*2 - k - 1. Let v(p) = m*y(p) - t(p). Calculate the remainder when v(6) is divided by 8.
5
What is the remainder when 25 is divided by 1/(-4) - (-285)/20?
11
Suppose -2*j - 2 = 0, -5*a = -0*a + j - 289. Calculate the remainder when a is divided by (-2)/3*2*-15.
18
Suppose 6*c - 5*c - 11 = 0. Let j = c - 0. Let o = -20 + 52. Calculate the remainder when o is divided by j.
10
Suppose 7*o - 6*o + 2 = 0, -4*o - 32 = -3*h. Suppose -7*m = -3*m + 8, c - h = -m. What is the remainder when 17 is divided by c?
7
Let y(g) = 2*g - 2. Let d be y(-2). Calculate the remainder when 20 is divided by (-9)/d*14/3.
6
Let c(z) = z + 14. Let m = 2 - 8. What is the remainder when 21 is divided by c(m)?
5
Let y be (-1)/(1/(4 + 3 + -6)). Suppose -4*s = -0 - 12. What is the remainder when 24 is divided by (y/s)/(1/(-27))?
6
Let v(a) = a. Let z(h) = 18*h**2 + 2*h + 1. Calculate the remainder when z(-1) is divided by v(9).
8
Let q(x) = -3*x**2 + 0*x - 6*x + 4*x**3 + 4 - 3*x**3. What is the remainder when 46 is divided by q(5)?
22
Calculate the remainder when 708/18 - (-3)/(-9) is divided by 8.
7
Let a(g) = 2*g - 1 + 3*g - 4*g. Calculate the remainder when 11 is divided by a(7).
5
Suppose -3*y = -4*i + 183, -2*i = 2*i - 2*y - 186. Let d = i - 29. Let f(h) = 7*h. Calculate the remainder when d is divided by f(1).
5
Suppose -j + 6*j - 105 = 0. Calculate the remainder when 80 is divided by j.
17
Suppose -5*w - 20 = 0, 0 = -3*x + 4*w - 1 + 47. Suppose -5*o = 6 - 1. Let s = 18 - o. What is the remainder when s is divided by x?
9
Calculate the remainder when 7 is divided by (-105)/(-63)*(-12)/(-10).
1
What is the remainder when (-426)/4*(-16)/24 is divided by 18?
17
Suppose -10 = -2*l, l = 4*q - 114 - 197. Suppose 3*z - 90 = -3*i, -5*z + 5 - q = -2*i. Suppose 3*k + i = 5*k. What is the remainder when k is divided by 9?
7
Let i be 6/24 - 1/4. Let q = 3 - i. What is the remainder when 3 is divided by q?
0
Let i(y) = -y**3 + 5*y**2 - 2*y - 3. Suppose 4*a - 23 = 13. What is the remainder when a is divided by i(4)?
4
Let p = -4 + 8. Suppose 0 = -d, 5*j + 2*d + p - 19 = 0. Suppose 0 = -j*q + 5*h + 36, -q - q - h = -24. What is the remainder when 22 is divided by q?
10
Let l = -13 + 20. Calculate the remainder when 19 is divided by l.
5
Let q(j) = -j**2 - 9*j + 6. Let x be q(-8). Let b(g) = 2*g**2 - 2*g - 5. What is the remainder when b(4) is divided by 3*(1 - x/(-6))?
9
Calculate the remainder when 100 is divided by (-2)/(-7) - 1440/(-56).
22
Suppose -4*d = -4, 0 = 5*b - 0*b + d + 34. Let p = 9 - b. Calculate the remainder when p is divided by 9.
7
Suppose a - 183 = -3*x, 0*x - 2*x + 123 = a. Calculate the remainder when x is divided by 9.
6
Suppose 5*i + l - 84 = 68, -3*l = -6. What is the remainder when i is divided by 16?
14
Let n(l) = l**3 + 3*l**2 - 5*l - 4. Let o(h) = -h**3 - 3*h**2 + 4*h + 3. Let r(a) = 6*n(a) + 7*o(a). Calculate the remainder when 6 is divided by r(-3).
0
Calculate the remainder when 111 is divided by 560/21 - 4/(-3).
27
Let b(w) = w**2 - 3*w - 2. Let i(h) = 8*h + 1. What is the remainder when b(-4) is divided by i(1)?
8
Let i be 0 + 19 - (4 - 5). Suppose -3*k - 15 = 21. Let n = k + i. What is the remainder when 15 is divided by n?
7
Let j be 2/5 + 17/(-5). Let r be ((-4)/10)/(j/15). Suppose -3*o = -9, -7 = -k + o + r*o. Calculate the remainder when 30 is divided by k.
14
Let t(s) be the second derivative of s**4/2 - s**3/3 + 2*s**2 + 3*s. Let y(u) = u**3 - 8*u**2 + 3*u - 2. Calculate the remainder when t(-3) is divided by y(8).
20
Let t(s) = 2*s**2 + 6*s + 5. What is the remainder when t(-5) is divided by 14?
11
Let s(h) = -2*h**3 - 4*h**2 - 8 - h**2 + h**3. Let b be s(-6). Suppose 6 - b = -2*z. Calculate the remainder when 31 is divided by z.
9
Suppose 3*m + f - 46 = -f, 4*f = -2*m + 36. Calculate the remainder when 67 is divided by m.
11
Let q(j) = j**3 + 11*j**2 - 14*j - 12. Suppose -2*m + 0 = -70. What is the remainder when m is divided by q(-12)?
11
Suppose 0*t + 3*t - 20 = 4*q, 0 = -5*q + 5. What is the remainder when 27 is divided by t?
