The link you posted does not work for me.
Here is the resource that I use:
http://h10025.www1.hp.com/ewfrf/wc/document?lc=en&dlc=en&cc=uk&docname=buu02549#Error386
I am unfamilliar with error 82, it sounds like its too low to be a normal fax error message. Checking the M525s support area I found this document:
From this page it would appear that anything other than a 17 or a 36 is a general communication error. You should try disabling a feature known as ECM (Error Correction Mode). ECM is known to cause many issues with modern day telephone lines.