Why did you reinstall Windows? Does the problem go back to a previous installed system that failed to run properly?
The stop codes you get are merely the memory dumps from the failure. It would be helpful to know the age of hard drive, and your Inspiron 1525.
Dell Diagnostics are excellent. Does your Inspiron 1525 have the diagnostics available when you press <F12>? If so, run them all. First the quick, then the full diagnostics. A full test of all Dell diagnostics can take two or three hours, but is worth the time.. Otherwise, use the Dell Diagnositics on CD that came with the computer, if they boot and run.
Otherwise, what do you get when you attempt a boot to safe mode?
(As soon as you press the <ON> button, press <F8> repeatedly to see if you get a low resolution reboot, with SAFE MODE as one of the choices.>
SAFE MODE is a good way for early detection of a hardware problem, and some tests you cannot perform in regular mode.
Other simple tests: use just one memory module. Then if good, shut down and reboot using the other. Any difference?
Next you might want to test the hard drive. Any chance you can borrow or buy another hard drive. There are now very low prices for laptop hard drives now at
www.directron.com,
www.zipzoomfly.com,
www.newegg.com,
www.tigerdirect.com,
www.outpost.com,
www.techdepot.com and Frys.
At this time, you still have a lot to check: you can suspect the hard drive, memory modules, video graphics card or port, CPU fan, bad connection to ethernet ANY device plugged into the computer. Use canned air such as Dust Off to clean the air channels.
You have the symptoms of a failed hard drive or failed memory or bad cooling system.
Keep good notes for every step you make, as it will become confusing after a while.
I am betting on the hard drive.