Not to mention the absolute pile of "mathematics problems" that can't be solved except by pushing symbols around a page, which a calculator is absolutely useles

Not to mention the absolute pile of "mathematics problems" that can't be solved except by pushing symbols around a page, which a calculator is absolutely useless at. So sure I can have a calculator "calculate" an approximation for 4/3 but it can't help me manipulate the symbols around the improper fraction that i need to manipulate to calculate the radius given the surface area of a sphere. And it's of zero help in understanding the relevance of that "pattern" to whatever phenomenon I'm using the mathematics to reason about. That all requires human intelligence. There are a lot of calculators and other tools that can push the symbols around and many that can even apply some special high-level mathematical rules to the symbols. But whether or not those rules are relevant to the task at hand is entirely a matter for a human to decide.