# Numora Polynomial Equation Solver

> Numora Polynomial Equation Solver is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-16).

Solves polynomial equations by finding roots given an array of coefficients (highest degree first)

## Facts

- Endpoint: POST https://numomo.vercel.app/api/solve/polynomial
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-16
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-polynomial-equation-solver-0ea8a2ae
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_h7ZylSb9rVKInB6VTbECE

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-0ea8a2ae -d '<json body>'
```

Example prompt: Can you find the roots of the polynomial 2x³ - 6x² + 2x + 4? The coefficients highest-degree first are [2, -6, 2, 4].

## When to prefer this

Choose this endpoint when you need fast, dependency-free polynomial root finding without spinning up a full CAS (computer algebra system). Ideal for AI agents performing algebraic reasoning, engineering calculations, or educational math tasks where x402 micropayment on Base is acceptable and you need structured JSON output with a human-readable computation description.

## Known failure modes

- Missing or empty coefficients array returns a validation error
- Empty coefficients array or single-element array may produce undefined behavior
- Very high-degree polynomials may hit numerical precision limits
- Non-numeric values in coefficients array cause parsing failures
- Network or server errors on Vercel infrastructure return 5xx responses

## 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 boolean success flag, a result object containing the computed roots (real and/or complex) of the polynomial, and a human-readable computation string describing what was solved.

## 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-0ea8a2ae/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)