the remainder when 10/65 - (-984)/26 is divided by 10.
8
Suppose 4*k = 2*k + 24. Suppose -a - 2*a = -k. Suppose -5*g = -2*x + 25 + 17, 56 = 3*x - a*g. What is the remainder when 62 is divided by x?
14
Suppose 2*l = -4*u + 28, 4*u - 5*u + 14 = -3*l. Let m(z) = 4*z - 5. Let d = 8 - 3. Calculate the remainder when m(d) is divided by u.
7
Let w(m) = m**2 - 2*m - 5. Let p be w(4). Suppose -p*k - k = -224. Let i(q) = -q**3 - 3*q**2 + 4*q - 11. What is the remainder when k is divided by i(-5)?
18
Let s = 89 - 62. Let m = s - 13. Calculate the remainder when 27 is divided by m.
13
Let a(y) = -y**3 + y**2 - y - 5. Suppose 4*q + 0*x = x - 4, -3*x + 12 = 0. Let m be a(q). What is the remainder when 16 is divided by 6/15 - 28/m?
4
Suppose -2*j + 4*j + 2*f + 2 = 0, 10 = 5*f. Let n be 7/(-4) + 2/(-8). What is the remainder when 15 is divided by 8 + n - (1 + j)?
7
Let p = 25 + -47. Let v = p + 56. Calculate the remainder when v is divided by 12.
10
Let k(l) = -5*l - 4. Let y be k(-4). Suppose y = 3*b - 44. Calculate the remainder when b is divided by 7.
6
Suppose -5*n + 2 = 2*f, -20 = -n - 3*n + 3*f. Suppose -q = -6*q + m + 59, -q = -m - 11. Suppose n*s = -s + q. Calculate the remainder when 11 is divided by s.
3
Let v = 192 - 130. Let t(k) = 2*k + 10. Let a be t(11). Let j = a + -16. Calculate the remainder when v is divided by j.
14
Suppose w = -3*t + 46, -t + w - 2 = -12. What is the remainder when 46 is divided by t?
4
Let b(i) = -i + 3. Let j = 112 + -92. Calculate the remainder when j is divided by b(-4).
6
Let r(a) = -a + 1. Let v(m) = m**3 - 3*m**2 - m + 2. Let y(x) = -4*r(x) + v(x). What is the remainder when 20 is divided by y(3)?
6
Let h be (-6)/(-9) + 768/9. Suppose -6 = -4*v + h. Calculate the remainder when 68 is divided by v.
22
Let h = 10 - 5. Calculate the remainder when 14 is divided by h.
4
Suppose -50 - 450 = -4*b. What is the remainder when b is divided by 21?
20
Let g = -21 - -8. Let u = g + 31. Let s = -20 - -30. Calculate the remainder when u is divided by s.
8
Suppose q + 2 = 3*q. Calculate the remainder when 4 is divided by q.
0
Let j(a) = a**3 + 4*a**2 + 2*a - 1. Let g be (-3)/5 - 24/10. Let u be j(g). Calculate the remainder when 1*2/u*9 is divided by 5.
4
Let q(c) be the third derivative of c**6/60 - c**5/30 + c**4/12 + 2*c**3/3 + 4*c**2. What is the remainder when q(3) is divided by ((-24)/(-30))/(2/30)?
10
Let w(y) be the third derivative of y**4/24 + 19*y**3/2 - y**2. Let r be w(0). Let s = r + -25. What is the remainder when s is divided by 17?
15
Let l(r) = -r**2 + 4*r + 0*r**2 + 7 + 2*r**2. What is the remainder when l(-5) is divided by 7?
5
Suppose -5*s + 3 = -7. Calculate the remainder when 3 is divided by s.
1
Let t(v) = v**2 - 3*v - 8. Let h be t(6). Calculate the remainder when 89 is divided by ((-15)/h)/(3/(-46)).
20
Suppose -40*j = -46*j + 30. What is the remainder when 11 is divided by j?
1
Suppose 18*q = 21*q - 12. Calculate the remainder when 4 is divided by q.
0
Suppose 0 = f + f - 32. Calculate the remainder when 0/2 + 32 - 1 is divided by f.
15
Let v = 4 + -2. Suppose -4*j - v*x + 128 = 0, x + 2*x = 0. Suppose 0 = -5*d - 5*l + 75, 2*l - 19 = -d + 3*l. Calculate the remainder when j is divided by d.
15
Let r(h) be the second derivative of h**4/6 - h**3/2 - 3*h**2/2 - 2*h. Calculate the remainder when 187/9 + 12/54 is divided by r(-2).
10
Let o(y) = 2*y**3 - 14*y**2 + 2*y - 9. What is the remainder when o(7) is divided by 2/6 + (-16)/(-6)?
2
Suppose 8*i - 5*i - 36 = 0. Calculate the remainder when 21 is divided by i.
9
Suppose 0*s = 4*z + 4*s - 188, -4*z + s = -208. Let x = z - 30. Calculate the remainder when x is divided by 6.
3
Let i(z) = -z**3 + 1. Let t be i(1). Let f(d) = 15 - d - 1 + 4. Calculate the remainder when 53 is divided by f(t).
17
Suppose -4*r - 5*y + 573 = -0*y, -5*y = r - 132. Let i = r - 48. What is the remainder when i is divided by 34?
31
Suppose 2*x = -30 + 4. Let z = 7 + x. Let p(u) = -3*u - 7. What is the remainder when 31 is divided by p(z)?
9
Let l = -27 - -33. Calculate the remainder when 19 is divided by l.
1
Suppose 30 = 19*j - 17*j. What is the remainder when 26 is divided by j?
