d by 20?
18
What is the remainder when (-13)/(-4) + (-2)/8 is divided by 2 + (6/14 - 27/63)?
1
Let d(n) = 29*n - 5. What is the remainder when d(5) is divided by 47?
46
Suppose -4*d + 204 = 4*x, 2*x - 102 = -d - 2*d. Suppose -x = h - 4*h. What is the remainder when 29 is divided by h?
12
Let p be (4/10)/(4/10). Suppose -4*s = 5*j - 34, -p = j + 4*s - 11. Calculate the remainder when j is divided by 3.
0
Let r be 33/9 - 4/(-12). Suppose 2*z = -5*a + r, -5*z - 5*a + 10 = -2*a. Calculate the remainder when 6 is divided by z.
0
Let j(c) = 25*c - 1. Let h be j(4). Calculate the remainder when (-3 + 22/6)*h is divided by 17.
15
Let r(c) = 95*c**2 - c - 1. What is the remainder when r(-1) is divided by 25?
20
Suppose -3*j + 17 = -2*c - 3*c, 9 = j - c. Suppose -3*a = 2*i - 80, -4*i + 4*a - 14 = -174. What is the remainder when i is divided by j?
12
Suppose 4*z - 54 = -0*f - 5*f, z - 66 = -5*f. What is the remainder when 39 is divided by f?
11
Suppose 4*m + 6 = 5*m. Calculate the remainder when m is divided by 13/5 + 6/15.
0
Let d(i) = 11*i. Let k be d(1). Suppose -79 - k = -3*r. Let a = -9 - -25. Calculate the remainder when r is divided by a.
14
Let f(p) = p**3 + p**2 - 4*p + 4. Suppose 0 = -5*o - 2*r + 65, 3*o + 4*r - 55 = -2*o. What is the remainder when f(3) is divided by o?
13
Suppose 4*x - b - 37 = -11, 0 = -5*x - b + 37. Calculate the remainder when 13 is divided by x.
6
Suppose 192 = 4*h + t, -2*h - 2*t = -h - 55. What is the remainder when h is divided by 25?
22
Suppose -4*i - 16 = -g, i + 3 = 1. Suppose f = -f + g. Suppose -2*c + 226 - 76 = 5*r, 3*c - 127 = -f*r. What is the remainder when r is divided by 10?
8
Let s(j) = -2*j**3 - 2*j**2 + 2*j + 3. Let b = 14 + -1. What is the remainder when b is divided by s(-2)?
6
Suppose 4*d = 5*q + 426, -d - 47 + 153 = -q. Calculate the remainder when d is divided by 21.
20
Let x(u) = -u**3 + 3*u**2 + 3*u + 3. Let g(t) = -t - 1. Let d be g(1). What is the remainder when 32 is divided by x(d)?
15
Suppose 4*p + 2*v - 23 = 7*v, 0 = 4*p - 3*v - 33. Calculate the remainder when (5/10)/((-1)/(-94)) is divided by p.
11
Let c be (-7)/7 + (-62)/2. Let h = c + 46. What is the remainder when -18*((-2)/4 + -1) is divided by h?
13
Let s = 36 - 30. Calculate the remainder when 39 is divided by s.
3
Let l(s) = 2*s**2. Let a be l(2). Let o(z) be the first derivative of -z**3/3 + 11*z**2/2 - 4*z - 10. Calculate the remainder when o(a) is divided by 11.
9
Suppose -4*m - 2*c + c = -46, -5*m = -c - 53. Suppose -5*w + m = -4. Suppose -11 = 2*o - w, 2*g - 3*o = 16. Calculate the remainder when 4 is divided by g.
0
Let n(s) = -s**2 - 7*s - 5. Let g = -1 + -4. What is the remainder when n(g) is divided by 3?
2
Suppose -z - 4 = -2*z. Suppose 37 = z*v + 5. What is the remainder when 22 is divided by v?
6
Suppose -y + 40 + 18 = 0. Calculate the remainder when y is divided by 15.
13
Calculate the remainder when 2/7 - (-110)/7 is divided by 0/(-2) - (-5 + -1).
4
Suppose -l + 62 = 2*b + 2*b, 3*l - 5*b - 135 = 0. Suppose 0 = 5*c - 3*j - 64, l = 3*c + c - 2*j. Calculate the remainder when c is divided by 6.
5
Suppose -2*j - j - 15 = 0, -3*u + 254 = 5*j. What is the remainder when u is divided by 19?
17
Let h be ((-3)/6)/((-2)/108). Suppose h + 73 = 4*b. Suppose i - 3 = -x + 8, 0 = 4*x - 3*i - 30. Calculate the remainder when b is divided by x.
7
Suppose 0 = 2*r + 4*s - 124, -r - 3*s + 82 = 23. Let l = 170 + -106. Let o = l + -41. What is the remainder when r is divided by o?
22
Calculate the remainder when 28 is divided by 20/(-90) - (-274)/18.
13
Let x(b) = b**2 + 4*b - 5. Let v be x(-5). Suppose -109 = -j - 4*d, v*d = -j - 3*d + 111. What is the remainder when j is divided by 30?
27
Suppose 4*r = 2*c + 3*c + 16, 8 = -c + 2*r. Suppose c*v - 140 = -2*v. Calculate the remainder when v is divided by 18.
16
Let b = 2 + -1. Let o = -18 - -35. Calculate the remainder when o is divided by (-7 + 1)*(b - 2).
5
Suppose 0 = -2*l + 2*j + 122, -l = j - 26 - 31. What is the remainder when l is divided by 12?
11
Suppose 5*d + 1999 = 2*d - 2*r, -2652 = 4*d - 4*r. Calculate the remainder when 15 is divided by (-4)/(-30) - d/75.
