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Science Bowl Question

📅 MIT Science Bowl Invitational 2020🎓 HS🔄 Round 13#️⃣ Question 10🌟 BONUS📝 Multiple Choice

Researchers at the MIT Mathematics Department have been focusing on the problem of determining which numbers can be represented as the sum of three cubes, yielding the recent discovery of an expression of 42 as the sum of three cubes, one of which is negative. Which of the following numbers cannot be written as the sum of three cubes?

W) 5
X) 7
Y) 9
Z) 11
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