 by w.
2
Let w be (-14)/(-3) + (-6)/9. Let v = -7 + w. Calculate the remainder when (-10)/v + 3/(-9) is divided by 2.
1
Suppose -42*a + 52 = -38*a. Suppose t - 58 + 7 = 0. Calculate the remainder when t is divided by a.
12
Let c = 15 + 40. Suppose 52 = 5*w + 2*g, 4*w + 10 = -5*g + c. Suppose 5*b = 3*q + 143, -6 + 1 = 5*q. What is the remainder when b is divided by w?
8
Suppose 5*l = -5*u + 70, 3*u - 24 = -4*l + 32. Calculate the remainder when 26 is divided by l.
12
Let u(y) = y**2 + 12*y + 5. Let b be u(9). Suppose s - b = 142. Calculate the remainder when s/15 - 4/10 is divided by 8.
6
Suppose 4*p - 316 = 4*t, 2*t - 7 = 1. What is the remainder when p is divided by 21?
20
Suppose y - 66 + 47 = 0. Calculate the remainder when 73 is divided by y.
16
Let b = 11 - 11. Suppose -m = -4*k + 347, 0 = -b*k + k - m - 86. What is the remainder when k is divided by 22?
21
Suppose 0 = 2*w - 209 + 43. Suppose 125 = -5*b - 0*b + t, -3*b - w = t. Let x = -18 - b. What is the remainder when 23 is divided by x?
7
Suppose -21 = -3*u - 3. Let y(s) = 2*s + 4. What is the remainder when y(3) is divided by u?
4
Let i(v) = -v**2 + 5*v - 2. Let x be i(-4). Let o = 25 - 16. What is the remainder when o is divided by x/(-12) - 6/36?
0
Let c = -44 + 69. Suppose -14 = 5*i - 4, -3*m = -2*i - 31. What is the remainder when c is divided by m?
7
Suppose 295 = 5*k + 70. What is the remainder when k is divided by 12?
9
Let b(q) = -q**3 + 13*q**2 + 5*q - 35. Calculate the remainder when b(13) is divided by 17.
13
Suppose -16 - 40 = -4*z. What is the remainder when z is divided by 5?
4
Suppose -5*q + w + 221 = -2*q, -q - 4*w + 91 = 0. What is the remainder when q is divided by 16?
11
Suppose -4*s + 94 = 22. Calculate the remainder when s is divided by 10.
8
What is the remainder when 35 is divided by 5/30*-3 - 81/(-6)?
9
Suppose 9*b - 13*b + 36 = 0. What is the remainder when 34 is divided by b?
7
Let x(s) = -9*s + 3. Calculate the remainder when x(-3) is divided by (5 - (-63)/6) + 4/8.
14
Suppose 0 = -2*r + r + 5, 41 = 2*a + 5*r. Let g(u) = u**3 - 3*u**3 - a + u**3 - 6 + 13*u**2 - 9*u. What is the remainder when g(12) is divided by 8?
6
Let n = 53 - 34. Calculate the remainder when 55 is divided by n.
17
Let f = 60 - 35. Suppose -5*o + 3*o = -18. What is the remainder when f is divided by o?
7
Suppose 4*c = 2*c + 6. Suppose 5*z = -c + 43. Calculate the remainder when z is divided by ((-4)/(-6))/(6/27).
2
Suppose -4*d + 364 = -4*k, 3*d + 0*k = -4*k + 252. Suppose 6*b - 2*b = d. Let z = -5 + b. Calculate the remainder when 33 is divided by z.
16
Suppose 4 - 7 = -a. Suppose a*y - 42 = 21. What is the remainder when 62 is divided by y?
20
Let b = 25 + -5. Calculate the remainder when b is divided by 11.
9
Suppose 4*y + c = -2*c + 189, -2*y + c + 87 = 0. What is the remainder when y is divided by 12?
9
Let v be ((-6)/(-8))/((-4)/(-16)). Suppose -h + 3*o = 2*o - 10, h + v*o = 2. What is the remainder when 15 is divided by h?
7
Let b = -69 + 85. Suppose 5*k + z = 337 - 27, -k - 2*z + 62 = 0. What is the remainder when k is divided by b?
14
Suppose 5*c = -2*a + 96, 2*c - 21 = -0*c + 5*a. What is the remainder when 422/8 - (-2)/8 is divided by c?
17
Let g = 4 - 0. Let s be ((-9)/(-2))/(2/g). Let u = 5 + s. What is the remainder when 40 is divided by u?
12
Let q(o) = -3*o - 29. Calculate the remainder when q(-16) is divided by 7.
5
What is the remainder when 21 is divided by 171/15 + 6/10?
9
Let k(n) = -n + 6. Suppose m - 4 = c, 0*m + 4*c = -2*m + 32. What is the remainder when k(-7) is divided by m?
5
Suppose -6 + 20 = 2*h. Suppose 5*o = -7*o + 156. Calculate the remainder when o is divided by h.
6
Calculate the remainder when 39 is divided by 3/(3/10) - (14 - 18).
11
Let q(d) = -d**3 + 7*d**2 - 7*d - 1. What is the remainder when 26 is divided by q(5)?
12
Suppose -4*y - 1 = -0*a + 5*a, 4*y = -4*a. Let k(h) = -30*h + 1. Calculate the remainder when k(a) is divided by 8.
7
Suppose 3*k - 1 - 5 = 0. Let d be k + -1*(-4)/(-2). Suppose d = 4*f - 17 - 23. Calculate the remainder when 28 is divided by f.
8
Let p(v) = 5*v**2 - 2*v - 2. Let z be p(-1). Let u(c) = c**3 + 5*c**2 + 3*c - 3. What is the remainder when (2 - z)/(6/(-4)) is divided by u(-4)?
