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If you have NOT installed ram recently that was not installed previously.....
You can get the IRQL_NOT_LESS_OR_EQUAL error, often along with a mini dump, from many causes, but sometimes it can be just because the ram module contacts are not getting a good connection - this worked for me when I got that error:
A common thing that can happen with ram, even ram that worked fine previously, is the ram has, or has developed, a poor connection in it's slot(s).
This usually happens a long time after the ram was installed, but it can happen with new ram, or after moving the computer case from one place to another, and I've had even new modules that needed to have their contacts cleaned.
See response 2 in this - try cleaning the contacts on the ram modules, and making sure the modules are properly seated:
For a laptop, you must remove both its main battery and AC adapter before you do that.
If you HAVE installed ram recently that was not installed previously, it may NOT be 100% compatible with your mboard's main chipset, or for recent mboards, not 100% compatible with the memory controller built into the cpu.
If you still have the same ram that was installed in it before, try installing just that ram, and see if your problem then goes away.
If you DO NOT still have the same ram that was installed in it before, or you could do it an any case, you should test the ram.
If you do a ram test, do that AFTER having tried cleaning the contacts and making sure the ram is seated properly - otherwise any errors found may be FALSE.
If the ram is incompatible with the chipset, it will likely FAIL a ram test - that is NOT a true indication of the ram being faulty - there is probably nothing wrong with it, and it will pass the test if installed in a mboard it is compatible with.
If a ram test DOES find errors, if you have more than one module installed, try the test with one module at a time - sometimes they won't work properly when more than one is installed, but it will pass when by itself.
If you want to try a memory diagnostic utility that takes a lot less time to run a full pass than memtest86 does, this one is pretty good - Microsoft's
Windows Memory Diagnostic:
It can be toggled (press T) to do a standard or a more comprehensive set of tests - use the default 6 test one first - if it passes one pass of that, use the latter one. A few of the tests in the latter set are intentionally slower.
If you don't have a floppy drive, see the Quick Start Information at that Microsoft link for how to make a bootable CD of the Windows Memory Diagnostic (you need Windiag.iso - you don't necessarily need to use the program they mention to add it to the CD).
If that doesn't help, if you can access the computer normally sometimes, you can take steps to analyze the contents of the mini dump, and you may find the cause within that.