
12
Suppose -4 - 3 = -h. Suppose -3*o = 4*b - 32, -3*b = -7*o + 4*o - 3. What is the remainder when h is divided by b?
2
Let f(k) = -3*k**3 - 6*k**2 + k + 4. Calculate the remainder when f(-3) is divided by 4.
0
Suppose -3 - 9 = -3*i. Suppose -2*t + 3*w - 96 = -5*t, -t = i*w - 47. What is the remainder when 51 is divided by t?
24
What is the remainder when 43 is divided by 6/15*(53 + 2)?
21
Let n = 104 - 68. Calculate the remainder when 71 is divided by n.
35
Suppose -3*g + 5*x = -152, 0 = -2*g - 5*x + 6*x + 92. Calculate the remainder when g is divided by 17.
10
Let f = 25 + -20. Suppose d = -3*q + 13, f*d - 55 = -3*q - 2*q. What is the remainder when d is divided by 3?
1
Let n(m) = m**2 - 7*m - 13. What is the remainder when n(11) is divided by 8?
7
Let l(n) be the first derivative of -n**2/2 + 10*n - 2. What is the remainder when l(7) is divided by 5/2 + 2/(-4)?
1
Suppose 5*f + 17 + 9 = p, 2*p = -f + 30. What is the remainder when 47 is divided by p?
15
Let i(k) = -6*k - 273. Let b(s) = -3*s**2 + s - 2. Let g be b(2). Let n = g - -23. What is the remainder when i(-49) is divided by n?
10
Let p = 0 + 9. What is the remainder when 15 is divided by p?
6
Suppose -3*i + 184 = 5*d, i = -5*d + 45 + 13. Let n = 97 - i. Calculate the remainder when n is divided by 12.
10
Let k = -7 - -11. Suppose -k*y - 5*o - 22 = -5*y, 20 = 5*y + 5*o. What is the remainder when 26 is divided by y?
5
Suppose 5*s + 2*g - 51 = -g, g = -3. Calculate the remainder when 22 is divided by s.
10
Suppose -38 = -2*l - 12. What is the remainder when 23 is divided by l?
10
Let f(q) = -2*q**2 - 54*q + 8. What is the remainder when 23 is divided by f(-27)?
7
Let i(r) = r**3 + 8*r**2 + 5. Let c = 0 + -8. What is the remainder when i(c) is divided by 4?
1
Let z(n) = -n**3 - 18*n**2 - 19*n - 14. Let m(y) = y**3 - 6*y**2 + y + 3. Let h be m(5). What is the remainder when 77 is divided by z(h)?
17
Suppose 10*h = h + 45. Let z be 186/15 + 4/(-10). Suppose 0 = b - z - 6. Calculate the remainder when b is divided by h.
3
Let c(o) = 83*o**2 - o. What is the remainder when c(-1) is divided by 22?
18
Suppose -3*f - 6 = 2*g + g, f - 13 = 4*g. Suppose -a - f = -8. What is the remainder when 12 is divided by a?
5
Let s(b) = -7*b - 2*b + 3*b + 1. What is the remainder when 49 is divided by s(-2)?
10
Let x = -26 + 43. Let r be 2/8 + 19/4. Suppose 2*i - x = -3*k, i + 3*i + r*k - 35 = 0. What is the remainder when 28 is divided by i?
8
Suppose -x + 3*x = 6. Suppose -x*h + 16 = -4*v, -2*h - 5*v = -h - 37. What is the remainder when 34 is divided by h?
10
Suppose -2*v = -3*v. Calculate the remainder when (-44 - -3)/(v + -1) is divided by 22.
19
Let g(v) = 3*v + 14. Let y(i) = -2*i - 13. Let u(n) = 6*g(n) + 7*y(n). Calculate the remainder when u(6) is divided by 4.
1
Let l = -6 + 36. What is the remainder when 58 is divided by l?
28
Suppose 2*q - 5*q = 0. Suppose q = -n + 3 + 5. Calculate the remainder when n is divided by 5.
3
Let l = 10 + -7. Suppose l*f - 6*f + 48 = 3*r, f + 62 = 5*r. Suppose v - 35 = -2*g, 4*v + 28 = 2*g + 118. Calculate the remainder when v is divided by r.
12
Let y be (3 + (1 - 3))*15. Let z = y + -7. What is the remainder when 31 is divided by z?
7
Calculate the remainder when 84 is divided by (-2)/(-5) - (-1859)/65.
26
Suppose f - 4*f + 105 = 0. What is the remainder when 53 is divided by f/2*8/5?
25
Suppose -36 = 5*a - 11. What is the remainder when 13 is divided by a/((-2)/(1 + 1))?
3
What is the remainder when 63 is divided by 1*-1*(-34 - -1)?
30
Suppose 5*h + 3*w - 26 = 0, 3*h + 3*w - 10 - 2 = 0. Let u be -8*(-1 - -1 - 1). Suppose 2*x = 4*x - u. Calculate the remainder when h is divided by x.
3
Suppose -3*d + 40 + 5 = 4*x, 2*d = -2*x + 22. What is the remainder when (-1)/(-2) - ((-385)/10 + 5) is divided by x?
10
Suppose 0 = 3*f - 1 - 17. Let q(r) = r**3 + 5*r**2 - 5*r + 5. Let c be q(-6). Let l = f + c. What is the remainder when 14 is divided by l?
4
Suppose 3*r + 2*r = -15. Let q = 11 + r. Let d = q + -4. What is the remainder when d is divided by 2?
0
What is the remainder when 39 is divided by ((-105)/(-10)*(-8)/(-6))/1?
11
Let r = -3 + 9. What is the remainder when 11 is divided by r?
