{"uid":"cap_Nakm4KI3ksUzjP2yH5a-5","slug":"numora-cubic-equation-solver-48cfb24e","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://numormor.netlify.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":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"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_jISYNQexFjyYH4--KveBZ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Solves a cubic equation ax³ + bx² + cx + d = 0 and returns all roots","exampleAgentPrompt":"Solve the cubic equation 2x³ - 6x² + 3x + 1 = 0 — give me all the roots.","exampleUseCases":[{"title":"Engineering beam stress analysis roots","prompt":"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?"},{"title":"Financial polynomial break-even calculation","prompt":"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?"},{"title":"Chemistry reaction equilibrium solver","prompt":"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."}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:46:08.087Z","isFirstParty":false}