late the remainder when 8 is divided by p.
2
Let u(f) be the third derivative of -f**4/12 + 2*f**3/3 - 2*f**2. Suppose -3*n = m + m + 11, 5*m + 5 = 0. Calculate the remainder when 28 is divided by u(n).
8
Let r = 7 + -4. Let l be 6/(1 + (-3)/(-6)). Suppose 19 = l*w - 9. Calculate the remainder when w is divided by r.
1
Let k(v) = 2*v**2 - 6*v - 1. Calculate the remainder when k(-4) is divided by 14.
13
Suppose 13*n = 8*n + 330. What is the remainder when n is divided by 34?
32
Suppose 0 = 3*x - 14 - 37. What is the remainder when (0 - 2)/(1/(-16)) is divided by x?
15
Let k = 82 + -54. Calculate the remainder when 83 is divided by k.
27
Suppose 4*h - 9*h = -75. What is the remainder when 59 is divided by h?
14
Let a = 7 + -2. Suppose -4 = 3*r - a*r. Let f(z) = 4*z**2 - z. Calculate the remainder when f(-1) is divided by r.
1
Let y = -43 - -56. What is the remainder when 49 is divided by y?
10
Suppose 0 = k - 2*r + 4, 2*k - 4*r = 6*k - 32. Calculate the remainder when (3 - 2 - 1) + k is divided by 2.
0
Let i = 23 - 16. Let l = 36 - i. Suppose 5*a - 13 - 42 = -3*v, -5*v - a = -55. What is the remainder when l is divided by v?
9
Let l = 37 + -27. What is the remainder when l is divided by 6?
4
Suppose -2*p + 3*p - 4 = 0. Suppose p*s - 7 = 1, 0 = 3*j - 2*s - 47. What is the remainder when 33 is divided by j?
16
Suppose 0 = -5*f - 4*f + f. Let d(o) = -o**2 - 1. Let t(y) = -y**2 - y - 40. Let m(r) = 2*d(r) - t(r). What is the remainder when m(f) is divided by 10?
8
Let m(l) = l + 7. Let z be m(-5). Suppose -4*v = -5*a - 35 - 7, z*v - 34 = -4*a. Suppose -2*r + 7 = -7. What is the remainder when v is divided by r?
6
Calculate the remainder when 20/15*636/16 is divided by 6.
5
Suppose 4*n - 31 + 11 = 0. Calculate the remainder when ((-42)/(-4))/((-6)/(-8)) is divided by n.
4
Let y be (-9)/6*8/(-6). Suppose 0 = -3*s - 2*l + 18, y*l + 0*l - 6 = 0. Calculate the remainder when s is divided by 3.
1
Suppose 6 = -c + 2*c. Calculate the remainder when 32 is divided by c.
2
Let u(x) = -x + 1. Let b(n) = -3*n + 4. Let g(c) = -b(c) + 4*u(c). Calculate the remainder when 3 is divided by g(-3).
0
Let h(d) = 5*d**2 + 3*d. Let c be h(4). Suppose -5*n = -3*l - c, -2*n + 0*n + 36 = -2*l. What is the remainder when n is divided by 5?
4
Suppose -u = -j, 5*u + 4*j = 3*u. Suppose -o + 6 = -u. What is the remainder when 10 is divided by o?
4
Let w = -18 + 24. Suppose 3*p - w = -c - p, -c + 12 = -2*p. Calculate the remainder when 26 is divided by c.
6
Let x be ((-4)/(-8))/((-1)/4). Calculate the remainder when (x - -9) + 0/(-2) is divided by 4.
3
Suppose 0*i = 2*t - 3*i - 18, 0 = 3*t - i - 34. Calculate the remainder when 22 is divided by t.
10
Let m(f) = -4*f - 3. Suppose -4 = 3*x + 8. What is the remainder when m(x) is divided by 7?
6
Let g(h) = h - 1. Let d be g(3). Let l be 3 + (-2 - -1) + 2. Suppose -d*v + 31 = 5*s, -v + 2*v + l*s = 23. Calculate the remainder when 5 is divided by v.
2
Let o be (-6)/(-8) + (-85)/(-20). Suppose 5*i = -5*x, 2*i - o*x + 30 - 9 = 0. Let d(m) = m**2 - m. Calculate the remainder when d(i) is divided by 5.
2
What is the remainder when 21 is divided by (-16 - -7)*4/(-3)?
9
Suppose 6*v - 2*v - 228 = 0. What is the remainder when v is divided by 12?
9
Let n(g) = 7*g - 8. Let y(i) = 11*i - 12. Let f(c) = 8*n(c) - 5*y(c). Let x(z) = -z + 9. Let o be x(0). What is the remainder when f(o) is divided by 2?
1
Let x(v) = -11*v**3 - 19*v**2 - 6. Let m(k) = 5*k**3 + 9*k**2 + 3. Let y(n) = 9*m(n) + 4*x(n). What is the remainder when 5 is divided by y(-5)?
2
Suppose -50 = -v - 4*r, -r - 4*r + 45 = v. What is the remainder when v is divided by 18?
16
Suppose 38 = 16*h - 15*h. What is the remainder when h is divided by 10?
8
Let a(y) = -7*y + 3. Let o(l) = l**2 + 9*l + 5. Let h be o(-8). Calculate the remainder when a(h) is divided by 14.
10
Let j(g) = -g**3 + 6*g**2 - 3*g - 3. Let f(r) = -r**2 - 7*r + 3. Let m(n) = -n**2 - 7*n + 2. Let b be m(-8). What is the remainder when j(4) is divided by f(b)?
8
Suppose -2*k + 4*k = -3*b - 398, 259 = -2*b + 5*k. Let x = b - 14. What is the remainder when 73 is divided by x/(-6) - (-6)/9?
