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Omni-MATH / Suppose m and n are positive integers for which the sum of the first m multiples of n is 120, and the sum of the first m³ multiples of n³ is 4032000. Determine the sum of the first…

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problem

Suppose mm and nn are positive integers for which the sum of the first mm multiples of nn is 120, and the sum of the first m3m^{3} multiples of n3n^{3} is 4032000. Determine the sum of the first m2m^{2} multiples of n2n^{2}.
Plain-text mathematical notation (without MathML)
Suppose m and n are positive integers for which the sum of the first m multiples of n is 120, and the sum of the first m³ multiples of n³ is 4032000. Determine the sum of the first m² multiples of n².
Original LaTeX notation
Suppose $m$ and $n$ are positive integers for which the sum of the first $m$ multiples of $n$ is 120, and the sum of the first $m^{3}$ multiples of $n^{3}$ is 4032000. Determine the sum of the first $m^{2}$ multiples of $n^{2}$.

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Source and history

task_id
c70d9204-6617-528c-a202-787022c40cbe
task_key
test--c70d9204-6617-528c-a202-787022c40cbe
task_revision_id
1
config / split
/ test

Official source

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