late the remainder when (1 + 17)*4*7/42 is divided by 7.
5
Suppose 0 = -2*d + 6*d - 16. Suppose 0*i - 4*i + 40 = 0. Suppose 0 = 5*p + i - 60. Calculate the remainder when p is divided by d.
2
Suppose u - 3*u = -44. Let k = u + -13. Calculate the remainder when 24 is divided by k.
6
Let i = 51 - 30. Calculate the remainder when i is divided by 8.
5
Let s = -32 - -48. Let n(o) = -2*o + 9. Let l be n(7). Let f(m) = -7*m - 5. Calculate the remainder when f(l) is divided by s.
14
Let b = -3 - -38. Let k be (3/2)/(15/40). Suppose u + 3*i = -k + 31, 0 = -2*i + 10. Calculate the remainder when b is divided by u.
11
Let t(x) be the third derivative of x**5/30 + x**4/24 - x**3/2 + 8*x**2. What is the remainder when t(3) is divided by 5?
3
Let u = -14 + 15. What is the remainder when (0 + (-32)/(-6))*6 is divided by u - 3 - (3 - 22)?
15
Suppose -3*y + 3*s - 18 = 0, -s + 1 = -2*y - 6. Suppose 5 = -3*g - 2*f, -2*g - 5 + 1 = 2*f. What is the remainder when 23 is divided by 11 - (-1 - (g - y))?
11
Let s = 4 - -7. What is the remainder when -1 + 28 + 1 + 2 is divided by s?
8
Let v = -21 + 65. Calculate the remainder when v is divided by 15.
14
Let s = -30 - -81. What is the remainder when s is divided by 26?
25
Calculate the remainder when 13 is divided by 3/(-6)*4 + 10.
5
Suppose 5*c + 2 = -y + 23, c - 5*y + 1 = 0. Suppose -c*t + 13 = 1. Suppose 0 = 3*i - 2*u - 14, -u = i - 0*u - 8. What is the remainder when i is divided by t?
0
Let g(y) = -y - 2. Let s be g(-2). Suppose -r + 5*w - 11 + 37 = s, 5*r + 2*w + 5 = 0. Suppose -3*q = -2 - 1. What is the remainder when q is divided by r?
0
Let x = -9 - -9. Let t be (0 - x) + 6 + -1. Suppose 2*l - 6 = y + 1, 13 = t*l + 2*y. What is the remainder when 7 is divided by l?
1
Suppose 0 = -10*t + 5*t - 170. Let m = 21 + t. Let a = 35 + m. What is the remainder when 65 is divided by a?
21
Let j = 25 + -21. Let z(t) = t**3 - 5*t**2 + 4*t - 6. Calculate the remainder when z(5) is divided by j.
2
Suppose -4*r = f - r + 54, -2*f = -2*r + 76. What is the remainder when 2/7 + (-1080)/f is divided by 7?
5
Let m = -50 - -64. Let s be (1 - (-5)/(-3))*3. What is the remainder when (-26 - 1)*(-3 - s) is divided by m?
13
Let t be -31 - 3 - (-2 - 2). Suppose -w - 3*w = -44. What is the remainder when t/(-4)*8/3 is divided by w?
9
Suppose -j = s - 0*s - 1, 0 = -4*s + 2*j + 22. Let f(u) = -u - 7*u - u**3 - 7*u**2 + 0 - 9. What is the remainder when s is divided by f(-6)?
1
Let f = 108 + -49. Let c = 13 - -2. Calculate the remainder when f is divided by c.
14
Let c = -30 - -43. Let i(r) = 37*r**2 - r. What is the remainder when i(-1) is divided by c?
12
Suppose 2*b + w - 7 = -0*w, b - 3*w = 21. What is the remainder when 17 is divided by b?
5
Let h(b) be the second derivative of b**3/3 - 9*b**2/2 - b. What is the remainder when h(9) is divided by 6?
3
Let b(z) = z - 5 + 6*z**2 - 2*z + 2*z + 3. Calculate the remainder when 38 is divided by b(-2).
18
Let d be 7/2 - (-1)/(-2). Suppose 3*z - 5*s = z + 16, -3*z + 15 = -d*s. Calculate the remainder when 11 is divided by z.
2
Let t(q) be the second derivative of q**4/12 + q**3/3 + q. Calculate the remainder when t(2) is divided by 3.
2
Let s = 27 - -41. Suppose -51 = -2*v - 5*o, -5*o - 17 = -4*v + 10. Let r = 36 - v. Calculate the remainder when s is divided by r.
22
Suppose -10 = -0*w + 2*w, -29 = -2*j + w. Calculate the remainder when 22 is divided by j.
10
Let d = -135 - -160. What is the remainder when 49 is divided by d?
24
Suppose 5*z - 5 - 5 = 0. Suppose 3*m = -v + 42 + z, 0 = -m + 2. Let h = -27 + v. What is the remainder when h is divided by 6?
5
Let h = -39 - -78. What is the remainder when h is divided by 11?
6
Let c(w) = w + 5. Let m be 4/6*(-12)/(-1). Suppose 2*d + 0 = m. Calculate the remainder when c(5) is divided by d.
2
Let z be 2 + -5 + 1 - -23. Suppose -3 - 1 = -2*m. Calculate the remainder when z/5 + 2/(-10) is divided by m.
0
Suppose 5*g - 4*y = 7*g - 174, -g + 85 = y. What is the remainder when g is divided by 23?
14
Let d = 133 - 103. Calculate the remainder when d is divided by 13.
4
Let l be 3/5 - (-168)/20. Suppose l + 2 = h + 4*q, -8 = 4*q. What is the remainder when 35 is divided by h?
