 o(a) = -a - 4. Let q be 1 + 1/((-2)/20). Calculate the remainder when 1/3 - 41/(-3) is divided by o(q).
4
Suppose b = 2*s + 41, -4*b = 3*s + s - 176. What is the remainder when b is divided by 16?
11
Let n(o) = 4*o + 84. What is the remainder when n(18) is divided by 20?
16
Let b(s) be the second derivative of -s**5/10 - s**2 - s. What is the remainder when 41 is divided by b(-2)?
13
Suppose -46 = -3*o + 2*h - 6*h, -32 = -2*o - 2*h. Let q = -6 + o. Calculate the remainder when 45 is divided by q.
9
Let i(h) = h**3 - 3*h**2 - 7*h + 3. Let r(g) = g**3 + 15*g**2 - 17*g - 11. Let v be r(-16). Calculate the remainder when i(v) is divided by 7.
4
Suppose 5*w - 8*w = -39. What is the remainder when 45 is divided by w?
6
Let b = 21 + -19. What is the remainder when 6 is divided by b?
0
Let n(b) = b**3 + 9*b**2 - 14*b + 5. What is the remainder when n(-9) is divided by 47?
37
Let i = 89 - 19. Suppose 4*v = -v + i. What is the remainder when v is divided by 8?
6
Let m(t) be the second derivative of t**5/10 - t**4/4 + t**3/3 - 2*t**2 - 2*t. Calculate the remainder when m(3) is divided by 8.
5
Suppose 0*s - 3*t = -3*s + 12, 5*s + 4*t = 2. Suppose -s*m = -m + 6. Let z = 13 + m. Calculate the remainder when 12 is divided by z.
5
Suppose u - 5*v = -0*u - 11, 0 = 3*u - v - 23. Calculate the remainder when 15 is divided by u.
6
Suppose 2*p + 2*p = 52. Calculate the remainder when 64 is divided by p.
12
Suppose -x = 2*y - 35, -x + 4*y + 6 = -5. What is the remainder when 46 is divided by x?
19
Suppose 5*t = -4*b + 69, 2*b + 27 = -3*t + 68. Calculate the remainder when 21 is divided by t.
8
Let w(c) be the first derivative of -c**4/4 - c**2/2 + 21*c - 2. Calculate the remainder when w(0) is divided by 6.
3
Let c(o) = -o**3 + 5*o**2 + 7*o - 1. Suppose -h - 2 = 1. Let u(v) = 2*v**2 + 5*v + 3. Let j be u(h). Calculate the remainder when 13 is divided by c(j).
3
Let q = -228 + 320. What is the remainder when q is divided by 16?
12
Calculate the remainder when ((-660)/18)/((-4)/6) is divided by 29.
26
Suppose -4*f + 10 = -14. Let r(d) = 2 - 1 - 4 + d**2 - 5*d. What is the remainder when 4 is divided by r(f)?
1
Suppose 4*s - 44 = -0. Suppose -3*j + s = -49. Let q(x) = 3*x**2 - 6*x - 6. What is the remainder when q(5) is divided by j?
19
What is the remainder when (-7)/(-14) + 146/4 is divided by 10?
7
Suppose -2*p + 3*t - 15 = -3*p, 5*p = -4*t + 64. Calculate the remainder when 46 is divided by p.
10
Suppose 0*r = -2*r + 4. Suppose 0 = -r*c - 2*c + 40. Let n = c - 6. What is the remainder when 7 is divided by n?
3
Suppose -o = -1 - 12. Let a = o + -9. Suppose -25 = -3*m + 3*t - 4, -5*m - a*t + 44 = 0. What is the remainder when 23 is divided by m?
7
Let y = 1 + -1. Let z be ((-6)/4 - -2)*y. Suppose z*q = 2*q - 4. Calculate the remainder when 4 is divided by q.
0
Suppose -14 = -2*c - 4*u, -3*u = 2*c - 6*c + 72. Let k = c - 2. What is the remainder when 50 is divided by k?
11
Let p = -70 - -154. What is the remainder when p is divided by 22?
18
Let w(a) be the second derivative of a**4/12 + 5*a**3/6 + a**2/2 - a. Let l be w(-6). Suppose -q + 6 + l = 0. Calculate the remainder when q is divided by 4.
1
Let t(m) = -m**3 + 8*m**2 - 8*m - 4. Calculate the remainder when 59 is divided by t(6).
19
Suppose -2*j = j - 75. Calculate the remainder when j is divided by -15*(-1 - -4)/(-3) - 2.
12
Let p = -8 + -2. Let s = 14 + p. Calculate the remainder when (28/3)/(14/21) is divided by s.
2
Let y = 94 - 71. What is the remainder when y is divided by 5?
3
Let y(h) = 5*h**2 + 2*h + 6. What is the remainder when y(-2) is divided by 13?
9
Let p = 38 - 24. Calculate the remainder when 23 is divided by p.
9
Suppose 4*o = 5*s + 153, -5*o = 3*s - 227 + 45. Let i(g) = g**3 - 7*g**2 - 6*g - 3. Suppose 5 = -5*n + 45. What is the remainder when o is divided by i(n)?
11
Let d(g) = g**2 - 10*g + 14. What is the remainder when 99 is divided by d(11)?
24
Let q = -13 - -22. Suppose -11 = 6*r - 215. What is the remainder when r is divided by q?
7
Suppose 0 = 2*w - 4*w + 2*q, w + 3*q = 20. Let z(f) = -9*f - 13. Calculate the remainder when z(-3) is divided by w.
4
Let j(x) = x + 6 + 7 - 6*x + 3*x. What is the remainder when 1 is divided by j(6)?
