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There's no way to know without knowing your total income fr the year...and even then it would be a guess.

If you total income is  35,000, and standard deduction, you may owe the IRS $100-$200...but income less than that you could owe nothing.

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You shouldn't claim"exempt" at work...we usually recommend putting 8-10 allowances on the W-4  you submit to your employer in this situation.

.....but if you have income significantly higher than $35,000, you will start owing the IRS significant amounts unless you start withholding.  In that case, a W-4 with fewer allowances would be appropriate.

____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*