I am dissapointed in that I have not been able to get a single mathematic equation produced (like famous ones), but I know they can?

Well, my understanding is that they actually can't. LLM's do "language" mostly based on what is called "next word prediction" so they basically look at the word and predict what the next most logical word would be. (Somewhat simplified). So numbers to them are not numbers but words, which is why they are fairly bad at them.

Opera has Aria, which is like the cleanest version of ChatGPT

Pass, not sure what stake the chinese owners have these days but Opera is a bit too.... feature rich in everything.

I do like working with just chat.openai.com for simple stuff. It is great at helping my debug things in areas I don't quite have all the knowledge I'd like. For example, I had to work on a shell script earlier in bash. Something I don't do often and as an added bonus it needed to work on both macOS machines and the bash version shipped with "git bash" on windows. MacOS GNU utils already function slightly differently at times, but git bash on windows is entirely broken in some areas. Where yesterday I spend an hour trying to find something relevant based on my input and the error I got through google chatGPT just managed to point out the pain point right away.

And that is where I feel chatGPT (in this case anyway) does a great job, troubleshooting issues about things that are not necessarily bleeding edge. I just presented it with a clear problem and a bit of context and asked why that could be the case. It also got it wrong a few times, but that is fine, it did safe me a bunch of time in the end.