Math & Numbers
Decompose N(x)/D(x) into A/(x−r)^j + (Bx + C)/((x−α)² + β²) with long division for improper fractions and numeric residual verification.
Call this tool from your code in three languages.
curl -X POST 'http://127.0.0.1:3003/en/api/tools/partial-fraction-decomposer' \
-H 'Content-Type: application/json' \
-d '{"numCoeffs":"5,3","denCoeffs":"2,3,1","decimalPlaces":4}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST http://127.0.0.1:3003/en/api/tools/partial-fraction-decomposer| Name | Type | Required | Description |
|---|---|---|---|
| numCoeffs | text | Yes | Comma-separated numerator coefficients, constant term first, degree ≤ 8, e.g. 5,3 → 3x + 5. |
| denCoeffs | text | Yes | Comma-separated denominator coefficients, constant term first, degree 1–6, e.g. 2,3,1 → x² + 3x + 2. |
| decimalPlaces | number | No | — |
Text result
{
"result": "Processed text content",
"error": "Error message (optional)",
"message": "Notification message (optional)",
"metadata": {
"key": "value"
}
}Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-partial-fraction-decomposer": {
"name": "partial-fraction-decomposer",
"description": "Decompose N(x)/D(x) into A/(x−r)^j + (Bx + C)/((x−α)² + β²) with long division for improper fractions and numeric residual verification.",
"baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=partial-fraction-decomposer",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "partial-fraction-decomposer",
"arguments": {
"numCoeffs": "5,3",
"denCoeffs": "2,3,1",
"decimalPlaces": 4
}
}
}Questions or issues? Contact [email protected]