11
Let h = 31 - 19. Let z be 78/(-4) + 6/(-4). Let r = 56 + z. What is the remainder when r is divided by h?
11
Let r be (-3 + 0)*(4 - 2). Let g(o) = o**3 + 6*o**2 - 3*o - 5. Calculate the remainder when g(r) is divided by 8.
5
Let a(y) = y**3 - y**2 + 4*y - 3. Suppose 3*o - 5*o - 5*s - 4 = 0, s + 11 = 3*o. Suppose 6 + 0 = o*i. What is the remainder when 16 is divided by a(i)?
7
Suppose 4*v - 24 = h - 0, -4*v - 4*h + 24 = 0. Calculate the remainder when 22 is divided by v.
4
Let n(i) = i**3 - 7*i**2 - 11*i + 15. Let p be n(8). Calculate the remainder when 6/p - (-113)/3 is divided by 13.
11
Let x = -45 - -59. What is the remainder when 82 is divided by x?
12
Let q(p) = -p - 3. Let s be q(-6). Suppose 0 = -4*n - 5 + 13. Suppose t - n*r - 9 = 0, t + 9 = -2*t - s*r. Calculate the remainder when 3 is divided by t.
0
Let q(t) be the first derivative of 17*t**2/2 + 4*t + 3. Calculate the remainder when q(3) is divided by 19.
17
Let j = -2 + 21. Suppose -q = -2*q + j. What is the remainder when 75 is divided by q?
18
Suppose -f = -5*j - 37, f - 3*j = -17 + 50. Calculate the remainder when f is divided by 5.
2
Let f(g) = 22*g**2 + 2*g - 1. What is the remainder when f(1) is divided by 13?
10
What is the remainder when 81 is divided by 63/2*(40/(-15))/(-4)?
18
Let x(f) = f**3 - f**2 + f + 4. Let q be x(0). Suppose -18 = -0*h - h - q*s, -3*h + 3*s = -54. Calculate the remainder when h is divided by 4.
2
Let l be 1/(3/2)*45. Suppose -2*n = 3*n - 20. Calculate the remainder when (-3)/(-6)*n + l is divided by 17.
15
Suppose -7*m + 4 = -2*m + 3*t, m + t = 0. Suppose -4 = -2*p + m. Calculate the remainder when 1/p*(147 + 0) is divided by 17.
15
Suppose 0 = -y - 1 - 0. Let v = y - 4. Let n = 17 - v. Calculate the remainder when 64 is divided by n.
20
What is the remainder when 56 is divided by (0 - 1)/(10/(-190))?
18
Suppose 230*s = 226*s + 40. Let k = 8 + -14. Calculate the remainder when s is divided by k/5*(-20)/6.
2
Let b be 5 + 2 + -2 + -3. Suppose 4*h + j - 6 = 0, b*h = 5*h - 2*j - 10. What is the remainder when 2 - 1 - -4*1 is divided by h?
1
Let i be (-4)/10 - 17/(-5). Suppose i*x + 5*k = 4*x - 12, x - 44 = -3*k. Let r = x - 21. What is the remainder when 31 is divided by r?
9
Let c = -6 + -3. What is the remainder when 25 is divided by (2 + c)/(-6 + 5)?
4
Let p(k) = -k - 3. Calculate the remainder when 2 is divided by p(-5).
0
Suppose -13*k - 92 = -17*k. Calculate the remainder when k is divided by 12.
11
Let k be (-1 + 2)/(3/(-66)). Let u = 62 + k. What is the remainder when u is divided by 7?
5
Suppose z + j = 10, -5*z + j = 3*j - 35. Suppose -3*x - 3*g + 27 = 3, 0 = 4*x - z*g - 50. Calculate the remainder when 28 is divided by x.
8
Calculate the remainder when 2/(-4)*-18*2 is divided by 10.
8
Suppose 2*z + 13 = 31. What is the remainder when 52 is divided by z?
7
Let s(o) = o**3 + 4*o**2 + 3*o + 4. Let h be s(-4). Let r = 40 + h. Calculate the remainder when r is divided by 11.
10
Let f be 0*-1*(-2)/4. Suppose d - 10 = -f. What is the remainder when d is divided by 6?
4
Let l(g) = 6*g**2 - 2*g - 3. Let c(h) be the second derivative of h**3/3 - 4*h. Calculate the remainder when l(3) is divided by c(6).
9
Suppose 65 = -0*f + 5*f. Suppose -3*p - f = -4*i - 4*p, -5*p = 15. Calculate the remainder when i is divided by 3.
1
What is the remainder when 0 + ((-1)/(-4))/((-2)/(-24)) is divided by (-1)/(0 - (1 - 0))?
0
Let t(v) = v + 29. What is the remainder when 29 is divided by t(-13)?
13
Let l(s) = -s**2 - 2*s + 3. Let a be l(2). Let r = 1 - a. Calculate the remainder when r is divided by 2.
0
Suppose -4*b = -0*b - 12. Calculate the remainder when 10 is divided by b.
1
Let c(j) = -3*j - 5. What is the remainder when 2 + (-9)/9 + 35 is divided by c(-6)?
10
Let l(w) = 10*w**2 - 2*w - 1. Suppose -g = -4*n + 9, 8*g - 1 = -3*n + 3*g. Calculate the remainder when l(n) is divided by 19.
16
Suppose -4*o + 161 = 4*s + 33, 3*s + 114 = 3*o. Calculate the remainder when o is divided by 19.
16
Let p(u) = u**3 - 10*u**2 + 9*u - 6. Let h be p(9). Let v(k) = k**3 - 14*k**2 + 14*k - 12. What is the remainder when 4/3*h/(-4) is div