v) = -v**2 - 2*v - 22*v**3 - 1 + v + 2*v**2. What is the remainder when x(-1) is divided by o(-20)?
7
Let z(y) = -6*y**2 - y + 50. Let b(v) = 5*v**2 - 50. Let w(h) = -5*b(h) - 4*z(h). What is the remainder when w(0) is divided by 17?
16
Let g(s) = -s + 1. Let p be g(1). Suppose -2*a = -p*a - 8. Suppose 4*n = 12, -4*c + 23 = a*n - 205. What is the remainder when c is divided by 14?
12
Let x = 406 + -171. Calculate the remainder when x is divided by 34.
31
Let u(g) = -g - 1. Let w be u(7). What is the remainder when 41 is divided by -1*3 + (-136)/w?
13
Let i = -53 + 87. Suppose -5*v + 3*v + i = 0. What is the remainder when v is divided by (1*-1)/(112/40 - 3)?
2
Suppose 8*o = -23*o + 1178. What is the remainder when 148 is divided by o?
34
What is the remainder when 545 is divided by (2 + 4)/((-6)/(-110))?
105
Let v(g) = -g**3 + 4*g**2 - 10*g + 24. Let q(a) = a**2 + a - 1. Let f(o) = -2*q(o) - v(o). What is the remainder when f(7) is divided by 14?
13
Suppose -1094 = -2*t - 4*x, -2*x + 1136 - 3274 = -4*t. Calculate the remainder when t is divided by 45.
42
Let f = 108 + -16. Calculate the remainder when f is divided by 49.
43
Suppose 3*y = -y + 3*r + 14, -5*r = 5*y. Suppose 2*s = p - s + 10, 0 = y*s - 8. Calculate the remainder when (6/(-3))/(4/(-14)) is divided by p.
1
Let s(a) = -a + 200. Let k be s(0). Suppose 8*p + 2*p = k. Calculate the remainder when p is divided by 11.
9
Let l = 362 - 337. Let b(k) = k**2 + 4*k - 8. Suppose 3 = -o - 3. What is the remainder when l is divided by b(o)?
1
Suppose -5*h + 2676 = -154. Calculate the remainder when h is divided by 114.
110
Let y be 276/10 - 6/10. Let u = 40 - y. What is the remainder when 50 is divided by u?
11
Suppose 2*i + 5*j + 189 = 6*i, 4*j = 2*i - 102. Suppose 115 = 2*l + i. What is the remainder when l is divided by 10?
7
Let d be 3/(9/(-8))*(-135)/(-36). Let i = d - -27. What is the remainder when i is divided by 3?
2
Suppose 0 = -9*m - 18 + 153. Suppose -m*h + 19*h - 32 = 0. Let n(f) = -f**3 + 10*f**2 - 12*f + 1. What is the remainder when n(h) is divided by 12?
9
Let z(a) = -a - 1. Let h be 35/20 - (-4)/16. Suppose -34 = -5*g + h*u, g + 2*u + 0*u - 14 = 0. Calculate the remainder when g is divided by z(-4).
2
Let v = 918 + -899. Let i = 22 + -16. Calculate the remainder when v is divided by i.
1
Suppose 120*a = 35*a + 2040. What is the remainder when 475 is divided by a?
19
Let a = 84 + -136. Let r = 57 + a. What is the remainder when 11 is divided by r?
1
Suppose 0 = -2*m + 10, 5*f - f + m = -1547. Let b be f/12 - 6/9. Let x = b - -69. Calculate the remainder when x is divided by 13.
10
Let g = -33 - -114. What is the remainder when g is divided by 6?
3
Let p(v) be the second derivative of v**5/20 - 5*v**4/6 + 3*v**3/2 + 7*v**2/2 + 19*v. Calculate the remainder when 98/6 + 4/6 is divided by p(9).
3
Suppose -9*v + 133 - 7 = 0. Let l = 10 + -10. Suppose 37 = -l*b + b. What is the remainder when b is divided by v?
9
Let z = 728 + -541. Calculate the remainder when z is divided by 13.
5
Let s(o) = 38*o + 23. Let r be s(4). Suppose -r = -6*g - 37. Calculate the remainder when g is divided by 4.
3
Calculate the remainder when (84 - 394)*(-24)/15 is divided by 50.
46
Suppose 2 = 3*c - 22. Suppose 4*t = 3*t + c. Suppose -h = -t - 6. What is the remainder when h is divided by 3?
2
Let n be 9 + 7/(14/(-10)). Suppose -4*z + 241 = 2*a - 21, 0 = a + n*z - 133. What is the remainder when a is divided by 33?
30
Let m(w) = 4*w + 5*w**2 - 6*w**2 + 7 - 7. Let p be m(2). Calculate the remainder when 15 is divided by (3 + 12/(-8))*p.
3
Suppose -4*x + 118 = 2*s, s - 78 - 12 = -3*x. What is the remainder when 47 is divided by x?
16
Suppose 0 = -l + 3*l + 8, -4*l = -5*r + 56. Let c = 7 + -6. Let t(u) = 30*u. Calculate the remainder when t(c) is divided by r.
6
Let q(h) = 2*h + 1. Let j be q(1). Suppose -5*a + 75 = y, -2*y = 2*y - j*a - 369. Calculate the remainder when y is divided by 8/(-28) + (-424)/(-14) + 1.
28
Suppose 3 = -4*v + 7*v, -335 = -5*h - 5*v. What is the remainder when 855 is divided by h?
63
Let v(k) = -2*k - 3. Suppose -22*z + 2208 = 47*z. Calculate the remainder when z is divided by v(-6).
