The results on DuckDuckGo, Google, and Bing aren't drastically different (setting aside the big banner), but Google's top result for that is suicide prevention website, at least for me. And it's relatively constant when the search is, "Best way to kill myself," "Effective suicide methods," "How to end my life," and other similar synonyms for suicide.
To be fair, it's Hard to say whether it's bias or very skilled SEO. But the first result at least for me is consistently a suicide prevention site.