{"uid":"cap_h7ZylSb9rVKInB6VTbECE","slug":"numora-polynomial-equation-solver-0ea8a2ae","name":"Numora Polynomial 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/polynomial","method":"POST","headers":{},"bodySchema":{"type":"object","required":["coefficients"],"properties":{"coefficients":{"type":"array","description":"Highest degree first"}}},"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_8txJGjPKDqV2TheRjIPAX","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 polynomial equations by finding roots given an array of coefficients (highest degree first)","exampleAgentPrompt":"Can you find the roots of the polynomial 2x³ - 6x² + 2x + 4? The coefficients highest-degree first are [2, -6, 2, 4].","exampleUseCases":[{"title":"Solve quadratic in engineering calc","prompt":"I need to find where the parabola 3x² - 12x + 9 crosses zero — can you solve it and give me all the roots? Coefficients are [3, -12, 9]."},{"title":"Cubic root finding for physics model","prompt":"My physics simulation has a cubic: x³ - 6x² + 11x - 6 equals zero. Can you find all three roots for me? Coefficients are [1, -6, 11, -6]."},{"title":"Verify polynomial factorization","prompt":"I think x² - 5x + 6 factors into (x-2)(x-3), so the roots should be 2 and 3. Can you confirm by solving it with coefficients [1, -5, 6]?"}],"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed roots (real and/or complex) of the polynomial, and a human-readable computation string describing what was solved.","failureModes":["Missing or empty coefficients array returns a validation error","Empty coefficients array or single-element array may produce undefined behavior","Very high-degree polynomials may hit numerical precision limits","Non-numeric values in coefficients array cause parsing failures","Network or server errors on Vercel infrastructure return 5xx responses"],"whenToPreferThis":"Choose this endpoint when you need fast, dependency-free polynomial root finding without spinning up a full CAS (computer algebra system). Ideal for AI agents performing algebraic reasoning, engineering calculations, or educational math tasks where x402 micropayment on Base is acceptable and you need structured JSON output with a human-readable computation description.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T18:52:30.247Z","isFirstParty":false}