((-1 + -2)/3) is divided by 12.
7
Let c be (-6)/2 - (-3 - 0). Suppose 0 = -c*p + 5*p. Let o = p + 6. What is the remainder when 21 is divided by o?
3
Suppose -9*u = -5*u + 4. Suppose 6*z - 2*z = 28. What is the remainder when z is divided by u/(-3) + 16/6?
1
Let k = 11 + -8. Suppose -2*m = k*m - 170. What is the remainder when m is divided by 9?
7
Let o(g) = 2*g - 3. Suppose 5 + 3 = 2*x. Suppose -x*v + 4 = -2*v. What is the remainder when v is divided by o(2)?
0
Let r(g) = g**2 + 2. Let b be r(0). Suppose k - 29 = 2*f + b*k, 5*k - 11 = 2*f. Let o = 71 + f. Calculate the remainder when o is divided by 20.
18
Let n(h) be the second derivative of -h**3/6 + 6*h**2 + h. Let u be n(0). Suppose -f = -2*f + u. Calculate the remainder when 21 is divided by f.
9
Suppose 0*f + f - 10 = 0. Let l(c) = -38*c**3 + 2*c**2 + 2*c + 1. What is the remainder when l(-1) is divided by f?
9
Suppose 0 = -2*i - 2*i + 8. Suppose 0 = k - i*w - 0*w + 6, -3*k - 8 = -w. What is the remainder when 23 is divided by 1*(-2)/(k/13)?
10
Suppose -6*c + 4*d = -2*c - 68, 0 = 4*d + 8. Calculate the remainder when c is divided by 9.
6
Let a be -1*(18 + 3) - 1. Let q be (-114)/(-22) + 4/a. Suppose 4*m - 41 = 3*s, 2*m + 3 = q*s + 20. Calculate the remainder when m is divided by 6.
5
Let l(c) = -c**2 + 38. What is the remainder when l(0) is divided by 13?
12
Suppose 3*q + r = 11, 5*q + 0*r + r - 17 = 0. Suppose 4*l - 3 = q*l. Calculate the remainder when 35 is divided by l/(-12) + 49/4.
11
Suppose -3*g - 11 = -2*b - 36, 2*b = 2. What is the remainder when (-822)/(-24) + (-2)/8 is divided by g?
7
Let m be 278/8*(-2 + -2). Let i = m - -229. Suppose -2*d = -2*a - 0*d + 36, 5*a + 3*d - i = 0. What is the remainder when 53 is divided by a?
17
Suppose p - 6*p + 175 = 0. Calculate the remainder when 6750/99 + 10/(-55) is divided by p.
33
Let h(b) = -b**3 + 10*b**2 + 3*b - 8. Let o(t) = t**2 + 6*t + 3. Let i be o(-7). Suppose 2*s = -3*s + 60. Calculate the remainder when h(i) is divided by s.
10
Suppose -126*q - 225 = -131*q. Calculate the remainder when 178 is divided by q.
43
Let i(k) = 3*k - 1. Let u(p) = -p. Let h(l) = 3*i(l) + 8*u(l). Let o be h(3). Suppose 4*b = -o*b + 44. What is the remainder when 31 is divided by b?
9
Suppose 5*j - 12 - 13 = 0. What is the remainder when j is divided by 1?
0
Suppose 31 = -4*a + 215. Suppose 4*x = 5*v, 5*v = -3*x - 11 + a. Calculate the remainder when x is divided by 4.
1
Suppose -23 = -4*g + 65. Suppose 0 = 5*d - t - g, d - 5*t - 22 = -2*d. Calculate the remainder when 7 is divided by d.
3
Suppose 37 = -9*o + 10*o. Let r = 107 + -69. Suppose 5*n - f - 13 = r, 5*n = -4*f + 46. What is the remainder when o is divided by n?
7
Suppose -b = -3*h + 16, -3*h - h - 4 = 5*b. Suppose 3*p - 133 = -h*i, -p = 4*p - 15. What is the remainder when i is divided by 15/2 - 2/(-4)?
7
Let y = 11 - -6. Let o(q) = -5*q**3 + q**2 + q + 1. Calculate the remainder when y is divided by o(-1).
5
Let n = 22 - 13. What is the remainder when n is divided by 3?
0
Let g = 81 - 23. Suppose 0*k = 2*k + 5*y - 55, 5*k - y = 97. Calculate the remainder when g is divided by k.
18
Let y = 15 - 15. Suppose -5*z + 36 = -3*d - 23, y = -5*z + 2*d + 56. Calculate the remainder when 37 is divided by z.
7
Let d(u) = 9*u**2 - u - 1. Let a be d(-1). Let g(v) = 2*v**2 - 10*v - 6. What is the remainder when g(a) is divided by 17?
15
Let y = 66 + -49. Suppose -32 + 8 = -4*z. What is the remainder when y is divided by z?
5
Let c(w) = -15*w + 22. Calculate the remainder when c(-11) is divided by 38.
35
Suppose -102 - 34 = -4*f. What is the remainder when 67 is divided by f?
33
Calculate the remainder when 202 + 1/(2/(-1) - -3) is divided by 17.
16
What is the remainder when (558/15)/(8/20) is divided by 24?
21
Suppose 0*d - d - z = 9, 54 = -4*d + 5*z. Let x = d + 13. Suppose 5*v = -w + 109, 3*v - x*w = -w + 59. Calculate the remainder when 61 is divided by v.
19
Let t(y) = -123*y + 5. Calculate the remainder when t(-2) is divided by 36.
35
Calculate the remainder when -2 + 5 + 354/6 is divided by 13.
10
Let y(f) = 2*f - 11. Let h(k) = 2*k - 10. Let b(z) = 5*h(z) - 4*y(z). Calculate the remainder when b(4) is divided by 1.
