denominator of 137/60 and ((-5)/(-96))/(9/(-51)).
1440
Let m = 9167513/267 + -34335. Find the common denominator of (-32)/(-36)*30/4 and m.
267
Let q(j) = j**3 + 51*j**2 - 72*j - 953. Calculate the smallest common multiple of 261 and q(-52).
261
Suppose k - 64 = y, -6*y + 272 = 3*k + 71. Calculate the lowest common multiple of k and 40.
520
Let p = 2023 + -2013. Let m = -266 - -460. Calculate the lowest common multiple of p and m.
970
Suppose -4785 = -122*h - 141*h - 172*h. Calculate the least common multiple of 1033 and h.
11363
Suppose 3412 + 548 = 15*j. Let d = j - 70. Calculate the least common multiple of d and 6.
582
Let s = 141/82 - 2645/656. Let r = 48 - -64. What is the common denominator of 2/(-7) + (5 - 764/r) and s?
112
Let j = -121/3 + 1847/42. Let d = -2326 + 32549/14. What is the common denominator of d and j?
14
Let r = 243812743826255/18456 + -13210486775. Let v = r - -4/769. Calculate the common denominator of 354/153 + 1*-1 and v.
408
Let r be (-1208)/82 - 8*2/(-4). Let n = r - -17176/1845. Calculate the common denominator of n and 79/30.
90
Let i = 983335 - 660800975/672. What is the common denominator of i and 33/64?
1344
Let b be (10*(-2)/(-60))/((-1)/3). Calculate the common denominator of 227/(-408) + (-21)/56 - b and -59/10.
510
Let j(g) be the second derivative of 19*g**3/6 - 6*g**2 - 26*g + 2. Calculate the lowest common multiple of j(1) and 115.
805
Let c = -55787 - -5020897/90. What is the common denominator of c and -139/90?
90
Let g = 1694 + -25439/15. Find the common denominator of g and ((-318)/42 - -9)*(-98)/(-168).
30
Let r(f) = f + 6. Let o = -449 - -454. Suppose 0 = 5*s - o, -2*k + 3*s - 7 + 6 = 0. Calculate the least common multiple of r(5) and k.
11
Let m(j) = -14*j**2 + 2*j - 2. Let f be m(1). Let t(k) = -k**2 - 4*k + 50. Let h be t(f). Let d = -46 - h. What is the least common multiple of d and 4?
44
What is the least common multiple of 308 and 8962/10 - (-2)/10*8/(-8)?
9856
Let x be ((-1)/(-4)*2)/(22/640244). Let j = x - 756733/52. Calculate the common denominator of 73/8 and j.
104
Suppose -8*l - 42 = -10*l. Suppose 24*h - l*h = -18. Calculate the lowest common multiple of (2/4)/((-15)/h - 2) and 8.
8
Let z(h) = -h**3 + 97*h**2 + 4*h - 348. Calculate the lowest common multiple of 120 and z(97).
120
Calculate the common denominator of (-7)/1 - (-2 + 9/6) and 25/5186.
5186
Let l = 118627/10 - 11857. Find the common denominator of (4/12)/((-50)/(-294)) and l.
50
Suppose -l + 142 = 22. Suppose 15*b = 10*b + l. What is the smallest common multiple of b and 18?
72
Let t = -438485/995808 - -427/902. Calculate the common denominator of 97/4 and t.
2208
Suppose 0 = 10*f - 212 + 52. Calculate the common denominator of 83/28 and 2 + (-186)/f + 3.
56
Let h(b) = 11*b**2 + 64*b - 50. Let p(i) = -4*i**2 - 21*i + 16. Let k(u) = 6*h(u) + 17*p(u). Calculate the least common multiple of 7 and k(12).
56
What is the common denominator of -31/14 and 1244/(-1872) + 3/12?
1638
Suppose -5*g - 4*y + 1103 = 0, 0*y - 209 = -g + 5*y. Suppose -9*c - 21 = -g. Calculate the lowest common multiple of c and (-22)/4*8/(-2).
22
Let s = 990 + -966. Calculate the least common multiple of 39 and s.
312
Suppose 54*i = 74*i + 560. Calculate the common denominator of 1 + (-819)/60 + (-7)/i and ((-14)/(-44))/((-4)/(-32)).
55
Suppose -13*a + 8*a = -10. Let w = 309 - 201. What is the lowest common multiple of w and a?
108
Let v(h) = -8*h + 72. Let x be v(-20). Calculate the common denominator of (-374)/(-63) - 2/(-7) and x/432 + -3*3/(-54).
27
Let i = 7928 - 134560/17. Let v = i + 105/68. Let g = 1447/1073 + -73/74. Find the common denominator of g and v.
116
Suppose 0 = -5*m + 4*b + 154, -2*m - 66*b + 64 = -68*b. Calculate the lowest common multiple of 2742 and m.
35646
Suppose -3*p = -p + 3*i - 198, 3*i = -3*p + 300. Suppose -4*q + 2*m = -p, 3*q - 5*m = 11 + 62. What is the lowest common multiple of q and 52?
52
Let r be 8/32 + (-68)/(-16)*1371. Let s = 110748/19 - r. What is the common denominator of s and 97/10?
190
Let s = 15389689312325/706920333 - 2/33662873. Let r(f) = 115*f**2 + 57*f + 24. Let g be r(-14). Let l = g - s. What is the common denominator of l and 17/18?
