text: # Calculator search results
  
  Formula
  Calculate the value
  Use the synthetic division to find the quotient and the remainder
  $\left( a ^{ 2 } -3a \right) \div \dfrac{ a }{ 2 }$
  $2 a - 6$
  Arrange the rational expression
  $\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
   Calculate the multiplication expression 
  $\color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
   Quotient $: 2 a - 6 \\$ Remainder $: 0$
  Use the synthetic division to find the quotient and the remainder
  $\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
   Divide $a ^ { 2 } - 3 a$ by $\dfrac { a } { 2 }$ using the synthetic division 
   Quotient $: 2 a - 6 \\$ Remainder $: 0$
  Solution search results
explanation: The text extract contains a math problem and its solution. It starts with a formula and asks to calculate its value and to use synthetic division to find the quotient and the remainder. The solution is provided, showing the quotient and the remainder.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Calculator search results
  
  Formula
  Calculate the value
  Use the synthetic division to find the quotient and the remainder
  $\left( a ^{ 2 } -3a \right) \div \dfrac{ a }{ 2 }$
  $2 a - 6$
  Arrange the rational expression
  $\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
   Calculate the multiplication expression 
  $\color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
   Quotient $: 2 a - 6 \\$ Remainder $: 0$
  Use the synthetic division to find the quotient and the remainder
  $\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { a } { 2 } }$
   Divide $a ^ { 2 } - 3 a$ by $\dfrac { a } { 2 }$ using the synthetic division 
   Quotient $: 2 a - 6 \\$ Remainder $: 0$
  Solution search results
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math problem and its solution. It starts with a formula and asks to calculate its value and to use synthetic division to find the quotient and the remainder. The solution is provided, showing the quotient and the remainder.
  
  Label: question-and-answer