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'.

[EX Q]: Problem: if w is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of w ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
[EX A]: c

[EX Q]: Problem: the sum of three consecutive multiples of 3 is 117 . what is the largest number ? 
Options: a ) 45 , b ) 48 , c ) 51 , d ) 42 , e ) 54
[EX A]: d

[EX Q]: Problem: what is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1 ? 
Options: a ) 200 , b ) 320 , c ) 480 , d ) 500 , e ) 600
[EX A]:
b