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MathNet 2004 — Part 03 Question 31

Math Olympiad Vault · MathNet 2004 — Part 03

Question 31

Compute:
$$
\left\lfloor\frac{2005^{3}}{2003 \cdot 2004}-\frac{2003^{3}}{2004 \cdot 2005}\right\rfloor .
$$