> Long-term memory, for one.

Do you consider the protagonist of "Memento" to lack intelligence, then?

> Children at school are capable of "discovering" math solutions/methods that are known to others but hasn't been taught to them.

LLMs have already done that one: A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in math’s top journal if humans had done it alone

https://www.scientificamerican.com/article/ai-just-solved-an...

> Creativity in new areas without training.

To my knowledge, not something that has ever been done by humans, but again, it depends entirely on how you actually define the goal posts.

> There's nothing intelligent about a math processor, even if it's automated.

There's nothing intelligent about a bag of cells, but here we are.