{"uid":"cap_BzgL5bkPQnTR_JnKEXRhP","slug":"numora-linear-equation-solver-f92a6a8d","name":"Numora Linear 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/linear","method":"POST","headers":{},"bodySchema":{"type":"object","required":["a","b"],"properties":{"a":{"type":"number"},"b":{"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__lTdZmRe4CIVKTdD3doUl","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 a linear equation of the form ax + b = 0, returning the root x as a pure math computation","exampleAgentPrompt":"Solve the linear equation 4x + 12 = 0 for me — I need the exact value of x using Numora's math computation API.","exampleUseCases":[{"title":"Break-even point calculation","prompt":"I need to find the break-even unit count where my profit equation is 250x - 5000 = 0. Can you solve that linear equation for x?"},{"title":"Physics problem solving","prompt":"In my physics homework I have the equation 9.8x - 49 = 0 where x is time in seconds. Solve for x please."},{"title":"Automated algebra tutoring check","prompt":"My student wrote the equation 7x + 21 = 0. Can you solve it for x so I can verify their answer of -3?"}],"resultDescription":"Returns a JSON object with a boolean 'success' field (always true on success), a 'result' object containing the computed value of x (the solution to ax + b = 0), and a 'computation' string providing a human-readable description of what was calculated.","failureModes":["Missing required parameter 'a' or 'b' returns a validation error","Coefficient 'a' equal to zero produces a degenerate equation with no unique solution (division by zero)","Non-numeric input types for a or b will fail schema validation","Payment failure via x402 micropayment if insufficient USDC balance on Base"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, serverless, zero-dependency solution to solve a single-variable linear equation (ax + b = 0) without spinning up a full computer algebra system. Ideal for AI agents that need deterministic, exact algebraic results as part of a larger workflow, financial modeling, or educational applications. Prefer over general-purpose CAS tools when cost, latency, and simplicity matter.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:40:50.020Z","isFirstParty":false}