at is the remainder when 64 is divided by d(-2)?
9
Suppose 10 = 5*w - 5. Suppose -8 = -x - w*x. Suppose -4*l + 31 = z + l, -x*z - 2*l = -38. Calculate the remainder when 31 is divided by z.
15
Let h(w) = -4*w + 4. Calculate the remainder when h(-7) is divided by 9.
5
Let v be 2/(2 + -4)*-1. Suppose -4*h + v + 31 = 0. Calculate the remainder when h/(-3)*(-6)/4 is divided by 3.
1
Suppose -291 = 21*d - 24*d. Calculate the remainder when d is divided by 11.
9
Let a(h) = h**3 - 3*h**2 + 3. Let l be a(3). Suppose 6*j - 4*j + l*u = 64, 5*u - 60 = -2*j. Calculate the remainder when j is divided by 12.
11
Suppose 12*u - 11*u + 1 = 0. Let s(j) be the second derivative of 7*j**4/12 + j**3/6 + j**2/2 + j. Calculate the remainder when 19 is divided by s(u).
5
Suppose 362 + 382 = 12*y. What is the remainder when y is divided by 22?
18
Let r(u) = u + 2. Let t(z) = z**2 + z. Let f be t(-3). What is the remainder when 301/13 + 4/(-26) is divided by r(f)?
7
Suppose t - 4*t + 36 = 0. Calculate the remainder when 47 is divided by t.
11
Suppose -4*q = -2*c - 58, 2*q + 5*c + 17 = 4*q. What is the remainder when q is divided by 5?
1
Let p = 110 + -62. Let x = p - 32. What is the remainder when x is divided by 9?
7
Suppose 0 = 4*j + 4*g + 6 - 74, -3*g = -3*j + 45. Suppose -4*l = j - 4. Calculate the remainder when 35 is divided by 1*14 + (-5 - l).
11
Suppose -4*q = -2*q - 50. Let h(p) = -p + 5. Let y be h(0). Suppose 5*f = -q, y*n + f = 5*f + 175. What is the remainder when n is divided by 8?
7
Suppose 0 = 2*t - s - 6, 11 = 5*t - 2*t - s. Suppose 4*l - l = -q, t = 2*l - q. What is the remainder when l is divided by 1?
0
Suppose 0 = d + 2*d - 219. Suppose -f - 16 = -31. Calculate the remainder when d is divided by f.
13
Let o(q) = q**2 - 5*q - 9. What is the remainder when (12/(-18))/(2/(-27)) is divided by o(7)?
4
Suppose 3*x + 0*w = -4*w - 14, -3*w = -3*x. Calculate the remainder when 33 is divided by (-186)/(-21) - x/14.
6
Suppose -3 = 3*l + 3, 10 = 2*b - 5*l. Suppose -y = -3 - b. Calculate the remainder when 11 is divided by (y - (1 - -9))*-1.
4
Suppose 5*l = 5*d - d + 200, l + d = 40. What is the remainder when l is divided by 21?
19
Let v be -7 + 4 + 4 + -1. Let a(g) = -g**3 + 20. Calculate the remainder when a(v) is divided by 7.
6
Let s(m) = -m**3 - m**2 - 3*m - 1. Suppose 0 = 3*z + 4 + 5. Let d(c) = -2*c**3 - 2*c**2 - 1. Calculate the remainder when s(z) is divided by d(-2).
5
Let f = -65 - -18. Let i = 218 - 132. Let l = f + i. Calculate the remainder when l is divided by 10.
9
Let p(i) = 10*i**3 + i**2 - i. Let a be p(1). Suppose a = 3*l - 17. Calculate the remainder when 35 is divided by l.
8
Suppose -135 = -5*f + 3*z, -z - 4*z = -2*f + 35. Calculate the remainder when f is divided by 8.
6
Suppose 0 = -0*s - 2*s - 2. Let i be 1 - (2*-1 + 9). Calculate the remainder when 2 is divided by (3/i)/(s/4).
0
Let m = 1 - -4. Let k = m + -2. What is the remainder when 4 is divided by k?
1
Suppose 2*k - 4*k = 2*v - 76, 5*k - 175 = -2*v. What is the remainder when k is divided by 17?
16
What is the remainder when 75 is divided by ((-7)/(-2))/((-2)/(-4)) - 1?
3
Let d be 84 + 2 + (-1)/1. Suppose -4*a + d = a. Calculate the remainder when 50 is divided by a.
16
Suppose -3*h = 11 - 29. What is the remainder when 9 is divided by h?
3
Let u be (39/(-12))/(1/(-28)). Suppose 2*k - u = -21. Calculate the remainder when (2 - k)*12/(-9) is divided by 15.
14
Let x = 66 + -30. Suppose 0*t = -3*t - h - 62, -t = -5*h + 10. Let z = 33 + t. What is the remainder when x is divided by z?
10
Let d = -121 + 170. Suppose 3*h = 4*l + 142, -2*h - 46 - 86 = 4*l. Calculate the remainder when d is divided by l/(2*(0 + -1)).
15
Suppose 5*i = t + 38 + 26, 0 = 3*i - 4*t - 52. Calculate the remainder when 20 is divided by i.
8
Suppose -r - 2 = -3*t + 9, -5*t + 2*r = -19. Let d be (5/t + -2)*0. Suppose -a + 2 = -d. Calculate the remainder when 4 is divided by a.
0
Suppose 4*f = 2*h + 8, -f + 2*f + 3 = 3*h. Suppose l = -h*l + 48. What is the remainder when l is divided by 5 - (-2 - (-3)/3)?
