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Dorothy has a mysterious  button on her calculator. When she types in an integer and hits the  button,

if the input is odd, the calculator outputs  less than triple the input.

if the input is even but not divisible by , the calculator outputs  more than half the number.

if the input is divisible by , the calculator outputs one-fourth of the input.

Dorothy typed in an integer, hit the  button, and saw an output of . What are all possible integers Dorothy may have input?

 May 18, 2020
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Where are the INTEGERS in your question ?

 May 18, 2020

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