What is the remainder when 2/(-1) - (-29 - x) is divided by 12?
9
Suppose -14*g + 792 = -3*g. Calculate the remainder when g is divided by 19.
15
Calculate the remainder when (-26)/(1 - (-1 - -3)) is divided by 14.
12
Let u(l) = -l**2 + 16*l - 12. Calculate the remainder when 105 is divided by u(12).
33
Suppose 0 = -11*n + 8*n + 183. Suppose 2 = -2*y + 44. Calculate the remainder when n is divided by y.
19
Suppose -f + 3*s = -27, 64 + 25 = 3*f - 5*s. Suppose -f = g - 4*g. Let h = -48 + 78. What is the remainder when h is divided by g?
8
Suppose 114*k - 116*k = -132. What is the remainder when k is divided by 14?
10
Suppose -12*m + 187 = -5. What is the remainder when (-2*94/4)/(-1) is divided by m?
15
Let q = 2 - 0. Suppose -q*h - h = w - 17, -2*h = 5*w - 33. Suppose 0 = 3*k, -3*y - 2*y + 2*k + 15 = 0. What is the remainder when w is divided by y?
2
Suppose -5*g = 3*q - 117, -2*q - 2*q + 5*g + 156 = 0. What is the remainder when q is divided by 2 - (0 + 3 + -4) - -11?
11
Let f(k) = k**2 - 4*k - 1. Suppose -3*c + 37 = 2*t, 5*c + 7 + 18 = t. What is the remainder when t is divided by f(6)?
9
Let n = 16 - 9. Let l(p) = -p**2 - 7*p + 1. Let z be l(-6). Suppose 4*s - a - 78 + z = 0, -2*a = -10. What is the remainder when s is divided by n?
5
Suppose x = -o - 2*x + 2, 3*o + 3*x = 6. Suppose -3*v + 4*p = -22, v - p - 2 = o*v. Calculate the remainder when 20 is divided by (-4)/v - (-2 - 11).
9
Let t(d) = 8*d - 91. What is the remainder when t(15) is divided by 15?
14
Let c be 8*1 - (-3 - -1). Let q = -7 + c. Suppose -50 = -5*t + q*s, t - 4*s - 30 = -2*t. What is the remainder when 29 is divided by t?
9
Let x be (2 - 2)/1 + 40. Suppose -3*g + x = 2*g. What is the remainder when 22 is divided by g?
6
Suppose 4*l - 2*k = -k + 199, 89 = 2*l + 3*k. Calculate the remainder when l is divided by 17.
15
Let t(m) = m**3 - 3 + m - 1 - m**3 - m**3 + 6*m**2. Let s(f) = f - 5. Calculate the remainder when t(6) is divided by s(7).
0
Calculate the remainder when 321/11 + (-4)/22 is divided by 15.
14
Let g be ((-1)/(-2))/(2/100). Suppose 3*v - 33 = -h, 2*h - h + v = g. Calculate the remainder when h is divided by 8.
5
Suppose 2*u - 4*o + 52 = -2*u, o + 26 = -2*u. Let p(y) = -2*y - 8. What is the remainder when 33 is divided by p(u)?
15
Let b = 21 - 15. Calculate the remainder when b is divided by ((-12)/15)/((-9)/45).
2
Let i(v) = -v**2 + 1. Let m be i(2). Let x(u) = -u**2 - 1. Let d be x(m). What is the remainder when (-294)/d + 4/(-10) is divided by 10?
9
Let h(d) = 8*d - 15. What is the remainder when 65 is divided by h(6)?
32
Suppose -c + 0*c = -2. Calculate the remainder when (0 - 720/(-33)) + 4/22 is divided by (-3)/((-3)/14) - c.
10
Suppose -4*h + a = -a - 62, -4*h + 65 = -3*a. Let b be 1*h*(-2)/(-4). Suppose -3*i - 40 = -b*i. What is the remainder when 29 is divided by i?
9
Let b(u) = u**3 - 6*u**2 - 12*u + 12. Calculate the remainder when b(8) is divided by 15.
14
Suppose -p - 100 = -4*a - 2*p, -2*a = -2*p - 40. Calculate the remainder when -1*(0 + 1)*(-1 - 44) is divided by a.
21
Let a = 79 - 61. What is the remainder when a is divided by 5?
3
Let f = 10 - 7. Suppose -f*n - 3*y = 0, 0*y - 25 = -3*n + 2*y. What is the remainder when 14 is divided by n?
4
Let f be 136/((-2)/(-1)) + 2. Suppose -3*n = -n - f. Calculate the remainder when n is divided by (-6)/(-15) + (-58)/(-5).
11
Let z = -23 - -25. Suppose 132 = 5*s - z*g, 2*s - 21 = s - 5*g. What is the remainder when s is divided by 7?
5
Calculate the remainder when (0 + 52/10)/((-4)/(-10)) is divided by 12.
1
Suppose 3*x = -x + 72. Calculate the remainder when 35 is divided by x.
17
Suppose -h - 2 = 1. Calculate the remainder when 59 is divided by ((-1)/h)/(2/90).
14
Suppose 13 = -2*u + 51. Calculate the remainder when u is divided by 11.
8
What is the remainder when (6/(-18))/(3/(-459)) is divided by 27?
24
Let g(f) = f + 5. Let z be g(-7). Calculate the remainder when (-24)/(-10) - (-2)/(-5) is divided by 3 + (-3 - z) - 1.
0
Suppose 0 = -m - i + 12 - 4, -4*m - i + 38 = 0. Suppose -4*u + z = 42 - 154, -5*z + 136 = 4*u. Calculate the remainder when u is divided by m.
