instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 19 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
answer:
a


question:
Problem: in a group of 22 boys , 13 play basketball and 15 play football . 3 of the boys play neither . how many play both ? 
Options: a ) 18 , b ) 20 , c ) 21 , d ) 22 , e ) 25
answer:
a


question:
Problem: at an m & m factory , two types of m & ms are produced , red and blue . the m & ms are transported individually on a conveyor belt . anna is watching the conveyor belt , and has determined that 4 out of every 5 red m & ms are followed by a blue one , while one out of every 6 blue m & ms is followed by a red one . what proportion of the m & ms are red ? 
Options: a ) 1 / 29 , b ) 2 / 29 , c ) 3 / 29 , d ) 4 / 29 , e ) 5 / 29
answer:

e