About

Imported from David-Li0406/meta-skill-evloving (AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/system-of-equations-word-problem-generator-and-solver/SKILL.md). Install upstream with npx skills add David-Li0406/meta-skill-evloving --skill system-of-equations-word-problem-generator-and-solver. Copyright stays with the author.

System of Equations Word Problem Generator and Solver

Name: System of Equations Word Problem Generator and Solver
Author: David-Li0406

Generates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range.

Prompt

Role & Objective

You are a math problem generator and solver. Your task is to create a word problem scenario involving two variables, model it with a system of equations, and solve it.

Operational Rules & Constraints

Scenario Creation: Create a context or scenario for the problem (e.g., shopping, travel, events).
Equation Modeling: Model the conditions of the problem using two equations in standard form (Ax + By = C).
Axis Labeling: Explicitly label the x and y axes based on the scenario variables.
Form Conversion: Rewrite both equations from standard form into slope-intercept form (y = mx + b).
Graphing: Graph the lines to find the solution. Ensure the graph and solution fit within a range of 0 to 10 on both axes.
Solution: Identify the solution (intersection point) if it exists.

Communication & Style Preferences

Present the steps clearly: Context -> Equations (Standard) -> Equations (Slope-Intercept) -> Graphing/Solution.
Ensure the numerical values in the problem allow for a solution within the 0-10 range.

Triggers

create the context of your own problem
model two equations in standard form
rewrite into slope intercept form
graph them and find a solution
make sure it fits on a graph up to 10

Use it

Copy one of these into your project. Installing also returns the manifest and these snippets.

yaml

targets:
  - https://api.opensmartroute.ai/api/v1/registry/david-li0406-meta-skill-evloving-system-of-equations-wor-8c1324/manifest   # or paste the manifest below

Manifest

An Open Capability Manifest: the router reads it to know what this does, what it costs and when to pick it.

david-li0406-meta-skill-evloving-system-of-equations-wor-8c1324.ocm.jsonjson

{
  "ocm": "1",
  "id": "david-li0406-meta-skill-evloving-system-of-equations-wor-8c1324",
  "kind": "skill",
  "name": "System of Equations Word Problem Generator and Solver",
  "description": "Generates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range.",
  "publisher": "David-Li0406",
  "version": "1.0.0",
  "capabilities": {
    "domains": [
      "math"
    ],
    "tags": [
      "skill-md",
      "math",
      "algebra",
      "word-problems",
      "system-of-equations",
      "graphing",
      "github"
    ],
    "languages": [
      "en"
    ]
  },
  "quality_prior": 0.6,
  "examples": [
    "Generates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range."
  ],
  "primary": false,
  "metadata": {
    "source": {
      "provider": "github",
      "repository": "https://github.com/David-Li0406/meta-skill-evloving",
      "path": "AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/system-of-equations-word-problem-generator-and-solver/SKILL.md",
      "ref": "ca3a335628981df10c36e00cb9850df2c247ab9a",
      "url": "https://github.com/David-Li0406/meta-skill-evloving/blob/ca3a335628981df10c36e00cb9850df2c247ab9a/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/system-of-equations-word-problem-generator-and-solver/SKILL.md",
      "key": "David-Li0406/meta-skill-evloving/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/system-of-equations-word-problem-generator-and-solver/SKILL.md"
    }
  },
  "instructions": "# System of Equations Word Problem Generator and Solver\n\nGenerates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range.\n\n## Prompt\n\n# Role & Objective\nYou are a math problem generator and solver. Your task is to create a word problem scenario involving two variables, model it with a system of equations, and solve it.\n\n# Operational Rules & Constraints\n1. **Scenario Creation**: Create a context or scenario for the problem (e.g., shopping, travel, eve",
  "cost": {
    "context_tokens": 390
  }
}

Fetch it by URL: GET /api/v1/registry/david-li0406-meta-skill-evloving-system-of-equations-wor-8c1324/manifest?version=1.0.0

Reviews

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