. Let g(l) be the second derivative of l**3/6 + 4*l**2 - 3*l. Calculate the remainder when 23 is divided by g(j).
7
Suppose 0 = 4*i - 31 - 1. Suppose 3*m + i = m. Let z = m + 51. Calculate the remainder when z is divided by 16.
15
Let x = 24 - -1. Suppose 3*i + 126 = 3*r, -3*r - 3*i + 4*i = -128. Let j = r - x. What is the remainder when j is divided by 10?
8
Suppose -2*f = 3*i - 23, 4*i - 27 = -0*f + f. Calculate the remainder when 17 is divided by i.
3
Suppose 5 = -4*b + 17. Let o = -1 + b. Let w = -149 + 151. What is the remainder when w is divided by o?
0
Let q(s) = -s**2 - 2 + 4*s + s**2 - s**2 + 3. Let l be q(3). Suppose l*p - d = 144, 3*p + d - 152 = -p. Calculate the remainder when p is divided by 13.
11
Suppose -2*b - 28 = -5*s, 0 = -2*b - 5 - 3. Calculate the remainder when s/(-26) - (-249)/13 is divided by (14/(-2))/(-1*1).
5
Let w be -1 + -1 + (-2 - 0). Suppose -8*b = -n - 7*b + 6, -4*b = 4*n - 24. Calculate the remainder when (-5)/(-20) + (-63)/w is divided by n.
4
Let t be ((-4)/(-5))/(2/5). Suppose t*c = -0*c. Suppose 3 = 3*r + g + 2*g, c = 4*r - 2*g - 10. What is the remainder when 4 is divided by r?
0
Let b(a) = 2*a - 2. Let c be b(2). Suppose -w = -3 - c. Suppose 3*y = 3, -2*u = -0*u - w*y - 23. Calculate the remainder when 27 is divided by u.
13
Suppose 2*v - 3*v - 8 = 0. Let j = 4 - v. Calculate the remainder when j is divided by 7.
5
Let d be (-16)/(-72) + 124/9. Let o be (-7)/d*4/1. What is the remainder when 19 is divided by -1*(-15)/(-6)*o?
4
Calculate the remainder when 31 is divided by (-62)/(-6) + (-2)/(-3).
9
Let n = -92 + 157. Calculate the remainder when n is divided by 22.
21
Suppose 8 + 2 = 5*m. Calculate the remainder when (-2)/(-6)*(m + 1) is divided by 1.
0
Suppose -4*k = x - 20, 2*x + 3*k = -2*x + 54. What is the remainder when x is divided by 5?
2
Let q(o) = 2*o**2 - 2*o + 1. Let x be q(1). What is the remainder when ((-18)/(-2))/(x/3) is divided by 6?
3
Suppose 0 = -p - 4. Let m(u) = 5 + 0*u - 1 - 4*u. What is the remainder when m(p) is divided by 11?
9
Suppose 5*w - 2*i + 13 = 0, -5*i = -2*w + 6*w + 17. What is the remainder when 13 is divided by 6 - ((-6 - w) + 5)?
1
Let y = -10 + 14. Suppose 5*r + y*n - 6 = n, 2*r - 2*n = 12. Let c = -1 + r. What is the remainder when c is divided by 1?
0
Suppose 0 = 2*h + 6, -4*f + 2*f - h + 15 = 0. Let r(z) = -z**3 - 4*z**2 - 2*z - 4. Calculate the remainder when f is divided by r(-4).
1
Let x(z) = z**2 - 3*z. Let w be x(3). Suppose -2*y - j + 31 = 3*y, w = -4*y + 5*j + 48. Calculate the remainder when 13 is divided by y.
6
Let y(a) be the first derivative of a**4/4 - a**3 + 7*a + 8. Calculate the remainder when y(3) is divided by 3.
1
Let o = 19 + -51. Let w = 93 + o. Calculate the remainder when w is divided by 16.
13
Let y be 2 + -1 + (2 - 1). Suppose -46 = -y*d - p + 5*p, 0 = -5*d + 4*p + 109. What is the remainder when 82 is divided by d?
19
Let q(z) = -30*z**2 + 4*z - 6. Let a(t) = -31*t**2 + 5*t - 7. Let b(c) = 5*a(c) - 6*q(c). Calculate the remainder when b(-1) is divided by 13.
12
Let s(g) = -g + 2. Let w(v) = -1. Let n(f) = -s(f) + 2*w(f). Calculate the remainder when n(8) is divided by 2.
0
Suppose t = -17 + 39. What is the remainder when t is divided by 12?
10
Suppose 5*y - 19 = 16. What is the remainder when 11 is divided by y?
4
Let l = -17 + 52. What is the remainder when 137 is divided by l?
32
Let i = 105 + -54. Calculate the remainder when i is divided by (2/3)/(2/39).
12
Let z(i) = 2*i**2 - 5*i + 3. Let r(d) = -d**3 - 6*d**2 - 2*d - 7. Let y be r(-6). Calculate the remainder when z(y) is divided by 15.
13
What is the remainder when (-7)/14*(-69 + 1) is divided by 34/4 - (-1)/2?
7
Suppose 0 = 4*w - 3*r - 141, 2*w = 4*w + 4*r - 98. Let g = -27 + w. What is the remainder when 33 is divided by g?
9
Let a(i) = -i**2 + 7*i - 2. Suppose x + 75 = -0*x. Calculate the remainder when x/(-2)*12/15 is divided by a(5).
6
Let m(g) = g + 12. Let z = -93 + 97. Calculate the remainder when m(-5) is divided by z.
3
Suppose 0*k - 141 = -3*k. What is the remainder when k is divided by 12?
11
Let v = 0 + 4. What is the remainder when v is divided by ((-8)/2)/((-40)/30)?
