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MATH / The sum of the first m positive odd integers is 212 more than the sum of the first n positive even integers. What is the sum of all possible values of n?

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problem

The sum of the first mm positive odd integers is 212 more than the sum of the first nn positive even integers. What is the sum of all possible values of nn?
Plain-text mathematical notation (without MathML)
The sum of the first m positive odd integers is 212 more than the sum of the first n positive even integers. What is the sum of all possible values of n?
Original LaTeX notation
The sum of the first $m$ positive odd integers is 212 more than the sum of the first $n$ positive even integers. What is the sum of all possible values of $n$?

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
60184b49-4816-5978-a78b-57ef65f6d85c
task_key
intermediate~5falgebra--test--60184b49-4816-5978-a78b-57ef65f6d85c
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import