 is the remainder when c is divided by s/4 + (-15)/(-20)?
3
Let a(x) be the third derivative of x**6/120 + x**5/3 - 11*x**4/12 - 7*x**3/3 + 8*x**2. Calculate the remainder when 17 is divided by a(-21).
3
Suppose -2*s - 8 + 0 = 2*y, 0 = -3*y - 4*s - 14. Calculate the remainder when 110 is divided by (y - 0)*-57*(-1)/(-3).
34
Calculate the remainder when 1588/36 - (-16)/(-144) is divided by 17.
10
Let b(j) = -3*j**3 - 17*j**2 + 27*j - 10. Let a(p) = p**3 + 8*p**2 - 13*p + 5. Let s(v) = -5*a(v) - 2*b(v). Calculate the remainder when 48 is divided by s(5).
23
Let t(g) = g**3 - 17*g**2 + 3*g + 231. Calculate the remainder when 109 is divided by t(16).
17
Suppose 4*c + 55*w - 59*w = 1284, -5*c = 5*w - 1565. What is the remainder when c is divided by 5?
2
Suppose 5*l - 4*j - 78 = 0, -4*l + 0*j + 62 = -3*j. Calculate the remainder when 472/l - (-16)/56 is divided by 14/2 + (0 - -2).
7
Suppose 4*h - 2*h - 4*x - 60 = 0, -60 = -2*h - 5*x. Calculate the remainder when h is divided by 4.
2
Let p = 10481 - 10447. Let m(c) = 27*c**2 + c - 1. What is the remainder when p is divided by m(1)?
7
Suppose -2*t = -p - 1, 5*p - 4*t - 7 = 4*p. Let a = 12 + p. What is the remainder when 31 is divided by a?
1
Let a(g) = g**2 + 18*g + 19. Suppose -27 - 3 = 2*p - 3*w, 4*p = w - 70. What is the remainder when 53 is divided by a(p)?
15
Let k be (-20)/5*3/(-4). Let j = 9 - k. Let s = -33 + 43. Calculate the remainder when s is divided by j.
4
Let d be 18/2 + (-2)/(-2). Let r = 12 - d. What is the remainder when (-6)/(-1) + -2 + r is divided by 4?
2
Suppose 0 = -6*t + 11*t + 2*h - 109, 0 = h - 2. Calculate the remainder when t is divided by 20.
1
Suppose 227 - 767 = -60*k. What is the remainder when 989 is divided by k?
8
What is the remainder when 100 is divided by (-1 - (-57)/(-21))/((-6)/21)?
9
Suppose -5*v - 5*k + 240 = 0, 4*v + 0*v - 5*k = 201. Calculate the remainder when v is divided by 26.
23
Let a = 13710 - 13697. Suppose 5*m + g - 18 = 0, -2*m + g + 2 = 4*g. Suppose m*w = -0*w + 20. What is the remainder when a is divided by w?
3
Let v(l) = -l**2 - l. Let m(g) = -4*g**2 - 3*g + 17. Let f(b) = m(b) - 3*v(b). Calculate the remainder when 31 is divided by f(0).
14
Suppose -4*t + 672 = 5*m, 73*t + 3*m + 504 = 76*t. What is the remainder when t is divided by 19?
16
Suppose 4*l = w + 553, -w + 3*w = -2. What is the remainder when l is divided by 49?
40
Let q be (-1 - -4) + 12 + -7. Suppose -n = q - 16. Suppose 2*j = 17 + 45. What is the remainder when j is divided by n?
7
Suppose -z = -y + 14 + 39, -y - 3*z = -41. Suppose -96 - 99 = -15*v. What is the remainder when y is divided by v?
11
Let w be ((-11)/(-33))/(2/12*1). Suppose 4*k - 80 = w*l + 60, 3*k = -l + 115. What is the remainder when k is divided by 15?
7
Calculate the remainder when 135 is divided by 20 - (-4)/(16/(-12)).
16
Let q(b) = -5*b + 147. Calculate the remainder when 55 is divided by q(23).
23
Let t = 1727 + -1629. Suppose -3*j + 102 - 42 = 0. What is the remainder when t is divided by j?
18
Suppose 322 = -0*g + 7*g. What is the remainder when g is divided by 11?
2
Suppose -8 = -6*l + 22. Suppose -2*y = -l*y + 48. What is the remainder when y is divided by 13?
3
Let x(j) = -j**2 - j. Let v be x(1). Let o be v + 24/4 + -1. Suppose -o*d + 4*d - 53 = -5*i, -3*i + 39 = -3*d. What is the remainder when 43 is divided by i?
10
Suppose 2*f - 397 = -3*i, -1004 = -5*f + i + 3*i. Suppose f = -71*x + 75*x. Calculate the remainder when 249 is divided by x.
49
Let x(r) be the second derivative of -r**4/12 - 5*r**3/2 - 8*r**2 - 11*r. Calculate the remainder when x(-11) is divided by 15.
13
Let v = 10 + -7. Suppose -7 = -5*l + v. Suppose 3*d = l*z + 7 + 2, 21 = 2*z + 3*d. Calculate the remainder when z is divided by 1.
0
Let c = -237 + 249. Calculate the remainder when 46 is divided by c.
10
Let g = 13729 - 13721. Let q = 1 + 2. Suppose -4*l + q*w + 153 = 0, 5*l - 49 = -2*w + 125. Calculate the remainder when l is divided by g.
4
Let l(k) = 7*k + 4. Let w(v) = 3*v + 2. Let a(n) = 2*l(n) - 5*w(n). Let d be a(-2). What is the remainder when 67 is divided by 1*(16 + (1 - d))?
