{"uid":"cap_XYr5GwkgC6N3JX6ZRgfIv","slug":"numora-cubic-equation-solver-392c9779","name":"Numora Cubic Equation Solver","description":"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.","url":"https://numormo.vercel.app/api/solve/cubic","method":"POST","headers":{},"bodySchema":{"type":"object","required":["a","b","c","d"],"properties":{"a":{"type":"number"},"b":{"type":"number"},"c":{"type":"number"},"d":{"type":"number"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_T72CwP6mS0JdMvU7-4mpZ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Solves cubic equations of the form ax³ + bx² + cx + d = 0 and returns all real and complex roots","exampleAgentPrompt":"Solve the cubic equation 2x³ - 3x² + x - 5 = 0 for me — find all the roots using Numora's math API, where a=2, b=-3, c=1, and d=-5.","exampleUseCases":[{"title":"Engineering beam deflection roots","prompt":"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?"},{"title":"Cubic cost function breakeven","prompt":"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."},{"title":"Physics trajectory zero-crossing","prompt":"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."}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T18:50:21.922Z","isFirstParty":false}