+ 240, -5*k + 48 = f - 10*k. What is the lowest common multiple of f and 6?
48
Let o(m) = -16*m + 9. Let d be o(-14). Let g be (33 - d)/((-2)/3). Suppose 17*w - g = 2*w. What is the least common multiple of 16 and w?
80
Suppose 5*n + 70 = 65. What is the common denominator of ((-448)/90)/n + (-56)/(-70) and -4/45?
45
Let p(l) = 381*l - 1776. Calculate the least common multiple of p(10) and 678.
2034
Let h = -18242 + 19562. What is the lowest common multiple of h and 600?
6600
Let w = -3302269/19529580 + 2/46499. Find the common denominator of -79/21 and w.
420
Suppose -4*f + 11 = -n, -3*f + 3901*n - 30 = 3896*n. Calculate the lowest common multiple of 4281 and f.
21405
Let c = 5849 - 122800/21. Let i = 28359 + -425087/15. Let o = i - 559/20. Calculate the common denominator of o and c.
84
Let r be (4 + -2 + -1)/1. Let q be (1 - r) + (-19 - 44). What is the common denominator of 176/(-21) + 18/q and 34/19?
57
Suppose 43*d - 18 = 40*d. Find the common denominator of -58*12/(-640)*8/d and -89/18.
180
Let l be 674/10 + 0 - 6/15. Suppose m = g + l, -g - 3*m - 51 = -0*m. What is the lowest common multiple of 10 and 2/(-9) + (-1400)/g?
110
Let b = 2446052111/2680 + -912706. Calculate the common denominator of b and 17/20.
2680
Let r = -24028 - -24049. What is the lowest common multiple of r and 519?
3633
Let a = -12 + 15. Let j(u) = 60*u**3 + u**2 + 1. Let z be j(1). Let n = z - 52. Calculate the least common multiple of a and n.
30
What is the common denominator of 51/1565 and 1248392/(-54462) + (-7 - -30)?
4695
Suppose -11 + 4 = r. Suppose j - 1214*g = -1209*g + 450, -5*g - 1875 = -4*j. Calculate the common denominator of -79/4 and r/5 + 1 - 410/j.
76
Suppose -w - 15 = -4*z, -8*w + 2*z + 10 = -4*w. Let p be (-7)/(-42) + (-159)/(-18) + -2. What is the lowest common multiple of 10/(-12 + p)*(-5)/2 and w?
5
Suppose 70 = 29*b - 27*b. What is the common denominator of ((-40)/(-28))/(-1*12/b) and 79/51?
102
Let y = 87226/194259 - 3/9962. Calculate the common denominator of -1/624 and y.
624
Calculate the common denominator of -71/4 and (9 + -10)*(-85)/(-45).
36
Suppose 3*t = 7*t + 16. Suppose 19*d + 315 = 467. Calculate the lowest common multiple of 5/7 - t/14 and d.
8
Calculate the lowest common multiple of (256/28)/((-84)/(-294)) and 17.
544
Let z = 4367 + -3947. Calculate the smallest common multiple of 30 and z.
420
Let m = -26282 + 11352. Let s = m + 403175/27. Find the common denominator of 61/3 and s.
27
Let o(u) = 2*u**2 - 27*u + 176. What is the least common multiple of o(8) and 1122?
4488
Let u = -37882 - -303027/8. What is the common denominator of -35/2536 and u?
2536
Let u = 18269 + -18229. What is the lowest common multiple of 3300 and u?
6600
Let q = -387 - -453. Suppose 11 = -11*x + q. Calculate the smallest common multiple of x and 40.
40
Let y = -1781361/98 - -72711/4. What is the common denominator of -5/1204 and y?
8428
Calculate the common denominator of (-112)/(-1356)*(-9)/8*100/(-120) and -9/88.
9944
Calculate the common denominator of ((-195)/(-783) - 0)/(-13 + (4 - -10)) and -139/348.
1044
Let a = -250729/5 - -236437227/4715. Calculate the common denominator of a and -99/8.
7544
Let q be (-8)/(-28) + (-52)/(-14). Suppose 3*d + 11 = -q. Find the common denominator of (d/8)/(6/18) and 93/16.
16
Suppose 12*d - 6449 = -6209. What is the lowest common multiple of d and 2688?
13440
Let q = -2387/12 - -201149/1011. What is the common denominator of -59/14 and q?
9436
Let g = 5678551/33 + -172077. Suppose 4*s + 25 - 1 = 0. Find the common denominator of ((-4)/(-70))/(s/260) and g.
231
Find the common denominator of ((-9)/2)/(825/2450*(-7)/(-2)) and 21/11.
11
Let q = 14096 - 13424. What is the lowest common multiple of 416 and q?
8736
Let d be ((-2513)/(-14))/((-1)/2). Let j = -349 - d. What is the least common multiple of j and 67?
670
Suppose -2*b = -3*n - b - 13, 17 = -4*n + b. Let x be n + 16/5 - (-424)/5. Suppose 0 = -6*i + x + 24. What is the lowest common multiple of 18 and i?
18
Let a = -57 + 102. Let d(x) = x**3 - 17*x**2 + 83*x - 18. Calculate the smallest common multiple of a and d(9).
