Solve Symbolic Mathematics with SymPy
Symbolic mathematics becomes difficult when exact forms, assumptions, and solver choices matter. This skill provides focused SymPy workflows for reliable exact computation.
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Using "sympy". Solve x squared minus five x plus six equals zero and verify the roots.
Expected outcome:
The exact roots are x = 2 and x = 3. Substitution makes the polynomial zero for both roots.
Using "sympy". Differentiate sine of x squared and keep the result symbolic.
Expected outcome:
The derivative is two x multiplied by cosine of x squared.
Using "sympy". Find the eigenvalues of the matrix with rows [1, 2] and [2, 1].
Expected outcome:
The eigenvalues are 3 and -1, each with multiplicity one.
Most static alerts are false positives caused by Markdown backticks, ordinary SymPy imports, symbolic constructors, dictionary keys, and documentation links. Five file-writing examples and the recommendation to use eval are confirmed because they can overwrite files or execute untrusted code. Separate examples directly parse interactive input and deserialize a pickle without a trust boundary, creating high-severity code-execution risks.
These are real local capabilities that may be expected for this skill, so they require review but are not counted as confirmed malicious behavior.
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https://skillstore.io/skills/davila7-sympy/audits/9?utm_source=security_passport&utm_medium=share&utm_campaign=versioned_report[](https://skillstore.io/skills/davila7-sympy?utm_source=security_passport_badge)<a href="https://skillstore.io/skills/davila7-sympy?utm_source=security_passport_badge"><img src="https://skillstore.io/badges/skills/davila7-sympy/security.svg" alt="Skillstore security assessment" loading="lazy"></a><iframe src="https://skillstore.io/embed/skills/davila7-sympy.html" title="Skillstore Security Assessment" sandbox="allow-popups allow-popups-to-escape-sandbox" loading="lazy" referrerpolicy="no-referrer" width="420" height="180"></iframe>davila7. (2026). sympy security audit report (audit version 9) [Author version unspecified]. Skillstore. https://skillstore.io/skills/davila7-sympy/audits/9@techreport{davila7-davila7-sympy-2026,
author = {davila7},
title = {sympy security audit report (audit version 9)},
institution = {Skillstore},
year = {2026},
number = {9},
url = {https://skillstore.io/skills/davila7-sympy/audits/9},
note = {Author version unspecified}
}cff-version: 1.2.0
message: "If you use this Skill, cite its author and this versioned security audit report."
title: "sympy security audit report (audit version 9)"
version: "unspecified"
type: report
authors:
- name: "davila7"
date-released: "2026-07-23"
url: "https://skillstore.io/skills/davila7-sympy/audits/9"
identifiers:
- type: other
value: "skillstore:davila7-sympy:audit:9"
description: "Skillstore immutable audit report identifier"
Each author remains a separate installable skill. The recommended variant is ranked by Skillstore evidence.
Why this variant is first
k-dense-ai-sympy
2026-08-21
davila7-sympy
2026-08-21
Compute exact derivatives, integrals, limits, and parameterized solutions while preserving assumptions for reproducible scientific analysis.
Transform verified symbolic formulas into NumPy functions or generated source for engineering and software workflows.
Solve algebra, calculus, and linear algebra exercises exactly, then verify results through substitution or symbolic identities.
Define x as real. Solve {equation} exactly with SymPy, verify every solution by substitution, and explain any domain restrictions.For {expression}, compute the requested {calculus operation}. Keep exact values and state assumptions about every symbol.Model {system} symbolically with parameters {parameters}. Derive the governing equations, solve them where possible, and check dimensions or matrix shapes.Simplify {formula} symbolically. Generate {target language} output, identify numerical stability concerns, and propose tests against the exact expression.Author
davila7License
MIT
Skillstore revision
r2
Version notice
The author did not declare a version.
Ref
c43861a65bb95efcae259cd161c9d6f4dc7eec6f
Maintenance freshness
7/24/2026
Usage
7 downloads · 539 views
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