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HMMT 2007 A1

  • Algebra
  • Answer

Compute

⌊2007!+2004!2006!+2005!⌋\left\lfloor\frac{2007!+2004!}{2006!+2005!}\right\rfloor

(Note that ⌊x⌋\lfloor x\rfloor denotes the greatest integer less than or equal to xx.)

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 2007 F3.

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2006

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