text: ### Tweedle Dum and Tweedle Dee
  
  Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...
  
  ### Lower Bound
  
  What would you get if you continued this sequence of fraction sums? 1/2 + 2/1 = 2/3 + 3/2 = 3/4 + 4/3 =
  
  ### Sum Equals Product
  
  The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 × 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?
  
  # Tyre Wear
  
  ##### Stage: 3 Short Challenge Level:
  
  A car with $5$ tyres (four road tyres and a spare) travelled $30000 \;\text{km}$. All $5$ tyres were used equally. How many kilometres' wear did each tyre receive?
  
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  If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
  
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  This problem is taken from the UKMT Mathematical Challenges.
  View the archive of all weekly problems grouped by curriculum topic
  
  View the previous week's solution
  View the current weekly problem
explanation: The document contains multiple math problems and questions. The first section is a story about two brothers dividing money, which does not contain a specific math question. The second section asks about a sequence of fraction sums. The third section asks for numbers whose sum equals their product. The fourth section is a problem about tyre wear and asks how many kilometers each tyre received.
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: ### Tweedle Dum and Tweedle Dee
  
  Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...
  
  ### Lower Bound
  
  What would you get if you continued this sequence of fraction sums? 1/2 + 2/1 = 2/3 + 3/2 = 3/4 + 4/3 =
  
  ### Sum Equals Product
  
  The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 × 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?
  
  # Tyre Wear
  
  ##### Stage: 3 Short Challenge Level:
  
  A car with $5$ tyres (four road tyres and a spare) travelled $30000 \;\text{km}$. All $5$ tyres were used equally. How many kilometres' wear did each tyre receive?
  
  Â
  
  If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
  
  Â
  
  Â
  
  This problem is taken from the UKMT Mathematical Challenges.
  View the archive of all weekly problems grouped by curriculum topic
  
  View the previous week's solution
  View the current weekly problem
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains multiple math problems and questions. The first section is a story about two brothers dividing money, which does not contain a specific math question. The second section asks about a sequence of fraction sums. The third section asks for numbers whose sum equals their product. The fourth section is a problem about tyre wear and asks how many kilometers each tyre received.
  
  Label: multiple-question