# Numora Nonlinear Equation Solver

> Numora Nonlinear 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 2026-09-15).

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

## Facts

- Endpoint: POST https://numomo.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-5584d03f
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_eNOJ7DkbWWa3p3rgQMmSZ

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-5584d03f -d '<json body>'
```

Example prompt: Can you solve the equation x^3 - x - 2 = 0 numerically? Start with an initial guess of x = 1.5.

## When to prefer this

Use this endpoint when you need to numerically find the root of a nonlinear equation expressed as a string function and can provide a reasonable initial guess. Prefer this over symbolic solvers when you need a fast numeric answer without algebraic simplification. It has zero external dependencies and runs entirely server-side with micropayment pricing via x402, making it ideal for AI agents that need lightweight, reliable math computation without setting up a local solver.

## Known failure modes

- Function expression uses unsupported syntax or operators — returns error
- Initial guess is far from any root causing divergence or non-convergence
- Division by zero or undefined values encountered during iteration
- Malformed or missing required fields (fn, guess) return validation error
- Function has no real root near the guess — solver may return NaN or fail to converge

## 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 'success' boolean, a 'result' object containing the computed root value (x where f(x)≈0), 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-5584d03f/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)