5/6 - k. Calculate the common denominator of x and 1/(-2) + 194/(-8).
12
Let n(z) = -z**3 - 12*z**2 - 2*z - 4. Let h be 5*18/(-15)*2. What is the lowest common multiple of n(h) and 14?
140
Suppose -18 = -3*b + 5*m, 5*m = 5*b - 16 - 4. Let s be (b - 4)/((-9)/24). Find the common denominator of -41/10 and 1/(-1) + (-39)/s.
40
Let t(u) = u**3 - 10*u**2 + 9*u. Let q be t(9). Suppose q = 4*w - 0*w - 32. Calculate the smallest common multiple of 4 and w.
8
Suppose 6*i - 5 = 13. Suppose 0 = -i*r + 2*r + 9. What is the lowest common multiple of 3 and r?
9
Let i(r) = -r - 2. Let h be i(5). Let o = h + 12. What is the lowest common multiple of 2 and o?
10
Let d(y) = -y**3 + 4*y**2 + 7*y. Let k = -2 - -7. Suppose 26 + 30 = 4*p. Calculate the lowest common multiple of p and d(k).
70
What is the common denominator of 31/48 and (5 - 6) + (-4)/((-32)/21)?
48
Let j be (-18)/4*3832/(-6). Let w = -17359/6 + j. Let s = -4/6193 - -538831/61930. Find the common denominator of s and w.
30
Let q = 81 + -41. What is the smallest common multiple of 20 and q?
40
Let d(m) = -3*m**2 - 2*m + 4. Let p be d(4). Let n = 118 + p. Suppose -4*s + n = v, 3*s + 3*v = -0*v + 54. What is the smallest common multiple of s and 2?
16
Let w(b) = b**3 - 3*b**2 + 2*b + 2. Let f = -7 - -14. Suppose -j + 2*j - 3*q = -f, -2*q = -3*j. What is the least common multiple of w(3) and j?
8
Let m be (-3129512)/(-36)*2/(-28712). Let w = m - 2/10767. What is the common denominator of -5/6 and w?
18
Suppose -v = v + 70. Let u = 10315/952 - 25/119. What is the common denominator of u and v?
8
Let w = -74 + 88. Suppose -3*z + k + 8 = 0, 3*k - 1 = 4*z - 5. Calculate the least common multiple of w and z.
28
Let z = 12 - 8. What is the smallest common multiple of (3 - 24/5)/((-6)/20) and z?
12
Suppose -8*z - 19 = -3*d - 3*z, -11 = -d - 3*z. What is the least common multiple of d and 6?
24
Suppose 0*s - 2*s + 14 = 0. Calculate the common denominator of -27/8 and s/2*(-114)/(-14).
8
Let o = 34337/8 + -4302. Let w = 805 + -2473/3. Calculate the common denominator of o and w.
24
Let x be (-3 + 5)/(1/2). Suppose x*k + 16 = 56. What is the least common multiple of 6 and k?
30
Let z = 6/642359 - 246025093/170867494. Let s = z - -11/133. Find the common denominator of s and 15/4.
28
Let g be 8/(-130) - 2/(-10). Let n = 5/464442 - -23263997/30188730. Let y = n + g. What is the common denominator of -53/11 and y?
11
Let b(i) = i**2 - 10*i + 2. What is the least common multiple of 5 and b(10)?
10
Let x = 7/1174 - -8473/6457. What is the common denominator of x and -69/8?
88
Let c(p) = 16*p. Let r(g) = g. Let v(s) = c(s) - 12*r(s). What is the least common multiple of (-19)/(-2) + 4/8 and v(2)?
40
Let d be 37/1 + (-1)/1. Suppose -m = 2*m - d. Let r(y) = y**3 + 6*y**2 + 4. Calculate the smallest common multiple of m and r(-6).
12
Let p = 72 + -60. Calculate the least common multiple of p and 24.
24
Let u be 1/5 + 150942/140. Let k = -2410 - -3492. Let x = k - u. What is the common denominator of x and -45/8?
56
Let q = -118 + 231/2. What is the common denominator of q and 28/9?
18
Let u(g) = g + 1. Let b be u(2). What is the smallest common multiple of 3 and (5 - 4) + (b - -1)?
15
Let c = 18 + -14. Suppose 0 = -3*k + 2*j + 26, c*k = 3*k - 5*j + 20. Calculate the lowest common multiple of k and 20.
20
Calculate the smallest common multiple of 8 and (-8)/2 + 28 + -16.
8
Let i = 5265/7 - 53343/70. What is the common denominator of i and 7/55?
110
Let d be 531/(-21) + (-8)/(-28). Let v = d - -47. Calculate the lowest common multiple of 6 and v.
66
Let u be (-30)/(-4) + 9/(-6). Calculate the lowest common multiple of 22 and (-3)/u*0 - -4.
44
Let p = -3143846/371 - -8474. Let i = p + -36019/1484. Calculate the common denominator of i and -31/5.
20
Suppose -6 = 3*i - 0. Let o = 0 - i. Calculate the smallest common multiple of o and 12.
12
Let g = 16157371/14 + -1152996. Let d = g - 1095. Calculate the common denominator of -89/22 and d.
154
Let d(b) = -b + 6. Let j be d(7). Calculate the common denominator of 34/9 and (8 - j)*(-3)/(-10).
90
Let w = 451/120 + -17/15. Find the common denominator of w and ((-222)/(-22))/(-3) - 1.
