 the remainder when x is divided by 27.
23
Let h = 4 - -1. Let b(y) = 6*y + 1. Let o(n) = -2*n - 4. Let d be o(-3). Calculate the remainder when b(d) is divided by h.
3
Let b = 3 - -1. Suppose -b*x - 45 + 113 = 0. Suppose -u + a = -3, u - 6 = -2*u + 4*a. Calculate the remainder when x is divided by u.
5
Let b(v) = 91*v + 13. Let x(f) = -15*f - 2. Let h(q) = 2*b(q) + 13*x(q). What is the remainder when 49 is divided by h(-1)?
10
Suppose -15 = -5*d, 0 = 5*a + 4*d - 2*d - 226. Let q = 14 + -8. Suppose -30 = 4*m - q*m. What is the remainder when a is divided by m?
14
Let y = -4 - -8. Let m = -68 + 74. Calculate the remainder when m is divided by y.
2
Suppose 4*x - 433 = -5*o, -2*x + 225 = 5*o - 204. Calculate the remainder when o is divided by 43.
42
Let l(i) = 8*i**2 - 6*i - 5. Let u(k) = k**3 + k**2. Let g(b) = -l(b) + u(b). What is the remainder when 12 is divided by g(6)?
2
Suppose h - 5*b - 27 = 0, 3*h - 2 = -5*b - 1. Let y = -3 + h. Let d(s) = s**2 + s. Calculate the remainder when d(y) is divided by 7.
6
Let p be -3 + (21*17)/3. Suppose -3*u - u = -p. Suppose -2*z + 6*z - 40 = 0. What is the remainder when u is divided by z?
9
Let j(g) be the second derivative of -g**5/20 - g**4/2 - 2*g**3/3 + 2*g. Suppose c = -0*c - 6. What is the remainder when j(c) is divided by 13?
11
Suppose 0 = -2*k + d + 7, -1 = k - d - 4*d. What is the remainder when 14 is divided by k?
2
Calculate the remainder when (118/3)/((-4)/(-6)) is divided by 30/(0 - 6/(-4)).
19
Calculate the remainder when (-6 - (-144)/20)/(1/5) is divided by 2.
0
Let p(h) = -8*h. Let a be p(-2). Let v = a + -2. Calculate the remainder when 27 is divided by v.
13
Suppose s - 6 = 31. What is the remainder when s is divided by 20?
17
Let a = -2 - -4. Suppose 3 = 2*g + 2*v + 1, 0 = -2*g - 4*v. Suppose 0 = -2*r - 4*h + 26, -2*h - 3*h + 31 = g*r. Calculate the remainder when r is divided by a.
1
Suppose 0 = -0*r + 4*r - 2*v - 280, 4*r - 300 = -3*v. What is the remainder when r is divided by 19?
15
Let r be (-5 + 1)/(-4) + 8. Let b(o) = -o + 1. What is the remainder when r + -10 - -4*3 is divided by b(-3)?
3
Let i(f) = f**2 + f - 1. Let y(h) = -h**2 - h + 1. Let v(j) = -4*i(j) - 5*y(j). What is the remainder when 86 is divided by v(5)?
28
Suppose -3*v - 5*n + 82 = -0*v, 0 = -5*n + 25. Calculate the remainder when v is divided by 4.
3
Let l(q) = 4*q + 1. Let d(j) = 3*j + 6. Let a be d(2). Calculate the remainder when l(a) is divided by 13.
10
Suppose 5*a - 36 = 3*a + 4*y, -3*a = 3*y - 81. What is the remainder when 70 is divided by a?
22
Suppose -61 = -n - 19. Suppose 4*p = 2*x - n, p + 4 = -0*p. Let i(m) = -m + 1. What is the remainder when x is divided by i(-6)?
6
Let y be 3/((-21)/(-12) - 1). Suppose 4*u + 2*i = 72, 7*u - y*i = 2*u + 116. What is the remainder when 39 is divided by u?
19
Let j be (-2)/9 - (-184)/18. Suppose -m = -3*m + j. What is the remainder when 53 is divided by m/5 + (1 - -25)?
26
Suppose -133 = 2*x + 4*v - 7*v, 2*x + 140 = -4*v. What is the remainder when 32 is divided by ((-13)/52)/(1/x)?
15
Suppose 3*i - 5*c + 4 = 0, -i - 6 = 3*c - 7*c. What is the remainder when ((-1)/i)/((-2)/36) is divided by ((-2)/(-5))/((-8)/50)*-2?
4
Suppose -5 + 0 = -5*y. Let v = 1 - y. Suppose -3*j = -v*j - 33. What is the remainder when 32 is divided by j?
10
Let i(c) = -c**2 + 2*c - c + 6*c + 4. What is the remainder when (-135)/(-12) - (-2)/(-8) is divided by i(7)?
3
Let s(o) be the second derivative of o**4/12 - 3*o**3/2 + 2*o**2 - 3*o. Let a be s(9). Let h = -1 + a. Calculate the remainder when 7 is divided by h.
1
Suppose -5*n = -0*f - 2*f + 129, n = 4*f - 267. What is the remainder when f is divided by 14?
11
Let v = -26 - -22. Let g(o) = -21*o + 1. Calculate the remainder when g(v) is divided by 22.
19
Suppose 0*k + 70 = 2*k. What is the remainder when k is divided by 9?
8
Suppose -2*s + 3*u + 7 = -15, 3*s + 5*u - 71 = 0. Let i = s + -11. What is the remainder when 10 is divided by i/((-1)/2*-3)?
2
Let t = 1 - -1. Suppose -m - 2 = -t*m. Let l = 0 + 2. Calculate the remainder when l is divided by m.
