Bluetooth keyboard not functional but mouse is functional

First let me tell you how I began to troubleshoot this.  Since I had no keyboard, I could not troubleshoot by typing "dell.com" into the browser.  I called Dell; the first person couldn't assist me unless I paid $49.  I asked him instead to send me an email with a link to dell.com, so I could click on it.  He couldn't/wouldn't do that, so I asked for a supervisor.  I explained all I really needed was an email with link to click on.  The supervisor couldn't/wouldn't help.  I asked for HIS supervisor.  Keep in mind, I've been placed on hold three times now.  While waiting for the third person, I was disconnected.

A friend finally sent me a link to dell.com.  I followed all of the troubleshooting steps; but none resolved my problem.  I was assigned a case number and told to electronically contact Dell with the case number.  Now tell me, if one is troubleshooting a keyboard issue, how is one supposed to type the blasted case number?

Anyway, I think it is some sort of reception problem because the keyboard holds a signal for about 3 seconds and loses it before the numbers to complete the pairing are entered.  I don't know how to tell if the problem is the receiver, the keyboard or something else.