 = -d. What is the common denominator of 23/8 and ((-28)/d)/((-60)/65)?
72
Let x(l) = -l**2 - 8*l + 3. Let a be x(-8). Let q be 22/(-4) - a/(-6). Find the common denominator of 99/12*(-1)/q and -67/18.
180
Let l be -10*2/(-6)*-9. Let k = -61/2 - l. Let g = 24507/10 - 2444. Calculate the common denominator of g and k.
10
Let c = -2121/4 - -520. Let p = -7/2218 + -106247/68758. Calculate the common denominator of c and p.
124
Let j = 3122 - 28069/9. Find the common denominator of j and -37/4.
36
Let u(s) = -s**3 - s - 47. Let g be u(0). Let i = g - -50. What is the lowest common multiple of 18 and i?
18
Let y(m) = m**2 - 11*m - 22. Suppose -3*q + 0*h + 5*h = -67, 0 = -4*h - 20. Let f be y(q). What is the common denominator of (-39 + 3 + -1)/f and -11/5?
20
Let b be -3 + 1 + -2 + 2280/9. Let t = b + -254. Calculate the common denominator of -95/2 and t.
6
Let s(w) be the first derivative of -593*w**3/3 - w**2/2 - 2*w - 5. Let x be s(-1). Calculate the common denominator of -42/5 and (-2)/(-7) - x/420.
10
Suppose -14 = -4*z + s + 2*s, 0 = z - 5*s - 12. Let c = 0 - 1. Let j = c + 5. Calculate the lowest common multiple of j and z.
4
Suppose -r = -0*j + 4*j - 26, -3*j - 12 = 0. Calculate the least common multiple of 6 and r.
42
Let t(f) = 4*f + 32. Let x be t(10). Suppose -13*i + x = -10*i. What is the least common multiple of i and 30?
120
Let s = -19341 - -309357/16. Let j be (-738164)/352 - (-2)/11. Let x = j + 2109. Find the common denominator of x and s.
16
Suppose -8*h = -t - 3*h + 40, -5*t = -2*h - 223. Calculate the smallest common multiple of t and 12.
180
Let l = 165 + -30. Let v = 1015/2 - 471. Calculate the common denominator of (24/(-210))/((-6)/l) and v.
14
Let p = -3271 + 26077/8. Find the common denominator of -1*((-432)/112 + 2) and p.
56
Let g(v) = v + 9. Let s be g(-4). Suppose -61 = -s*a + 29. Calculate the smallest common multiple of a and 20.
180
Let g be (24/10)/((-2)/15). Let u = g + 8. Let y = -6 - u. What is the least common multiple of 1 and y?
4
Let l = 84279/16 - 5265. Let o be 4*(-2)/((-24)/117). Find the common denominator of l and (o/8)/((-12)/(-14)).
16
Suppose -3*r = -4*r + 10. Suppose -2*q - 35 = -9*q. What is the smallest common multiple of r and q?
10
Let v(u) = -u**2 + 16*u - 17. What is the smallest common multiple of v(14) and 3?
33
Let h = 3 + -6. What is the lowest common multiple of 21 and 8*(h/1)/(-1)?
168
Let t = 13 + 12. Suppose -q + t = 4*q. Suppose -5*p + 52 = -4*n, -2*p + 3*p - 3*n - 17 = 0. Calculate the least common multiple of p and q.
40
Let u = -150343/22 + 6837. Calculate the common denominator of 93/20 and u.
220
Let r(k) = 8*k - 4. Let q be r(-3). Calculate the common denominator of 1*(-3 - 200/q) and ((-84)/15)/((-4)/(-30)).
7
Let z(r) = -2*r + 27. Suppose -29*t + 24 = -26*t. Calculate the lowest common multiple of z(t) and 14.
154
What is the common denominator of 71/24 and (1/48)/((-5)/(-1390))?
24
Suppose -63 + 530 = 4*x - 3*h, -112 = -x - 4*h. Suppose 5*r = r + x. What is the common denominator of r and (-2)/6*(-67)/(-2)?
6
Let b = 3 - 7. Let k be 3/((-3)/(-3577)) - 0/17. Find the common denominator of 113/18 and b/10 + k/280.
72
Calculate the common denominator of (-2)/(-50)*10*119/(-20) and -17/8.
200
Suppose -3*x + 0*x = 0. Calculate the least common multiple of 16 and (380/(-10))/(-1 + x).
304
Suppose -4*u + 49 = 3*u. Suppose s = 5 + u. Calculate the smallest common multiple of s and 20.
60
Calculate the least common multiple of 29932/196 - (-2)/7 and 102.
306
Let u be 10/(-5)*(-36)/(-8). What is the lowest common multiple of 8 and ((-82)/3)/(0 - (-3)/u)?
328
What is the common denominator of (-5)/(-6) - ((-54587)/1530)/(-13) and 149/90?
90
Suppose -5*c - 29 = -194. What is the lowest common multiple of 24 and c?
264
Let j(a) = 3*a**2 - 48*a - 151. Let h be -1 - (0 - (-3)/(-1)). Suppose -h*c = s - 58, 4*c = 3*s - 2*s - 34. Calculate the common denominator of j(-3) and s.
1
Let f(n) = -39*n + 714. Let d = 7 + -2. Let c(w) = w**3 - 6*w**2 + 5*w + 4. Calculate the smallest common multiple of f(18) and c(d).
12
Let a = -6965/4 - -1754. Find the common denominator of a and (477/6 + 0)/3.
