AMC diophantine equation problems
58 past AMC problems use diophantine equation. 36 come from the AMC 10 and 22 from the AMC 12.
Picks a problem you have not seen, at about the difficulty you are handling.
Problems
Newest contests first. Every problem opens with its answer choices, hints and a worked solution.
- 2025 AMC 10B · Problem 4
- 2025 AMC 10B · Problem 23
- 2025 AMC 12B · Problem 5
- 2025 AMC 12B · Problem 19
- 2024 AMC 10A · Problem 11
- 2024 AMC 10A · Problem 23
- 2024 AMC 10B · Problem 25
- 2024 AMC 12B · Problem 22
- 2023 AMC 10A · Problem 23
- 2023 AMC 10B · Problem 11
- 2023 AMC 10B · Problem 14
- 2023 AMC 10B · Problem 23
- 2022 AMC 10A · Problem 17
- 2022 AMC 10A · Problem 20
- 2021 AMC 10A · Problem 22
- 2021 Fall AMC 10A · Problem 8
- 2021 Fall AMC 10B · Problem 12
- 2020 AMC 10B · Problem 9
- 2020 AMC 12B · Problem 8
- 2019 AMC 12A · Problem 15
- 2016 AMC 10A · Problem 14
- 2015 AMC 10A · Problem 15
- 2015 AMC 10A · Problem 24
- 2015 AMC 10B · Problem 15
- 2015 AMC 10B · Problem 21
- 2015 AMC 10B · Problem 25
- 2015 AMC 12A · Problem 10
- 2015 AMC 12B · Problem 3
- 2015 AMC 12B · Problem 23
- 2014 AMC 12A · Problem 14
- 2014 AMC 12A · Problem 25
- 2013 AMC 10B · Problem 17
- 2013 AMC 10B · Problem 21
- 2013 AMC 12B · Problem 14
- 2012 AMC 10A · Problem 10
- 2012 AMC 10A · Problem 22
- 2012 AMC 10A · Problem 24
- 2012 AMC 12A · Problem 21
- 2010 AMC 10B · Problem 24
- 2008 AMC 10B · Problem 8
- 2008 AMC 10B · Problem 23
- 2008 AMC 12B · Problem 5
- 2007 AMC 10A · Problem 23
- 2007 AMC 10B · Problem 25
- 2007 AMC 12B · Problem 23
- 2006 AMC 10A · Problem 22
- 2006 AMC 10B · Problem 22
- 2006 AMC 12A · Problem 9
- 2006 AMC 12A · Problem 14
- 2006 AMC 12B · Problem 14
- 2005 AMC 12A · Problem 21
- 2004 AMC 10B · Problem 17
- 2004 AMC 12A · Problem 3
- 2003 AMC 12B · Problem 7
- 2002 AMC 10B · Problem 16
- 2001 AMC 10 · Problem 14
- 2001 AMC 12 · Problem 7
- 2000 AMC 12 · Problem 16
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