 the smallest common multiple of 1269 and o.
1269
Let d = 2791453/79681450 + -48/33907. Find the common denominator of d and 103/18.
21150
Suppose -5*g - y + 17 = 0, 4*g = -3*y - 6 + 24. Suppose -5*r = -b - 53, g*r - 10 = -3*b + 11. What is the least common multiple of r and 98?
490
Let t = -685229/45 + 15226. Find the common denominator of 106/12 + 1/2 and t.
45
Suppose 5*c - 5692 = -28*c - 5428. What is the least common multiple of 6992 and c?
6992
Let j(h) = -h**2 + 8*h - 18. Let b be j(6). Calculate the lowest common multiple of 10 - (-5 - 6/b) and 16.
112
What is the common denominator of -3/275 and (-26)/2 - 636093/(-49005)?
3025
Let u = -88117993/306032 + -6/19127. Let i = 288 + u. What is the common denominator of 2/(-3)*90/272 and i?
272
Let y be 21/(-28) + 114/(-8). What is the common denominator of -3 - ((-728)/y)/(-8) and 96/(-77)*(9/(-6) - 2)?
165
Find the common denominator of -19/21 and ((-874)/(-92))/(1059/4).
7413
Calculate the common denominator of 273/(-132) + 15/5 and -4 - 1 - -6 - 129/(-27).
396
Let o = -153 - 267. What is the common denominator of -45/8 and 70/o + (-86)/(-32)?
48
Let h(n) = 2*n**3 - 36*n**2 - 65*n + 63. What is the least common multiple of h(20) and 132?
1452
Let g(m) = -92*m + 4. Let w be g(-1). Calculate the common denominator of (-2)/(w/(-1876))*2/7 and (-5)/((-4)/88*-6).
6
Let f = 225367 - 100062895/444. What is the common denominator of f and 55/28?
3108
Let c = -15 + 18. Suppose -2*o - 3 = -5*o + 3*f, c*o - 2*f + 2 = 0. Calculate the smallest common multiple of 10 and o/18 - (-224)/36.
30
Let f(y) = 41*y + 3. Let m be f(4). Suppose 4*u + 245 = 5*t - u, 0 = 3*t + u - m. Suppose -4*d + 50 = -t. Calculate the lowest common multiple of 4 and d.
52
Let l = 53 - 55. Let x be ((-1)/(-4)*l - 19)*2. Find the common denominator of -113/10 and 41*26/x*6/(-80).
20
Let x(c) = 619*c - 62. Let j be x(-9). Let a = 112543/20 + j. Calculate the common denominator of a and 59/84.
420
Let t = 15543/224 - 468/7. Find the common denominator of -43/1396 and t.
11168
Let o = -7/432 - -235/756. Find the common denominator of 55/112 and o.
112
Let j = -4 + 10. Let m be (-14)/4*(-14)/7*4. Let p = -23 + m. Calculate the lowest common multiple of j and p.
30
Let g(j) be the second derivative of j**4/6 + 5*j**3/2 + 15*j**2/2 - 3*j - 2. Calculate the lowest common multiple of 7 and g(-12).
861
Suppose -2*h - 4*k = 540, -h + 4*k = 34 + 212. Let c = h + 264. What is the smallest common multiple of c and 44?
44
Let v = -151308971/680 - -222513. What is the common denominator of v and -57/80?
1360
Suppose 86 - 18 = r. Suppose 2*w + 2 - 40 = -l, -3*l + 123 = 3*w. Calculate the lowest common multiple of r and l.
748
Suppose 2*b + 20 = r, 55 = 3*r - 0*b - 5*b. Let g(z) = 2*z**2 - 16*z + 25. Let i be g(r). Suppose 5*a = i + 25. Calculate the least common multiple of a and 6.
18
What is the common denominator of -17 - -27 - (-49251)/(-4941) and 115/366?
3294
What is the common denominator of (-4 - 3) + (-2)/(-110)*386 and 54/77?
385
Suppose 286621 - 1737511 = 15*o. Let x = o - -10833201/112. Calculate the common denominator of 81/4 and x.
112
Find the common denominator of 1 + (-1 - 103/(-12)) and ((-10)/(-18))/((-988)/66690).
12
Suppose -20*b + 40*b - 23680 = 0. Suppose 0 = -12*z + 14*z - b. Calculate the smallest common multiple of z and 6.
1776
Let c(l) = -l**3 + 4*l**2 + 19*l - 46. Let t be c(6). What is the lowest common multiple of 5 and (-3 + 5)/t + (-732)/(-24)?
30
Let k = -38923435/36636 + 123/6106. Let w be (6/((-12)/(-2114)))/1. Let h = k + w. What is the common denominator of 31/18 and h?
36
Suppose o + 14 + 15 = 0. Let d = o + 30. Suppose 3*q = -d + 4. What is the lowest common multiple of q and 11?
11
Find the common denominator of (1438/(-85) - (-106)/901)/430 and -17/5.
1075
Suppose 0 = -4*r + 3*q + 240, 232 = -33*r + 37*r - 4*q. Calculate the lowest common multiple of 3366 and r.
3366
Let d = 12217 - 11257. What is the lowest common multiple of d and 1920?
1920
Suppose 781*n - 142936 - 20098 = -8396. What is the smallest common multiple of 3762 and n?
3762
What is the lowest common multiple of 1354 and (((-273)/13)/7)/((-3)/22)?
