ed by z.
45
Suppose -3*d - 7 = -4*m, 5*m + 0*d + 30 = -4*d. Let y(t) = -15*t - 3. What is the remainder when 105 is divided by y(m)?
24
Let o(u) = -u**3 - 7*u**2 - 6*u + 9. What is the remainder when o(-6) is divided by 6?
3
Suppose 234 = 3*k - 3*y, 0 = k - 3*y - 0*y - 84. What is the remainder when k is divided by 19?
18
Let q = -239 - -244. Suppose 0 = f - 3*x + 11, 0*x - 2*x = f - 14. Suppose 16 = j - 3*y, -11 - 61 = -4*j + f*y. Calculate the remainder when j is divided by q.
4
Let r(t) = -16*t**3 - 2*t - 1. Suppose -b + 2*b = -4, -4*f = -3*b - 272. What is the remainder when f is divided by r(-1)?
14
Suppose 1 + 6 = u. Suppose -u*c = -3*c - 228. Let m = c - 29. Calculate the remainder when m is divided by 15.
13
Let f(l) = 40*l**3 - l. Let a be f(1). Suppose -w = -4*w + a. Calculate the remainder when w is divided by 8.
5
Let i(s) = -s**2 - 20*s + 3. Suppose 2*p + 5 - 21 = 0. Calculate the remainder when p is divided by i(-20).
2
Suppose 4*s - 8 = u, 0 = -5*s + 7*u - 4*u + 17. Let d(b) = b**2 + 9*b - 9. Let h be d(-10). Let t = h + s. Calculate the remainder when 2 is divided by t.
0
Let w(x) = -10*x + 45. What is the remainder when 178 is divided by w(0)?
43
Let d(z) = -12*z - 5. Let h(k) = k - 4. Let i be h(0). Let w be d(i). Let s = w + -24. What is the remainder when s is divided by 10?
9
Let l = 1 - 4. Let r be (-14)/(-2) - (1 - 1). Let q = r + l. Calculate the remainder when 7 is divided by q.
3
Let t(p) = 8*p - 9. What is the remainder when t(13) is divided by 24?
23
Suppose 2 = -2*u + 10. Suppose 0 = -2*h - 2*h - 20, -4*x - 4*h = u. Calculate the remainder when x is divided by 2.
0
Suppose -24 = -5*k + 3*k. Calculate the remainder when k is divided by 5.
2
Let q(k) = -k. Let y be q(-4). Suppose 4 = -y*m, -3*b - 5*m = -m - 8. Suppose s + 6*x - x = 52, 151 = b*s + x. What is the remainder when s is divided by 13?
11
Suppose 3*g - g = 6. Calculate the remainder when 47 is divided by 153/6*2/g.
13
Let n = 176 + -81. Let o = -46 + n. What is the remainder when o is divided by 83/5 + (-2)/(-5)?
15
Let n = 0 + 2. What is the remainder when (0 - n)/(14/(-329)) is divided by 16?
15
Let n = -12 - -16. What is the remainder when n is divided by 3?
1
Let d(k) = -k**2 - 8*k + 9. Let c = -67 + 70. What is the remainder when d(-8) is divided by c?
0
Suppose -4*n = -3*n - 3. Suppose -4*y + 58 = -4*j + 2*j, n*y + j - 36 = 0. Suppose 5*i - 12 - y = 0. Calculate the remainder when i is divided by 2.
1
Calculate the remainder when 12 is divided by 10/(-30) - (-44)/6.
5
Let p = -55 - -65. What is the remainder when (2 - -1)*(-38)/(-6) is divided by p?
9
Let a(x) = -3*x + 24. Suppose 4 = -2*g + 2*v - 14, 4*v = -g - 14. Calculate the remainder when a(g) is divided by 11.
10
Suppose -3 = -c - 1. Suppose -25 = -2*n - c*n + 5*b, -3*b = -n + 8. Suppose 8 = -4*x, 2*t + n*x + 2 = -2*t. Calculate the remainder when 4 is divided by t.
0
Let h be (0 - -1)*2/(-1). Let o(r) be the second derivative of r**4/6 + 2*r**3/3 + 3*r**2/2 + r. What is the remainder when 7 is divided by o(h)?
1
Let b be (0 - 9) + 2/2. Let h = b + 12. Let d(t) = 3*t + 1. What is the remainder when d(h) is divided by 5?
3
Suppose 0*s - 50 = -5*s. Let d = -11 + -21. What is the remainder when (-2 - 1 - d) + 0 is divided by s?
9
Suppose -4*j = -5*d - 113, 39 = 3*j + 3*d - 12. What is the remainder when 128 is divided by j?
18
Let x(w) be the third derivative of -w**4/3 + 4*w**3/3 - 10*w**2. What is the remainder when x(-8) is divided by 37?
35
Suppose -5*x = -5*n - 200, 5*x - 168 = -5*n + 2*n. Suppose 0 = 5*t - t - 52. What is the remainder when x is divided by t?
10
Let h(g) = 2*g**2 + 4*g + 4. Calculate the remainder when 59 is divided by h(-3).
9
Let j = -37 + 65. Suppose j = 3*o + o - 5*g, -3*o = -3*g - 21. What is the remainder when o is divided by 4?
3
Suppose 5*w - 8 = 22. Suppose w*p = p + 85. What is the remainder when p is divided by 9?
8
Let n(p) = -14*p - 6. Let c(r) = 5*r + 2. Let h(q) = 8*c(q) + 3*n(q). Calculate the remainder when 6 is divided by h(-3).
2
Let b(z) = 22*z - 1. Let h be b(2). Let p = h + -24. Let a = p + -3. What is the remainder when 46 is divided by a?
