TASK DEFINITION: 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: Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 100 , then the greatest possible value of a is between : 
Options: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9

SOLUTION: c

PROBLEM: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 3 ) , what is the value of w ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15

SOLUTION: c

PROBLEM: Problem: 16.02 ã — 0.1 = ? 
Options: a ) 0.1602 , b ) 0.001602 , c ) 1.6021 , d ) 0.01602 , e ) none of these

SOLUTION:
c