- 1. What is the remainder when 31 is divided by d?
15
Let i = 12 + -12. Suppose i = -5*x - 215 + 825. What is the remainder when x is divided by 31?
29
Let f(r) = -r**3 - 4*r**2 + 2*r - 11. Let o be f(-5). Suppose -7*y + 74 = -o*y - u, 5*y = u + 126. Calculate the remainder when 51 is divided by y.
25
Suppose 3*j - 19 + 1 = 0. Let x(s) = 4*s**2 - s - 1. Calculate the remainder when x(-2) is divided by j.
5
Let c = -3 - -2. Let t be 1382/10 + c/5. Suppose 0*y + t = 3*y. Calculate the remainder when y is divided by 16.
14
What is the remainder when (-18)/(-3)*9/6 is divided by 4?
1
Let u(q) = q + 7. Suppose -5*v - r = -16, 0 = 4*v - v + 3*r. Suppose v*s - 60 = s. What is the remainder when s is divided by u(0)?
6
Let c be ((-18)/4)/(1/(-10)). What is the remainder when 3365/c + (-4)/(-18) is divided by 20?
15
Let x = 44 - -32. Let w(y) = y**3 + 5*y**2 + 4*y + 1. What is the remainder when x/16*(-4)/(-1) is divided by w(-3)?
5
Suppose 4*o - 4 + 20 = 0. Let u(y) be the first derivative of y**3/3 + y**2 - 4*y + 1. What is the remainder when u(o) is divided by 2?
0
Let l be 15/9 - 1/(-3). Suppose 60 = 5*n + 5*k, -6*k + l*k + 15 = n. Suppose -4*h - h = u + 14, -3*u = 4*h - 2. What is the remainder when n is divided by u?
5
Let l(r) = -r**3 - 10*r**2 + 5. Let o be l(-8). Let p = -81 - o. What is the remainder when p is divided by 15?
12
Let s = -41 + 79. Calculate the remainder when s is divided by 13.
12
Suppose 0 = -5*h + c + 406, -2*h + 414 = 3*h + c. What is the remainder when h is divided by 22?
16
Let d = 41 + -26. Suppose 6*w = 3*w - 150. Let s = w + 93. Calculate the remainder when s is divided by d.
13
Let c = 14 + 60. What is the remainder when c is divided by 19?
17
Let x = 21 + -48. Let o = 59 + x. Calculate the remainder when 61 is divided by o.
29
Suppose d = -0*d + 13. Let i be (-3)/6*(-12)/(-3). What is the remainder when d is divided by ((-6)/i - 1) + 2?
1
Let m = 8 + 1. Calculate the remainder when 43 is divided by m.
7
Suppose -2*l - 65 = 3*l. Let q = 23 + l. Suppose -4*j - 2*f = -6, -5*f + q = 4*j + j. What is the remainder when 2 is divided by j?
0
Let s = 47 - 36. Let y(l) = -2*l - 7. Let b be y(-6). Suppose -b*n + 2*f + 213 = 0, 47 + 64 = 3*n + 3*f. What is the remainder when n is divided by s?
8
Let v(u) = 12*u - 2. What is the remainder when 35 is divided by v(1)?
5
Suppose -x + 5*x = 380. Suppose -5*j + x = 15. Let v = -9 + 18. What is the remainder when j is divided by v?
7
Let y(m) = 34*m**2. What is the remainder when y(-1) is divided by 12?
10
Suppose 0 = 8*q - 4*q - 16. Suppose 0 = s + q*p + 1, -3*s + 4*p + 13 = -0*s. Suppose s*u - 120 = -2*u. What is the remainder when u is divided by 13?
11
Suppose 3 = v - 2. Suppose 0 = 3*k + h - 2*h - 10, -v*k = -5*h - 30. Suppose 0 = -3*o - k*o + 205. What is the remainder when o is divided by 14?
13
Suppose 2*a = -3*a + 325. Suppose 4*s - 35 - a = 0. Calculate the remainder when 72 is divided by s.
22
Let o(i) = 13*i**3 + 1. Suppose 4*b - 25 = 3*h - 4*h, -3*b + 40 = 5*h. Calculate the remainder when o(1) is divided by h.
4
Calculate the remainder when 16 is divided by 1*3*(17 + -14).
7
Let s(u) = -45*u**3 + u**2 + 2*u + 1. Let t(a) = 24*a - 1. Calculate the remainder when s(-1) is divided by t(1).
22
Suppose -2*r = r - 6. Suppose -2*y + 5 = -1, 0 = -5*c + 4*y - 92. What is the remainder when (c/12)/((-2)/3) is divided by r?
0
Let r = -5 + 6. Suppose -2 = -y + r. Let h(n) = -3*n - 3. What is the remainder when h(-4) is divided by y?
0
Let v = 38 - 22. Calculate the remainder when (-324)/(-7) - 4/14 is divided by v.
14
Suppose -4*i = -4*q + 124, 6*q - 4*i - 92 = 3*q. Let r = 4 + q. What is the remainder when r is divided by 13?
10
Suppose s = -6*i + 2*i - 20, -3*s = -2*i - 10. Let u(g) = -2*g + 5. What is the remainder when 13 is divided by u(s)?
3
Suppose 5*o = 2*i - 1 + 15, 4*i = -2*o - 4. Let r = o - -2. Let g = -22 + 33. Calculate the remainder when g is divided by r.
3
Suppose -4*z - 5*z = -27. What is the remainder when 8 is divided by z?
2
Let o(s) = 6*s + 1. Suppose -3*i + 4*i = 5*z + 33, 25 = i - 3*z. What is the remainder when o(4) is divided by i?