0
Suppose -17*d - 280 = -22*d. What is the remainder when d is divided by 19?
18
Let w = 19 + 1. Calculate the remainder when 98 is divided by w.
18
Suppose 3*d - d - 72 = 0. Calculate the remainder when d is divided by 19.
17
Let j(v) = -v**3 - 7*v**2 - 6*v + 4. Let m(k) = 2*k**3 + 8*k**2 + 7*k - 3. Let z(q) = -3*j(q) - 2*m(q). Calculate the remainder when 39 is divided by z(5).
11
Let y(t) = t**2 + 8*t + 2. Let q be y(-8). Suppose -s = -o - 2*s + 24, -q*s - 126 = -4*o. Let w = o - 21. Calculate the remainder when 23 is divided by w.
7
Let c be 10*(3 + (-34)/10). What is the remainder when 56 + 1 + c/(-2) is divided by 31?
28
Suppose 2*j - 3 = 5. Let h(g) = g**2 - 2*g. Calculate the remainder when 30 is divided by h(j).
6
Suppose n - 3*u + 9 - 26 = 0, 4*n = -3*u + 83. Calculate the remainder when n is divided by 13.
7
Let h(y) be the third derivative of 0 + y**2 + 2/3*y**3 + 0*y + 1/120*y**6 + 3/8*y**4 - 2/15*y**5. Calculate the remainder when 53 is divided by h(7).
17
Let t = -15 - -35. What is the remainder when 39 is divided by t?
19
Let r be 1/(-8) + (-81)/(-8). Suppose 3*p - y - 130 = 0, 30 - r = 4*y. What is the remainder when p is divided by 12?
9
Let n(m) = -m**3 + 4*m**2 - 2*m + 2. Let y be n(3). Suppose -y*l + 31 + 19 = 0. What is the remainder when 36 is divided by l?
6
Let f = 14 + 12. Let g(i) = 4*i + 1. Let m be g(-1). Let a(x) = 2*x**2 + 4*x + 3. What is the remainder when f is divided by a(m)?
8
Let m = 21 + -2. What is the remainder when m is divided by 11?
8
Suppose 3*k - 39 = -o - k, 5*k - 10 = 0. Calculate the remainder when o is divided by 11.
9
Suppose 0*i - 4*i = 12. What is the remainder when -129*4*i/18 is divided by 22?
20
Let u(v) = 2*v**2 - 5*v**2 + 6*v**2 - 4 + 2*v - 2*v**2. Suppose g = -4*i + 22, 2*i + 2 = -5*g + 4. What is the remainder when i is divided by u(-4)?
2
Calculate the remainder when 15 is divided by 189/39 - 18/(-117).
0
Suppose -7*y = -2*y - 375. What is the remainder when y is divided by 11?
9
Let n = -6 + 8. Suppose -n - 2 = -2*a - 4*o, 4*a - 3*o - 8 = 0. Suppose 7 = 3*t - a*t. Calculate the remainder when 12 is divided by t.
5
Let f = -159 - -112. Let x = -33 - f. Calculate the remainder when 53 is divided by x.
11
Let y(g) = g**2 + 6*g + 19. Let m(u) = 6*u - 2. What is the remainder when m(7) is divided by y(-5)?
12
Let l = -1 + 1. Suppose n - 4*n + 5*t + 35 = l, 4*n = -5*t. Suppose -u + 12 = r, -r + n*u + 27 = u. What is the remainder when 28 is divided by r?
13
Let j(m) = m**3 + 11*m**2 + 7. What is the remainder when 19 is divided by j(-11)?
5
Suppose 0*o + 60 = 3*o. Suppose 0 = -2*p - i + 2, -i = 5*p - p - 2. Let x(a) = -a + 11. Calculate the remainder when o is divided by x(p).
9
Suppose -3*o - 4*p = -2*o - 88, -p + 242 = 3*o. Calculate the remainder when o is divided by 21.
17
Suppose -5*c = -25 - 0. Let t(o) = 3*o. Let l = 71 + -42. Calculate the remainder when l is divided by t(c).
14
Calculate the remainder when 70 is divided by 32 + (4 + -6)*-2.
34
What is the remainder when (-9)/((-3)/(-6)*-2) is divided by 3?
0
Let q(p) = 4*p + 17. Let c(w) = -w - 6. Let o(k) = -8*c(k) - 3*q(k). Calculate the remainder when o(-9) is divided by 17.
16
Suppose -2*r - j + 362 = 2*r, r - 3*j = 97. Calculate the remainder when r is divided by 23.
22
Let f = 78 - 39. What is the remainder when f is divided by 21?
18
Let d(z) = -z - 9. Let n be d(-11). Suppose 0*s = -n*s + 224. Suppose s + 63 = 5*q. What is the remainder when q is divided by 12?
11
Let i(h) = -h + 11. Calculate the remainder when i(0) is divided by 6.
5
Suppose -302*n = -307*n + 1755. What is the remainder when n is divided by 59?
56
Let g = 3 + -2. Calculate the remainder when (g + 0)/((-6)/(-366)) is divided by 16.
13
Let b(y) = 2*y + 2. Let h(t) = -t**3 - 4*t**2 - t + 3. Let p be h(-3). Calculate the remainder when 82*(6/(-4))/p is divided by b(6).
13
Suppose 2*l - 35 = -1. What is the remainder when 82 is divided by l?
14
What is the remainder when 17 is divided by (-5)/(15/(-24)) - 2?
5
Let l be 2*2*(-15)/(-2). Let p(n) = -n - 1. What