\d^3 = 343\
\t^3 = 125\
\b^3 = -1\
\p^3 = -1,331\

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{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Solving Cubic Equations", "Cube Roots" ], "current_concepts": [ "Solving Cubic Equations", "Cube Roots" ] } ## Solve for d $$ \begin{aligned} d^3 &= 343 \ d &= \sqrt[3]{343} \ d &= 7 \end{aligned} $$ ## Solve for t $$ \begin{aligned} t^3 &= 125 \ t &= \sqrt[3]{125} \ t &= 5 \end{aligned} $$ ## Solve for b and p $$ \begin{aligned} b^3 &= -1 \implies b = \sqrt[3]{-1} = -1 \ p^3 &= -1,331 \implies p = \sqrt[3]{-1,331} = -11 \end{aligned} $$ ## Question 1 $d = 7$ ## Question 2 $t = 5$ ## Question 3 $b = -1$ ## Question 4 $p = -11$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Solving Cubic Equations" ] }

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