On 44, move the puzzle piece with the # 44 in it. Behind that piece there is a piece with what looks like a circle in it. Click on that circle to advance another screen.
I'm with you, ARLO1. I'm having trouble with 59 as well. It's a timed piece. Something about charging your lazer. Any clues? I keep clicking on the mouth and some light gets bigger but then the face gets blown to smithereens.
This game is driving me

and giving me a

!