The Best AI Math Solvers in 2026, Honestly Compared

Five criteria, because a single overall ranking hides the only thing that matters, which is that different tools fail in different places. Correctness is whether the final answer is right. Working is whether the steps in between teach you anything. Coverage is how far the tool reaches beyond routine algebra. Free tier is what you get without paying. Input is how the problem gets in.

Behind those five sits a fixed battery of ten problems, chosen because each one exposes a different failure mode rather than because they are hard:

1. A routine quadratic, which everything should get right.
2. A quotient-rule derivative whose answer needs simplifying to be usable.
3. A $0/0$limit that wants factoring rather than L'Hôpital.
4. An integral needing a substitution that is not the obvious one.
5. A partial-fractions integral, to see whether the algebra is shown.
6. A three-sentence word problem containing one irrelevant number.
7. A trigonometric equation on a restricted interval, where the count of solutions is the whole question.
8. A photographed, handwritten system of two equations.
9. A question with a genuine ambiguity in it, to see whether the tool asks or guesses.
10. A conceptual follow-up on a solution already given.

Problems six, nine and ten are the interesting ones. Almost everything passes a clean derivative. What separates the tools is what happens when the input is messy, when the question is underspecified, and when you want to keep talking after the answer arrives.

Prices below are the ones published on each vendor's own pages at the time of writing. App-store pricing frequently differs from web pricing for the same product, sometimes substantially, and regional prices vary, so treat these as the list price rather than the price you will be charged.

Read down the yearly column and the uncomfortable fact is plain: at $99.99 a year, Gauth Plus is the most expensive of the dedicated maths tools here. Mathway and Symbolab are around $40, Wolfram Alpha Pro is $60, Photomath is $69.99. Our monthly price of $11.99 with a three-day trial sits above every other dedicated maths tool in the table too, all of which list at around $10 or less. That is a real difference, and the honest framing is that you are paying for unlimited use with written reasoning and unmetered follow-ups, not for a lower number.

Symbolab is the awkward one to quote. Its web sign-up page and its app-store listings show different figures, with monthly prices reported anywhere from about $7 to about $10 depending on channel and promotion. Check the price on the surface you are actually buying through.

The tools in this list are built on two fundamentally different technologies, and almost every difference in reliability follows from which one a tool chose.

Wolfram Alpha, Symbolab, Mathway and Photomath are symbolic engines. They parse your input into an expression tree and apply algorithms to it. Within the space of problems they can parse, they do not make arithmetic errors, because there is no step at which a wrong-but-plausible token could be produced. When they fail, they fail visibly: they refuse the input, or they solve a different problem from the one you meant.

Gauth and ChatGPT are language models. They read the problem the way a person does, which is why they handle worded, ambiguous, or oddly formatted questions far better, and why they can explain a step in sentences rather than in notation. It is also why they can produce a confident wrong line. Both failure modes are real and neither is fixable by trying harder.

So on correctness, Wolfram Alpha takes the category outright, and we would be wasting your time claiming otherwise. If your problem is a definite integral, an eigenvalue, or a unit conversion with a physical constant in it, a deterministic engine is the right instrument. On problem six of our battery — the word problem with a decoy number — the ranking inverts, because parsing the English is the hard part and that is not what a symbolic engine is for.

The practical consequence is that you should verify final numbers from any language-model tool, ours included. That is not a disclaimer, it is a method: substitute the answer back, sanity-check the magnitude, check the units. Our guide to six ways to verify your own work applies unchanged to output from a machine.

This is the category where the differences are largest and where the marketing language is least useful, because everybody claims step-by-step solutions and they mean four different things by it.

Symbolic step lists. Symbolab and Mathway output the algebraic transitions: line, line, line, with a short label for the rule used. Accurate and compact. If you already know the method and lost your place, this is exactly enough. If you do not know why line three follows from line two, it will not tell you.

Pedagogical step lists. Photomath is the best of these for school-level work. It breaks a problem into small steps, often offers more than one method for the same problem, and its paid tier adds animated walkthroughs. The design intent is clearly teaching rather than answering, and it shows.

Terse machine derivations.Wolfram Alpha's step-by-step output is correct and mechanical. It will tell you it applied the chain rule without much sense of why that was the move.

