 when 199 is divided by ((-21)/4)/(288/(-1920))?
24
Suppose 21 = 8*g - 7*g. Let k = g - -12. What is the remainder when k + (-9)/((-45)/(-20)) is divided by 6?
5
Calculate the remainder when 37 is divided by ((-20)/(-15))/((-4)/(-30)).
7
Suppose 9*i - 27*i = -450. Suppose -k + 92 = 18. What is the remainder when k is divided by i?
24
Let p = 370 - 360. Calculate the remainder when p is divided by 5.
0
Suppose t = 4*n - 93, -5*n - 2*t + 132 = 2*t. What is the remainder when 110 is divided by n?
14
Suppose -a + b + 29 = 3*a, -5 = b. Suppose -a*n + 35 = -n. What is the remainder when 331/n + 36/(-126) is divided by 16?
15
Suppose 2*d - o - 1 = 9, 3*d + 3*o - 24 = 0. Let x be (d/(-4) - -2)*14. Suppose 0 = j + x - 22. Calculate the remainder when j is divided by 9.
6
Let s(y) = y**3 - y**2 - 1. Suppose 7*u - 24 = 5*u. What is the remainder when u is divided by s(2)?
0
Suppose 0 = -2*m - 3*y + 19, 3*m - 108*y = -109*y + 32. What is the remainder when 345 is divided by m?
4
Let m(j) = 2*j**2 + 11*j. Let z be m(-6). Suppose 4*i = 4*y - 96, -2*i - i = z. Suppose -y*s + 24*s = 6. Calculate the remainder when 17 is divided by s.
2
Suppose 7*i = -12*i + 266. What is the remainder when 26 is divided by i?
12
Let x(d) = d**3 - 28*d**2 + 162*d - 19. Suppose 3*f + f - 236 = 0. What is the remainder when f is divided by x(20)?
17
Let a(z) = 4*z - 3. Let p be a(-4). Let n = p - -45. Let l(b) = -b**2 + 4*b + 14. Calculate the remainder when n is divided by l(4).
12
Suppose 2*a - 5*f = 2278, 17*a - 5*f + 4586 = 21*a. What is the remainder when a is divided by 37?
34
Suppose g = 3*j + 28, 2*g = -4*j - j + 23. Suppose -5*d - g = -6*d. Calculate the remainder when d is divided by 7.
5
Suppose 0 = 35*z - 5*z - 330. What is the remainder when 71 is divided by z?
5
Let a(x) = 20*x + 269. Suppose -r - 37 = -4*m - 2*r, 3*m - r - 33 = 0. What is the remainder when a(-11) is divided by m?
9
Let z = -3152 + 4513. Let y = 105 - z. Calculate the remainder when 45 is divided by (-8)/52 + y/(-52).
21
Let t(n) = n - 9. Let a = 62 + -60. Calculate the remainder when t(14) is divided by a.
1
Let x(q) be the second derivative of -1/20*q**5 - 1/6*q**3 + 0 - 7*q - 1/2*q**2 + 0*q**4. What is the remainder when x(-2) is divided by 4?
1
Let d = 179 - 164. Let y be 6/27 - (-16)/9. Suppose y*b = b + 4. Calculate the remainder when d is divided by b.
3
Let v = 41 + -33. Let q(d) = d + 14. What is the remainder when q(v) is divided by 4?
2
Let c = -1125 - -1148. What is the remainder when c is divided by 15?
8
Let v = -119 + 227. What is the remainder when v is divided by 19?
13
Suppose 30*l - 19 = 29*l. Let b be (l/(-2) - -4)*2. Calculate the remainder when (1/(-3))/(b/660) is divided by 7.
6
Suppose -4*k + 3*r + 18 = 5*r, 3*k + 19 = 5*r. Suppose -5*b + k*b = -36. What is the remainder when 33 is divided by b?
9
Suppose -6*y = 64 - 4. Let w(s) = s**3 + 10*s**2 + 2*s + 14. Let q be w(y). Let t = 19 - q. What is the remainder when t is divided by 9?
7
Let r = -310 + 319. Calculate the remainder when 123 is divided by r.
6
Suppose 32*d = -t + 36*d - 3, 5*t + 2*d - 29 = 0. Suppose 2*g = 3*z + 33, 3*g + 2*g + 4*z = 25. What is the remainder when g is divided by t?
4
Let t(v) = -27*v + 14*v + 11*v + 29. Let h be t(13). Suppose -h*o - 11 = -4*o. Calculate the remainder when 30 is divided by o.
8
Let f(h) = -4*h + 12. Suppose g - 1 = -7. What is the remainder when f(g) is divided by 21?
15
Let s = -7 + 9. Let i be -12*3/(s + -8). What is the remainder when (-1968)/(-36) - (-2)/i is divided by 14?
13
Let j = -47 + 60. Calculate the remainder when 100 is divided by j.
9
Let c be -7 - (-3 - 2) - -1. Let b(m) = -111*m + 2. What is the remainder when b(c) is divided by 32?
17
Suppose 0 = -9*j + 27 + 9. What is the remainder when 28*(j + -1) + 2 is divided by 22?
20
Suppose y = -n - 31, 0 = -0*y - 2*y - 3*n - 62. What is the remainder when 22 is divided by (-17)/(-68) - y/4?
6
Let b(h) = -h**2 - 11*h + 48. Suppose -5*q = 1 + 69. Calculate the remainder when 19 is divided by b(q).
1
What is the remainder when 6*(-1)/2 - (-1694 + 1) is divided by 47?
45
Suppose 0 = 3*b - c - 4, b - 6 = -2*c - 14. Let m = b + -2. Let p = m + 27. What is the remainder when p is divided by 9?
