It's not even on the first page for me (logged in, in the UK.)

5th for me with this as information:

  DuckDuckGo — Privacy, simplified.
  https://duckduckgo.com/
  The Internet privacy company that empowers you to 
  seamlessly take control of your personal information 
  online, without any tradeoffs.

‎ Other Settings · ‎DuckDuckGo Search Box · ‎About DuckDuckGo · ‎Press Kit

Although the word search is mentioned in the info I would not make this out as a alternative search engine at first glance.

Well that's on DuckDuckGo. They could make it more obvious if they wanted. Interestingly, when searching duck, DuckDuckGo went from 2nd to 1st.

First result for me.

Since Google results almost always vary by geographic location, according to the bottom of the page, Google thinks I'm in "Bernalillo County, New Mexico."

I have no idea where that is. I haven't been to New Mexico in close to 20 years. I'm currently almost 1,000 miles away from New Mexico.

Good jorb, Google.

This sends a clear message: Bing should adopt a duck theme and try to get duck searches directed towards itself.

7th for me (not counting the callout stories/maps/videos sections that split up the results)

Personalized results

How? I'm at work (so tracking me personally by IP is probably hard since there's hundreds of different people using the same IP) and using an incognito window. Using a different browser (that I used once or twice), incognito again, gives me the same result.

Nineth for me, Italy, not logged in