e the third derivative of i**6/120 + 3*i**5/20 - 11*i**4/24 + 3*i**3/2 + i**2. What is the remainder when r(h) is divided by 7?
5
Let s(l) = l**3 - 2*l**2 + l - 4. Let h(d) = -d**2 + d + 1. Let q(k) = -3*h(k) - s(k). Calculate the remainder when 1 is divided by q(4).
0
Let i = -3 - -6. Let s = i + -6. Let o(r) = 2*r**2 + 3*r. What is the remainder when 17 is divided by o(s)?
8
Let y(q) = 8*q + 6. Let f(m) = -7*m - 5. Let k(p) = -5*f(p) - 4*y(p). What is the remainder when k(9) is divided by 10?
8
Suppose -90 = -4*l + 142. Calculate the remainder when l is divided by 30.
28
Let g be (-105)/(-12) - 2/(-8). Let k be (-3)/g - 28/(-3). Calculate the remainder when 43 is divided by ((-22)/3)/((-3)/k).
21
Let n(t) = 14*t**2 - 1. What is the remainder when 38 is divided by n(-1)?
12
Let w = 17 + 7. Suppose 3*n = n + w. Calculate the remainder when 23 is divided by n.
11
Suppose 5*t - 12 = -2. Suppose -2*p + 30 = t*r, r + 2*p - 3 = 14. What is the remainder when r is divided by 7?
6
Suppose -11*y + 7*y + 16 = 0. Calculate the remainder when 10 is divided by y.
2
Let h(c) = -14*c - 4. What is the remainder when h(-4) is divided by 36/((-12)/3)*-2?
16
Let t = 105 - 61. Suppose -9 = -3*c - 4*a + 4, -4*c = -2*a + 12. Let v = 16 + c. Calculate the remainder when t is divided by v.
14
Let w(j) = -j + 11. Let h be w(9). Suppose -h*f = -4 + 2. Suppose 0 = 5*a - 3 - 7. Calculate the remainder when a is divided by f.
0
Let l = 28 - 5. What is the remainder when l is divided by 6?
5
Let l(c) = -c + 13. Suppose -4*b - 1 = -3*o, -2*b = -o - 0*o + 1. What is the remainder when o/(-4)*4*49 is divided by l(0)?
10
Let i = 8 + -24. Suppose -205 = 5*b + 5*f, -b + 4*b - 5*f = -115. Let k = i - b. Calculate the remainder when k is divided by 13.
11
Suppose k - 5*r = -2, -5*k + 50 = -0*k - 5*r. What is the remainder when 36 is divided by k?
10
Suppose 2*i - 2 = 26. Let h(g) = -2*g - 1. Let k be h(7). Calculate the remainder when (-7137)/(-135) + (-2)/k is divided by i.
11
Let a(j) = j**3 + 6*j**2 - 3. Suppose 0*k - 100 = 4*k. Let t = -15 - k. What is the remainder when a(-4) is divided by t?
9
Let a(z) = -z**2 + 7*z + 11. Let d be a(8). Suppose -d*y - 16 = y. Let k = 9 + y. What is the remainder when 9 is divided by k?
4
Suppose 4*v - 316 = -0*v. Calculate the remainder when v is divided by 16.
15
Suppose -4*x - 2 = x - 4*h, -h - 8 = 3*x. Calculate the remainder when (x/(-5))/(3/30) is divided by 2.
0
Let j(h) be the second derivative of 4*h**4 - h**2/2 + 2*h. Calculate the remainder when j(1) is divided by 16.
15
Let i(n) = n**3 + 4*n**2 - 7*n + 3. Calculate the remainder when 123 is divided by i(-4).
30
Suppose -3*x + 133 = -23. Suppose -4*k = 5*r - 3*r - 76, 0 = -2*k - 2*r + 40. What is the remainder when x is divided by k?
16
Let x be (7/21)/((-1)/9). Let s = 7 - x. Let i = 35 + -7. What is the remainder when i is divided by s?
8
Let x(n) = n**3 + 6*n**2 + 3*n - 4. Calculate the remainder when 27 is divided by x(-5).
3
Let f be 6/(-4)*-4 + -1. Calculate the remainder when f/(-3 + (-32)/(-10)) is divided by 14.
11
Let k = 15 - 9. Calculate the remainder when 17 is divided by k.
5
Suppose -25 = -3*k - 2*k. Suppose -k*b + 180 = 55. What is the remainder when b is divided by (-63)/(-5) - (-6)/15?
12
Suppose -6*a + 3*s + 27 = -2*a, 0 = 4*s + 4. Calculate the remainder when 22 is divided by a.
4
Let k = -17 + 45. Calculate the remainder when 139 is divided by k.
27
Let v = 1 + 1. Suppose v*g - 79 = 21. What is the remainder when g is divided by 13?
11
Let g(q) = 7*q + 6. Calculate the remainder when g(3) is divided by 10.
7
Let q = -2 - -16. What is the remainder when 24 is divided by q?
10
Let m(y) = -89*y - 1. Suppose 0*n - 3 = 3*n. Let f be m(n). Suppose 0 = 2*k - 16 - f. Calculate the remainder when k is divided by 18.
16
Calculate the remainder when 38 is divided by 3/(1/40*6).
18
Let h = 7 + 4. Suppose q = -h + 35. What is the remainder when q is divided by 14?
10
Let t be 4/8 + 62/(-4). Let o = t - -18. What is the remainder when 9 is divided by o?
0
Suppose -2*y - 4 = -3*y. What is the remainder when 17 is divided by y?
