 32 = 0. Calculate the remainder when i is divided by 5.
4
Suppose 5*r = 23 + 37. Let t(c) be the second derivative of -c**5/20 - c**4/2 - c**3/2 + 2*c**2 - 3*c. What is the remainder when t(-6) is divided by r?
10
Let b(h) = 5*h**2 + 2*h - 3. Let c(v) = 6*v. What is the remainder when b(2) is divided by c(2)?
9
Suppose 3*r + 4*m = -m + 56, -2*m = 2*r - 36. Suppose 2*a + 8 = 6*a. Suppose a*l = 4 + 62. What is the remainder when l is divided by r?
16
Suppose -4*d - n = 4*n - 186, -4*n = 5*d - 228. Let s(y) = 2*y**2 - 6*y - 5. What is the remainder when d is divided by s(5)?
14
Let y(i) be the third derivative of 5*i**4/24 + 5*i**3/6 - i**2. Let h = 13 - 7. What is the remainder when y(h) is divided by 9?
8
Suppose -y + 23 = 2*i + 3*i, 5*y - 3*i - 3 = 0. Suppose 2*q + 3*k = -3 + 86, 5*k = y*q - 115. What is the remainder when q is divided by 14?
12
Suppose 2*c - 3*w - 44 = 0, -w = c + w - 22. Let d be 54/(0 - 6/(-4)). Calculate the remainder when -10*(d/(-8) + -2) is divided by c.
21
Let t(f) = 12*f - 3. Let y be t(-3). Let w = y + 67. Suppose 11*p + 1 = 111. Calculate the remainder when w is divided by p.
8
Let h = 33 - 33. Suppose 0 = -5*k + 108 + 32. Suppose 3*q + q - k = h. Calculate the remainder when 18 is divided by q.
4
Let z = 136 - 132. Calculate the remainder when 57 is divided by z.
1
Let w = -23 - -60. What is the remainder when 71 is divided by w?
34
Let q(w) = -w + 14. Let s = -46 + 86. Calculate the remainder when s is divided by q(-7).
19
Calculate the remainder when 63 is divided by 16/(-18)*-6*3.
15
Let a be 4/6*2*3. Suppose -3*i + 92 - 4 = 4*p, -3*p - a*i = -66. Let f(k) = -k**3 + 5*k**2 + 7*k + 2. What is the remainder when p is divided by f(6)?
6
Let d = 57 + -26. What is the remainder when 120 is divided by d?
27
Let w be 51/((-9)/3)*-1. Let k = -13 + w. Let s = -9 + 18. What is the remainder when s is divided by k?
1
Let g(f) = 2*f**2 + 2*f - 14. What is the remainder when 126 is divided by g(4)?
22
Suppose 5*h + 210 = -0*h. Let a = 0 - h. What is the remainder when (a/9)/((-2)/(-24)) is divided by 19?
18
Let q(j) = -j**3 - j**2 - j + 13. What is the remainder when 47 is divided by q(0)?
8
Let g be 1/(-2)*(-1 - 5). Let d(y) = 0*y + 1 - y**g + 0*y. What is the remainder when 2 is divided by d(0)?
0
Let a(l) be the third derivative of -l**4/4 - 7*l**2. Calculate the remainder when 70 is divided by a(-4).
22
Let l = -69 - -102. What is the remainder when 98 is divided by l?
32
Let d(h) = -h**3 - 6*h**2 + 5*h. Let n be d(-7). Suppose 58 = 3*x - n. Calculate the remainder when 71 is divided by x.
23
Suppose -m = 4*p - 229 + 46, -m - 93 = -2*p. Let s(u) = u**3 + 6*u**2 - 3. What is the remainder when p is divided by s(-3)?
22
Suppose 50 = 5*p - 0*p - 4*m, 2*p = 3*m + 20. What is the remainder when 27 is divided by p?
7
Suppose 0*y - 6 = 2*y. Let x(n) = -2*n**3 - 3*n**2 + 1. Let q be x(y). Suppose 5*k = k + q. Calculate the remainder when k is divided by 3.
1
Suppose 0 = -2*u - 5*n, -4*u - 6 + 58 = -3*n. Calculate the remainder when (-226)/(-8) - 2/8 is divided by u.
8
Suppose 5*p - x - 27 = 0, x - 22 = -4*p + 2*x. Calculate the remainder when 17 is divided by p.
2
Let z = -6 + 8. Suppose -4*j - 7 - 3 = 2*y, z*j + 3*y + 7 = 0. Calculate the remainder when 31 is divided by ((-8)/6 - j)*12.
7
Suppose 66 = -3*c + 9*c. Suppose -3*u - 2*u = 0. Suppose 2*i + 20 = -2*i, -5*a - 5*i + 190 = u. What is the remainder when a is divided by c?
10
Suppose 7*v - 4*v - 12 = 0. Suppose -3*f = 0, -3*k + 0*f = -f - 30. Suppose -5*n + k = -5. Calculate the remainder when v is divided by n.
1
Suppose -z = 2*z - 9. Suppose 5*a = z*l - 5, -l + 15 = 2*a + 3*a. What is the remainder when l is divided by 3?
2
Let k(f) = 32*f + 2. Let u be k(2). Let a = -47 + u. What is the remainder when a is divided by 11?
8
Suppose k - 3*k + 4 = 0. What is the remainder when (k - (-53 - -2))*1 is divided by 18?
17
Let z(a) = a**2 + 5*a + 3. Let g be z(-4). What is the remainder when 16 + g/2*-4 is divided by 10?
8
Let c(m) = -m**3 + 9*m**2 - 5*m - 10. Suppose 0 = -o - o + 16. Calculate the remainder when c(o) is divided by 8.
