Out of three consecutive positive integers, the middle number is p. If three times the square of the largest is greater than the sum of the squares of the other two numbers by 67; calculate the value of p.

A positive number is divided into two parts such that the sum of the squares of the two parts is 20. The square of the larger part is 8 times the smaller part. Taking x as the smaller part of the two parts, find the number.

The sum of the squares of two consecutive odd natural numbers is 394. Find the numbers.

The sum of the squares of two consecutive multiplies of 7 is 637.

Taking the bigger number x a positive number, find the smaller of these two angles.