HMMT 2024 A4

Let $f(x)$ be a quotient of two quadratic polynomials. Given that $f(n)=n^{3}$ for all $n \in\{1,2,3,4,5\}$ , compute $f(0)$ .

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{24}{17}

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