text: # Calculator search results
  
  Formula
  Calculate the value
  $\sqrt{ 5 } \left( 2-3 \sqrt{ 5 } \right) - \dfrac{ 2a+3 \sqrt{ 5 } }{ \sqrt{ 5 } }$
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + 15 } { 5 }$
  Simplify the expression
  $\sqrt{ \color{#FF6800}{ 5 } } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Multiply each term in parentheses by $\sqrt{ 5 }$
  $\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } + \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } + \sqrt{ 5 } \times \left ( - 3 \sqrt{ 5 } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Simplify the expression 
  $\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } + \sqrt{ 5 } \times \left ( - 3 \sqrt{ 5 } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $2 \sqrt{ 5 } + \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Get rid of unnecessary parentheses 
  $2 \sqrt{ 5 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $2 \sqrt{ 5 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Simplify the expression 
  $2 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $2 \sqrt{ 5 } - 15 - \color{#FF6800}{ \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } } }$
   Calculate the expression 
  $2 \sqrt{ 5 } - 15 - \color{#FF6800}{ \dfrac { \left ( 2 a + 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 } }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
   Multiply each term in parentheses by $\sqrt{ 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \sqrt{ \color{#FF6800}{ 5 } } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
   Get rid of unnecessary parentheses 
  $2 \sqrt{ 5 } - 15 - \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ a } \sqrt{ \color{#FF6800}{ 5 } } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ a } \sqrt{ \color{#FF6800}{ 5 } } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
   Simplify the expression 
  $2 \sqrt{ 5 } - 15 - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
   Get rid of unnecessary parentheses 
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
   Simplify the expression 
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \color{#FF6800}{ 15 } } { 5 }$
  Solution search results
explanation: The provided text is a step-by-step solution to a mathematical expression. It shows the simplification process of the given formula, but it does not contain a specific question or a question-and-answer format.
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
  $\sqrt{ 5 } \left( 2-3 \sqrt{ 5 } \right) - \dfrac{ 2a+3 \sqrt{ 5 } }{ \sqrt{ 5 } }$
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + 15 } { 5 }$
  Simplify the expression
  $\sqrt{ \color{#FF6800}{ 5 } } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Multiply each term in parentheses by $\sqrt{ 5 }$
  $\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } + \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } + \sqrt{ 5 } \times \left ( - 3 \sqrt{ 5 } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Simplify the expression 
  $\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } + \sqrt{ 5 } \times \left ( - 3 \sqrt{ 5 } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $2 \sqrt{ 5 } + \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Get rid of unnecessary parentheses 
  $2 \sqrt{ 5 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $2 \sqrt{ 5 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
   Simplify the expression 
  $2 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } - \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } }$
  $2 \sqrt{ 5 } - 15 - \color{#FF6800}{ \dfrac { 2 a + 3 \sqrt{ 5 } } { \sqrt{ 5 } } }$
   Calculate the expression 
  $2 \sqrt{ 5 } - 15 - \color{#FF6800}{ \dfrac { \left ( 2 a + 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 } }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
   Multiply each term in parentheses by $\sqrt{ 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \sqrt{ \color{#FF6800}{ 5 } } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
   Get rid of unnecessary parentheses 
  $2 \sqrt{ 5 } - 15 - \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ a } \sqrt{ \color{#FF6800}{ 5 } } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ a } \sqrt{ \color{#FF6800}{ 5 } } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
   Simplify the expression 
  $2 \sqrt{ 5 } - 15 - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } + \left ( 3 \sqrt{ 5 } \right ) \sqrt{ 5 } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
   Get rid of unnecessary parentheses 
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
   Simplify the expression 
  $2 \sqrt{ 5 } - 15 - \dfrac { 2 \sqrt{ 5 } a + \color{#FF6800}{ 15 } } { 5 }$
  Solution search results
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a step-by-step solution to a mathematical expression. It shows the simplification process of the given formula, but it does not contain a specific question or a question-and-answer format.
  
  Label: no-question