Zeretis
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What the Zeretis math solver can do. Every step shown.

The Zeretis solver uses 100% deterministic symbolic computation — no AI approximations, no rounding errors. Every result is deterministic and shown step by step.

100%Deterministic results
0Approximation errors
Exact symbolic precision
<1sTypical solve time
Input solve(x^2 - 5x + 6 = 0, x) x = 2, x = 3
Step 1 — Factor (x - 2)(x - 3) = 0
Step 2 — Zero product property x - 2 = 0 or x - 3 = 0
Step 3 — Solve each x = 2 or x = 3 ✓

See every step, not just the answer.

Every solution includes a complete breakdown of the mathematical transformations applied. You can follow each step, understand the reasoning, and use the working as a study or teaching reference.

  • Every algebraic step is labelled with its rule or transformation
  • Intermediate results rendered in clean mathematical notation
  • Useful for checking your own working against the correct method
  • Adjustable verbosity — more or fewer steps based on skill level
Arithmetic \frac{3}{7} + \frac{2}{5} = 29/35 (exact)
Calculus \int x^2 \sin(x) \, dx = (2-x²)cos(x) + 2x·sin(x) + C
Systems solve([2x+y=10, x-y=1], [x,y]) x = 11/3, y = 8/3

From arithmetic to differential equations.

The solver handles the full range of problems you'll encounter from middle school through university-level engineering — all with the same guaranteed accuracy.

  • Arithmetic, fractions, and exact constants (π, e, √2)
  • Algebra — linear, quadratic, polynomial, systems
  • Calculus — derivatives, integrals, limits, series
  • Trigonometry and identity simplification
  • Differential equations (ODEs)
  • Matrix operations and linear algebra
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Students
Plain language steps
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Teachers
Classroom-ready output
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Engineers
Formal notation, API access

Explains itself at your level.

Set your skill level in account settings and the solver adapts how it explains its steps — simpler language and more detail for beginners, concise formal notation for advanced users.

  • Grade 1–12 mode for school-level problems
  • University mode for calculus and beyond
  • Engineer mode for terse, notation-heavy output
  • Language support: English and Español

Everything the solver can do

A complete overview of supported problem types and features.

Arithmetic

Exact fraction arithmetic, integer operations, mixed numbers, order of operations.

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Algebra

Linear, quadratic, polynomial, rational, radical, and absolute value equations.

Calculus

Derivatives, indefinite & definite integrals, limits, Taylor series.

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Trigonometry

Trig equations, identity simplification, inverse functions, exact values.

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Linear Algebra

Matrix multiplication, determinants, inverses, rank, row reduction.

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Differential Equations

First and second order ODEs with initial conditions.

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Series & Sequences

Summation formulas, arithmetic & geometric series, convergence tests.

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Number Theory

GCD, LCM, prime factorization, modular arithmetic.

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LaTeX Input

Native LaTeX notation for precise entry of complex expressions.

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Chat History

Full conversation threads so you can build on previous results.

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Multi-language

Step explanations in English and Spanish. More languages coming.

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REST API

Programmatic access for developers. JSON in, exact symbolic result out.

Embed the solver in your own tools.

The Zeretis API gives you programmatic access to the full solver engine via a simple REST endpoint. Send a LaTeX or plain-text expression, get back an exact result and step-by-step JSON.

Minimum $10/month covers 10,000 calls. Perfect for educational platforms, homework tools, or engineering calculators.

// POST https://api.zeretis.com/v1/solve const response = await fetch('https://api.zeretis.com/v1/solve', { method: 'POST', headers: { 'Authorization': 'Bearer YOUR_API_KEY', 'Content-Type': 'application/json' }, body: JSON.stringify({ expression: 'solve(x^2 - 5x + 6 = 0, x)', mode: 'algebra' }) }); // Response { "status": "solved", "result": "x = 2, x = 3", "steps": [ ... ], "latex": "x = 2,\\ x = 3" }

Runs on a fraction of the power.

Most AI tools run inference on large GPU clusters — each query consuming significant compute and electricity. Zeretis is fundamentally different. Symbolic computation is an algorithmic process that runs efficiently on standard CPUs. There are no neural network weights to load, no matrix multiplications at scale, no GPU memory to manage.

The result is a solver that uses 99.9999% less energy than GPU-based LLM inference. The core is a compiled Rust program that solves problems in approximately 30 microseconds on a standard laptop — thousands of times more efficient than any neural network approach. That matters for your electricity bill if you're self-hosting the API, and it matters significantly for the planet at scale.

Because symbolic computation is deterministic, results can also be cached perfectly — the same expression always returns the same result, so repeated queries cost almost nothing computationally.

~0 GPU compute required
↓90% Less energy vs LLM inference
CPU Standard server hardware
♾️ Results are perfectly cacheable

Safe. Private. By architecture.

These aren't policies bolted on after the fact. They're consequences of how the system is built.

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No query logging

Expressions are processed and discarded. We don't store what you typed, build a profile from it, or retain it in any form. There is nothing to breach because there is nothing to store.

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No third-party data sharing

Your queries are never sent to third-party AI providers, analytics platforms, or advertising networks. The solver runs on our own infrastructure. Paddle handles billing — that's the only external data processor.

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Scope-limited by design

The solver only accepts mathematical input and returns symbolic output. There is no language model to jailbreak, no system prompt to leak, no general-purpose reasoning that can be redirected. The attack surface is minimal by nature.

HTTPS everywhere, always

All connections — web interface and API — are encrypted in transit. API keys are transmitted only via bearer token headers. We follow standard security practices for authentication, key rotation, and access control.

Read our Privacy Policy → Safety guide for parents → API security details →

Try it for free — no card required.

Start solving immediately. Upgrade when you need more.

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