Seriously--it is not your employers responsibility to take out "enough" taxes for you. Thats all on your shoulders!!
When you get a check, you should always look at how much federal/state is being withheld. If there is too much, or not enough, it is YOUR responsibility to fill out a new W4 form to adjust it.
Part-time jobs rarely withhold enough taxes, even if you have several part time jobs. The government views each job as your only job, and pretty much gives you your entire wage. You need to withhold an additional $5-10 per check with part-time jobs if you don't want to pay in.