der when 50 is divided by z(0).
24
Let w be 0/2 + 24/6. Suppose -a = 7*o - 2*o - 196, 4*o - w*a - 152 = 0. What is the remainder when o is divided by 14?
11
What is the remainder when 68 is divided by ((-3)/18*-8)/((-1)/(-18))?
20
Let p(w) = 2*w + 4. Let c be p(0). Suppose 8 = c*i - 116. What is the remainder when i is divided by 17?
14
Suppose 5*z + 2 = -3*n - 3, z = n + 7. Suppose -z*m = u - 7, -2*m + 10 = 3*m - 5*u. Let d = -16 + 24. Calculate the remainder when d is divided by m.
2
Suppose -2*t = -4*j - 0*t + 136, -175 = -5*j + 5*t. Let o(q) = q**3 - 8*q**2 + 8*q + 2. What is the remainder when j is divided by o(7)?
6
Let d be (-12)/(9/(-3)) + -3. What is the remainder when d/((-1)/(-11)) - -2 is divided by 5?
3
Suppose 0*y + 3*o = 3*y - 21, 0 = -5*y + 3*o + 45. Calculate the remainder when 58 is divided by y.
10
Let v = 6 + -21. Let b = v + 52. Let k = -138 - -157. Calculate the remainder when b is divided by k.
18
Let f(w) be the first derivative of -w**4/4 - 4*w**3/3 + w**2 - 5*w - 3. What is the remainder when f(-5) is divided by 6?
4
Let l = 29 - -4. Calculate the remainder when 163 is divided by l.
31
Suppose 10 = 4*h - 22. Suppose 0 = 3*c + 5*v - 16 - 10, 0 = c + 2*v - h. Calculate the remainder when (-204)/(-9) - 4/6 is divided by c.
10
Let i = 53 - 39. Calculate the remainder when 82 is divided by i.
12
Let v(s) = 28*s**2 + s. Suppose g = -3 + 1. Let c be v(g). Suppose -5*x = -0*x - c. Calculate the remainder when 42 is divided by x.
20
Let n = 359 + -194. Calculate the remainder when n is divided by 42.
39
Suppose 0 = -5*q + 109 + 41. Suppose 2*x + 53 - 69 = 0. What is the remainder when q is divided by x?
6
Let h(v) = -v**3 - v**2 - 2*v + 84. What is the remainder when h(0) is divided by 29?
26
Let f = 0 + -6. Calculate the remainder when 29 is divided by (-2)/6 + (-62)/f.
9
Suppose -2*q + 2 + 8 = 0, 0 = w + 3*q - 14. What is the remainder when 19 is divided by 5*2*(0 - w)?
9
Let q(c) = c**3 - 6*c**2 - 3. Let t be q(6). Calculate the remainder when (-1)/t - 38/(-3) is divided by 8.
5
Let l be -2 + ((-4)/1)/(-2). Suppose 2*h + 2*c + 14 = l, 2 = -h + 2*c + 4. What is the remainder when (-18)/h*(-100)/(-15) is divided by 16?
14
Let l(z) = -z + 2. Let m = -27 - -50. Calculate the remainder when m is divided by l(-10).
11
Let x(w) be the third derivative of 2*w**5/15 + w**4/24 - 2*w**2. Calculate the remainder when x(1) is divided by 6.
3
Let j(d) = -d**2 - 4*d + 5. Let s be j(-5). Suppose -5*t + 10 = s, -t - 3*t + 478 = 5*i. What is the remainder when i is divided by 24?
22
Let u = 44 - 13. What is the remainder when 90 is divided by u?
28
Let w(o) = 64*o**3 - o. Let p be w(-1). What is the remainder when 15/(-20)*(p - 1) is divided by 10?
8
Let o(c) = -c**3 - 6*c**2 - 6*c - 2. Let i be o(-5). Suppose -20 - 52 = -i*s. What is the remainder when s is divided by 7?
3
Suppose -i = -4*i + 54. What is the remainder when 106 is divided by i?
16
Suppose -2*o + 336 = 2*o - 2*r, 5*o - r = 414. Calculate the remainder when o is divided by 17.
14
Let t(b) = b**2 - 5*b - 10. Let r be t(7). Suppose 41 = 4*p - 3*y - 1, 0 = -p + r*y + 17. What is the remainder when 17 is divided by p?
8
What is the remainder when (-2)/15 + (-23604)/(-180) is divided by 11?
10
Let q = 48 - -7. What is the remainder when q is divided by 14?
13
Let d be (17 - 0)/(-1) + 2. Calculate the remainder when 19 is divided by ((-6)/9)/(1/d).
9
Suppose 0 = 5*r + 5*n - 75, -5*r + 3*n + 93 - 26 = 0. Let a = 9 + 32. What is the remainder when a is divided by r?
13
Suppose w + 4 = -2*l + 20, -44 = -3*w - 5*l. Calculate the remainder when 38 is divided by w.
6
Suppose 117 = 4*s - 39. Let f = s - 9. Suppose -3*v = -2*v - 16. What is the remainder when f is divided by v?
14
Let c(f) = -f**2 + 6*f + 10. Let g be c(7). Suppose 5 = n - 4*q - 6, -4*q = 2*n - 22. What is the remainder when (0 - 64/(-6))*g is divided by n?
10
Suppose -4*u - 53 = -q, 3*q + u + 4*u - 227 = 0. Calculate the remainder when q is divided by 18.
15
Let y be 8/6*-3*5. Suppose 4*w + 65 = 5*c + 2*w, 2*c + 2*w - 40 = 0. Calculate the remainder when (y - 1)*4/(-3) is divided by c.
13
Suppose -7*p + 110 = -2*p. What is the remainder when 63 is divided by p?