1
Suppose -35 + 1 = -s. What is the remainder when s is divided by 12?
10
Let r(a) be the first derivative of 2*a**3/3 - a**2/2 - 5*a - 25. Let g = -9 - -13. What is the remainder when r(g) is divided by 8?
7
Suppose -3*k + 75 = 4*m + 2, -2*m + 69 = -5*k. What is the remainder when 87 is divided by m?
21
Let a(g) = -10*g**2 - 13 - g**3 + 2*g**2 - 14*g - 2*g**2. What is the remainder when a(-9) is divided by 11?
10
Let y(p) = 0*p - 14 - 6*p + p**2 + 1. Let c be (-24)/(-36)*27/2. What is the remainder when 40 is divided by y(c)?
12
Suppose 4*t = t + 6. Let o be 2 - (-2 - (-2)/t). Suppose -r - 2*d = -33, r + 68 = o*r + 3*d. Calculate the remainder when r is divided by 13.
11
Let x be (-1)/1*1 + 1. Calculate the remainder when -1 - (-2 + (-10 - x)) is divided by (-3 + 5)/(-2) - -5.
3
Suppose 0 = 16*j - 11*j + 25. Let n(b) = b**3 + 5*b**2 + 2*b + 12. What is the remainder when 5 is divided by n(j)?
1
Let w(s) = -3*s**3 - 3*s**2 - s + 12. Let c(t) = 13*t**3 + 13*t**2 + 4*t - 49. Let h(q) = 2*c(q) + 9*w(q). What is the remainder when 29 is divided by h(0)?
9
Let u = -10 + 8. Let r = 6 + u. What is the remainder when r/(-6)*(-225)/6 is divided by 14?
11
Let x(o) = -9*o - 2. Let n be x(-2). Suppose -18*t + 16 = -n*t. What is the remainder when t is divided by 5?
3
Suppose -y + 5*g - 15 = 0, -4*y - g = 2*g - 55. Let i = -2 - -21. What is the remainder when i is divided by y?
9
What is the remainder when ((-1)/2)/(3/(-108)) is divided by 5?
3
Let f be (-365)/(-25) - 3/5. What is the remainder when (-6 + 0)*f/(-7) is divided by 5?
2
Let f(j) = -3 - 4 + j + 1. Calculate the remainder when (-16)/(-10) - (-2)/5 is divided by f(7).
0
Suppose -5*k + 4*j + 271 = 100, -3*j + 81 = 3*k. Calculate the remainder when k is divided by 20.
11
Suppose 7 = -5*n + 17. Suppose 5 - 1 = n*t. What is the remainder when t is divided by 1?
0
Suppose -v - 3*h = 39, -6*v - 155 = -v + 5*h. Suppose 0 = -d + 23 + 24. Let o = d + v. Calculate the remainder when o is divided by 11.
9
Let q = 9 - 4. Suppose 4*d = 2*u - 44, -5*u + 72 = q*d + 22. Calculate the remainder when (1 - 0)/((-3)/6) + 43 is divided by u.
13
Let k = -5 - -9. Suppose -3*d - 1 + 14 = 2*b, 4*b = 4*d - 4. What is the remainder when k is divided by d?
1
Let d(z) = -2 + 0 - 3*z - 3*z + 2*z. Let y be d(-6). Let q = 34 - y. What is the remainder when 23 is divided by q?
11
Let v(y) = -12*y - 9. Let a be v(-6). Let s = a + -39. Calculate the remainder when s is divided by (-2)/10 - (-198)/15.
11
Let j be ((-36)/(-14))/((-1)/(-7)). Suppose 6 - j = -4*p. What is the remainder when p is divided by 2?
1
Let y = -18 - -30. Suppose 15 = 3*v - y. Calculate the remainder when 17 is divided by v.
8
Let q = 6 - 8. What is the remainder when ((-6)/(-4))/(q/(-12)) is divided by 3?
0
Let g be (-1)/2 + 11/(-2). Let p = g - -56. What is the remainder when 19 is divided by 3*1*p/15?
9
Let v(u) = u**2 + 11. What is the remainder when (30/7)/((-3)/(-21)) is divided by v(0)?
8
Let l = 56 - 33. Calculate the remainder when 43 is divided by l.
20
Let j = 17 + -36. What is the remainder when 2*(1 - 2 - j) is divided by 19?
17
Let g = 52 + -32. Suppose 12 = 4*z - g. Calculate the remainder when 30 is divided by z.
6
Let h be (-2)/(-4) - (-3)/2. Suppose -u - h*u = -18. Let a(c) = -c - 8. Calculate the remainder when a(-19) is divided by u.
5
Let x be (-14)/2 - (-1 - -1). Let k = -2 - x. What is the remainder when ((-15)/(-2) - 1)*2 is divided by k?
3
Suppose 0 = 2*m - 18 - 28. What is the remainder when (-1 + 4/6)/((-13)/2613) is divided by m?
21
Suppose 2*p - 50 = -5*m, 0*p + 2*m = 4*p - 52. What is the remainder when 52 is divided by p?
7
Let k(g) = -g**3 - 11*g**2 + 12*g + 21. What is the remainder when 39 is divided by k(-12)?
18
Suppose -2*j - 2 + 16 = 0. Suppose j*i = 5*i. Calculate the remainder when 12 is divided by 14/2*(1 + i).
5
Suppose -k - 20 = -5*k. Let b(d) = d**3 - 6*d**2 + 4*d + 2. Let i be b(k). What is the remainder when 3 - -8 - (-6)/i is divided by 5?
4
Suppose 55 = 5*p - 0*p. Calculate the remainder when 18 is divided by p.
7
Let w(i) = i**3 - 2*i**2 - i - 6. Let p be w(5). Suppos