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A medium difficulty HSC math problem on divisibility of a product with full step-by-step solutions.

A medium difficulty HSC math problem on divisibility of a shifted power expression with full step-by-step solutions.

A easy difficulty HSC math problem on divisibility of n squared minus one by three with full step-by-step solutions.

A medium difficulty HSC math problem on evenness equivalence for x and x squared with full step-by-step solutions.

A medium difficulty HSC math problem on exponential comparison of three four and five with full step-by-step solutions.