So i bought my suzuki savage about a week ago from someone who let it sit for 6 years. Before they had sold it to me they cleaned the carbs. At first it was running fine no problems but then the engine would randomly give out when i was giving it gas. The bike started up again but got died quicker and quicker until it wouldn't start at all.
I recharged the battery and replaced the spark plug. The bike ran great. Took a nice hour long ride through the mountains. Next morning rode it for 30 minutes and then the same problem happened. The engine just randomly died. Luckily i was close enough to walk it back home. Where i tested it out and let it idle and after 5 minutes the engine dies.

I'm just a college kid and this is my only mode of transport. Any advice would be greatly appreciated

If the bike is charging the battery properly...a bad battery generally won't stop a running bike - they just won't restart the bike once they drop below a certain level of voltage/charge.  When my last battery failed it gave no warning....just refused to start the bike or hold a charge - but if you jumped the bike the charging system would keep everything running fine until you shut the bike off.

You need to have someone check the voltage (voltmeter) of the battery and confirm that it is charging when it is running.  When the bike is not running the battery should be above 12 volts.....and while running it should be up around 14 volts if the charging system is working properly.

When the bike stops.....try turning the petcock to "PRIME" and see if the bike starts up again (maybe a petcock problem). Also try taking the fuel cap off the tank as you might have a clogged vent in the cap. 

I'll second the vacumn line or petc0ck being part of the problem.
 A quick test for the charging system is to start the bike and pull the ground wire off the battery. If the bike dies then the charging system is out of whack. If it keeps running the charging system is ok. Voltage should be around 14 volts at fast idle.
 If you have the battery out of the bike get it load tested, an older battery can hold a partial charge and cause all types of starting issues.
   Just reread your post and it sounds like there is a new battery in the bike so check the fuel system first..
   Try pulling the carb float bowl and seeing if there is any dirt or water in it. Just because the PO said he cleaned the carb doesn't mean he did it right.
 Make one change at a time so you can go back to the way it was if the fix didn't work.
Luck

it sat for years, either the battery is new or shot.
Must have tools
Small charger, don't wanna be cooking it.
Float charger won't do it.
Volt meter, HF cheapo is fine.
The screws aren't number two Phillips, but JIS. Phillips screwdrivers will strip stuff right out. Unless you grind the tip flat, till it fits into the X on the screw.
The tank might be rusty inside.
The petcock screen plugged, these petcock s are a known issue, swapping is cheap,easy and a good opportunity to empty some old gas..
The jets may be nasty..

First, the battery. Even when it's.  Cranking it over, it may not have power to fire the ignition.
If it sat for six years, I'd be getting a new one.

Battery is new. I'm also almost one hundred percent sure there. Rust in the tank because when I took it off to change the spark plug i heard stuff shaking in it. Could this be the cause the rust?

My air filter is beat and definitely need an oil change can these be contributing factors

I took the battery to advanced auto and they checked the battery and it was good. The bike starts up only on prime so im gonna go ahead and change the petcock. I'm also going to get the rust out of my tank. Change the air filter and get an oil change. After that all that i should be good to go. Later im going to post a video i took of the bike idling and then dying.

so i just got back from a vaction in DR where i ironically fell off a little 125 cc bike but thats beside the point.
i changed the petcock to the raptor and the engine wont even start up. what can i do