e 2*q - 39 = -q. Let w(y) = y**2 + y + 24. What is the remainder when w(0) is divided by q?
11
Let k = -14 + 24. Suppose -k = -2*u + u. Calculate the remainder when -3 - 0 - -1 - -21 is divided by u.
9
Let g be (-4)/14 - (-32)/14. Suppose 2*d - 2*f + 6*f = 22, -3 = -d + g*f. What is the remainder when 26 is divided by d?
5
Let h(o) = o**3 - 4*o**2 - 2*o - 6. Suppose -8*p = -5*p - 15. What is the remainder when 25 is divided by h(p)?
7
What is the remainder when 2*11 - 4/(-2 - 2) is divided by ((-8)/3)/(1/(-3))?
7
Suppose -5*w = 3*o - 47, 0*w + 3*w - 3 = 0. What is the remainder when 68 is divided by o?
12
Suppose -5*p + w = -w - 588, -3*w - 592 = -5*p. What is the remainder when p is divided by 15?
11
Let g = -39 - -60. Suppose 12 = 3*x - x. What is the remainder when g is divided by x?
3
Suppose 0 = 13*p - 18*p + 40. What is the remainder when 15 is divided by p?
7
Suppose -3*k + 12 = -k. Let o(d) = -d**3 + 5*d**2 + 8*d + 1. What is the remainder when 50 is divided by o(k)?
11
Let o(d) = -3*d + 1. Let m be o(-1). Suppose -a - 26 = -m*w, -4*a + 3*a - 32 = -5*w. Let q = w - 1. Calculate the remainder when 13 is divided by q.
3
Let z(q) = q**2 + 6. What is the remainder when z(4) is divided by 12?
10
Let m(y) = y**2 - 5*y - 4. Let c be m(6). Suppose -5*i - c*w = -108, 0 = 5*i - 5*w - 13 - 67. What is the remainder when 38 is divided by i?
18
What is the remainder when 67 is divided by ((-30)/2)/(-1) + -7 + 6?
11
Suppose 0 = r - 0 - 3. What is the remainder when (-1 + 22)*1/3 is divided by r?
1
Let s be (1 - (-1)/(-2))*4. Suppose s*d - 7*d + 85 = 0. Suppose -r + d = -20. What is the remainder when r is divided by 13?
11
Let z = 5 + 20. Calculate the remainder when 48 is divided by z.
23
Suppose -5*b - 25 = -5*q, 15 = 2*q + q + b. What is the remainder when 7 is divided by q?
2
Let s(l) = 3*l + 1. What is the remainder when s(2) is divided by 3?
1
Let f be (3/(-3) - 7)/(-2). Suppose 3*w = -3*q + f - 1, 2*w - 2 = -5*q. What is the remainder when 4 is divided by w?
0
Let c(n) = n**2 - 4*n + 3. Let b be 2*(-1 + 9/2). Suppose 3*g = 37 + 2. Calculate the remainder when c(b) is divided by g.
11
Let x(h) = 11*h - h**2 + h**3 - 2*h**3 + 8*h**2. Calculate the remainder when x(8) is divided by 9.
6
Let x(q) = 3*q**3 - 2*q**2 + 2*q + 2. Let m be x(-2). Let f = -7 - m. Calculate the remainder when 78 is divided by f.
24
Let t be 5/20 - (-33)/12. Suppose t*b - 5 - 25 = 0. Calculate the remainder when 29 is divided by b.
9
Suppose -6*v = -4*v - 34. What is the remainder when 65 is divided by v?
14
Suppose -5*f = 5*u - 88 + 8, 0 = 2*f - 3*u - 32. What is the remainder when f is divided by 10?
6
Let m = 148 - 103. Calculate the remainder when m is divided by ((-48)/20)/((-9)/60).
13
Suppose -v - 12 - 10 = -3*z, v + 5*z + 46 = 0. Let k = v - -44. Calculate the remainder when 25 is divided by k.
12
Let g be 11/1 + 1 + 2. Calculate the remainder when (-2)/(-4) + 287/g is divided by 11.
10
Let r(j) = -j + 11. Let t be r(4). Let b(a) = 30*a**2 + 2*a + 1. Let m be b(-1). Let g = m - t. Calculate the remainder when g is divided by 6.
4
Let i = -28 + 42. Suppose 45 - 18 = v. Calculate the remainder when v is divided by i.
13
Let r(m) = -m**3 - m**2 - m. Let y be r(0). Suppose -2*k + k + 6 = y. Suppose 77 = 4*x + 9. Calculate the remainder when x is divided by k.
5
Calculate the remainder when (808/10)/(54/(-15) - -4) is divided by 34.
32
Calculate the remainder when 40 is divided by (-233)/(-11) - (108/66)/9.
19
Let f(h) = -1 - 2*h + 2*h - 7*h + 3. What is the remainder when 44 is divided by f(-3)?
21
Let u = -36 + 51. What is the remainder when u is divided by 10?
5
Let j(v) be the first derivative of 1/4*v**4 - 5 + 4*v**2 - 2*v + 10/3*v**3. What is the remainder when 12 is divided by j(-9)?
5
Let o = 3 - -16. Calculate the remainder when o is divided by 4.
3
Let c = -21 - -35. Calculate the remainder when 35 is divided by c.
7
Suppose 0 = -4*y + 8 + 4. What is the remainder when 9 is divided by y?
0
Let f = -9 + 29. What is the remainder when f is divided by 7?
6
Let z(w) = w + 7. Let j be z(-5). Let b be (-2 - (-7)/j)*2. Suppose -x + 2*t + 19 = -b*t, 0 = 3*t + 3. What is the remainder when 54 is divided by x?
