TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: if a - b = 6 and a 2 + b 2 = 50 , find the value of ab .

SOLUTION: a ) 7

PROBLEM: Problem: a number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z . what is the greatest two digit prime saturated integer ?

SOLUTION: 96

PROBLEM: Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 65 , what is the greatest possible value of b × a ?

SOLUTION:
10