t c be 1/((-66)/(-21) + -3). Suppose 2*w + 35 = c*w. Let g(b) = b**3 - 5*b**2 + 3*b + 5. Calculate the remainder when g(5) is divided by w.
6
Let i(z) be the first derivative of 2*z**3 + z**2/2 + z + 1. What is the remainder when i(-2) is divided by 12?
11
Let w be (-4)/(-18) + (-34)/(-9). Let n = 0 + w. What is the remainder when 15 is divided by n?
3
Let r be 1 + -1 + 0 + 0. Let y = r - -14. What is the remainder when 40 is divided by y?
12
Suppose 0 = q - 2 - 1. Suppose -q = 3*g - 24. Suppose 2*z + 2*t - 18 = -0*t, -4*z = 5*t - 41. What is the remainder when g is divided by z?
3
Suppose -3*z - 4*v = -73, 0 = -2*z - 2*z - v + 80. Let y = -5 - -10. Calculate the remainder when z is divided by y.
4
Let t be (-68)/18 - 14/63. Calculate the remainder when 19 is divided by (10/4)/((-2)/t).
4
Let k(h) = -h**3 + 8*h - 5. What is the remainder when k(-6) is divided by 11?
9
Let d(s) = 5*s**2 + 7*s + 6. Let w be d(-4). Let u = -25 + w. Calculate the remainder when u is divided by 9.
6
Let s = 9 - 6. Suppose -z - 14 = -3*x, -2*x + 2*z - 5*z + 24 = 0. Calculate the remainder when x is divided by s.
0
Let w = 1 + -1. Suppose -2*k - k + 21 = w. Let v = 91 - 88. Calculate the remainder when k is divided by v.
1
Let l be 2/10 + (-93)/15. Let b(p) = -2*p + 7. What is the remainder when b(l) is divided by 10?
9
Suppose -16*g - 196 = -23*g. What is the remainder when g is divided by ((-30)/4)/(2/(-4))?
13
Let f(g) = -g**3 + 12*g**2 - 8*g - 15. Calculate the remainder when 33 is divided by f(11).
15
Let i = -2 - -2. Suppose 3*h + 24 = 2*p, p - 3*h - 7 - 2 = i. Let m = -94 + 137. Calculate the remainder when m is divided by p.
13
Let d = -25 + 67. What is the remainder when d is divided by 11?
9
Let c = -4 - -11. Let l = c - 5. Suppose -l*s - 93 = -5*s. Calculate the remainder when s is divided by 11.
9
Let n(c) = c**3 + 11*c**2 - 12*c + 7. What is the remainder when 20 is divided by n(-12)?
6
Let k(y) = 7*y + 7. Let h(i) = -20*i - 21. Let q(w) = 3*h(w) + 8*k(w). Calculate the remainder when 36 is divided by q(-5).
10
Let n(t) = t**2 - 9*t + 12. Suppose 5*s - 13 = 22. Calculate the remainder when s is divided by n(8).
3
Suppose 32*j - 26*j = 246. What is the remainder when j is divided by 6?
5
What is the remainder when (5 + 17)*(-2 + 4) is divided by 23?
21
Let w(u) = -u**2 + u + 37. Let s be 1 + (-1)/(1 + 0). Let q = 71 + -58. What is the remainder when w(s) is divided by q?
11
Let b = -6 + 8. What is the remainder when 2 + b + -4 + 37 is divided by 13?
11
Let j = -4 - -4. Suppose j = 4*y - 0*y - 56. Suppose 2*z = z + y. What is the remainder when z is divided by 8?
6
Let r be 366/15 + 2/(-5). Suppose z = 4*l + 9, 5*z - 4*l = z + r. Suppose -2*j = -j - 14. Calculate the remainder when j is divided by z.
4
Let m = 101 + -61. Let x(j) = j**2 - 4. What is the remainder when m is divided by x(5)?
19
Let n(x) = -x**3 - x**2 + 2*x + 3. Let m be n(-3). Suppose u - m = -4*u. Calculate the remainder when 9 is divided by u.
0
Let r = 1 + 2. Calculate the remainder when 8*(r - (-1)/2) is divided by 10.
8
Suppose y = 21 + 34. Suppose -3*b + 35 = -y. What is the remainder when 59 is divided by b?
29
Let q = 326 - 233. Suppose -5*j - 7 = -s, 0 = 2*j + 2. Suppose s*m = 5*d + q, -6*d = m - 4*d - 51. Calculate the remainder when m is divided by 17.
15
Suppose -34 = 4*g - 5*g. Let o(n) = n**2 + n + 9. What is the remainder when g is divided by o(0)?
7
Let p(m) = m**3 + 4*m**2 - 6*m - 7. Suppose -2*r + 5*q - 30 = 0, -16 = -2*q - 2*q. Let n be p(r). Calculate the remainder when 27 is divided by ((-1)/n)/(3/84).
13
Suppose -4*c + 2*m = -8, 4*c - 4*m - 4 = -m. What is the remainder when 19 is divided by c?
3
Let r be (140/(-98))/(1/(-7)). Let s(d) = -d**3 + 9*d**2 + 11*d + 4. What is the remainder when 26 is divided by s(r)?
12
Let h(r) be the first derivative of r**4/4 - 2*r**2 - 4*r + 2. Calculate the remainder when h(4) is divided by 23.
21
Suppose -3*t = -2*t - 5*w + 9, w + 27 = -3*t. Let s = -5 - t. What is the remainder when -10*(-1 + -1)/2 is divided by s?
