remainder when b is divided by 6/(-2) + (1 - -7)?
4
Let q(n) = 10*n**2 + 2*n - 3. Let w be q(4). Let d = w + -134. Calculate the remainder when 51 is divided by d.
20
Let s(t) = -9*t + 18. Let w be s(-8). Suppose 3*l + 2*l - w = 0. Calculate the remainder when 50 is divided by l.
14
Let r = -5 + 52. Suppose -7*s = -180 + r. Calculate the remainder when s is divided by 7.
5
Let p = 227 - 218. Calculate the remainder when 125 is divided by p.
8
Let y = 105 - 40. Calculate the remainder when y is divided by 22.
21
Let d(j) be the second derivative of 1/20*j**5 + 2*j**3 + 0 + 4*j - 3/4*j**4 - 1/2*j**2. Calculate the remainder when d(8) is divided by 17.
14
Let n(c) = 31*c + 11. Calculate the remainder when n(3) is divided by 53.
51
Suppose c = 2*c + j - 20, 3*c - 74 = 4*j. Suppose 20*w = c*w + 4. Calculate the remainder when 9/w*(-56)/12 is divided by 6.
3
Suppose -3*r + 4*l = -37, -5*r = 3*l - 3 - 49. Let u = -90 + 91. Let t = r - u. What is the remainder when 18 is divided by t?
8
Let f = 9 - 7. Suppose 4*k - 57 = g, f*k - 4*g - 48 = -2. Suppose 0 = -4*y + 9*y - 245. What is the remainder when y is divided by k?
10
Let w(o) = 5*o - o**3 + o**3 + 2*o**2 - 2*o**3 + 3*o**3. Let l be w(4). Let n = -57 + l. What is the remainder when n is divided by 31?
28
Suppose -4*t + 84 = 48. What is the remainder when (-100)/(-6) - 4*3/(-36) is divided by t?
8
Let u(h) = 2*h**2 - 38*h + 4. Calculate the remainder when u(24) is divided by 73.
25
Let d(z) = z**3 + 6*z**2 - 6*z + 10. Suppose -33 + 11 = -u. Suppose 11 = 3*r - u. Calculate the remainder when r is divided by d(-7).
2
Let y = 1062 - 1011. Let j(s) = -9*s. Let p be j(-1). Let a = 36 - p. Calculate the remainder when y is divided by a.
24
Suppose -v - 2*v + 6 = 0. Let a(k) = 3*k**2. Let h be a(-1). Calculate the remainder when v is divided by (2 - (h + 0))*-1.
0
Suppose -3*i - 12 = -d, -8 = 2*i - 4*d - d. Let o be (-141)/(-12) - 1/i. Let g = -4 + o. Calculate the remainder when 31 is divided by g.
7
Suppose 0 = -5*m + 3 + 7, 3*m = -2*z + 180. Suppose -2*k + z = 1. Suppose 3*h - 88 = -5*h. What is the remainder when k is divided by h?
10
Calculate the remainder when (-52 - -11)*(-1)/((-2)/(-2)) is divided by 17.
7
Suppose -p - 3*k + 158 = 0, 4*p + 10 = -2*k + 662. Suppose 0 = 62*c - 66*c + p. What is the remainder when 78 is divided by c?
37
Calculate the remainder when 44 is divided by (-398)/(-16) + (-50)/(-400).
19
Let n = -142 + 372. Calculate the remainder when n is divided by 58.
56
Suppose 0 = -110*z + 119*z - 153. Calculate the remainder when 66 is divided by z.
15
Let m = 807 - 695. What is the remainder when m is divided by 45?
22
Let u(y) = -78*y + 13. What is the remainder when 168 is divided by u(0)?
12
Let h(i) = -i - 1. Let c(m) = -2*m + 2. Let b be c(8). What is the remainder when h(b) is divided by 5?
3
Suppose -4*g - 14 = -h, 2*h + 8 = 3*h - g. Suppose d + 3 = 4*j + 18, 0 = 2*d + 4*j + h. Calculate the remainder when 20 is divided by d.
2
Suppose -11*k - 58 + 190 = 0. Calculate the remainder when 40 is divided by k.
4
Calculate the remainder when 166566/969 - (-2)/19 is divided by 23.
11
Let r(g) = 2*g**2 + 20*g + 14. Let x be r(-9). Calculate the remainder when 52 is divided by (1*-40)/((-4)/(x + 6)).
12
Let l(b) = 3*b - 20. Let x be l(6). Let o(u) = u - 2. Let y be o(x). Let q = 13 + y. Calculate the remainder when 35 is divided by q.
8
Let c(p) = -34*p - 225. What is the remainder when c(-14) is divided by 16?
11
Let q(x) = x**3 - 15*x**2 + 10*x + 32. Let p be q(14). What is the remainder when 36 is divided by (-684)/p*2/3?
17
Suppose m = -0*m + 17. Let i be 3/(30/514) - (-10)/(-25). Suppose 3*n - 72 = -i. Calculate the remainder when m is divided by n.
3
Let n(y) = 3*y**2 - 30*y + 9. Calculate the remainder when n(16) is divided by 61.
53
Suppose -7*d + 376 = 19. What is the remainder when 78 is divided by (-1 + 31)*34/d?
18
Suppose -12 = 3*x, 0*c - 3*x = -5*c + 52. Let d = c - 6. Suppose d*v = j - 17, 2*j - 25 = -7*v + 2*v. Calculate the remainder when j is divided by 8.
7
Let a = -376 - -783. Calculate the remainder when a is divided by 41.
