 a(j) be the first derivative of -j**4/4 + 7*j**3/3 + 3*j**2/2 - 4*j - 3. What is the remainder when a(7) is divided by 10?
7
Suppose 0 = -3*c + 5*u - 23, 8 = -2*c - 6*u + 2*u. Let x(s) = -s**2 - 8*s - 4. Let q = -41 + 63. What is the remainder when q is divided by x(c)?
6
Let a = -31 - -50. Calculate the remainder when a is divided by 5.
4
Let z = 161 + -59. Suppose 2*c = 25 + 17. Calculate the remainder when c is divided by 4/6 + z/9.
9
Let p = -370 + 551. Suppose -4*z = -5*t + p, 3*z + 2*z - 116 = -3*t. Calculate the remainder when t is divided by 19.
18
Let y = -1 + 3. Suppose -5*m = -5*v + 65, 0 = -4*v + 8*v + 3*m - 38. Let k = v - y. What is the remainder when 17 is divided by k?
8
Let p = -5 + 9. What is the remainder when 210/12 - 2/p is divided by 5?
2
Suppose 2 = i + 3*c, -3*i + 6 = c + 4*c. Suppose -p + 16 = i. What is the remainder when 39 is divided by p?
11
Suppose 5*p - 65 = -0*p. What is the remainder when p is divided by 8?
5
What is the remainder when 14 is divided by ((-30)/3 - 0)/(-2)?
4
Let z(l) be the first derivative of l**2/2 - 7*l + 1. Let i be z(7). Suppose u + 0 = -2*a + 20, 5*u + 10 = i. Calculate the remainder when 21 is divided by a.
10
Suppose -3*v - 90 = -3*b, 2*b - 5*v = 95 - 20. Calculate the remainder when 74 is divided by b.
24
Let u(s) = 25*s. Let j be u(-2). Let o = 71 + j. Suppose 3*z = -h - z + 39, -5*z - o = -h. What is the remainder when h is divided by 11?
9
Let p = -18 + 10. Let k(y) = -y**2 - 8*y + 7. Let r be k(p). Suppose 40 = r*f - 3*f. What is the remainder when 28 is divided by f?
8
Suppose 5*c = 10, -6*l + 4*c = -2*l + 8. Suppose l = q - 3*a - 37, -8 + 20 = -4*a. Suppose -2*f + q = -14. What is the remainder when 40 is divided by f?
19
Let a = 64 + -27. Calculate the remainder when a is divided by 15.
7
Calculate the remainder when (4/(-6))/(2/(-129)) is divided by (-1)/((-12)/(-45))*-4.
13
Suppose 0 = -2*j + 2*a + 6 + 10, -3*j - 8 = 5*a. Calculate the remainder when 6 is divided by j.
2
Let q(t) = 16*t**2 + 2*t + 1. Let x be q(-1). Suppose 63 - x = 3*m. Calculate the remainder when 62 is divided by m.
14
Let p(m) = m**2 - 7*m + 4. Let y be p(7). Suppose 10 = s + y. Calculate the remainder when 10 is divided by s.
4
Let t(h) = -h**3 + 11*h**2 - 4*h - 1. Suppose 3*r - 37 = -7. Calculate the remainder when t(r) is divided by 15.
14
Suppose 0 = -2*a + 5*a - 21. Let t(v) = v + 4. What is the remainder when a is divided by t(-2)?
1
Let t = 26 + 5. Suppose -12 = -s + t. Calculate the remainder when s is divided by 15.
13
Let r(w) = -w + 22. What is the remainder when -3 + (-2)/((-6)/201) is divided by r(0)?
20
Let l(i) = i**2 + 11*i - 7. Suppose -6 = -3*f + 21. What is the remainder when f is divided by l(-12)?
4
Let l(k) = -4*k**3 + k**2 + 3*k + 1. What is the remainder when 122 is divided by l(-2)?
29
Suppose -52 = -4*b - j + 2*j, 2*b - 26 = -5*j. What is the remainder when 50 is divided by b?
11
Let s = 17 + -6. Let b(j) = j**2 - 10*j + 16. What is the remainder when b(s) is divided by 10?
7
Let n(z) = -6*z - 4. Let t(m) = -m - 2. Let b be t(2). Suppose -5*u = -6 - 29. What is the remainder when n(b) is divided by u?
6
Let d be 73/(-4) - (-2)/8. Let t = d - -28. Calculate the remainder when 27 is divided by t.
7
Let j be (-360)/16*(-8)/(-10). What is the remainder when 47 is divided by (-4)/j + 636/54?
11
Let p(s) = -s**3 + 7*s**2 + 6*s - 10. Let c be p(7). What is the remainder when 37 is divided by (15/(-2))/((-12)/c)?
17
Suppose 4*m = 5*a - 0*m - 142, -2*a - m + 49 = 0. Let y(u) = -u**3 + 7*u**2 + 10*u - 7. Let g = 10 + -2. Calculate the remainder when a is divided by y(g).
8
Suppose 0 = -3*g - 5*x + 8, 5*x + 38 = 5*g + x. Let b(j) = g*j**2 - 2*j**2 + 2 + 3*j**2 + j**3 + 6*j. Calculate the remainder when 4 is divided by b(-6).
0
Let i(n) be the first derivative of n + 1/2*n**4 - n**3 + 0*n**2 - 2. What is the remainder when 14 is divided by i(2)?
4
Suppose -2*r - 174 = -4*m, -2*m + 3*r = -2*r - 107. What is the remainder when m is divided by 14?
13
Suppose i = -i + 28. Suppose -3*n = 2 - i. Calculate the remainder when 14 is divided by n.
