# Numora Linear Equation Solver

> Numora Linear 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 a linear equation of the form ax + b = 0, returning the root x as a pure math computation

## Facts

- Endpoint: POST https://numomo.vercel.app/api/solve/linear
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-linear-equation-solver-f92a6a8d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_BzgL5bkPQnTR_JnKEXRhP

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-linear-equation-solver-f92a6a8d -d '<json body>'
```

Example prompt: Solve the linear equation 4x + 12 = 0 for me — I need the exact value of x using Numora's math computation API.

## When to prefer this

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.

## Known failure modes

- 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

## 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 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.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "a",
  "b"
 ],
 "properties": {
  "a": {
   "type": "number"
  },
  "b": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "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"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-linear-equation-solver-f92a6a8d/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)