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

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Source and history

task_id
37ddb98c-e980-5c74-a002-d00d1dabf3dc
task_key
bbeh~5fboolean~5fexpressions--full--37ddb98c-e980-5c74-a002-d00d1dabf3dc
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import