I'm thinking two things here by it dieing when hitting the throttle:
1. Not enough gas getting to carb.  Starves and dies
2. Not enough air getting to carb. Goes way rich, floods and dies.

So far, been looking at #1.  More on that.  
If you have good gas flow coming out of the line (with petcock on prime), hook it back up to the carb.  Open the bowl drain, let it empty, then put the petcock on prime again and see if you have good flow out of the drain.  If so, the float valve is staying open far enough to let plenty of gas in.  If it barely dribbles out of the drain, but you had good flow from the line, there is something wrong with the float valve.  There is a screen that is part of the valve, and that could be clogged up.

#2:
If the slide in the carb is stuck, or won't rise for some other reason, you won't get enough air through the carb and it will go very rich.
Mine kept running when I had that problem, but it sounded sick when I cranked on the throttle, and the bike would not go over 30mph.
You can try tapping the slide compartment when you open the throttle, but the only way to tell for sure if it is stuck, is to watch it, which means pulling off the boot between the air box and carb so you can see it.

You bought a used carb.  I really doubt it was opened, cleaned and checked before they sent it out.
"This came off a running so and so bike".  When?  How long did it sit? Who knows?

TS, I would take a look at this thread http://suzukisavage.com/cgi-bin/YaBB.pl?board=tech;action=display;num=1098869040. In the second post in the exploded view, the screen is number 19.

The slide is number 9. Scroll down a little in this thread and there is a nice view http://suzukisavage.com/cgi-bin/YaBB.pl?num=1309246277

TS wrote on 08/09/12 at 13:16:29:


CalisOsin is correct on the parts I was referring to.   The slide is that big round cylinder that slides up into the top of the card.
You can get to the screen, float, etc, by dropping the carb bowl without taking the carb off the bike.  HOWEVER, it is awkward to work that way (upside down), and too easy to drop stuff that will roll to parts unknown.  The most I would do if just dropping the bowl would be to make sure the float is moving OK.  Maybe pull the jets to see if they are clear.  Maybe lightly spray some carb cleaner down the fuel line hole to see if that helps clear anything out.  (What you want to do is clean the screen the other way, from bottom to top, but the float and valve and stuff are in the way)
To get to that screen, you have to take off the float.  Easier if the carb is off the bike.

Id get the tube off the carb so I could see the slide in action.

oh yea...can I use any carb cleaner or do I need to get something special? I don't want to use the wrong thing. Thanks.

TS

TS,
Carb cleaner.. like rfw said, keep it away from the rubber parts.  That is one reason I said "Maybe lightly spray some carb cleaner down the fuel line hole to see if that helps clear anything out." and only do it with the bowl OFF the carb.  You only want to clean out that screen, not spray it all over the place!

If you go to the part of watching the slide.
It will pulse up and down a bit at the speed of the engine.  As you increase throttle, it should rise up in to the carb body, and will still be pulsing.  If it doesn't pulse or move up, then it is stuck or something else is keeping it from moving.  Turn off the bike, and try moving it manually.  If it moves (or starts moving) freely.  Start it up and look again.  If it still doesn't move, then odds are the diaphram at the top of the slide is leaking.
If you are going to go deep into the carb, you should just tear it down and clean it.  There are instructions in the Tech section.
It's not hard,  but you need to be careful!

Make sure you read back through the thread and try to find the cause of the problem by eliminating possibilities.  The easy stuff first.  Check results after you do something.
Lets say you only get a trickle from the bowl drain.  when you take off the bowl, try the gas again to see if you are still only getting a trickle pass the float valve, as it is possible that the bowl drain was only allowing a trickle, and that doesn't mean anything!

Good luck!