In this task, you need to provide the correct option for a given problem from the provided options.

Ex Input:
Problem: how many of the positive factors of 17 are not factors of 34 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4

Ex Output:
a


Ex Input:
Problem: the ratio of the adjacent angles of a parallelogram is 8 : 10 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
Options: a ) 168 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) 164 °

Ex Output:
e


Ex Input:
Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15

Ex Output:

c