equation_solve
Solve equations exactly where possible. Polynomials of any degree up to 100: exact rational roots, exact surd forms for quadratic factors ("(3 + √5)/2", complex "(-1 + i√3)/2"), multiplicities via square-free factorisation, and high-precision numeric roots (Aberth–Ehrlich + Newton polishing) for ...
This record as markdown: /tools/com-it-scorptech-x402/equation-solve.md
What equation_solve does on ScorpTech x402 API
AI agents call equation_solve to retrieve information from ScorpTech x402 API without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.
| Parameter | Type | Required | Description |
|---|---|---|---|
max | number | — | Numeric mode: search range end |
min | number | — | Numeric mode: search range start |
angle | string | — | |
equation | string | — | One equation, e.g. "x^2 - 5x + 6 = 0" (no "=" means "= 0") |
variable | string | — | Variable to solve for (auto-detected) |
equations | array | — | Linear system, e.g. ["2x + 3y = 7", "x - y = 1"] |
Parameters from the server's own tool schema.
Why equation_solve is rated Low
Even though equation_solve only reads data, uncontrolled read access leaks sensitive information and racks up API costs: an agent caught in a retry loop can make thousands of calls a minute without anyone noticing.
Attacks that exploit this kind of access
The rule that runs equation_solve safely
PolicyLayer is an MCP gateway: it sits between your AI agents and ScorpTech x402 API, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For equation_solve, this is the rule to start with:
equation_solve is read-only, so it stays allowed. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect ScorpTech x402 API, apply this rule, and every equation_solve call is checked against it from then on.
Questions about equation_solve
Solve equations exactly where possible. Polynomials of any degree up to 100: exact rational roots, exact surd forms for quadratic factors ("(3 + √5)/2", complex "(-1 + i√3)/2"), multiplicities via square-free factorisation, and high-precision numeric roots (Aberth–Ehrlich + Newton polishing) for the rest. Any other single-variable equation ("cos(x) = x", "2^x = x^2 + 1", "ln(x) + x = 5") is solved numerically over a range with sign scanning + Brent's method, rejecting poles. Systems of linear equations ("2x + 3y = 7", "x - y = 1") are solved with exact rational Gaussian elimination, reporting unique, none, or infinitely many solutions in parametric form. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/equation-solve. It is categorised as a Read tool in the ScorpTech x402 API MCP Server, which means it retrieves data without modifying state.
equation_solve accepts 6 parameters: max, min, angle, equation, variable, equations. The full parameter table on this page comes from the server's own tool schema.
Register the ScorpTech x402 API MCP server in PolicyLayer and add a rule for equation_solve: 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 ScorpTech x402 API. Nothing to install.
equation_solve is a Read tool with low risk. Read-only tools are generally safe to allow by default.
Yes. Add a rate_limit block to the equation_solve 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.
Set action: deny in the PolicyLayer policy for equation_solve. 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.
equation_solve is provided by the ScorpTech x402 API MCP server (https://scorptech.it.com/api/x402/mcp). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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