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What does Hume mean by "reason is the slave of the passions"?

Mathematics is the most rational, but if you think about the process of doing math problems, no matter how rigorous the reasoning is, it cannot be separated from the initial inspiration.

Is inspiration considered passion or rationality? Also, when you don’t want to do the questions and want to play, does your rationality serve you to find reasons to play or does it serve you to do the questions?