erivative of 19*t**4/24 - t**3/3 - t**2. Let k be p(2). Let n = k + -26. What is the remainder when 29 is divided by n?
9
Let i(o) = o**3 - 14*o**2 + 15*o. What is the remainder when 66 is divided by i(13)?
14
Let u(j) be the second derivative of -j**5 + j**4/6 + j**3/3 + j**2/2 + j. Calculate the remainder when u(-1) is divided by -1 - (120/75)/((-4)/30).
10
Calculate the remainder when (138/(-8))/((-15)/40) is divided by 10.
6
Let n be (54/5)/((-3)/(-10)). Suppose 2*u - n = -u. Calculate the remainder when 47 is divided by u.
11
Let g(z) = z**2 + 39*z + 368. Suppose -7*u = -2*u - 145. Calculate the remainder when u is divided by g(-15).
5
Suppose 0*y - 2*y = -6. Suppose -y*a - a + 104 = 0. Let o = 26 - 12. What is the remainder when a is divided by o?
12
Suppose -11 - 121 = -4*k. Calculate the remainder when k is divided by 9.
6
Let w be 1*3*1/3. Let i be 47/2 - w/2. Let l = i - 11. What is the remainder when 34 is divided by l?
10
Let a = 4 - 2. Let i = 11 - a. What is the remainder when 33 is divided by i?
6
Suppose -6*z = -z - 55. Let x = -67 + 74. Let p = z - x. Calculate the remainder when 7 is divided by p.
3
Let r(u) be the second derivative of -1/20*u**5 + 0 - 2*u - 3/4*u**4 - 2*u**3 - 7/2*u**2. Calculate the remainder when r(-8) is divided by 9.
7
Suppose 0*s - s + 5*w + 6 = 0, -s + 2*w - 9 = 0. Let v = s - -29. What is the remainder when 18 is divided by v?
8
Let m(v) = 4*v**3 + 3*v**2 - 3*v. Suppose -4 - 2 = -3*n. What is the remainder when m(n) is divided by 13?
12
Let i = 14 + 3. Suppose 1 = p - 0. What is the remainder when ((-132)/8)/(p/(-2)) is divided by i?
16
Suppose 22 = 14*b - 12*b. Calculate the remainder when b is divided by 4.
3
Let x = -36 - -76. Suppose 4*v = -v + 225. Suppose 3*p = -5*w + p + 80, v = 5*w - 5*p. Calculate the remainder when x is divided by w.
12
Suppose -16 - 14 = -2*j. Suppose 3*h - j - 6 = 0. Calculate the remainder when h is divided by 4.
3
Suppose 5*g - a - 18 = a, 0 = 2*g - 2*a - 6. Suppose -4*k + g*o = -88, -3*o = 2*k - 24 - 40. What is the remainder when k is divided by 9?
8
Suppose 0 = -2*n + 2, 4*n - 61 = -2*f + 17. What is the remainder when f is divided by 19?
18
Let n be 2/8 + (-105)/(-12). Let a = 16 - n. Calculate the remainder when a is divided by 4.
3
Suppose -f + 2*r - 11 = -6*f, -3*f + 5 = 2*r. Calculate the remainder when f*3*(-44)/(-12) is divided by 9.
6
Let q = -20 + 38. Calculate the remainder when 50 is divided by q.
14
Suppose -2*n + 48 = 3*r + 15, -4*n = 4*r - 60. Suppose 0*w - 21 = -5*z + 3*w, 2*z + 3*w = 0. Calculate the remainder when n is divided by (-160)/(-25) - z/(-5).
5
Let h(z) = -z + 3*z**3 + 4*z**2 - 4*z**2. Suppose 3*y = -5*n + 5 + 13, -2*y - 5*n + 17 = 0. What is the remainder when 4 is divided by h(y)?
0
Suppose 2*l = -2*l - 16. Let h be 2/4 - l/8. Calculate the remainder when (-44)/(-2 - (h + -2)) is divided by 15.
14
Let k(r) = -18*r. Let l(z) = -z**2 + 7*z + 13. What is the remainder when k(-4) is divided by l(4)?
22
Let r(n) = n + 8. Let l(m) = 3*m + 2. Let b be l(2). Calculate the remainder when 63 is divided by r(b).
15
Suppose 91 = 5*d - 444. Suppose 0 = -3*n + 22 + d. Calculate the remainder when n is divided by 15.
13
Let k(x) = -3*x - 1. Calculate the remainder when k(-6) is divided by -4 + (-2 - 3)*(-28)/10.
7
Let i = 6 + -5. Let x be i*10*(-4)/(-8). Suppose -28 = f - x*f. What is the remainder when 18 is divided by f?
4
Suppose 101 = 3*v + n, -5*v + 130 = 3*n - 41. Let o = 51 - v. What is the remainder when 52 is divided by o?
16
Let k = -148 + 86. Let b be k/(-5) - (-4)/(-10). What is the remainder when b/16 - (-130)/8 is divided by 9?
8
Let j = -18 + 20. Suppose -1 = i - j*v + 2, -i + 5*v - 18 = 0. What is the remainder when (3 + -2)/((-1)/(-13)) is divided by i?
6
Let p be 2*3/(-3) + 8. Let i be (1 - 10)*(-8)/p. Let g = -6 + i. Calculate the remainder when 17 is divided by g.
5
Suppose -4*k + 3 = -1, 2*k = 4*o - 66. Suppose 3*p + h = 2*h + 153, 0 = -2*h - 6. What is the remainder when p is divided by o?
16
Suppose 5*q - 5 - 5 = 0. Let h(x) = -x + 1. Let g be h(-1). Suppose q*j = 7*m - 4*m - 24, -m + 4*j - g = 0. What is the remainder when m is divided by 4?
