Is Shimano Dura Ace BB-9000 compatible with Shimano 105 FC-5750 Compact Chainset? The crank fit when I tried to install it, but I really had to push it in to get it all the way in. Also taking it out involved some force.

Thank You.

Yes the Dura Ace 9000 Bottom bracket is Shimano Hollowtech II. The Shimano 105 5750, which is their compact double, is also a Hollowtech II crankset so you should be good to go. I have a bike with the 5700 crankset (standard rings) in an Ultegra BB (6700 series) and it works just fine. The only thing to consider is to ensure that the bb is 68mm as I am pretty sure that they all are as it Dura Ace is generally a road component because MTB bikes do use Hollowtech II as well which are 73mm