# Difference between revisions of "2020 AIME II Problems/Problem 10"

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Find the sum of all positive integers <math>n</math> such that when <math>1^3+2^3+3^3+\cdots +n^3</math> is divided by <math>n+5</math>, the remainder is <math>17</math>. | Find the sum of all positive integers <math>n</math> such that when <math>1^3+2^3+3^3+\cdots +n^3</math> is divided by <math>n+5</math>, the remainder is <math>17</math>. |

## Revision as of 15:09, 7 June 2020

# Problem

Find the sum of all positive integers such that when is divided by , the remainder is .