I could see a situation where you want the LLM to take a guess, compare it to a calculation, and if they differ, analyze whether it misinterpreted the question.

I could see a situation where you want the LLM to take a guess, compare it to a calculation, and if they differ, analyze whether it misinterpreted the question. Obviously, it could misinterpret the question, feed the wrong info to the calculator, and then arrive at the same wrong answer as well, so still not foolproof.