when p(k) is divided by 3?
2
Let u(n) be the third derivative of n**5/60 + 5*n**4/24 - n**2. Let w be u(-3). What is the remainder when 38 - (-2 - (w + 2)) is divided by 19?
17
Let a(j) be the second derivative of -1/12*j**4 + 1/2*j**2 + 0 + j + 1/3*j**3. Calculate the remainder when a(2) is divided by 1.
0
Suppose -4*i - 4*x - 24 = 0, -3*i + 2*x = 2*i + 51. Calculate the remainder when 65/2 - (-2)/4 is divided by 3/i - (-52)/3.
16
Let f(d) = d**2 + 9*d - 15. Let t be f(-11). Let r = t + 3. Suppose j = -1 + 29. Calculate the remainder when j is divided by r.
8
Let n(p) = -5*p + 4*p + 0 - 2. Let d = 4 - 3. What is the remainder when n(-4) is divided by d?
0
Let w be ((-2)/(-1) + -3)*-4. Suppose -w*x - 18 = -j - x, 2*j + 2*x - 4 = 0. Let c = 2 - -2. What is the remainder when j is divided by c?
2
Let c(d) = -d**3 - 5*d**2 + 12*d + 25. Calculate the remainder when c(-8) is divided by 31.
28
Let v(p) = -p**3 - 18*p**2 + 17*p + 4. Calculate the remainder when v(-19) is divided by 17.
8
Let d be (-9)/(-1)*(-121)/(-33). Let f = -19 + d. Calculate the remainder when f is divided by 6.
2
Let z = -13 - -1. What is the remainder when ((-27)/(-4))/((-3)/z) is divided by 7?
6
Let p = 36 + -20. Calculate the remainder when 59 is divided by p.
11
Let j(x) = x + 30. Calculate the remainder when 189 is divided by j(-6).
21
What is the remainder when 46 is divided by (4*(-3)/3)/(4/(-24))?
22
What is the remainder when 1 - (-31 - (1 - 1)) is divided by 11?
10
Let z(c) = -182*c**3 + 3*c**2 + 4*c + 1. Calculate the remainder when z(-1) is divided by 31.
27
Let s(q) = 9*q**3 - q**2 + 1. Let d be s(-1). Let y(o) = -o**3 - 10*o**2 - 11*o - 9. What is the remainder when 32 is divided by y(d)?
5
Suppose 4*h = -2*i + 12, -i + 4*h - h + 16 = 0. Calculate the remainder when 67 is divided by i.
7
Suppose 0 = 5*n + 5*o + 120, -o = -n - 4*o - 20. Let g = 91 + n. What is the remainder when g is divided by 17?
14
Let j = -7 + -24. Calculate the remainder when 58 is divided by 6/(-12)*(j + 1).
13
Let p be (-3 - -2 - -3) + -2. Suppose 0 = -p*q - 2*q + 72. Calculate the remainder when q is divided by 19.
17
Let x(k) = -3*k + 4. Calculate the remainder when x(-3) is divided by (1 - -7) + 0 - 1.
6
Let k = -4 + 9. Suppose k*c - 2*g - 163 = 0, 5*c + g - 58 = 93. What is the remainder when c is divided by 17?
14
Let r = -3 + 5. What is the remainder when 6 is divided by r?
0
Let n(t) = -3*t**2 + 3*t + 7. Let s be n(7). What is the remainder when (s/(-14))/(2/12) is divided by 13?
12
Let h be 2/5 + 48/5. Let g be h*3/9*-3. Let q = 29 + g. What is the remainder when q is divided by 10?
9
Let p(i) = i**3 - 13*i**2 + 2*i + 5. Calculate the remainder when p(13) is divided by 11.
9
Let y = -15 - -23. Suppose a = -5*j + 37 + 18, 3*j - 15 = 0. Calculate the remainder when a is divided by y.
6
Let a(v) = 5*v**2 - 4*v - 2. Calculate the remainder when a(5) is divided by 21.
19
Let z = 9 + -28. Let x = 41 + z. What is the remainder when 41 is divided by x?
19
Let d(x) be the third derivative of x**5/30 + 5*x**4/24 + x**3/2 + 4*x**2. Calculate the remainder when d(5) is divided by 20.
18
Let o = 36 - 33. What is the remainder when 9 is divided by o?
0
Let l(f) be the first derivative of -f**3/3 + f**2 + 3*f - 1. Let p be l(-4). What is the remainder when 46 is divided by 1*-1 - (4 + p)?
14
Let m = 272 + -243. Calculate the remainder when m is divided by (-2)/(-2)*(-2 - -13).
7
Suppose -5*c = -0*c - m - 184, 3*c = -m + 112. What is the remainder when c is divided by (-12)/48 - (-53)/4?
11
What is the remainder when 28 is divided by 9/3 - (-12 + -1)?
12
Suppose -w + 25 = d - 2*d, 5*d - 127 = -4*w. Suppose n - w = 3*n. What is the remainder when 3 is divided by 7*1*(-4)/n?
1
Let f = 78 - -146. What is the remainder when (-2)/5 - f/(-10) is divided by 12?
10
Suppose -5*i = 3*l - 42, 3*i + 2 = 4*i - l. Let m be -1*1/3*-6. Suppose v - m = i. What is the remainder when 23 is divided by v?
7
Let c(i) = -10*i. Calculate the remainder when c(-3) is divided by (-3)/(-21) + (-152)/(-14).
8
Let t(c) = -c**3 + 8*c**2 - 5*c + 5. Suppose 3*v + 6 = 27. What is the remainder when t(7) is divided by v?