16
Suppose 7*b + 50 = 204. Suppose 435 = 5*g - 0*g. What is the remainder when g is divided by b?
21
Suppose 22*k = 122*k - 6500. What is the remainder when 582 is divided by k?
62
Let p = 105 + -73. Let f = p + -10. Suppose b - f = -b. What is the remainder when 42 is divided by b?
9
What is the remainder when 100 is divided by (9/(-6))/((-15)/260)?
22
Suppose -p - 2*u = -56, 15*p - 11*p - 2*u - 274 = 0. Suppose z - 4*t = -4*z + 77, 4*z = -3*t + 74. Calculate the remainder when p is divided by z.
15
Suppose 5*q = -20, 0*t - 3*q = -t - 29. Suppose 4*w = -349 - 63. Let z = t - w. Calculate the remainder when z is divided by 13.
10
Let z(p) = -p**3 + 7*p**2 - 3*p - 3. Let x(n) = 7 - 5 + 3*n + 7 + 11*n**2 - 4. Calculate the remainder when x(-2) is divided by z(6).
13
Let z(b) = 26*b**3 + b**2 + 4*b - 3. Suppose 3*i - 146 = 2*f, -3*f = -5*i - 7*f + 280. Calculate the remainder when i is divided by z(1).
24
Let g be (6/4)/(-3)*132. Let r be (-4)/(-6) - g/(-18). Let t = 6 + r. What is the remainder when 9 is divided by t?
0
Let i be 0 - (-3 + (-4 - -3)). Suppose i*x = -3*j + 35, 2*j - 5*x + 19 = 3*j. Calculate the remainder when 15 is divided by j.
6
Calculate the remainder when 7 is divided by (-116)/203*(-14)/4.
1
Calculate the remainder when (0 - (-318)/(-2))*234/(-351) is divided by 6.
4
Suppose 11*b - 216 - 268 = 0. What is the remainder when b is divided by 14?
2
What is the remainder when (-232)/(-24) + -10 + (-248)/(-6) is divided by 24?
17
Suppose 18*i = 14*i - 12. What is the remainder when i*(-3)/(-15)*-5 is divided by 3?
0
Suppose 9*z + 1380 = 4*j + 4*z, 2*j = -4*z + 690. What is the remainder when j is divided by 29?
26
Suppose 4*p - 22*y + 17*y = 301, 0 = 5*p + 2*y - 401. Calculate the remainder when 463 is divided by p.
68
Let n = 497 + -496. Let g(q) = q**3 - 5*q**2 - 7*q + 9. Calculate the remainder when g(6) is divided by n.
0
Suppose -42*b + 365 = -601. Let v = 204 + -138. Calculate the remainder when v is divided by b.
20
Suppose 5*c - p = 416, 0 = 3*c - p + 62 - 310. What is the remainder when c is divided by 2/(-8) + 242/8?
24
Suppose 0 = 2*s + 3*h - 75, 4*s - 2*h = 2*h + 180. Calculate the remainder when 149 is divided by s.
23
Suppose 0*w = 5*w + 4*d - 20, 2*w - 2*d + 10 = 0. What is the remainder when 33/(-22)*(w - 4) is divided by 2?
0
Suppose -4*t = 25 - 69. Calculate the remainder when (-4)/3 + 190/3 is divided by t.
7
Let u(z) = 3*z - 39. What is the remainder when 62 is divided by u(20)?
20
Let k(a) = a**2 + 6*a + 5. Let b = 58 - 41. Suppose 52 = -5*r + b. What is the remainder when 34 is divided by k(r)?
10
Suppose -10 = 3*z - 4*z - g, -g - 3 = 0. Suppose 0 = 6*b - 3*b. Suppose b*r + d = -r + 48, -94 = -2*r - 4*d. Calculate the remainder when r is divided by z.
10
Let p(w) = w**3 - 15*w**2 - 4*w + 6. Let a be p(15). Let s = -46 - a. Calculate the remainder when 26 is divided by s.
2
Let s(y) = -3*y - 9. Let a be s(-19). Suppose 3*w + a = 11*w. What is the remainder when 23 is divided by w?
5
Let d(t) = 7*t. Suppose -2*b - 14*b = -512. What is the remainder when b is divided by d(1)?
4
Suppose 2*w + 8 = 0, -2*p - 5*w + 6*w = -80. Suppose -2*u = -4*b - 28, u + 3*b + 4 = p. Calculate the remainder when 3/6 - (-166)/4 is divided by u.
20
Let c(i) = i**2 - i - 173. What is the remainder when 43 is divided by c(-14)?
6
Let a be (-168)/(-32)*8/2. Suppose 0*o = 3*o - 4*p - 20, a = 3*o - 3*p. What is the remainder when 37 is divided by o?
5
Let o = 41 + 61. What is the remainder when o is divided by 6?
0
Suppose 40 = 5*a - 5*y, 3*y = -9*a + 4*a + 72. Let f(o) = o**3 + 21*o**2 + 30*o - 21. What is the remainder when f(-19) is divided by a?
11
Let p(z) = -17*z + 13. Let c = 257 + -142. Suppose t - 5*s - 23 = -0*s, 5*t - c = s. Calculate the remainder when t is divided by p(0).
10
What is the remainder when 327 is divided by (-23)/(-69)*(93 - 0)?
17
Let z(i) = -36*i + 43. What is the remainder when z(-5) is divided by 76?
71
Suppose 64 = 7*s - 15*s. What is the remainder when 21 is divided by -2*(-2)/s*-12?
3
Let n(u) = u**2 - 10*u - 15. Calculate the remainder when n(21) is divided by 58.
42
Let m be ((-3)/2 - -1)/(41/5986). Calcula