We had exams where the calculator was allowed, because we were tested on our ability to type in the right calculations. The calculator wouldn't save you.

Even in the 80s HPs would do derivatives (and simple integrals). But, open book tests are the worst, nothing could save you!

I still remember giving Mathematica a relational equation of the atomic radius expectation values for it to integrate by parts and collect terms... at the time it failed to find the right integrating factor and gave gibberish. Probably works now.