# Numora Cubic Equation Solver

> Numora Cubic 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 2026-09-14).

Solves cubic equations of the form ax³ + bx² + cx + d = 0 and returns all real and complex roots

## Facts

- Endpoint: POST https://numormo.vercel.app/api/solve/cubic
- 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-cubic-equation-solver-392c9779
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_XYr5GwkgC6N3JX6ZRgfIv

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-392c9779 -d '<json body>'
```

Example prompt: Solve the cubic equation 2x³ - 3x² + x - 5 = 0 for me — find all the roots using Numora's math API, where a=2, b=-3, c=1, and d=-5.

## When to prefer this

Use this endpoint when you need to analytically solve a cubic polynomial equation as part of an automated pipeline or agent workflow, especially when you want a serverless, dependency-free math computation without spinning up a local solver. Ideal for engineering, physics, finance, or optimization problems that reduce to cubic equations.

## Known failure modes

- Missing required coefficients (a, b, c, or d) returns a validation error
- Non-numeric inputs cause a 400 bad request
- If a=0 the equation degenerates to a quadratic and may return an error or unexpected result
- Payment failure via x402 micropayment protocol prevents the call from completing

## 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 human-readable computation description string, 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-392c9779/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)