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W = mg, where W is weight, m is mass, and gis 9.8 m/s2

9.8N = 9.8kg•m/s2

m = W/g = 9.8kg m/s2 / -9.8m/s2 = -1.0 kg

Negative mass is an absurdity, indicating that negative weight is an absurdity. Probably whomever set the question is considering weight as a vector under an "up is positive" convention. That is technically correct, but not conventional. Weight is usually discussed as positive, its downward direction being understood.

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Q: What is the mass of the body whose weight is -9.8 newtons at sea level?
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