instruction:
You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
question:
Question: The product of the prime integers between 23 and 35, inclusive, is:

 Option A: 50! – 40!

 Option B: 99,029

 Option C: 2,303

 Option D: 22,011

 Option E: 2,000
answer:
Option D


question:
Question: The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

 Option A: 17

 Option B: 16

 Option C: 15

 Option D: 10

 Option E: 13
answer:
Option D


question:
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 53, what is the value of x?

 Option A: 52

 Option B: 53

 Option C: 54

 Option D: 55

 Option E: 51
answer:

Option E