In the xy-plane, the point (-2, -3) is the center of a circle.  The point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle.  If the radius r of the circle is an integer, then r =

The figure above represents a square garden that is divided into 9 rectangular regions with indicated dimensions in meters.  The shaded regions are planted with peas, and the unshaded regions are planted with tomatoes.  If the sum of the areas of the regions planted with peas is equal to the sum of the areas of the regions planted with tomatoes, what is the value of x?

The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8.  If there are 72 black cars in the lot, how many red cars are there in the lot?

The infinite sequence a₁, a₂,…, a_n,… is such that a₁ = 2, a₂ = -3, a₃ = 5, a₄ = -1, and a_n = a_n-4 for n > 4.  What is the sum of the first 97 terms of the sequence?

~$\sqrt{2\sqrt{63}+\frac{2}{8+3\sqrt{7}}}$~=

If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?

According to the table above, what was the total number of watts of electricity used for the four appliances in the household on May 1?

Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.  If the two machines work simultaneously at their respective constant rates, how many hours does it take the two machines to fill ~$\frac{1}{2}$~ of that order?

If n is a positive integer, which of the following is a possible value of |56 - 5n|?

If ~$\frac{30!}{10!}$~ is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?