o - 2*i = -18 - 16. What is the remainder when o is divided by 10?
8
Let o(t) = -t**2 - 6*t. Let z be o(-6). Suppose z = -q + 4. Suppose 3*k = 3*a + 27, -q*k = 2*a + 1 - 13. Calculate the remainder when 8 is divided by k.
3
Let w be (-621)/(-36) + (-1)/4. Let n(c) = 4*c**2 - 1. Calculate the remainder when n(2) is divided by 9/(-36) - w/(-4).
3
Let j(a) = a**2 - a + 39. Calculate the remainder when j(0) is divided by 8.
7
Suppose -4*z + 142 = -2*z. What is the remainder when z is divided by 20?
11
Let u(c) = -c**3 + 6*c**2 - c + 7. Suppose 2*p - 59 = -5*k + 14, -3*p = 3*k - 42. What is the remainder when u(5) is divided by k?
12
Let y(v) = 2*v**3 + 5*v**2 - 5*v + 5. Calculate the remainder when y(3) is divided by 18.
17
Suppose -4*g - 73 = 5*k + 31, 3*k = 5*g + 167. Calculate the remainder when (3/(-1) + g)*-1 is divided by 12.
10
Let z(w) = w**2 - w - 5. Calculate the remainder when 73 is divided by z(5).
13
Let q = 4 + 5. Let c(f) = 2*f**2 + 3*f - 4. Suppose 1 = 3*w - 2*p, -w = -3*w - 3*p - 21. What is the remainder when q is divided by c(w)?
4
Let d = 11 + -8. Suppose 0 = o + d*o + n - 7, 5*n = 2*o - 31. Calculate the remainder when 30/(-8)*8/(-3) is divided by o.
1
Suppose -h + 7 = -0*h. What is the remainder when 25 is divided by h?
4
Let t(z) be the first derivative of -9*z**2/2 - 4*z + 7. What is the remainder when 95 is divided by t(-4)?
31
Let l = -1 - -4. Suppose -4*q = 5*i - 102, -l*q = 4*i + 21 - 98. Calculate the remainder when q is divided by (-130)/(-11) + (-8)/(-44).
11
Let b = 48 + -32. Let q = -10 + b. What is the remainder when q is divided by 3?
0
Let u be (-18)/(-5) + (-2)/(-5). Suppose 3*v - 46 = -5*i, 7*i - 15 = u*i. What is the remainder when v is divided by 4?
3
Let p(a) = 18*a**2 - a + 2. Calculate the remainder when 54 is divided by p(1).
16
Suppose 1 = -15*z + 46. Calculate the remainder when 13 is divided by z.
1
Suppose -f = -6*p + 3*p + 17, -p = 3*f + 71. Let b = 84 + f. Suppose 0 = 4*x - 3 - b. Calculate the remainder when 30 is divided by x.
14
Suppose -4*h + 15 = -h. Suppose 0 = 4*g + a - 39, -h*g + 2*a + 53 = -a. Calculate the remainder when g is divided by 6.
4
Let d(c) = -2*c**2 - 8*c + 6. Let t = -1 + 0. Let i = 21 - t. What is the remainder when i is divided by d(-4)?
4
Let c = -10 + 53. Calculate the remainder when 128 is divided by c.
42
Let u be -2*(-3)/3 + -5. Let z be u/(-6)*2 - -2. Suppose -z*n + 37 = -29. Calculate the remainder when n is divided by 12.
10
Suppose 3*s + 3*r + r - 200 = 0, -2*r = 8. Suppose -3*t + s = t. Calculate the remainder when t is divided by 5.
3
Suppose -3*c = 2*v + 372, -109 - 253 = 2*v - 2*c. Suppose 0 = -3*o - 31 - 5. What is the remainder when (v/o)/(3/12) is divided by 21?
19
Suppose 0 = 2*j - 29 - 17. Calculate the remainder when j is divided by 6.
5
Suppose 0 = -8*d + 3*d + 20. Suppose 0 = -4*g + d, 3*f = 2*g - 66 - 26. Let y = 51 + f. What is the remainder when 60 is divided by y?
18
Suppose -r - 1 - 4 = 0. Let t(i) = -2*i - 6. Calculate the remainder when t(r) is divided by 3.
1
Let k(u) = u + 6. Calculate the remainder when k(6) is divided by (-12)/(-4) + 0 + 1.
0
Suppose 40 = -0*f + 2*f. What is the remainder when 19/(-2)*(-1 - 1) is divided by 5*-5*(-8)/f?
9
Calculate the remainder when (-12)/(-8)*282/3 is divided by 24.
21
Let n(z) = -z**2 - 8*z + 2. Let c be n(-7). Suppose -3*t = c, -4*r + 245 + 12 = t. What is the remainder when r is divided by 33?
32
Suppose 4*h = -4*w, 2*h + 8 = 3*w - 7. Suppose w*c + c = 468. Suppose -3*j = -6*j + c. Calculate the remainder when j is divided by 20.
19
Let a = -32 - -44. Calculate the remainder when 47 is divided by a.
11
Let x be (6/9)/((-1)/18). Let b = x - -33. What is the remainder when b is divided by 6?
3
Suppose 5*o - 500 = 5*n, -518 = 5*n - 0*n + 4*o. What is the remainder when 28 is divided by n/(-10) - 8/40?
8
Suppose 3*p - 111 = -0*p. Let f be 3 + -1 + (1 - 0). Suppose f*q + 2*q = 95. What is the remainder when p is divided by q?
18
Suppose -3*u - 3*p + 48 = 0, 14 = -2*p + 8. Suppose k - 12 = 2*l, -l = 4*k - 17 - 22. Calculate the remainder when u is divided by k.
