This is the reason I am suggesting people to give a try to perplexity.ai to understand how these tools will work in the near future. And why I don't understand the reason I am downvoted for that.

Current "free" chatgpt was created as a proof of concept, not as a finished, complete solution for humanity issues. What we have now is a showcase of llm, for openai to improve the product via human feedback, for everyone else to enjoy what is it already now, with all its limitations, an extremely useful tool.

But this kind of LLM is intended to be a building block of the future solutions. To enable interactivity, summarization, analysis features within larger products with larger and more refined set of features.

If you don't have paid version of chatgpt, again, try perplexity.ai with the copilot feature, to see a (still imperfect, under development) proof of concept of the near future of AI assisted research.

And more tools will come, that will make easier to navigate the huge amount of information that is the main issue of modern internet.

For your specific case, gpt 3.5 has poor logical and mathematical capabilities. Gpt-4 is much better with that. But still, using a language model for math is almost never a good choice. What you'd need, is an llm able to access information from the internet and to have access to some math tool, such as python or Matlab. These options currently are available on chatgpt with plugin, but they are suboptimal. In the future you'll have better product able to combine llm, focused internet search and math.

We should focus on the future, not on the present when discussing AI. LLMs based products are in their infancy