algebraic-reasoning
Symbolic manipulation, equation solving, and algebraic structures for mathematical reasoning. Covers distributive law, factoring, completing the square, linear through polynomial equation solving, systems of equations (substitution, elimination, Gaussian elimination, matrix methods), algebraic structures (groups, rings, fields), modular arithmetic, polynomial theory, and inequalities. Use when solving equations, simplifying expressions, working with algebraic structures, or performing symbolic manipulation.
npx skills add majiayu000/claude-skill-registry --skill algebraic-reasoning --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Algebraic Reasoning Algebra is the study of structure, relation, and quantity expressed through symbols and the rules for manipulating those symbols. It is the language in which most mathematics is written and the engine behind equation solving, function analysis, and abstract structure theory. This skill covers concrete manipulation techniques, equation-solving strategies, and the algebraic structures that underpin modern mathematics. **Agent affinity:** gauss (systems, elimination, number theory), noether (abstract structures, ring/field theory) **Concept IDs:** math-variables-unknowns, math-equations-expressions, math-systems-polynomials, math-pattern-recognition, math-fractions-ratios ## Part I — Symbolic Manipulation ### The Distributive Law and Its Consequences The distributive law a(b + c) = ab + ac is the single most important algebraic identity. Nearly every manipulation technique — factoring, expanding, completing the square, polynomial long division — is an application of distributivity in one direction or the other. **Expansion** applies the law left-to-right: 3(x + 4) = 3x + 12. **Factoring** applies it right-to-left: 3x + 12 = 3(x + 4). ### Core Factoring Techniques
- Part I — Symbolic Manipulation
- The Distributive Law and Its Consequences
- Core Factoring Techniques
- Completing the Square
- Deriving the Quadratic Formula
- Part II — Equation Solving
- Linear Equations
- Quadratic Equations
- Polynomial Equations (Degree >= 3)
- Part III — Systems of Equations
- Substitution
- Elimination
- Gaussian Elimination
- Matrix Methods
What does the algebraic-reasoning skill do?
Symbolic manipulation, equation solving, and algebraic structures for mathematical reasoning. Covers distributive law, factoring, completing the square, linear through polynomial equation solving, systems of equations (substitution, elimination, Gaussian elimination, matrix methods), algebraic structures (groups, rings, fields), modular arithmetic, polynomial theory, and inequalities. Use when solving equations, simplifying expressions, working with algebraic structures, or performing symbolic manipulation.
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill algebraic-reasoning --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.