How do I get an accident off of my record (besides the passage of time)

Made a claim for a scratched wheel. The scratch was very minor. I still have the wheel. The funny thing is that the new wheel still got scratched somehow! lol

Now that was considered an at fault accident since I admitted that I was the one that scratched it! Being truthful to a fault. Geico paid out under $500 for the accident.

To make matters worse about two years ago I got in another at fault accident. I bumped a lady at a red light while I was scooting up at three miles per hour. (I was distracted by my note cards on the way to a law school final.) Geico paid out Under $500 here as well. The woman even found me at my job and gave me $100 she felt so bad, because she thought that it was rediculous that they replaced the styrofoam under her bumber because it had a hairline crack.

So, now I have these two accidents. Is there any possible way for me to challenge these? Pay them back? Snuff them out? Expunge them?

They have just jacked my insurance up through the roof and it would have been better had I paid for both of them out of pocket than pay for even one six month policy period at this cost! What to do! Help!

I have not been with Geico for three straight years and I don’t think they offer accident forgiveness anyway, so that is out.