is the remainder when (18/(-4))/(1/(-2)) is divided by o - (-2 + 2 - 3)?
4
Let s(k) = -k**3 - 8*k**2 - 5. Let h be s(-8). Let l(t) = -6*t - 5. What is the remainder when l(h) is divided by 9?
7
Suppose -2*z + 3*s - 11 = 6, -5*z = -3*s + 56. Let u = -8 - z. Calculate the remainder when 13 is divided by u.
3
Let d(y) = -30*y - 1. Suppose 8 = 2*o - 3*c, 5*o - c = -2*c - 14. Let u(b) = 2*b**2 + 10*b + 8. Calculate the remainder when d(o) is divided by u(-6).
19
Let y(q) be the second derivative of q**4/12 - 2*q**3/3 + 3*q**2/2 + q. Calculate the remainder when 43 is divided by y(6).
13
Suppose -3 = 5*q - 5*n + 7, 2*q - 26 = -4*n. Let h(k) = k**3 - 3*k**2 + 4*k. What is the remainder when (8/(-10))/(8/(-340)) is divided by h(q)?
10
Suppose 0 = 3*d + 5 - 56. Calculate the remainder when 31 is divided by d.
14
Suppose 3*x - x = 0. Suppose 2*p + 2 - 10 = x. Calculate the remainder when p is divided by 3.
1
Let u = 13 + -6. What is the remainder when 19 is divided by u?
5
Suppose 5*v + 43 = g, g - 3*v = 2*g - 27. Suppose 0 = 5*z - 0*z. Suppose a = 4*s - 3*a - 48, -3*a = z. Calculate the remainder when g is divided by s.
9
Let g(l) = -2*l**3 - l + 2. Calculate the remainder when (1*-2)/(1 - (-60)/(-58)) is divided by g(-2).
18
Let q = 187 - 90. What is the remainder when q is divided by 34?
29
Let h(m) = -m - 1. Let l(k) = -1. Let p(s) = -2*h(s) + l(s). Suppose -3*n + 8*n = 5. Calculate the remainder when 6 is divided by p(n).
0
Suppose 3*r + 7 = 16. Suppose -4*n + u = -7, -r*n + 2*u + 3 = -u. Calculate the remainder when 10/(-25)*(-7 - -2) is divided by n.
0
Let h(q) = q + 10. Let d be h(-6). Let s(i) = 5*i**2 - i - 1. Let t be s(d). Suppose 5*g - t + 20 = 0. What is the remainder when g is divided by 4?
3
Suppose -2*a + 4*f = 3 - 15, 4*a - 4*f = 20. Suppose g = a + 1. Calculate the remainder when 17 is divided by g.
2
Let s(z) = -10*z + 8. Let h(k) = -k**2 + 16*k - 4. Let y be h(16). What is the remainder when s(y) is divided by ((-25)/(-4))/((-1)/(-4))?
23
Let i = -17 + 26. Let m = -6 - -23. Suppose 3*n + m + 1 = 5*a, -5*a + n = -26. Calculate the remainder when i is divided by a.
3
Let l(s) = -s**3 + 5*s**2 + 7*s - 7. Let c be l(6). Suppose -p + 19 = 2. Calculate the remainder when p is divided by 10*(2 + c) + -1.
8
Suppose -35 = -5*u + 5*s, -4*u + s + 15 = u. Calculate the remainder when 9 is divided by u.
1
Let m = 17 - -23. Let o = 8 + -4. Suppose -o + 46 = 3*i. What is the remainder when m is divided by i?
12
Let o = -21 - -23. Suppose n - o - 2 = 0. What is the remainder when 5 is divided by n?
1
Suppose -6*q + 35 = -49. What is the remainder when 39 is divided by q?
11
Let s = -129 + 206. Let j = s + -40. What is the remainder when 146 is divided by j?
35
Suppose 19 - 447 = -4*v. What is the remainder when v is divided by 27?
26
Let y be 1/(-3) - 9/(-27). Suppose 0 = 5*u - y*u + 20, -2*j + 30 = -5*u. What is the remainder when 17 is divided by j?
2
Let l(w) = 2*w**2 + 3*w + 1. What is the remainder when l(-4) is divided by 6?
3
Suppose -61 = -4*m + 5*p, -4*m + 69 - 13 = -4*p. What is the remainder when m is divided by 6?
3
Let i(p) be the second derivative of p**3/6 + 5*p**2/2 - p. Suppose 5*l = -2*j, 2*j = -j - 5*l. What is the remainder when i(j) is divided by 3?
2
Let x = -141 + 170. Calculate the remainder when 85 is divided by x.
27
Let v = 0 - -2. Suppose -2*k + 16 = -k - v*x, -3*x - 54 = -4*k. Suppose 2*s - 67 = -3*z - 20, -4*s - 4*z + 92 = 0. What is the remainder when s is divided by k?
10
Let g(q) = -q**2 + 3*q - 3. Let s(x) = 2*x**2 - 5*x + 6. Let i(f) = 5*g(f) + 3*s(f). Suppose -5*t - 14 = 11. What is the remainder when i(t) is divided by 10?
8
Suppose 0 = k - a, 0 = 5*k - 2*a - 0*a - 6. Suppose 4*o + t + 1 + 0 = 0, 2*o + 3 = -t. Calculate the remainder when k is divided by o.
0
Let s(t) = 76*t**2 + 1. What is the remainder when s(-1) is divided by 26?
25
Suppose -p + 0*p = -b, -6 = -2*b - p. What is the remainder when 11 is divided by (-2 + 11/2)*b?
4
Let j = 45 + -35. Let u = -30 + 49. What is the remainder when u is divided by j?