5
Let l(g) be the third derivative of 6*g**2 - 5/6*g**3 - 1/6*g**4 + 0 + 0*g. Calculate the remainder when l(-12) is divided by 22.
21
Suppose 0*h = -6*h + 450. Let q = -17 + -31. Let u = h + q. Calculate the remainder when u is divided by 14.
13
Suppose 4*x - 4 = -2*l, 7*l - 4*l - 4*x = 56. Let g = 0 - -2. Calculate the remainder when l is divided by (14 - (1 - 3))/g.
4
What is the remainder when 101 is divided by 12 + (-9 + 8 - -4)?
11
Suppose -7*a = f - 12*a - 20, 5*f - 13 = -4*a. Calculate the remainder when 43 is divided by f.
3
Suppose -5*d - 92 = -502. Suppose 5*l - 5*i = 110, l + 2*l + i = d. What is the remainder when l is divided by 140/21 - 1/(-3)?
5
Let v(n) = n**2 + 51*n + 23. Calculate the remainder when 90 is divided by v(0).
21
Suppose -2*w = -w. Let s be (-15 + 14)*w/2. Suppose s*x + 60 = 3*x. What is the remainder when x is divided by 8?
4
Calculate the remainder when ((-46)/(-4))/(2/4) is divided by 5/10*10/(-7)*-7.
3
Suppose 0 = -3*z + 1 + 332. What is the remainder when z is divided by (1/(-2))/(-6*4/912)?
16
Suppose -5*o = -j - 380, -3*j + 118 = 3*o - 92. What is the remainder when o is divided by 13?
10
Let j(b) = 12*b + 1. Suppose -2*t = 5*l - 262 + 23, 3*l + 4*t - 149 = 0. What is the remainder when l is divided by j(2)?
22
Let p = -23 + 29. Let y(r) = 9 + 81*r - 4 - 80*r. What is the remainder when 21 is divided by y(p)?
10
Suppose 4*c - 9*c = 3*y, 5*c - 5*y = 40. Suppose 0 = c*k + 6, -52 = -m - 3*m - 2*k. Calculate the remainder when 26 is divided by m.
12
Let k(q) be the second derivative of q**5/20 - q**3/6 + 27*q**2 - 2*q. Let t be (-4)/12*-3 + -1. What is the remainder when k(t) is divided by 28?
26
Suppose 3*l = 2*t + 89, 5*t = 3*l - 2*l - 47. What is the remainder when 214 is divided by l?
25
Let d(t) = t + 10. Let l(q) = q**2 - 47*q - 548. What is the remainder when l(-10) is divided by d(-5)?
2
Let n = -1697 + 1804. What is the remainder when n is divided by 13?
3
Suppose 21 = 5*z + 3*h, 0 = -4*z + 2*h + 3*h + 2. Suppose -79 - 71 = -2*x + 2*i, 0 = z*x - 5*i - 229. Calculate the remainder when x is divided by 19.
16
Let x(g) = 200*g**2 - 30*g - 32. Calculate the remainder when x(-1) is divided by 108.
90
Suppose h - 35 = -31. Calculate the remainder when (4/(-12))/(h/(-2028)) is divided by 34.
33
Suppose a - 2*a + 3 = 0. Suppose l + 8 = a*u, -3*u = -2*l + 2 - 6. Calculate the remainder when 18 is divided by u/1 + (-10)/(-10).
3
Suppose 458 = 32*a - 1238. What is the remainder when a is divided by (-34)/(-4) - 1/(-2)?
8
Let o(h) = h**2 + 32*h - 153. What is the remainder when 182 is divided by o(5)?
22
Let u(b) = -3*b + 45. What is the remainder when u(-32) is divided by 16?
13
Suppose -20 = -2*o + 2*p, 3*o = -2*o + 4*p + 54. Calculate the remainder when 61 is divided by o.
5
Let r(m) = -90*m + 7. What is the remainder when r(-1) is divided by 20?
17
Let p be (8 + -11 - -89)*(1 + 0). Let o = 126 - p. Calculate the remainder when 77 is divided by o.
37
Let w = -218 - -283. Calculate the remainder when w is divided by 55.
10
Let b(i) = i**2 + 10*i + 25. Let n be b(-9). Let m(h) = h**2 + 4*h - 13. Calculate the remainder when m(-9) is divided by 17/(4*4/n).
15
Suppose 0*y + 74 = 2*y + m, 4*m = -2*y + 80. What is the remainder when y is divided by 15?
6
Suppose 2*m + 380 = 4*u, 0*u + 3*m = 3*u - 279. Calculate the remainder when u is divided by (0 - 198/8)*(-44)/33.
31
Suppose -831 = -3*k - 198. Calculate the remainder when k is divided by 56.
43
Suppose 4*m + 3*z = 189, 0 = -2*m - m - 5*z + 150. Let r(v) = v**3 - 4*v**2 - 3*v + 6. What is the remainder when m is divided by r(5)?
13
Suppose -34*y + 168 = -30*y. What is the remainder when 2/(-8)*2*6 + y is divided by 9?
3
Let w = -149 - -22. Let b = w - -254. Calculate the remainder when b is divided by 32.
31
Let l = 663 - 403. Calculate the remainder when l is divided by 33.
29
Let g(f) = f**3 + 2*f**2 - 5*f + 3. Suppose -5*a - 17 = -27. Calculate the remainder when 28 is divided by g(a).
1
Let a(i) = -2*i - 1. Let z be a(-3). Suppose -z*k = -68 + 8. Let q(y) = -y**3 + 11*y**2 + 15*y - 5. What is the remainder when q(k)