Written reasoning.ChatGPT and Gauth explain in prose, which is the format that answers “why is this allowed” rather than “what happened next”. This is the category we win, and the mechanism is not mysterious: a solution written in sentences can carry the justification, and one written as a list of expressions cannot.

One structural difference matters more than it sounds. Follow-up questions on a Gauth answer are included and do not consume your daily quota, so the natural move — read the solution, find the one line you do not follow, ask about that line — costs nothing. On tools with per-solution metering, asking a clarifying question means spending another solution, which quietly trains you not to ask.

Coverage. ChatGPT wins on breadth by a distance, because it is not a maths tool: it will also mark your essay and debug your code. Wolfram Alpha wins on computational depth, with curated data, units, physical constants and chemistry that nothing else here touches. Gauth covers STEM broadly — maths, physics, chemistry — but not humanities. Photomath, Symbolab and Mathway are maths only, deliberately.

Free tiers. Photomath takes this category and it is not especially close. Its core step-by-step solver is free, which means the thing students actually need costs nothing; the subscription buys animated tutorials and textbook-matched solutions on top. Google Lens homework mode is free entirely. Gauth is decent here — the first solution needs no account at all, and a free account gets three a day — but decent is not best, and Mathway is the clear loser, giving you an answer and locking every step behind Step-by-Step Access.

Input. Photomath is the strongest camera product in the category; recognition of handwritten work is its core competence rather than a feature. It is also mobile-only, with no browser version, so it is unusable on a school Chromebook or a laptop. Gauth is the mirror image: you can type or photograph a problem in a browser, and there is no app to install because there is no app. If your homework happens on a phone, that is a genuine reason to pick something else, and we would rather say so here than have you find out after subscribing.

Wolfram Alpha. The reference standard for getting a right answer, and the widest computational coverage of anything in this list. Basic use is free; step-by-step solutions sit behind Pro at $9.99 a month, or $5 a month billed annually. Best for university-level work where you can state the problem precisely. Weakest as a teacher. The full Gauth and Wolfram Alpha comparison goes through where each one earns its place.

Photomath. The best free offer and the best camera. Maths only, phone only, strongest from arithmetic through early calculus. If you are in secondary school and work on a phone, start here. Gauth against Photomath covers the solution-depth trade-off in detail.

Symbolab. An enormous library of specialised calculators with competent symbolic steps. The free tier gives answers with basic working and Pro unlocks the rest. Genuinely good value annually if the terse style suits you. Symbolic computation against written reasoning is the comparison to read.

Mathway. Reliable answers across a wide range of maths, and the least generous free tier in the group: the steps are the product and they are behind the subscription. Cheap annually at $39.99. Gauth versus Mathway sets out what each shows without payment.

ChatGPT. The most flexible, the least specialised. Excellent at reading a badly worded question and at explaining a concept; capable of a confident arithmetic slip in the middle of an otherwise good solution. Free tier is usable, Plus is $20 a month. Where a general chatbot struggles with maths is worth reading before you rely on it for graded work.

Socratic. Discontinued. Google removed the standalone app from the stores and folded the photograph-a-question flow into Google Lens, where it remains free. If you loved Socratic, the successor is Lens homework mode, and our comparison page explains what survived the move and what did not.

Gauth. Written reasoning with rendered notation, STEM coverage, first solution free with no account, and follow-ups that do not count against your quota. Losses, plainly: no mobile app, the highest annual price of the dedicated maths tools, and a language model underneath, which means you should check final numbers. Try it on the problem you are actually stuck on rather than on a demo.

Most students are better served by two tools than by one, because the failure modes are complementary: a symbolic engine to confirm the number, and a written explanation to understand the method. That combination costs nothing if you pair Wolfram Alpha's free answers with Photomath's free steps.

One last thing worth saying on a page like this. The tool matters much less than the order in which you use it. Reading a solution before attempting the problem produces the feeling of understanding and almost none of the learning; attempting first and then comparing line by line produces the opposite. That is true of every product listed here, including ours, and it is a bigger effect than any difference between them. Where the line sits between the two is the subject of our piece on AI and academic integrity, and if you want to test a solver properly, hand it something from your own calculus homework rather than a problem from a marketing page.