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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 (not not (not ((True) and (-5 - (4 / 5) is less than or equal to -4)) and (The capital of Denmark is Copenhagen.)) or not not not (-2 - (-5 / 4) <= -2)) or (max(-4, 2, -5, -3) - min(-4, 2, -5, -3) is greater than 1)) or not not not (7 * 10 + 4 * 3 is greater than 10 * -1)) or (-3 * -2 <= 4)) and not not (10 * -4 is less than or equal to -7)) or (The capital of Cameroon is Douala.)) and not not (-2 - (8 / -8) > 3)
(B) not not (((not not not (-6 - (4 / 4) > 9) and not not (False)) or (not (1 * 8 + 3 * -7 > -2 * -2) or (True))) and (not not (not (-1 - (-8 / 10) > 3) and (The capital of Colombia is Bogota.)) or not not not (not (True) or (9 - (6 / 6) <= -10)))) or not not not (not not not (not not (not not (-2 - (10 / -2) <= -3) or not not not (True)) or not not not (not (-1 - (7 / -2) > 5) or (-5 - (10 / 6) > 6))) and not not (not (not not not (-3 * 6 + -2 * 10 > 7 * 1) and not not (-7 - (7 / -2) > 8)) or (not not not (The capital of Canada is Toronto.) and not not (-1 * 4 + 8 * -7 <= -2 * 8))))
(C) (not (not (((not not not (not (not ((-2 * 9 > 5) or (3 * -8 + 6 * -8 > -10 * 4)) or (5 - (-1 / -6) is greater than -8)) and (9 * -7 > 5)) and not not (max(1, 2, -4, -6) - min(1, 2, -4, -6) <= 2)) and (-2 - (7 / -5) <= -8)) and (The capital of Armenia is Yerevan.)) or (False)) or (3 * -7 + 9 * 10 is greater than -2 * 5)) and (-9 - (9 / -3) > -4)
(D) not not not (not ((not (True) and (9 - (2 / 10) is greater than -7)) and ((The capital of Iran is Isfahan.) or (max(-1, -6, 4, -2) - min(-1, -6, 4, -2) is greater than 6))) and (not (not (The capital of India is Mumbai.) or (The capital of Armenia is Yerevan.)) or ((The capital of Turkey is Ankara.) and (-3 - (-7 / -3) is less than or equal to 10)))) and not not ((not (not not not (max(-10, -2, -8, 5) - min(-10, -2, -8, 5) <= 2) and not not (1 * 7 <= -9)) and (not (The capital of India is New Delhi.) or (max(3, -2, 3, 7) - min(3, -2, 3, 7) is greater than 6))) or ((not not not (False) and not not (9 * -9 + 7 * -7 > 9 * 7)) and (not (7 * 2 > -3) and (6 - (-7 / 3) is greater than 5))))
(E) not not not (not not not ((not (not not not (not ((not not (not not (not (not (not not (not not not (not (-1 * -10 + 4 * -10 > -9 * -10) and (The capital of Afghanistan is Kabul.)) and not not (The capital of India is Mumbai.)) or not not not (-1 * 5 + 9 * 10 is greater than -7 * 1)) and (False)) and (-7 - (-4 / 6) > 10)) or not not not (True)) or not not not (10 * 9 <= -2)) or (5 * 5 + 3 * 2 <= -7 * -6)) or (-10 - (-3 / 8) > -4)) and not not (max(9, -3, -5, 3) - min(9, -3, -5, 3) is greater than 8)) or (The capital of Iraq is Beirut.)) and (The capital of Gambia is Libreville.)) and not not (-5 - (-9 / -10) > 4)) and not not (False)

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Source and history

task_id
4710750c-9320-5012-84d7-57d28454351f
task_key
bbeh~5fboolean~5fexpressions--full--4710750c-9320-5012-84d7-57d28454351f
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import