Today, it is increasingly commonplace for human mathematicians to also outsource symbolic tasks in such fields as linear algebra, differential equations, or group theory to modern computer algebra systems. We still place great emphasis in our math classes on getting students to perform these tasks manually, in order to build a robust mathematical intuition in these areas (and to allow them to still be able to solve problems when such systems are unavailable or unsuitable); but once they have enough expertise, they can profitably take advantage of these sophisticated tools, as they can use that expertise to perform a number of "sanity checks" to inspect and debug the output of such tools.
With the advances in large language models and formal proof assistants, it will soon become possible to also automate other tedious mathematical tasks, such as checking all the cases of a routine but combinatorially complex argument, searching for the best "standard" construction or counterexample for a given inequality, or performing a thorough literature review for a given problem. To be usable in research applications, though, enough formal verification will need to be in place that one does not have to perform extensive proofreading and testing of the automated output. (2/3)