Solve any maths problem — with worked steps.

What can this maths solver actually do?

Every problem you have ever met in school maths falls into a small number of buckets — arithmetic, algebra, geometry, trigonometry, calculus, probability, statistics, and a handful of "discrete" topics like number theory and combinatorics. The site you are reading covers all of them, but rather than pretending one giant input box can handle the lot, it splits the work into focused tools that are good at one thing each. The headline solver above handles equations in a single variable. From there you can drill down into a quadratic-specific solver that gives you the discriminant and vertex, a derivative tool that uses the chain rule, a matrix calculator that performs Gaussian elimination, and so on.

The point is not just to give you the answer. Anyone with a search engine can find the value of √2. The point is to show you why. Every solver on this site exposes the working: which rule was applied, what the next state of the problem looks like, what intermediate value was substituted in. If you are a student, that gives you something to copy into your notebook. If you are revising for an exam, it lets you check your method, not just your number.

Three things you will not find on most maths sites

Competitor calculators tend to be skin-deep — a form, a button, a number. We built three features specifically because nothing else on the open web does them well:

• An adaptive practice mode. The trainer generates fresh problems on demand, tracks your streak, and quietly raises the difficulty each time you string three correct answers together. After a stumble, it lowers the level so that you do not get stuck. Your progress is stored in your browser so the next time you visit, the warm-up matches your current level.
• A 3D surface plotter that runs without WebGL. Plotting z = sin(√(x² + y²)) is normally a pretext to install a 1MB charting library. We wrote our own 5KB software 3D engine that draws back-to-front shaded quads on a regular Canvas2D context. It works on phones, on laptops, and in browsers where WebGL is disabled.
• A side-by-side step explainer. Type an equation and the page splits in two: the worked steps on the left, the curve LHS − RHS on the right. Each x-intercept of that curve is a real solution, so you can see at a glance how many roots exist and roughly where they are. It is the closest thing to a maths tutor explaining a problem on a whiteboard.

How the solver actually works

Under the hood the equation solver is a recursive-descent parser written in TypeScript. It tokenizes the input, builds an abstract syntax tree, and then attempts to extract a polynomial in x. If it succeeds, the polynomial degree determines the strategy: linear gets a one-step solve, quadratic uses the standard formula with discriminant analysis, cubic uses Cardano, quartic uses Ferrari, and anything higher than that goes through the Durand–Kerner iteration to approximate complex roots simultaneously. Equations that are not polynomial — trigonometric, exponential, transcendental in general — fall through to a numerical bisection across the real line.

None of this is novel mathematics. What is novel is shipping all of it as 30KB of compressed JavaScript that loads instantly on a 3G connection and runs in any browser made since 2017. We rebuilt every algorithm from scratch rather than depending on a heavyweight CAS library, because dependencies bit-rot and we want the site to keep working in 2030 with no maintenance.

Privacy by default

The site has no user accounts, no database, and no analytics that identify individual visitors. Every calculator runs in your browser. The numbers you type stay on your device. You do not need to take our word for that — open your browser’s developer tools, switch to the network tab, and use any tool. You will see no outbound requests after the initial page load.

Built to last

We deliberately avoided heavy frameworks, third-party widgets, and CMS fads. The entire site is pre-rendered at build time to plain HTML, CSS and a tiny amount of JavaScript. There is no runtime to keep updated, nothing to patch, no surprise SaaS bill. As long as the underlying browser APIs (the canvas, the DOM, ES2020) keep working, every page on this site will keep working too.