1. Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description. 2. The product of two consecutive positive even integers is 14 more than their sum. Find the integers. 3. Find three consecutive positive integers such that the product of the first and the third is 29 more than the second. 4. The length of a rectangle is 4 less than twice the width. The area of the rectangle is 70. Find the dimensions of the rectangle.