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Doesn't WolframAlpha already do this?
A calculator does most of it too, but this is a LLM that can do lots of other things also, which is a big piece of the "general" part of AGI.
Richard Feynman said “You have to keep a dozen of your favorite problems constantly present in your mind, although by and large they will lay in a dormant state. Every time you hear or read a new trick or a new result, test it against each of your twelve problems to see whether it helps. Every once in a while there will be a hit, and people will say, “How did he do it? He must be a genius!”
We are close to a point where a computer that can hold all the problems in its "head" can test all of them against all of the tricks. I don't know what math problems that starts to solve but I bet a few of them would be applicable to cryptology.
But then again, I have no idea what I'm talking about and just making bold guesses based on close to no information.
Even so, I think I'll hold off on calling anything AGI until it can at least solve simple calculus problems with a 90% success rate (reproducibly). I think that's a fair criteria, in my opinion.
I'd say more than that. I don't think anyone is that close to AGI...yet
And he said this in the 80s, when AI as we know it today was barely a concept.