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cellrishi-codecellrishi-code/claude-skills-atlas/skills/mathematics/problem-solver/SKILL.md

mathematics-problem-solver

Skill6 starsChanged 40 days agoMITView on GitHub

Use when solving a mathematics problem and the user wants a rigorous, readable derivation with assumptions and verification.

The file

We split this skill into the rules it gives an agent

5 rules. About 0 are common, 5 are distinctive, and 0 are very specific to this project.

  • ≈0

    Common · estimate

    Many files like this have a rule of this kind.

  • ≈5

    Distinctive · estimate

    This author's own choices. Worth a look.

  • 0

    Very specific

    Tied to their project's names, files or tools. Probably skip.

  • Common
  • Distinctive
  • Very specific
  1. Distinctive:

    Keep algebra and notation explicit.

    line 14
  2. Distinctive:

    Check the result using substitution, limiting behavior, an alternative derivation, or another appropriate verification.

    line 15
  3. Distinctive:

    If there are multiple valid methods, mention them without unnecessarily expanding the solution.

    line 17
  4. Distinctive:

    Avoid decorative intuition.

    line 19
  5. Distinctive:

    Do not silently change assumptions or domains.

    line 21

≈ “Common” is an estimate: at least 1 in 5 of the 350,495 skill files we read have a rule of the same kind, not the same words. “Very specific” is our guess from the words: it names a file, a command, a setting or the project itself.

Keep what fits and drop the rest. Your version, ready for your agents.
Files
SKILL.md

Mathematics Problem Solver

Workflow

  1. Restate the problem precisely.
  2. List the known quantities, assumptions, and target.
  3. Select an appropriate method and briefly justify the choice.
  4. Solve step by step.
  5. Keep algebra and notation explicit.
  6. Check the result using substitution, limiting behavior, an alternative derivation, or another appropriate verification.
  7. State the final answer clearly.
  8. If there are multiple valid methods, mention them without unnecessarily expanding the solution.

Avoid decorative intuition. Use intuition only when it materially clarifies a difficult step.

Do not silently change assumptions or domains.

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