Among 360 college students, a survey is conducted that 202 take math classes, 170 take philosophy classes, 173 take English classes, 93 take math and philosophy classes, 45 take philosophy and English classes, 73 take math and English classes, and 12 take all three.  How many students do not take any of math, philosophy, and English classes?

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Among 360 college students, a survey is conducted that 202 take math classes, 170 take philosophy classes, 173 take English classes, 93 take math and philosophy classes, 45 take philosophy and English classes, 73 take math and English classes, and 12 take all three.  How many students do not take any of math, philosophy, and English classes?  

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