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Residue class calculator

Reduce exact representatives and compute with integer residue classes.

How to use this calculator

Edit ResidueClass(7,5), or add and multiply classes with the same modulus. The starter is the class of 2 modulo 5.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

ResidueClass⁡(7,5)\operatorname{ResidueClass}\left(7,5\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

A residue class is not an ordinary integer remainder. Inverses require coprime representatives, and different moduli do not combine as one ring.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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