6. Calculate the least common multiple of a and 81.
891
Let f = 115 + -106. Suppose 0 = -0*m + 4*m - 20. Suppose -m*u = -v + 36 - 7, 5*v = 4*u + 61. What is the lowest common multiple of f and v?
9
Let o = -344 - -7219/21. Let p = 664 - 674. What is the common denominator of p and o?
21
Let d = -42598/9 - -4728. Let g = -4799 - -62354/13. What is the common denominator of g and d?
117
Let r = 726 + -368. What is the least common multiple of r and 1?
358
Suppose 4*z - 169 = -537. Calculate the least common multiple of (z/(-115))/(2/5) and 14.
14
Let p(w) = -w**2 - 13*w - 6. Let a be p(-6). Find the common denominator of -43/2 and ((-56)/40)/(a/25).
36
Let i = -154093031/116 - 469803/58. Let p = i - -21542095/16. Let o = p + -9896. What is the common denominator of -27/10 and o?
80
Let z = 20 + -13. Suppose 4*u - 2*l = 6, -18*l + 1 = -u - 20*l. What is the least common multiple of u and z?
7
Let u be (2/6)/(11/(-429)). Let f = -7 + u. Let p = 23 + f. What is the lowest common multiple of 3 and p?
3
Suppose -i - 86 = 4*i - 4*q, -5*i - 3*q - 58 = 0. Let b = -3 - i. Suppose -6*v - 30 = -b*v. What is the least common multiple of 9 and v?
18
Let u = 15/4 + -5. What is the common denominator of (1516/792)/(-1) + (-16)/72 and u?
44
Let g(m) = -m**2 + 32*m - 179. What is the lowest common multiple of 20 and g(19)?
340
Let m = 9 + 4. Let r = m + -3. What is the smallest common multiple of 6 and r?
30
Let q be (-1)/(-2) + 332/8*1. Let f = 50 - q. Calculate the smallest common multiple of f and 8.
8
Let g = -2450 - -12292/5. Suppose -3*r + 7*x - 2*x + 184 = 0, 5*x = -25. What is the common denominator of 2 + 1 + r/(-11) and g?
55
What is the common denominator of 17/16 and ((-62)/39 + 2)*45/10?
208
Suppose -6*i + 864 = 2*i. Find the common denominator of 26/(-3)*9/i and 145/18.
18
Suppose -29*r + 8*r = -2016. What is the smallest common multiple of r and 36?
288
Let a = 1299/14 + -20623/224. What is the common denominator of -17/12 and a?
96
Let b(u) = 4*u**2 - 4*u - 8. Let g(i) = i**2 - i. Let n(p) = b(p) - 5*g(p). Let k be n(9). Find the common denominator of (-15)/(-25) + 1038/k and -8.
8
What is the common denominator of -29/6 and 56/90*900/72?
18
Let p = 1605 + -25639/16. Calculate the common denominator of ((-6)/(-20))/(6/(-142)) and p.
80
Let k = -51/28 - -2013/56. Let d = 325/8 - k. Let n = 3/347 - -4493/2082. What is the common denominator of n and d?
6
Let a = 12 - 3. Suppose 0 = -3*q - 3*c + a, -16 + 52 = 5*q - 2*c. Calculate the lowest common multiple of q and (-10)/40*(-2)/2*4.
6
Suppose -3*x = -2*q - 17, 7*x - 31 = 2*x + 4*q. Suppose x*w = w + 60. Let b = w - 27. What is the least common multiple of b and 14?
42
Let j(y) = y + 14. What is the least common multiple of j(-8) and 45*(-7)/(175/(-10))?
18
Let c(u) = -2*u. Let w be c(0). Let g = w + -4. Find the common denominator of 31/10 and 2*(g + 418/56).
70
Let p(k) = k + 20. Let w(b) = -10. Let q(f) = -3*p(f) - 5*w(f). What is the lowest common multiple of q(-4) and (6/4)/(6/40)?
10
Suppose 3*v = 15, 0 = 2*j - 3*v + 25 + 38. Find the common denominator of j/40 + (-618)/45 and 27/11.
33
Let f = 19 - 9. Suppose x - 10 = -4*x. Suppose -2*s - 4 = -x*t + 8, 5*t = 2*s + 15. What is the smallest common multiple of t and f?
10
Let n(u) = -u**3 - 6*u**2 + 14*u + 2. Suppose -4*x - w - 4*w = -104, -w = 2*x - 52. What is the smallest common multiple of n(-8) and x?
234
Let j = 783 + -763. Calculate the smallest common multiple of 1436 and j.
7180
Suppose o - 5*o = 864. Let f = o - 1180. Let m = 8333/6 + f. Calculate the common denominator of -103/36 and m.
36
Suppose 622 = 19*p + 280. Calculate the lowest common multiple of 24 and p.
72
Let x(q) = -q - 4. Let t be x(-12). Let a(h) = h**2 - 4*h + 4. Let s be a(t). Suppose s = 4*l - 2*l. What is the smallest common multiple of 6 and l?
18
Let a(z) = -37*z + 14. Let p be a(5). Calculate the common denominator of -9/14 and 7/(-105)*p/12.
140
Let a be (-10 - -1)*20/12. What is the lowest common multiple of 120/(-45)*a/2 and 64?
320
What is the common denominator of 1/20*131 - 27/36 and -6/101?
505
Let j(d) = -d**3 - 11*d**2 - 25*d + 4. What is the lowest common multiple of 30 and j(-8)?