4
Let r(t) = 2*t**2 - 17*t + 6. Let i = -14 + 23. What is the least common multiple of r(i) and 9?
45
Suppose -3*r - 3*h + 23 = -94, -39 = -r + h. What is the lowest common multiple of 221 and r?
663
Calculate the common denominator of 13/24 and (1/(-52))/((-9)/(-1098)).
312
Suppose 5*m = 3*k + 3*m - 29, 5*m = 3*k - 32. Calculate the lowest common multiple of 36 and k.
36
Suppose 5*g + 84 = 3*j, 0 = -4*j + 2*g - 21 + 147. Calculate the least common multiple of j and 30.
330
Suppose -46350 = -2*u - 7*u. Let v = -41109/8 + u. What is the common denominator of v and 11/76?
152
Let m(q) = 2*q + 11. Let r(c) = 5*c + 32. Let n(b) = -8*m(b) + 3*r(b). Let o = 17 - 11. What is the least common multiple of 16 and n(o)?
16
Let u(k) = 18*k**2 - 32*k + 150. What is the smallest common multiple of 31 and u(4)?
310
Let l = -52733/34392 - 12/1433. Find the common denominator of l and 49/6.
24
Suppose 0 = -3*q + 3*a + 21, -1 - 28 = -2*q + 5*a. Suppose 4*u + 4*l = 74 - 14, 3*u - 42 = -2*l. What is the least common multiple of q and u?
12
Let q = 187 + -184. Let o(t) = -6*t - 19. Let d(g) = 5*g + 18. Let z(c) = 5*d(c) + 4*o(c). What is the smallest common multiple of q and z(-7)?
21
Calculate the common denominator of 187/1590 and 155/(-10)*-3 - -6 - 7.
1590
Let b = -51/5 - -10. Let i be -9 + 0 + 0/(-3). Let c = i - 20. Find the common denominator of c and b.
5
Let t(l) = 11*l - 40. Let j be t(4). Suppose 2*d + 121 = 3*w + 6*d, -78 = -2*w - j*d. What is the least common multiple of 9 and w?
387
Let l = -46 + 12. Let x = l + 54. Suppose 0 = 5*a - 42 - 8. What is the least common multiple of x and a?
20
Suppose 8 = 3*t - t. Suppose -t*o + 39 = 3*p, o + 45 = 6*o + 5*p. Let j = -10 + o. What is the least common multiple of j and 6?
6
Let k = 6282631/323 - 19451. Calculate the common denominator of k and -101/2.
646
Let f = -935 + 957. Suppose 4*m = -2*c + 16, 0*c = 3*m - c - 22. What is the smallest common multiple of f and m?
66
Suppose 15*j = 2302 - 142. Calculate the lowest common multiple of 9 and j.
144
Suppose 0 = -5*t - 2*f + 45, -4*t = -f - 3*f - 8. Suppose 2*k + k - 4*w - 27 = 0, 3*k - 36 = w. What is the least common multiple of t and k?
91
What is the common denominator of -6*(3 + 465/(-189)) and (-3031)/(-504) - (116/36 + -3)?
168
Let o = 89/210 + -1/42. What is the common denominator of o and (-2)/18*1017/(-6)?
30
Suppose -t + 24 = -2*x, -3*t + 3*x + 92 = 2*t. Let k = -299791/63415 - -1/5765. Calculate the common denominator of k and 2/t*(-496)/(-12).
66
Suppose -923 = 5*k - 983. What is the least common multiple of 9 and k?
36
Let z be (-68)/(-20) - (-9)/15. Find the common denominator of 57/10 and (-94)/z - (19 + -23).
10
Suppose -3*x = l - 34, -x - 14 = -3*x - 5*l. Let s be 4/6*(-54)/(-3). Let r(n) = -n**2 + 12*n + 2. Calculate the lowest common multiple of r(s) and x.
12
Let i = -55547/28832 + -38/901. Find the common denominator of -43/392 and i.
1568
Let y(i) = -i - 14. Let a(j) = -2*j - 13. Let m(l) = 2*a(l) - 3*y(l). What is the smallest common multiple of m(6) and 18?
90
Let x be ((-108)/10)/(3/(-20)). Let q be (-15)/x*(-6)/16540. Let v = q - 267953/66160. Find the common denominator of v and -97/4.
20
Suppose 4*f = 2*x + 9*f - 443, -4*f = 3*x - 668. What is the least common multiple of x and 12?
672
Let j(u) = u**3 + 3*u**2 + u - 3. Let x be j(-3). Let a be (-1814)/(-48) - x/18. Let g = -38 + a. What is the common denominator of 29/11 and g?
88
Let a(y) = -y**3 - 5*y**2 + 7*y - 1. Let b be a(-8). Suppose 3*i + b = 51. What is the common denominator of -5/22 and i/7 + (-73)/(-20)?
220
Let f = -100781165/11908 - -110024/13. Find the common denominator of -49/8 and f.
1832
Let n(p) = -p**3 - 14*p**2 + 36*p + 85. Find the common denominator of n(-16) and -53/11.
11
Suppose -21*f + 5*z = -23*f + 101, 2*z = -f + 53. What is the lowest common multiple of 63 and f?
63
Calculate the common denominator of (-8)/220*15 - (-777)/880 and -107/10.
80
Calculate the smallest common multiple of 1 and ((486/12)/(-9))/((-2)/28).
63
Let o(w) = -w**2 - 33*w + 42. Calculate the least common multiple of 3 and o(-34).
24
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