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CMI2014-A-08

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What are the possible values of $gcd(7p + 94,\: 7p^2 + 97p + 47)$, where $p$ is an arbitrary integer?

  1. Either $1$ or $94$
  2. Either $94$ or $47$
  3. Either $1$ or $47$
  4. None of these
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