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AMC 8
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Introduction
1. Algebra (cloned)
2. Geometry (cloned)
3. Triangles
4. Combinatorics
5. Number theory (cloned)
5.1 Divisibility (cloned)
5.2 Modular arithmetic (cloned)
5.3 Diophantine equations (cloned)
6. Probability (cloned)
7. Combinatorics (cloned)
8. What's next? (cloned)
9. Counting
Arithmetic
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5.3 Diophantine equations (cloned)
Achievable AMC 8
5. Number theory (cloned)
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Diophantine equations (cloned)

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Diophantine equations

This is a fancy phrase that means “equations where the only acceptable solutions are integers” (and the coefficients are also all integers).

The key thing to know here is simply that all the rules of modular arithmetic not only work here, but are super-duper helpful.

What to do

There’s very little here, and it will be easy to learn, so:

  • Click “complete” below. We’ll add a few extra quizzes to your queue covering this information as well as a few straightforward implications. Then, during your short daily practice, we’ll occasionally quiz you on this knowledge in a way that etch it into your memory for good.
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