2
Let a = 87 - 19. Calculate the remainder when a is divided by 35.
33
Let v = 3 + 4. Let i(m) = m**3 - 5*m**2 + m - 1. What is the remainder when v is divided by i(5)?
3
Let x(h) = -h**2 - 13*h + 6. Calculate the remainder when 141 is divided by x(-6).
45
Suppose 64 = 3*p - 14. Suppose -p = -4*k + 3*k. What is the remainder when 75 is divided by k?
23
Suppose -8 = -7*h + 6. Let q(m) be the first derivative of 4*m**2 - 3*m + 1. Calculate the remainder when q(h) is divided by 5.
3
Let c(a) = -2*a + 32. Calculate the remainder when 70 is divided by c(4).
22
Let f be 44/(-11) - (1 - -2). Let g = 26 + -1. Let r = f + g. Calculate the remainder when 53 is divided by r.
17
Suppose -4*x = 0, -5*s = -0*s - 5*x - 15. Suppose -9 = -s*j + 3*d - 0*d, 2*j - 4 = 3*d. Let w = -14 - -27. Calculate the remainder when w is divided by j.
3
Let i(c) = -2*c - 9. Let y(r) = -1. Let v(g) = i(g) - 5*y(g). Suppose -5 = 5*a + 20. Calculate the remainder when 17 is divided by v(a).
5
Let l = 38 + -32. Calculate the remainder when l is divided by 3.
0
What is the remainder when 21 is divided by (-6)/(2/(16/(-12)))?
1
Let u = 69 + -55. Calculate the remainder when 109 is divided by u.
11
Let v(o) = -o + 13. Let i be v(9). Suppose i*j + 4*l = 16, -l + 36 = 5*j - 0*l. What is the remainder when 15 is divided by j?
7
Suppose -2*b + 42 = b. Let q = b - -8. Calculate the remainder when q is divided by -1 - -13 - 0/3.
10
Let m be (-2 + 2)/3 - 1. Let g be -2 + 52 + (m - -2). Suppose 2*t - g = -5*n, 13 = 2*t + 3*n - 28. Calculate the remainder when 38 is divided by t.
12
Suppose -5*t - l + 43 = 0, l = t + 3*l - 14. Calculate the remainder when ((-10)/t)/(1/(-8)) is divided by 6.
4
Let s(f) = f**2 - f. Let q = 8 - 5. What is the remainder when q is divided by s(-1)?
1
Let q = 52 - 22. Calculate the remainder when 148 is divided by q.
28
Let q(s) = -3*s - 11. What is the remainder when 125 is divided by q(-9)?
13
Suppose -7*m + 3*m + 68 = 0. Let n(d) = -4*d + 7. Let v be n(-6). Let x = -22 + v. What is the remainder when m is divided by x?
8
Suppose -4 = 2*j, 3*j + 34 = -4*z + 2*j. Let k(h) = -h**3 - 7*h**2 + 7*h - 1. What is the remainder when 13 is divided by k(z)?
6
Suppose 2*x = -5*y + 31, -2*x + 4*y = -4*x + 34. Suppose 4*g + g - 65 = 0. What is the remainder when x is divided by g?
10
Let c(p) = 39*p**3 + 2. What is the remainder when c(1) is divided by 15?
11
Let m be 6/(-27) + 29/9. Suppose m*s - 42 = s. What is the remainder when s is divided by 6?
3
Let r = 60 + -54. What is the remainder when 34 is divided by r?
4
Let c(o) = o**2 - 5*o - 6. Let p be c(-4). Suppose 6*l - p = l. Calculate the remainder when (-57)/(-5) - 8/20 is divided by l.
5
Let f = 5 + -2. Suppose 14 = -f*x + 74. Calculate the remainder when 38 is divided by x.
18
Let q(r) be the third derivative of 0 + 1/120*r**6 + 7/60*r**5 + 0*r - 1/6*r**3 + 1/12*r**4 + r**2. Calculate the remainder when q(-3) is divided by 10.
9
Let u(s) = -s**3 - 4*s**2 - 3*s. What is the remainder when 455/20 + (-3)/4 is divided by u(-4)?
10
Let w(u) = -14*u + 86. What is the remainder when w(4) is divided by 2/(-1 - (-5)/4)?
6
Suppose -5*z + 3*j = -185, 4*z + z - 2*j = 190. Calculate the remainder when 66 is divided by (-88)/(-5) + (-24)/z.
15
Let q = -3 - -8. Suppose 0 = 3*b - 28 - q. What is the remainder when 19 is divided by b?
8
Let s(x) = x**2 + 2*x. Let m be s(4). Let t(g) = -g**2 + 4*g - 2. What is the remainder when t(3) is divided by 6/m + (-3)/(-4)?
0
Suppose -m + 9 = 2*f, 0 = -3*f - 12. Let b = -34 + 43. Calculate the remainder when m is divided by b.
8
Suppose 4*n = -n + 65. Let c be (-3)/(-6) - (-2)/4. What is the remainder when 34 is divided by (c - n)/((-10)/15)?
16
Let c(a) = a**3 - 2*a + 1. Let t be 2*1 - 5/5. Calculate the remainder when 2/(t/(21/3)) is divided by c(2).
4
Suppose -c + 290 = 4*c. Calculate the remainder when c is divided by 10.
8
Let u(x) = 1. Suppose 10*a = 5*a - 10. Let m(t) = -t**2 + t + 1. Let c(d) = a*u(d) - m(d). What is the remainder when 7 is divided by c(3)?
1
Suppose -3*b + 98 = 11*b. What is the remainder when 60 is divided by b?