# Numora Cubic Equation Solver

> Numora Cubic 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).

Solves a cubic equation ax³ + bx² + cx + d = 0 and returns all roots

## Facts

- Endpoint: POST https://numormor.netlify.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-48cfb24e
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Nakm4KI3ksUzjP2yH5a-5

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-48cfb24e -d '<json body>'
```

Example prompt: Solve the cubic equation 2x³ - 6x² + 3x + 1 = 0 — give me all the roots.

## When to prefer this

Use this endpoint when you need to find the roots of a cubic (third-degree) polynomial equation ax³+bx²+cx+d=0 without setting up a local math library. Ideal for AI agents needing pure server-side symbolic or numerical algebra with no external dependencies and pay-per-call pricing.

## Known failure modes

- Missing required coefficients a, b, c, or d returns a validation error
- If a=0 the equation degenerates to quadratic and may return an error or unexpected result
- Non-numeric inputs cause a bad request error
- Payment failure via x402 micropayment returns 402 Payment Required

## 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 roots of the cubic (real and/or complex), and a human-readable computation string describing what was solved.

## 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-48cfb24e/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)