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Superglue seems to agree - Use acetone nail polish remover [HYPERLINK@www.supergluecorp.com] Test it in an inconspicuous spot to be sure it does not ruin the formica or corian.
Be careful with that acetone--it can soften things like finish and plastics (like Formica). But it is a solvent for SuperGlue.
If you tried the acetone already, and the surface of the Corian is not quite what it was, Corian can be sanded, just like wood, but it takes a very small grit to get it to its regular sheen. I have a Corian kitchen table top, white, which is always picking up marks from inks and newspaper print. For the stuff that bleach doesn't take out, I polish out the stains with Bon Ami. I prefer the bar form, as I think it has smaller grit, but the loose powder might work too.
Using a fine grit abrasive on the corian is your best bet. Depending on your finish. Use 220 grit, then 320, then a green scotchbrite pad (this is for a "standard finish"). Ask for the Formica the safest bet is to use lacquer thinner. That's what we use in our shop. Denatured alcohol can be used for final cleaning on the corian.