Welcome to Linux Questions!
Firstly, a tip on posting. Always create your own thread; don't just add to an existing one. A new thread will be more likely to get noticed, and it will appear on the zero-replies list.
A search on the internet shows that quite a few people had problems with that computer. Several got results by installing a 32-bit version. The difference in performance is not much, and the computer spends most of its time waiting for input anyway, except when playing games or number-crunching. Try the 32-bit version of Mint and see what happens. If there's a problem, come back and tell us exactly what it did.