93/310 + o. Let d = v + -10450. What is the common denominator of -53/11 and d?
110
Let o = -6 - -5. What is the common denominator of (o/(-4))/((-3)/6) and -123/10?
10
Let h = 24 - 21. Let o = 1 + 6. Calculate the lowest common multiple of h and o.
21
Suppose f + 328 = 5*f. Calculate the least common multiple of f/8 + 2/(-8) and 5.
10
Let p = 54 + -30. What is the common denominator of -2/5 and (2/p)/(3/(-150))?
30
Let y(r) = r**3 - r**2 + r + 10. Let n(g) = -g**3 + g**2 - g. Let x be n(0). Suppose -1 = -l - x. Calculate the smallest common multiple of y(0) and l.
10
Suppose 4*n - o = -3 + 15, 0 = 4*o - 16. Let w(h) = -h**2 + 2*h - 1. Let p be w(n). Find the common denominator of 89/10 and (147/45)/(3/p).
10
Let n = 741 - 11823/16. Find the common denominator of n and 79/20.
80
Suppose -2*p + 3*v = -p - 8, p - 4*v = 7. Let z = 46 - 25. Suppose -4*q = 4*j + q - z, 3*j = -2*q + 14. What is the least common multiple of j and p?
44
Let w = 14/89 - 4969/1602. Suppose -2*a + a + 4 = 0. Find the common denominator of (-14)/(-12) + -4 + a and w.
18
Let t(h) = 6*h. Let s be t(3). Suppose 2*u + u - s = 0. Suppose -5*i + 3*n - 2 = 0, 4*i + n - 16 = -n. What is the smallest common multiple of i and u?
6
Let r = -1180 - -9379/8. Calculate the common denominator of 23*((-3)/33)/(-1) and r.
88
Let r = 27 + -3. Let n = 37 - r. Calculate the lowest common multiple of 8 and n.
104
Let n(k) = 3*k + 11. Let h(z) = z**3 + 2*z**2 - 2*z - 2. What is the smallest common multiple of n(-3) and h(2)?
10
Suppose 3 = -3*k - 9. Let o(n) = n**3 + 4*n**2 - 4*n - 2. Let j be o(k). Let x = j - -6. What is the lowest common multiple of x and 22?
220
What is the common denominator of 3/2 and (12/33)/4*-18?
22
Let a be ((-3)/3 + 9)*4. Suppose -2*o = 2*o - a. What is the smallest common multiple of o and 8?
8
Let x(l) = l**2 - 1. Let d be (-2)/4*1*-4. Suppose 4*k - v = 19, -d*v = -k + 3*v. Calculate the smallest common multiple of k and x(2).
15
Let h = -199 - 122. Let g be ((-121013)/h)/((-26)/(-3)). Let x = -2/1391 - g. Find the common denominator of x and -38/11.
22
Suppose -5*d + 3*z = -z + 42, -2*d = -z + 18. Let v = 14 + d. What is the lowest common multiple of v and 2?
4
Let w(c) = -c**3 + 6*c**2 - 6*c + 5. Let n be w(4). Let o = -9 + n. What is the least common multiple of o and 10?
20
Find the common denominator of 101/8 and ((-1)/2)/(3*35/(-1407)).
40
Suppose 3*x - 24 = 3*j, 4*j - j - 4 = -4*x. Suppose -4*m = -r + 2, -m - 27 = -x*r - 4. Calculate the least common multiple of 8 and r.
24
Let t = 161477146993/1666 + -96925052. Let c = 4/833 - t. Find the common denominator of 73/6 and c.
42
Let p(a) = -2*a + 18. Suppose -2*r + 6 = m - 12, 4*r - 12 = m. What is the lowest common multiple of p(m) and 12?
12
Let m be ((-136)/6 - -1) + 1. Let h = 188/9 + m. Let f = 706/5 - 144. Find the common denominator of h and f.
45
Suppose -4*n - 4 = -12. Let t = 8 - n. What is the lowest common multiple of 4 and t?
12
Let b = 4958 + -9381/2. Let m = b - 1853/7. Find the common denominator of m and 99/20.
140
Suppose 3 - 19 = -4*z. Suppose 4*c + d = 12, z*d - 4 = -4*c + d. Let x(w) = -w**3 - 12*w**2 - w + 4. What is the smallest common multiple of x(-12) and c?
16
Let x = -51985 + 11956577/230. Let f = -5/23 + x. Let k = f - 67/5. Find the common denominator of k and 99/2.
2
Let r = 2 - 0. Suppose q + 3 = -2*q. Calculate the least common multiple of r and (1 - (1 - q)) + 3.
2
Let c(z) = -z**2 + 9. What is the smallest common multiple of c(0) and 1?
9
Let q(h) = h**3 - 7*h**2 + 9*h - 9. Let u be q(6). Let z be (-26)/6 + 3/u. Let n = 8 + z. What is the smallest common multiple of 3 and n?
12
Let m = 3713/5 - 745. Let c be (-2 - 0) + (1 - 11). Calculate the common denominator of (28/(-9))/((-2)/c) and m.
15
Let k = -7 - -9. Suppose 12 = -2*n + 4*s, n = -0*n - 2*s + k. Let u(o) = 4*o**2 + 3*o + 2. Calculate the lowest common multiple of 14 and u(n).
84
Let o be -2 + 0 - 0/2. Let v = o + -1. What is the common denominator of 426/(-8)*2/v and -52/9?
18
Suppose -q + 3 + 2 = 0, 4*p = -q - 415. Calculate the common denominator of -37/20 and p/(-6)*(-1)/3.
