Task: Question Answering
Input (English): Problem: if both 7 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? 
Options: a ) 99 , b ) 147 , c ) 363 , d ) 1200 , e ) 1625
Output (English): b