16
Let b(w) = -w**3 + 8*w**2 + 2*w - 6. What is the remainder when b(7) is divided by 29?
28
Suppose y + 2 = 3*y. Let v(d) = 3*d - 5. Calculate the remainder when v(2) is divided by y.
0
Suppose i + 5 = 0, 0 = -4*r + 4*i - 17 + 105. What is the remainder when 536/12*27/18 is divided by r?
16
Let h = 29 + -17. Calculate the remainder when 45 is divided by h.
9
Suppose 5*b - 284 - 64 = q, 0 = -5*b - 2*q + 354. Suppose 0 = -5*o - 0*o + b. Calculate the remainder when 39 is divided by o.
11
Suppose -5*f = 2*c - 26, -f - 3*c = 3*f - 25. Suppose 7 = f*v - 37. Let x(q) = -11*q - 2. What is the remainder when x(-2) is divided by v?
9
Let t be (171/(-6) - -2)*2. Let n = 34 + t. What is the remainder when 26 is divided by (-1 - n)*6/12?
8
Let x(t) = 4*t**3 - 4*t**2 + 2*t. What is the remainder when x(2) is divided by 7?
6
Suppose b - 2 = 3. Calculate the remainder when 13 is divided by b.
3
Suppose -2*v - 2 + 28 = 0. What is the remainder when 25 is divided by v?
12
Let j be 10/(-3)*9/(-6). Suppose -4*y = 4*b - 43 - 21, j*y - 40 = 3*b. Calculate the remainder when 20 is divided by y.
9
Let f = -5 - -5. Suppose f = l - 8 - 9. What is the remainder when 32 is divided by l?
15
Let y = -18 - -27. What is the remainder when y is divided by 6?
3
Suppose 0 = w - 6*w + 40. What is the remainder when 21 is divided by w?
5
Let f(b) = -54*b - 4. Calculate the remainder when f(-2) is divided by 21.
20
Let h = -16 + 18. Let m be 4/(-6) - 8/(-3). Calculate the remainder when 11 is divided by 12/(4/m) - h.
3
Suppose 0*f + 4*f - 164 = 0. Suppose -4*n = -249 + 17. Let h = n - f. What is the remainder when h is divided by 6?
5
Let v = -2 - -9. Calculate the remainder when 12 is divided by v.
5
Let p(k) = k**3 - 3*k**2 - 3*k - 2. Let z be p(4). Suppose 5 = z*w - w. Let m = 23 + -11. Calculate the remainder when m is divided by w.
2
Calculate the remainder when -1*(-32)/1 - 3 is divided by 16.
13
Suppose 4*q - m - 23 = 0, 5*q - 4*m - 14 = 2*q. What is the remainder when 13 is divided by q?
1
Let s be 1*-2 + 109 + -7. Let x = s - 71. Suppose 0 = -3*q + 9 + 36. Calculate the remainder when x is divided by q.
14
Suppose 54 = 3*a + 30. Calculate the remainder when 19 is divided by a.
3
Let o = -43 - -102. Let f = -8 + 28. What is the remainder when o is divided by f?
19
Let n(x) = x**2 - 13*x + 3. Let d be n(10). Let b = -6 - d. Calculate the remainder when b is divided by 8.
5
Let c be (-63)/(-13) - (-12)/78. Suppose 2*d = 0, -v - c*d = 4*v - 190. Calculate the remainder when v is divided by 13.
12
Suppose -2*m - 2*m = 5*b - 37, -m - 3*b + 18 = 0. Suppose -110 = -5*g - 7*j + 2*j, m*j = -15. Let w = -15 + g. What is the remainder when 35 is divided by w?
11
Suppose -3*k + 4*m + 344 = 0, 5*k - 367 = -4*m + 185. Calculate the remainder when k is divided by 19.
17
Let m(p) = p + 3. Let q(n) = -n. Let u(s) = m(s) - 3*q(s). Let j be u(-7). Let b = -3 - j. Calculate the remainder when 64 is divided by b.
20
Suppose 56*r - 54*r - 44 = 0. What is the remainder when 85 is divided by r?
19
Let u(k) = -7*k + 16. Calculate the remainder when u(-12) is divided by 35.
30
Suppose x - 8 = 2. Calculate the remainder when 27 is divided by x.
7
Suppose a - 139 - 61 = 0. What is the remainder when a is divided by 51?
47
Let u = -1 - 0. Let x be (-6)/(9/6*u). Calculate the remainder when 51 - x/(-1 - -3) is divided by 17.
15
Suppose -3*w = 4*n + n - 79, -n + 5*w = 1. Suppose -z - 3 = -2*z. Suppose -4*m + 5 = -z*m. What is the remainder when n is divided by m?
4
Suppose -9*l + 2*l + 49 = 0. Calculate the remainder when l is divided by 4.
3
Suppose -4*i - 2*a = -0*a - 20, i = -2*a + 2. Let d = 68 - 52. Calculate the remainder when d is divided by i.
4
Let x(z) = z**2 + z - 1. Let b be x(-2). Suppose 3 - 28 = -5*t. Calculate the remainder when (-2 + b)/((-1)/9) is divided by t.
4
Let f be -2 - 1 - (0 + -6). Suppose 38 = 5*k + 5*o + 13, -f*o + 5 = -2*k. What is the remainder when 7 is divided by k?
1
Suppose -2*y - 4*m + 4 = 2*y, 2*y + 4*m = 0. Suppose y*x = -4 - 2. Let z = x + 8. What is the remainder when 14 is divided by z?
4
Suppose 0