Random Equation Generator
Create reproducible random equations: polynomials with configurable degree, linear equations, quadratic equations, and systems of linear equations. Useful for homework generators, algorithm testing, and math education.
Also known as: math problems · algebraic equations · polynomial equations
seeded
Output
About this tool, tips & examples
What it does
The Random Equation Generator produces algebra problems on demand: polynomials up to degree 6, linear equations, quadratic equations, and systems of two linear equations — with a maximum-coefficient control that sets the difficulty. Generate up to 1,000 per run, seeded so a worksheet can be regenerated exactly.
Common use cases
- Homework and worksheets — a fresh set of quadratics per lesson, reprintable from the seed.
- Test preparation — unlimited practice at a controlled difficulty instead of re-solving the textbook’s ten examples.
- Algorithm testing — equation strings for parsers, CAS features, and step-by-step solvers.
- Math games — timed equation drills with fair, comparable problem sets.
Settings
- Type — polynomial, linear, quadratic, or system of linear equations.
- Degree — 1 to 6 for polynomials.
- Max coefficient — bounds the numbers involved; small coefficients keep problems hand-solvable.
- How many — 1 to 1,000 equations, exportable as text, CSV, or JSON.
- Seed — the same seed and settings regenerate the identical problem set.
Privacy note
Equations are generated locally in your browser; nothing is uploaded.
FAQ
Do the equations have nice solutions? Coefficients are random within your bound, so solutions vary — integer, rational, and irrational roots all occur, which is realistic practice. Quadratics with no real roots are part of the curriculum too.
How do I make an answer key? Regenerate with the same seed and solve alongside, or feed the CSV export to a CAS. The seed guarantees your key matches the handout.
Simpler arithmetic instead? The Math Quiz generator does addition through division with the same seed-and-reprint workflow — this tool picks up where arithmetic ends.