{"uid":"cap_mvHwp4D8gmYVg8BU6Jsvt","slug":"numora-nonlinear-equation-solver-7b2e527f","name":"Numora Nonlinear 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/nonlinear","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","guess"],"properties":{"fn":{"type":"string","description":"Function expression (e.g., 'x^2 - 4')"},"guess":{"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_u-Z09MNaUg_X0nZgACUpk","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":"Numerically solves a nonlinear equation f(x)=0 given a function expression and an initial guess, returning the root.","exampleAgentPrompt":"Can you solve the nonlinear equation x^3 - 2x - 5 = 0 numerically, starting with an initial guess of x = 2?","exampleUseCases":[{"title":"Finding equilibrium point in economics","prompt":"I need to find where supply equals demand — solve the equation 0.5*x^2 - 3*x + 1 = 0 starting from an initial guess of x = 4."},{"title":"Physics: solving transcendental equation","prompt":"Can you numerically solve sin(x) - 0.5*x = 0 for me, using an initial guess of x = 1? I need the non-trivial root."},{"title":"Engineering root-finding for control system","prompt":"Find the root of e^(-x) - x = 0 starting from x = 0.5 — I need the exact crossing point for a control system calculation."}],"resultDescription":"Returns a JSON object with a boolean 'success' field, a 'result' object containing the computed root value, and a 'computation' string describing in human-readable form what was solved and the numerical outcome.","failureModes":["Initial guess is too far from any root causing divergence or non-convergence","Function expression uses unsupported syntax or undefined variables","Division by zero or undefined function value at the guess point","No real root exists near the provided guess","Malformed function string returns a parse error"],"whenToPreferThis":"Choose this endpoint when you need to numerically find a zero (root) of a nonlinear, transcendental, or complex algebraic equation that cannot be solved in closed form. Ideal when you have a reasonable initial guess and need a fast, dependency-free computation without setting up a local math library.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T06:34:00.169Z","isFirstParty":false}