7
Suppose -569 = -9*p - 344. Let u(i) = 3*i**2 - 11*i - 6. What is the remainder when u(8) is divided by p?
23
Let p(w) = -254*w - 1. Calculate the remainder when p(-2) is divided by 167.
6
Suppose -4*u + 20 = -a, 4*u - 25 = -u + a. Suppose u*z - 3 = 447. Suppose 3*c - z = -0*c. What is the remainder when 88 is divided by c?
28
Let z(q) = -3*q - 2. Suppose -3*d - 14 = -2. Let v be z(d). Suppose -8*t + 6*t = -v. Calculate the remainder when 12 is divided by t.
2
Let s(p) = -p**2 - 7*p - 8. Let w = 10 + -16. Let d be s(w). Calculate the remainder when 59 is divided by (d/(-6))/((-3)/(-108)).
11
Let d(s) = -11*s + 163. Calculate the remainder when d(8) is divided by 17.
7
Suppose -3*m + b + 1 = -10, 0 = -5*m + 2*b + 20. Let s be (m - 0) + (-3 - 4). What is the remainder when 2 is divided by (s/((-15)/(-12)))/(-2)?
0
Suppose 2*u - 5*u - 23 = -2*d, 0 = 4*u + 20. Suppose 4*t = 2*t + x + 21, d*t + 5*x - 7 = 0. Calculate the remainder when 20 is divided by t.
4
Let a = 5 - -1. Let n(q) = 12*q - 5*q - a*q + 3. What is the remainder when 23 is divided by n(5)?
7
Let y(n) = 8*n**3 - 6*n**2 + 4*n - 2. Calculate the remainder when y(2) is divided by 8.
6
Let p be 4 + (11 + 1)/(-4). Let d(y) = 30*y**2. Let x be d(p). Suppose 3*l + 5*f - 60 = -2*l, -5*l + x = -f. Calculate the remainder when 18 is divided by l.
4
Let k = 171 - 164. What is the remainder when 18 is divided by k?
4
Let a(c) = 13*c + 17. Calculate the remainder when 116 is divided by a(0).
14
Let z be 2*(-2)/3*-9. Let a be 6/(-8) + (-15)/z. Calculate the remainder when -3 + 6 + 12 + a is divided by 7.
6
Let d(z) = 3*z**2 + 46*z + 13. Calculate the remainder when d(-18) is divided by 10.
7
Let w be (-5)/(-2) + 3/6. Suppose q - 238 - 2 = 5*d, 5*d + 5*q + 240 = 0. Let o = w - d. What is the remainder when o is divided by 26?
25
Suppose 0*p + 2*p = 46. Suppose 246*s + 450 = 252*s. What is the remainder when s is divided by p?
6
Suppose 3*l - 3*j = 102, -5*j = 4 + 11. Let t = 20 + -12. Suppose -2*d + 4*b - t = -d, -d - 5*b + 28 = 0. Calculate the remainder when l is divided by d.
7
Let y(u) = u**3 + 2*u**2 + u + 4. Let v be y(-2). Suppose 3*a - 6 = 3*o - 66, -v*a = o - 8. What is the remainder when o is divided by 6?
4
Let j = 81 - 33. Calculate the remainder when j is divided by (70/(-8) - 1)/((-306)/816).
22
Let y(l) = 11*l + 156. What is the remainder when 110 is divided by y(-12)?
14
Let w(s) = -4*s + 4. What is the remainder when 138 is divided by w(-11)?
42
Let q(z) = -z**3 + 4*z**2 + z - 1. What is the remainder when (72 + -83)*1*-3 is divided by q(2)?
6
Suppose -7*l - w + 268 = -2*l, -46 = -l - 4*w. Suppose 22*p = 23*p - l. What is the remainder when p is divided by 22?
10
Calculate the remainder when ((-42)/(-35))/((-15)/(-4625)) is divided by 7.
6
Let b = -1370 - -1457. What is the remainder when 415 is divided by b?
67
Let l(x) = x**2 + 8*x + 3. What is the remainder when l(-10) is divided by 13?
10
What is the remainder when 441 is divided by 4 + 1 + (-2465)/(-85)?
33
Suppose 5*u + 35 = c, -4*c + 3*u - 4*u = -56. Calculate the remainder when 43 is divided by c.
13
Suppose 33*v - 31*v - 42 = 0. What is the remainder when 81 is divided by v?
18
Let i(f) = -5*f + 8. Let h(p) = p - 1. Let z(w) = 2*h(w) - i(w). Let r(n) = n - 1. Let u(b) = -2*r(b) + z(b). What is the remainder when 61 is divided by u(8)?
29
Let w = 1535 - 1220. Calculate the remainder when w is divided by 53.
50
Suppose 37*q - 50 = 34*q + 2*t, 2*t + 8 = 0. Calculate the remainder when 95 is divided by q.
11
Let f(l) = -4*l + 326. Calculate the remainder when 200 is divided by f(69).
0
Suppose 4 = 4*w - 4*p, -2 = -w + 2*p - 6. Suppose 3*o + 3 = 84. Calculate the remainder when o is divided by w.
3
Let k(v) = v**3 + 5*v**2 + 4*v + 3. Suppose 0*s + 5*s + 20 = 0. Let z = 2 + 4. Calculate the remainder when z is divided by k(s).
0
Let i = -302 + 325. Let h(d) = 3*d**2 + 6*d + 3. Let v be h(-4). Let s = -19 + v. What is the remainder when i is divided by s?
7
Suppose 0 = -3*j - 8*j + 286. Calculate the remainder when 68