23
Let i = 91 + -43. Calculate the remainder when i is divided by 6.
0
Suppose -9*d + 5*d = -8. Suppose 0 = d*h - 0 - 12. What is the remainder when 23 is divided by h?
5
Let a(i) = -4*i - i + 3*i - 3 + 1. Calculate the remainder when a(-5) is divided by 3.
2
Let f(v) = v**2 - v - 2. Let h = -2 + 6. Let y be f(h). Let z(c) = -c**3 + 9*c**2 + 10*c + 13. Calculate the remainder when z(y) is divided by 5.
3
Let u(m) = 4*m - 11. What is the remainder when u(8) is divided by 6?
3
Suppose 6*b - 30 - 12 = 0. What is the remainder when 61 is divided by b?
5
Suppose 5*r - 2*a = -0*a + 29, -5*a - 20 = -5*r. Calculate the remainder when r is divided by 4.
3
Let n be 6 + 0 - (-2)/1. Suppose 3*u - 19 = -4. What is the remainder when u is divided by (-3)/(-2) - (-4)/n?
1
Suppose 2*x - 2*g - 4 - 20 = 0, -x - 4*g + 22 = 0. Let o = 55 + -3. What is the remainder when o is divided by x?
10
Let y(n) = -2*n - 11. Let r be y(-10). Let b(u) = u + 3. Calculate the remainder when 22 is divided by b(r).
10
What is the remainder when 1832/36 - 1/(-9) is divided by 18?
15
Let t(n) = 5*n**2 - n - 3. What is the remainder when t(3) is divided by 8?
7
Let l(n) be the second derivative of n**4/12 - 2*n**3/3 - 5*n**2/2 - 3*n. Calculate the remainder when 30 is divided by l(7).
14
Let z = 13 - 0. Let w = -8 + z. Let p = -3 + 12. Calculate the remainder when p is divided by w.
4
Let k(p) = -7*p**2 - 2. Let n be k(2). Let q = 42 + n. What is the remainder when 21 is divided by q?
9
Let h(l) be the first derivative of 0*l**2 + 4*l + 5/3*l**3 + 1 - 1/4*l**4. What is the remainder when 11 is divided by h(5)?
3
Let q = 49 + -43. Calculate the remainder when 22 is divided by q.
4
Suppose 2 = -3*r + 2*r. What is the remainder when (4 + r - -22) + -3 is divided by 10/1 - -1*1?
10
Let d(r) = -r + 10. What is the remainder when 26 is divided by d(3)?
5
Let o(y) = -2*y - 8. Let w be o(-6). Suppose 3 + 33 = w*g. Let l(a) = a**3 + 4*a**2 + 2*a. Calculate the remainder when g is divided by l(-2).
1
Let y(j) be the first derivative of -1/3*j**3 + j - 1 + 1/2*j**2 - 1/4*j**4. Calculate the remainder when y(-3) is divided by 9.
7
Let t be (-2600)/(-7) + 15/(-35). Suppose -w = 3*v - 83, -5*w - v + t = 3*v. What is the remainder when w is divided by 24?
23
Let x = 1 + 9. Calculate the remainder when 19 is divided by x.
9
Suppose -5*b = -158 - 192. Calculate the remainder when b is divided by 24.
22
Let t = -189 - -115. Let r = -43 - t. Calculate the remainder when r is divided by 16.
15
Suppose -2*n = -4*n + 44. Suppose 4*f - 3*c = 26, c - 3*c + 36 = 4*f. What is the remainder when n is divided by f?
6
Let c be (2/4)/(7/70). What is the remainder when (22 - 0) + -2 + c is divided by 14?
11
Let d(m) = -m - 5. Let x be d(-4). Let q be (-2 - 40 - 2)/x. Let f = -24 + q. Calculate the remainder when f is divided by 7.
6
Suppose -5*t - 8 = 2. Let a(v) = 2*v**2 + 2*v**2 + 2 + 3*v - 2*v. Calculate the remainder when a(t) is divided by 9.
7
Let s be (-4)/18 - (-22)/18. Let i(a) = 12*a + 1. Let w = 25 - 18. Calculate the remainder when i(s) is divided by w.
6
Let c(o) = 6*o**2 + 5*o - 3. Let b be c(-4). Suppose -2*i + 16 + 10 = -2*h, -3*h = 5*i - b. Calculate the remainder when 38 is divided by i.
10
Let x be 3/((-6)/(-8)*-2). Calculate the remainder when 7 is divided by 36/8 - (-1)/x.
3
Let o be (-20)/2*2/(-5). Let y be o/(-1 + 31/29). Suppose 31 + y = 4*f + v, -2*f + v = -49. Calculate the remainder when f is divided by 6.
5
Let i(y) = y + 6. Suppose 4*w - 106 = 78. What is the remainder when w is divided by i(6)?
10
Let f(g) be the first derivative of 2*g**3/3 + 3*g**2/2 - g - 2. Let x be f(-5). Let j = x - 8. What is the remainder when j is divided by 14?
12
Let m(r) = r - 2. Let n be m(-5). Let s(c) = -c - 2. Suppose 4*f = -0*f + 32. Calculate the remainder when f is divided by s(n).
3
Suppose 0 = c - 49 + 26. What is the remainder when c is divided by 6?
5
Suppose 7*x = 8*x - 2. Suppose 0 = -x*h - 3*h + 650. Suppose 0 = -3*v - d + 88, -5*v - 6*d + h = -d. Calculate the remainder when v is divided by 16.
15
Suppose s - 142 = -s. Let i = 72 + -48. Calculate the remainder when s is divided 