There is a totally logical path through this puzzle - for myself I've only really worked out what it was backwards, since rather like a maze you tend to find the dead ends before the actual route. Anyway that makes it a very impressive construction I think. The misprints in non-starred clues surely are necessary otherwise this would be close to a trivial puzzle - since none of the algebraic expressions is all that long and most are simple multiplications.
I suppose the fact that I've loved maths since I was seven makes me biased, but why do people dislike number puzzles so much? They're exercises in pure logic, purer surely than any word listener. To be fair I had the same reaction when I saw this one. "Oh goody, a number puzzle, I've been looking forward to oh my god, misprints?!!" Was probably how I spend the first half an hour with this one. It's just about getting over that step of being overawed, and then some (a lot of) prime factorisation and knowledge of squares, cubes, fourth powers etc., and you're half-way to this finish already in this one.