text: This trail sign is on the northside of the Rio Salado near the Central Avenue parking lot in Phoenix, Arizona.
  
  The trail sign says...
  
  ```   +-------------------------------+
  |  Central Avenue Gateway to:   |
  | 7th Street Bridge   0.5 miles |
  | 16th Street Bridge  1.4 miles |
  +-------------------------------+
  ```
  
  [side-bar] In the above trail sign, should 0.5 miles be 0.5 mile? And, should 1.4 miles be 1.4 mile?
  
  To help when it comes to doing BARS (Basic Arithmetic Road Signs), MathBabbler has memorized the following equation.
  
  ```   (1 + sqrt(5))/2 = Phi
  ```
  
  Let's do the math...
  
  ```   the numbers are:  7  0.5  16  1.4
  
  the Phi math is:  0.5 + sqrt(floor(7 - 1.4) / sqrt(16)) = Phi
  
  observe...
  Phi golden ratio = 1.61803399
  7 - 1.4 = 5.6
  floor(5.6) = 5
  sqrt(16) = 4
  sqrt(5/4) = sqrt(5)/sqrt(4) = sqrt(5)/2
  0.5 = 1/2
  1/2 + sqrt(5)/2 = (1 + sqrt(5))/2
  
  more math:  ceil(1.4 / 0.5) = sqrt(16 - 7)
  
  observe...
  1.4 / 0.5 = 2.8
  ceil(2.8) = 3
  16 - 7 = 9
  sqrt(9) = 3
  
  more math:  ceil(1.4 / 0.5) = 7 - sqrt(16)
  ```
  
  Creator: Gerald Thurman [gthurman@gmail.com]
  Created: 24 December 2007
explanation: The document describes a trail sign in Phoenix, Arizona, and includes a side-bar questioning the grammatical correctness of the distance labels. It also contains a section with mathematical equations and calculations involving the numbers from the trail sign, specifically relating to the golden ratio (Phi) and other arithmetic operations.
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: This trail sign is on the northside of the Rio Salado near the Central Avenue parking lot in Phoenix, Arizona.
  
  The trail sign says...
  
  ```   +-------------------------------+
  |  Central Avenue Gateway to:   |
  | 7th Street Bridge   0.5 miles |
  | 16th Street Bridge  1.4 miles |
  +-------------------------------+
  ```
  
  [side-bar] In the above trail sign, should 0.5 miles be 0.5 mile? And, should 1.4 miles be 1.4 mile?
  
  To help when it comes to doing BARS (Basic Arithmetic Road Signs), MathBabbler has memorized the following equation.
  
  ```   (1 + sqrt(5))/2 = Phi
  ```
  
  Let's do the math...
  
  ```   the numbers are:  7  0.5  16  1.4
  
  the Phi math is:  0.5 + sqrt(floor(7 - 1.4) / sqrt(16)) = Phi
  
  observe...
  Phi golden ratio = 1.61803399
  7 - 1.4 = 5.6
  floor(5.6) = 5
  sqrt(16) = 4
  sqrt(5/4) = sqrt(5)/sqrt(4) = sqrt(5)/2
  0.5 = 1/2
  1/2 + sqrt(5)/2 = (1 + sqrt(5))/2
  
  more math:  ceil(1.4 / 0.5) = sqrt(16 - 7)
  
  observe...
  1.4 / 0.5 = 2.8
  ceil(2.8) = 3
  16 - 7 = 9
  sqrt(9) = 3
  
  more math:  ceil(1.4 / 0.5) = 7 - sqrt(16)
  ```
  
  Creator: Gerald Thurman [gthurman@gmail.com]
  Created: 24 December 2007
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document describes a trail sign in Phoenix, Arizona, and includes a side-bar questioning the grammatical correctness of the distance labels. It also contains a section with mathematical equations and calculations involving the numbers from the trail sign, specifically relating to the golden ratio (Phi) and other arithmetic operations.
  
  Label: question-and-answer