12
Let s = 15 - 6. Suppose 3*n - s = -0. Suppose -4*b = n*w - 45, 2*w + 0*w - 10 = -b. What is the remainder when 22 is divided by b?
10
Let d = -4 - -6. Suppose 0 = -5*v + 6*v + 2*c - 8, -22 = -3*v - 4*c. Calculate the remainder when v is divided by d.
0
Suppose -4*r + 2*v + 40 = v, 2*r - 42 = -5*v. Calculate the remainder when r is divided by 4.
3
Calculate the remainder when (-24 + 1)/((-3)/9) is divided by 36.
33
Let l(k) = k**3 - 13*k**2 + k - 14. Let c be l(13). Suppose 2*t + q = -2*q - 1, -1 = q. Calculate the remainder when c + t - (-14)/2 is divided by 3.
1
Let v = -11 - -18. Let n = 25 - 12. Calculate the remainder when n is divided by v.
6
Suppose 5*k = 2*o - 111, 5*o + 3*k + 0*k - 355 = 0. What is the remainder when o is divided by 18?
14
Calculate the remainder when 45 is divided by 1 + 104/10 - 45/(-75).
9
Let i be (-2 + 1)*2 + 15. Suppose i + 9 = 2*b. Calculate the remainder when 21 is divided by b.
10
Calculate the remainder when 15 is divided by (-9)/15*(-3)/(-2)*-10.
6
Let k = -40 + 64. Calculate the remainder when k is divided by ((-21)/6)/(2/(-4)).
3
Suppose 2*k - g = 285, -g + 0*g - 711 = -5*k. Calculate the remainder when k is divided by 36.
34
Suppose 3*b = 15, 4*s + b - 11 = 2*b. Let z(h) = -5 + 1 - s*h + 6*h + h**2. Calculate the remainder when z(-4) is divided by 2.
0
Let h = -31 + 61. Let w = 42 - h. Suppose 2*g = 46 + w. What is the remainder when g is divided by 10?
9
Let t(g) = -125*g + 70. Let a(c) = -9*c + 5. Let o(w) = -55*a(w) + 4*t(w). What is the remainder when o(-4) is divided by 7?
4
Let x = 52 - 132. Let k be 2/3 - x/(-12). What is the remainder when 16 is divided by (-3)/(9/k + 1)?
4
Let t be (-4 + 14)*1/(-2). Let y(u) = -u**3 - 5*u**2 - 2*u + 2. What is the remainder when 21 is divided by y(t)?
9
Suppose 5*u - t = 540, 2*u + 0*t - 223 = -t. What is the remainder when u is divided by 22?
21
Suppose -3 = 2*j - 13. Suppose -5*y = 0, j*a - 2*y = -7*y + 25. Calculate the remainder when a is divided by 2.
1
Calculate the remainder when 33 is divided by ((-16)/48)/(2/(-108)).
15
Let n(m) = -m**3 - 11*m**2 - 9*m + 19. What is the remainder when 22 is divided by n(-10)?
4
Let u(y) = y**3 - 2*y**2 + y + 4. Let r be u(3). Let w = 10 + r. What is the remainder when w is divided by 14?
12
Let h(n) = -23*n**3 + n**2 + n + 1. What is the remainder when (14/(-21))/((-1)/105) is divided by h(-1)?
22
Calculate the remainder when 25 is divided by 12/(-16) + 78/8.
7
Let m(o) = 3 + 9*o + 4 - 11*o - 10*o. What is the remainder when m(-6) is divided by 27?
25
Let p be 1 + 1 - (-6)/6. Let y(b) = -2 - 7*b - b**3 + 0*b**3 + 10*b**2 + 0*b**p. What is the remainder when y(9) is divided by 9?
7
Let j(u) = 3*u**2 + 1. What is the remainder when j(-3) is divided by 1/(-3)*5*-6?
8
Let c = 16 - 10. Let s = 2 + c. What is the remainder when 14 is divided by s?
6
Let x = -23 + 50. What is the remainder when x is divided by 14?
13
Let j be -1 - (0 + -87 + 0). Let g be (-51)/(-6)*(12 - 0). Suppose 0 = -4*t - 5*y + j, 3*y + g = 4*t - 0*y. What is the remainder when t is divided by 13?
11
Suppose -27 - 35 = -2*z. Let m(x) = -x**3 - 4*x**2 - 3*x - 1. Calculate the remainder when z is divided by m(-4).
9
Suppose -3*v + 8*v = 0. Suppose 2*z + v*z = -36. Let p = z + 27. What is the remainder when 25 is divided by p?
7
Suppose -4*t + 3*t + 11 = 0. Suppose 3*g + 2*z - 59 = 2*g, -5*g + 3*z + 256 = 0. What is the remainder when g is divided by t?
9
Suppose 20*p - 78 = 17*p. Calculate the remainder when 103 is divided by p.
25
Suppose 0 = 3*v - 5*v + 50. Suppose 3*l - v = -5*p, 2*p = 4*p - l - 10. Suppose -p - 51 = -4*g. What is the remainder when g is divided by 8?
6
Suppose -z - 2*g = -11, 5*z - 4*g - 54 - 43 = 0. Calculate the remainder when 66 is divided by z.
15
Suppose q - 64 = -20. Let a(k) be the first derivative of k**4/4 + 7*k**3/3 - 11*k**2/2 - k + 4. Calculate the remainder when q is divided by a(-8).
21
Let i(v) = -4 - v + 0*v - 7*v. Let n be 2/(-7) + (-19)/7. Calculate the remainder when i(n) is divided by 7.
6
Suppose 0 = -3*w - 2*i - 3*i + 48, 69 = 