The term "be remunerative" typically relates to monetary compensation or profit, so negative antonyms would include words such as unprofitable, unrewarding, or non-lucrative. Unrewarding suggests a lack of satisfaction or fulfilment, while unprofitable implies a lack of financial gain. Similarly, non-lucrative denotes a lack of monetary benefit. Positive antonyms for be remunerative could include words such as fruitful, profitable, or advantageous, indicating a favorable outcome or benefit that results in financial gain. Ultimately, the appropriate antonym would depend on the context in which the phrase is used.