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Numora Cubic Equation Solver
x402
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 2026-09-13).
Solves a cubic equation ax³ + bx² + cx + d = 0, returning all real and complex roots.
Price / call$0.1
Success—
StatusUnknown
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.
Example use cases
Physics trajectory intersection calculation
“I need to find when two objects cross paths — it reduces to the cubic equation x³ - 6x² + 11x - 6 = 0. Can you solve it and tell me all the roots?”
Engineering control system pole finding
“Solve the characteristic equation for my control system: 3x³ + 2x² - x + 4 = 0. I need all three roots to check system stability.”
Financial cubic regression zero crossing
“My revenue model yields the cubic 1x³ - 2.5x² + 0.5x + 1 = 0. Can you find all the roots so I can identify the break-even points?”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/solve/cubicWhen to prefer
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.
Side effects
- 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
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| arequired | number | |
| brequired | number | |
| crequired | number | |
| drequired | number |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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