HMMT 1998 A9

Suppose $f(x)$ is a rational function such that $3 f\left(\frac{1}{x}\right)+\frac{2 f(x)}{x}=x^{2}$ for $x \neq 0$ . Find $f(-2)$ .

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{67}{20}

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