6
Let g(r) = -r**2 + 21*r - 11. What is the remainder when -1 + (-1 - (-72)/2) is divided by g(20)?
7
Suppose 66 = 3*p - 0*p + 3*c, 6 = 3*c. What is the remainder when 59 is divided by p?
19
Let g(h) = -h**2 + 7*h - 6. Let b(x) = 2*x**2 - 15*x + 11. Let c(o) = -3*b(o) - 5*g(o). What is the remainder when c(7) is divided by 10?
8
Let a = -11 - -25. Suppose 5*f = -4*z - 15, 4*z + 3 = -f - 0. What is the remainder when a is divided by 8*(-1)/3*f?
6
Suppose 3*q + 62 = 3*f + f, 0 = -4*f + q + 58. Calculate the remainder when f is divided by 4.
2
Let n be 3 + 16/2 - 3. Suppose -u - u + t - n = 0, 0 = -2*u - 3*t - 24. What is the remainder when 13 is divided by 4/u - 69/(-9)?
6
Let n(w) = -34*w + 1. Let x(j) = 23*j - 1. Let z(r) = 5*n(r) + 8*x(r). Let v be z(-3). Calculate the remainder when (-2)/4*(v + 3) is divided by 11.
10
Let t = 19 + 4. What is the remainder when 91 is divided by t?
22
Suppose 3*p - 15 = -60. Let j = -9 - p. Calculate the remainder when (-49)/(-3) - (-2)/3 is divided by j.
5
Suppose f + 4*f - 30 = -o, -5*f - 110 = -3*o. What is the remainder when o is divided by 53/3 - (-1)/3?
17
Let y = 19 + -2. Calculate the remainder when 31 is divided by y.
14
Let i(w) = -w**3 + 8*w**2 - 3*w + 5. Suppose p + 3*r - 47 = -p, 0 = -2*p + 4*r + 40. Calculate the remainder when i(5) is divided by p.
21
Suppose 3*i - 6*i + 6 = 0. Suppose 0 = 7*m - 2*m - i*h - 27, -5*h = m. Suppose -w + 2*w - 13 = 0. Calculate the remainder when w is divided by m.
3
Suppose 0 = x + 3*p - 2, 4*x + 5*p + 8 - 44 = 0. Calculate the remainder when (26/(-1))/(1 - 2) is divided by x.
12
Suppose 2*h = -0*h + 72. Suppose -h = -2*m - m. Let l = m - -5. What is the remainder when l is divided by 6?
5
Let w(n) = n**3 - 10*n**2 + 2*n - 15. Let r be w(10). Suppose r*h = -0*i - 3*i + 47, -i - 3*h = -21. What is the remainder when 15 is divided by i?
6
Let f(c) = 3*c - 11. Let a be f(5). Let x = a + 9. Suppose -3*k + 0*k = -2*g + 70, -2*g = k - 78. What is the remainder when g is divided by x?
12
Suppose -5*r - j + 0*j = -102, -r - 2*j + 15 = 0. Calculate the remainder when r is divided by 6.
3
Let s(b) = b + 6. Let h be s(7). Suppose -z + h + 4 = 0. Let p = z + -5. Calculate the remainder when p is divided by 7.
5
Suppose -15 = -5*k + 100. What is the remainder when 53 is divided by k?
7
Suppose q = -4*p + 218, 0 = -2*p + 5*q + 63 + 57. What is the remainder when (396/p)/(3/10) is divided by 13?
11
Suppose 4*c - 32 = -0*c. Suppose -2*h + c*h - 78 = 0. What is the remainder when 22 is divided by h?
9
What is the remainder when (-2)/10*4*(-4 + -541) is divided by 73?
71
Let h(q) = -4*q**3 + 2*q**2 + 3*q + 1. Let z be h(-2). Suppose -5*i + 110 = z. Calculate the remainder when i is divided by -12*(2 + 16/(-6)).
7
Let i = 17 - 15. What is the remainder when 2 is divided by i?
0
Let p(c) be the first derivative of -c**3/3 + 4*c**2 + c - 9. What is the remainder when p(8) is divided by 1?
0
Suppose -4*l = -0*l - 348. Suppose 27 + l = 2*n. Suppose r - n - 2 = 0. Calculate the remainder when r is divided by 20.
19
Let y(x) = x + 9. Let o = 4 - 11. What is the remainder when 8 is divided by y(o)?
0
Suppose -5*d + 31 = 1. Calculate the remainder when 9 is divided by d.
3
What is the remainder when 34 - (2/5)/(8/80) is divided by 9?
3
Let u = -53 - -94. Calculate the remainder when u is divided by 11.
8
What is the remainder when (-2)/(-1 - (-82)/86) is divided by 6*(3 + (-1)/2)?
13
Let k = 6 + 8. Calculate the remainder when k is divided by 8.
6
Suppose -n = 5*c - 129, -5*n = -0*n - 2*c - 537. What is the remainder when n is divided by 28?
25
Let a(f) = 2*f**3 + 5*f**2 - 4*f - 1. Calculate the remainder when a(3) is divided by 29.
28
Suppose v = -3*v - a - 1, 0 = 3*a + 3. Suppose -4*g + 66 - 14 = v. Suppose -3*o = -89 + 17. Calculate the remainder when o is divided by g.
11
Suppose 12 = 2*m + m. Suppose 20 = 2*k + m*x, -5*x + 1 = -14. What is the remainder when 5 is divided by k?
1
Let x = -39 - -53. Calculate the remainder when x is divided by 2.
0
Let w = -13 - -48. Suppose 3*l = o + 61, -w + 4 = -l + 3*o. Calculate the remainder when l is divided by 0 + -1 + (1 - -