# Numora Nonlinear Equation Solver

> Numora Nonlinear Equation 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).

Numerically solves a nonlinear equation f(x)=0 given a function expression and an initial guess, returning the root.

## Facts

- Endpoint: POST https://numormo.vercel.app/api/solve/nonlinear
- 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-nonlinear-equation-solver-7b2e527f
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_mvHwp4D8gmYVg8BU6Jsvt

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-7b2e527f -d '<json body>'
```

Example prompt: Can you solve the nonlinear equation x^3 - 2x - 5 = 0 numerically, starting with an initial guess of x = 2?

## When to prefer this

Choose this endpoint when you need to numerically find a zero (root) of a nonlinear, transcendental, or complex algebraic equation that cannot be solved in closed form. Ideal when you have a reasonable initial guess and need a fast, dependency-free computation without setting up a local math library.

## Known failure modes

- Initial guess is too far from any root causing divergence or non-convergence
- Function expression uses unsupported syntax or undefined variables
- Division by zero or undefined function value at the guess point
- No real root exists near the provided guess
- Malformed function string returns a parse 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' field, a 'result' object containing the computed root value, and a 'computation' string describing in human-readable form what was solved and the numerical outcome.

## 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-7b2e527f/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)