9
Let z(f) = -f**3 - 4*f**2 + 8*f - 5. Let l be (-40)/7 + (-12)/42. Calculate the remainder when 56 is divided by z(l).
18
Let c be (-2)/4*(1 + -5). Suppose -t = 5*q - c*t + 63, -t - 28 = 2*q. Let y = -4 - q. Calculate the remainder when 25 is divided by y.
7
Suppose -4*x + 2*c = 2, -5*x - c - 1 = -3*c. Let q(f) be the second derivative of 5*f**3/2 + f. Calculate the remainder when 28 is divided by q(x).
13
Suppose 2*n - 67 + 17 = 0. What is the remainder when 122 is divided by n?
22
Calculate the remainder when (26 + (1 + 2)*-1)*1 is divided by 9.
5
Let a = -1 - -6. Suppose a*d = -3*z - 11, -z - 2 = z + 2*d. What is the remainder when z is divided by 2?
1
Let x = -8 - -24. Calculate the remainder when 28 is divided by x.
12
Let c(f) = -f - 2. Let l be c(-6). Suppose -l*q + 3*n + 71 - 10 = 0, -4*n - 77 = -5*q. Let i = -162 + 167. What is the remainder when q is divided by i?
3
Suppose 0 = -4*p + 2*p - 3*x + 30, 2*p = -2*x + 30. What is the remainder when 54 is divided by p?
9
Let s(c) = -c**2 - 10*c + 7. What is the remainder when s(-5) is divided by 18?
14
Suppose 5*d + 2*k - 51 - 80 = 0, 5*d = k + 122. What is the remainder when d is divided by 10?
5
Let u(h) = -h**3 - 4*h**2 - 2*h - 5. Let d be u(-4). Suppose f - 4*f = -d, -5*l - 5*f + 10 = 0. What is the remainder when 23 is divided by 22/(-4)*-2 + l?
11
Let n(s) = 4*s**2 - 7*s**3 + 2 + 3*s + 6*s**3 + 3. Calculate the remainder when 65 is divided by n(4).
14
Let u = -3 - -14. Suppose 0 = 4*p + 5*f - 44, 4*f - 3 = -2*p + 25. What is the remainder when u is divided by p?
5
Let d be (-61)/7 - 4/14. Let a(x) = x**2 + 7*x + 8. Suppose 0 = 4*n - 11 - 25. Calculate the remainder when a(d) is divided by n.
8
Suppose 0 = 5*r - 5*i - 315, 3*r - 3*i - 319 = -2*r. Let a = 101 - r. Calculate the remainder when a - 1/(-2 + 3) is divided by 12.
11
Suppose 0 = -3*c + 46 - 1. Suppose -120 = -2*r + 58. Let s = r - 45. Calculate the remainder when s is divided by c.
14
Let f(u) = u**2 + 5*u + 7. What is the remainder when 13 is divided by f(-5)?
6
Let m(h) = 7*h + 2. Calculate the remainder when m(5) is divided by 10.
7
Let o(r) = -r**2 + 7*r - 3. Let g be o(6). Suppose -g*y + 64 = y. Let u = 67 - 37. What is the remainder when u is divided by y?
14
Let p(h) = -h**3 + 11*h**2 + 11. What is the remainder when 21 is divided by p(11)?
10
Suppose -4*t + 5*t + 756 = c, -3024 = -4*c - 2*t. What is the remainder when c/70 + (-1)/(-5) is divided by 7?
4
Let v = 0 - -2. Suppose -4*a + 32 = 5*g + 5, 0 = v*a + 4*g - 18. Suppose -a = 4*u - 63. What is the remainder when 28 is divided by u?
13
Suppose -2*i - 4 = -30. Suppose -2*h - 1 = -5. Let a = h - -22. What is the remainder when a is divided by i?
11
Suppose 3*h - 51 = 4*s, -h = -4*h - 4*s + 27. What is the remainder when h is divided by 5?
3
Let a(g) = 0 - g - 3 - 2. Let p be a(-7). Suppose 1 + 3 = -p*w, -5*v = -2*w - 54. Calculate the remainder when 29 is divided by v.
9
Suppose 4*l = -c + 29 + 21, -3*l = -3*c - 30. Let h(n) = 3*n - 5. Calculate the remainder when l is divided by h(4).
5
What is the remainder when 5*9 + (5 - 8) is divided by 11?
9
Let g(o) be the third derivative of o**4/6 - o**3/6 - o**2. Let y = -81 - -109. Calculate the remainder when y is divided by g(4).
13
Suppose 2*r = 1 + 111. What is the remainder when r is divided by 675/35 - (-2)/(-7)?
18
Suppose 5*g + 30 = v - 55, 67 = v + 4*g. What is the remainder when v is divided by 19?
18
Suppose 0 = -2*f + 2*b + 58, 0*f + 56 = 2*f - b. What is the remainder when f is divided by 14?
13
Suppose 0 = -2*n + 34. Calculate the remainder when n is divided by 7.
3
Let g be 11/3 + 1/3. Let j(r) = -g*r + 5 + 11*r + r**2 + 4. What is the remainder when j(-8) is divided by 9?
8
Suppose -w + 117 - 349 = 2*k, 2*k + 220 = 2*w. What is the remainder when 54 is divided by k/(-4) - 7/14?
26
Let d = 5 - 9. What is the remainder when (-2)/(-12) + 1041/18 is divided by d/(-3)*(13 + 2)?
18
Let s = 3 - 1. Suppose -2*c + 2 = -2*p, -3*c = -0*c - s*p - 4. What is the remainder when 2 is divided by c?
0
Suppose 4*f + 6 + 6 = 0. Let d(y) be the third derivative of -y**6/120 - y**5/60 - y**3/6 - y**2. Calculate the remaind