9
Let k(w) be the second derivative of w**4/4 - w**3/2 + 2*w**2 - 4*w. Let z be k(3). What is the remainder when (z/4)/(4/40) is divided by 19?
17
Let y(q) = -17*q. Let b be y(-4). Suppose -3*w = w - b. What is the remainder when w is divided by 5?
2
Let s(w) = 8*w**2 + w - 3. Let z be (-12)/(-4)*-1*-1. What is the remainder when s(z) is divided by 25?
22
Suppose -v - v + 24 = 0. What is the remainder when v is divided by 28/(-8)*(0 - 2)?
5
Suppose 5*b - 216 = -1. What is the remainder when 213 is divided by b?
41
Let r = 12 + 82. Calculate the remainder when r is divided by -8*(0 - 12/4).
22
Suppose 4*s = 3*z - 22, s + 20 = -4*z + 81. Let u = 56 - z. Calculate the remainder when u is divided by 15.
12
Let j = -44 - -69. Suppose 0*z = 4*z - 52. Calculate the remainder when j is divided by z.
12
Let n(f) = -5*f + 1. Suppose -5*r - l = 4*l + 25, -r + 10 = -4*l. What is the remainder when 43 is divided by n(r)?
10
Calculate the remainder when -10 - -10 - -1*73 is divided by 19.
16
Calculate the remainder when (-111)/(-5 + 16/4) is divided by 29.
24
Let h = 11 - 7. What is the remainder when 9 is divided by h?
1
Suppose 0 = -n + 4*u + 19, 2 = -n + u + 9. What is the remainder when 23 is divided by n?
2
Suppose -3*b = -0 + 6. Let u = 5 + b. Suppose -u*i = -5*i + 92. Calculate the remainder when i is divided by 16.
14
Let g(q) = -q + 1. Let v be g(2). Let p(d) = -d. Let m be p(v). What is the remainder when 9 is divided by (m/3)/(3/45)?
4
Let p(r) = r**2 + 5*r + 5. Let c be p(-5). Let u(i) = i**2 - 2*i - 4. Let v(d) = 9*d**2 - 3*d + 2. Calculate the remainder when v(2) is divided by u(c).
10
Suppose 5*l + 5*o = 135, 4*o + o - 15 = 0. Calculate the remainder when 69 is divided by (-8 - -7)/((-1)/l).
21
Let n(p) = p**2 - p - 1. Let r(f) = -f**3 + 4*f**2 - 2*f - 5. Let l(o) = -4*n(o) + r(o). Calculate the remainder when 5 is divided by l(-2).
2
Suppose -i = 0, 4*v - 3*v - 2*i = 0. Let g = -5 + 8. Suppose v = -g*n + n + 32. Calculate the remainder when 30 is divided by n.
14
Let c = -71 + 109. Suppose 0 = 5*h + 26 + 79. Let r = -1 - h. Calculate the remainder when c is divided by r.
18
Suppose 0 = v - 4, -3*j + 56 = -3*v - 22. Suppose 0 = -o - 4*o + j. Suppose -4 = -4*q - 4*s, 5*s - 2 = 4*q - o. Calculate the remainder when 1 is divided by q.
0
Let m(o) = 7*o**2 - 7*o - 4. Let l be 495/(-6)*(-4)/3. Suppose h - 90 = -4*h - 5*b, -5*h + 5*b = -l. What is the remainder when m(-2) is divided by h?
18
What is the remainder when 45*-6*(-5)/50 is divided by 10?
7
Suppose -5*h + 4*h - x + 18 = 0, 0 = -5*h + 3*x + 74. Calculate the remainder when 25 is divided by h.
9
Suppose 2*m + 0*m - 20 = 0. Calculate the remainder when 37 is divided by m.
7
Let c = 12 - 6. Let n = c + -3. Suppose -2*f + f - n*v + 23 = 0, 3*f = -3*v + 57. Calculate the remainder when f is divided by 9.
8
Suppose -6 = 5*q + 4. Let p(c) = -2*c**3 - 2*c**2 + c. What is the remainder when p(q) is divided by 2?
0
Let q be (-1 + 1)*(-2)/2. Suppose -4*t + q*t = 0. Suppose t = 5*d - d - 24. What is the remainder when d is divided by 4?
2
Suppose 4*j + 5*w = -j + 15, 0 = -3*j - w - 1. What is the remainder when 33 is divided by (-3)/(-6)*j - -19?
15
Suppose -5 = -3*a - 50. Let y be 4/(-22) + 1500/22. Let q = a + y. What is the remainder when q is divided by 18?
17
Let v(n) = -n**3 - 17*n**2 - 23*n - 7. Calculate the remainder when v(-16) is divided by 54.
51
Let f(x) = 24*x**2 - x + 1. Let u be f(1). Suppose 59*n = 64*n + 70. Let h = n + u. What is the remainder when h is divided by 4?
2
Let l = 9 - -8. What is the remainder when l is divided by 6?
5
Suppose -5*i - 1 - 14 = 0, -57 = -3*j - i. Let s = j + -6. What is the remainder when s is divided by 5?
4
Suppose 5*k - x = 15 - 4, -4*x - 8 = -2*k. Let l(r) = -4*r + 5*r + k*r - 2*r. Calculate the remainder when 10 is divided by l(3).
1
Suppose -4 = 2*l - 16. Suppose 50 = -4*i + l*i. Calculate the remainder when i is divided by 10.
5
Suppose 2*g = -3*k + 56, 0 = -0*g - g + 4*k + 39. What is the remainder when g is divided by 16?
15
Let s = -7 + 13. Calculate the remainder when 124/s + 4/(-6) is divided by 7.
6
Calculate the remainder when 10/40 - 63/(-4) is divided by 5.
1
Let c = 4 + 8. Calculate the remain