88
Let t(p) = -p**3 + 5*p**2 + 5. Let n be t(5). Let q be 4/(-8) + 10/4. Suppose j + q = n. Calculate the smallest common multiple of j and 1.
3
What is the common denominator of -37/6 and -3 - 11/(-4) - (-34)/4?
12
Suppose 2*k - 12 = 3*u, -2*k + 0 = -2*u - 14. Let p = k + 0. Calculate the smallest common multiple of p and 1.
9
Let q = -53 - -54. Calculate the least common multiple of 6 and q.
6
Let y = -32 - -16. Find the common denominator of y and 94/(-60) - 2/(-5).
6
Suppose -4*w = -5*w - 4*o + 1, -3*w - 5*o = -10. Suppose -4*f + 4*l + 9 = -15, -3*f + 4*l + 22 = 0. What is the least common multiple of f and w?
10
Let p be (-10)/(-65) + (-1749)/130. Let a = p + 1/20. Calculate the common denominator of -149/6 and a.
12
Calculate the common denominator of 13/2 - (-3)/3 and (-25)/2*18/(-80).
16
Let r be (14609 - -2)*1/(-6). Suppose 5*a - 25 = 0, 2*k + k + 7297 = 5*a. Let s = r - k. What is the common denominator of s and -46?
6
What is the common denominator of -69/4 and (-47)/(-15)*(-10)/(-4)?
12
Suppose 2*w - 3*u = 0, -2*w - 2 = 4*u - 16. Let q(h) = -h**w + 5*h - 5 + 0*h**3 + h**2 - 4*h**2. Calculate the smallest common multiple of 16 and q(-5).
80
Let u = -1438 - -14303/10. Find the common denominator of (-4 - 2/26) + 0 and u.
130
Suppose 5*g + 4 = -6. Let l(s) = s - 10. Let c be l(5). Calculate the common denominator of 23/2 and (324/(-40))/(g/c).
4
Suppose 2*t - 4*t = 0. Let l(f) = f + 11. What is the smallest common multiple of 3 and l(t)?
33
Let d = -21 - -22. Let m(t) = 11*t**2 - 3*t + 1. Suppose -5*p = -4*l + 43, 0*l - 3*l = -4*p - 33. Calculate the smallest common multiple of l and m(d).
63
Let j = 2740/3 - 897. Let h = 621 + -4332/7. What is the common denominator of j and h?
21
Let z = -11/47 - -3751/564. Find the common denominator of z and 133/24.
24
Let t = 7 - 11. Let i be t/6*(-153)/6. Let q = i - 9. What is the smallest common multiple of 22 and q?
88
Let i(z) = -z**3 + 2*z**2 + 5*z - 2. Calculate the least common multiple of i(3) and 2.
4
Calculate the least common multiple of 4 and (-8)/(-40) - (-838)/10.
84
Find the common denominator of 1 + -14*(-44)/144 and -65/18.
18
Let d = 139/15 + -5057/570. Calculate the common denominator of -109/20 and d.
380
Let v = -1232 - -6137/5. What is the common denominator of -27/26 and v?
130
Let n(h) be the first derivative of 1/4*h**4 + 1 + 22*h - 1/2*h**2 - 1/3*h**3. Calculate the least common multiple of 18 and n(0).
198
Let b(g) = 3*g**2 + 12*g - 1. Let j(n) = 2*n**2 + 6*n. Suppose 3*y = -0*y - 9. Let k(x) = y*b(x) + 5*j(x). Calculate the least common multiple of k(7) and 9.
90
Suppose -4*v + 30 = -9*v. What is the lowest common multiple of (-9)/v - 3/(-2) and 4?
12
Let t = -6/311 + 18983/622. What is the common denominator of t and 69/2?
2
Suppose -w - 36 = -4*p - 196, 0 = 4*p - 8. Calculate the lowest common multiple of w and 10.
840
Let g = 26233/18120 - -8/755. Find the common denominator of g and -19/18.
72
Let o be (12134/(-216))/((-4)/(-6)). Let i = -782/9 - o. Find the common denominator of 3/16 and i.
16
Let k(d) = 7*d**2 + d. Calculate the lowest common multiple of 4 and k(-1).
12
Let s = -11 + 33. What is the least common multiple of s and 8?
88
Let d be 30/8 - (-3)/12. Let l be 3*-5*2/(-6). Suppose -l*h - 2*u + 40 = 3*u, -d = -h + u. What is the smallest common multiple of h and 9?
18
Suppose 4*g - 2*g = -156. What is the common denominator of -74/9 and (g/15)/(-7 - -3)?
90
Let i = -117 + 495/4. Calculate the common denominator of 21/32 and i.
32
Suppose 0 = 15*w - w - 56. Calculate the least common multiple of w and 9.
36
Suppose 4*x = 13*x - 54. What is the least common multiple of 18 and x?
18
Suppose -6*j + 42 = -6. What is the smallest common multiple of j and 11?
88
Let q be ((-13)/30)/(6/9369). Let i = q + 682. Find the common denominator of 93/4 and i.
20
Suppose j = -2*j + 2*y - 2957, 2*y - 4935 = 5*j. Let x = 9823/10 + j. Calculate the common denominator of 1/6 and x.
30
Let t(k) = k - 4. Let r be t(6). Let x = 121793/11170 + -4/1117. Calculate the common denominator of x and (-291)/(-2)*r/66.
110
Let l(v) be the t