I couldn't get GPT4 to answer it either, even with several variations on the prompt. It gets too fixated on the "bear" part, so it just assumes that the answer is "white", because that's a "common trick question".
I find it interesting that it disregards the rest of the question, and just picks "the most common answer to a trick question involving the color of a bear"!
https://chat.openai.com/share/67998d60-0f81-410e-ba8b-ec5a0f...