# Numora Cubic Equation Solver

> Numora Cubic Equation Solver is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.05/call, status unknown (last checked 2026-10-17).

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

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/solve/cubic?utm_source=zero.xyz
- Price: $0.05/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-17
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-cubic-equation-solver-2271edfd
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_vJWbDELw9hsDWDlp65_KH

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-2271edfd -d '<json body>'
```

Example prompt: Solve the cubic equation 2x³ - 4x² + x + 5 = 0 and give me all the roots.

## When to prefer this

Use this endpoint when you need to find all roots of a cubic polynomial equation and want a pure math computation with zero external dependencies. Prefer this over general-purpose CAS systems when low-latency, lightweight cubic solving is needed and micropayment cost ($0.10 USDC) is acceptable.

## Known failure modes

- Missing required coefficients a, b, c, or d returns validation error
- a=0 degenerates to quadratic — may return error or unexpected behavior
- Non-numeric inputs rejected
- Payment failure via x402 micropayment returns 402 status
- Server unavailable returns 5xx

## 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 flag, a result object containing all roots of the cubic equation (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-2271edfd/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)