0
What is the remainder when 4 is divided by 26/(-39)*(-4)/((-16)/(-6))?
0
Suppose 5*p + 239 = 4*v, p = -4*v + 224 - 3. What is the remainder when v is divided by 19?
18
Suppose -5*i + 72 = -3*s, -9*i = -7*i - 4*s - 26. What is the remainder when i is divided by 6?
3
Let x = -1 - -3. Let d be -4 + (x + -1 - 2). Let g(m) = -m**3 - 3*m**2 + 5*m - 3. Calculate the remainder when g(d) is divided by 12.
10
Suppose 0 = 2*s - 2*g - 10, -s + 4*g = -0*s - 5. Calculate the remainder when s is divided by 3.
2
Suppose -17*g + 874 = 2*g. Suppose 2*p - 8 = -h, 2*h - 3*h = p - 4. Suppose -d + 27 = 2*x - 2, 5*x + p*d = 68. Calculate the remainder when g is divided by x.
14
Let u(r) = r**3 + 11*r**2 - 7*r + 8. Let b be u(-12). Calculate the remainder when (65/b)/((-1)/28) is divided by 19.
16
Let f = -4 + 9. Suppose -15 = -8*s + f*s. Calculate the remainder when 7 is divided by s.
2
Suppose -2*n + 12 - 4 = 0, 5*z - 31 = n. Let a(x) = x. Calculate the remainder when a(z) is divided by 3.
1
Suppose -8 = -2*r - 26. Let y = r + 16. Calculate the remainder when 422/22 - 4/22 is divided by y.
5
What is the remainder when 11 is divided by -7*(37/(-35) + 5/25)?
5
Suppose -4*v + 2*m + 158 = v, 2*v = 5*m + 59. What is the remainder when 61 is divided by v?
29
Let c(s) = 2*s - 1. Let i be c(2). Let u = i + 15. What is the remainder when 34 is divided by u?
16
Let f(h) = -h**3 + 6*h**2 - 6*h + 1. What is the remainder when 33 is divided by f(4)?
6
Let b = 1191 + -711. Suppose x = -3*x + b. Suppose -32 = 4*g - x. Calculate the remainder when g is divided by 12.
10
Let c(a) = -a**3 - 4*a**2 - 4*a + 4. Let q be c(-4). Suppose -q = -4*f + 8. Calculate the remainder when 20 is divided by f.
6
Let m be 6/4 + 9/6. Suppose 0 = -m*a - 0*a + 27. Let u = -22 + 38. Calculate the remainder when u is divided by a.
7
Suppose 0 = -0*g + 2*g - 20. Suppose -3*m = -3*j - 21, -32 = m - 6*m + 2*j. Calculate the remainder when g is divided by m.
4
Let d be (-1)/3 + 16/(-6). Let c = d + 9. Calculate the remainder when c is divided by 4.
2
Let c = -12 - -17. What is the remainder when (-4)/3*51/(-4) is divided by c?
2
Let f be ((-10)/3)/(2/6). What is the remainder when 6/(-5)*f/4 is divided by 2?
1
Suppose -3*l = -5*k + 6, 2*l + 4*k - 3 = 5*l. Suppose 0 = 2*f + l*f - 95. Calculate the remainder when f is divided by (3 - 10)*(-3 - -2).
5
Let f(z) = 2*z**2 + 8*z + 3. Suppose x - 2*x = 5*t + 7, 0 = 3*x + 3*t - 15. Calculate the remainder when f(-5) is divided by x.
5
Let x = -3 - 12. What is the remainder when (-40)/12*216/x is divided by 17?
14
Let q = 236 - 164. Suppose q = 3*p - 12. Calculate the remainder when 111 is divided by p.
27
Suppose 22 = y + 3*y - 5*o, -30 = -4*y + o. Let q = 47 + -33. Calculate the remainder when q is divided by y.
6
Let c be ((-25)/3)/(4/(-12)). Suppose 0*a - c = -a. Calculate the remainder when a is divided by 14.
11
Suppose 5*i = -25 - 0. Let m = i + 10. Suppose -m*w + 5 = -15. Calculate the remainder when w is divided by 2.
0
Let j(w) = -2*w - 5. Let t(g) = -g + 4. Let f be t(9). Calculate the remainder when 17 is divided by j(f).
2
Let r = 31 - 12. Suppose 13*h + 15 = w + 18*h, 0 = -2*w + 2*h + 78. Calculate the remainder when w is divided by r.
16
Let c = 4 - 16. What is the remainder when 50 is divided by 3*(-4)/c + 16?
16
Suppose -2*w = -3*w - 2*c - 25, 3*w + 81 = -3*c. Let u = 52 + w. Let a(p) = 24*p - 4. What is the remainder when a(3) is divided by u?
22
Let k(g) = 3*g - 2. Let l be k(5). Let y = l + -11. Calculate the remainder when 3 is divided by y.
1
Calculate the remainder when 111 is divided by ((-23)/6)/((-17)/102).
19
Let f = -92 - -112. What is the remainder when f is divided by 11?
9
Suppose -4*m - 5*c = -c + 36, -4*m = -2*c + 18. What is the remainder when 9 is divided by 4*1 - 12/m?
3
Suppose 2*l - 2*b - 238 - 180 = 0, b = -l + 207. What is the remainder when l is divided by 11?
10
Suppose o - 8 - 12 = 0. What is the remainder when 57 is divided by o?
17
Suppose 3*g + 12 = 0, 2*k + 3*g + 5 + 1 = 0. Let p(u) = u + 12. What is the remainder when p(-8) is divided by k?
1
Let c(p) = -32