a human has motivation and agency.

An "AI" is a box which lies dormant until a human, with motivation and agency, enters a prompt into it.

A person or company can use it in a way where it might invent something. but at the end of the day, its a tool, and its actually not doing anything on its own.

Its not solving math problems, a mathetmatician is using it to solve math problems. Just cus OpenAI is acting like its AI is solving stuff, its really not. They're just paying people to use AI to hammer problems.