te the remainder when (48/56)/(2/42) is divided by 10.
8
Suppose p - 13 - 2 = 0. Suppose -r - 2*u - 13 = 0, -4*r + 0*u = 3*u + 77. Let b = r + 50. What is the remainder when b is divided by p?
12
Let f(a) be the second derivative of -a**3/6 - a**2 + 3*a. Calculate the remainder when 29 is divided by f(-10).
5
Let c(z) = -z**2 + 19*z + 26. What is the remainder when 16 is divided by c(20)?
4
Let w be (-6)/(-12)*(3 + -1). Let g be (-2)/4 - (-220)/8. Suppose a = -w + g. What is the remainder when a is divided by 9?
8
Let o = 78 - 62. Suppose -5 - 2 = -d. Suppose -45 = -d*b + 2*b. Calculate the remainder when o is divided by b.
7
Let q(g) be the first derivative of 2 + 2/3*g**3 + g**2 - 3*g. Calculate the remainder when q(3) is divided by 11.
10
Let r = -134 - -237. What is the remainder when r is divided by 15?
13
What is the remainder when 49 is divided by 71/4 + 9/(-12)?
15
Suppose -7*f = -11*f - 32. Let t = f + 19. Calculate the remainder when 20 is divided by t.
9
Let t(i) = -i**3 - i**2 - 4*i - 6. Calculate the remainder when 95 is divided by t(-3).
23
Let u(b) = -b - 5. Let f be u(-5). What is the remainder when 27 is divided by 15 - (0 - (f - 1))?
13
Let r(m) = m**2 - 3*m + 2. Let s be r(2). Suppose -3*x + s*x = -21. Calculate the remainder when 27 is divided by x.
6
Calculate the remainder when 27 is divided by (2 + 0)/(-2) - -6.
2
Let z(k) = k**3 - 4*k**2 - 8*k - 5. Let u(n) = -n**3 + 10*n**2 - 9*n + 6. Let i be u(9). What is the remainder when z(i) is divided by 10?
9
Suppose 3*p - 4*n - 20 = -0*p, -5*p + 5*n = -40. Let j be (3 + -2)*148*1. Suppose -4*o + j = 8. What is the remainder when o is divided by p?
11
Suppose -4*u + 6*u = -4*o + 174, 5*u - 25 = 0. Calculate the remainder when 77 is divided by o.
36
Let o(f) = f**3 + 9*f**2 + 7*f - 5. Let j be o(-8). Suppose 0*y - j*y = -21. Calculate the remainder when 20 is divided by y.
6
Suppose -h = -4*g - 81, -7*h + 2*h = -5*g - 345. Let z = h + -42. What is the remainder when z is divided by ((-36)/15)/((-3)/15)?
11
Let r = -12 - -18. Let j = 54 - 37. What is the remainder when j is divided by r?
5
Suppose -c + k - 2 = -k, -2*k - 2 = -3*c. What is the remainder when 7 is divided by c?
1
Let b = 1 + -7. Let k(y) = -y**2 - 6*y - 4. Let h be k(b). Calculate the remainder when 16 is divided by 4 + 1 - (h - -3).
4
What is the remainder when 131 is divided by (-68)/((-3)/1 + 2 - 1)?
29
Let y = -24 + 34. Let w be 34/y - 2/5. Let m = 8 - w. Calculate the remainder when 13 is divided by m.
3
Suppose -3*p + 166 = -8. Let u = -37 + 57. What is the remainder when p is divided by u?
18
Suppose 2*m + 22 = 2*r, -5*m + 37 - 101 = 4*r. Let u be 1/(-3) - 76/m. Suppose -u*f + 3*f + 9 = 0. What is the remainder when f is divided by 2?
1
Suppose 3*s = -2*v - 2*s + 34, -2*v = s - 18. Suppose v = t - 8. Calculate the remainder when 28 is divided by t.
13
Suppose 0*q + z + 27 = 5*q, 0 = z + 2. Calculate the remainder when 3*1 - (-7 + -4) is divided by q.
4
Suppose 75 = -a + 6*a. Let f(s) = -23*s + 9. Let v(y) = -8*y + 3. Let n(i) = 2*f(i) - 7*v(i). Calculate the remainder when n(3) is divided by a.
12
Let i = -107 + 131. Calculate the remainder when 94 is divided by i.
22
Let o = -48 + 71. What is the remainder when o is divided by 13?
10
Suppose -5*d - 10 = g, 5*d + 3 = -12. Calculate the remainder when 12 is divided by g.
2
Suppose -64 = -5*k - 19. Suppose 2*l - a = -k + 35, -3*a - 12 = 0. What is the remainder when 31 is divided by l?
9
Suppose -106 = 7*n - 323. What is the remainder when n is divided by 20?
11
Suppose -90 = -7*i + 5*i. Calculate the remainder when i is divided by 16.
13
Suppose -3 = 3*k - 4*l + 4, 4*k - 5*l = -8. What is the remainder when k is divided by 1?
0
Let l(h) = -4*h + 8. Let n(j) = -j**2 - 5*j - 9. Let g be n(-5). What is the remainder when l(g) is divided by 15?
14
Let u(z) = z**2 - 2*z - 3. Suppose 3*j + j - 4 = 0, -2*l + j + 7 = 0. Calculate the remainder when 13 is divided by u(l).
3
Let k(q) = -q**3 - 10*q**2 - 6*q + 14. Let b(o) = 6*o**2 + 3*o - 5. What is the remainder when k(-10) is divided by b(2)?
24
Let n = 11 + -1. Let h be (2/(-7))/(1/(-7)). Calculate the remainder when h/(1 + (-8)/n) is divided by 6.
