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Suppose eight square have sides of length 1,1,2,3,4,5,6, and 9 inches. Is it possible to piece these tiles together to form a rectangle?

Let f(x) =x^n + a(sub1)x^n-1 + a(sub2)x^n-2 ... a(sub n-1)x+a(sub n) be a polynomial with integer coefficients. Suppose there are four distinct integers a,b,c and d such that f(a)=f(b)=f(c)=f(d)=8. Can there be an integer k such that f(k)=3?

Peter, Tom, and Vincent have 240 cards altogether. Peter gave some of his cards to Tom and the number of Tom's cards was doubled. Then Tom gave some of his cars to Vincent and the number of Vincent's cards was doubled. If the three boys had the same number of cards in...