What can I use to get some stains out of my oak table? The stains consist of egg dye from Easter egg kits.?

Question:

Answers:
I copied this from the link below: Mix dishwashing detergent in hot water and swish to make a great volume of suds. Dip a cloth in only the foam and apply. Rinse with a clean cloth moistened with clear water. Polish or wax as soon as possible. (It's the last thing on the page of the link.)

I myself have had wine stains on antique furniture, the soap does take it out, but you may need more than one attempt.
After you do this, the detergent will dry out the wood. I have found that lemon oil is the best moisture replacement. Apply lemon oil evenly with a dry washcloth and lightly rub in. You will probably need more than one application of lemon oil also, wait a day inbetween applications of lemon oil to see how much has been absorbed.
One thing you didn't tell us was what kind of finish your table has, but I'd still try the above methods no matter what it is.