When you write "there's a notable difference between performing a literature search versus solving something de novo", you suggest that the questions we provided can be solved doing a literature search.

This is incorrect. What is correct is the following: When understanding the existing literature on a question in the dataset, one can derive the answer without creating new mathematics research.

So the difference is "searching the literature" vs "understanding the literature" that made me believe it. But if you didn't that's even better!