Excel in math, science, and engineering

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Filling a \( 5 \times 5 \) grid with distinct integers from 1 to 25, what is the minimum of the maximum of the differences between 2 squares that share a common ...

How many pairs of positive integers \( x \leq y \) satisfy

\[ xy = x + y + \gcd(x,y) ? \]

How many solutions does the equation below have?

\[ \Huge| \huge| \Large| \large||x-8| -10|- 4\Large| \large-5 \huge| \large-1 \Huge| \large{=0} \]

Consider an air traffic system with k airlines. Suppose that

1) direct service between two cities means round-trip direct service

2) each pair of cities has direct service from at ...

A list of six positive integers \(p,q,r,s,t,u\) satisfies \(p<q<r<s<t<u\).

There are exactly \(15 \) pairs of numbers that can be formed by choosing two different numbers ...

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