# Numora Linear Equation Solver

> Numora Linear Equation Solver is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Solves a linear equation of the form ax + b = 0, returning the exact solution value with no external dependencies.

## Facts

- Endpoint: POST https://numormo.vercel.app/api/solve/linear
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-linear-equation-solver-95f2ac8b
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_FGeQ_TA6felr_8zXuw-uz

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-95f2ac8b -d '<json body>'
```

Example prompt: Can you solve the linear equation 5x + 20 = 0 for me — just give me the exact value of x?

## When to prefer this

Choose this endpoint when you need a fast, dependency-free algebraic solution to a single-variable linear equation (ax + b = 0). It is ideal for agents that need reliable, deterministic math results without calling a general-purpose LLM or symbolic math library. Prefer it over full CAS systems when simplicity and micropayment-based pricing are acceptable, and when the equation is guaranteed to be linear (degree 1).

## Known failure modes

- Division by zero when a = 0 (no unique solution exists; expect error or undefined result)
- Missing required fields a or b returns a 400-level validation error
- Non-numeric values for a or b cause schema validation failure
- Extremely large or small float values may produce precision loss in the result

## 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, a 'result' object containing the solved value of x (i.e. x = -b/a), and a 'computation' string describing in human-readable terms what was calculated (e.g. 'Solved 3x + 9 = 0 → x = -3').

## 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-95f2ac8b/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)