{"uid":"cap_eNOJ7DkbWWa3p3rgQMmSZ","slug":"numora-nonlinear-equation-solver-5584d03f","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://numomo.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_YQwz4BGgdlUhUSWkNnmgt","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 equation x^3 - x - 2 = 0 numerically? Start with an initial guess of x = 1.5.","exampleUseCases":[{"title":"Engineering equilibrium point finder","prompt":"I need to find the equilibrium point of a system described by e^x - 3x = 0. Use an initial guess of x = 1 to find the root numerically."},{"title":"Financial break-even rate solver","prompt":"Solve for the interest rate r in the equation (1+r)^10 - 2 = 0, starting from an initial guess of r = 0.07 — I'm trying to find the doubling rate."},{"title":"Physics zero-crossing calculation","prompt":"Find where sin(x) - 0.5*x equals zero by solving it numerically with a starting guess of x = 1.5."}],"resultDescription":"Returns a JSON object with a 'success' boolean, a 'result' object containing the computed root value (x where f(x)≈0), and a 'computation' string describing what was solved in human-readable form.","failureModes":["Function expression uses unsupported syntax or operators — returns error","Initial guess is far from any root causing divergence or non-convergence","Division by zero or undefined values encountered during iteration","Malformed or missing required fields (fn, guess) return validation error","Function has no real root near the guess — solver may return NaN or fail to converge"],"whenToPreferThis":"Use this endpoint when you need to numerically find the root of a nonlinear equation expressed as a string function and can provide a reasonable initial guess. Prefer this over symbolic solvers when you need a fast numeric answer without algebraic simplification. It has zero external dependencies and runs entirely server-side with micropayment pricing via x402, making it ideal for AI agents that need lightweight, reliable math computation without setting up a local solver.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:42:54.175Z","isFirstParty":false}