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MathNet 2026 — Part 04 Question 172

Math Olympiad Vault · MathNet 2026 — Part 04

Question 172

Let $r$, $s$ and $t$ be the roots of the cubic polynomial
$$
p(x) = x^3 - 2007x + 2002.
$$
Determine the value of
$$
\frac{r-1}{r+1} + \frac{s-1}{s+1} + \frac{t-1}{t+1}.
$$