Hello again!
Just wanted to say that an updated version of the game is out now, where most of your suggestions have been implemented! There's a dev log in the game's page, but to make it short here's the new things: lv 1 is now a sort of tutorial and cannot be brute-forced, forcing players to understand the mechanics from the very start. Both when you input the right or the wrong solution, dice results will be displayed so that players can analyse what went wrong/right and make test to understand the process behind the rolling. Initially I also added a value that displayed each modified result, but at the end I've decided to remove that: it's not in the spirit of the game, making it extremely linear and clear, and it eliminates the need of testing and exploration. Anyway, the improvements above balance this choice and I think that everything works fine.
There are also new quality of life features, but most importantly a new (secret) level to try out!