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This set contains problems that are named Your Mind Will Explode. The problems, of course, are hard.

There will be \(\color{magenta}{50}\) problems on the set, and of course, the last problem, will be \(\color{grey}{IMPOSSIBLE}\) 💀 to answer!

I will create more ...

A basketball player has a constant probability of \(0.4\) of making any given shot, independent of previous shots. Let \(a_n\) be the ratio of shots made to shots attempted ...

The decimal representation of \(\dfrac mn,\) where \(m\) and \(n\) are relatively prime positive integers and \(m < n,\) contains the digits \(2, 5\), and \(1\) consecutively, and in that ...

Let \(w_1\) and \(w_2\) denote the circles \(x^2+y^2+10x-24y-87=0\) and \(x^2 +y^2-10x-24y+153=0,\) respectively. Let \(m\) be the smallest positive value of ...

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