126
Suppose 2579 = 4*w - 1857. Let j = -20039/18 + w. What is the common denominator of j and -23/214?
1926
Suppose 7*d + 45 = 10*d. Suppose 0 = y - 0*y + 3*f - 3, 5*y - 2*f = d. Calculate the lowest common multiple of 3 and (-1 - y/(-5))/((-1)/60).
24
What is the common denominator of ((-45)/(-20))/(9/(-6)) + 187/306 and 68*(1 - (-7)/(-6))?
9
Let r(n) be the third derivative of 13*n**4/24 - 15*n**3/2 - 95*n**2. Calculate the least common multiple of 37 and r(4).
259
Let s(o) = -o**3 + 38*o**2 - 104*o - 19. Calculate the smallest common multiple of 156 and s(35).
624
Let p = -2676 - -2682. Let k(t) = -t**3 + 13*t**2 + 8*t + 10. Calculate the lowest common multiple of k(10) and p.
390
Suppose 5*j = 5*o + 30, j = -0*j - 5*o. Suppose 0 = -2*d + 7 + j. What is the smallest common multiple of 33 and d?
66
Let a = -15181 - -15589. Calculate the smallest common multiple of a and 1428.
2856
Let m = -3/541 - 15629/10820. Let x(r) = r**2 + 5*r - 44. Let i be x(-10). Calculate the common denominator of m and (0 - (i - 5))*(-73)/8.
40
Let p = 19/229 - 10013/15801. Let k = 1028203/42 - 24480. What is the common denominator of k and p?
966
Let x(n) = -n**2 - 3*n + 2. Let f be x(0). Let y be (f + 1/(-2))/(1/22). Let r = y + 43. Calculate the lowest common multiple of 22 and r.
836
Let f(x) = x**3 + 20*x**2 + 2*x + 45. What is the smallest common multiple of -3*10/15*2/(-4) and f(-20)?
5
Let n be 9/(-15) + 1412/(-180). Let h = 461/72 + n. Find the common denominator of h and -87/8.
24
Suppose -2*r - 4 + 14 = 0. Suppose -3*j + 139 = j + 5*w, 0 = j + r*w - 46. Let d = -17 + j. Calculate the smallest common multiple of 38 and d.
266
Let x be (4/(-6))/(2756/(-36)). Let p = 2/5634786935 + 143241918658099/46588418378580. Let i = x + p. What is the common denominator of -16/9 and i?
36
Suppose 5*y = 5*h - 22 - 3, 0 = -2*h - 2*y + 30. Suppose -60*z + 22*z + 1824 = 0. What is the smallest common multiple of h and z?
240
Let g be 51/(-12) - (-2)/8. Calculate the common denominator of g + 5 - (-23)/16 and (481/(-52) + 0 + -1)/1.
16
Suppose -i - 4*o + 385 = 0, 7*i - 3*o = 8*i - 381. Calculate the least common multiple of 18 and i.
738
Let z(y) = 25*y**2 + 1. Let o be z(-2). Suppose o - 209 = -3*g. Calculate the least common multiple of g and 16.
144
Let p = 44276 - 6419993/145. Let s = p + -7267/870. Let z = -104/5 + 276/13. Calculate the common denominator of s and z.
390
Suppose 572 = 5*u - 4*r, -u - 2456*r + 132 = -2459*r. What is the lowest common multiple of u and 135?
540
Let o be -346*((-32)/(-8))/(1/7). Let u = 290677/30 + o. Let b = 84 + -137/2. Calculate the common denominator of u and b.
30
Let c = 111673/32 - 3488. Calculate the common denominator of 163/120 and c.
480
Let f(o) = 164*o**2 - 185*o + 183. Let h(u) = 2*u - 13. Calculate the lowest common multiple of f(1) and h(11).
162
Let k = 943585 - 1955108193/2072. Find the common denominator of 23/2072 and k.
2072
Let i = 11490 - 11148. Calculate the lowest common multiple of 129 and i.
14706
Let v = 41265/194 - 20/97. Let c = v - 2561/12. Let r = -8728 + 235720/27. Find the common denominator of c and r.
108
Suppose 0 = -2*f - 2*k + 26, -f - k = k - 18. Let h = -8133 + 8279. Calculate the least common multiple of h and f.
584
Let l = 323258716/97365 + -85/19473. Let j = l + -3324. What is the common denominator of j and -41/153?
765
Let o = -1/118 + 3139/1416. Calculate the common denominator of o and 209/1260.
2520
Let g(y) = -y**3 - 11*y**2 - 63*y - 634. Calculate the lowest common multiple of 2394 and g(-12).
2394
Let j(y) = -y + 55. Let g be j(39). Suppose 2*d + 2*a = g, a = -3*d + 20 - 6. What is the smallest common multiple of 3 and d?
3
Suppose 4*c = 2*t + 2926, 2*c + 5*t + 2935 = 6*c. What is the common denominator of -2 - (24/56 + c/(-756)) and 0 - (-2)/((-16)/(-27))?
216
Suppose 3*m = -4*i - 102, -2*i - 5 - 1 = 0. Let p = 46 + m. What is the lowest common multiple of 6 and p?
48
Suppose -96 = 12*n + 36. Suppose 0 = -3*a + 3*q - 37638, 2*a + q + 25089 = -0*a. Calculate the common denominator of 91/10 and (-2)/n + a/572.
20