 5.
2
Let l = 23 - 15. Let s(k) be the second derivative of k**5/20 - k**4/12 + k**3/3 - k**2/2 - k. Calculate the remainder when s(3) is divided by l.
7
Let g(z) = -z**2 + 3*z + 3. Let k be 5*(3 - 6/3). Let o be g(k). Let x(w) = -3*w + 1. Calculate the remainder when 43 is divided by x(o).
21
Let g = 21 - -6. Calculate the remainder when 106 is divided by g.
25
Suppose -5*r + r = 3*a + 1112, -5*a - 4*r = 1856. What is the remainder when 60 is divided by a/(-30)*(-5)/(-2)?
29
Suppose 0 = h - 15 + 3. Suppose -c - 8 = -3*r + 8, 5*r + 2*c - h = 0. Suppose -r*y = g + y + 13, -g = -5*y - 27. What is the remainder when 20 is divided by g?
6
Let q(w) = -w**3 - 16*w**2 - 20*w + 16. What is the remainder when q(-15) is divided by 23?
22
What is the remainder when 65 is divided by (-284)/(-13) - (-8)/52?
21
Let z be 7 + -7 + 4*2. Let i(f) = f - 6. What is the remainder when 2 is divided by i(z)?
0
Let r(g) = -5*g - 29. Let l(x) = x**2 + 8*x - 8. What is the remainder when l(6) is divided by r(-11)?
24
Suppose 3*t = -2*t + 50. What is the remainder when 46 is divided by t?
6
Suppose 3*f = 6, 2*h + 4*f - 28 = 2*f. Suppose -x = -5*x + h. Suppose 5 - 44 = -x*q. Calculate the remainder when 24 is divided by q.
11
Suppose 5*j - 20 = j, 0 = -p + 3*j - 17. What is the remainder when 3/p + (-340)/(-8) is divided by 14?
13
Suppose -3*g = -3 - 3. Suppose -2 = -g*z + 8. Calculate the remainder when 9 is divided by z.
4
Suppose 3*s + 18 = -24. Calculate the remainder when 4/s - (-390)/42 is divided by 3.
0
Suppose -4 = 2*o - 6*o. What is the remainder when (-2)/((-6)/9) + (-9)/(-9) is divided by o?
0
Suppose 2*s = 4*a + 7*s - 6, 0 = -2*a + 5*s + 18. Suppose -50 = -5*f - 5*w, -f - 2*f - 2*w + 29 = 0. What is the remainder when f is divided by a?
1
Suppose 3*f + 4*k - 263 = 0, f + 2*k - 91 = -0*f. Calculate the remainder when f is divided by 12.
9
Let s(x) = 2*x**2 + 19*x - 6. Suppose -24 = -5*r + 16. Calculate the remainder when r is divided by s(-10).
0
Let z = -18 + 25. What is the remainder when z is divided by 5?
2
Suppose -5 + 2 = -3*c. Let i = 25 - c. What is the remainder when i is divided by (-116)/(-8) + (-6)/4?
11
Suppose 5*p = -r - r + 87, 3*p - r = 50. Suppose 0 = -2*b - b + 27. What is the remainder when p is divided by b?
8
What is the remainder when (-63)/(-4) + (-2)/(-8) is divided by 6/(-7)*(6 + -13)?
4
Let y = 22 - 11. Let i(l) = l + y*l**2 + 1 - 1. What is the remainder when 22 is divided by i(1)?
10
Let v = 27 + -12. What is the remainder when 18/135 - 57/90*-44 is divided by v?
13
Suppose -4*t - 13 = -3*q, -q - t + 0*t = -2. Let g = 12 + -8. Calculate the remainder when g is divided by q.
1
Let g = 0 - -12. Calculate the remainder when 46 is divided by g.
10
Let u be 4/((-12)/(-27)) - 2. Suppose u*i - 96 = i. What is the remainder when 29/2*4/2 is divided by i?
13
Suppose 0 = -3*r - 5*l + 100, 24 = 3*r - 2*r - 3*l. Calculate the remainder when 85 is divided by r.
25
Let t = 19 - 13. Let k(l) = -l + 8. Calculate the remainder when 2 is divided by k(t).
0
Let l be 1/(-1 + 0/3). Let k = 1 - l. Suppose -p = 4*p + 3*o - 8, -k*o = 2*p. Calculate the remainder when 15 is divided by p.
3
Suppose 32 = 5*f - 318. Let g(a) = -a**3 + 7*a**2 + 22*a - 18. What is the remainder when f is divided by g(9)?
16
Suppose -u - 1 = 0, -2*l - 2*u = -u - 163. What is the remainder when l is divided by 21?
19
Let x be ((-10)/3)/(12/(-18)). Suppose -z + 3*q = -0*q - 32, -5*z - x*q + 180 = 0. Calculate the remainder when z is divided by 12.
11
Let f(d) = -5*d - 3. Suppose 58 + 37 = 5*z. Calculate the remainder when z is divided by f(-2).
5
Let t be (-1 - 2)/((-15)/(-1910)). Let v = t + 564. Suppose v = 5*s + 57. Calculate the remainder when s is divided by 9.
7
Let m be 2/(-3)*156/8. Let i = m + 22. What is the remainder when 25 is divided by i?
7
Let g = 5 + 18. Calculate the remainder when 90 is divided by g.
21
Let z(r) = 6*r - 3. Let h be z(-9). Let l = -24 - h. Suppose 3*u - 6 = 0, 3*o - u = 2*u + l. What is the remainder when 37 is divided by o?
11
Calculate the remainder when 29 is divided by 114/7 + (-20)/70.
