Tools for agents: Exact rational polynomial division

Connect with MCP

{
  "mcpServers": {
    "super-agent-tools": {
      "url": "https://app.getsupers.com/sites/agent-polynomial-division/mcp"
    }
  }
}

Use this URL in any client supporting remote Streamable HTTP MCP. Calls return structured JSON; inputs are processed without persistence.

Call divide_polynomials

Coefficients are ordered by ascending power: [a0,a1,a2] means a0+a1*x+a2*x^2. Inputs are nonempty arrays of integers or quoted finite decimal/fraction strings; JSON floats and booleans are rejected. High-power trailing zeros are removed; every zero polynomial is represented as ["0"] with degree null. A zero divisor fails even when padded with zeros. Quotient and remainder satisfy dividend=divisor*quotient+remainder exactly, with remainder degree strictly below divisor degree unless remainder is zero. exact_division means a zero remainder, not that the quotient has integer coefficients. Constants and a dividend of lower degree are supported. This is algebra over rational coefficients in one formal variable; it does not evaluate expressions, factor polynomials, find roots or perform modular arithmetic.

{
  "name": "divide_polynomials",
  "title": "Exact rational polynomial division",
  "description": "Divide ascending-power coefficient arrays over the rationals, returning normalized quotient and remainder with exact reconstruction guarantees.",
  "inputSchema": {
    "properties": {
      "dividend": {
        "items": {
          "anyOf": [
            {
              "type": "integer"
            },
            {
              "type": "string"
            }
          ]
        },
        "title": "Dividend",
        "type": "array"
      },
      "divisor": {
        "items": {
          "anyOf": [
            {
              "type": "integer"
            },
            {
              "type": "string"
            }
          ]
        },
        "title": "Divisor",
        "type": "array"
      }
    },
    "required": [
      "dividend",
      "divisor"
    ],
    "title": "divide_polynomialsArguments",
    "type": "object"
  },
  "outputSchema": {
    "additionalProperties": true,
    "title": "divide_polynomialsDictOutput",
    "type": "object"
  },
  "icons": null,
  "annotations": {
    "title": null,
    "readOnlyHint": true,
    "destructiveHint": false,
    "idempotentHint": true,
    "openWorldHint": false
  },
  "meta": null,
  "execution": null
}

Run the example to see the actual result.

HTTP alternative

POST https://app.getsupers.com/sites/agent-polynomial-division/call
Content-Type: application/json

{
  "dividend": [
    -1,
    0,
    0,
    1
  ],
  "divisor": [
    1,
    0,
    2
  ]
}

The HTTP and MCP interfaces execute the same implementation. Validation errors are returned explicitly. See the tool notes above for its supported inputs and behavior.