Let m = 31/20 - 3/10. Let i = -656 + -2888. Let b = -28293/8 - i. Calculate the common denominator of m and b.
8
Suppose 5*g + 86 = -3*y - 162, 2*g + 5*y + 103 = 0. Find the common denominator of -9/11 and g/33 + 10/15.
11
Let j = -5 - -15. Let f be 44/16 + 3/12. Suppose 4*r - 2*r = -2*o + 8, 0 = -f*r + 5*o + 12. What is the lowest common multiple of j and r?
20
Let t = -44923/16230 - -2/1623. Find the common denominator of -151/12 and t.
60
Suppose 4*s - 8 = -0. Suppose -n + s = -2. What is the least common multiple of n and 1?
4
Let a be ((-215322)/1064)/((-1539)/90). Let w = a + -3/2527. Find the common denominator of 48 and w.
6
Suppose -2*b + 68 - 19 = 5*q, -5*q - 4*b = -53. Calculate the least common multiple of q and 9.
9
Let w(y) = y**3 + 8. Let q(c) be the second derivative of 11*c**4/6 + c**3/6 + c**2/2 - 6*c. What is the smallest common multiple of w(0) and q(-1)?
88
Suppose -8 = 4*j + 2*h, 5*j + 5*h + 21 = 1. Suppose 2*g + j = 2. Calculate the lowest common multiple of 8 and g.
8
Let g(n) = -6*n**3 - 2*n**2 - 2*n - 1. Let c be g(-1). Suppose 3*a - c*s = 31, -a - 2*s + 12 = -2. What is the smallest common multiple of 14 and a?
84
What is the common denominator of (-6)/(-51) + 303/(-2142) and -59/14?
42
Suppose 0 = 3*t - 43 + 16. Calculate the lowest common multiple of 26 and t.
234
Let b = -282793/20 + 14143. Let t = -17556676/12612375 - -2/100899. Let j = 2427/250 - t. What is the common denominator of j and b?
20
Let t = -406 - -4472/11. Find the common denominator of 3/12 + 274/8 and t.
22
Suppose -4*x + 2739 - 17967 = 0. Let t = -83771/22 - x. What is the common denominator of t and (-7)/12 - (-1)/(-1)?
132
Suppose -5*x + 15 + 55 = 0. Let t be (-38)/(-6) + 1/(-3). Suppose m - r = t*m - 45, 25 = 5*r. Calculate the smallest common multiple of x and m.
56
Suppose 2*p = h + 6, 2*h + 0*p + 2 = -p. Calculate the common denominator of -17/22 and h/(-5) + 2335/(-400).
176
Let i = 168/55 + -699/110. What is the common denominator of 2 + (375/12)/5 and i?
20
Suppose 17*g = 12*g + 65. Calculate the smallest common multiple of g and 4.
52
What is the common denominator of -3/22 and (-231)/60 + 6/2?
220
Let h(s) = 2*s - 12. What is the lowest common multiple of 28 and h(10)?
56
Suppose -5 = 3*r - 47. What is the lowest common multiple of r and 4?
28
Let h = -8 + 13. Let k(f) = -f**2 + 7*f - 4. What is the lowest common multiple of k(h) and 11?
66
Suppose 43*q = 41*q + 176. Calculate the lowest common multiple of q and 14.
616
Let v(x) = x**2 - 10*x + 10. Let w(p) = -6*p**2 + 1 + 0*p**3 + 0*p**2 - 10*p**3 + 5*p**2. Calculate the least common multiple of w(-1) and v(10).
10
Let n = -44/14265 - 32587429/2624760. Let f = 1/23 + n. Find the common denominator of f and (-2)/7 - 323/(-126).
72
Let h = 16 - 19. What is the common denominator of (248/132)/(4/(-6)) and -1 + -32*h/14?
77
Let l = 27 - 12. Calculate the lowest common multiple of 2 and l.
30
Let v(m) = -m**3 + 7*m**2 - 3*m - 7. Let g be v(6). Let i = g - 6. Suppose -y + 5*r + 65 = 4*y, 3*r + 6 = 0. Calculate the smallest common multiple of y and i.
55
Suppose -5*x - 99 = 321. Find the common denominator of 0 - -2 - x/(-8) and 113/10.
10
Suppose 0 = 6*f - 5*f - 11. What is the least common multiple of f and 11?
11
Let b be (-6 + -4217)*1/8896950. Let f = b - -1/7650. Let p = f - 215143/34890. What is the common denominator of p and -67/6?
6
Suppose -3*r = -6*r + 6. Let i = 10 - r. What is the lowest common multiple of 6 and i?
24
Let y = -2377/312 + -49/39. Let v = 13/23 + -463/46. What is the common denominator of v and y?
8
Suppose 5*x = 8 + 72. What is the least common multiple of x and 2?
16
Suppose -4*v - 114 = m, -4*v - 3*m - 23 = -3*v. Let k = -49/2 - v. What is the common denominator of 549/(-6)*-1*(-5)/(-30) and k?
4
Suppose 4*p = 3*v - 8*v - 28, 5*p = -3*v - 48. Let f = 14 + p. Calculate the smallest common multiple of f and 3.
6
Suppose -2*c + 7*c - 20 = 0. Suppose -c*n = -2*n + 64. Calculate the lowest common multiple of 10 and (n/8)/((-4)/10).
10
Let y(u) = u**2 - 9*u + 3. Let h be y(9). What is the lowest common multiple of 10 and -2*(h + -2) - -7?
10
Let u = 56/11 + -713/99. What is the common denominator of u and -49/6?
