Similar concept that what I thought about (even though I didn't complete it), interestingly we didn't take the same approach.
However, I feel the game is just about praying RNGesus, since you don't have much options and can't predict what is about to happen.
Maybe if the edges could stack the next operators to come and the new number on the tile you left was the remainder of the operation, you could then create a few mathematical puzzles.