5
Let x = -72 - -95. What is the remainder when x is divided by (-78)/(-9)*3/2?
10
Let r = 74 + -55. What is the remainder when 55 is divided by r?
17
Suppose z = 4*z - 66. What is the remainder when 83 is divided by z?
17
Suppose 0 = -0*x - 4*x - 2*s + 16, 3*x - 12 = -2*s. Suppose h = 2*b - x*b + 47, 0 = -2*h - 6. Calculate the remainder when b is divided by 9.
7
Let q be (-2)/(0 + 4/(-6)). Suppose q*r - 84 - 6 = 0. What is the remainder when r is divided by 11?
8
Suppose -3 = 5*i + 4*h, 5*i - 2*h - 7 = 2. Suppose 5*y - 5*u - 75 = 0, y = -2*u - i + 4. Calculate the remainder when y is divided by 6.
5
Let u = -2 - -3. Let n = 1 + u. Suppose 2*v + n*v = 4. What is the remainder when 1 is divided by v?
0
Let t(g) = -2*g - 2. Suppose 49 = 3*o + 5*d, -5*o - 4*d - 29 = -128. What is the remainder when o is divided by t(-5)?
7
Let t = 120 - 62. Let b(m) = -m**3 - 7*m**2 - 4*m - 6. Let y be b(-6). Let d = 38 + y. What is the remainder when t is divided by d?
18
Suppose -4 + 21 = u - 2*f, f = -2*u + 29. Suppose 0 = -3*c - 5*w + 77 + 94, -5*c - 5*w = -285. Calculate the remainder when c is divided by u.
12
Let z = 0 + 6. Calculate the remainder when (-916)/(-44) + -5 + 4/22 is divided by z.
4
Let s be (-21)/(-14) + (-2)/(-4). Suppose s*w = -w + 6. Suppose 0 = -w*b + 17 + 9. What is the remainder when b is divided by 4?
1
Let k be (-5 + 6)/((-2)/(-2)). Suppose 2*n = 3 - k. Let w = 7 - 5. Calculate the remainder when w is divided by n.
0
Let v = -31 - -43. Let k(h) = h**3 - 4*h**2 + h - 3. Let t be k(3). Let p = t - -43. Calculate the remainder when p is divided by v.
10
Let m be 74/(1 + 2 + -1). Suppose 5*x - 3*s = -0*s + m, 26 = 2*x - 4*s. Suppose -x*k + 116 = -9. Calculate the remainder when k is divided by 13.
12
Calculate the remainder when 255 is divided by (-1)/2 + 783/18.
40
Let m be (0 + 1)*(-2 - 1). Let k be (1/3)/(m/(-18)). Suppose -4*y - 2*f = -130, k*f = y + 3*f - 33. What is the remainder when y is divided by 11?
10
Let u(m) = -m**2 + 6*m - 6. Let f be u(4). Suppose 0 = -f*v + 16 + 2. What is the remainder when 26 is divided by v?
8
Let s = 119 - 76. What is the remainder when s is divided by 11?
10
Suppose 0 = 3*s + 27 + 21. Let j be (-12)/s + 545/4. Suppose 3*i = j - 44. Calculate the remainder when i is divided by 11.
9
Suppose 6*u = 5*u + 31. Calculate the remainder when 121 is divided by u.
28
Let y(b) = b - 3*b + 1 + 0*b. Suppose 5*d - 28 - 6 = 3*l, -2*l + 9 = 3*d. What is the remainder when 13 is divided by y(l)?
6
Let b be -3 + 21*(-20)/6. Let r = 117 + b. What is the remainder when r is divided by 15?
14
Let p(a) = -a**3 + 6*a**2 + 21*a - 19. Calculate the remainder when 123 is divided by p(8).
18
Let j = 9 - 4. Let q = 0 + j. Calculate the remainder when (-6)/(-21) - 267/(-21) is divided by q.
3
Suppose 2*n + 28 = 4*n. Let x(v) = 3*v + 10. What is the remainder when x(10) is divided by n?
12
What is the remainder when (-1)/((-4)/228) + -3 is divided by 19?
16
Let o(h) = -9*h - 18. What is the remainder when 11 is divided by o(-3)?
2
Suppose -3*y = -56 - 19. Let v = 3 - -2. Let j = 14 - v. Calculate the remainder when y is divided by j.
7
Let g = 3 + -1. Let j be (-190)/(4/g) - 1. Let w = j - -161. What is the remainder when w is divided by 22?
21
Suppose 5*r = -2*b - 5 + 383, 2*r = 2*b + 140. Calculate the remainder when r is divided by 20.
14
Suppose -99 = -5*m - 2*v, -3*v = 2*m - 52 + 19. What is the remainder when 62 is divided by m?
20
Let t(i) = i + 61. Calculate the remainder when t(0) is divided by (3/(-2)*1)/((-159)/1696).
13
Suppose 3*x = 6*x - 933. Calculate the remainder when x is divided by 13.
12
Suppose -2*m = -2*d, 3*d + 10 = -4*m - 11. Let h be (d/(-2))/((-4)/(-8)). Suppose 2*j = -h + 9. What is the remainder when 5 is divided by j?
2
Let z(h) = h**3 + 10*h**2 + 8*h - 6. Let q be z(-9). Suppose -5*c + 4*g + 18 = 0, -q*c = 4*g - 5*g - 15. What is the remainder when 16 is divided by c?
4
Let g be 55/10 - 2/4. Suppose -g*j - 72 = -217. What is the remainder when j is divided by 8?
5
Let y(h) = -h**2 + 9*h - 1. Let m be y(4). Suppose -4*t + 21 = 9, 0 = 5*i