## 13 Nov 2013

### OEMO 2013 Advanced Q2: Upper Secondary Mathematics Competition Question

Determine all integers x satisfying

$\left&space;[&space;\frac{x}{2}&space;\right&space;]\left&space;[&space;\frac{x}{3}&space;\right&space;]\left&space;[&space;\frac{x}{4}&space;\right&space;]=&space;x^{2}$

(Hint: [y] is the largest integer which is not larger than y.)

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This space is here to avoid seeing the answers before trying the problem!

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