i don't get what the point of what you are saying is? i can ask it to explain how to solve an integral right now with steps.
i can ask it to tell me how to write like a person X right now.
Is the reason it can show steps for solving an integral because the training set contained webpages or books showing how to do it?
"Explain how to solve" and "write like X" are crucially different tasks. One of them is about going through the steps of a process, and the other is about mimicking the result of a process.