6.
18
Let h = -287095/6174 - -2/3087. Find the common denominator of -43/17 and h.
34
Suppose -3*i + 46 - 10 = -2*j, -5*i - j + 73 = 0. Suppose -d = -20*d + 304. Calculate the least common multiple of i and d.
112
Let v = -5659/918 - 1/459. Calculate the common denominator of 97/250 and v.
750
Let x = -59954/21 - -8557/3. Calculate the common denominator of -109/30 and x.
210
Suppose 58746 = -d - 3*d + g, -d + g - 14685 = 0. Let l = d + 616775/42. Calculate the common denominator of -87/10 and l.
210
What is the common denominator of 29/14 and ((-243)/132)/(-3)*(-238)/51?
154
Suppose -b = -3*m + 7, -3*m - m - 2*b = 4. Calculate the lowest common multiple of 9 and 1 - m - (-5)/10*22.
99
Suppose -19*d + 144 + 2060 = 0. What is the smallest common multiple of 4 and d?
116
Let u be 3/2 + -1 - (-22143)/594. Let i = 5611/144 - u. What is the common denominator of -73/28 and i?
112
Let k(c) be the first derivative of c**4/4 - 16*c**3/3 + c**2 - 22*c + 12. Calculate the lowest common multiple of k(16) and 10.
10
Suppose -6 = 3*g, 2*k + g - 6*g - 26 = 0. Let a(d) = -d**3 + 21*d**2 - 50*d - 50. Calculate the smallest common multiple of k and a(18).
88
Let r(n) = -2*n**2 + 12*n - 7. Let m = 6 + 7. Let b be r(m). What is the common denominator of 9/8 and 36/b*(-174)/4?
56
Suppose -21 - 8 = y. Let x be (-4)/(-16) - y/(-4). Let t = x + 13. What is the smallest common multiple of t and 3?
6
Let y(p) = p**3 - 33*p**2 - 69*p - 14. What is the smallest common multiple of 22 and y(35)?
462
Let r be ((-20)/(-15))/((-2)/6). What is the common denominator of (-8)/(-12) - (-75)/(-99) and ((-2)/(-9))/(r/(-429))?
66
What is the common denominator of -67/16 and 36/63 - 11148/2016?
48
Let c = -81 - -655. What is the least common multiple of 6 and c?
1722
What is the least common multiple of (16 - 13)/(3/4) and 65?
260
Suppose -p = 5*g - 11, -4*g - 2*p = 2*p - 12. Calculate the least common multiple of (-420)/(-132) + g/(-11) and 1.
3
Let c(x) = 9*x + 28. Calculate the least common multiple of 2 and c(6).
82
Suppose -3*v + 4*r + 50 = 0, 4*v - 2*r - 3 - 67 = 0. Let f be (6/(-4))/((-3)/(-6)). What is the lowest common multiple of f + -1*v/(-2) and 14?
42
Let x be -2 + 1/(92/544). Let f = -831/230 + x. Find the common denominator of 46 and f.
10
Suppose 0 = -3*x + 3*m + 192, -5*x + 284 = -x + 3*m. Let w = x - 61. Calculate the smallest common multiple of 1 and w.
7
Let j = 6463/36 + -539/3. Let c = -343 - -10923/32. Find the common denominator of j and c.
288
Let h(b) = 6*b**2. Let p be h(2). Let k be 7394/(-18) + p/(-108). Calculate the common denominator of -41/10 and 0 + k/18 + 3.
30
Let z = -329 + 331. Calculate the least common multiple of 0 + 2 + -2 + 5 and z.
10
Let v = -1634 - -1650. What is the least common multiple of 8 and v?
16
Let z be 28/20 - (-2)/(-5). Calculate the common denominator of 11/(-330)*(z - 140) and 109/6.
30
Suppose 56*b - 54*b - 2*j - 8 = 0, -1 = b - 2*j. Let g(p) = p**2 - 4*p - 2. Calculate the lowest common multiple of g(6) and b.
90
Suppose 0 = 4*x - 14 + 6. What is the least common multiple of x and 1/(86/28 + -3)?
14
Suppose 3033 = 48*j - 4887. What is the least common multiple of j and 150?
1650
Suppose -2*u - 2*u = 2608. Let a = -9099/14 - u. Let g = 1805 + -32429/18. Find the common denominator of g and a.
126
Let o(l) = -7*l**2 - 30 + 0*l**2 + 2*l**2 + 5*l + 6*l**2. What is the lowest common multiple of o(-9) and 6?
6
Let o = -1407/2 - -720. Let q be 82610/(-756) - (-1)/2. Let j = q + 764/7. Calculate the common denominator of o and j.
54
Calculate the smallest common multiple of 49 and 13 - (5 + 2 + -4).
490
Suppose 0 = -2*v - 4*g - 0 + 6, -3*g + 1 = -2*v. Suppose 3*a - 2*l = 25, a + v - 4 = 2*l. Suppose a*r - 28 = 4*r. What is the lowest common multiple of r and 8?
8
What is the lowest common multiple of 80 and 5568/56 + (-8)/(-14)?
400
Suppose 0 = -7*a + 95 + 59. Suppose -n + 20 + 0 = 0. Calculate the lowest common multiple of a and n.
220
Let w = 8/1743 + 78259/38346. Calculate the common denominator of -15/532 and w.
5852
Calculate the common denominator of -13/22 and 1/2 - 140/(-176)*-6.
