TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: a = 5 ^ 10 - 625 ^ 2 and a / x is an integer , where x is a positive integer greater than 1 , such that it does not have a factor p such that 1 < p < x , then how many different values for x are possible ?

SOLUTION: two

PROBLEM: Problem: how many multiples of 7 are there between 10 and 100 ( both are inclusive ) ?

SOLUTION: 13

PROBLEM: Problem: a box contains 100 pairs of shoes ( 200 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?

SOLUTION:
1 / 199