he remainder when (u/(-8))/((-12)/(-48)) is divided by 23?
22
Suppose -3*d + 4*y - 2*y = -16, 5*d + 15 = -5*y. Suppose -4*f - 66 = -a - a, -d*f = 3*a - 139. What is the remainder when a is divided by 15?
13
Suppose -12*u + 6*u = -234. Let k = 43 - 29. Calculate the remainder when u is divided by k.
11
Let t be (-2)/6*-3*2. Let c be (-2 - -2)/(-1 + t). What is the remainder when 50 is divided by (53 - 1)/(c - -2)?
24
Let j(o) = o**2 - o + 3. Suppose -38*r = -46*r + 80. What is the remainder when r is divided by j(0)?
1
Let j(i) = -i**2 + 3 - 6*i + 2 + 1. Calculate the remainder when 16 is divided by j(-6).
4
Suppose -4*m - 3*p + 45 = 0, 0 = -2*m + 5*m - 4*p - 40. Suppose 5*d = m + 3. What is the remainder when d is divided by 2?
1
Let w(n) = n**3 + n. Let v be w(0). Suppose v = -4*a + 29 - 13. Suppose -27 = -2*i - 7. What is the remainder when i is divided by a?
2
Suppose -5*l + 320 + 25 = 0. What is the remainder when l is divided by 18?
15
Suppose -3*c + 19 = -26. Suppose 3*j - c = 0, -b + 0*j = 3*j - 75. Calculate the remainder when b is divided by 21.
18
Let c = -1 + 0. Let h(p) = -9*p**3 + p + 1. Calculate the remainder when 26 is divided by h(c).
8
Let g = -3 + -1. What is the remainder when 11 is divided by ((-14)/g)/(4/8)?
4
Suppose -u + 4 = -6. Suppose 285 = 8*g + 61. Calculate the remainder when g is divided by u.
8
Let t(i) = -i**2 + 4*i - 5. Let l be t(4). Let q = l + 14. Calculate the remainder when q is divided by 6.
3
Suppose -l = -26 - 1. What is the remainder when 98 is divided by l?
17
Suppose -a + 25 = 5*o - 81, 4*o = 5*a + 108. What is the remainder when (-3 + -1)/(2/(-32)) is divided by o?
20
Let b(w) = -w**2 - 7*w + 5. Calculate the remainder when 4*(4 - 27/(-4)) is divided by b(-6).
10
Let s(j) = 2*j**2 + 2*j. Let q be s(-2). Suppose -q*n = n + 170. What is the remainder when (2 + n)/(-2) + 1 is divided by 9?
8
Let a(x) = -x - 3. Let p = 2 - 2. Suppose k + p*k - 1 = 0. What is the remainder when a(-5) is divided by k?
0
Let o be (6 + -1)*(-24)/30. Let c(f) be the first derivative of f**4/4 + 5*f**3/3 + f**2/2 - 5*f - 1. Calculate the remainder when 19 is divided by c(o).
5
Suppose 9 = -3*w, -w = r - 2*w - 7. Suppose -r*m = -0*m - 4. What is the remainder when m is divided by 0 + -1 - (-6)/3?
0
Let y(n) = n - 5. Let c be y(7). Let z be c - (-2 - -2)/2. Suppose 32 = 6*w - z*w + 4*h, 4*h = 4. What is the remainder when 19 is divided by w?
5
Let a be 2*(0 + 1) + 19. Let g = a + 13. Calculate the remainder when g is divided by 18.
16
Let m = 15 - 15. Suppose -2*q = 3*u - 45, -24 = -3*u + 5*q - m*q. What is the remainder when 51 is divided by u?
12
Let x(v) = v + 7. What is the remainder when x(5) is divided by 7?
5
Let o(p) = -p - 11. Let u be o(-12). Let z = u - -39. What is the remainder when z is divided by 14?
12
Let p = 33 + -23. Let n(d) = -d**3 + 8*d**2 + 4*d - 5. What is the remainder when n(8) is divided by p?
7
Suppose 2*d = d + h + 176, 0 = -4*h - 12. Calculate the remainder when d is divided by 44.
41
Let a = 508 + -274. What is the remainder when a is divided by 59?
57
Suppose -6 - 11 = -k. Suppose y + 0*y - 5*n + 3 = 0, y + 5*n = k. Calculate the remainder when 13 is divided by y.
6
Let q(h) = 14*h + 12 - 4*h - 11*h. Let u be q(12). Suppose u*s - 5 = -s. What is the remainder when s is divided by 2?
1
Let j(p) = -p + 5. Let y be 5/4*(-6 - -10). Let a be j(y). Suppose 0 = -3*z + 15 - a. Calculate the remainder when 19 is divided by z.
4
Let a be (-232)/6 - 2/(-3). Let o = a - -53. What is the remainder when o is divided by 8?
7
Suppose -c + 4*c - 165 = 0. What is the remainder when 18 is divided by (-10)/c - (-79)/11?
4
Let y = -38 + 54. Calculate the remainder when 41 is divided by y.
9
Suppose 24 = -89*v + 93*v. What is the remainder when 12 is divided by v?
0
Let s(h) = -12*h - 4. What is the remainder when 94 is divided by s(-3)?
30
Let c = 15 - -8. What is the remainder when c is divided by 12?
11
Let d be (-34)/(-6) + (-4)/6. Suppose 114 = d*t - 36. Let s = -13 + t. Calculate the remainder when s is divided by 10.
7
Let a(u) = 0 + u + 1 - 10*u. What is the remainder when a(-3) is divided by (3 + -1)/((-2)/(-10))?
