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• Advanced Logic in LearningLemur

This page provides fully worked examples of advanced logic in LearningLemur. Each example demonstrates how to control random generation, enforce mathematical constraints, and guarantee specific solution properties. You can copy these patterns directly or adapt them to your own quizzes.

• How to generate two random irreducible fractions
• How to generate a quadratic equation with rational solutions
• How to generate two integers with a predefined greatest common divisor
• How to generate a division with no remainder (exact division)
• How to generate a right-angled triangle with integer sides (Pythagorean triple)
• How to generate a 3×3 linear system with a unique integer solution
• How to generate linearly independent or dependent 3D vectors