2004 suzuki gsxr 600 lots of miles 55000 regularly maintained after every oil change the bike will smoke for about 5 to ten minutes of riding and will go away only does it after a fresh oil change and has been doing it since about 25000

I think the electric motor is to blame. but check an expert to fix it

Pinched wire in the harness causing no ignition, bad battery connections, etc

you need to replace the air temperature sensor. looks like this one https://www.ebay.co.uk/itm/Suzuki-GSXR-TL-SV-AN-600-750-1000-Air-Temperature-Sensor-1996-2009-13650-61B00-/182447458716?hash=item2a7ab7499c:g:-rYAAOSwopRYmblq

For motorcycles with 4-stroke engines: The white smoke from the exhaust means that the engine oil is leaking into the combustion chamber where the petrol burns. ... This eventually means that you have to get your piston changed along with the piston rings that prevent the engine oil leaking into the combustion chamber.

The stator is probably it..I had the same problem...After you change it the bike will run so much better. That's why it ran good with the new battery...Then it started draining it..It takes a special tool to get it out..

Bikes don't actually have alternators. The charging system on a bike has a generator and a regulator/rectifier. The generator might cost you a little bit but the regulator/rectifier won't cost a lot. Chances are one of those went bad which creates a large power draw and doesn't allow your battery to charge. Seems like it's a regular occurance with the K1's. I would suggest getting a repair manual and fixing it yourself. Might take you a day or two but it'll save you a lot in labor.

clean carboretur,carbonize your muffler

depends on your riding...40 if you haul ***! 47 if conservative, and possibly im not sure but you could get 52 if you derive like a car..but who drives a bike like a car? so i would say you get 45 miles avg.!

that bike has a cracked cylinder heaeed or even a cracked block.
Water in Oil is the key sign of an abused bike.