2
Let h(v) = v**3 + 4. Let p be h(0). Suppose -2*n = 3*j - 2*j - 28, -n - p*j + 21 = 0. Calculate the remainder when 24 is divided by n.
11
Suppose 3*y - 15 = 0, 0 = 4*j + 4*y - 30 + 6. Let h = 5 + j. Calculate the remainder when 10 is divided by h.
4
Let r(n) be the second derivative of -n**3/2 + 4*n**2 - n. What is the remainder when r(-7) is divided by (-10 + 0)*(-4 - -3)?
9
Let s(b) = 2*b**3 - 2*b**2 - 3*b - 2. Suppose -5 + 31 = 2*i. Calculate the remainder when s(3) is divided by i.
12
Let z = 52 - 32. Calculate the remainder when 1 - 1/(1/(-37)) is divided by z.
18
Let b(t) = 6*t + 5*t**3 - 2*t**3 - 6*t**2 - 2*t**3. Let q be b(5). Suppose j - 277 = -q*h - 105, -5*j - 15 = 0. Calculate the remainder when h is divided by 12.
11
Suppose -4 = -2*x - 3*a + 63, 4*a - 150 = -5*x. What is the remainder when x is divided by 10?
6
Suppose 243 = 4*t + 5*w + 49, w = -4*t + 186. Calculate the remainder when t is divided by 12.
10
Let c(t) = -2*t + 3. Calculate the remainder when 40 is divided by c(-4).
7
Suppose -4*l = 8 + 4. What is the remainder when 39 + l + 2 + 0 is divided by 10?
8
Let k = -1 + 4. Let s(z) = 0*z + 2*z - k*z - 2*z. What is the remainder when s(-1) is divided by 2?
1
Suppose 3*i - 5*i + 5*t = -99, -4*t + 4 = 0. Calculate the remainder when i is divided by 11.
8
Let r(d) = -3*d - 13. Let i(c) = 7*c + 26. Let f(t) = -4*i(t) - 7*r(t). What is the remainder when f(-4) is divided by 8?
7
Let m = -104 + 113. Calculate the remainder when 24 is divided by m.
6
Let a(p) = 9*p - 4. Let c be a(-3). Let k = 52 + c. Calculate the remainder when 40 is divided by k.
19
Let w = 62 + -21. Calculate the remainder when w is divided by 14.
13
Let t = -70 - -23. Let v = 30 - 20. What is the remainder when (-1 + t)*v/(-15) is divided by 17?
15
Let r = 21 - 13. Calculate the remainder when 23 is divided by r.
7
Let o(c) = c**3 - c**2 + 1. Calculate the remainder when 73 is divided by o(3).
16
Calculate the remainder when 37 is divided by (10/7)/((-1)/(-7)).
7
Suppose l = 91 - 16. What is the remainder when l is divided by 39?
36
Let i = -154 - -179. Calculate the remainder when 72 is divided by i.
22
Let x be (-2)/6 + 91/21. Let q = 11 + x. What is the remainder when (-1)/(1/q*-1) is divided by 6?
3
Suppose 378 = 2*x + 4*x. Calculate the remainder when x is divided by 11.
8
Let j = -14 - -22. What is the remainder when 22 is divided by j?
6
Let r = 121 - 85. What is the remainder when 249 is divided by r?
33
Let b be ((-2)/3)/(1/(-3)). Suppose 0 = 5*m + b*d - 18, -4*d = 2*m - 5*m + 16. What is the remainder when 11 is divided by m?
3
Let k be 15/10*6/1. Let r be 2/(-6) - (-111)/k. Suppose 0 = -3*u - 3*g + 30, -32 = -3*u + 2*g - r. Calculate the remainder when 21 is divided by u.
5
Let q(o) = o**2 + 7*o + 6. Let t be q(-5). Let d = t - -8. What is the remainder when 13 is divided by d?
1
Let j = 6 - 4. Suppose 0 = 4*k - j - 66. Suppose 2*w = -2*w + 4*v + 144, -2*w = 4*v - 54. Calculate the remainder when w is divided by k.
16
Suppose 5*g = -5*n + 65, 0 = -4*n - 7*g + 2*g + 56. Let w(i) = -1 + 3*i + 4*i**2 - 3*i**2 - 2. Calculate the remainder when w(4) is divided by n.
7
Suppose 15 = -2*i - 3*i. Let r(q) = -2*q - 2. Let k be r(i). What is the remainder when (47/4)/(1/k) is divided by 16?
15
Let d be 4/(-1 - 6/(-4)). Let t be -2 + d + -2 - -2. Suppose 3*v - 5*u = 55, 5*v - t*u - 113 = -3*u. Calculate the remainder when v is divided by 9.
7
Suppose 0 = -3*s + 5*l - 9, -2*l = -3*s - l + 3. Suppose -s*k - 146 = -4*k. What is the remainder when k is divided by 19?
16
Let z = -99 - -103. What is the remainder when 35 is divided by z?
3
Let c = 140 - 68. Suppose 28 = 4*l - 48. What is the remainder when c is divided by l?
15
Let w = 65 + -45. What is the remainder when 39 is divided by w?
19
Let t = 18 - -11. What is the remainder when 56 is divided by t?
27
Let a(d) = d**2 + 5*d + 5. What is the remainder when 119 is divided by a(-6)?
9
Suppose -5*y - 24 = 3*d - 85, 2*d - 4*y - 26 = 0. Let m(q) = -23*q + 2. Let u be ((-3)/(-2) - 1)*-4. Calculate the remainder when m(u) is divided by d.
14
What is the remainder when 318/3*(-1)/(-2) is divided by 11?
9
Suppose 2*v + 164 = 