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, 2009

Number theory Difficulty 2.0 Junior Find the answer Canada

The number of integers $x$ for which the value of $\dfrac{-6}{x+1}$ is an integer is

(A) $8$ (B) $9$ (C) $2$ (D) $6$ (E) $7$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.