# Numora — Mathematical Optimization Solver

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

Finds local or global minima/maxima of a given mathematical function starting from an initial guess point

## Facts

- Endpoint: POST https://numomo.vercel.app/api/solve/optimization
- 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-mathematical-optimization-solver-58abf501
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_tg9lwEN3oGZMXCpS1olGw

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-mathematical-optimization-solver-58abf501 -d '<json body>'
```

Example prompt: Can you find the minimum of the function f(x, y) = (x - 3)^2 + (y + 1)^2 using gradient descent, starting from the initial guess [0, 0]?

## When to prefer this

Choose this endpoint when you need to numerically find the minimum (or maximum by negation) of a mathematical function expressed as a string, especially for unconstrained optimization problems. Prefer it over symbolic solvers when you need a fast numerical answer from an initial guess. It is particularly useful for multi-variable functions where analytical solutions are impractical. Use it when you do not have external dependencies or heavy libraries available and need a pure math computation via a lightweight API call.

## Known failure modes

- Invalid or unparseable function expression returns an error
- Divergence or non-convergence if initial guess is far from any minimum
- Incorrect result if function is multimodal and local minimum is found instead of global
- Missing required fields (fn or guess) returns a 400-level error
- Unsupported optimization method string may fall back to default or error

## 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 success boolean, a result object containing the optimal input values and the minimum function value found, and a human-readable computation string describing what was solved and the outcome.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn",
  "guess"
 ],
 "properties": {
  "fn": {
   "type": "string"
  },
  "guess": {
   "type": "array"
  },
  "method": {
   "type": "string"
  }
 }
}
```

## 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-mathematical-optimization-solver-58abf501/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)