4
Suppose -5*b + 2*u + 98 = 0, -3*u - 28 = -b + 2. Let g(l) = -10*l**2 - 8*l + 3*l**2 - 6 - 1 - l**3. Calculate the remainder when b is divided by g(-6).
3
Calculate the remainder when 27 is divided by (-8)/6*63/(-6).
13
Suppose l = 23 - 10. What is the remainder when 25 is divided by l?
12
Suppose 12*h - h = 979. Calculate the remainder when h is divided by 4.
1
Let v(h) = -h**2 - 4*h + 38. Calculate the remainder when 111 is divided by v(0).
35
Suppose -562 - 5 = -7*q. Calculate the remainder when q is divided by 28.
25
Suppose 47 = p - j, 5*p - j - 3 - 212 = 0. Suppose 3*r + 3*u = 7*u + 29, r - 3*u = 8. Calculate the remainder when p is divided by r.
9
Suppose -n + 11 = 3*w - 9, 8 = 3*n - 4*w. Let b = 83 + -52. What is the remainder when b is divided by n?
7
Suppose 0 = 4*c + 4*v - 416, -2*v - 9 = -1. Calculate the remainder when c is divided by 28.
24
Let j(h) = h**3 + 3*h**2 - 2*h + 2. Suppose 4*n = -3*f + 17, 4*n + 2*f + 7 = 7*f. What is the remainder when 34 is divided by j(n)?
16
Suppose 9 = 3*l - 3*n, -4*n - 10 = -3*l - 0. Suppose -l*f + 87 = 5*k, 0 = -4*k + k - 3*f + 54. Calculate the remainder when k is divided by 9.
8
Let n(w) = 1 + 0 - 6 - 5*w. Let r be n(-4). Suppose -5*p + 19 = 4*l, -r = -0*p - p + 2*l. What is the remainder when 20 is divided by p?
6
Let u = 13 - 8. Suppose -11 - 4 = -u*d. Calculate the remainder when (-3 + 1)*-2*2 is divided by d.
2
Suppose x + 20 = -2*x - 4*h, -3*x = 3*h + 18. Suppose 2*z - 3*z = -6. What is the remainder when z is divided by x*(-6)/8 - -1?
2
Suppose 2 = -x, -3*u = -2*x + x + 496. Let p = -69 - u. Let z = p + -35. What is the remainder when z is divided by 21?
20
Suppose 0 = 5*f - 2 - 13. What is the remainder when f is divided by 1?
0
Let c(z) = -3*z - 2. Let p = -6 + 6. Suppose -2*h = 2*m + 4, -m + p*m - 4 = 0. Calculate the remainder when c(-2) is divided by h.
0
Suppose 14 = 4*h + 5*v, -15 = -5*h - 0*h - 5*v. Suppose 0 = 6*p - 3*p - 42. Let g = p - 13. Calculate the remainder when h is divided by g.
0
Let y be (4 + -1)*(-12)/9. Let x be y/(-3)*6/4. Suppose -2*k = x*k - 16. Calculate the remainder when k is divided by 2.
0
Let g = -90 + 52. Let b = g - -56. Let r = -49 + 83. What is the remainder when r is divided by b?
16
Let z be (26/(-39))/((-4)/6). What is the remainder when 22 is divided by z + (3 - -1) + 3?
6
Let r = -14 - -37. What is the remainder when 112 is divided by r?
20
Let z(w) = -6*w + 59. Calculate the remainder when z(8) is divided by 3.
2
Suppose -6*s = -7*s + 88. Suppose 0 = -6*d + 4*d + s. What is the remainder when d is divided by 23?
21
Suppose -2*u - 3*g + 28 = -u, -3*g = 3. What is the remainder when u is divided by 11?
9
Let y(m) be the second derivative of -m**5/20 + 2*m**4/3 + 11*m**3/6 - 11*m**2/2 + 3*m. Calculate the remainder when 20 is divided by y(9).
6
Let u = 28 - 5. Calculate the remainder when 91 is divided by u.
22
Suppose 12 = 3*x - 12. Let b = -289 - -291. Calculate the remainder when x is divided by b.
0
Suppose 3*g - 18 = 2*g. Suppose -199 = -5*j + 2*m - 32, 4*m + 54 = 2*j. What is the remainder when j is divided by g?
17
Let a = 0 + 6. Suppose -d = -5, 3*p + 5 = a*p - 5*d. Calculate the remainder when 28 is divided by p.
8
Let x = 10 + 17. Let s = x - 15. Suppose 0 = 8*j - 3*j - 225. Calculate the remainder when j is divided by s.
9
Suppose 3*o = 2*s - 231, 2*o + 2*o = 2*s - 232. Calculate the remainder when s is divided by 29.
27
Suppose -r + 99 = -5*b, 105 = -5*b - 4*r - r. Let u = -6 - b. Calculate the remainder when 26 is divided by u.
12
Suppose 2*c - 78 = 14. Let r = 35 + -19. What is the remainder when c is divided by r?
14
Let q(a) = 3*a + 14. Let k be q(10). Let d = -31 + k. Calculate the remainder when d is divided by 8.
5
Let b = 45 - 26. What is the remainder when b is divided by 11?
8
Let x(w) = -11*w + 4. Let t be 15/3 - 3 - -1. Calculate the remainder when x(-3) is divided by 24 + 1 + -3 - t.
18
Let i = 11 + -8. Suppose 0 = 3*f + 5*x - 47, i*x - 73 = -5*f - 0*x. What is the remainder when 40 is divided by f?
12
Let b(g) = 2*g**2 - 3*g - 4. Let t be b(3). Calculate the remainder when 1*(3 - t) + 30 is divided by (-68)/(-7) + 6/21.
8
Suppose 0 = 4*k - 1 - 299. Suppose -4*y + k = -y. Calculate the rem