5
Suppose -24 = 4*s - 252. Suppose -4*r = -0*r + 4*n - 20, -5*n + 10 = 0. Suppose -s - 36 = -r*d. Calculate the remainder when d is divided by 8.
7
Let g = 85 - 55. Calculate the remainder when g is divided by 8.
6
Suppose 0 = -3*o + o + 134. What is the remainder when o is divided by 14?
11
What is the remainder when 56 is divided by (-1)/((64/(-20) + 3)/3)?
11
What is the remainder when (4 - (-252)/20) + (-2)/(-5) is divided by 6?
5
Suppose -w - 4*w = -190. Suppose -5*q - d + 38 = -28, -4*q - 5*d + 57 = 0. Calculate the remainder when w is divided by q.
12
Suppose -j = 5*v, 6*j + 4*v = 4*j + 24. Calculate the remainder when 98 is divided by j.
18
Let f = -28 + 31. What is the remainder when 5 is divided by f?
2
Let f = 203 + -96. What is the remainder when f is divided by 22?
19
Suppose 3*q = -q + 12. Let w(f) = f**3 - 2*f**2 - f + 1. Calculate the remainder when w(3) is divided by q.
1
Let f(o) = o**3 + 21*o**2 + 17*o - 25. Calculate the remainder when 100 is divided by f(-20).
30
Suppose -c = -3*j + 1 - 21, 4*j = 3*c - 35. Suppose 7*m + 4 = 18. What is the remainder when c is divided by m?
1
Let y(z) = z**3 + 4*z**2 + 4. Let q be y(-4). Let u be (-21)/12 - 1/q. What is the remainder when 27 + (1 + u - 1) is divided by 13?
12
Let i(t) = -t**3 + 4*t**2 - 3*t + 4. Let p = -28 + 50. Let k = p - 12. Calculate the remainder when k is divided by i(3).
2
Let v be -9*(-2 + 66/(-9)). Suppose 3*m = m + v. Suppose -o + w = -14, w + m = o + 2*o. What is the remainder when 39 is divided by o?
11
Suppose -502 = -3*g + 2*k, g - 5*k + 40 = 216. What is the remainder when g is divided by 28?
26
Let s = 9 - 4. Suppose 4*a + 3*n - 66 = s*n, 0 = -2*a + 5*n + 13. Calculate the remainder when a is divided by 11.
8
Let x = 100 + -34. Calculate the remainder when x is divided by 23.
20
Let r be 4004/16 - 2/8. Suppose 5*c - 2*w = r, c - 3*c + 100 = -2*w. Let t(g) = 13*g**3 - g**2 + 2*g - 1. What is the remainder when c is divided by t(1)?
11
Suppose -x = 4*r + 6 + 1, -3*r - 57 = -5*x. Suppose -d - 2*d + 75 = 0. Calculate the remainder when d is divided by x.
7
Suppose -5*h + 4 = -6. What is the remainder when (-332)/(-36) + h/(-9) is divided by 4?
1
Let v = 1 - -24. What is the remainder when 97 is divided by v?
22
What is the remainder when 51 is divided by (-2 - -3)*(-33)/(-3)?
7
Let g(h) be the second derivative of -h**5/20 - 5*h**4/6 + 2*h**3 + 7*h**2 + 5*h. Calculate the remainder when 9 is divided by g(-11).
0
Let q = -34 - -43. Calculate the remainder when 24 is divided by q.
6
Let j = -18 - -9. What is the remainder when 57*3*(-2)/j is divided by 10?
8
Let n(s) = 5 + 0*s - s - 7. Let m be n(-4). Suppose 7*k - 25 = m*k. Calculate the remainder when k is divided by 3.
2
Suppose -3*t + 3 = -o - o, 3*t - 5*o - 3 = 0. Let g be (9/6 - t)*0. Calculate the remainder when 40 is divided by g + (14 - 0) + 0.
12
Suppose -5*u - 491 + 1341 = 0. Suppose -4*w = w - u. Calculate the remainder when (w - -1)*(-6)/(-15) is divided by 8.
6
Suppose 0 = -4*f - 16, -5*s + 5*f + 21 + 44 = 0. What is the remainder when ((-5)/(-2))/((-1)/(-6)) is divided by s?
6
Suppose 4*d - w - 19 = -0*d, 3*d = w + 15. Let a(i) = i**2 - 6*i + 10. What is the remainder when 7 is divided by a(d)?
1
Let c(y) = 3*y - 43. Let t = -27 + 44. What is the remainder when c(25) is divided by t?
15
Let o(v) be the first derivative of v**2/2 + 15*v + 1. Suppose -y + 118 = 4*h, 2*h + 2*y = -3*h + 149. Calculate the remainder when h is divided by o(0).
14
Suppose -3*o = y + 3*y - 42, 52 = 4*o + 4*y. Calculate the remainder when 38 is divided by o.
8
Let v(g) = 9*g**2 + 2*g + 3. Calculate the remainder when v(-3) is divided by 20.
18
Calculate the remainder when 121/4 + (-2)/8 is divided by (-6)/9*-18 - -4.
14
Suppose 3*f - 2 = 3*v + 1, 5*f + 4*v = 14. Let w(t) = 3*t**2 - 3*t. Calculate the remainder when 21 is divided by w(f).
3
Let u(j) = -j**3 + 6*j**2 + j - 2. Let t be u(6). Suppose 0 = t*q - 36 - 16. Let h(v) = 23*v**2 + 2*v - 1. Calculate the remainder when h(1) is divided by q.
11
Suppose 24 = -5*i - 76. Calculate the remainder when 5/2*(-304)/i is divided by 13.
12
Calculate