60
Let n = -1/3057 - 49928/9171. What is the common denominator of n and ((-186)/9)/(-3 + 3 - 1)?
9
Suppose -2*x + 3*f + f = -2, -16 = -4*f. Let c(o) = -o**2 + 9*o + 10. Calculate the lowest common multiple of c(x) and 5.
10
Let y be 50*-4*(-9)/30. Suppose -4*h - 4 + y = 0. Calculate the smallest common multiple of h and 20.
140
Let n be ((-4666)/(-9))/(-4 - 0). Let p = n - -1330/9. Let r = 15695/7 + -2249. What is the common denominator of r and p?
42
Let n = -34 - -52. What is the smallest common multiple of n and 3*4/6*1?
18
Let k be 2/9 - 132529539/(-432). Let h = k + -307133. Let p = 357 + h. Calculate the common denominator of -61/10 and p.
80
Let t(x) = -x**3 + 10*x**2 + 12*x - 3. Let a = -4 + 15. Calculate the lowest common multiple of t(a) and 10.
40
Suppose g + s = -3, 4*g = 2*g - 5*s - 15. Suppose g = 2*r - 13 + 5. Let t(u) = u**3 - 4*u**2 + 2*u - 2. What is the smallest common multiple of t(r) and 8?
24
Let l = -2624 - -1874. Calculate the common denominator of l/81*15/20 and 93/8.
72
Suppose k - 12 = -3*k. Suppose 0 = -3*j - 3, j + k*j = v - 12. What is the smallest common multiple of 18 and v?
72
Let j = 10609/33182 - 34/353. What is the common denominator of j and -53/18?
846
Let j be ((-2)/6)/((-2)/36). Suppose -5*w + 63 - 18 = 0. Calculate the least common multiple of w and (3/j)/(2/20).
45
Suppose -2*o + 6*o - 16 = -2*t, -5*o = -5*t + 55. Let v = t + -6. Suppose -v*g = -23 - 1. What is the smallest common multiple of 10 and g?
30
Calculate the smallest common multiple of 16 + (-1)/2*4 and 8.
56
Let m(o) = o**3. What is the smallest common multiple of m(2) and 20?
40
Suppose 21 = 3*q - 0*q. Let l be q/(-6) - (-2)/12. What is the lowest common multiple of (0 - l)*(3 + 0) and 1?
3
Let v = -646/45 - -20903/1710. Find the common denominator of 83/6 and v.
114
Suppose -5*w - 5*s + 35 = 0, w - 2*s + 3 = -s. Suppose 0 = -u - w + 4. What is the lowest common multiple of u and 8?
8
Suppose -16 = -3*k + 26. Calculate the lowest common multiple of k and 6.
42
Let f(o) be the third derivative of -o**4/24 - o**3/2 + 2*o**2. Calculate the smallest common multiple of f(-4) and 7.
7
Suppose -u - 2*o + 3*o = -9, 5*u + 4*o - 63 = 0. Let h = 5 + u. What is the smallest common multiple of h and 18?
144
Let y(u) be the third derivative of -u**4/8 + 7*u**3/6 - u**2. Calculate the least common multiple of y(-5) and 20.
220
Let a be (-1)/3 - 13/(-3). Suppose -5*d - 9 = a*j, j + 2*d + 18 = 3*j. Suppose -43*t + 40 = -38*t. What is the smallest common multiple of j and t?
8
Let p = -11006 + 16873. Let u be 9/(-66)*-42989 + 0. Let s = u - p. What is the common denominator of s and -67/20?
220
Suppose -y + 62 = 2*y + 4*h, -3*y + 64 = 5*h. Calculate the smallest common multiple of y and 14.
126
Let v(f) = f. Let h be v(5). Let s = h - 2. What is the smallest common multiple of s and 3?
3
Let u(i) be the second derivative of 1/20*i**5 + i**2 - 1/2*i**4 + i + 0 + 7/6*i**3. What is the least common multiple of u(5) and 22?
132
Let w = 280/101 + 203/2222. Let a = 251/740 - 7/37. Calculate the common denominator of w and a.
220
Let c = 17 - 7. Let i(z) = -z**3 + 4*z**2 + 7*z + 1. Calculate the smallest common multiple of i(5) and c.
110
Suppose 4*s - 8 = 3*f, 2*f = -4*s + 6*f + 4. Suppose -4 = s*a - 34. Calculate the least common multiple of a and 10.
30
Let s(j) = 0*j**2 + 2*j**2 + 2*j**2 - 5*j**2 + 8. What is the lowest common multiple of s(0) and 8?
8
Let u(f) = f**3 - 15*f**2 - 9*f + 8. Let x be u(15). What is the common denominator of x/(-6) + 4/(-3) and 73/12?
12
Let o = 13 - 12. What is the least common multiple of o and 11?
11
Let d be -275*(-3)/(-1)*-1. Find the common denominator of (((-5)/(-25))/((-8)/1180))/(-10) and (-2)/(-3) - d/(-72).
40
Calculate the smallest common multiple of 26 and -3 + (96/(-4))/(-3).
130
Let h be 1/(-2) - 175/(-14). Let f = h - 10. Calculate the lowest common multiple of f and 8.
8
Let f = 1123/16 - 569/8. Calculate the common denominator of f and -3 - ((-49)/6)/1.
48
Let f(d) = -d - 16. Let u be f(-7). Let q = u + 13. Calculate the least common multiple of 6 and q.
12
Let k(u) = -u**2 + 6*u - 5. Let m be k(5). Calculate