
Let o = 6875/4 + -13691/8. Calculate the common denominator of (-28)/(-3)*2/(-7) and o.
24
What is the common denominator of -14 + (0/(-6) - 5) and -29?
1
Let p be 4/18 + (-238)/18. Let q = 7 - p. Suppose -4*y + q = 4. Calculate the smallest common multiple of 5 and y.
20
Calculate the common denominator of 14/(-12)*(-1914)/4060 and -11/182.
1820
Let w = -829 + 845. Calculate the least common multiple of w and 710.
5680
Suppose -12 = 3*o + 24. What is the smallest common multiple of 12 and 300/(-45)*o/5?
48
Let x = 11199/490 - 1192/49. What is the common denominator of x and -123/154?
770
Let k(i) = i**2 - 14*i + 12. Let z be k(10). Let c = z + 39. What is the lowest common multiple of 17/2*1 - 6/(-4) and c?
110
Let p = 58136 + -8836635/152. Calculate the common denominator of p and -17/14.
1064
What is the lowest common multiple of 18 and (-5)/(-2) - 810/(-12)?
630
Find the common denominator of -1 + (-206)/80*-2 - -2 and 83/88.
440
Calculate the lowest common multiple of (6 - 9) + 21*1 and 24.
72
Let x(k) = -k**3 - 9*k**2 - 7*k - 1. Let m be x(-7). Calculate the common denominator of (2/(-11))/(8/20) and 523/30 - (-30)/m.
66
Let p = 627/13 + -9181/182. Calculate the common denominator of p and (-20)/(-70) - (-2115)/560.
112
Suppose 2*t - 8 + 0 = 0. Let w = -1845 - -12883/7. What is the common denominator of ((-1)/t)/((-2)/108) and w?
14
Let x be 28*(-2)/(-16)*2. Suppose -x*q + 16 = -3*q, 2*v + 52 = 5*q. Calculate the common denominator of (-50)/v - -3 - 0 and -11/12.
24
Let m(j) = -j + 17. Let h be m(-13). Calculate the smallest common multiple of 12 and (-4 + -1)*(-3 - h/25).
84
Let m = 10 - 7. Suppose 0 = -5*q + 20, 0 = -5*o - 11*q + 10*q - 136. Calculate the least common multiple of 22 and 12/(m + o/12).
198
Find the common denominator of (-7 - (-219)/30)/((-48)/123) and -29/16.
160
Let x = -47202 - -10667619/226. Let u = x - 8889/1808. Calculate the common denominator of ((-5 + 1)/40 - 7910/(-100))/(-18) and u.
144
Find the common denominator of -43/10 and 270/(-88) - (-4)/(-22).
20
Let x(h) = -h**2 - 24*h + 73. What is the least common multiple of 45 and x(-26)?
315
Let i = -21 + 11. Let n = i + 18. Calculate the smallest common multiple of n and 1.
8
Let o = 7664839/3868182 - 2/71633. Calculate the common denominator of 1/48 and o.
432
Suppose -2*m = 4*w - 12, -w + 5*m + 14 = -0*m. What is the lowest common multiple of 50 and w?
100
Calculate the common denominator of (-3 + (-54)/(-4))*4/(-137) and -70/9.
1233
Suppose 795 = 5*y - 3*r, 4*y - 5*r - 299 = 2*y. Suppose 0 = 11*q - 47 - y. Calculate the least common multiple of 10 and q.
190
Let c be 4 - 1/((-3)/(-18462)). Let n = c + 61429/10. Calculate the common denominator of 43/6 and n.
30
Suppose 0 = -o - 4*o - 4*k - 12, -4*o - 10 = 3*k. Let f(y) = y**2 + 3*y + 6. Let p = 1126 + -1112. What is the least common multiple of f(o) and p?
70
Let q = -1/1875 + -8243/13125. What is the common denominator of q and -59/45?
315
Let y = 16141/5660 - 1/566. Calculate the common denominator of (1/(-28))/((-2)/148) and y.
140
Let v = 20225/4572 + -8/1143. What is the common denominator of (-4)/(-30) + (-8575)/750 and v?
60
Let m = 18920942422001/15334 + -1233920852. Let u = 3/697 - m. Calculate the common denominator of (2/57)/(8/30) and u.
418
Let q = -893245/43 + 20772. Find the common denominator of q and -49.
43
Let u be -6*12/(-16)*1910. Let k = u - 77497/9. Let y = -944/45 - k. Calculate the common denominator of -71/10 and y.
10
Suppose 1120 = 5*h + 2*c, 0 = 7*h + 2*c - 7*c - 1529. Calculate the least common multiple of h and (-4)/3*(-21)/2.
1554
Let z = 296 - 5215/18. Find the common denominator of z and (-220)/(-54) + (-16)/4.
54
Let z(u) = 6*u**2 + u + 6. Let k be z(3). Let p be (-27)/k + (-135)/(-364). Let g = p - 33/104. Calculate the common denominator of g and -103/6.
24
What is the common denominator of ((-9200)/(-120))/(1 + 7) and -45/2?
12
Suppose -h - 4*h + 32 = j, 3*h = -3*j + 12. Suppose -7*w + 21 + h = 0. Calculate the lowest common multiple of w and 11.
44
Let c(s) = s**2 - 2*s + 4. Let y be c(4). What is the common denominator of (-287)/(-60) - 1/5 and 56/14 - 118/y?
