6) is divided by (-3)/(0/(-2) + -1)?
1
Suppose n = -f + 1 - 0, f = n + 11. Calculate the remainder when (44/f)/((-3)/(-9)) is divided by (-52)/(-7) - (-4)/7.
6
Suppose u = -0*u - 7. Let f = u + 10. Suppose -2*c - f*c = -3*q + 93, -q + 2*c = -32. What is the remainder when 51 is divided by q?
25
Let q(i) = 2 + 3*i - 3 - i + 5*i**2 + i**2. Let v be q(1). Let f = v + 16. Calculate the remainder when f is divided by 13.
10
Let z(l) = -53*l**3 - 2*l**2 - l. Let r be z(-1). Suppose 0 = -s + 5*s - r. Let u(d) = -11*d + 5. What is the remainder when u(-3) is divided by s?
12
Suppose j - 6*j + 50 = 2*c, 2*c - j = 38. Suppose 2*v - 29 = 47. Calculate the remainder when v is divided by c.
18
Calculate the remainder when 35 + (0 - (0 + 0)) is divided by 2/9 + (-640)/(-36).
17
Let i(a) = -a**3 - 10*a**2 - 10*a - 6. Let g be i(-9). Let p = g + -1. Let o(b) = -b**3 - 5*b**2 - 2*b - 7. Calculate the remainder when o(-5) is divided by p.
1
Suppose 0 = -4*p + 10*p - 120. Calculate the remainder when 72 is divided by p.
12
Let a be 3*(1 + 1)/2. Suppose 2*y = -a*y - 3*s + 218, 26 = y + 5*s. What is the remainder when y is divided by 24?
22
Let m(r) be the second derivative of -r**3/6 + 9*r**2/2 + 3*r. Calculate the remainder when 7 is divided by m(7).
1
Suppose -5*a - m = 6 - 43, 0 = -5*a + m + 43. Calculate the remainder when 11 is divided by a.
3
What is the remainder when 149 + (-4)/(-12)*-3 + 0 is divided by 38?
34
Let n = -6 + 13. Let z = n - 3. What is the remainder when 11 is divided by z?
3
Suppose 2*z - 4*z = -5*u + 58, 5*u + 4*z = 34. Suppose -2*t - 2*l = -76, -4*t - 3*l + 133 = -18. Calculate the remainder when t is divided by u.
7
Let u = -5 + 11. Suppose -5*a + 56 = 1. Calculate the remainder when a is divided by u.
5
Let r(q) = 6*q**3 + 24*q**2 - 21*q + 19. Let h(z) = -z**3 - 5*z**2 + 4*z - 4. Let d(v) = -11*h(v) - 2*r(v). Calculate the remainder when d(5) is divided by 16.
14
Let g(h) = -6*h - 12*h - 6*h - 1. Let b(y) = -11*y + 12. What is the remainder when b(-3) is divided by g(-1)?
22
Suppose 3*a + 55 = 8*v - 3*v, 5*v + a - 35 = 0. Calculate the remainder when 23 is divided by v.
7
Suppose 0 = 2*b + b + 3*q - 72, -2*q - 78 = -4*b. Calculate the remainder when 58 is divided by b.
16
Suppose 42 = 5*s - 4*s. Calculate the remainder when -3 - 29/2*-2 is divided by (s/15)/((-2)/(-10)).
12
Suppose 38 = 3*d + 2*o, 2*o = 6*o + 8. Calculate the remainder when 26 is divided by d.
12
Let p(s) = 16*s + 1. Let q be p(2). Let f = q + -4. What is the remainder when f is divided by 8?
5
Let j(p) = -22*p - 1. Suppose 1 = -y + 4*c + 5, -y + 2*c + 6 = 0. Calculate the remainder when j(-1) is divided by y.
5
Let f(a) = a**2 + 2*a + 6. Let c be f(-4). Suppose -w + 3 = -c. Calculate the remainder when w is divided by 9.
8
Let b(d) be the third derivative of -1/120*d**6 + 1/3*d**3 + 0*d**4 + 0 + 0*d - 3*d**2 + 1/15*d**5. Calculate the remainder when b(3) is divided by 6.
5
Suppose s = 2*s. Let g = s - -13. Suppose 0 = -0*u - u + g. What is the remainder when 38 is divided by u?
12
Suppose -4*s + 17 + 3 = 0. Suppose -40 = -3*d + 4*k + 23, s*d + 3*k - 76 = 0. Let q(x) = -3*x - 6. What is the remainder when d is divided by q(-5)?
8
Let l(v) = -v**2 - 5*v - 2. Let c(d) = -d**3 - 3*d**2 + 3*d - 3. Let t be c(-4). Calculate the remainder when 2*21/6*t is divided by l(-2).
3
Suppose -3*y - 2*u = -437, 4*y + 5*u - 536 = 56. Calculate the remainder when y is divided by 36.
35
Suppose -4*a + 22 = 3*w - 19, 0 = -4*w - a + 46. Suppose -105*h - 205 = -110*h. Calculate the remainder when h is divided by w.
8
Let p be 1/2 + (-6)/12. Suppose 35 = -5*m - x, -4*m - x = -3*m + 7. What is the remainder when 49 is divided by (p - 1)*(m - 10)?
15
Let l(k) = -k - 6. Let v be l(-8). Suppose 0 = 5*f - 3*w + 2, 3*w = -3*f + 4*w + v. What is the remainder when -1 + 2 + (0 - -2) is divided by f?
1
Let i(m) = -32*m - 9. What is the remainder when i(-2) is divided by 14?
13
Let c = 17 - -1. Suppose -x + 0 = -2*w - 3, 2*w = 2*x - 8. Calculate the remainder when 34 is divided by ((-2)/(-3))/(w/c).