18
What is the lowest common multiple of 18 and ((-44)/(-5))/(4/10)?
198
Calculate the common denominator of 93/32 and 5/1 + (-3690)/648.
288
Suppose -2*u + 32 = p, -2*p - p = -4*u + 44. What is the least common multiple of 18 and u?
126
Suppose 4*t - 100 = -4*l, 3*l = 7*l - 3*t - 79. Calculate the lowest common multiple of l and 20.
220
Let o = 0 + 0. Let b be (0 - 4) + 2 + 5. Suppose -b*r - r + 24 = o. Calculate the lowest common multiple of 8 and r.
24
Find the common denominator of -2 + 22/14 + 8797/(-2128) and 20.
16
What is the common denominator of -69/2 and -3 - (3 + (-93)/21)?
14
Suppose x + 6 - 4 = 0. Let g(s) = s**2 - s - 3. Let f(m) = -4*m**2 + 6*m + 16. Let a(r) = 2*f(r) + 11*g(r). Calculate the lowest common multiple of 4 and a(x).
36
Let j(c) = 2*c - 1. Let f be j(8). Find the common denominator of 241/(-60) + 4/6 and (66/9)/((-8)/f).
20
Let b = 18 - 8. Let r = b + -3. Calculate the least common multiple of r and (2/(-4)*2)/(2/(-16)).
56
Let j = 12 + -6. Suppose -o = -b + 4, 4*b - j = 5*o + 9. What is the least common multiple of (3/2 - o)*8 and 8?
8
Let q(k) = -2*k**2 + 3*k - 2. Let l be q(8). Let m = l - -445/4. What is the common denominator of 3/2 and m?
4
Let g(q) = q**2 + 10*q + 7. Let r be g(-11). Suppose 12 = -3*i, -r = y - 4*y + 3*i. Calculate the least common multiple of 18 and y/7 + 204/21.
90
Suppose -4*u + 3*d - 9 = 0, 7*u + d + 16 = 2*u. Let c = u + 6. Suppose k - 29 = 4*r, r = -c*k - 4*r + 2. Calculate the lowest common multiple of k and 8.
72
Let n be (-2)/(-10) - (-54)/30. Let o be 6 - (-2 - -1)/(-1). Suppose -n*w + o*v = 2 - 16, -4*v = -4*w + 40. What is the least common multiple of w and 10?
60
Let a(b) = -b**3 + b**2. Let n be a(0). Suppose -5*q - 5*u + 5 = n, -2*q - 4*u = u + 7. Calculate the lowest common multiple of q and 7.
28
Let i = -2/2349 - -25066/11745. Calculate the common denominator of i and -77/12.
60
Suppose 2*f - 3*f + 2033 = 0. Let k = 12235/6 - f. Let g = -376/7 + 2683/42. Calculate the common denominator of k and g.
6
Suppose -5*v + 4107 = -213. Let k be 8572/(-10) - (1 + 0). Let i = v + k. Calculate the common denominator of 127/6 and i.
30
Suppose 120 = 4*p - 5*x, 76 + 74 = 5*p + 2*x. Calculate the lowest common multiple of p and 21.
210
Suppose -3*k = 2*k + 5165. Let p = k + 10347/10. Find the common denominator of 73/20 and p.
20
Suppose 3*u + 162 = 9*u. Calculate the lowest common multiple of 9 and u.
27
Let j = -6441 + 90091/14. Find the common denominator of 95/52 and j.
364
Let m(n) = 47*n**2 - 6*n + 1. Let b be m(-7). Suppose 3*p = b - 13587. Let l = p - -37419/10. What is the common denominator of l and 81/4?
20
Calculate the smallest common multiple of 14/1 - -2*(-2 - -3) and 6.
48
Let c be 65/(-10) + 2/(-4). Calculate the common denominator of 39/2 and (-2)/c + 543/(-14).
2
Find the common denominator of -103/14 and 0 - (107/18 + -1).
126
Let d = -3299/270 - -203/27. Let b = d - 28/5. What is the common denominator of b and 65/8?
40
Let s(z) = -z + 6. Let o be s(3). Suppose -3*i + p + 3 = -3, -o*i - p = 0. What is the common denominator of -7/8 and 101/(-22) + i/2?
88
Let b = -1 + -5. What is the common denominator of 1 + -3 + 106/28 and b/4 + (-24)/15?
70
Let c(u) = -17*u**3 + u**2 + u + 1. Calculate the lowest common multiple of c(-1) and 9.
18
Let u = 0 - 0. Let h = u + 4. Calculate the lowest common multiple of 6 and (-4)/1*(-6)/h.
6
What is the lowest common multiple of 6 and 19/2 + 2/(-4)?
18
Let q = 327/5 - 66. Calculate the common denominator of q and 49/8.
40
Suppose -4*t + 2 - 14 = -5*j, 4*j + 2*t = 20. Calculate the lowest common multiple of (-4 - -1) + 10 + j and 5.
55
Let j be 12/(-9)*-12 + 2. What is the least common multiple of 22 and (-32)/(-12)*j/3?
176
Let r(w) be the first derivative of w**4/4 + 2*w**3 - 9*w**2/2 - 10*w + 2. Calculate the lowest common multiple of 10 and r(-7).
20
Let a = -876 - -28906/33. Find the common denominator of -86/21 and a.
231
Suppose 2*h = 4*k - 2*h - 40, -3*k + 2*h = -25. Let v(t) = t**3 + 9*t**2 + 4*t - 23. Calculate the lowest common multi