Random Equation Generator
Generate a random math problem at your chosen difficulty — from simple arithmetic to basic algebra — with the answer hidden until you're ready.
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How the Random Equation Generator works
Medium-difficulty division problems are always constructed to divide evenly (no remainders), generated by picking the divisor and quotient first and multiplying to get the dividend — this keeps the problem clean and appropriate for practice rather than accidentally testing remainder/decimal handling. Hard-difficulty algebra problems are built the same way in reverse: a random integer solution for x is chosen first, then the equation is constructed around it, guaranteeing every generated equation has a clean integer answer.
How many different problems are possible at each level? Each difficulty draws from a distinct combinatorial space, which is part of why Medium has noticeably fewer unique problems than Easy or Hard despite not being the simplest level:
| Difficulty | How it's built | Possible problems |
|---|---|---|
| Easy | Addition (1–99 + 1–99) or subtraction (10–99 minus 1–that number) | 14,706 |
| Medium | Multiplication or division using factors 2–15 | 392 |
| Hard | ax + b = c with a: 2–12, x: −15–15, b: −20–20 | 13,981 |
How to use it
Frequently asked questions
Will the algebra problems always have a whole-number answer?
Yes — x is chosen first as a random integer, and the equation is built around it, so solving correctly always yields that same whole number, never a fraction or decimal.
Can I use this for classroom practice?
Yes, it works well as a quick warm-up or worksheet substitute — generate several in a row for a short practice set.
Does division ever produce a remainder?
No, medium-difficulty division problems are always constructed to divide evenly by generating the dividend from the divisor and quotient rather than picking it independently.