Okay, this is from an owner of a 3million per annual sales small business, and your situation is completely unacceptable. Here's what I do and have done...
Save important files.
Take the whole computer back (in good condition) to the seller with one or two "respectible" looking and acting friends or elders.
Be ASSertive but polite.
Demand it be fixed asap, replaced, or a store credit be issued for another.
Do NOT agree to send it to the manufacturer for warranty. Your "contract" is between you and the seller; Their contract is with the manufacturer. If an item they agreed to sell breaks that's their problem, and if they don't want to deal with warranty returns then they should be more selective of whose products they sell.
Remember: The seller advertised the warranty to sell the item, therefore they accept that returns will occur and are willing to accept that risk and cost.
Make the reseller earn their profits.