{"uid":"cap_xRiFoCH8zGZRcVzs43SS6","slug":"numora-cubic-equation-solver-e5a47a35","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://numomo.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_MmkXAGq8odiOpLMfpk3QK","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 a cubic equation ax³ + bx² + cx + d = 0, returning all real and complex roots.","exampleAgentPrompt":"Solve the cubic equation 2x³ - 4x² + x - 3 = 0 and give me all the roots.","exampleUseCases":[{"title":"Physics trajectory intersection calculation","prompt":"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?"},{"title":"Engineering control system pole finding","prompt":"Solve the characteristic equation for my control system: 3x³ + 2x² - x + 4 = 0. I need all three roots to check system stability."},{"title":"Financial cubic regression zero crossing","prompt":"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?"}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-16T00:46:51.545Z","isFirstParty":false}