In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Q: Problem: if 2 ^ 5 , 3 ^ 3 , and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ? 
Options: a ) 26 , b ) 39 , c ) 42 , d ) 65 , e ) 168

A: e
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Q: Problem: gold is 10 times as heavy as water and copper is 6 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ? 
Options: a ) 3 : 2 , b ) 1 : 1 , c ) 3 : 1 , d ) 5 : 2 , e ) 4 : 3

A: b
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Q: Problem: if a and b are integers and ( a * b ) ^ 5 = 144 y , y could be : 
Options: a ) 40 , b ) 48 , c ) 56 , d ) 62 , e ) 54

A:
e
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