0
Suppose -v = -0*v. Suppose 26 = c + 3*z - 11, v = 3*c - 3*z - 51. What is the remainder when c is divided by 2 + 9 + (-3)/(-3)?
10
Let t = -6 + 13. Calculate the remainder when 3/(-2)*40/(-3) is divided by t.
6
Suppose -3*u = -3*w + 30, w - u + 80 = 6*w. Suppose 5*h = 4*h. Suppose -8 + h = -y. What is the remainder when w is divided by y?
7
Let h(d) = d**2 + 4*d - 4. Let i(m) = m**3 - 2*m - 1. Let b be i(2). Let q = b - 10. What is the remainder when h(q) is divided by 9?
8
Suppose -b - 6 = -23. What is the remainder when 49 is divided by b?
15
Suppose 4*y = 3*j - 36, -j + y - 21 = -4*j. Calculate the remainder when 14 is divided by j.
6
Suppose 3*s = -4*g + 61, -13 = -5*s + 4*g + 46. Let t = -88 + 98. Calculate the remainder when s is divided by t.
5
Suppose 5*s - 40 = -5*j, 5*j - 3 - 24 = -4*s. Calculate the remainder when s is divided by 6.
1
Calculate the remainder when 3/(-6) - 141/(-6) is divided by 13.
10
Let m(p) be the third derivative of p**5/60 - p**4/12 + p**3/2 - 4*p**2. Calculate the remainder when m(4) is divided by (1*-1)/(3/(-12)).
3
Let s = 1 - -14. Let d = s - 9. Calculate the remainder when 10 is divided by d.
4
Let j = 24 + -7. What is the remainder when (-4)/10*2 + (-747)/(-15) is divided by j?
15
Suppose 0 = 2*g - 356 - 10. What is the remainder when g is divided by 23?
22
Suppose 4*s = -3*m + 13, 0*s - 2*s + 9 = m. What is the remainder when 32 is divided by s?
4
Suppose 0 = -2*m + 3*v + 20, 2*m + v - 7 = -3. Suppose m*n + 0*n - 24 = 0. Suppose n*x = 3*x + 15. What is the remainder when 9 is divided by x?
4
Suppose -5*d + 3*d = -154. Calculate the remainder when d is divided by (2 - 0)*(13 + -3).
17
Let b be 2/(-3) - (-282)/18. Suppose 0 = 4*i - 1 - b. Suppose -x - i*x = -2*q + 52, 0 = 5*q - x - 84. Calculate the remainder when q is divided by 6.
4
Let c be (-2)/2*3/(-3). Let q(d) = 53*d + 1. Calculate the remainder when q(c) is divided by 14.
12
Suppose -2*f = 4*f - 24. Suppose 2*h = -6 - 4, j - 3*h = 29. What is the remainder when j is divided by f?
2
Calculate the remainder when ((-14)/(-4) + -3)*146 is divided by 19.
16
Let v(c) = c - 4. Let z be v(7). Suppose 5*b - 33 = -z. Calculate the remainder when b is divided by (4/10)/((-2)/(-20)).
2
Suppose -48 = -b - 4*q, -57 = 4*b - 5*b + 5*q. What is the remainder when b is divided by 18?
16
Let n(x) = -3*x**3 - 3*x**2 + 11. Let k(f) = f**3 - f**2 - 1. Let t(d) = 4*k(d) + n(d). Calculate the remainder when 17 is divided by t(7).
3
Let c(t) = -6 - 7*t + 4 + 1. Suppose -4*x = -x - 15, -5*x + 22 = f. Calculate the remainder when c(f) is divided by 11.
9
Let v = -16 - -18. What is the remainder when 1 + 0 + 3/1 is divided by v?
0
Let d = 44 - 32. Calculate the remainder when 69 is divided by d.
9
Let c(j) = -2*j**2 - 29*j + 18. Suppose 0 = -4*l + 8 - 0. What is the remainder when c(-15) is divided by l?
1
Let h(j) = -13 + 3*j + 5*j - 2*j - 4*j. Calculate the remainder when h(11) is divided by 6.
3
Suppose p - 5*p = -60. Calculate the remainder when 54 is divided by p.
9
Calculate the remainder when 42 is divided by 12/15*5 - 0.
2
Suppose -5*j + 205 - 4 = 3*z, 2*j + 335 = 5*z. Calculate the remainder when z is divided by 17.
16
What is the remainder when (-139)/(-5) + (-5)/(-25) is divided by 4/(-14) - (-214)/14?
13
Calculate the remainder when 25 is divided by ((1*-9)/1)/(12 - 13).
7
Let z(u) = u**2 - 6*u - 6. Let n be z(6). Let t = -28 - -33. What is the remainder when 192/14 + n/(-21) is divided by t?
4
Let b = 44 + -20. What is the remainder when 44 is divided by b?
20
Suppose -y + 192 = 3*y. What is the remainder when y is divided by 17?
14
Let b(h) = -2*h**3 - 5*h**2 - 5*h - 1. Suppose 0 = 4*j + 6 - 74. Calculate the remainder when b(-4) is divided by j.
16
Suppose -2*m = -5*h - 13 - 12, 0 = 5*m + 4*h - 79. Calculate the remainder when 43 is divided by m.
13
Let b(i) = 4*i**2 + 2*i - 1. Let p be (-4)/(-6) + 340/(-6). Let t = -36 - p. What is the remainder when t is divided by b(-2)?
9
Suppose 5*j + 1 + 9 = 0. Let r(t) = -2*t. Calculate the remainder when 9 is divided by r(j).
1