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Numora Diophantine Equation Solver
x402
Numora Diophantine Equation Solver is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).
Solves linear Diophantine equations of the form ax + by = c, returning integer solutions if they exist
Price / call$0.1
Success—
StatusUnknown
How this service works
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.
Output
Returns a success flag, a human-readable description of the computation, and a result object containing whether integer solutions exist, a particular solution (x0, y0) if solvable, the GCD of a and b, and the general solution parametric form (e.g. x = x0 + (b/gcd)t, y = y0 - (a/gcd)t for any integer t).
Example use cases
Cryptography key relationship check
“I need to find integer solutions to the equation 17x + 5y = 1 — can you solve this Diophantine equation and give me the general solution?”
Resource allocation integer constraint
“I have the equation 6x + 9y = 12 and I need to know if there are integer solutions and what they are — can you solve this for me?”
Verify Bezout identity coefficients
“Can you solve the Diophantine equation 35x + 15y = 5 and tell me if integer solutions exist, and if so what x and y values work?”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/number/diophantineWhen to prefer
Choose this endpoint when you need to solve a two-variable linear equation strictly over the integers (Diophantine form ax + by = c), particularly in number theory, cryptography (Bezout coefficients), modular arithmetic, or combinatorial resource allocation problems. Prefer over general equation solvers when integer constraints are mandatory and you need the complete parametric family of solutions.
Side effects
- Both a and b are zero (undefined equation, no unique solution)
- c is not divisible by gcd(a, b) meaning no integer solution exists — endpoint returns success:true but indicates unsolvable
- Non-integer inputs rejected with 400 error
- Missing required fields a, b, or c return validation error
- Payment not included or insufficient triggers x402 payment required response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| arequired | integer | |
| brequired | integer | |
| crequired | integer |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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