9
Suppose 3*h + h - 4 = 0, 2*r - h = -9. Let q(l) = -4*l + 5. Calculate the remainder when 40 is divided by q(r).
19
Let i(z) be the first derivative of 2*z**2 - 3*z + 2. Let m be i(-4). Let j = m - -31. What is the remainder when 23 is divided by j?
11
Let t(m) = -m**2 - 16*m - 3. Let s(y) = -2*y**2 + y + 2. Let w be s(3). Calculate the remainder when t(w) is divided by 13.
10
Suppose 16 = 2*i - 2*w, -i + 4*w = -19 + 5. What is the remainder when (5 - 3)/(i/249) is divided by 28?
27
Suppose -2*g + 2*j = g - 158, 0 = 2*j - 4. Suppose -2*c - g = -4*c. Calculate the remainder when c is divided by 10.
7
What is the remainder when ((6/8)/1)/((-4)/(-256)) is divided by 13?
9
Suppose -61 = -p - 5. Let o = 29 - 10. What is the remainder when p is divided by o?
18
Suppose -13*b + 254 + 175 = 0. What is the remainder when b is divided by 9?
6
Suppose -7*x + 5*x + 6 = 0. What is the remainder when x is divided by 3?
0
Suppose 0 = 2*p - 6, -4*t - 3*p = -t - 90. Let w(g) = g + 16. What is the remainder when t is divided by w(-10)?
3
Let z = -14 - -52. Let d = 19 + 18. Suppose -2*r - 2*g + 26 = 0, -d = -2*r + g - 11. Calculate the remainder when z is divided by r.
12
Let x be 4/(-2) - (11 + -5). Let j = x + 14. What is the remainder when 8 is divided by j?
2
Suppose r + 18 = 2*f, -3*r + 0*r - 24 = -3*f. Suppose 53 = 4*t - 99. What is the remainder when t is divided by f?
8
Let t = -15 + 23. Calculate the remainder when (t/(-10))/((-8)/500) is divided by 17.
16
Let i be (-10)/(-5) + 1*-29. Let g = -14 - i. Calculate the remainder when 24 is divided by g.
11
Let r be ((-16)/(-6))/(2/48). Let z = -12 + r. Suppose -5*t = z - 182. Calculate the remainder when t is divided by 14.
12
Let k(g) = -g**2 + 12*g - 16. Suppose 172 = -q + 5*q. Calculate the remainder when q is divided by k(9).
10
Suppose -y - 4*y + 82 = p, -p + 3*y = -98. Suppose -3*t = t - p. What is the remainder when t is divided by 12?
11
Let w(c) = 6*c**2 - 4*c - 3. Suppose 0 = y - 5, v + y + 3 = 18. What is the remainder when w(-2) is divided by v?
9
What is the remainder when 49 is divided by 3*(29/3 - 1)?
23
Suppose -3*o - 6 + 16 = 4*s, 3*o - 2*s - 40 = 0. Calculate the remainder when 48 is divided by o.
8
Suppose 0 = r + 2*r. Suppose 10 = x + 2*d - r, x - 5*d + 11 = 0. What is the remainder when 10 is divided by -3*(x/6 + -2)?
2
Suppose -3*m + 61 = -7*m + p, 5*m + 5*p = -70. Let d be m/(-10)*(-3 + -1). Let l = d - -19. Calculate the remainder when l is divided by 8.
5
Let p(i) = 7*i**2 - 2*i - 1. Calculate the remainder when 31 is divided by p(-1).
7
Let j(q) = q**2 + 3*q - 6. Let o be j(-5). Suppose -41 + 9 = -o*b. What is the remainder when 30 is divided by b?
6
Let c(f) = f**2 - f + 10. Let z(q) = 16*q + 4. Let o be z(-3). Let b = -26 - o. What is the remainder when c(7) is divided by b?
16
Let f be (-2)/(0 + (-1)/2). Suppose -5*r + 20 = 0, 0*z = -f*z + 5*r - 8. Calculate the remainder when 10 is divided by z.
1
Let w(y) = -3*y. Let n = -8 + 17. What is the remainder when n is divided by w(-1)?
0
Suppose -2 = -4*l + 2*m + 4, 11 = 5*l + m. Let u be (l - (0 - -2))/2. Suppose 5*i - 102 + 12 = u. Calculate the remainder when i is divided by 10.
8
Let i = -12 - -25. What is the remainder when 38 is divided by i?
12
Let t = 24 + -9. Suppose 2*u + u + t = 0. Let v(i) = i**3 + 7*i**2 + 4*i - 6. Calculate the remainder when 71 is divided by v(u).
23
Let a(r) = r**2 + 7*r + 10. Let h be a(-5). Suppose 5*t + h*t - 19 = -3*p, 0 = -p + 2*t + 21. Calculate the remainder when 49 is divided by p.
10
Suppose 5*s - 3*b = 35, 4*s - 2*b = 3*b + 41. Suppose 4*g = -v - 9, 0*v - 2*g - 3 = v. Calculate the remainder when v is divided by ((-2)/s)/(1/(-4)).
1
Suppose 8*b = 7*b. Suppose 2*j = -3*n + 6*j + 28, -4*n - 5*j + 89 = b. Calculate the remainder when 47 is divided by n.
15
Suppose -4*r + 6*r - 8 = 0. Calculate the remainder when 3 + 3 - 0/(-2) is divided by r.
2
Let g(f) = f**3 - 2*f**2 - 5*f + 4. Suppose 62 = -2*z + 4*z. Calculate the remainder when z is divided by g(4).
15
Let r(d) = d - 3. Let i be r(5). Suppose 3*g - 3*v - 10 = -34, -2*v - 20 = i*g. Let p = -3 - g. Calculate the remainder when 11 is divided by p