 the remainder when 2*v*(-6)/(-12) is divided by 23?
21
Suppose 0 = -5*x - 179 + 609. What is the remainder when x is divided by 26?
8
Suppose -9*v + 5*v = -28. What is the remainder when 25 is divided by v?
4
Suppose -5*z + 656 - 159 = 3*d, -481 = -5*z + d. What is the remainder when z is divided by 7?
6
Let o be -3*((-370)/6 - -3). Suppose 3*f = -56 + o. What is the remainder when f is divided by 11?
7
Let i = -8 + 26. Let j(g) = g**2 + 4*g - 2. Let v be j(-5). Suppose 208 = 7*l - v*l. What is the remainder when l is divided by i?
16
Suppose 0 = -s + 5 + 5. Calculate the remainder when s is divided by 4.
2
Let j(n) = 3*n + 9. Let z be j(-8). Let l = z - -16. Let x(w) = -2*w - 1. What is the remainder when x(-1) is divided by l?
0
Suppose 5*f = 6 + 9. Suppose -5 = -f*o + 2*o. What is the remainder when o is divided by 2?
1
Let v = 20 - 14. What is the remainder when 11 is divided by v?
5
Suppose -8 - 19 = -3*o. Let b(n) be the first derivative of n**4/4 + 2*n**3 - 9*n**2/2 + 3*n + 1. Calculate the remainder when b(-7) is divided by o.
8
Suppose -5*z + 2*q + 35 = 0, q - 6*q - 35 = -5*z. Suppose m - 7 = -3*s + 16, 4*s - 4 = 0. What is the remainder when m is divided by z?
6
Let r(z) = -z**3 + 5*z**2 + 4. Let f be r(5). Let j be f/22 + (-40)/(-22). Suppose -3*v - j*v + 20 = 0. Calculate the remainder when 6 is divided by v.
2
Suppose -4*x = -2*m - 2, 0 = 2*x - 0 - 6. Let b = -3 - -5. What is the remainder when m is divided by b?
1
Suppose -p + 4*p = 6. Let h(d) = -d**3 - 12*d**2 - 19*d + 12. What is the remainder when p is divided by h(-10)?
0
Suppose 2*i = 18 + 14. Let l be (-2 - (-39)/12)*24. Suppose l = 3*k + k + 3*q, 12 = k + 3*q. What is the remainder when i is divided by k?
4
Let f = -4 + 17. Calculate the remainder when 23 is divided by f.
10
Let u = -4 + 6. Calculate the remainder when 20 is divided by 12 - (u + (-2)/2).
9
Let f(c) be the third derivative of -c**4/24 + c**2. Let t be f(-1). Let z(l) = 8*l**3 + 2*l**2 - 1. What is the remainder when z(t) is divided by 5?
4
Let c be (24/(-20))/(6/(-20)). Suppose 3*p = c*p - 38. What is the remainder when p is divided by 13?
12
Let n(h) = 174*h**3 + 2*h**2 - 2*h + 1. Let s be n(1). Suppose -s - 100 = -5*m. Let v = 37 + -18. What is the remainder when m is divided by v?
17
Let j(g) = g**2 - 7*g - 7. Let t be j(7). Let m(i) = -3*i - 1 - 4 - 4. What is the remainder when 22 is divided by m(t)?
10
Calculate the remainder when 478/3 + 3/9*-1 is divided by 27.
24
Suppose 7*r - 10*r = -234. Suppose -b - b = -r. Calculate the remainder when b is divided by 20.
19
Calculate the remainder when 38 is divided by (24/(-10))/((-36)/120).
6
Let w = 11 - -5. Suppose -3 - 13 = -5*f + l, f + 3*l - w = 0. Let g = f + 2. Calculate the remainder when g is divided by 3.
0
Let f be 2/(-6) - 38/(-6). Let t = 0 + f. Calculate the remainder when t is divided by 4.
2
What is the remainder when 89/7 - 26/(-91) is divided by 7/2*1*2?
6
Suppose -3*s + 20 = -8*s. What is the remainder when (-3 - 10/s)*-46 is divided by 12?
11
Let w = -6 - -12. Suppose -b = -w + 1. What is the remainder when 8 is divided by b?
3
Let a = -1 - -2. Suppose 0 = 11*m - 30*m + 19. Calculate the remainder when m is divided by a.
0
Let x(k) = 5*k + 68. What is the remainder when 26 is divided by x(-12)?
2
Let l = -17 - -58. Let f(n) = n**2 - 12*n + 14. What is the remainder when l is divided by f(12)?
13
Suppose 88 = 4*x - 4*n, 5*n - 3*n + 8 = 0. What is the remainder when 196 is divided by x?
16
Suppose 117 = 6*h - 225. Calculate the remainder when h is divided by 29.
28
Let z = -74 - -83. What is the remainder when 17 is divided by z?
8
Let q(u) = -6*u - 2. Suppose -4*n - n = -15. Suppose -y + 0*y - n = 0. What is the remainder when q(y) is divided by 9?
7
Suppose -r = r - 62. Suppose -4*l + 4*a + 103 = r, -5*a = 4*l - 36. Let f = 185 - 132. What is the remainder when f is divided by l?
11
Let x(u) be the second derivative of u**5/4 - u**4/6 + u**2/2 + 2*u. What is the remainder when 11 is divided by x(1)?
3
Suppose 0 = 13*u - 15*u. Suppose u = -n - 2*c + 33, -2*n + n = -3*c - 48. What is the remainder when n is divided by 10?
9
Let q(k) = 20*k - 13. What is the remainder when q(3) is divided by 8?
