Try deleting the pages via the Tools - Pages - Delete dialog, instead of using the Pages panel.
Also, make sure you update your version of Acrobat to the latest available.
This behavior could point to a corrupt PDF file - even tough Acrobat should never crash, regardless of what bad PDF files you throw at it. Try the following: Select File>Save As and then save the file with a new filename. Does that throw an error? If so, you are dealing with a corrupt PDF file. If not, try to delete the pages from that newly saved PDF file (a "Save As" will recreate the internal PDF structure, and if is possible that you can delete pages from that - now cleaner - file.
Tried that and it also crashes.
I am up to date on the software.
It also does it with all PDF's so its not corrupt. I can edit on a different workstation via dropbox or server so it is the exact same file and it works on that workstation.