{"uid":"cap_5eqM32hU_p3pXGPa7TcX5","slug":"numora-polynomial-solver-ee4b2181","name":"Numora Polynomial 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/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_ca-AfwJLdQmHBHopumyqV","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 and finds their roots given an array of coefficients in descending degree order","exampleAgentPrompt":"Solve the polynomial equation 2x³ - 6x² + 2x + 10 = 0 and find all its roots — give me the coefficients in order from highest to lowest degree.","exampleUseCases":[{"title":"Quadratic equation roots","prompt":"Find the roots of x² - 5x + 6 = 0 for me — the coefficients are 1, -5, and 6."},{"title":"Cubic control system analysis","prompt":"I need to find where this control system polynomial hits zero: 3x³ + 2x² - x - 4, so coefficients are 3, 2, -1, -4 from highest degree down."},{"title":"Engineering stress polynomial","prompt":"Solve this fourth-degree polynomial for me: x⁴ - 10x² + 9 — coefficients are 1, 0, -10, 0, 9 — I need all the roots."}],"resultDescription":"Returns a JSON object with success=true, 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 an error","Non-numeric values in coefficients array cause computation failure","Payment failure via x402 micropayment returns 402 status","Numerically unstable polynomials with near-zero leading coefficients may produce inaccurate roots","Extremely high-degree polynomials may hit timeout limits"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, serverless, zero-dependency polynomial root-finder that bills per-call via x402 micropayments on Base — ideal for AI agents that need occasional algebraic solving without setting up a full CAS (computer algebra system) library or managing infrastructure.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:51:47.991Z","isFirstParty":false}