# Numora Polynomial Solver

> Numora Polynomial Solver is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.05/call, status unknown (last checked 2026-09-14).

Solves polynomial equations given an array of coefficients (highest degree first) and returns the roots and computation details

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/solve/polynomial
- Price: $0.05/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-solver-fe4b021b
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_mzz7kepozLOvxHQSTwFC4

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-fe4b021b -d '<json body>'
```

Example prompt: Solve the polynomial equation x^3 - 6x^2 + 11x - 6 = 0 for me — the coefficients highest degree first are [1, -6, 11, -6].

## When to prefer this

Use this endpoint when an agent needs to find the roots of a polynomial equation of any degree without setting up a local math library or symbolic computation environment. Ideal for AI workflows requiring algebraic root-finding as a pure computation step with no external dependencies and micropayment access via x402 on Base.

## Known failure modes

- Missing or empty coefficients array returns 400 error
- Non-numeric values in coefficients array cause computation failure
- Payment not provided or insufficient results in 402 Payment Required
- Extremely high-degree polynomials may hit computation limits
- Degenerate polynomials (e.g. all-zero coefficients) may return undefined behavior

## 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

A JSON object with a boolean success flag, a result object containing the computed roots (real and/or complex) of the polynomial, and a computation string describing in human-readable form 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-fe4b021b/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)