19
Let n(x) = -x**2 + 1. Let y be n(-3). Let l = 3 - 0. Calculate the remainder when (-37)/(-7) - y/(-28) is divided by l.
2
Let i = -2 + 6. Suppose -y - 7 = -4*z - z, 16 = 2*z + i*y. What is the remainder when z is divided by 2?
0
Suppose 4 + 0 = 2*v - 4*a, 0 = 4*v + 2*a - 8. Calculate the remainder when ((-10)/(-6))/(v/6) is divided by 4.
1
Let u = 20 - -3. What is the remainder when u is divided by 8/20 - (2 - (-38)/(-5))?
5
Let h = 25 - 13. What is the remainder when 45 is divided by h?
9
Suppose -4 = 2*t, -3*v + t = -326 - 30. What is the remainder when v is divided by 30?
28
Let w be 1/(3 - (-286)/(-95)). Let i = -43 - w. Calculate the remainder when i is divided by 18.
16
Let z = 7 + -4. Suppose 5*h = -2*k + 27, 2*h - 18 = z*k - 5*k. Let v(l) = l**3 + 7*l**2 + 8*l + 7. What is the remainder when v(-5) is divided by k?
5
Suppose -5*l = 3*p - 5*p + 141, -p + l = -66. Suppose f = 2*h + p, -3*h = -4 - 5. Calculate the remainder when f is divided by 18.
15
Let f = -90 + 105. What is the remainder when 72 is divided by f?
12
Suppose -5*x = -16 - 4. Suppose 29 = x*p - 35. Let z(h) = -h**3 + 11*h**2 + 3*h + 14. What is the remainder when z(11) is divided by p?
15
Suppose -2*m + 12 = -0*m. Suppose -3*a - 2*a - 2*z + 116 = 0, z = 3*a - 63. Calculate the remainder when 20 is divided by (a/8)/(m/24).
9
Let r = 8 + -5. Suppose 0*q = 3*q - r. Let b(l) = l**3. Calculate the remainder when b(1) is divided by q.
0
Let u(s) = 14*s**3 + 2*s**2 - s. Suppose 5 + 24 = 3*i + r, -i + 2*r - 2 = 0. Calculate the remainder when u(1) is divided by i.
7
Let u(y) = 2*y**2 + 2*y - 1. Let t be u(-2). Suppose 4*q - 6 = n, -t*q + 2 = 3*n - 5*q. What is the remainder when 6 is divided by n?
0
Suppose d + 3*d = 56. Calculate the remainder when d is divided by 4.
2
Suppose -2*x = -v - 21 - 6, -68 = -5*x + 2*v. Suppose -12 = s - 51. What is the remainder when s is divided by x?
11
Let h be -3 - 0 - -2 - 1. Let f be h - 1*(-4)/2. Suppose -9 - 39 = -4*m - 5*q, f = m - 3*q - 12. Calculate the remainder when 23 is divided by m.
11
Let u = 46 + -9. Let o(z) = -z**3 + 8*z**2 - 7*z + 5. Let w be o(7). Suppose 4*q = -16, 0 = -0*m + m - w*q - 33. What is the remainder when u is divided by m?
11
Suppose 3*k + 2*k = 125. What is the remainder when k is divided by 16?
9
Let l be 1/(1 + 15/(-16)). Suppose 6*b - 5*b = -9. Let v = b + l. Calculate the remainder when 20 is divided by v.
6
Let n(h) = -10*h - 7. Let g be n(-7). Suppose 0 = -3*r + g + 105. Let k = r + -33. What is the remainder when k is divided by 8?
7
What is the remainder when 4 is divided by (4/3)/(40/60)?
0
Let r(o) = -o**3 + 6*o**2 - 6*o + 6. Let v be r(5). What is the remainder when 88/(-8)*(-2)/v is divided by 6?
4
Suppose 4*j - 7*j + 5*m + 65 = 0, 56 = 4*j + m. Calculate the remainder when (-6)/j - (-122)/5 is divided by 13.
11
Suppose -5*v = -0*v - 15. Suppose -5*j + 0*l - 60 = -4*l, l = 0. Let q = j - -22. What is the remainder when q is divided by v?
1
Suppose 5*v = 5*a - 15, -3*a - v = -0*v - 21. Suppose -r = -a - 9. What is the remainder when 28 is divided by r?
13
Calculate the remainder when (10/(-3))/(18/(-513)) is divided by 24.
23
Let n = 1 + 3. Calculate the remainder when ((-2)/n)/((-7)/462) is divided by 12.
9
What is the remainder when 372/48 - 2/(-8) is divided by 3?
2
Let l(j) = -j**3 + 5*j**2 + j + 3. Let v be l(5). Suppose 0*x = -3*x + 4*h + 82, 0 = -4*h + v. Calculate the remainder when x is divided by 16.
14
Let l(o) = 7*o + 15. What is the remainder when l(0) is divided by 8?
7
Let y(b) = -1 + 0*b + 5*b + 0 + 0*b. What is the remainder when 25 is divided by y(2)?
7
Suppose -22*w + 78 = -296. Calculate the remainder when w is divided by 5.
2
Let o(d) = -d**3 - 6*d**2 + 7*d + 9. Let c = -11 + 4. Calculate the remainder when 16 is divided by o(c).
7
Let q(p) = 4*p - 6. Calculate the remainder when 10 is divided by q(3).
4
Let u(a) = 3*a - 10. Calculate the remainder when (2 - 3) + 33 - 1 is divided by u(7).
9
What is the remainder when 15 is divided by (15/(-12))/(1/(-8))?
5
Let v(z) = -7*z**3 + z**2 - 2*z + 1. Let y