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An algebra problem by Aryan Gupta

Algebra Level 3

If $a^2 + b^2 + c^2 +\frac1{a^2}+ \frac{1}{b^2} + \frac1{c^2} = 6,$ find the smallest possible value of $a^3 + b^3 + c^3.$

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by Aryan Gupta

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