# Numora Polynomial Solver

> Numora Polynomial Solver is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Solves polynomial equations and finds their roots given an array of coefficients in descending degree order

## Facts

- Endpoint: POST https://numormo.vercel.app/api/solve/polynomial
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-polynomial-solver-ee4b2181
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_5eqM32hU_p3pXGPa7TcX5

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-solver-ee4b2181 -d '<json body>'
```

Example prompt: Solve the polynomial equation 2x³ - 6x² + 2x + 10 = 0 and find all its roots — give me the coefficients in order from highest to lowest degree.

## When to prefer this

Choose this endpoint when you need a lightweight, serverless, zero-dependency polynomial root-finder that bills per-call via x402 micropayments on Base — ideal for AI agents that need occasional algebraic solving without setting up a full CAS (computer algebra system) library or managing infrastructure.

## Known failure modes

- Missing or empty coefficients array returns an error
- Non-numeric values in coefficients array cause computation failure
- Payment failure via x402 micropayment returns 402 status
- Numerically unstable polynomials with near-zero leading coefficients may produce inaccurate roots
- Extremely high-degree polynomials may hit timeout 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 success=true, 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-solver-ee4b2181/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)