1
Let r(x) = -x**3 + 6*x**2 + 8*x + 5. Let o be r(7). Suppose o*b = 7*b + 35. Calculate the remainder when 11 is divided by b.
4
Let z = -7 - -10. Suppose -z*u - 123 = -3. Let i = -24 - u. Calculate the remainder when 29 is divided by i.
13
Let r = 41 - 15. Calculate the remainder when r is divided by ((-12)/(-14))/(28/294).
8
Suppose -15*u + 8*u = -168. Calculate the remainder when u is divided by 9.
6
Let p = 85 - 24. Suppose 0 = -5*z + 5*b + 105, -3*z + p = -2*b - 3. Calculate the remainder when 63 is divided by z.
19
Let y(p) = -2*p + 5. What is the remainder when 32 is divided by y(-6)?
15
Let w(i) be the first derivative of i**2 + 17*i - 8. Calculate the remainder when 80 is divided by w(5).
26
Let y(h) = h**2 + 2*h + 2. Calculate the remainder when 148 is divided by y(6).
48
Let p = -71 + 99. Calculate the remainder when p is divided by 10.
8
Let h = 166 + -138. Calculate the remainder when 30 is divided by h.
2
Suppose 0 = -a - 3*a - 140. Let m = -21 - a. What is the remainder when 55 is divided by m?
13
Let y = -18 - -32. Suppose 15 = q - 12. Calculate the remainder when q is divided by y.
13
Let z be (2 + 1)*-1 + 6. Suppose -7 = 5*d + z. What is the remainder when 25 is divided by 3/1 - (-12 - d)?
12
Let l(a) = -5*a. Suppose 3*x + 4 - 37 = 0. What is the remainder when l(-4) is divided by x?
9
Let w(q) = -2*q**3 - 9*q**2 - 10*q - 10. Let b = 28 - 11. Calculate the remainder when w(-5) is divided by b.
14
Let s be 296/10 + (-2)/(-5). Suppose 4*j + s = 134. Suppose 2*o - 28 = -0*o. Calculate the remainder when j is divided by o.
12
Suppose 3*n - 10*s + 15*s - 78 = 0, n - s - 18 = 0. Suppose -2*w + 305 = 3*w. What is the remainder when w is divided by n?
19
Let y(w) = -w**2 + 7*w + 11. Suppose 0 = -5*c + 15, 24 = 5*i - 3*c - 7. Let p be y(i). Suppose l - 4 + p = 0. Calculate the remainder when l is divided by 1.
0
Let z(k) = -k**3 - 3*k**2 - 3*k + 3. Let v be z(-3). Suppose 9*y = 12*y - v. Calculate the remainder when 9 is divided by y.
1
Suppose -v = -4*j + 15, j - 17 = -4*v + 8. Calculate the remainder when v is divided by 2.
1
Suppose -z - 16 = -10*t + 5*t, -t = -2*z + 4. Suppose x + 228 = z*x. Suppose 2 = -2*w + 12, 2*l + 4*w = x. What is the remainder when l is divided by 10?
8
Suppose 24 = -2*r + 4*r. Calculate the remainder when 46 is divided by r.
10
Let m(v) = -4*v - 4. Let t be m(3). What is the remainder when t/(-40) - 228/(-5) is divided by 16?
14
Let h = -20 + 12. Calculate the remainder when -36*(20/h - -2) is divided by 5.
3
Let k(d) = d**2 + d + 2. Suppose 8 = -0*o - 2*o. What is the remainder when k(o) is divided by 8?
6
Let u(g) = g**3 - 5*g**2 + g + 3. Let i be u(4). Let h = -3 - i. What is the remainder when 22 is divided by h?
4
Let z = -12 + 27. Suppose 96 = 2*q - 64. Suppose 0*x + x - 52 = 3*a, q = 2*x + 2*a. Calculate the remainder when x is divided by z.
13
Suppose -5*d = -5 - 10. Suppose 0 = 5*i - 4*t - 98, 2*i + 3*t - d - 27 = 0. Let m = 3 + 50. What is the remainder when m is divided by i?
17
Let y = -14 - -15. What is the remainder when (y + -9)/(16/(-88)) is divided by 9?
8
Suppose 0 = -0*v - 4*v + 12. Suppose 2*f - 21 + v = 0. What is the remainder when 15 is divided by f?
6
Let q = -31 - -46. Suppose 75 - q = 5*s. Calculate the remainder when 21 is divided by s.
9
Let n(z) = -7*z + 1 + 2*z - 5 + 3. Calculate the remainder when n(-8) is divided by 10.
9
Suppose 6*d = 2*d + 164. Suppose -n + 2 = -2*l + 5, 12 = -4*n. Suppose l = 3*s - d - 19. What is the remainder when s is divided by 7?
6
Suppose 0 = 17*x - 21*x + 296. Calculate the remainder when x is divided by 26.
22
Suppose -61 = -3*z - 1. What is the remainder when 36 is divided by z?
16
Suppose 76 = 5*d + 3*l + 22, 4*l = 3*d - 15. Suppose u - d = 1. Calculate the remainder when (-6)/9 - 112/(-6) is divided by u.
8
Let z = -11 + 77. Suppose -4*s + 10 = -z. Calculate the remainder when s is divided by 10.
9
Let m = -8 + 10. Suppose -m*y = -2*h - 30, h - 5*h = y - 10. Suppose 0 = g + 2*g + k - 119, -152 = -4*g - 3*k. What is the remainder when g is divided by y?
13
Let i = 60 + -29. Suppose 5*t + 3*v = 11, 4*t + t - 29 = 3*v. Suppose t*y = -w - 1, -4*w - y +