13
Suppose -4*s - 2*n = -10, -4*s - 3*n + 22 = -5*n. Suppose 3*g + 2*g = 55. Calculate the remainder when g is divided by s.
3
Suppose -4*n - 68 = -0*n. Let l = 36 + n. What is the remainder when l is divided by 10?
9
Let t = 87 - 67. Calculate the remainder when t is divided by 7.
6
Suppose 4 = -2*b + 3*b. Suppose -2*t = b, 81 = 5*d - t - 2*t. What is the remainder when 43 is divided by d?
13
Let t(a) = -2*a - 4. Let u be t(-2). Suppose u = 5*h + 15, 4*i + 4*h + 25 = 77. Calculate the remainder when i is divided by 6.
4
Let i(o) = o**2 - 6*o + 3. Let q be i(6). Suppose q*p = 30 + 12. Calculate the remainder when p is divided by 5.
4
Let n(l) = l**2 + 4*l - 10. Let m be n(-6). Suppose r = o - 2 - 0, 0 = m*r - 4. Calculate the remainder when 9 is divided by o.
1
Let l be -1 + (0 + 2)*2. Calculate the remainder when 38 is divided by -1*0/l - -13.
12
Let k be 12/(-54) + (-32)/18. What is the remainder when (-2466)/(-42) - k/7 is divided by 20?
19
Let s = -1 + 7. Let q(i) = -2*i**3 + 3*i**2 - i + 1. Let n be q(3). Let h = -18 - n. Calculate the remainder when h is divided by s.
5
Let v be 12/(-16) - 611/(-4). What is the remainder when 23 is divided by v/20 - (-2)/5?
7
Suppose -3*v + 20 = -13. What is the remainder when 21 is divided by v?
10
Suppose -5*r - 61 - 29 = 0. Let f(g) = 5*g**3 + g**2 - 1. What is the remainder when (-6 + 4)/(4/r) is divided by f(1)?
4
Let v be 30/(-9) - (-4)/(-6). Calculate the remainder when (-2)/2 + (40 - v) is divided by 15.
13
What is the remainder when -5*(-7)/((-35)/(-124)) - -1 is divided by 18?
17
Let i = 12 - 8. Let j(t) be the first derivative of -t**4/4 + 8*t**3/3 - 4*t**2 + 10*t - 1. Calculate the remainder when i is divided by j(7).
1
Let k = 65 - 27. Suppose -2*v = 3*i - k - 106, -5*v - 4*i = -346. Suppose 3*c = v + 3. What is the remainder when 68 is divided by c?
22
Let j = 44 - 5. What is the remainder when j is divided by 10?
9
Let f(d) = -d + 5. Let b be f(4). What is the remainder when 1*-1*(b + -60) is divided by 61/3 - (-4)/(-12)?
19
Suppose 5*k - 7*k + 60 = 0. What is the remainder when k is divided by 16?
14
Suppose 3*h + 0*h = 6. Let o = h + -1. Let m = o + 6. What is the remainder when 12 is divided by m?
5
Let j(v) = -28*v. Let h(p) = 4*p - 130. Calculate the remainder when j(-1) is divided by h(35).
8
Suppose 0*m + 7 = h + 3*m, 4*h - 4*m - 44 = 0. Let g be (-1)/(28/(-26) - -1). Suppose 3 + g = 4*q. What is the remainder when h is divided by q?
2
Let c(k) = k**2 - 7*k. Let q be c(7). Suppose 2*t + q = 20. Calculate the remainder when 39 is divided by t.
9
Suppose r + 3*f - 3 = 0, -f + 9 = 4*r - 47. Suppose -7 + 103 = 2*n. Let j = n - r. What is the remainder when j is divided by 17?
16
Let u(j) be the second derivative of j**3/6 - 2*j. Let i be u(2). Suppose y - 18 = -i*y. Calculate the remainder when 16 is divided by y.
4
Suppose -s + 0*s = -12. Let c(r) = -2*r**2 - r - 1. Let x be c(-2). Calculate the remainder when s is divided by (-4 + 0)*x/4.
5
Let o be (-3 - (-6 - -3))/2. Suppose 4*m - 21 = -3*n + 4, -n - m + 7 = o. Calculate the remainder when 9 is divided by n.
0
Suppose 5*a + 5*p + 15 = 0, -3 = 2*a + 5*p + 6. Calculate the remainder when (132/16)/(a/(-24)) is divided by 25.
24
Let l = -81 - -126. Calculate the remainder when l is divided by 17.
11
Suppose r = 3*k - r - 19, k + 5 = -5*r. What is the remainder when k is divided by 4?
1
Suppose -a - b + 23 = -55, -2*b = 3*a - 232. What is the remainder when a is divided by 26?
24
Suppose -s = -4*s + 105. Let y be 5*1*(-4)/(-10). What is the remainder when s is divided by 1 + 11*y/2?
11
Suppose -172 = -2*a + 3*x, -61 = -2*a - 5*x + 127. Let y(l) = -18*l. Calculate the remainder when a is divided by y(-1).
17
Suppose 2*l - 3*r + r = -4, -14 = 3*l - 5*r. Let b = -39 - -73. What is the remainder when b is divided by (-3)/(-2)*(l + 6)?
10
Suppose 134 = 4*x - 46. Let o(z) = -z**3 - 6*z**2 - 5*z + 6. Let v be o(-6). Suppose -j + v = 2*j. What is the remainder when x is divided by j?
9
Let f = 3 - -2. Suppose -f*x + 72 = -x. Calculate the remainder when 52 is divided by x.
16
Suppose -2*g + 32 = m, 0 = 3*g - 2*g + 5*m - 34. What is the remainder when 68 is d