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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 (The capital of Cameroon is Douala.) and not not (2 * 7 <= -8)) and not not (-5 * 10 + 3 * 10 > -7 * 2)) or not not not (-7 - (-6 / -1) > 8)) and (-2 - (-9 / -1) > -3)) and (-5 * -3 + 8 * -1 > -2 * -4)) and not not (4 * -6 + 4 * -3 is greater than -9 * 9)) and (-10 - (-1 / 6) > 6)
(B) not not not (not not not (not not (True) or not not not (2 * -6 + 4 * 4 is greater than -9 * 8)) and not not (not not not (10 * -4 + -8 * 10 > -6 * 4) and not not (True))) and not not (not ((The capital of Gambia is Banjul.) and (7 * 3 <= 10)) and (not (-2 - (10 / 8) <= -10) and (1 * -10 + -9 * 5 > -1 * -2)))
(C) not not ((not (not not (-8 * -8 + -5 * 10 is greater than 2 * 1) or not not not (The capital of Germany is Munich.)) or (not not (-9 * 7 + -9 * -6 <= -5 * -6) or not not not (7 * -8 is less than or equal to -5))) and ((not (8 - (-7 / 2) is greater than -3) or (-7 - (-8 / -1) > 4)) and (not not (5 * 4 + -5 * -6 is less than or equal to -3 * -7) or not not not (-9 - (-4 / -1) > -9)))) or not not not ((not (not (3 * 5 + 5 * -6 is greater than 3 * -6) or (True)) or (not (The capital of Iraq is Baghdad.) or (-5 * -3 + 7 * -8 > 6 * 2))) or (not not not (not (-10 - (4 / 5) is less than or equal to -2) and (4 * -10 is less than or equal to -5)) and not not (not (The capital of Azerbaijan is Ganja.) and (max(-10, -1, -3, -9) - min(-10, -1, -3, -9) is greater than 3))))
(D) not (not not not (not not ((not (not (not not ((not not not (not (not not not (not (max(6, -6, -8, 5) - min(6, -6, -8, 5) <= 3) or (-1 - (-1 / 8) is less than or equal to 10)) and not not (3 - (1 / 5) is less than or equal to 7)) and (8 * -10 is less than or equal to 3)) and not not (True)) and (-6 - (6 / -1) <= -2)) or not not not (max(-3, 6, 4, -6) - min(-3, 6, 4, -6) <= 2)) or (The capital of Azerbaijan is Ganja.)) and (The capital of Cameroon is Douala.)) or (max(9, 2, -6, 3) - min(9, 2, -6, 3) is greater than 8)) or not not not (False)) and not not (1 * -5 is less than or equal to -4)) and (False)
(E) not not (not not (not (not not not (not (not not (not ((not ((4 * -3 + -2 * 4 > -9 * 2) and (False)) or (max(-2, 3, -5, 2) - min(-2, 3, -5, 2) is greater than 1)) or (max(-6, -2, -7, -3) - min(-6, -2, -7, -3) <= 5)) and (-5 * 4 is less than or equal to -8)) or not not not (True)) or (False)) and not not (max(1, -3, 5, 2) - min(1, -3, 5, 2) <= 6)) and (max(-9, -5, -9, -9) - min(-9, -5, -9, -9) <= 6)) or not not not (2 * 10 + 4 * 9 > 7 * 8)) or not not not (max(-1, -4, 3, -2) - min(-1, -4, 3, -2) is greater than 5)

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Source and history

task_id
558b8dfd-ef03-5cc1-8e1c-a22d26f714cd
task_key
bbeh~5fboolean~5fexpressions--full--558b8dfd-ef03-5cc1-8e1c-a22d26f714cd
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import