Using 50 coins of pennies, dimes, and quarters; how many ways can you make $3.00?

Add together the digits of 4444⁴⁴⁴⁴ and let this sum be A.  Then add together the digits of A and let this sum be B.  Finally, add together the sum of the digits of B and let this sum be C.  What is the value of C?

How many integer (x,y) solutions exist to:
(1/x)+(1/y) = (1/2014)

How many different ways can you write the number 120 as a sum of one or more consecutive integers?

How about the number 513?  2014?

What are the last two digits of the number " 2²⁰¹⁴ + 0²⁰¹⁴ + 1²⁰¹⁴ + 4²⁰¹⁴ "?

 A equilateral triangle and a perfect square are inscribed within a circle with radius 1.  What is the area outside of the triangle and the square, however still inside the circle?

Imagine a hollow cube. A ant is placed in a corner and a spider in the opposite corner.  Both start to move along cube edges and when they each reach a corner, they can move in any direction (x,y,z) with probability 1/3.  Both also move from corner to corner at the same pace.  To the nearest percent, what is the probability that after 10 times of changing corners, the spider has ran into the ant?

If a dog with a 9ft. leash were to have the other end of the leash tied to a corner of a 4ft. x 4ft. square shed, how much room would he have to wander?

Here's one of the typical "A train is moving this fast..." problems, except with a twist!

Well, Happy New Year 2014!  Speaking of which, how many zeroes are there at the end of "2014!" ?

This is 2014 factorial.  In other words, "1 * 2 * 3 * 4 * ... * 2013 * 2014"