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: the number of singles that a baseball player hit increased 10 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 1 percent . if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?

SOLUTION: 4 : 7

PROBLEM: Problem: what should be added to 4872 so that it may become a perfect square ?

SOLUTION:
2