Math Inspector
File Inspector, but for math. Paste an equation, formula, unit expression, dataset, logic rule, algorithm size or combinatorics problem and Math Inspector tells you what kind of math it is, whether it is valid, whether it can be solved exactly or needs approximation, whether the units are wrong, whether brute force would be insane — and which Utilities Bunker tool should handle it next.
How to Use
- Paste anything mathematical into the box — an equation, a physics/electrical formula, a unit expression, a list of numbers, a set of logic rules, an algorithm size, or a counting problem.
- Math Inspector classifies it instantly: the <strong>detected type</strong> and category, a <strong>solvability verdict</strong> (exact / numerical / contradiction / too big…), a <strong>unit check</strong>, and any <strong>Bunker Warnings</strong> about complexity or bad math.
- Read the <strong>“why / what next”</strong> note — it explains the obstacle (no radical formula, exponential blow-up, mixed units, a logic conflict) in plain language.
- Click a <strong>Recommended Tool</strong> to open the right Utilities Bunker tool for the actual solving, or <strong>Copy report</strong> / <strong>Export JSON</strong> to keep the autopsy.
- Try the example chips to see it diagnose a quadratic, a quintic, a units mistake, a combinatorial explosion, an algorithm cost, an elliptic curve and a constraint conflict.
Math Inspector recognizes and computes a huge range of math, but it’s a heuristic and can occasionally misread an unusual input — double-check anything important and open the linked tool to confirm.
Paste an equation, formula, dataset, unit expression, logic rule or algorithm size. Math Inspector identifies what kind of math it is, checks for mistakes, detects hidden complexity, warns when brute force gets impossible, and routes the problem to the right Utilities Bunker tool.
What it inspects
Inspector modes
Beyond naming the math, Math Inspector runs these diagnostic modes on what you paste:
The math map — 362 branches
Math Inspector classifies what you paste into one of these 362 branches of mathematics. ⚡ Compute branches calculate a numeric answer right here when you give them the numbers; → Route branches recognize the topic and send you to the right dedicated tool or lab.
About the Math Inspector
Need a hand with everyday maths and number work? The Math Inspector does the work for you — free, and right here in your browser. File Inspector, but for math. Paste an equation, formula, unit expression, dataset, logic rule, algorithm size or combinatorics problem and Math Inspector tells you what kind of math it is, whether it is valid, whether it can be solved exactly or needs approximation, whether the units are wrong, whether brute force would be insane — and which Utilities Bunker tool should handle it next.
How it works
Type in what you have, and the answer shows up right away. Change anything and it updates by itself. Everything runs in your browser, so it is fast and nothing you type is sent away.
Want the deeper story? The Knowledge Base explains the ideas behind the tools in more detail.
Frequently Asked Questions
How is this different from a normal calculator?
A calculator asks <em>“what do you want me to solve?”</em> Math Inspector asks <em>“what kind of problem is this, is it valid, is it even solvable exactly, would brute force be insane, and which tool should handle it?”</em> It's a diagnostic scanner for math — it classifies and triages first, then points you at the right solver instead of blindly returning a number.
What kinds of input does it understand?
Polynomial equations and systems, physical/electrical formulas, unit-aware expressions (with dimensional analysis), datasets (with outlier & duplicate detection), combinatorics / counting problems, algorithm complexity (Big-O), modular and elliptic-curve / finite-field math, matrices, logic & constraint rules, and plain arithmetic. Anything it can't place is reported as ambiguous with its best guesses.
How does the unit / dimension check work?
Every unit carries a physical dimension (length, mass, time, current). Multiplying or dividing units is always allowed and produces a new dimension — 120 V × 15 A correctly gives 1800 W. But <strong>adding</strong> different dimensions is impossible, so <code>voltage + current</code> is flagged as a contradiction, with the valid electrical formulas suggested instead.
Why does it say a quintic has “no exact formula”?
Because of the Abel–Ruffini theorem: there is no general solution in radicals for polynomial equations of degree five or higher. Math Inspector still checks for rational roots that let it partially factor, and otherwise tells you to use numerical root-finding — it explains the obstacle instead of just failing.
Does it actually solve things, or just diagnose?
It does the <em>diagnosis</em> — and computes the quick wins along the way (quadratic roots, the watts from V×A, the size of a combinatorial space, points on an elliptic curve, dataset stats, a logic conflict). For the heavy lifting it routes you to the dedicated Utilities Bunker tool, which is the whole point: it's the front door to the Math Lab.
Does anything run on a server?
No. The whole classifier, the unit engine, the big-integer combinatorics and every check run in your browser. Nothing you paste is uploaded.
How do I use the Math Inspector?
Just type your numbers. The answer shows up right away — there is no button to press. Change anything and it updates by itself.
Is it free? Does it work without internet?
Yes to both. It is free with no sign-up, and once the page has loaded it keeps working even with no internet.
Where does my data go?
Nowhere — every calculation runs on your own device. Nothing you enter is uploaded, logged, or stored.
Common Use Cases
Triage a problem
Find out what kind of math you're holding before you try to solve it.
Catch bad units
Flag adding volts to amps, or any mixed-dimension formula.
Spot brute-force traps
See when a search space (like vehicle options) explodes exponentially.
Check feasibility
Is it exact, numerical, contradictory or an open-problem class?
Route to the right tool
Get sent straight to the solver, lab or checker that fits.
Validate data & logic
Detect outliers, duplicates and constraint conflicts.
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