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AHSME 1952 Problem 26

    If (r+1r)2=3\left(r+\frac1r\right)^2=3, then r3+1r3r^3+\frac1{r^3} equals (A) 1(B) 2(C) 0(D) 3(E) 6\textbf{(A)}\ 1 \textbf{(B)}\ 2 \textbf{(C)}\ 0 \textbf{(D)}\ 3 \textbf{(E)}\ 6

    Dataset text NuminaMath-1.5. Quoted with source.

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