Logic
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The digits from zero to nine are competitors in a new reality TV show. Which digit will win?
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There are infinitely many angles between 0 and 90 degrees for which sine and cosine values are both rational. Create a proof.
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Use a proof by induction to predict the value of the sum of the first n perfect squares.
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Prove by contradiction that the harmonic mean of two positive numbers lies between the two numbers
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