For the past couple weeks when I flush the toilet it makes this weird moaning, whale-mating call type noise for up to 30 seconds after I flush. Seems to get longer every time. I have taken the top off the toilet and it looks like the part of the toilet in the back left (I am not familiar with terminology) is making the noise. Any ideas?

If you don't know the terminology you are going to think I made this up. That thing is your ballcock and its valve washer is loose and vibrates. You can buy a new ballcock (yes it is) for about $7 at most hardware and box stores. If you need help installing come back to us when you have your parts. It is not a difficult job and most home owners can do this.

Before you go through the hassle of changing out the ballcock try this. Shut the water off to the tank at the stop located directly under the tank. Remove the three screws holding the top of the stem, washer and float ball assenbly. Now remove the washer and turn it over. Press it in place firmly and reassemble. Did the whale swim away when you flushed? Let me hear from you. Good luck, Tom