In conclusion, I think that the real score would definitely be much lower than a pass. Not to imply that an LLM (or whatever comes after) will not be able to do it in the future, but that moment is undoubtedly not today.

A2 is equally flawed. It gives the right solution, and a proof for n=1 but for n=>2 it basically bails out with "it's much harder to achieve a neat identity". So again, if the test requires a proof for the solution, this is definitely not it.

An all new Econ of AI starter pack (by @arpitrage.bsky.social) : go.bsky.app/DfnDyqb