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Numora Cubic Equation Solver
x402
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
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 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.
Example use cases
Engineering beam deflection roots
“I need to find all the roots of the cubic equation x³ - 6x² + 11x - 6 = 0, where a=1, b=-6, c=11, d=-6 — can you solve it and give me the solutions?”
Cubic cost function breakeven
“Solve this cubic for me: 3x³ + 2x² - 5x + 1 = 0 — I'm modeling a cost function and need to know where it crosses zero. Coefficients are a=3, b=2, c=-5, d=1.”
Physics trajectory zero-crossing
“Can you find all values of x where the cubic polynomial x³ - x² - x + 1 equals zero? That's a=1, b=-1, c=-1, d=1.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/solve/cubicWhen to prefer
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.
Side effects
- 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
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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