 Let c(u) = u**3 + 4*u**2 - u - 1. What is the remainder when n is divided by c(-2)?
8
What is the remainder when 34 is divided by 4/(-14) - (-260)/28?
7
Let j(u) = 5*u - 1. Let m be 13/26 + (-5)/(-2). Let l = 14 + m. Calculate the remainder when l is divided by j(2).
8
Let w = 37 + 80. What is the remainder when w is divided by 20?
17
Suppose 0 = -3*r + 3. Let y = 0 - -4. What is the remainder when r is divided by (-9)/(-7) + y/(-14)?
0
Let u be (4/5)/(6/(-45)). Let h be ((-32)/u)/((-2)/(-3)). What is the remainder when 138/8 + (-2)/h is divided by 5?
2
Suppose x + 2*x = -d + 82, -5*x + d = -150. Suppose 64 = 2*r + 2*r. What is the remainder when x is divided by r?
13
Suppose 0 = -3*l + 72 + 18. What is the remainder when l is divided by 2/(-10)*-2*20?
6
Let w = 27 - 15. Suppose 3*u + 0*u = w. Suppose -u*c + 0*c + 32 = 0. Calculate the remainder when 23 is divided by c.
7
Let d be -5 + (-1 - -4) + 13. Suppose 9 = t - d. Let f = -39 - -97. Calculate the remainder when f is divided by t.
18
Let h = 10 + 3. Let b(d) = -d**2 - 12*d + 13. Let g be b(-11). Suppose -4*s + f = -g, 0 = s + s - 4*f + 2. Calculate the remainder when h is divided by s.
6
Let b = -175 - -61. Calculate the remainder when (3/9)/((-1)/b) is divided by 10.
8
Let t(i) = -8*i**2 - i + 2. Let q be t(-2). Let l = -10 - q. What is the remainder when l is divided by 4?
2
Suppose 0 = p + 2*v - 48, -2*v + 5*v = -4*p + 167. Calculate the remainder when p is divided by 23.
15
Let m(i) be the second derivative of -i - 1/20*i**5 - 1/3*i**3 + 0 + 1/2*i**2 + 1/12*i**4. Calculate the remainder when m(-2) is divided by 6.
5
Let x(m) = 3*m - 15. Calculate the remainder when x(15) is divided by 10.
0
Let a(k) = 2*k**2 + 5*k - 5*k + 8*k - 6. Suppose b + 1 = 0, -4*d = -15*b + 13*b - 22. What is the remainder when a(-6) is divided by d?
3
Let u(i) = -i - 3 + 5*i + 4. What is the remainder when u(3) is divided by 8 + (-5)/5 - 2?
3
Suppose 0 = 2*d - 3*h - 28, d + h + 16 = 2*d. Suppose -495 = -2*i - 3*i. Suppose 91 = 5*x - i. What is the remainder when x is divided by d?
18
Let q(z) = -2*z - 7. What is the remainder when 54 is divided by q(-9)?
10
Suppose 5*d - 4*d - 52 = 0. What is the remainder when d is divided by 19?
14
Suppose 26 = h + 3*s, -4*h - 68 = -7*h - 4*s. Calculate the remainder when 97 is divided by h.
17
Let g(t) = t**3 - 4*t**2 - 3*t + 5. Suppose 0 = -s - s + 5*v - 10, 2*s - 4*v + 6 = 0. What is the remainder when g(s) is divided by 9?
6
Let m(s) = -1 + 2 - 4*s - 3*s. Calculate the remainder when m(-6) is divided by 15.
13
What is the remainder when 20 is divided by (-90)/(-8) + 9/(-36)?
9
Suppose 3*d + 2*f - 227 = -2*d, 39 = d + 2*f. Calculate the remainder when d is divided by 16.
15
Let l be (-8)/(-44) + (-62)/(-22). Let n be 164/6 - l/9. Suppose n = 5*o - 2*o. Calculate the remainder when 17 is divided by o.
8
Suppose 5*s - 11 = 9. Let x = 16 - s. Calculate the remainder when 35 is divided by x.
11
Let b(p) be the second derivative of -5*p**3/6 - 3*p. Let u = 1 - -2. Calculate the remainder when b(-1) is divided by u.
2
Suppose -10 = -5*v, v + 3 - 47 = -3*l. Let u(z) = -z**2 + 11*z + 5. Suppose 0 = h - 8 - 3. What is the remainder when l is divided by u(h)?
4
Let v be (-6)/8 - (-249)/12. Let p be (-16)/(-10) + 8/v. Calculate the remainder when 3/p*4/3 is divided by 1.
0
Suppose 4*m - 3*b - 81 = 0, -2*b - 51 = -3*m - 3*b. What is the remainder when 88 is divided by m?
16
Suppose -2*w + w - 3*f + 72 = 0, -303 = -5*w + 4*f. Suppose 3*d + 3*n - w = 0, -5*d = -2*n - 0*n - 119. What is the remainder when 67 is divided by d?
21
Suppose -3*d + 7 = -4*h + 3*h, 4*h + 5*d = 6. Suppose 5 = -7*a + 2*a. Calculate the remainder when 44 is divided by 1*h*15/a.
14
Let a(f) = -f + 4*f + 3*f + 3 - 5*f. Suppose 0 = -3*s + 2*k + 27, 4*s - 14 = -k + 22. What is the remainder when s is divided by a(3)?
3
Let y(n) = -n**3 - 5*n**2 + 4. Let s be y(-5). Suppose -s*o = -2*o - 4. What is the remainder when 4/(-10)*(-6 + 1) is divided by o?
0
Let i(o) = o**2 - o + 19. Suppose 2*j = 4*j. Suppose 0 = h - j*h - 7. Calculate the remainder when i(0) is divided by h.
