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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 (not ((not (True) and (-2 - (-2 / -7) <= -9)) and (False)) and (False)) and (-10 - (3 / -2) <= -9)) and not not (max(2, -9, 9, -10) - min(2, -9, 9, -10) <= 3)) and not not (1 * -6 is less than or equal to 3)) and not not (True)) or not not not (The capital of Cameroon is Yaounde.)) or not not not (The capital of Denmark is Aarhus.)) or (-10 * 3 + 1 * 6 > 2 * 1)) and (-4 * 5 > -5)) and (The capital of Cameroon is Douala.)
(B) not not not (not not (not (not not not (not (not not not (not (not (not (not not not ((not (not not ((-7 * -3 + -8 * -1 <= -6 * -8) and (-5 * 9 + -6 * 6 <= -1 * 1)) or not not not (True)) and (-1 * 7 + 9 * 2 > -8 * -8)) and (False)) and not not (6 * -7 + -2 * -7 <= 8 * 3)) or (-6 * 8 is less than or equal to -9)) or (The capital of Norway is Oslo.)) or (10 * -8 + -10 * 2 <= 6 * -7)) and not not (-9 - (-9 / 4) <= -7)) or (The capital of Jordan is Amman.)) and not not (1 - (-7 / -2) > 3)) and (1 - (4 / 4) is less than or equal to 1)) or not not not (-3 - (4 / 7) > 7)) and not not (-3 * -8 <= -1)
(C) ((not ((False) or (True)) and (not not (False) or not not not (2 * -9 is less than or equal to -8))) and (not (not (3 - (9 / -4) is greater than -8) and (False)) and (not (max(10, -3, -2, -1) - min(10, -3, -2, -1) is greater than 3) or (The capital of the Nigeria is Abuja.)))) or (not not not (not not not (not not (False) or not not not (-8 * -5 <= -6)) and not not ((max(-9, 4, -6, -10) - min(-9, 4, -6, -10) <= 2) and (False))) and not not (not ((max(1, 5, 1, -8) - min(1, 5, 1, -8) is greater than 8) and (True)) or ((-7 * -3 <= -8) and (-2 - (1 / 2) > 6))))
(D) not not not (not not not (not not (not not not (not (((not (not (not (not not (The capital of Germany is Berlin.) or not not not (-6 - (-5 / -5) is less than or equal to 9)) and (-10 * -1 + -7 * -2 is less than or equal to -8 * 8)) and (-8 - (-9 / 8) > 7)) or (-8 - (5 / -9) > -7)) or (-5 * 4 > 5)) or (False)) and (The capital of Belarus is Minsk.)) and not not (False)) or not not not (2 - (-1 / 1) > 3)) and not not (8 * -1 > 2)) and not not (6 * -3 + -9 * 2 is greater than 9 * -8)
(E) not (not not not ((The capital of Gambia is Libreville.) or (-9 * 4 > 10)) and not not ((True) and (-8 * -4 > 10))) and (not not ((4 * -1 is less than or equal to 2) and (-6 - (-6 / 8) is less than or equal to -5)) or not not not ((True) or (-3 * -7 > -8)))

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Source and history

task_id
24be959b-60c9-51e2-a4c6-e4860ec2db6d
task_key
bbeh~5fboolean~5fexpressions--full--24be959b-60c9-51e2-a4c6-e4860ec2db6d
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import