14894
Let y = 4074251/30182600 + 2/150913. Find the common denominator of (-589)/76 + (-33)/44 and y.
200
Suppose 391*n - 630 = 382*n. Calculate the smallest common multiple of n and 250.
1750
What is the common denominator of (15/75)/(-6 + 22)*-2 and (3/(-8))/((-17)/(-30))?
680
Calculate the common denominator of 6/(-10) - (-1190259)/1962940 and 26/9.
72108
Find the common denominator of (-6 + (-2382)/(-390))*(-12)/4 and 55/21.
1365
Let k = 12130 - 12116. Let j(q) = -6*q**3 - 2*q**3 - 3*q**3 - q. Calculate the least common multiple of k and j(-1).
84
Let y = 33124 + -28560. Calculate the smallest common multiple of y and 5868.
41076
Suppose 10 = 3*c - 0*b + 2*b, -5*b - 50 = -5*c. Let u(d) = d + 20 - 22 + 34. Calculate the least common multiple of u(-16) and c.
48
Let f = 4022 - 3802. What is the smallest common multiple of 110 and f?
220
Suppose 2*l - 3*g - 44 = 0, -5*l + 11*g = 12*g - 110. Calculate the smallest common multiple of l and 770.
770
Let n be (-2058)/27 - (-14)/63. Find the common denominator of -95/6 and 14/(-96)*-6*n/96.
192
Let j(y) be the second derivative of -11*y**2 - 14*y + 0 - 1/2*y**3. What is the smallest common multiple of j(-11) and 15?
165
Suppose 0 = 3*w - 2*u + 192, -4*w + 5*u - 45 = 204. Find the common denominator of 155/78 and (-586)/w + -4 - 40/8.
858
Find the common denominator of -39/161 and -1 - 12/5040*-388.
2415
Let h = -112454/147 + 765. Let u = h + -409/98. Calculate the common denominator of u and 399/(-54)*(-2 - -1).
18
Suppose -m - 3*x = -1125, -8*x - 740 + 3000 = 2*m. What is the smallest common multiple of 1665 and m?
3330
Let b(n) = 5*n**2 + 54*n - 283. Let w(i) = -3*i**2 - 28*i + 141. Let o(l) = -4*b(l) - 7*w(l). What is the lowest common multiple of 84 and o(13)?
756
Suppose -55*i - 51*i + 1125 = -97*i. Calculate the least common multiple of 10 and i.
250
Let v = 94540 + -41313954/437. What is the common denominator of v and (43/1118)/((-3)/(-2886))?
437
Let x(z) = z + 21. Let d be x(-4). Suppose -45 = 2*v - d. What is the common denominator of -37/20 and (9/20)/(v/30) + 0?
140
Let n be (21/(-2))/(-5 - 892/(-176)). Let t = n - -230. What is the smallest common multiple of 36 and t?
684
Let u(z) = 24*z**2 + 40*z - 23. Let k be u(-9). Suppose 42*b - k = 1085. What is the least common multiple of b and 14?
126
Let y = -18993 + 19573. What is the lowest common multiple of y and 90?
5220
Let x(o) = -o**3 - 12*o**2 - 14*o - 35. Let n be x(-11). What is the common denominator of 1 + 2 + 10/4 + n and (-3)/7 + ((-260)/35)/(-2)?
14
Find the common denominator of -29 and (-4)/42 + (-30543)/(-3843) + 1*-8.
61
Let q = -97/117807 - 52839945/3691286. Let g = q + 7/47. Calculate the common denominator of g and -21/4.
12
Calculate the smallest common multiple of 9573 and ((-3 - -1) + (-174)/(-15))*410/164.
76584
Let d = 124757/12 - 10405. Let w = 40659 - 3415513/84. Calculate the common denominator of w and d.
84
Let r(w) = 4*w**2 + 3*w + 5. Suppose -72 = -2*h - 2*h. Suppose -6 + h = -6*q. Calculate the lowest common multiple of 7 and r(q).
105
Let c = 1373 - 1303. Calculate the lowest common multiple of c and 126.
630
Let f be (2 - 0)*(-26 - -27). What is the lowest common multiple of (f - 28/(-6))*(-4 + 7) and 8?
40
Let p = -91258 - -59262. What is the common denominator of 4/(-38) - p/2166 and 67/159?
159
Suppose x - 310 = -4*x. Calculate the common denominator of x/(-20)*12/24 and (237/9)/(-4 - (-16)/12).
40
Let r = -3056 + 2460048/805. What is the common denominator of 52/1035 and r?
7245
Let k(a) = -a**3 - 16*a**2 - 11*a + 7. Let y be 6/14 - 18*24/28. Let b be k(y). Let f = 54 + b. What is the lowest common multiple of 6 and f?
6
Let g = -1643 - -1678. Calculate the least common multiple of 3880 and g.
27160
What is the common denominator of 37/23 and 272655/(-419980) - (6/(-9))/((-11)/(-3))?
92
Let x(v) = -2*v**2 - 1 - 4*v + v**3 + 2*v + 6*v. What is the lowest common multiple of (-2242)/(-114) - -8 - 1/(-5 + 2) and x(3)?
140
Calculate the lowest common multiple of -53*(2 - 22)*(-81)/(-108) and 15.
795
Suppose -5*j + 4 + 161 = 0. Let y(a) = -a**2 + 20*a +