5
Let h(o) = -o**3 + 10*o**2 + o - 14. Let i be h(10). Let p = -36 + 62. Calculate the remainder when p is divided by 1 + ((-2)/(-1) - i).
5
Let f(n) = -26*n**3. Let t = 2 - 0. What is the remainder when f(-1) is divided by -1 + t + -2 + 10?
8
Calculate the remainder when 72 is divided by 25 + 0/((-6)/(-3)).
22
Let k = -18 + -18. Let n = k + 61. Let t(a) = -a**2 + 8*a + 7. What is the remainder when n is divided by t(7)?
11
Let v(a) = -2*a**3 - 4*a**2 + a - 16. Calculate the remainder when v(-4) is divided by 17.
10
What is the remainder when 8 is divided by ((-21)/28)/((-2 + 1)/8)?
2
Let p = 25 + -24. Let f = p - -25. Calculate the remainder when f is divided by 10.
6
Suppose 3*m - 79 = -2*c - 2*m, c + 3*m - 40 = 0. Calculate the remainder when c is divided by 3*1/(-3) - -11.
7
Suppose 5*j - 13*w + 9*w = 206, -4*w = -3*j + 122. Let s(q) = q**2 + 4*q - 2. Let l be s(-4). Calculate the remainder when j is divided by ((-2)/(l/11))/1.
9
Let s = 7 + -2. Calculate the remainder when s is divided by 12/10*(-10)/(-3).
1
Suppose 2*b - 3 - 3 = 0. Suppose 2*a - 8 - 4 = 0. Suppose 2*z + 4*n = 8, 2*n + 12 = 4*z + a*n. Calculate the remainder when b is divided by z.
1
Suppose -3*h = 2*h. Suppose 2*z - 7 + 1 = 0. Let r = z + h. Calculate the remainder when 4 is divided by r.
1
Let k = 8 + 0. Let a(n) = 2*n + 33. Calculate the remainder when a(-10) is divided by k.
5
Let z(p) = p**3 + 6*p**2 + 5*p. Let q be z(-5). Suppose -d - 29 = -l, l + q*l + 4*d = 4. What is the remainder when 95 is divided by l?
23
Suppose -3*m = -6 - 21. What is the remainder when 12 is divided by m?
3
Let o be 446/18 + 4/18. Suppose 3*j = -2*j + o. Let r = 23 + -15. What is the remainder when r is divided by j?
3
Let t(r) = -r + 1. Calculate the remainder when 9 is divided by t(-5).
3
Let m be ((-1)/(-2))/((-2)/(-40)). Suppose -f = f - m. Suppose 6 + 4 = 3*o - t, -t = -f*o + 16. What is the remainder when 5 is divided by o?
2
Let l = -77 - -149. Calculate the remainder when l is divided by 19.
15
Suppose -188 = -4*h - 2*w, 2*w = 4*h - 161 - 19. Suppose 33 = 3*a - 3. Calculate the remainder when h is divided by a.
10
Let t = 14 - -22. Calculate the remainder when t is divided by 5.
1
Let k = -39 + 58. Let z = -21 - -35. Let o = z - -41. Calculate the remainder when o is divided by k.
17
Let q(j) = -j**2 + 13*j + 4. What is the remainder when 17 is divided by q(13)?
1
Suppose -s - 87 = -4*s. What is the remainder when 84 is divided by s?
26
Suppose -7*i + 60 + 59 = 0. Let y be (2/(-3))/(1/(-3)). Suppose y*g + 3*x = -g + 33, -4*x = -3*g - 2. Calculate the remainder when i is divided by g.
5
Suppose 2*z - 62 = -4*p, -3*p = 2*z - 33 - 11. Calculate the remainder when 69 is divided by p.
15
Let p be (15/(-6))/((-1)/2). Let a = -49 - -71. Calculate the remainder when a is divided by (2/p)/(5/150).
10
Suppose -6*z = -4*z - 70. Calculate the remainder when z is divided by 12.
11
Suppose 620 = 10*a - 150. Calculate the remainder when a is divided by 26.
25
Calculate the remainder when (-13)/(-13) - -1*88 is divided by 45.
44
Let x(u) = u**2 + 10*u + 5. Let m(o) = o**2 + o + 1. Let i(z) = 3*m(z) - x(z). Let b = -16 + 21. Calculate the remainder when i(b) is divided by 5.
3
Suppose 80 = 2*z + 2*z. Suppose -5*n = 3*l - 17, -2*l + z = 5*n + 2. Calculate the remainder when n is divided by 3.
1
Let n(u) = 10*u**2 + 3*u + 1. Let o be 8 + (-2)/((-8)/12). Suppose -25 = -3*c + o. What is the remainder when n(-2) is divided by c?
11
Let s(w) = 5*w - 7. Calculate the remainder when 103 is divided by s(5).
13
Let r = -44 - -45. Calculate the remainder when 2 is divided by r.
0
Suppose -11*r + 6*r = -365. Let m = -1 - -20. Calculate the remainder when r is divided by m.
16
Suppose 3*f + 2*f + 3*k + 141 = 0, 0 = -4*f + 5*k - 135. Let q = f + 69. What is the remainder when q is divided by 14?
11
Suppose -2*h + 4*n = -74, h + 36 = 2*h - 3*n. Let j = h - 28. What is the remainder when 19 is divided by -1 - -2 - (5 - j)?
5
Suppose -31*a + 29*a + 266 = 0. What is the remainder when a is divided by 45?
43
Let y(b) = -4*b - 7. Let u(w) = 6*w - 43. What is the remainder when y(-6) is divided by u(8)?
2
Let p(n) = -n**3