60
Let p be (-50229 - -1) + 52/26. Let c = -1506917/30 - p. Calculate the common denominator of c and 19/21.
210
Let l(g) = g - 4. Let o be l(9). Suppose -1 - 9 = -o*r. Let f = 5 + r. Calculate the least common multiple of f and 3.
21
Calculate the lowest common multiple of (9 - -5) + 12/6 + 0 and 28.
112
Let a = 368 + -343. Calculate the lowest common multiple of a and 25.
25
Let v = -10 + 8. What is the common denominator of -4 - (4 - 6 - 3) - -31 and v - -1*207/6?
2
Suppose -7 = b - 2. Let d = 389/4 + -96. Calculate the common denominator of ((15/(-6))/(-5))/b and d.
20
Suppose 5*o = -z + 23, -z - z + 78 = 2*o. Suppose 4*a + v = -z, 2*a - 2*v + 30 + 4 = 0. Calculate the common denominator of 67/42 and 4/(-18) + (-62)/a.
126
Suppose 8*n - 300 = -17*n. What is the lowest common multiple of 84 and n?
84
Let d = -226441/383900 - 3/19195. What is the common denominator of -41/100 and d?
100
Let x = -112 - -106. Let t(r) = -15*r - 74. What is the least common multiple of t(x) and 126?
1008
Suppose -11 = -f - 3. Let h = f - -2. Suppose -8 = -2*s - 2*s - 5*n, -5*s + 5*n + h = 0. What is the lowest common multiple of 4 and s?
4
Suppose 102 = 5*y - 2*a, -y - a - 1 = -20. Suppose 2*w = 2*s - 4*s + 52, 0 = -2*w - 3*s + 48. Calculate the least common multiple of y and w.
60
Let s = 420/19 - 3358/133. Find the common denominator of ((-732)/45 - -17)/((-1)/(-3)) and s.
35
Find the common denominator of 3*(-4)/66 + (-5257)/3696 and -7/36.
144
Suppose 0*p - 219 = 3*p. Let u = -139 + p. Calculate the common denominator of 69/16 and u/(-144) + (-3)/4.
144
Calculate the common denominator of 765/6*(-3 + (-14)/(-5)) and 17/39.
78
Suppose 2*n + 0*n = 5*n. Suppose -5*s + 2*o + 63 + 9 = n, 4*o = 4*s - 60. Let g = -1 + 31. What is the least common multiple of s and g?
210
Suppose 5*l + 106 + 24 = 0. Calculate the common denominator of (-2 + 1)*l/16 and (3 + 0)/(-30) + 0/(-24 - -20).
40
Let d = -21971/7 + 3131. What is the common denominator of d and -43/6?
42
Calculate the common denominator of (-5)/(60/(-24)) + (-313)/189 and 83/147.
1323
Let r be (-2)/(-4 - -10)*3. Calculate the least common multiple of (-1 - (r + (-18)/(-4)))*-2 and 3.
9
Let b be (-50)/((40/244)/5). Find the common denominator of -23/11 and ((-4)/(-20))/((-130)/b).
286
Let x be 1/2*20 - 0. Let d be x/(-18)*51752/10. Let y = 2878 + d. Calculate the common denominator of -56/9 and y.
9
Let l = -3816469/126 - -30290. What is the common denominator of -169/84 and l?
252
Suppose 4*b - 4 = -16. Let c = 23 + b. Calculate the smallest common multiple of c and 44.
220
Let p = -510871/4950 - -2577/25. Find the common denominator of p and -31/90.
990
Suppose 20 = 5*d - 2*g + g, 0 = -5*g. What is the common denominator of 32/432*(-255)/d and 61/110?
990
Let r = -7759/6 + 1296. Calculate the common denominator of -71/444 and r.
444
Let m be (-4081896)/280 - (1 - 5/4). Let g = m + 14575. What is the common denominator of g and (-4)/18 - (-254)/36?
60
Let c be (-528994)/11505 - (0 - 0)/1. Let q = -635/13 - c. Find the common denominator of q and 29/9.
45
Let h(c) = c**2 + 13*c - 165. Let r(y) = -y + 23. What is the smallest common multiple of h(-21) and r(13)?
30
Let r = -3 + -29. What is the smallest common multiple of 8/r - 9/(-4) and (-108)/(-11) - 4/(-22)?
10
Suppose 3*w + 3 = -5*f - 1, -8 = -2*w + 2*f. Calculate the lowest common multiple of w and 12.
12
What is the smallest common multiple of 168 and (0 + 60/7)/((-102)/(-357))?
840
Suppose -1555 = -5*z - 5*u, 3*z = -5*u + 358 + 585. What is the smallest common multiple of z and 8?
1224
Suppose -u = -2*u + 216. Find the common denominator of (1252/u - 3)*-3 and -7/8.
72
Suppose -2*w - 402 = -4*l, 18*w - 22*w = l - 96. What is the lowest common multiple of l and 35?
700
Suppose 6 + 8 = 2*y. Let h = y + -1. Let o = 9 - h. What is the smallest common multiple of o and 1?
3
Let j = 3/64 + 533/3648. Find the common denominator of j and -151/102.
1938
Let p(k) = -101*k + 9. Let v be p(5). Find the common denominator of ((-4)/24)/(v/(-2424)) and -5/8.
248
Suppose 0 = -2*j - 4*s - 18, j - 2*