Click Flag and go into turbo mode. When the background turns red, it means it has found one of the answers. The answer in the numbers in the used list, the hundredth place is the rotation of the piece (clockwise), and the tens and units place is the piece used (according to Mr. Ferrante's numbered set of the puzzle pieces). After you have seen and/or recorded the answer, press space to generate the next one.
Thanks to Mr. Ferrante for lending my brother his set of The Ultimate Puzzle. Too slow? Go See inside and navigate to the bottom of the page and click the code marked "CLICK". Information of the puzzle can be found here: http://www.theultimatepuzzle.com/HomePage.html