - c = 1. What is the remainder when 4 is divided by j?
1
Let y(s) = -s**3 + 10*s**2 - 3*s - 5. Calculate the remainder when y(8) is divided by 25.
24
Let p(l) = -2*l**2 - 2 + 10*l - 5*l + 4*l + l**2. Let x = -17 - -52. What is the remainder when x is divided by p(5)?
17
Let s = 129 - 38. What is the remainder when s is divided by 23?
22
Suppose -3*d = 3*f - 12, -f = 4*d - 5*f. What is the remainder when 4 is divided by -1 - (-6 - (-5 + d))?
0
Suppose -18*z - 81 = -21*z. What is the remainder when z is divided by 2?
1
Suppose k + 1 = 2*i, -k = -0*k - 3. Suppose i*h = 24 + 32. Calculate the remainder when h is divided by 10.
8
Let g = 32 - 17. Calculate the remainder when (-2 - -5 - -1) + (-39)/(-1) is divided by g.
13
Suppose 0 = 5*r - 5*z - 130, 5*r - z = 3*z + 131. What is the remainder when r is divided by 10?
7
Let c = 6 - -27. Calculate the remainder when c is divided by 12.
9
Let i(t) = -3*t + 1. Suppose b - 3*b + 5 = k, 0 = -3*b + 3*k + 21. Suppose b*p = 121 + 23. What is the remainder when p is divided by i(-4)?
10
Let q be ((-4)/3)/((-5)/90). Let b = -5 + q. Calculate the remainder when b is divided by 5.
4
Suppose 3*g = 5*w + 122, g + 5*w + 1 = 15. What is the remainder when 44 is divided by 2*(g/4 - -3)?
21
Suppose d = 6*d + 30. Let l = 11 + d. What is the remainder when 18 is divided by l?
3
Let f(j) = j**2 + 7*j - 12. Let a = -2 + 1. Calculate the remainder when (-11)/((3 - 2)/a) is divided by f(-9).
5
Let q(l) = -l**2 - 5*l + 21. What is the remainder when 82 is divided by q(-7)?
5
Let j(i) = -11*i + 6. Calculate the remainder when j(-5) is divided by 16.
13
Let c = 11 + 8. Let a = -11 + 17. What is the remainder when 220/a - 1/(-3) is divided by c?
18
What is the remainder when (51/(-9))/(1/(-6)) is divided by 12?
10
Suppose 3*i - 35 = -2*i. Let h = i - -2. Suppose -3*d + 50 = -28. Calculate the remainder when d is divided by h.
8
Suppose -3*h - h + 72 = 0. Let n = 14 + h. Calculate the remainder when n is divided by (11*-1)/((-2)/2).
10
Suppose 0 = 3*i - 0*i - 69. Calculate the remainder when i is divided by 7.
2
Suppose -3*k - 45 = -4*p, 7*p - 2*p + 4*k - 95 = 0. Calculate the remainder when 1/(116/(-118) - -1) is divided by p.
14
Suppose 11 - 54 = -t. Calculate the remainder when t is divided by 15.
13
Let p = 65 - 40. Calculate the remainder when p is divided by 13 - 1/(-1)*1.
11
Let c(d) = -d**3 - 9*d**2 + 11*d + 11. Let n be c(-10). Let u(m) = 4*m**3 + 2*m - 1. What is the remainder when 805/91 + 4/26 is divided by u(n)?
4
What is the remainder when 21 is divided by 3/6 - 69/(-6)?
9
Let v(q) = -2*q**2 + 2*q + 2. Let x be v(-3). Let i = x + 37. What is the remainder when 42 is divided by i?
12
Let l be ((-3)/2)/(1/(-2)). Suppose 68 = -5*d - 4*f, 4*d - l*f - 2*f = -38. Let t = 24 + d. What is the remainder when t is divided by 7?
5
Suppose -2*w - 28 = -6*w. Calculate the remainder when w is divided by 4.
3
Suppose -2*v + 7*v - 273 = d, 3*v - 2*d = 161. What is the remainder when v is divided by 29?
26
Let m(b) = -b**3 + 4*b + 3. Let k(u) = u**3 - 6*u**2 + 7*u - 2. Calculate the remainder when k(5) is divided by m(-2).
2
Let b be (-33 + 1)/(2/2). Let j = b + 10. Let o = 14 - j. What is the remainder when o is divided by 19?
17
Let a(j) = j**2 + 5. Let z be a(4). Suppose -b = -3*q + 47 - 0, b - z = -q. Calculate the remainder when 33 is divided by q.
16
Let p(o) = -o**3 + 14*o**2 - 11*o - 9. Calculate the remainder when 82 is divided by p(13).
14
Suppose -4*k + 1 + 19 = 0. Suppose -5*o = 2*s - 54, -2*o + 10 = -k*s - 0. What is the remainder when o is divided by 3?
1
Let u(p) = -2*p**3 - 4*p**2 - p - 5. What is the remainder when u(-4) is divided by 16?
15
Suppose 3*k - 3*f + 4*f - 15 = 0, 0 = -k + 4*f + 18. Let z(y) = y - 5. Let d be z(4). What is the remainder when k is divided by d/2 + (-15)/(-6)?
0
Let v(n) = 9*n - n + 2*n**2 + 5 - 3. Suppose 0 = d + 3*a - 29, -3*d - a = -0*d - 47. What is the remainder when v(-6) is divided by d?
12
Suppose 5*b - 20 = b, 2*y + 4*b = 28. Suppose -4 = -2*f, 46 = 5*g - y*f - 121. What is the remainder when g is divided by 18?
17
Let x = 12 + 0. Calculate the remainder when x*6/9 + 1 is divided by 6.
3
Suppose 0 = -5*b - 122 + 267. What is the remainder when 82 is divided by b?
24
Let h = -7 + 12. Suppose 4*j - 4*a - 172 = 0, -j + 2*a + 10 + 30 = 0. Suppose -t = 3*l - j, 101 = h*l + t + 27. What is the remainder when 40 is divided by l?
12
Let p(t) be the third derivative of t**5/60 - 11*t**4/24 + 7*t**3/6 - t**2. Let u be p(10). Let v = 27 + u. Calculate the remainder when v is divided by 13.
11
Suppose 3*j - 9 = 6*j. Let q(x) = -5 + 3 - x + 6. What is the remainder when q(j) is divided by 3?
1
Let o(f) = -f**3 - 2*f**2 + 5*f - 1. Calculate the remainder when o(-6) is divided by 29.
26
Let b = 21 - -10. What is the remainder when b is divided by 16?
15
Suppose 2*p - 27 - 43 = 0. Let q = p + -21. Let x = q + -2. What is the remainder when 35 is divided by x?
11
Suppose 4*a - 12 = 4*n + 28, 3*a = -5*n + 46. What is the remainder when 70 is divided by a?
10
Suppose 2*o + 824 = 6*o. Suppose -t - t + o = -5*f, 3*f - 125 = -t. What is the remainder when t is divided by 29?
26
Suppose -2*d = -d - 23. What is the remainder when 65 is divided by d?
19
Suppose 3*c - 27 = -3*i, 0 = 4*c - 0*c + 2*i - 44. What is the remainder when c is divided by 8?
5
Let q = -4 - -8. Calculate the remainder when 162/q + (-6)/(-12) is divided by 21.
20
Let p(o) = -o**2 + 11*o + 1. Let a be (-6)/(-5)*40/6. Calculate the remainder when 3/6 - 95/(-2) is divided by p(a).
23
Suppose 3*b + 2*b = 80. Let v = -11 + b. Suppose -2*g + 6*g + v*t = 57, 