8
Let n(m) = 5*m**2 + 18 - m**2 - 5*m**2 - m. Let x be n(0). Suppose 7 = y - x. Calculate the remainder when y is divided by 9.
7
Let n(s) = 5*s - 5. Let t be n(4). Suppose -25 = -3*j - 7. Calculate the remainder when (-4)/10 - (-171)/t is divided by j.
5
Let s(c) = c**3 + 3*c**2 - 4*c + 5. Let f be s(-4). Suppose f*g = 2*u + 36, -u + 10 = 3*g - 16. What is the remainder when g is divided by 5?
3
Suppose -u - 1 = h + 11, -u + 1 = 0. Let p = h - -46. Calculate the remainder when p is divided by 17.
16
Let k(i) = 7*i**3 + 13*i**2 + 7*i + 5. Let y(a) = -4*a**3 - 7*a**2 - 4*a - 3. Let c(j) = -6*k(j) - 10*y(j). Calculate the remainder when 30 is divided by c(-4).
6
Suppose r - 4 = -4*h + 5*r, 2*h - 11 = -r. Let k(n) = 12*n + 1. Calculate the remainder when k(1) is divided by h.
1
Suppose c = -5*h, 44 = 4*c + 2*h - 4*h. Let p be 4/2*(5 + -28). Let n = p + 64. Calculate the remainder when n is divided by c.
8
Let m = -32 + 69. Calculate the remainder when 73 is divided by m.
36
Suppose 7*o - 3*o - 248 = 0. Calculate the remainder when o is divided by 21.
20
Suppose 4 = o - 8. What is the remainder when 35 is divided by o?
11
Suppose -2*f = 3*i, 0*i - 17 = -5*f + i. Suppose 56 = f*c + c. What is the remainder when 27 is divided by (-1 + -1)/(c/(-49))?
6
Suppose 0 - 2 = -n. Suppose -n*j + j + 5 = 0. Calculate the remainder when 14 is divided by j.
4
Let r(j) = j**3 + 4*j**2 + j + 9. Calculate the remainder when r(-4) is divided by 4.
1
Let c = -8 + 13. Let g = 22 + -4. What is the remainder when (g/(-3))/((-4)/6) is divided by c?
4
Suppose 4*p - 32 = 5*n, 7*n + 42 = 3*n - 5*p. Let x(u) = -u + 8. What is the remainder when 46 is divided by x(n)?
14
Let u = -28 - -14. Let w(l) = -l + 10. What is the remainder when w(8) is divided by 2/7 - 10/u?
0
Let z(c) = -7*c**3 + 2*c**2 + 2*c - 2. Let p(j) = -j. Let q be p(2). What is the remainder when z(q) is divided by 20?
18
Let r(z) = -z**2 + 16*z + 13. Calculate the remainder when r(15) is divided by 16.
12
Let j(b) = 3*b + 4. Calculate the remainder when 42 is divided by j(6).
20
What is the remainder when (-4)/(-4) - (-52 + 3) is divided by 19?
12
Suppose l = 4*k - 23, 5*k - 11 = 3*l + 23. Suppose 5*b + k*m - 33 = -233, -b = 4*m + 28. What is the remainder when 4/(-22) - 3088/b is divided by 24?
22
Let v = 35 + 0. Let t = v + -9. What is the remainder when 51 is divided by t?
25
Suppose -5*m = 4*s - 32, -2*m + 17 = -s + 3*m. Let x = s + 0. What is the remainder when 10 is divided by x?
1
Suppose g + 34 = 42. Calculate the remainder when 61 is divided by g.
5
Let s = -9 - -17. Suppose -p - a + 13 = 0, 81 = s*p - 3*p + a. What is the remainder when 31 is divided by p?
14
Suppose 4*h = -4*j + 20, 0 = -4*j - 0*h + h + 10. Suppose j*x + 0*x = 3. Calculate the remainder when -1 - (10 - x)*-3 is divided by 14.
12
Suppose 355 = 5*l - 385. Suppose 4*z + 4*n = 2*n + l, 2*n + 140 = 4*z. What is the remainder when z is divided by 13?
10
Suppose -8*r + 0 = -24. Suppose 5*u = -20 + 45. Calculate the remainder when u is divided by r.
2
Suppose 0 = 2*l + 2, -2*w = -4*l + 3 - 11. Let m(i) = -4 + 0*i**2 + 5*i + 3*i - i**w + i. What is the remainder when m(6) is divided by 5?
4
Let o(y) = -y**3 + 7*y**2 - 6*y - 4. Let u(b) = -4*b**3 - 2*b - 1. Calculate the remainder when o(3) is divided by u(-1).
4
Suppose 0 = -2*s + 3*s - 14. What is the remainder when 39 is divided by s?
11
Suppose 5*n = v + 25, 4*n + 5 = -4*v + 1. Suppose 0 = -r + 6*r - 10. Calculate the remainder when n is divided by r.
0
Let l(a) = -20*a**3 + 2*a + 1. What is the remainder when 1405/25 + (-2)/10 is divided by l(-1)?
18
Let m(d) = 13*d**2 + d + 1. Calculate the remainder when m(-1) is divided by 6.
1
Let i = 37 - 23. Let p = -23 - -62. Calculate the remainder when p is divided by i.
11
Suppose 60 = 5*n - 5*b, -2*n + b = -24 + 2. Let m(g) = 4*g**2 + 2*g - g**2 + 3 - g**2. What is the remainder when m(-4) is divided by n?
7
Let y be -5*(1/5 - -1). Suppose 0 = h - 0*h + 4*s - 14, -5*h + 3*s + 24 = 0. Calculate the remainder when -44*(3/y - 0) is divided by h.
4
Let r(m) = m**3 + 11*m**2 + 7*m - 5. What is the 