Exterior paint issue

It appears that some kids enjoy tossing eggs and my car now seems to have some residue that won't come off with any conventional attempts. Any ideas on how I can try to get the remainder off the car ??

Thanks.

wetsand and buff

Wetsanding and buffing will work, but I would try a clay bar first.
It's a lot safer on the finish.
A good polish would be my first try.

bug and tar remover works well too.