Math Expression

Use when the user wants an actual math result, simplification, expansion, exact value, high-precision value, analytic solution, or numerical solution for algebra, calculus, linear algebra, series, asymptotics, or ODE/PDE problems.

Overview

Use this skill when a natural-language math request should be translated into a single Wolfram Language expression and then evaluated or solved.

It fits symbolic algebra, calculus, exact arithmetic, high-precision numerics, matrix problems, series, asymptotics, and ODE/PDE tasks. It does not replace a general code executor or a multi-step notebook workflow.

Quick start

bash

python3 -m pip install --user wolframclient
python3 {baseDir}/scripts/eval_expression.py --expr "Factor[x^4 - 1]"
python3 {baseDir}/scripts/eval_expression.py --expr "DSolve[y''[x] + y[x] == 0, y[x], x]"
python3 {baseDir}/scripts/eval_expression.py --expr "N[Pi, 80]" --precision 80 --json

Safety boundary

• Use this skill for math-only Wolfram Language expressions.
• By default, the script blocks filesystem, network, and process-related symbols such as Import, URLRead, Run, RunProcess, Get, Put, OpenRead, and OpenWrite.
• Do not disable this guard unless the runtime is isolated.
• This skill is not a general code execution tool and not a multi-step notebook agent.

Workflow

1. Convert the user's request into one Wolfram Language expression.
2. Check that the expression is math-only.
3. Run scripts/eval_expression.py --expr "..."
4. Return Exact, Numeric, Verified, and Version.

Examples

• Algebraic simplification: Factor[x^4 - 1]
• Definite integral: Integrate[x^2 Exp[-x], {x, 0, Infinity}]
• Limit: Limit[(Sin[x] - x)/x^3, x -> 0]
• ODE analytic solution: DSolve[y''[x] + y[x] == 0, y[x], x]
• PDE numeric solution: NDSolve[{D[u[x, t], t] == D[u[x, t], {x, 2}], u[0, t] == 0, u[1, t] == 0, u[x, 0] == Sin[Pi x]}, u, {x, 0, 1}, {t, 0, 1}]
• Asymptotic expansion: Asymptotic[LogGamma[x], x -> Infinity, 5]
• High-precision value: N[Pi, 120]

Notes

• Input is Wolfram Language only.
• This skill is single-expression and single-run.
• Runtime dependency: wolframclient and WolframKernel.