7
Suppose 22 = 2*r - 20. Suppose -4*v = m - 28, -5*v - 52 = -m - v. What is the remainder when m is divided by r?
19
Let l(x) = 17*x**2 + 1. Suppose 7*o = 2*o - 215. Let b = 10 - o. What is the remainder when b is divided by l(-1)?
17
Let m(j) = 4*j**3 - j - 1. Let n be m(-1). Let s(c) = -6*c + 2. What is the remainder when s(n) is divided by (-2)/(-8) + (-70)/(-8)?
8
Suppose -5*y - 28 = -148. Let i = y - 14. Let b(k) = 18*k**2 + 1. Calculate the remainder when b(1) is divided by i.
9
Let b = 10 + -7. Suppose 2*d - b*d + 2*c + 10 = 0, -5*c - 20 = 0. What is the remainder when d/5 + 212/20 is divided by 4?
3
Suppose -4*j - j + 3*q + 9 = 0, j - 2*q - 6 = 0. Suppose j = -3*a - 6, 4*g - 5*a = 65 - 15. Calculate the remainder when 29 is divided by g.
9
Suppose 6*x = 5*x + 3. Calculate the remainder when 7 is divided by x.
1
Let t(r) = 5*r + 7. Calculate the remainder when t(8) is divided by 12.
11
Let w(h) = h**3 + 5*h**2 - 10*h - 8. Let i = -15 + 9. Let y be w(i). Suppose 0 = -2*b + 4*b - y. What is the remainder when 14 is divided by b?
6
Suppose -6*m + 27 = -3*m. Calculate the remainder when 80 is divided by m.
8
Suppose 1 = -i - 2. Let y(k) = k**3 + 2*k**2 - 5*k - 2. What is the remainder when 11 is divided by y(i)?
3
Suppose 2*h = z - 3, -4*z + 5*h + 6 + 6 = 0. What is the remainder when z is divided by 3?
0
Let a(t) = t**3 + 13*t**2 + 25*t - 24. What is the remainder when 179 is divided by a(-10)?
23
What is the remainder when 70 is divided by (-150)/(-8) + (-12)/16?
16
Suppose -24 = -k - 3*k. Suppose -5*n = f + 2, -2*f = -6*n + 2*n - 24. Let l = f - k. Calculate the remainder when 3 is divided by l.
1
Let n(r) = -r**3 + 6*r**2 - 3*r - 5. Let m be n(5). Suppose -5*s = m*y - 55, 3*s + s - y - 59 = 0. Calculate the remainder when 26 is divided by s.
12
Let s(p) = -8*p**3 + 1. Let o be s(-1). Let j = o + -3. What is the remainder when 10 is divided by j?
4
Let r(i) = i**3 - 16*i**2 + 2*i - 15. What is the remainder when r(16) is divided by 10?
7
Suppose 6 = 3*x, -i + 69 = 5*x - 4*x. Calculate the remainder when i is divided by 17.
16
Let p = -198 - -382. Suppose 6*k - p - 2 = 0. Let h = -13 + 29. What is the remainder when k is divided by h?
15
Suppose 3*f - 5*f + 26 = 0. Calculate the remainder when 22 is divided by f.
9
Suppose -3*m + 3*o = -30, -o - 6 = o. What is the remainder when 39 is divided by m?
4
Calculate the remainder when 77 is divided by 12/(-8)*((-520)/(-6))/(-5).
25
Let i(z) be the third derivative of 5*z**4/24 - z**3/3 + 5*z**2. Calculate the remainder when 8 is divided by i(1).
2
Let u(s) = 5*s + 2. Calculate the remainder when 34 is divided by u(1).
6
Let g(c) = c**3 + c + 10. Calculate the remainder when 2/6 - (-83)/3 is divided by g(0).
8
Suppose -48 = -0*d - 2*d. Calculate the remainder when 95 is divided by d.
23
Suppose 3*j - 95 = 4*y, -5*j - 2*y + 86 = -29. Calculate the remainder when j is divided by 7.
4
Let x(v) be the third derivative of v**5/12 - v**4/24 - v**3/6 - v**2. Suppose 6 + 6 = 4*r. Calculate the remainder when x(-1) is divided by r.
2
Suppose 6*z - z + 28 = -2*y, 4*z = y + 27. What is the remainder when 3/(37/y + 2) is divided by 20?
17
Suppose -3*y = -y + 62. Let t = y - -47. What is the remainder when t is divided by 6?
4
Let b = -42 - -113. Calculate the remainder when b is divided by 19.
14
Let y(x) = -x**2 - 5*x + 1. Let z = 10 + -8. Suppose 0 = -z*o + 5*o - 24. What is the remainder when o is divided by y(-4)?
3
Suppose 5*o - 10 - 10 = 0, 3*n = -5*o + 194. What is the remainder when 228 is divided by n?
54
Let d be 0 - (-4 + -1) - 2. Suppose -12 = 4*j, -d*j - 20 - 1 = -q. Calculate the remainder when q is divided by 5.
2
Suppose -t + 5*o = -7, 2*t - 6*t = -5*o - 43. Let q(w) = w**2 - w + 23. What is the remainder when q(0) is divided by t?
11
Suppose 90 = 4*f + 2. Let d = 8 - 11. What is the remainder when (f/d)/((-3)/9) is divided by 8?
6
Suppose 0 = -c + 5*c - 260. Suppose c = -4*o + 389. What is the remainder when o is divided by 21?
18
Let r(f) = 8*f**2 - 6. Calculate the remainder when r(3) is di