10
Let i(p) = -p**3 - 3*p**2 - 2*p - 2. Let a be i(-3). Calculate the remainder when (-104 - -2)/((-6)/a) is divided by 23.
22
Let n(h) = h**3 - 7*h**2 + 15*h - 9. What is the remainder when 89 is divided by n(6)?
44
Suppose 3*t = 2*t + 1. Calculate the remainder when 4/(-6)*(-6)/4 is divided by t.
0
Let h = -2 + -5. Let o(p) = -p**3 + 11*p**2 - 16*p - 19. Let n be o(9). Calculate the remainder when 51 is divided by 20 + h - (-1 - n).
12
Let u = 381 + -201. Calculate the remainder when u is divided by 46.
42
Suppose -2*x + 8 = 4*i, 5*x - 20 = -0*x + 2*i. Suppose -5*k - 85 = -5*m, 0*k - x*k - 8 = 0. Let a = -5 - -13. What is the remainder when m is divided by a?
7
Let p = 26 - 25. Let c = p + 28. What is the remainder when c is divided by (-1)/(-1 + (-28)/(-30))?
14
Let d be (2/4)/(5/110). Let g = d + -4. What is the remainder when 19 is divided by g?
5
Let z(u) = u**2 + 7. Suppose -4*m - 4*p = 91 + 117, 5*m - p + 230 = 0. What is the remainder when (-1 - (0 - 0))*m is divided by z(3)?
15
Suppose 3*k = -2*k + 5, -2*k = -4*b + 54. What is the remainder when 95 is divided by b?
11
Suppose 0 = 8*y - 5*y - 114. What is the remainder when y is divided by 10?
8
Let a = 21 + -15. What is the remainder when 17 is divided by a?
5
Let o(k) = -10 + 3*k - 2*k**2 + k**3 + 7 + 5. What is the remainder when o(2) is divided by 4?
0
Let z(a) = a**2 + 4*a - 4. Let k be z(-5). Suppose 5*r - 43 = -2*h, 2*r = 3*h + k + 1. What is the remainder when r is divided by 3?
1
Let s = 14 + -25. Let d = -7 - s. Suppose 47 = 4*l + 7. What is the remainder when l is divided by d?
2
Suppose 0 = 2*r + 4*j + 108, -2*r - 2*r - 5*j = 201. Let n = r + 78. Calculate the remainder when n is divided by 18.
16
Let v(u) = 3*u**3 + 2. Let i be v(2). What is the remainder when 74 is divided by i/(-91) + (-354)/(-14)?
24
Let o = -7 + 10. Suppose c - 20 = -o*c. Suppose -2*f = -f - c. What is the remainder when f is divided by 2?
1
Let i(u) = -2*u - 1. Let f = -31 - -57. Calculate the remainder when f is divided by i(-4).
5
Let c(v) be the first derivative of 45*v**2/2 + v - 2. Calculate the remainder when c(1) is divided by 24.
22
Let g(z) = -z**2 - z + 3. Let k be g(0). Suppose -b - r + 371 = k*b, 2*r = -5*b + 466. Calculate the remainder when b is divided by 31.
30
Suppose 0 = -2*u + 6 + 2. Let v = 11 - u. Calculate the remainder when 27 is divided by v.
6
Suppose -12 = -v + 15. Suppose 32*p - 33*p = -14. Calculate the remainder when v is divided by p.
13
Let z = 0 + 24. Suppose -7*l = -4*l - z. What is the remainder when l is divided by 5?
3
Let p(f) = f**2 - f - 2. Let l be p(3). Let x = 6 - l. Let m(s) = s**3 + s. Calculate the remainder when m(x) is divided by 6.
4
Suppose -2*t + 70 = 2*s, 2*t + 0*t + 4*s - 80 = 0. What is the remainder when t is divided by 1*18 - (-6 + 8)?
14
Let k = 193 - 172. Calculate the remainder when k is divided by 11.
10
Let s = 8 - 1. What is the remainder when 25 is divided by s?
4
Suppose -4*j - 5*v + 31 = 0, -4*v + 10 = -2. Suppose 0 = 4*m + j*y - 116, -m + 6*m - 161 = -y. Calculate the remainder when m is divided by ((-17)/(-4))/(2/8).
16
Suppose -2*m = -4*x - 80, 5*x = -0*m - m + 5. Calculate the remainder when m is divided by 16.
14
Suppose -6*j = -3*j - 12. Let u(i) be the first derivative of -i**4/4 - 13*i**3/3 - 7*i**2 - 17*i - 5. Calculate the remainder when u(-12) is divided by j.
3
Let i = 74 - 54. Suppose 0*o + 2*o = 4, l + 3 = 3*o. Calculate the remainder when -3*(2 - 64/l) is divided by i.
18
Suppose -w + 2 = 9. Let k(o) = -4*o + 2*o - 4 + 1 - 6. What is the remainder when 13 is divided by k(w)?
3
Suppose l + 2*l = 6. Suppose -z - 5 + l = 0. Let v = -2 - z. What is the remainder when 2 is divided by v?
0
Suppose -3*v + 29 = m, 5*m - 55 - 30 = -3*v. What is the remainder when 51 is divided by m?
9
Calculate the remainder when (-42)/4*(-24)/14 is divided by 4.
2
Let m = 63 - 45. Let i be 3/(-3) - (-10)/2. Suppose 35 = u + i*u. What is the remainder when m is divided by u?
4
Let z = 6 + 1. Let i(s) = s - 3. Suppose 5*r = -0*r + 30. What is the remainder when r is divided by i(z)?
2
Let q = -4 + 22. Calculate the remainder when 15 is divided by (-56)/(-9) + (-4)/q.
3
Let z(i) = -4 + 3 + i - 3*i. Let q(g) 