Chatbots solve problems for me every day. The most common things are:
Asking about some topic I don't know much about.
Reminding me how to accomplish something using large libraries like matplotlib, pandas, sklearn, etc, including finding built-in functions that save me 5-10 minutes and 30-50 lines of code
Helping me find a better word to convey a certain meaning
Reminding me about some mathematical or econometric theorems so I don't have to go look them up
I mostly use ChatGPT and Claude. Claude is a bit better at spinning up code from scratch, I think. Chat is better at reasoning about things, including code.
The biggest problem AI solved for me was when Claude Code built a single-page applet for me from scratch that was meant to illustrate an educational point. (Basically, it runs a simulation to illustrate a point, and the user can set the parameters of the simulation.) I've never vibed anything more complicated than that.
Overall, i'd say that for this single page site, it did a pretty good job. I had to re-prompt it to add a few features, and had to correct it once or twice, and I can't remember anymore but I think I had to go in and modify the code directly once or twice as well.
I remember that to get it to work well, I often had to get it to reset its context memory.
matplotlib,pandas,sklearn, etc, including finding built-in functions that save me 5-10 minutes and 30-50 lines of code