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Numora Cubic Equation Solver
x402
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
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 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.
Example use cases
Engineering beam stress analysis roots
“I need to find where the stress distribution equals zero in a cantilever beam. The cubic equation describing the bending moment is 3x³ - 12x² + 8x + 4 = 0. What are all the roots?”
Financial polynomial break-even calculation
“We're modeling profit curves for a product line, and the break-even points follow this cubic: -x³ + 15x² - 50x + 24 = 0. Can you solve for all the values of x where we break even?”
Chemistry reaction equilibrium solver
“I'm analyzing a chemical reaction with a cubic equilibrium constant equation: 5x³ + 2x² - 7x - 3 = 0. Find me all possible real and complex roots so I can determine which equilibrium states are physically meaningful.”
Technical details
Endpoint
POSThttps://numormor.netlify.app/api/solve/cubicWhen to prefer
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.
Side effects
- 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
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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