2
Let k(g) = -g**3 + 3*g**2 + 6*g - 3. What is the remainder when 18 is divided by k(4)?
3
Let j(a) = -a + 6. What is the remainder when 54 is divided by j(-5)?
10
Let x be (207/6)/((-2)/(-4)). Let w = x - -22. Suppose 2*n + w = 3*j, -157 = -2*j - 3*j - 2*n. What is the remainder when j is divided by 11?
9
Let j = 25 - -3. Calculate the remainder when j is divided by 15.
13
Let t = -21 + 43. What is the remainder when 63 is divided by t?
19
Let a = 69 + -10. Calculate the remainder when a is divided by 4.
3
Suppose -64*k + 61*k + 24 = 0. What is the remainder when 11 is divided by k?
3
Let p = -2 - -20. Let a = 42 - 22. What is the remainder when p is divided by (3/(-3))/((-2)/a)?
8
Suppose -49 = -2*u - 3*g, 0 = -4*u - g + 60 + 13. Let l = 18 - 13. What is the remainder when u is divided by l?
2
Let g = 29 + -4. Calculate the remainder when 74 is divided by g.
24
Suppose n + g - 159 = -0*g, 4*n = 4*g + 652. Calculate the remainder when n is divided by 27.
26
Calculate the remainder when 6 is divided by (1 - -1)*(-1 - 20/(-8)).
0
Let c(n) be the first derivative of n**4/4 - 2*n**3/3 + 3*n**2/2 - 3*n - 8. What is the remainder when 11 is divided by c(2)?
2
Let i(r) = 6*r**2 + 4*r + 2. Let x be i(-2). Let p = 29 + x. Calculate the remainder when p is divided by 12.
11
Let y = -48 + 71. Suppose -5*d = -4*d - 12. What is the remainder when y is divided by d?
11
Suppose 0 = s - 21 + 5. Let p(n) = -n**2 + 8*n - 11. Let b be p(9). Let y = -11 - b. What is the remainder when s is divided by y?
7
Let i = 1 + 52. Suppose -s + 50 = 4*s + 4*l, 4*s - 41 = -3*l. Let f = 41 - s. What is the remainder when i is divided by f?
26
Suppose 0 = -4*a + 19 - 3. Suppose 0 = n - 14 + a. What is the remainder when 16 is divided by n?
6
Let l(x) = x + 48. Let y be l(0). Suppose 4*z - y = 8. Calculate the remainder when 53 is divided by z.
11
Suppose -6*x = b - x - 136, 4*b = -x + 582. Calculate the remainder when b is divided by 37.
35
Let j(l) = l**3 + 25*l**2 - 28*l + 18. What is the remainder when j(-26) is divided by 15?
10
Let l = 38 + -10. Calculate the remainder when l is divided by 16.
12
Suppose -2*c = -0*c + 2, -2*d + 3*c = -753. Suppose 3*b - r - r - d = 0, -625 = -5*b + 2*r. What is the remainder when b is divided by 32?
29
Let o = -22 - -22. What is the remainder when 6 - (o + 3) - -41 is divided by 9?
8
Calculate the remainder when -3 - -1 - (3 - 6) is divided by -1 - (-1 + 2 - 3).
0
Suppose -k - 124 = -4*q - 5*k, 3*k - 129 = -4*q. Calculate the remainder when q is divided by 13.
10
Suppose -w + 4*z + 38 = 0, 21 = -w - 5*z + 95. Calculate the remainder when w is divided by 14.
12
Let f = 5 - 12. Let w = 3 - f. What is the remainder when w is divided by 4?
2
Suppose -7*j = -3*j - 76. Calculate the remainder when j is divided by (22/4)/(2/4).
8
Let k(w) = 12 - 12*w - w**2 - 2 + 5. Let q be (-47)/4 - (60/(-16) + 4). Calculate the remainder when k(q) is divided by 8.
7
Suppose 4*r - 17 = a, 3*a = -4 + 1. Suppose r*h = -0*h + 16. What is the remainder when 10 is divided by h?
2
Suppose 9 = -2*m + n, 3 + 7 = -m - 5*n. Let g(v) = v**2 + 2*v + 3. Calculate the remainder when 35 is divided by g(m).
17
Suppose -q = -3, -4*m = -10*q + 5*q - 161. Calculate the remainder when m is divided by 12.
8
Let k(y) = -22*y**2 - 4*y - 2. Let p be k(-2). Let n = p - -122. What is the remainder when n is divided by 21?
19
Let r = 12 + -25. Let l = r + 18. Suppose 70*b - 65*b - 60 = 0. Calculate the remainder when b is divided by l.
2
What is the remainder when 45 is divided by (-1)/(3 + (-9)/((-207)/(-70)))?
22
Let y = 13 + -8. Let n = y + -7. Calculate the remainder when 17 is divided by (-17)/n + (-2)/(-4).
8
Let t(q) = 6*q**3 - 2*q + 1. Let i be t(1). Suppose 2*n - 3*y = 41, 3*n = -0*n - i*y + 90. Let j = 40 + -27. Calculate the remainder when n is divided by j.
12
Suppose -n + 6 = -26. Calculate the remainder when n is divided by 18.
14
Suppose 4*h + 79 = -5*y, -3*y - 1 = -4. Let l = 6 - h. What is the remainder when l is divided by 7?
6
Let l(p) = 13*p - 1. Suppose f + 2*f = 54. What is the remainder when l(4) is divided by f?
15
Suppose -2*n + 31 = -5*l - 23, 0 = -5*l + 20. Calculate the remainder when 146 is divided by n.
35
Let m(h) = h**3 - 3*h**