Deductions & credits

Thank you for the answer.  Next question, same topic...can my daughter get a Fed return higher than the Fed taxes paid?

 

So, we don't claim her as a dependent (per your answer).  She is doing her own return and checked that no one could claim her as a dependent.  She goes to college half time and works part time.  In round numbers...she made about $12,500 and paid $890 in fed taxes.  She was getting almost all the fed tax back ($850)...but then, we added her college tuition payments ($3400)...and her return went up to $1200.  NYS was similar...low return, then we added the college tuition payments and it went way up.  Is this correct?  So, Fed $890 W2 payments minus $850 return meant that she paid about $40 to Feds....but then the return went to $1200 (due to American Opportunity Credit)...can you get this much more return back like this?