Pick the correct sentence:
- There were many more difficult problems than we were thought possible.
- There were much more difficult problems than we were thought possible.
I think both are correct. The first sentence talks about the amount of problems, many more problems, while the second sentence talks about difficulty, the problems were much more difficult.
Is my reasoning correct? If so, is one of the sentences more correct than the other, e.g. is one of the two more formal than the other?