# Numora Nonlinear Equation Solver

> Numora Nonlinear 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).

Numerically solves a nonlinear equation expressed as a function of x, given an initial guess, returning the root.

## Facts

- Endpoint: POST https://numormor.netlify.app/api/solve/nonlinear
- 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-nonlinear-equation-solver-a7c22d00
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_DtKwpz5vXUyl3D4MgTSWI

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-nonlinear-equation-solver-a7c22d00 -d '<json body>'
```

Example prompt: Find the root of the nonlinear function x^3 - x - 2 starting from an initial guess of 1.5.

## When to prefer this

Choose this endpoint when you need to numerically find the root of a nonlinear equation expressed as a string function of x, and you have a reasonable initial guess. It is ideal for equations without closed-form solutions (e.g., transcendental equations like cos(x)=x). If you need symbolic solving or systems of nonlinear equations, look for other endpoints.

## Known failure modes

- Function expression is malformed or unparseable — returns error or success:false
- Initial guess is too far from any root, causing non-convergence
- Function has no real root near the provided guess — solver diverges
- Division by zero or undefined value encountered during iteration
- Missing required fields 'fn' or 'guess' — returns 400 or validation error

## 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 root value, and a 'computation' string describing what was solved in human-readable form.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn",
  "guess"
 ],
 "properties": {
  "fn": {
   "type": "string",
   "description": "Function expression (e.g., 'x^2 - 4')"
  },
  "guess": {
   "type": "number"
  }
 }
}
```

## 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-nonlinear-equation-solver-a7c22d00/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)