# Numora Polynomial Equation Solver

> Numora Polynomial Equation Solver is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Finds the roots of a polynomial equation given its coefficients, listed from highest degree to lowest.

## Facts

- Endpoint: POST https://numormor.netlify.app/api/solve/polynomial
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-polynomial-equation-solver-1b2942b9
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_NNFQAyCruRBN8y4Zltqap

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-polynomial-equation-solver-1b2942b9 -d '<json body>'
```

Example prompt: Can you solve the polynomial equation x^3 - 6x^2 + 11x - 6 = 0 for me? The coefficients from highest to lowest degree are [1, -6, 11, -6].

## When to prefer this

Use this endpoint when you need to find the roots of a polynomial equation and have coefficients available, prefer a zero-dependency pure-math service, and want micropayment-based access without an API key subscription. Ideal for AI agents doing algebraic computation inline.

## Known failure modes

- Missing required 'coefficients' field returns a 400 error
- Empty coefficients array may return an error or undefined behavior
- Non-numeric values in coefficients array cause computation failure
- Payment not provided or insufficient USDC results in 402 Payment Required
- Very high-degree polynomials may hit numerical precision limits

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a success flag, a human-readable computation description, and a result object containing the polynomial roots (real and/or complex) derived from the input coefficients.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "coefficients"
 ],
 "properties": {
  "coefficients": {
   "type": "array",
   "description": "Highest degree first"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-polynomial-equation-solver-1b2942b9/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormor.netlify.app](https://www.zero.xyz/host/numormor.netlify.app/llms.txt)