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IMAS 2018–2019 Junior — Round 2 Question 2

IMAS · IMAS 2018–2019 Junior — Round 2

Question 2

How many positive integers from 1 to 2019 can be expressed as $n^3-3n^2+2n$, where $n$ is an positive integer?
  1. 11
  2. 12
  3. 13
  4. 44
  5. 45