// MCP TOOL REFERENCE

find_root

Find root of f(x)=0 using Newton-Raphson method. Provide the expression, variable, and initial guess. Converges quickly for well-behaved functions. Examples: find_root(

ServerMCP Calc Tools
CategoryExecute

How to control find_root ↓

WHAT IT DOES

What find_root does on MCP Calc Tools

AI agents invoke find_root to trigger actions in MCP Calc Tools. What it does depends on the arguments the agent supplies, and its effects often reach beyond the immediate call — builds kicked off, notifications sent, workflows started.

THE RISK

High Risk

Why find_root needs a policy

The tool evaluates an arbitrary mathematical expression iteratively using Newton-Raphson. This constitutes execution of a numerical method on arbitrary input expressions rather than a simple read/query. While the blast radius is moderate (no data destruction or financial commitment), a malformed or malicious expression could cause infinite loops, resource exhaustion, or unintended computation side effects.

From the tool's definition 'Find root of f(x)=0 using Newton-Raphson method. Provide the expression, variable, and initial guess' — executes a numerical iterative algorithm on a user-supplied mathematical expression

Risk signalsAdmin/system-level operation

Documented attack patterns abuse exactly the kind of access find_root gives an agent:

POLICY

How to control find_root

PolicyLayer is an MCP gateway — it sits between your AI agents and MCP Calc Tools, and nothing reaches the server without passing your rules. This is the rule we recommend for find_root:

policy.json

{
  "version": "1",
  "default": "deny",
  "tools": {
    "find_root": {
      "limits": [
        {
          "counter": "find_root_rate",
          "window": "minute",
          "max": 10,
          "scope": "grant"
        }
      ]
    }
  }
}

find_root stays usable, but rate-capped — a runaway agent can't fire it dozens of times a minute. Everything else on the server is denied unless you say otherwise.

Create a free account and register MCP Calc Tools — nothing to install.
Add this policy — paste it, or build it visually.
Point your MCP client (Claude, Cursor, anything) at your gateway URL.

RATE-LIMIT THIS TOOL →

Free to start. No card required.

EXPLORE

Related tools and policies

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Go deeper

High-risk tools in MCP Calc Tools → Every high-risk tool this server exposes, in one view.
All high-risk MCP tools → Every high-risk tool across the catalogue, and the policy pattern that contains them.
The MCP Attack Database → Documented attack patterns against MCP deployments — and the policies that stop them.
Agent sandbox → Bounding what an agent can execute and where the boundary should sit.
Least privilege for MCP → Granting agents the minimum tool surface the task needs.
Rate Limiting MCP Tool Calls: A Practical Guide →
MCP Security: Why Prompt Guardrails Aren't Enough →

FAQ

Questions about find_root

What does the find_root tool do? +

Find root of f(x)=0 using Newton-Raphson method. Provide the expression, variable, and initial guess. Converges quickly for well-behaved functions. Examples: find_root(. It is categorised as a Execute tool in the MCP Calc Tools MCP Server, which means it can trigger actions or run processes. Use rate limits and argument validation.

How do I enforce a policy on find_root? +

Register the MCP Calc Tools MCP server in PolicyLayer and add a rule for find_root: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches MCP Calc Tools. Nothing to install.

What risk level is find_root? +

find_root is a Execute tool with high risk. Execute tools should be rate-limited and have argument validation enabled.

Can I rate-limit find_root? +

Yes. Add a rate_limit block to the find_root rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.

How do I block find_root completely? +

Set action: deny in the PolicyLayer policy for find_root. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.

What MCP server provides find_root? +

find_root is provided by the MCP Calc Tools MCP server (nbiish/mcp-calc-tools). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.

Enforce policy on every MCP Calc Tools tool call.

Start from MCP Calc Tools, add the rest of your stack, and see everything your agents can call. Then put policy on all of it.

CHECK YOUR STACK →

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22 MCP Calc Tools tools catalogued and risk-classified — across an index of 43,000+ MCP servers.