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BIG-Bench Extra Hard (BBEH) / From the following five expressions, only one evaluates to true. Which one is…

Problem

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input

From the following five expressions, only one evaluates to true. Which one is it?

(A) not (not ((not not ((not (not not ((not ((not not not (The capital of UAE is Dubai.) and not not (8 * 2 + -8 * -10 is less than or equal to 5 * 10)) or (max(-7, -9, 8, -6) - min(-7, -9, 8, -6) <= 6)) and (max(4, 5, 6, 5) - min(4, 5, 6, 5) <= 6)) and (The capital of UAE is Abu Dhabi.)) or not not not (-4 * 1 + 4 * 5 <= 10 * 10)) and (The capital of Germany is Berlin.)) or (True)) or not not not (7 * -6 > -4)) or (-8 - (-4 / 4) > -6)) or (max(7, -6, -3, 5) - min(7, -6, -3, 5) is greater than 9)) or (False)
(B) not (not ((9 - (-9 / -4) is greater than -5) and (-4 * 1 + -4 * 9 <= 1 * -9)) or (not not (The capital of Nepal is Kathmandu.) or not not not (The capital of Canada is Ottawa.))) and (not (not not (1 * 5 <= -7) or not not not (-4 * -9 <= 6)) or (not not not (max(4, 7, 3, -9) - min(4, 7, 3, -9) <= 5) and not not (True)))
(C) ((not (not not ((not not ((not (not (not not not (not (not not (False) or not not not (3 - (5 / -8) is greater than -7)) and (7 * -7 + -4 * -1 > 3 * 6)) and not not (10 * 9 + 3 * -6 is less than or equal to 6 * 7)) and (-7 - (7 / 7) is less than or equal to 4)) and (max(-6, -2, 10, 8) - min(-6, -2, 10, 8) <= 8)) or (False)) or not not not (The capital of Turkey is Ankara.)) or (-10 * 2 is less than or equal to -6)) or not not not (-9 * -9 <= -2)) and (-4 - (-3 / 5) is greater than -6)) or (-6 * 1 is less than or equal to -2)) or (8 - (-10 / 3) is greater than -8)
(D) not (not not (((not (not (((not (not not (not not not (not not not (not (not not (5 * 2 <= -5) or not not not (-3 * -5 <= -6)) and (False)) and not not (-5 * 2 + 3 * -10 > 8 * -3)) and not not (max(-3, 10, 3, -3) - min(-3, 10, 3, -3) <= 10)) or not not not (max(5, -7, -2, -5) - min(5, -7, -2, -5) <= 10)) and (True)) and (max(-10, -10, -1, 6) - min(-10, -10, -1, 6) is greater than 8)) or (max(10, -9, -1, 8) - min(10, -9, -1, 8) is greater than 9)) and (6 * 9 + -10 * 1 <= -10 * -10)) and (True)) or (7 - (10 / -3) <= -5)) or (The capital of India is New Delhi.)) or not not not (True)) or (4 * -8 > 6)
(E) not not not (not (not (not not not (((not (not (not not (not (not not (not not ((not (not (1 * 10 + -2 * 1 is greater than 8 * -10) or (9 - (-6 / -9) <= 1)) and (The capital of Canada is Ottawa.)) or (The capital of Cameroon is Douala.)) or not not not (False)) or not not not (max(5, -10, -10, 3) - min(5, -10, -10, 3) <= 3)) and (True)) or not not not (The capital of India is New Delhi.)) and (True)) and (The capital of Malaysia is Kuala Lumpur.)) and (7 * 4 <= -5)) and (The capital of Azerbaijan is Ganja.)) and not not (False)) and (True)) and (10 * -4 + -8 * 8 <= 3 * -9)) and not not (max(3, 10, 3, 1) - min(3, 10, 3, 1) > 9)

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Source and history

task_id
95e7c12e-42d3-551b-b859-0a9d5b7c81a3
task_key
bbeh~5fboolean~5fexpressions--full--95e7c12e-42d3-551b-b859-0a9d5b7c81a3
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import