405
Let c be 48/9 - (-5)/((-45)/12). Calculate the common denominator of 157/c + -1 + (-120)/160 and 6/(-8)*(-162)/(-15).
10
Let p = 60979 + -43782995/718. What is the common denominator of 8/3 and p?
2154
Let m = -3/5735 - -29188/980685. What is the common denominator of m and 37/2337?
7011
Let h = 82 - 42. Let t be (-4)/(-2) - 26*(2 + -3). Suppose 4*s - 43 = 3*d + 24, 2*s = -4*d + t. What is the lowest common multiple of s and h?
80
Let f be ((-1)/4)/(6/231). Let m = -19/2 - f. Let h = 252717/22 - 11484. Find the common denominator of m and h.
88
Let y(j) = j**2 - 5*j - 7. Let t be y(5). Let w = t + 34. What is the lowest common multiple of w and (10528/4312 + 4/14)*11?
270
Calculate the common denominator of -73/66 and 720/(-900) - (-2698)/3360.
3696
Let z = 32071/684 + -433/9. What is the common denominator of z and (19/114 - 2/(-15))*-6?
380
Suppose 185*b - 10612 = 43778. Calculate the lowest common multiple of b and 294.
294
Let k be ((-96018)/(-570) - -6)*(-22)/(-76). Let u = 1/1805 + k. What is the common denominator of u and -19/11?
22
Let z(f) = 4*f + 128. Suppose -10*a + 459 = 219. Calculate the lowest common multiple of a and z(-27).
120
What is the lowest common multiple of (-1 + 1 + -61)/(-1) and (-70)/(-9) + 464/2088?
488
Let o = -34 - 64. Let c = 92 + o. What is the common denominator of 5/24 and (-286)/c*(205/40 + -5)?
24
Let a = 172167/40 - 4304. Calculate the common denominator of a and 89/756.
7560
Let d = -1322052 + 6542835375/4949. Find the common denominator of d and -18/707.
4949
Let o = -6629 + 106027/16. Let l = 7638/235 + -1/470. Calculate the common denominator of o and l.
16
Let r(h) = 4*h - 60. Let q be r(15). Find the common denominator of (-3 - -2) + ((-193)/(-96) - q) and 76/33.
1056
Suppose -r - 20 = -4*f, 15*r - 11*r = -3*f + 34. Let j be (3*(1 + 0))/(2/(-12)). Calculate the lowest common multiple of f and ((-12)/j)/((-8)/(-108)).
18
What is the common denominator of -127/252 and ((-145)/(-42))/(1656/(-28))?
17388
Let a(b) = b**2 - b + 6. Let m = 399 - 381. Calculate the smallest common multiple of 20 and a(m).
1560
Let x = -22808/1439 + -281668135/17268. Let g = -16340 - x. Calculate the common denominator of (6/(-80))/(4/46) and g.
240
Let x = 610 - 1188. Let l = -2325/4 - x. Calculate the common denominator of (2 - (-93)/24) + 1 and l.
8
Let v = 53/6 + -821/60. Suppose -78 = -5*u - 28. Calculate the common denominator of (-505)/18*2/u and v.
180
Let t = 9998 - 39710. Let g = -2763175/93 - t. What is the common denominator of g and 4/21?
651
Let c be 8255164/(-451) - (-12)/66. Let b = -66211253/3690 - c. Let o = 1814/5 - b. Calculate the common denominator of o and 75/28.
252
Suppose 18*o = 3*o - 4050. Find the common denominator of 1/(o/1968) + 8 and -67/85.
765
Suppose 0 = 187*q - 103*q - 101*q + 153. What is the smallest common multiple of q and ((-18)/(-8))/((-1)/(-4))?
9
Suppose -5*r + 3*c = -492, 75*r - 71*r - 396 = 3*c. What is the smallest common multiple of 24 and r?
96
Calculate the common denominator of (3 - (-119)/(-6))/((-132)/(-36)*-3) and -163/300.
3300
Let o = 18335928685/9404 + -1949801. Calculate the common denominator of o and -85/2.
9404
Let v = 27344609/26780 + -13274/13. Find the common denominator of v and 13/16.
8240
Let m = -161 + 286. Let j be ((-2)/5)/((-376)/m + 3). Suppose -5*v + j = -z - 3*z, 5*v + z - 25 = 0. Calculate the smallest common multiple of 31 and v.
186
Let i(y) = 3*y**3 - 2*y**2 + 4. Suppose 9*d - 38*d + 58 = 0. Suppose -8 = -d*q + 2*z, -14 = -3*q + 2*z + 1. Calculate the least common multiple of q and i(3).
469
Calculate the common denominator of (-32)/36 + (-88074)/(-77760) and -55/32.
160
Suppose 0 = -27*n + 354 + 294. Let d = 5 - -5. Suppose n = -d*a + 13*a. What is the smallest common multiple of 9 and a?
72
Let a(n) = 4*n**2 + 2*n + 2. What is the least common multiple of a(-4) and ((-13)/26)/(4 - (0 - (-51)/12))?
58
Let w = -1036/27 + 208577/5400. Find the common denominator of 23/75 and w.
600
Let m = 78 - -34. Suppose -2*q + 0*q = 5*b - m, 0 = 5*b + 3*q - 113. Calculate the lowest common multiple of 3 and b.
66
Let z = 1555 + -967. What is the least comm