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'.

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
c

Problem: in a group of ducks and cows , the total number of legs are 36 more than twice the number of heads . find the total number of cows . 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
d

Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 5 . if p is less than – 2 , what is the value of p ? 
Options: a ) – 16 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14

a