he remainder when a(0) is divided by 12?
11
Let z(u) = -2*u**3 + u**2 + u. Let h be z(-1). Let d be (1 + h)/((-24)/(-16)). Suppose 37 = d*p + 5. Calculate the remainder when 30 is divided by p.
14
Let n be (-4)/(-6)*(-27)/(-6). Let v = 26 - n. Suppose -3*u = -b - v - 27, 5*b - 20 = 0. What is the remainder when u is divided by 10?
8
Let n(z) = z**3 + 2*z**2 + 2*z + 1. Let h be n(-1). Let o = h - 0. Let q(f) = -f + 3. Calculate the remainder when q(o) is divided by 2.
1
Suppose -3*k = -20 - 4. Let c = 34 - 31. Calculate the remainder when k is divided by c.
2
Let c(m) = m**3 + 6*m**2 - 2*m - 6. Calculate the remainder when (3 + (-9)/(-6))*2 is divided by c(-6).
3
Let p be -1 + 1 + 9 + -2. Let q(i) = i**2 - 7*i + 3. Let r be q(p). Calculate the remainder when (0/r - -2) + 7 is divided by 5.
4
Let j(h) = 3*h + 1. What is the remainder when j(7) is divided by 6?
4
Suppose -5*j + 297 - 47 = 0. Let f(l) = l**3 + 5*l**2 + 3*l. Let d be f(-2). Let x = d - -11. Calculate the remainder when j is divided by x.
16
Let d = -34 - -49. Suppose 3*l - d = 0, -3*y - l + 123 = 2*l. What is the remainder when 46 is divided by (-292)/(-18) + (-8)/y?
14
Let w be (-2 + 3 + -2)*-68. Let t = 98 - w. What is the remainder when t is divided by 8?
6
Let i = -93 - -155. Suppose 5*c = i - 2. What is the remainder when 22 is divided by c?
10
Calculate the remainder when 23 is divided by -2 - ((1 - 12) + 3).
5
Suppose 0 = 4*s + 3*v - 120, 2*v - 55 - 95 = -5*s. Calculate the remainder when s is divided by 16.
14
Suppose -7*x = -2*x + 3*y - 109, 3*x = 2*y + 54. What is the remainder when 77 is divided by x?
17
Calculate the remainder when ((-201)/6)/(3/(-6)) is divided by 14.
11
Suppose 728 = -k + 193. Suppose -112 = -2*v - 2*v. What is the remainder when v is divided by (-4)/14 + k/(-35)?
13
Suppose -2*j + 3*x = -36, -3*x - 2 + 14 = 0. What is the remainder when 44 is divided by j?
20
Let k be 4/22 + (-256)/(-44). Let s = -5 + k. Suppose 20 = w - s. What is the remainder when w is divided by 8?
5
Suppose -12*r = -18*r + 162. What is the remainder when r is divided by 10?
7
Suppose -i = 4*i. Suppose c + 10 - 30 = i. Calculate the remainder when 58 is divided by c.
18
Suppose 25 = 4*v + v, 257 = 4*n + v. What is the remainder when n is divided by 17?
12
Let m = 4 + 0. Suppose 5*b = -m*t - 21, 3*t = -2*t - 2*b - 39. What is the remainder when (114/t)/((-6)/9) is divided by 5?
4
Let s(h) = h**3 - 6*h**2 - 6*h + 5. Let d = 13 + 20. Suppose d = -4*o + 5*o. What is the remainder when o is divided by s(7)?
9
Let v(l) = -l**3 - 15*l**2 - l - 11. Let d be v(-15). Suppose d*c - 45 = -1. Calculate the remainder when c is divided by 5.
1
Let j(r) = -r - 2. Let d be j(4). What is the remainder when (-3)/2*184/d is divided by (-234)/(-15) - (-4)/10?
14
Let h(o) = 2*o**3 - 4*o**2 - 2*o + 3. Calculate the remainder when 43 is divided by h(3).
13
Let q(a) = a**2 + 3*a + 4. Let z be q(-3). Suppose 0*w = -2*w + z. What is the remainder when w is divided by 2?
0
Let t(g) = 18*g**3 + 1. Calculate the remainder when t(1) is divided by 6.
1
What is the remainder when 95 is divided by (59 - -1)*2/5?
23
Let l = 21 - 2. Calculate the remainder when l is divided by 6.
1
Suppose -2*a + 66 = 6*l - l, -5*l - 99 = -3*a. Suppose -3*i - 2*t + 293 = 0, 4*t - 393 = -4*i - t. What is the remainder when i is divided by a?
31
Let i(r) = -r - 12. Let y be i(-6). Let d = 17 + y. What is the remainder when 21 is divided by d?
10
What is the remainder when 56 + (-5)/(3 - 4) is divided by 13?
9
What is the remainder when (8/(-12))/((-1)/27) is divided by 5?
3
Let v(u) = u + 1. Let i be (-1 - 1)/(2/(-4)). What is the remainder when (-5)/((-15)/48) - -2 is divided by v(i)?
3
Suppose 2*n - 100 = -22. Let r(u) = -u**3 - 4*u**2 - 2*u + 2. What is the remainder when n is divided by r(-4)?
9
Suppose -4*s - 4*s + 16 = 0. Calculate the remainder when 5 is divided by s.
1
Let u(k) = -k**2 + k + 11. Suppose -2*l - 5*p - 25 = -7*l, -4*p = 5*l + 20. Calculate the remainder when u(l) is divided by 6.
5
Let p = 3 - -11. What is the remainder when 68 is divided by p?
12
Suppose p - 6 = -3. Suppose -p*r + 8 = 2. What is the remainder when 5 is divided by r?
