I HAVE TH HP-3505 AND IT TAKES FOREVER TO PRINT EVEN A TEST SHEET WITHOUT THE COMPUTER

SOURCE: keeps printing test sheet

I just had the same problem after putting in a new black cart. Try this:

• Open HP Director
• On the main window select Settings>Print Settings>Printer Toolbox
• Open the Configuration Tab
• At bottom right click "Factory Settings" button then "Apply"
  

SOURCE: keep printing test sheets

I had the same problem and after working with a HP technician discovered that the HP alignment page will continue to print until a successful alignment is completed. The HP technician stated that in order for a successful alignment to occur both cartridges need to be at least 50% full. In my case I replaced the black cartridge but, the color cartridge had less than 50% ink. I replaced the color cartridge, performed the alignment and the alignment page stopped printing. What a waste of ink.

SOURCE: HP AIO 6110 taking forever to print

Cant speak for the model you have but generally withing control panel... printers there is a control screen for your printer under properties that shows what resolution of print is being used Fastprint... High qualit... and super print
If you can see this then reduce the resolution to quick print and see how it performs then.

SOURCE: hp C3180 printer prints test page every time i turn it on

None of the solutions I read here helped until I found this solution and it worked:
I suspect the page is a calibration page. If so you need to allow it to print and then place it face down on the scanner bed and press the scan button, the printer will then complete the calibration and you should not have to do this again until the next time you replace a cartridge.
Note that if either cartridge is not printing correctly the calibration may fail so you need to have good working cartridges for the process to complete.

SOURCE: The HP Photosmart c3180 prints a color test sheet

Replace all ink carts with new ones to get a sucessful alignment.