4
Suppose 35 = -2*h + 7*h. Suppose -5*x - 250 = -5*i, -2*i + 78 = -x - 20. What is the remainder when ((-2)/4)/((-2)/i) is divided by h?
5
Let j = 4 + 0. Suppose t = 2*t - n + 3, 3*t - n = 1. What is the remainder when j is divided by t?
0
Suppose 0 = -6*g + 3*g + 21. Let q = 7 + 4. Calculate the remainder when q is divided by g.
4
Suppose 0 = -5*h + 5*j + 25, 4*h + 4*j - 25 = -5. What is the remainder when 28 is divided by h?
3
Suppose 0*n - n + 3 = 0. Suppose n = -o + 5. Let v = -3 - -4. What is the remainder when o is divided by v?
0
Let k = 11 - 6. Suppose -k = 3*v + 5*r, -4*r + 0*r = v + 11. What is the remainder when 19 is divided by v?
4
Let q be (-12)/8*(-32)/12. Suppose -h - q + 17 = 0. What is the remainder when 35 is divided by h?
9
Suppose -4*s - 15 = -219. What is the remainder when 200 is divided by s?
47
What is the remainder when (-2299)/(-95) - 2/10 is divided by 13?
11
Let p(d) be the first derivative of d**2/2 + d - 1. Let o be p(5). Suppose o = 3*i, -5*u + 4*i + 0*i + 122 = 0. What is the remainder when u is divided by 9?
8
Let t(n) = -4*n + 39. What is the remainder when 28 is divided by t(5)?
9
Suppose u + 3*n = 0, n + n = -5*u. Let t = u + -2. Calculate the remainder when t + 6 + (1 - 1) is divided by 2.
0
Let v(z) = -25*z**3 - z. Let d(h) = h - 5. Let a be (-3 - -1)/((-1)/2). Let j be d(a). Calculate the remainder when v(j) is divided by 9.
8
Suppose 3*h - 7*h = 4, 2*k + 5*h = 17. Calculate the remainder when k is divided by 6.
5
Suppose 4*w - 2*w - 8 = 0. Suppose 5*o - k - 200 = w*k, 3*o - 4*k = 115. What is the remainder when o is divided by 16?
13
Suppose 3*y - 5*q + 3 = 32, 0 = -4*y - q + 31. Calculate the remainder when y is divided by 2.
0
Suppose 4*f = -7*k + 4*k + 12, -8 = 4*f - 2*k. What is the remainder when 1/(1/55 - f) is divided by 19?
17
Suppose 3*z + 22 = n - z, -z - 13 = -n. Calculate the remainder when 19 is divided by n.
9
Suppose -l = -3*l + 12. Let t(r) = r**2 - 3*r. Calculate the remainder when t(l) is divided by 7.
4
Let p be 12/(6/16*1). Let o be (-50)/(-4)*p/20. Suppose 4*t = 2*t + o. What is the remainder when 29 is divided by t?
9
Suppose 0 = -0*a + a - 7. What is the remainder when 1*(-116)/(-4) + -2 is divided by a?
6
Let x(m) = 2 - 10*m + m - 2. What is the remainder when 26 is divided by x(-1)?
8
Let p(r) = -r + 8. Let w be p(4). Suppose 173 - 1 = w*d. What is the remainder when d is divided by 23?
20
Let b(a) = -a**3 + a. Let v(p) = -4*p**2 - 4*p + 4. Let y(j) = 2*b(j) + v(j). Calculate the remainder when y(-4) is divided by 26.
24
Let p = -6 - -10. Suppose 11 + 2 = 5*q - t, 0 = p*q - 4*t - 20. Calculate the remainder when 3 is divided by q.
1
Suppose -3*a + i + 4 = -0*i, -i = -a. Calculate the remainder when 2 is divided by a.
0
Suppose t + 3*j - 12 = 4*t, -2*j = 5*t + 13. Let z(q) = 1. Let y(i) = -i + 3. Let s(k) = t*y(k) - 3*z(k). Calculate the remainder when 53 is divided by s(10).
17
Suppose 4*b - a = 32, 5*b - a - 33 = 6. What is the remainder when 12 is divided by b?
5
Let r = 384 + -233. Calculate the remainder when r is divided by 14.
11
Let d(k) = -k**2 + k + 4. Let y be d(4). Let t(s) = -s**2 - 8*s + 10. Calculate the remainder when 39 is divided by t(y).
9
Suppose 4*s = -4*y + 3*s - 7, -2*y = -5*s + 9. Calculate the remainder when y/2 + 3*15 is divided by 15.
14
Let r = -44 - -146. Suppose 0 = -2*p + r + 20. Calculate the remainder when p is divided by 21.
19
Calculate the remainder when 1/(-2)*(-77 - -1) is divided by 7.
3
Let f = 16 + -42. Let a = -16 - f. What is the remainder when 28 is divided by a?
8
Let z be 5*1 - 1/(-1). What is the remainder when 32 is divided by 105/9 + (-4)/z?
10
Suppose -3*b - 5*r + 0*r = 45, -4*b + r - 37 = 0. Let m(u) = u**2 + 5*u - 9. What is the remainder when m(b) is divided by ((-3)/6)/(2/(-44))?
8
Let t = -26 - -33. What is the remainder when 13 is divided by t?
6
Let l(t) = -7*t**3 + 3*t + 3. Calculate the remainder when l(-2) is divided by 18.
17
Suppose 0 = -7*y + y + 72. Let m = 50 - 16. What is the remainder when m is divided by y?
10
Let i = -14 - -34. Let v(j