Substitute

Replace each named variable with a numeric or symbolic value, then simplify.

Validated server-side with Zod. The same schema feeds OpenAPI and the MCP tool list.

{
  "type": "object",
  "properties": {
    "expression": {
      "type": "string",
      "minLength": 1,
      "description": "Expression to substitute into"
    },
    "substitutions": {
      "type": "object",
      "additionalProperties": {
        "type": "string"
      },
      "description": "Map of variable -> replacement value or expression"
    }
  },
  "required": [
    "expression",
    "substitutions"
  ],
  "additionalProperties": false
}

All tools return { ok: true, result } on success and { ok: false, error } on failure. The result object contains:

Request

{
  "expression": "a*x^2 + b*x + c",
  "substitutions": {
    "a": "1",
    "b": "-3",
    "c": "2"
  }
}

Response

{
  "ok": true,
  "result": {
    "result": "-3*x+x^2+2"
  }
}

curl -X POST https://tools.aieo.se/api/v1/substitute \
  -H 'Content-Type: application/json' \
  -d '{"expression":"a*x^2 + b*x + c","substitutions":{"a":"1","b":"-3","c":"2"}}'

MCP clients call this tool as tools/call against /api/mcp:

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "substitute",
    "arguments": {
      "expression": "a*x^2 + b*x + c",
      "substitutions": {
        "a": "1",
        "b": "-3",
        "c": "2"
      }
    }
  }
}

• Substitution value is itself invalid syntax.
  `Unexpected token …` from the inner parse.

  {
    "expression": "x+1",
    "substitutions": {
      "x": "1 +"
    }
  }

• A required field is missing or has the wrong type.
  Zod validation error, e.g. `Required` or `Expected string, received number`.
• Nerdamer cannot parse the expression (unbalanced parens, unknown function, stray characters).
  `Unexpected token …` or `… is not a valid expression`.