# Numora Cubic Equation Solver

> Numora Cubic 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 2026-09-16).

Solves a cubic equation ax³ + bx² + cx + d = 0, returning all real and complex roots.

## Facts

- Endpoint: POST https://numomo.vercel.app/api/solve/cubic
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-16
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-cubic-equation-solver-e5a47a35
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_xRiFoCH8zGZRcVzs43SS6

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-cubic-equation-solver-e5a47a35 -d '<json body>'
```

Example prompt: Solve the cubic equation 2x³ - 4x² + x - 3 = 0 and give me all the roots.

## When to prefer this

Use this endpoint when you need an exact, server-side solution to a cubic polynomial equation with known numerical coefficients, especially when you lack a local math library or need reproducible, zero-dependency computation. Prefer it over generic CAS systems when only cubic solving is required and cost-per-call efficiency matters.

## Known failure modes

- Missing required coefficient (a, b, c, or d) returns a validation error
- Non-numeric coefficient values cause a 400-level error
- a=0 collapses to a quadratic and may return an error or unexpected result
- Network timeout on the Vercel serverless function under cold-start conditions

## 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 'computation' string describing what was solved, and a 'result' object containing all roots (real and/or complex) of the cubic equation ax³ + bx² + cx + d = 0.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "a",
  "b",
  "c",
  "d"
 ],
 "properties": {
  "a": {
   "type": "number"
  },
  "b": {
   "type": "number"
  },
  "c": {
   "type": "number"
  },
  "d": {
   "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-cubic-equation-solver-e5a47a35/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)