Solid game! I always felt in control of the dice and the extra mechanics as the levels went up just raised my enjoyment // influence over the randomness of the dice. The tutorials being part of the level also felt really good. Very learnable, well designed, and well presented.
My only, minor, bit of feedback, I didn't immediately grok "# of dice == # of flips required". Got there in the end, but confused me at first. I also didn't know how much "score" I needed to hit the next level, but all things pretty minor :)
Really well done!