12
Let n = -43581/8656 + -15/541. Find the common denominator of n and -4/17.
272
Suppose 16*y = 11*y + 735. Let c = y - 104. Let v = 61 - c. Calculate the smallest common multiple of 10 and v.
90
Suppose 0 = 2*m + 2*n - 42, -57 + 174 = 5*m + n. What is the lowest common multiple of 408 and m?
408
Let c = 31654 + -759557/24. What is the common denominator of c and 13/48?
48
Find the common denominator of ((-30375)/(-30))/25 - 9 and 162/8 - (0 + 0).
4
Let u(x) = 9*x - 60. Calculate the lowest common multiple of 3 and u(12).
48
Let n = 41 + -25. What is the common denominator of 19/6 and 108/82*(n/6 + -2)?
246
Calculate the common denominator of (-10)/6*(-9)/(-11) and 6545/(-980) - 2/(-8).
77
Let r = -102/71 + 10951/852. Calculate the common denominator of -149/84 and r.
84
Suppose 0 = -2*u - 4*q - 2394, 2*u + 2*q + 314 = -2072. What is the common denominator of u/261 - (-2 + 1 + -1) and ((-3)/(-18))/(4/(-198))?
36
Let j(l) = 66*l - 198. Calculate the lowest common multiple of 110 and j(4).
330
Let j = 522 - 1547/3. Let a = 4512 + -40541/9. What is the common denominator of j and a?
9
Suppose 0 = -4*z - 3*q + 16, -3*z + 15 = -2*z - 2*q. Calculate the common denominator of z and -63/5.
5
What is the common denominator of -67/6 and -1 + 4/3 + 798/(-972)?
162
Let c = 2538 + -2428. What is the least common multiple of c and 88?
440
Let r = 4051247/6 - 673544. Let q = 1672 - r. Find the common denominator of (1/15)/((-12)/873) and q.
60
Let q = 26 - 2. Calculate the lowest common multiple of 10/(-10) + 8 + 20 and q.
216
Suppose 5 = s + 1. Suppose 0 = 10*m + 7*m - 238. What is the least common multiple of m and s?
28
Let z = -24301/605 + 201/5. What is the common denominator of -101/66 and z?
726
Calculate the smallest common multiple of 2 and -3*(-6 + 1 - 8774/123).
458
Let a = -323225806/21 - -15410241. Let g = -18540 + a. Find the common denominator of -97/30 and g.
210
Suppose -3*p - 261 = -4*j, -5*j + 175 = 2*p - 157. Calculate the smallest common multiple of 18 and j.
198
Let f = 19 - -35. Let v = -429/8 + f. What is the common denominator of v and (-2)/(-10) + 714/80?
8
Suppose -3*w + 24 = -3*f, 2*f + 2*f = -w - 7. Find the common denominator of 85/18 and f/15 + (-174)/(-20).
18
Suppose 12*l - 52 = 20. What is the lowest common multiple of l and 12?
12
Suppose 48 = -12*u + 8*u. Let g be 1/(-4) + 333/u. Let v = -23 - g. Calculate the smallest common multiple of 5 and v.
5
Let g be ((-33)/4)/((-8)/(-2644)). Let m = -2715 - g. Calculate the common denominator of -101/18 and m.
72
Let r = -62813383/20 - -3142304. Let l = 3735 - 2098. Let f = l - r. What is the common denominator of -115/12 and f?
60
Let f(w) = -w + 7. Let d be f(3). Let o be d/(-14) - (-422)/7. Suppose 40 = 5*z - o. Calculate the least common multiple of 2 and z.
20
Let h = -375349/180 + 10444/5. What is the common denominator of h and -23/340?
3060
Suppose 0 = -0*x - 2*x + 2*y + 32, -4*y = 2*x - 26. Suppose -8*u + 4*u = 4. Let s = u + x. Calculate the lowest common multiple of s and 8.
56
Let k be -2*(-2)/6 - (-598)/(-69). Find the common denominator of 127/18 and (13/10)/(k/(-25)).
144
Suppose -8*s = -9*s + 8. Let j(p) = 0*p**3 + 12*p - 2*p - 9*p**2 + p**3. What is the lowest common multiple of 4 and j(s)?
16
Let s be (-16)/(-88) + 50472/(-22). Let f = -13643/6 - s. Let n = -3/818 - 30875/1227. Find the common denominator of n and f.
6
Suppose -3*f - 5*i = -561, 5*f - 5*i = -8*i + 951. Calculate the lowest common multiple of f and 56.
1344
Let a be 0 + -1 + (60 - 6). Suppose 51 = 2*b + 3*r, -4*r = 3*b - 25 - a. What is the lowest common multiple of b and 21?
210
Let k(j) = 17*j + 557. What is the smallest common multiple of k(-31) and 30?
30
Let d(o) = -o**2 + 3*o - 14. Let n be d(24). What is the lowest common multiple of 20/130 + n/(-13) and 1?
40
Suppose v - 336 = -6*v. Let p = -417/10 + 813/20. Find the common denominator of p and 2 - (-1 - (-33)/v).
80
Suppose -12 = -z - 3*s - 84, 3*z + 183 = 2*s. What is the smallest common multiple of 2/(-9 + 3)*z and 45?
315
Calculate the smallest common multiple of (630/(-9))/5*(-21)/6 and 28.
196
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