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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 (not (2 - (-9 / -7) <= -8) and (False)) or not not not (3 - (-7 / -8) is less than or equal to 6)) or (max(-10, -9, 10, 8) - min(-10, -9, 10, 8) <= 8)) and not not (The capital of Cameroon is Douala.)) and (The capital of Turkey is Ankara.)) and not not (4 * 2 + -3 * 3 is less than or equal to 10 * -6)) or not not not (The capital of Canada is Ottawa.)) or (The capital of Colombia is Bogota.)) and (The capital of Denmark is Aarhus.)
(B) not (((not not (not not not (not not not ((not not ((not not (5 * 1 + -4 * -8 is greater than 9 * -6) or not not not (4 * 2 + -4 * -1 > -6 * -9)) and (-9 - (-4 / -3) > 4)) or not not not (True)) or (The capital of Cameroon is Yaounde.)) and not not (True)) and not not (1 * 7 + -2 * 4 <= -1 * -10)) or not not not (7 * 6 + -2 * -2 is greater than -9 * 9)) and (False)) and (6 * -4 + 3 * 6 is greater than 8 * -2)) or (The capital of Gambia is Banjul.)
(C) not (((not not (-6 * 5 + -4 * 5 > 4 * 2) or not not not (False)) and (not (False) and (-5 * 1 + 4 * 8 is greater than 6 * -10))) or (not (not (-10 - (2 / 5) is less than or equal to 6) and (-2 * 6 + -4 * 6 > -10 * -3)) or (not not (5 - (-10 / -5) is greater than -6) or not not not (False)))) and (not not (not not not (not (7 - (-10 / -7) <= -9) or (3 * 3 > -5)) and not not ((True) and (7 - (-8 / -4) <= -10))) or not not not ((not (The capital of Belarus is Minsk.) and (7 * -9 + -2 * 3 > -6 * 5)) or (not (The capital of Colombia is Bogota.) or (The capital of Iran is Isfahan.))))
(D) not not not (((not (not (not (not not (not (not (not not (not (not (not not not (not (not not not (-5 - (-8 / -9) <= -8) and not not (max(7, -2, 4, 4) - min(7, -2, 4, 4) is greater than 7)) or (The capital of Turkey is Ankara.)) and not not (7 * -10 > -7)) and (7 * 7 > -1)) or (4 * 10 + 5 * -1 is less than or equal to 4 * -7)) or not not not (2 * 1 <= -1)) or (9 - (-2 / -4) <= -10)) and (-9 - (9 / 1) is less than or equal to -2)) or not not not (-8 * 8 + -8 * 2 <= -10 * -7)) and (3 * 2 > 1)) or (False)) and (True)) or (False)) and (max(-2, -2, 8, -1) - min(-2, -2, 8, -1) is greater than 8)) and not not (False)
(E) not not not ((not not (not not not (The capital of Turkey is Ankara.) and not not (7 * 7 > 3)) or not not not ((-8 * -7 + -3 * 9 is greater than 2 * -10) and (The capital of Iraq is Baghdad.))) or (not not (not not (The capital of Armenia is Yerevan.) or not not not (The capital of Belarus is Minsk.)) or not not not (not (4 * -7 > 6) or (-5 * -4 + 5 * 9 > -8 * -9)))) and not not (not (not ((False) or (False)) or (not (4 - (-2 / -2) <= -9) and (-8 - (5 / -1) is less than or equal to 10))) or (not not not (not not (5 - (3 / -8) is greater than -6) or not not not (7 * 2 > 8)) and not not ((10 * 1 + 2 * 8 is less than or equal to -7 * 5) and (True))))

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Source and history

task_id
bee3002b-2256-5ae0-a99d-4dfa92515e1c
task_key
bbeh~5fboolean~5fexpressions--full--bee3002b-2256-5ae0-a99d-4dfa92515e1c
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import