Here, the context says that many times the people who suffer from depression do not get enough attention that should be required which in turn makes everything worse.
'Provoke' means try to make someone annoying. 'Invoke' means to call up something such as a law, higher power. 'Evoke' means to make someone remember something or feel an emotion. 'Prolong' means to make something last for a long time. 'Repercussion' means an unpleasant effect or result of something you do.
A verb is required here to talk about the resultant action. And 'depression' is a singular noun so a singular verb should be used here, 'prolongs' is the correct verb to show its lasting effects.
Hence, option (d) is correct.
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