Hi
Welcome to the HP Support Forums!
I understand that you were having issues with your HP Photosmart C4750 Printer, so you uninstalled and reinstalled the HP Software, which seemed to cure the issue. I would be happy to help and please remember to return to this thread and mark 'Accept as Solution', if I have successfully helped you resolve the issue. If you wish to say 'thanks' for my effort to help, click the 'thumbs up' to give me a Kudos.
In order to assist you better, I will require more information.
Please clarify what you meant by, "there is no longer a print button anywhere on the system page".
What are you trying to print and from where? Please attach screenshots if possible.
Please respond to this post with the result of your troubleshooting. I look forward to hearing from you. Good Luck!