No we don't. Humans were capable of mathematics and analytical tasks long before the establishment of modern twelve year education. We don't require "installing" a program to do basic mathematics, as we would never have figured out basic agriculture or developed civilization or seafaring if that were the case. I mean, Eratosthenes worked out the circumference of the Earth to a reasonable degree of accuracy in the third century BC. Even primitive hunter gather societies had concepts of counting, grouping and sequence that are beyond LLMs.
If humans were as bad as LLMs at basic math and logic, we would consider them developmentally challenged. Yet this constant insistence that humans are categorically worse than, or at best no better than, LLMs persists. It's a weird, almost religious belief in the superiority of the machine even in spite of obvious evidence to the contrary.