benchmarks.wiki / Public workspace
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Omni-MATH / Suppose that PQRSTUVW is a regular octagon. There are 70 ways in which four of its sides can be chosen at random. If four of its sides are chosen at random and each of these sides …
Problem
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problem
Suppose that is a regular octagon. There are 70 ways in which four of its sides can be chosen at random. If four of its sides are chosen at random and each of these sides is extended infinitely in both directions, what is the probability that they will meet to form a quadrilateral that contains the octagon?
Plain-text mathematical notation (without MathML)
Suppose that PQRSTUVW is a regular octagon. There are 70 ways in which four of its sides can be chosen at random. If four of its sides are chosen at random and each of these sides is extended infinitely in both directions, what is the probability that they will meet to form a quadrilateral that contains the octagon?
Original LaTeX notation
Suppose that $PQRS TUVW$ is a regular octagon. There are 70 ways in which four of its sides can be chosen at random. If four of its sides are chosen at random and each of these sides is extended infinitely in both directions, what is the probability that they will meet to form a quadrilateral that contains the octagon?
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Source and history
- task_id
dda63627-3704-5798-9cb7-7f20733659ba- task_key
test--dda63627-3704-5798-9cb7-7f20733659ba- task_revision_id
- 1
- config / split
- / test
initial import