Task: Question Answering
Input (English): Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ? 
Options: a ) 198 , b ) 288 , c ) 363 , d ) 396 , e ) 468
Output (English): e