What Mathvelo Is and Who It Is For
Mathvelo is a free math solver with a collection of calculators for each topic. It exists because people need a quick answer they can trust, and most of them also want to understand how that answer came about.
Most visitors are students working through maths and science homework, teachers preparing worked examples, and engineers or technicians who want a fast check without opening a spreadsheet. If you have ever typed a bracket into a phone calculator and wished it understood you, this site is for you.
What You Can Do on Mathvelo
- Math solver. Type, speak, draw or photograph a problem and get a title, the answer, the method, every step and a check.
- Calculators by topic. Fractions, percentages, algebra, trigonometry, calculus, matrices and statistics, each on its own page with a guide, worked examples and an FAQ.
- Scientific calculator. Trigonometry, logarithms, exponents, fractions and scientific notation, with graphing, matrices, statistics and unit converters.
- Calculator keys and modes with SHIFT and ALPHA keys, exact answers and equation, matrix, vector and table modes, and a graphing notebook with live lines and sliders.
How the Solver and Calculators Work
Everything runs in your browser. When you press Solve, the solver reads your problem, picks a method from a fixed set of rules, works it out with exact fractions where it can and shows the result. Nothing is sent to a server for that to happen.
| Task | Method |
|---|---|
| +Arithmeticbrackets, powers, percent, factorial | A parser that follows BODMAS/PEMDAS and understands implicit multiplication such as 2(3+4). |
| ½Exact answersfractions, roots, π | Fractions found with continued fractions; simple roots and multiples of π recognised from the value. |
| ∫Integralsnumerical | Simpson’s rule with 2,000 slices; exact antiderivatives for polynomials in the solver. |
| dDerivativessolver and keys | Symbolic rules (product, quotient, chain) in the solver; a symmetric difference on the calculator key. |
| xEquationspolynomials and systems | Durand–Kerner iteration for roots, the rational root theorem for factoring, and Gaussian elimination for systems. |
| σStatisticsregression, probability | Standard formulas, least-squares regression, the error function for the normal distribution and log-gamma for binomial and Poisson. |
Double precision gives about 15 significant digits. That is far more than school, lab and everyday work need, but very long decimals can show tiny rounding differences, as they do on any calculator.
How We Test and Check Accuracy
Before a change goes live, each calculator is run through automated browser tests that press real keys and compare the output with answers we already know. sin(30°) → 1/2 ∫₀³ x² dx → 9 x² − 5x + 6 = 0 → 2 and 3 are typical examples. Every tool has more than a hundred checks covering keys, modes, solver output, small-screen layout and page errors.
The solver also checks itself. When it solves an equation it puts the answers back into the original equation and shows both sides, so you can see for yourself that they match.
How We Use AI
The step-by-step solver is rule-based. Given the same input it always returns the same answer and the same steps, which makes results easy to repeat and to check.
Some extras call an AI service when the site has one connected: word problems, reading a photo of a question, a simpler explanation, a second method, a double-check and follow-up questions. AI replies are labelled as AI-generated, and they can be wrong. Compare important answers with the rule-based solver or work them by hand.
The written guides on this site were drafted with the help of AI writing tools and then reviewed and edited by [OWNER NAME OR COMPANY], who checks each example against the calculators before the guide goes live.
Editorial Standards and Corrections
Guides are written to be useful to a student or a working professional. We use plain language, show worked examples, link to authoritative sources when we rely on them, and avoid claims we cannot support. The date on a guide shows when it was last reviewed.
If you spot a mistake, tell us through the contact page. We read every report, fix confirmed errors as soon as we can, and note significant corrections on the page itself.
Independence, Trademarks and Third Parties
Mathvelo is independent. It is not affiliated with, endorsed by or sponsored by Casio, Texas Instruments, Desmos or any other calculator maker or website. Product and brand names, including Casio and its fx-series model names, belong to their owners. They appear here only to describe what a tool is similar to.
The site loads fonts from Google Fonts, and where an AI service is connected it processes the problems you send to it. Both are explained in the privacy policy.
How the Site Is Funded
Mathvelo is free to use. At the moment it shows no advertising and has no paid placements. If that changes, ads will be clearly labelled, kept away from the keypad and the results, and described in the privacy policy before they start. Money never changes what a calculator returns.
We do not sell links, guest posts or paid reviews.
Who Runs the Site
Mathvelo is run by [OWNER NAME OR COMPANY] in [CITY, COUNTRY]. You can reach us at freeaimathsolver@gmail.com or through the contact page.
[Add two or three honest sentences about who you are and why you built this: your background, your experience with maths or software.]
Questions, Corrections and Feedback
We like hearing from people who use the calculators. A short note about a wrong answer, a missing feature or a confusing step helps us improve them. Please use the contact page, and include the expression you typed and the result you saw if you are reporting a mistake.