3
Let h(s) = -s**2 - 2*s + 2. Let p be h(-2). Let x be (-7)/3 - p/(-6). Let q = x + 27. What is the remainder when 48 is divided by q?
23
Let d(t) = -49*t + 1. Suppose 4*o + 2*i - 3*i - 47 = 0, -3*i = -3*o + 24. Calculate the remainder when d(-1) is divided by o.
11
Let x = -290 + 764. Let k be 2/(-8) + x/(-24). Calculate the remainder when 17 is divided by (-128)/k + 4/(-10).
5
Suppose -c + 3*c - 26 = 0. What is the remainder when 46 is divided by c?
7
Suppose -2*z - 2 = -0*z. Suppose n + 3*n - 184 = 0. Calculate the remainder when n is divided by 3 - (z - 1*12).
14
Let c(l) = l**2 - 3*l + 2. Let a be c(2). Suppose 5*n - 18 - 22 = a. What is the remainder when 23 is divided by n?
7
Let s(p) = p**2 + 4*p - 1. Let u be s(-5). Suppose 5*k + 343 = u*z, k + 401 = 5*z + 4*k. Let r = -44 + z. What is the remainder when r is divided by 13?
12
Calculate the remainder when 138 is divided by 9/3 + (-100)/(-4).
26
Let t = -105 + 223. Suppose -c = -t + 32. Calculate the remainder when c is divided by 29.
28
Suppose 0 = 5*j - 4*j - 16. Calculate the remainder when 63 is divided by j.
15
Let d(m) = m**2 + 3*m. Let w be d(-3). Suppose w = 3*g + t - 14, t - 2*t = 2*g - 9. Let l(q) = 5*q - 3. Calculate the remainder when l(g) is divided by 12.
10
Suppose -2*t = -4*x + 103 - 37, 3*t + 15 = 0. Suppose -d = 2*d - 5*l - x, -d = 3*l. Calculate the remainder when 3 is divided by d.
0
Suppose 0 = -2*b + 2, 5*t - b - 78 = 31. Calculate the remainder when 76 is divided by t.
10
Suppose s = -s. Suppose s = 5*d - 4*d - 12. Suppose -d + 2 = -p. What is the remainder when p is divided by 6?
4
Let f(b) = -b**3 + 9*b**2 + 10*b + 7. Let c be f(10). Suppose -6*x = -c*x + 31. What is the remainder when x is divided by 11?
9
Suppose -3*k - 5*j = -118, 5*j - 3*j - 184 = -5*k. What is the remainder when 142 is divided by k?
34
Suppose 0 = 3*q + 4*q - 77. What is the remainder when 18 is divided by q?
7
Let i = 8 + -5. Let y be (-3 - -4) + (-1 - -1). Suppose 0 = 3*q + 12, -5*q = i*h + y - 8. Calculate the remainder when 26 is divided by h.
8
Let g(j) = j + 3. Suppose -3*n + 2*q + 31 = 7*q, -2*q - 10 = -2*n. Let w(d) = -d**2 + 10*d - 4. What is the remainder when w(n) is divided by g(6)?
8
Let q(n) = n**2 + 7*n - 7. Let m be q(-8). Let c = 3 - m. Calculate the remainder when 2 is divided by c.
0
Suppose -g + 4 = -0*g. Calculate the remainder when 30 is divided by 18 - -4*(-2)/g.
14
Suppose -o = o - 28. What is the remainder when o is divided by 5?
4
Let u = 0 + 3. Suppose u*h = -3, -h - 1 - 5 = -y. Suppose y*j + 6 = 51. Calculate the remainder when j is divided by 5.
4
Suppose 4*k = 5*k - 35. Suppose -5*a + 2*w + 117 + 30 = 0, a - k = -w. Calculate the remainder when a is divided by 11.
9
Suppose 0 = 61*b - 67*b + 258. What is the remainder when 127 is divided by b?
41
Suppose -m + 470 = -105. Suppose -2*b - m = -7*b. What is the remainder when b is divided by 29?
28
Suppose -2*m = -3*m + 4. Suppose 2*i = -8, -2*u - m*i = -3*u + 20. What is the remainder when 33/3*(-2 + 3) is divided by u?
3
Let s = 25 - 16. Let d = -10 + 27. Calculate the remainder when d is divided by s.
8
Suppose -3 + 9 = -3*a - 3*y, -3*a - 2*y = 2. Suppose -5*o + 61 = -0*o + r, 4*o - a*r = 46. Calculate the remainder when o is divided by 5.
2
Suppose -9*s = -5*s - 196. What is the remainder when 96 is divided by s?
47
Suppose 4*d = d - 15, 2*d = 3*i - 205. Calculate the remainder when i is divided by 34.
31
Suppose 5*z + 11 = 4*j, -7*j + 2*j = -3*z - 30. Suppose -2*i + 2*h + 72 = 0, 0 = -4*i - 7*h + 2*h + 135. What is the remainder when i is divided by j?
8
Suppose u - 71 = -x, -4*x = -0*u + u - 71. What is the remainder when u is divided by 18?
17
Let d(w) = -16*w + 1. Let t be d(1). Let k = -7 - t. What is the remainder when 22 is divided by k?
6
Let v(i) = -i**3 - i**2 + 2*i. Calculate the remainder when 35 is divided by v(-3).
11
Suppose 0 = 2*l + 5*i - 47, -i = 4*l + i - 102. What is the remainder when 103 is divided by l?
25
Let b = -10 + 33. Suppose 7*o - 21 - 287 = 0. Calculate the remainder when o is divided by b.
21
Suppose 208 = 2*l + 4*m - 0*m, m + 520 = 5*l. Suppose 2*t + 2*c = 6*t + l, t + 3*c + 33 = 0. Let k = t + 57. What is the remainder when k is divided by 16?
14
