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assume that whatever integers you are using are the variables in this. If you haven't been given integers, assume (for the sake of simplicity) that they are one.

a * b * c * d * e * f = x

-a * b * c * d * e * f = -x

-a * -b * c * d * e * f = x

-a * -b * -c * d * e * f = -x

see a pattern?

any ODD number of negative integers will lead to a negative answer, therefore with the limit being 6, the answer will be 5.

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Q: If the product of 6 integers is negative at most how many of the integers can be negative?
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