1
Let w = 3 + -1. Suppose g + 3 = -3*d, 3*g + 3*d = g + 6. Calculate the remainder when g is divided by w.
1
Let o(s) = 6*s - 8. Suppose -23 = -3*r - 5. Calculate the remainder when o(r) is divided by 16/40 + (-146)/(-10).
13
Let p = -26 - -63. Let y = -29 + 71. Suppose -4*t + t = -2*u + 20, 5*t + y = 4*u. Calculate the remainder when p is divided by u.
11
Let m(l) = 3*l - 12. Calculate the remainder when m(6) is divided by 3.
0
Suppose -2*s - 5*k + 64 = -50, 0 = s + k - 60. What is the remainder when 118 is divided by s?
56
Let v = 7 + -9. Let l = 3 + v. What is the remainder when 8/6 - 1/3 is divided by l?
0
Calculate the remainder when ((-1)/2)/(11/(-990)) is divided by 12.
9
Let o = 21 + -2. Calculate the remainder when o is divided by 5.
4
Suppose y + 2*i - 13 = 0, 4*i = -5*y - i + 60. Calculate the remainder when y is divided by 7.
4
Suppose 3*t = 5*i, -3*t - 5*i + i = 0. Suppose t*b - 20 = -2*b. Calculate the remainder when 17 is divided by b.
7
Suppose 5*j + 3*h = 795, 3*j - 2*h - 453 = h. What is the remainder when (10/(-4))/((-13)/j) is divided by 11?
8
Suppose 4*u - 73 = -n - 0*n, 31 = u - 4*n. Suppose -f + u = -3*z, 3*z - 6*z = f + 11. Suppose 0 = -f*c + 29 + 11. What is the remainder when c is divided by 6?
4
Suppose q + q + 50 = 0. Let f = q - -47. What is the remainder when f is divided by 12?
10
Suppose 3 = -2*x + 13. Suppose 0*p = -p + 1, x*o + 5*p - 75 = 0. Calculate the remainder when 26 is divided by o.
12
Let b = 217 - 154. What is the remainder when b is divided by 22?
19
Let x = 90 - 72. What is the remainder when x is divided by 10?
8
Suppose -150 = -5*o - 0*o. Let j = -3 + o. What is the remainder when j is divided by (21/(-4))/(6/(-16))?
13
Suppose s - 30 = -4*s + 5*o, 0 = -5*s + 2*o + 27. Suppose -2*y + 5*y = -5*d + 65, s*d = -y + 15. What is the remainder when y is divided by (-2 - -9) + 4/2?
7
Let y(j) = -25*j + 1. Let d be y(-2). Suppose -11 = -2*r + 3*k + 63, r - d = -2*k. What is the remainder when r is divided by 22?
21
Suppose -3*c + c + 4*r = -8, r + 22 = 3*c. What is the remainder when 13 is divided by c?
5
Suppose -4*x + c + 53 = 0, -2*x - c = -5*x + 40. Calculate the remainder when 87 is divided by x.
9
Suppose 3*h = -99 + 105. Suppose -p = -4*p + 6. What is the remainder when h is divided by p?
0
Let m(x) = -x**2 + 7*x + 4. Let o be m(7). Let h be (-2)/(-8) + 327/o. Suppose 0 = -2*u + h - 32. What is the remainder when u is divided by 9?
7
Suppose -2*f + 2 = -2*q - 3*q, -4*f + 32 = 4*q. Suppose -145 = -f*k + k. Calculate the remainder when k is divided by 8.
5
Suppose 4 = 5*b + 4*r + 1, 2*r = -3*b + 3. Let y be 1 - -3*3/(-9). Suppose y = 3*w - 15 - 6. What is the remainder when w is divided by b?
1
Suppose -3*m + 3 = -156. What is the remainder when m is divided by 28?
25
Let z(j) = 4*j**2 + 2*j + 2. Let k(v) be the first derivative of -41*v**4/4 - v**3/3 - v**2/2 + 2. Calculate the remainder when k(-1) is divided by z(-2).
13
Let h(o) = -6*o - 1. Suppose -a - 2*y = -0*y + 10, 0 = -4*a - 3*y - 20. Calculate the remainder when 21 is divided by h(a).
10
Suppose 0*v = v - 4*u - 25, 4*v = 4*u + 76. Calculate the remainder when v is divided by 5.
2
Let f = 25 + 14. Calculate the remainder when 75 is divided by f.
36
Let j(u) = 12*u - 4. What is the remainder when 39 is divided by j(2)?
19
Suppose -6*w = -5 - 25. What is the remainder when 18 is divided by w?
3
Suppose 0 = -3*p - p + 20, 2*z + 3*p = 161. Let j = -40 + z. Calculate the remainder when j is divided by 12.
9
Let c(z) = -z**3 + 10*z**2 + 6*z - 9. What is the remainder when 150 is divided by c(10)?
48
Suppose 3*h - 3 = -3*w, w - 3*h = -w - 3. Suppose z - 19 = -w*z. What is the remainder when z is divided by 10?
9
Suppose -2*i - 5*u + 4 - 2 = 0, 2*u + 4 = 0. Calculate the remainder when 14 is divided by i.
2
What is the remainder when 38 + 1*(0 + -1) is divided by 19?
18
Suppose g = -g + 30. Suppose 0 = -q + 2 + g. What is the remainder when q is divided by 5?
2
Let n(p) = 3*p - 9. Let v be n(4). Suppose 0 = 5*o + 5*a - 215, v*a + 153 = 3*o - 0*a. What is the remainder when o is divide