744 prompts matching "Structured question: cubic equation from three given roots"
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: What a binary operation actually is
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Practice: A binary operation set out as a table
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Learn: What closure means for a binary operation
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
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Quiz: Reading commutativity off a symmetrical operation table
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Practice: An operation that is not commutative, with a counter-example
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Final Revision: Why distributivity links two operations rather than one
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Learn: What an identity element is
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Final Revision: Identity and inverse together, and what they give the set
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Learn: Reading index notation, the base and the exponent
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Quiz: The law for dividing powers of the same base
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Practice: The law for a power raised to another power
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