{"uid":"cap_ripjrs3_rmfGTqPVZ0lZl","slug":"numora-nonlinear-equation-solver-7ff3dfe8","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://numorapoi.orbonomy.xyz/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":"probe","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":"$0.05/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.05","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.05","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_GelL-GINIFKhyNZhRDegJ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.05","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Finds the numerical root of a nonlinear single-variable equation given a function expression and an initial guess","exampleAgentPrompt":"Can you solve the nonlinear equation x^3 - 2x - 5 = 0 for me numerically, starting with an initial guess of x = 2?","exampleUseCases":null,"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed root value, and a human-readable computation string describing what was solved.","failureModes":["Function expression is syntactically invalid — likely returns error or success:false","Initial guess is too far from any real root, causing divergence or non-convergence","Division by zero or singularity encountered during iteration","Function has no real roots — solver may fail to converge","Malformed request body missing required fn or guess fields — 400 error","Payment not fulfilled via x402 — 402 Payment Required response"],"whenToPreferThis":"Use this endpoint when you need to numerically solve a single-variable nonlinear equation (polynomial, transcendental, or mixed) and can provide a reasonable initial guess. Prefer this over symbolic solvers when an approximate numerical answer is sufficient and speed matters. Not suitable for systems of equations or when an exact closed-form solution is required.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:01:59.666Z","isFirstParty":false}