0
Suppose -4*j + 3*d = 3, -7 = j - 0*j - 2*d. Calculate the remainder when 6 is divided by j.
0
Calculate the remainder when (-45)/(-2) - 24/16 is divided by (2 - 15/2)*-2.
10
Suppose -10 = 3*f - 22. Suppose 0 = -f*z - 4*p + 148, 3*z - p - 123 = 2*p. What is the remainder when z is divided by 14?
11
Suppose -2*d - 128 = -p - 3*p, -5*p = -d - 154. What is the remainder when 89 is divided by p?
29
Suppose -2*q + 6 = q. Let s = -31 + 45. Let f = q + s. What is the remainder when f is divided by 9?
7
Let g = -55 + 61. What is the remainder when (-50)/(-6) - (-6)/9 is divided by g?
3
Let y(f) = -2 - 4*f + 1 + 0*f. What is the remainder when 10 is divided by y(-2)?
3
Let r = -8 + 10. Suppose r*g = -g + 45. Calculate the remainder when 66/5*g/6 is divided by 9.
6
Let w = -35 - -103. Suppose 25 = 3*i - w. Calculate the remainder when i is divided by 8.
7
Let d = 1 + -5. Let t = d - -24. Let s = -23 - -34. What is the remainder when t is divided by s?
9
Let y(b) = -b**2 - 9*b + 11. Let d be (15/6)/((-2)/(-4)). What is the remainder when y(-8) is divided by d/10*(13 + 1)?
5
Let d be (1/(-1))/(7/77). Let r(q) = q**2 + 12*q + 8. Let w be r(d). What is the remainder when 1/w - 553/(-21) is divided by 9?
8
Suppose 0 = -x + 6*x - 30. What is the remainder when 70 is divided by x?
4
Let v be 5/2*(-12)/(-6). Suppose z + z - 54 = v*j, z - 21 = j. Let t(x) = x**2 - 2*x - 6. What is the remainder when z is divided by t(5)?
8
Let s be 1 + 0 - (-43 - 0). Suppose -3 = -t + r + 3, s = 4*t + r. What is the remainder when 19 is divided by t?
9
Suppose -2*v = -5*v + 5*u + 23, -2*u - 32 = -5*v. Calculate the remainder when 22 is divided by v.
4
Suppose 2*z = 3*z - 5, 4*y + 3*z - 47 = 0. What is the remainder when 12 is divided by y?
4
Calculate the remainder when 29 is divided by 22*(4 - (-7)/(-2)).
7
Let h(s) = -14*s. Let t be h(-1). Let y = t + -9. Calculate the remainder when 7 is divided by y.
2
Let a(j) = 2*j + 5. Let u be a(-4). Let l = u - -6. What is the remainder when 7 is divided by l?
1
Suppose 85 = 5*w - i, 4*w = 5*i + 37 + 31. What is the remainder when 46 is divided by w?
12
Suppose 0 = -s + 2, 5*y + 5*s - 172 = 2*y. Suppose 15 - y = -3*t. Let i = t - 4. What is the remainder when 17 is divided by i?
8
Suppose 0 = -3*s + s + 24. Let k = 61 - 39. What is the remainder when k is divided by s?
10
Let z = -12 - -28. What is the remainder when 28 is divided by z?
12
Suppose t + 3*y = -12, t - 2*y = 4 + 9. Let b = t - -3. What is the remainder when 2*(129/b + 0) is divided by 15?
13
Suppose -4*x + 25 = -3*x - 5*s, -2*x + 3*s = -15. Let q(p) = p**3 + p**2 - p + 16. Let c(i) = 23*i + 1. What is the remainder when c(2) is divided by q(x)?
15
Let b(a) be the second derivative of 7*a**3/6 - 3*a. What is the remainder when (-3 - 2)*-4*1 is divided by b(1)?
6
Let r be (-5 - -1) + 0 + 1. Let p be 1 + -2 - 9/r. Suppose -5*q = -3*w + p*w + 7, 35 = 5*w + 5*q. Calculate the remainder when 13 is divided by w.
6
Calculate the remainder when 1/2 - 33/(-6) is divided by 2.
0
Let s = 15 - -5. Let y = -12 + 4. Let v = 50 - y. What is the remainder when v is divided by s?
18
Let s be (1 - (0 + 1))/(-1). Let l(f) = 7 - 2 - 2 + s - f. Calculate the remainder when 9 is divided by l(-3).
3
Let n = -29 + 74. Suppose -n = -4*j + 59. Let b(p) = -p**2 - 15*p - 4. What is the remainder when b(-6) is divided by j?
24
Suppose -1 = 4*u + 3, -2*p = 5*u - 47. Calculate the remainder when 31 is divided by p.
5
Suppose 0 = -o - 25 + 58. Calculate the remainder when o is divided by 9.
6
Let t = 2 - 2. Suppose -3*c = t, 3*n + c = n + 12. Let g(v) = v**2 + 4*v - 28. What is the remainder when g(-9) is divided by n?
5
Suppose 3*z = -4*m + 11, z = -3*z + m + 2. Calculate the remainder when z is divided by 1.
0
Suppose -5*k - 5*m - 165 = 0, 5*m + 32 = -3*k - 65. Let c = -16 - k. Calculate the remainder when 51 is divided by c.
15
Let k(n) = n + 1. Let u(t) = -12*t + 1. Let i(d) = -5*k(d) - u(d). What is the remainder when i(4) is divided by 2 + 0/(-3) + 10?
10
Suppose 20 = 4*x - 28. Calculate the remainder when 23 is divided by x.
11
Let j(q) = -55*q**3 + q**2 - 1. What is the remainder when j(-1) is divided by (-1)/((9/(-57))/3)?
17
Suppose 0 = 2*g