6
Let u = -13 + 30. Suppose -24 = 4*v - 8*v. Calculate the remainder when u is divided by v.
5
Suppose 0 = -5*g - 364 + 989. What is the remainder when g is divided by 18?
17
Let s = -9 + 14. Suppose 3*q = 5*l - 130, 7*l - s*q - 140 = 2*l. What is the remainder when l is divided by 12?
11
Suppose 0*i = -4*i. Suppose -s + 0 + 2 = i. Suppose -4*q + 59 = s*x + x, -5*q + 97 = -4*x. What is the remainder when q is divided by 6?
5
Let m(j) = -4*j**2 + 28 + 3*j - 28 - j**3. Calculate the remainder when 4/(-14) - 128/(-7) is divided by m(-5).
8
Let y(w) = w**2 + 3*w + 5. What is the remainder when 11 is divided by y(-2)?
2
Suppose -32*c + 35*c = 6. Calculate the remainder when 7 is divided by c.
1
Let v = 5 + 0. Suppose -d + 3 = -v. Calculate the remainder when 15 is divided by d.
7
Let c = 8 - 5. Let r be (c/9)/(1/(-33)). Calculate the remainder when 2/11 + (-273)/r is divided by 7.
4
Let k(p) = p**2 + 10*p + 7. What is the remainder when 51 is divided by k(-11)?
15
Suppose -5 + 2 = -l. Let j be 4/((-6)/l) + 5. Suppose -j*z = z - 16. Calculate the remainder when 10 is divided by z.
2
Let c = 5 - 2. Calculate the remainder when 18 is divided by c + 6/3*1.
3
Suppose 10 = 4*y + 4*s - 9*s, 3*s - 21 = -3*y. Suppose 2*i - y*i + 6 = 0. Calculate the remainder when 3 is divided by i.
1
Let t(x) = -x**2 - 6*x + 3. Let u be t(-6). Suppose 0 = -2*k - u*k + 20. Let g = k - -1. What is the remainder when g is divided by 2?
1
Let t = 113 - 58. Suppose 0 = -5*m + t + 25. What is the remainder when m is divided by 9?
7
Suppose -4*x - 3 - 1 = 0. Let t(l) = -2*l**3 - 2*l**2 - 2*l - 1. Let b be t(-1). What is the remainder when 7 is divided by 5 + x - (b - 0)?
1
Let m(i) = -i**3 - 9*i**2 + 10*i + 1. What is the remainder when m(-11) is divided by 27?
25
Let l = -7 + 16. Let j be (-10)/(3/(-108)*-3). Calculate the remainder when ((-22)/(-8))/((-10)/j) is divided by l.
6
Suppose 3*n + 4*n - 707 = 0. What is the remainder when n is divided by 26?
23
Suppose 3*i - 231 = 3*y, -4*i + 227 = -i + y. Calculate the remainder when i is divided by 40.
36
Let d = 119 - 73. What is the remainder when 229 is divided by d?
45
Let b be 2/(-5) - 792/20. Let t = b + 63. What is the remainder when t is divided by 13?
10
Suppose 8 = 4*p - 2*d, -p + 5*p + 2*d = 0. Let n = 5 - 3. What is the remainder when n is divided by p?
0
Suppose 11*p - 5*p - 162 = 0. What is the remainder when p is divided by 15?
12
Let n(u) = 16*u**2 - 3*u + 1. Calculate the remainder when n(2) is divided by ((-8)/(-12))/((-3)/(-90)).
19
Suppose 4*z = -2*m + 202, -4*m - z + 384 = -3*z. Suppose 2*a - m = 5*b + 44, 0 = 5*a - 4*b - 310. Calculate the remainder when a is divided by 15.
13
Let r = -29 - -46. What is the remainder when 49 is divided by r?
15
Let u = -164 - -239. What is the remainder when u is divided by 13?
10
Let b(s) = s**3 - 4*s**2 + 2*s. Let k(p) = p**3 - 4*p**2 - 3*p + 5. Calculate the remainder when k(5) is divided by b(4).
7
Suppose 0 = -l + 32 - 4. Suppose -q + l = 3*q. Let x = -16 - -35. What is the remainder when x is divided by q?
5
Suppose -6*r + 7*r - 16 = 0. What is the remainder when 62 is divided by r?
14
Suppose 4*i - w = -6*w + 176, -98 = -2*i - 5*w. Suppose 12 = 3*v, 2*g - 2*v = 13 + 11. Suppose 5*x - g = i. Calculate the remainder when x is divided by 4.
3
Let h be (-5)/15 - (-40)/3. Suppose -h = -r + 10. Calculate the remainder when 67 is divided by r.
21
Let q(a) = -a**3 + 6. Let w be q(0). Suppose l + l = w. Suppose g = l*g - 114. Calculate the remainder when g is divided by 15.
12
Let o be 2/6 + 16/6. Suppose 13 = o*k - 5. What is the remainder when (3 + 31/(-5))*(-5 + 0) is divided by k?
4
Suppose 90 = 4*i + i. What is the remainder when 50 is divided by i?
14
Let m(k) = 2*k - 4. Let w(f) = -2*f + 2. Let v be w(-3). Let q = v + -4. Calculate the remainder when 6 is divided by m(q).
2
Suppose f - 4*y - 12 = 1, -f - 3*y + 27 = 0. What is the remainder when f is divided by 12?
9
Let q be -2 + (-1 + 4 - -3). Suppose -q = 3*a - 13. Suppose t = 6*t - 25. What is the remainder when t is divided by a?
2
Let w be ((-387)/12)/(6/(-16)). Calculate the remainder when 25 is divided by 4/10 + w/