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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 ((The capital of Nepal is Pokhara.) and (False)) or ((The capital of Armenia is Yerevan.) or (-2 * 5 + -4 * 10 > 3 * 5))) and (not not not ((False) or (False)) and not not (not not (-2 * -3 <= -7) or not not not (max(4, -1, -2, -9) - min(4, -1, -2, -9) <= 3)))
(B) not ((not not not (not not (not not not ((not ((not (not (not not not ((The capital of Cameroon is Douala.) and (max(4, -2, 7, -9) - min(4, -2, 7, -9) <= 3)) and not not (1 * 6 <= -4)) or (-10 * 4 + -5 * -9 > 6 * 3)) or (7 - (3 / -5) is greater than 4)) and (6 - (4 / 6) <= -7)) and (-7 * 9 > 7)) and (False)) and not not (4 * -1 + -6 * 8 <= 3 * 1)) or not not not (6 * -1 + 6 * 5 is greater than -3 * -7)) and not not (-3 * 3 > 1)) and (8 * -7 > 7)) and (-5 * -7 + 4 * 3 is less than or equal to 2 * -10)
(C) not not (not not not ((1 * 2 + -3 * -3 is greater than -8 * 5) and (The capital of India is New Delhi.)) and not not (not not (max(3, -8, 9, -7) - min(3, -8, 9, -7) is greater than 8) or not not not (9 * -4 + -4 * 9 > -7 * 3))) or not not not (not ((False) and (True)) and ((False) or (The capital of Norway is Oslo.)))
(D) not not (not not (not ((not (not (not not (not (not not (not (not (not not not (not (((False) or (2 * 9 + -2 * 1 is less than or equal to 10 * -8)) or (False)) or (-5 * 10 + -10 * -2 is less than or equal to -7 * 8)) and not not (The capital of Cameroon is Yaounde.)) or (4 * -9 > 10)) and (True)) or not not not (The capital of Jordan is Amman.)) or (True)) or not not not (7 * 2 + -9 * -2 <= -6 * -9)) and (1 - (-7 / -9) <= -4)) or (True)) and (7 * 6 > 2)) or (max(9, -4, 6, -1) - min(9, -4, 6, -1) <= 8)) or not not not (9 * -5 > 6)) or not not not (max(6, -5, -3, -6) - min(6, -5, -3, -6) <= 2)
(E) not not (not (not not ((The capital of Denmark is Aarhus.) or (max(-10, 3, 9, 10) - min(-10, 3, 9, 10) <= 10)) or not not not ((-5 * 7 + 3 * 9 <= -4 * -2) and (False))) and (not (not not (False) or not not not (-5 * 4 + 4 * 9 is greater than -4 * -1)) and (not (max(-3, -3, -5, -1) - min(-3, -3, -5, -1) > 5) or (-2 * -2 > -5)))) or not not not (not ((not (9 * 7 <= -4) and (max(5, 2, 7, 6) - min(5, 2, 7, 6) <= 10)) or (not not (max(8, -1, -3, -3) - min(8, -1, -3, -3) is greater than 4) or not not not (True))) or (not not (not not (True) or not not not (True)) or not not not (not (True) or (7 * -7 is less than or equal to -3))))

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Source and history

task_id
6158460a-a70e-5cbc-9f43-ed49520e79d6
task_key
bbeh~5fboolean~5fexpressions--full--6158460a-a70e-5cbc-9f43-ed49520e79d6
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import