instruction:
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'.
question:
Problem: what is the smallest integer z for which 27 ^ z > 3 ^ 24 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
answer:
c


question:
Problem: if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by 
Options: a ) 6 only , b ) 6 and 12 both , c ) 12 only , d ) 18 only , e ) 12 and 18 both
answer:
b


question:
Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
answer:

b