Many people will say they do not like the q-jet. I like them when they are done right.
is it a used or rebuilt carburetor?
IF so
Have you checked the throttle shaft for play?
the main problems these carbs had if I remember correctly other than normal stuff were throttle shafts with excessive play, leaking well plugs.
What is the number on the Q-jet that you have?
what CFM is it?
Is it the one with the idle mixture screws originally hidden with the metal caps to prevent owner tampering? or factory exposed.
you can tell because the base of the carburetor at the idle mixture screws will look like it was mauled by a aluminum eating beaver.
The older one I think had exposed mixture screws that were not counter sunk into the base completely requiring a special tool to adjust the mixture.
The good news is the Q-jet is very easy to rebuild and parts are available I doubt you will find anything factory for it.
If you find the throttle shaft has play you can install bushings and new shaft if needed with a kit found in this link.
http://quadrajetparts.com/quadrajet-throttle-shaft-bushing-c-128_34.html
If the carburetor is a good match you can get a head start by rebuilding it and having it ready to go unless you purchased it rebuilt by a reputable place.
I will say carburetor cleaner is not as good as it used to be nor as toxic, yet you can still get some good cleaner from Napa.
this cleaner normally comes in a metal bucket some have a basket for smaller parts some do not.
You will likely only need this chemical one or twice then shove it away some where in the garage when your done.
Be careful if you do this because the metal with rust away and you will have one smelly mess on your hands.
One of my co workers did this with large 5 gallon bucket of this stuff which rotted out and leaked everywhere in his garage that was attached to his house, the smell from the chemical was bad enough, but this cleaner made its way into other chemicals he had laying around, I am not sure what.
When he came home from work the fire department was going door to door all up and down his street trying to determine where the toxic smell was coming from.
So if you have to use this chemical and not a ultrasonic parts washer use the proper PPE and store the left over chemical with a secondary containment.