38
What is the remainder when 5 is divided by (20 - 6)*3/21*2?
1
Suppose 6*g - 36 = 5*g. Suppose l + 2*h = 134, -5*h + 0*h = 20. Calculate the remainder when l is divided by g.
34
Let m = -728 + 789. Calculate the remainder when 422 is divided by m.
56
Suppose p - 4*w = 34, 0 = -2*p + 5*w + 30 + 26. Suppose 2*n = 5*n - p. Calculate the remainder when 12 + 6 + (-6)/2 is divided by n.
3
Suppose -20 = -5*q, -2*o - 5 = -5*q + 13. Let h(b) = -b**2 - 10*b - 7. What is the remainder when h(-8) is divided by o?
0
Calculate the remainder when 10/8 + 54372/368 is divided by 49.
2
Suppose 3*d + k = -0*d + 56, -3*d + 5*k = -80. Let u(j) = 1 + 4*j - 7*j + 2*j. Calculate the remainder when d is divided by u(-6).
6
Let o = 15 - 8. Let b = 66 - 94. Let j = b - -39. What is the remainder when j is divided by o?
4
Calculate the remainder when 111 is divided by (3 + 3)*(105/18 - -4).
52
Let y(s) = s**3 + 4*s**2 - s + 7. Calculate the remainder when 64 is divided by y(-3).
7
Let o = 30 - -21. What is the remainder when o is divided by 19?
13
Let b be ((-30)/(-8) - 3)/(1/152). Let u = b + -5. Calculate the remainder when u is divided by 28.
25
Let h = 1 - -3. Suppose -16 = -5*y - 2*d + 5*d, -y + d = -h. Suppose 0 = -2*b + y*l + 36, 0 = -b + 4*l + 10 + 2. What is the remainder when 58 is divided by b?
18
What is the remainder when 1 - (-604 + (10 - 7)) is divided by 121?
118
Suppose 4*j - 23 = -2*i - 7, 5*i + 2*j = 80. Calculate the remainder when 69 is divided by i.
15
Let i = 806 - 752. Calculate the remainder when 112 is divided by i.
4
Let z(i) = -i**2 - 9*i - 3. Suppose -k + 13 = -103. What is the remainder when 1 - (2 - k)/2 is divided by z(-3)?
13
Let r(z) = z**3 - 22*z**2 - 43*z + 30. Calculate the remainder when r(24) is divided by 3.
0
Suppose 13*s - 7*s = 702. Let w(o) = 2*o + 51. Calculate the remainder when s is divided by w(-17).
15
Suppose 0 = r - 36 + 15. Calculate the remainder when r is divided by (-2)/(-3)*9/(-3) + 7.
1
Suppose 5*t - 2*r - 29 = 0, -t = -3*t - 3*r + 4. Suppose i = t - 17. What is the remainder when 77 is divided by (i + -3)/((-15)/20)?
17
Let w(h) = 2*h**2 + 6*h - 4. Suppose 3*x - 7 = -2*b + 3, -20 = -3*x - 4*b. Suppose x = -z + 3*z - 124. Calculate the remainder when z is divided by w(-5).
14
Let m(r) be the third derivative of -5*r**2 + 0*r - 1/6*r**3 + 2/5*r**5 + 0 + 0*r**4. What is the remainder when 89 is divided by m(-1)?
20
Let c = 130 + -134. Calculate the remainder when -35*(2 - (c + -4 + 11)) is divided by 13.
9
Let d be 5 + (-7)/((-7)/(-2)). Suppose 5*s - 100 = d*s. Suppose -h + 2*m = -11, 5 = -0*m + 5*m. What is the remainder when s is divided by h?
11
Let d = 156 - 125. Calculate the remainder when d is divided by 13.
5
Suppose -9*h = -6*h - 2*f - 256, 4*h + 3*f - 330 = 0. What is the remainder when 922 is divided by h?
82
Let m(y) = -21*y - 42. Let j be m(-5). Let h = j - 29. Calculate the remainder when 130 is divided by h.
28
Let v = -4911 - -4955. What is the remainder when v is divided by 40/2*8/10?
12
Let t(s) = 13*s + 3. Let x = -5 + 8. Let h(m) = -33*m - 374. Calculate the remainder when t(x) is divided by h(-12).
20
Suppose 0 = -4*r + 31 + 89. Let o(p) = -21*p - 277. What is the remainder when o(-16) is divided by r?
29
Let s = 51 + -91. Let k = s - -27. Let i = k - -16. What is the remainder when i is divided by 1?
0
Suppose -3*z + 0*z = 15. Let r = z + 7. Suppose -12 = -f - r*f. What is the remainder when 11 is divided by f?
3
Let d = 2148 + -2066. Let p = 52 - 35. What is the remainder when d is divided by p?
14
Suppose n = 4*n + 9. Let j(d) = -25 + 2*d - d - 3*d + 9*d**2 + 22. Calculate the remainder when j(n) is divided by 17.
16
Suppose 727*c - 740*c = -3575. Calculate the remainder when c is divided by 12.
11
Let f(s) = s**2 - 12*s - 9. Let l be f(13). Suppose -4*k - 340 = -4*d, -l*k - 209 = -3*d + 49. What is the remainder when d is divided by 28?
26
Suppose -4*a = 3*j - 97, 5*a - 2*j + 3*j - 113 = 0. Suppose 15 = v - 3*n, -5*v + 4*v - 4*n + a = 0. Calculate the remainder when 34 is divided by v.
16
Suppose 680 = 8*t + 200. Suppose -5*b + 31 = w - 0*w, -4*w = b - 86. What is the remainder when t is