I think I'd have great difficulty correctly formulating any of those questions... but supposing I could do so...

I want the answer to chess, which may or may not be believed but at least I could be smug about it.

And I want an answer to the problem of getting computers to learn through experience; depending on how much I get to take away with me a programme that can read/write fluent English would be nice but one that had the potential to *learn* to do so would be even better.