14
Suppose -2*p - 76 = -186. Suppose 15 = -5*g + p. Calculate the remainder when 15 is divided by g.
7
Suppose -j - j = 2*i - 372, -5*j + 3*i + 922 = 0. Suppose 3*l + 2*l - j = 0. What is the remainder when l is divided by 13?
11
Suppose 4*u - 10 = 3*u. Calculate the remainder when 38 is divided by u.
8
Let h = 47 - 25. Suppose -3*a = h - 259. Calculate the remainder when a is divided by 20.
19
Let v(i) = -i**3 - 7*i**2 - 6*i + 5. Let o(f) = -f**2 + 8*f - 7. Let p be o(6). Let x = 8 - p. What is the remainder when v(-6) is divided by x?
2
Let c(t) = t**3 + 8*t**2 + 5*t - 3. Calculate the remainder when c(-3) is divided by 14.
13
Suppose 2 + 2 = 2*n. Suppose -2*s - 3*s + 15 = 0, -s - 19 = -n*y. What is the remainder when 31 is divided by y?
9
Suppose 5*o - 7*o = -54. What is the remainder when o is divided by 14?
13
Let d = -4 - -9. Suppose 5*c - 23 = -2*x - 0*c, -d*x - c = -23. Suppose x*v - 44 = -2*z, 4*z - 96 = -8*v + 4*v. What is the remainder when z is divided by 14?
12
Let j(z) = z**2 + 9*z + 5. Let s(d) = d - 1. Let r be s(-8). Let h be j(r). Let g(w) = -w**2 + 7*w - 5. Calculate the remainder when 9 is divided by g(h).
4
Suppose 8*g - 442 = 278. What is the remainder when g is divided by 31?
28
Let v = -25 + 39. Let o(c) be the second derivative of -c**5/20 - c**3/2 + 2*c**2 - c. What is the remainder when o(-3) is divided by v?
12
Let j(o) = o**3 + 5*o**2 + o + 7. Let t be j(-5). Suppose 0 = -5*d + 4*x + 212, 2*d = -3*d + t*x + 206. What is the remainder when d is divided by 14?
12
Suppose 5*j = -3*d + 7 + 1, 0 = -4*d - 2*j + 20. Suppose -3*b + d = -3. Let a(y) = 3*y**3 - y. Calculate the remainder when b is divided by a(1).
1
Let v = 6 + 3. Calculate the remainder when v is divided by 7.
2
Suppose 5*i - 4*h + h - 681 = 0, 0 = -i + 3*h + 129. Suppose -q = 4*n - 27, q = -3*n + 27 + 2. Calculate the remainder when i is divided by q.
33
What is the remainder when 9/(-6) - 61/(-2) is divided by 17?
12
Let z = -28 - -49. Suppose z = 4*o - 11. Let r(q) = q**3 - 15*q**2 + 13*q + 28. What is the remainder when r(14) is divided by o?
6
Let r(n) = -n**2 + 14*n - 1. What is the remainder when r(6) is divided by 16?
15
Suppose 0 = p - 5*p + 4*m + 84, 2*p = m + 37. What is the remainder when 111 is divided by p?
15
Suppose 0 = -4*z - 8, -5*j + z + 3 + 24 = 0. Suppose j*s + 0*q - 2*q - 35 = 0, -7 = -s + 2*q. Calculate the remainder when 13 is divided by s.
6
Let d be (2 + 0)*(0 - 1). Let i be 5*3/(d/(-2)). Suppose i = 4*l - 41. What is the remainder when 41 is divided by l?
13
Suppose 0 = -3*l - 12, -f + 2*l = -l - 149. Calculate the remainder when f is divided by 46.
45
Let l(t) = t**2 - 8*t + 1. Let x be l(8). Suppose -4 = 2*g, -4*g = v - x + 5. Calculate the remainder when 9*v - (4 + -2) is divided by 12.
10
Suppose -17 = -d - 4*v, -127 = -5*d - 3*v + 4*v. Calculate the remainder when d is divided by ((-42)/(-15))/(3/15).
11
What is the remainder when 59 is divided by ((-15)/(-30))/((-2)/(-124))?
28
Suppose v = 5*k - 2*k + 10, 3*v = 4*k + 10. Let w be (-1)/(12/9)*k. Suppose -5*g + 4 = -w*g. What is the remainder when 3 is divided by g?
1
Let n(f) = 4*f**2 - 2*f + 1. What is the remainder when 3 is divided by n(1)?
0
Let q be 12*(-3 + 20/6). Suppose -v - q*y + 42 = 0, -4*v = -y - 222 + 54. Suppose -m + v + 40 = 0. Calculate the remainder when m is divided by 21.
19
Let g be -1 + -4*(-3)/6. Let c be 21/(-6)*g*-2. Let y(b) = 4*b + 2. Calculate the remainder when y(c) is divided by 11.
8
Suppose -9 = -i + u, 2*i + u = 4*i - 23. What is the remainder when 27 is divided by i?
13
Suppose -9*k = -4*k - 385. Calculate the remainder when k is divided by 21.
14
Let x be (-6)/10 - 226/(-10). Suppose 33 = r - x. What is the remainder when r is divided by 131/7 + (-2)/(-7)?
17
Let k = 77 - 72. What is the remainder when 18 is divided by k?
3
Let k = 63 + 5. Let r(y) = 2*y - 1. Let l be r(2). Calculate the remainder when k is divided by 94/4 - l/6.
22
Suppose -s + 26 = s. What is the remainder when s is divided by 5?
3
Let u = -44 - -54. Calculate the remainder when ((-29)/2)/((-1)/2) is divided by u.
9
Suppose 0 = 3*k - 8*w + 5