12
What is the remainder when ((-8)/6)/((-2)/9) is divided by 2?
0
Let q(v) = -v + 9. Suppose -4*n = -0 - 8. What is the remainder when 5 - 0*n/(-4) is divided by q(6)?
2
Let n(h) be the second derivative of h**4/12 + 25*h**2/2 - 3*h. What is the remainder when n(0) is divided by 9?
7
Suppose -35 = -7*w - 7. Let q = 1 + -1. Suppose q = -w*o - 0*j + 3*j + 57, 0 = 4*j + 12. What is the remainder when o is divided by 5?
2
Let v(l) = -l**2 - l - 1. Let g be v(-2). Let a = -4 - g. Let u = 1 - a. Calculate the remainder when 2 is divided by u.
0
Let l = -37 - -9. Calculate the remainder when (-8)/l - 33/(-7) is divided by 2.
1
Let u = -74 + 42. Let p = u - -47. Let q = -29 + 57. Calculate the remainder when q is divided by p.
13
Let h = -8 - -22. Suppose 0*a + 31 = -a. Let k = a - -71. Calculate the remainder when k is divided by h.
12
Suppose -5*u + 74 = -0*h + 3*h, 4*h - 56 = -4*u. What is the remainder when 46 is divided by u?
14
Suppose 0 = -z + 5, 3*x - 4*z = -3 - 2. What is the remainder when 14 is divided by x?
4
Suppose s + 2*h + 2*h = -58, -5*s = -4*h + 290. Let k = s + 92. Suppose -4*z = -5*p - k, -p = 3*z + 8 - 43. Calculate the remainder when 21 is divided by z.
10
Suppose -4*q + 886 = -s, -3*q - 3*s = -4*q + 216. Suppose 0 = 2*m + q - 50. Let c = -49 - m. Calculate the remainder when c is divided by 13.
11
Suppose 172 = 2*p + 5*v, -2*p + 316 = 2*p + 3*v. Calculate the remainder when p is divided by 13.
11
Calculate the remainder when 9 is divided by 9/6*12/9 + 4.
3
Let z(k) = -10*k + 44. What is the remainder when z(-10) is divided by 29?
28
Suppose 74 = 5*x - 61. What is the remainder when 130 is divided by x?
22
Let k(j) = j**2 + 2*j - 2. Suppose 4*a - 6 = 2*a. What is the remainder when (-4)/18 + (-218)/(-9) is divided by k(a)?
11
Suppose 2*f + 3 = -n + 2, 4*f + 3*n - 1 = 0. Let g = 3 - -12. Let v = g + f. Calculate the remainder when v is divided by 7.
6
Suppose -4 = -3*d - d. Calculate the remainder when -20*d*96/(-30) is divided by 22.
20
Suppose -6*u = -2*u - 120. Let l = u - 18. Calculate the remainder when 46 is divided by l.
10
Suppose 229 = 4*l + 25. Suppose -12 = t - l. What is the remainder when t is divided by 21?
18
Let g = 79 + -40. What is the remainder when g is divided by 10?
9
Let t = -38 + 55. Calculate the remainder when 41 is divided by t.
7
Let r = 177 + -90. What is the remainder when r is divided by (-3 + 2)*2*-11?
21
Let r(u) = 4 - u**2 + u**2 - 8*u + u**3 + 6*u**2. Suppose 0 = 3*x - 0*x - 3*p + 12, 2*x + 5 = 3*p. What is the remainder when 32 is divided by r(x)?
10
Calculate the remainder when 4 is divided by 1/(-1 + (-2)/(-1)).
0
Suppose 2*x = 5 + 5. Let k be 2 + 0 - 0/x. Calculate the remainder when 6 is divided by k + 5/(5/2).
2
Suppose -y + 12 = -26. What is the remainder when y is divided by 10?
8
Suppose -2*l - 3*n = -15 - 5, 0 = 5*n + 10. What is the remainder when l is divided by 0 + 3 + -1 - -3?
3
Let l = 12 - -47. Calculate the remainder when l is divided by 15.
14
Suppose 185 = 3*a + 2*a. Calculate the remainder when 108 is divided by a.
34
Let c = -79 + 114. Suppose 0*d = -3*d + 15. Suppose -d*s + 5*h + 30 = 0, -s = -h - 2*h. What is the remainder when c is divided by s?
8
Suppose 2*m - 4 + 2 = 0. Let v be (-1)/2*(-3 + -1). Calculate the remainder when (v + -23)*m/(-3) is divided by 3.
1
Suppose -5*m + 3*u = 9, 2*u - 6 = -2*m + 3*m. Suppose 2*n - 52 - 46 = m. What is the remainder when n is divided by (-234)/(-14) + (-2)/(-7)?
15
Let q = -166 - -290. Suppose 5*k = q - 24. Let h = k + -9. What is the remainder when 32 is divided by h?
10
Let i(x) be the second derivative of -x**4/6 + 4*x**3/3 - 7*x**2/2 + x. Let m be i(5). Let b = 40 + m. What is the remainder when b is divided by 12?
11
Let n = 25 + -14. Calculate the remainder when 54 is divided by n.
10
Suppose 4*i = -6*a + 2*a + 40, -4*i - a = -52. Suppose 0*c = -2*c + 3*t + 333, 2*c = -3*t + 315. What is the remainder when c/4 + 7/14 is divided by i?
13
Suppose 0 = -4*l + 4, -3*l + 0*l = -r + 7. Let d = -9 + r. Calculate the remainder when 1 is divided by d.
0
Let a(h) = -17*h - 2. Let r be a(4). Let k = r - -105. Calculate