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MMLU / Suppose that a,b, and c are positive integers satisfying …

Problem

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question

Suppose that a,b,a,b, and cc are positive integers satisfying (a+b+c)3−a3−b3−c3=150(a+b+c)^3 - a^3 - b^3 - c^3 = 150. Find a+b+ca+b+c.
Plain-text mathematical notation (without MathML)
Suppose that a,b, and c are positive integers satisfying (a+b+c)³−a³−b³−c³=150. Find a+b+c.
Original LaTeX notation
Suppose that $a,b,$ and $c$ are positive integers satisfying $(a+b+c)^3 - a^3 - b^3 - c^3 = 150$. Find $a+b+c$.

choices

  1. 16
  2. 6
  3. 12
  4. 150

subject

high_school_mathematics

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