1,331 prompts matching "Structured question: find f^-1(x) and verify it"
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Final Revision: The power set, and how many subsets a set of n elements has
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Show All Working: Solving an equation written in terms of a binary operation
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Quiz: Multiplying two surds and simplifying the result
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WAEC Prep: Comparing the sizes of two surds without a calculator
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Learn: The multiplication and division laws of indices used together
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Quiz: Solving an index equation by writing both sides to the same base
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Spot My Mistake: The power law of logarithms
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WAEC Prep: The change of base formula for logarithms
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Common Mistakes: Solving an exponential equation using logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Practice: The condition for a quadratic equation to have equal roots
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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