22
Let z = -33129/10 + 3307. What is the common denominator of z and (-35)/(-14)*38/10?
10
Let z(i) = 11*i - 14. Calculate the lowest common multiple of ((-22)/6)/((-2)/12) and z(4).
330
Let w = 353 - 1379/4. Calculate the common denominator of w and (-10)/4*240/5800.
116
Suppose -5 = -5*w, -3*s - 5*w + 2*w - 42 = 0. Let z = s + 17. Calculate the smallest common multiple of 2 and (-3)/z*48/(-18).
4
Suppose -5622 = 2*a + 8282. Let i = 275/78297 + 3262190657/469782. Let j = a + i. Find the common denominator of j and 43/22.
198
Calculate the smallest common multiple of 105 and (9 - (-4 - 1)) + -2.
420
Let c = 866353934057 + -111566460565449503/128777. Let h = 22237 - 260328557/11707. Let i = h - c. What is the common denominator of 40/11 and i?
11
Let t = 241772835/526 - 459644. Calculate the common denominator of -15/22 and t.
5786
Suppose 5*s = s + 2376. Let d = 2661156 + -53211249/20. Let f = s - d. Calculate the common denominator of f and 31/48.
240
Let s be 6*(0 - 1132/(-112)). Let u = -389/7 + s. Let g = 1699 - 13575/8. Find the common denominator of u and g.
56
Let r = 2/486077 + -2351154657/50552008. Let j = -486/13 - r. What is the common denominator of j and -19 + (0 - 2/4)?
8
Let n = 144103696/29703177 - -4868/15209. Let w = -2613401/279 + 9367. Let g = w + n. Find the common denominator of -85/4 and g.
28
Suppose -9*h + 6 = -345. Calculate the common denominator of h and 137/6.
6
Let c(d) = d**2 + 13*d + 12. Calculate the smallest common multiple of 258 and c(0).
516
Let k = 4063/380 + 3/380. Find the common denominator of 121/90 and k.
90
Let o(z) = 6*z**2 + 4*z**3 - 5*z**3 - 1547*z + 9 + 1545*z + 10. What is the smallest common multiple of o(6) and 34?
238
Suppose 2*h - 2*n = 6, 0 = -2*n + 4*n. Suppose h*m + 16 = 7*m. What is the smallest common multiple of (24/36)/((-4)/(-66)) and m?
44
What is the common denominator of (-6)/(-20) + (-6 - -8) and ((-438)/(-32) + 1)*7/35?
80
Let y = -66112 + 11900339/180. Calculate the common denominator of y and 103/70.
1260
Let z(s) = -s**2 + 9*s - 13. Let n = 5 - 2. Suppose l - 8 - 11 = 4*c, l = n*c + 16. What is the lowest common multiple of z(l) and 13?
13
Let s(j) = 2*j**2 + 10*j - 4. Calculate the lowest common multiple of 18 and s(-7).
72
Let l = -4072341/100 + 40723. What is the common denominator of 83/8 and l?
200
Suppose 3*w = 2*i + 23, 2*i + 2 = 4*w - 26. Calculate the least common multiple of 2 and w.
10
Let p(l) = -l - 2. Let a = 3 - 0. Suppose 31 - 7 = a*m. What is the smallest common multiple of m and p(-22)?
40
Suppose 2*q = -4*t + 80, -4 - 16 = -5*t. What is the smallest common multiple of 18 and q?
288
Let d(c) = c**2 - 22*c + 47. What is the smallest common multiple of d(20) and 5?
35
Suppose -c - 2*s = -0*c - 124, 5*s = 4*c - 444. Suppose 2*p + 3*f - 11 = 13, -4*p + 2*f = -16. Calculate the least common multiple of c and p.
348
What is the least common multiple of -1*1*-1*(-22)/(-22) and 194?
194
Let d = 681 + -439. What is the least common multiple of d and 10?
1210
Suppose -y - 92 = -3*l, 4*l - 114 = -3*y - 0*y. Suppose -5*s = -0*s + l. Calculate the common denominator of 6 + -4 + (-40)/s and -47/9.
9
Let o(h) = 3*h**2 + 32*h + 7. What is the smallest common multiple of 12 and o(-11)?
36
Let o = -12 - -4. Let i be (o/(-5))/((-8)/40). Calculate the common denominator of (93/4)/(12/i) and -97/18.
18
Suppose -3*z + 5 + 7 = 0. Let m(q) be the second derivative of q**4/12 + 3*q**3/2 + 9*q**2/2 - 2*q. Calculate the least common multiple of z and m(-9).
36
Let o = 161 + -163. Calculate the common denominator of ((-336)/(-10780))/(o/(-21)) and -121/30.
330
Let n = 30321 + -1515997/50. What is the common denominator of -37/100 and n?
100
Let z = -1215 - -593. Let r = 4323/7 + z. Let g = 1769 + -7131/4. Find the common denominator of g and r.
28
Let n(t) = -5*t + 10. Let q(r) = 11*r - 20. Let v(k) = 13*n(k) + 6*q(k). What is the least common multiple of v(-5) and 8?
40
Suppose -2*x - 3*k = -x + 9786, -x + 3*k = 9804. Let f = x - -146842/15. Find the common denominator of f and -73/27.
135
Let f = -8079/170 - -2/85. Find the common denominator of 49/790 and f.
790
Let j = -7 + 29. Su