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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 (False) or (-5 - (1 / -5) is greater than -7)) or (not (False) or (-5 * -10 + -5 * -6 is greater than -4 * 6))) or (not (not (False) or (False)) or (not not not (-3 - (-2 / 4) is greater than -6) and not not (The capital of India is Mumbai.)))) and (not (not (not (The capital of the Nigeria is Abuja.) or (-7 - (-4 / 7) > 4)) or (not (-6 - (-7 / -5) > -6) and (True))) and (not not ((-1 * 9 is less than or equal to -6) or (-4 * 10 + -1 * -7 <= 9 * 10)) or not not not (not not (6 * -2 is less than or equal to 4) or not not not (-5 * 9 + 6 * -3 <= -9 * 6))))
(B) ((not (not not not (not (not (not not not (not not (not (not (max(-3, 8, 5, -2) - min(-3, 8, 5, -2) <= 4) and (False)) or (max(-6, 8, 5, -1) - min(-6, 8, 5, -1) <= 9)) or not not not (-6 - (9 / -1) is less than or equal to 6)) and not not (The capital of Afghanistan is Kabul.)) or (1 - (5 / -2) > 4)) or (True)) and not not (-3 * -8 <= 1)) and (9 * -1 + -6 * 7 > 10 * 10)) or (The capital of Denmark is Aarhus.)) and (9 * 8 + 7 * 10 is less than or equal to 5 * 10)
(C) not ((not not (not not (not (not not (not (not not not (5 - (6 / 2) > 5) and not not (True)) or (3 * -7 + 3 * -2 <= -6 * 2)) or not not not (False)) and (-9 - (-2 / 3) > 6)) or not not not (max(8, -1, -7, -6) - min(8, -1, -7, -6) is greater than 1)) or not not not (max(9, -4, -3, -4) - min(9, -4, -3, -4) is greater than 3)) and (The capital of Turkey is Istanbul.)) and (2 * 3 + 10 * -9 > -7 * -8)
(D) not (not (not (not (The capital of Jordan is Amman.) or (max(7, 3, -2, 10) - min(7, 3, -2, 10) is greater than 7)) or (not not not (The capital of Colombia is Bogota.) and not not (The capital of Afghanistan is Kandahar.))) and (not (not not (-4 - (2 / -1) <= -6) or not not not (max(8, -6, -6, 9) - min(8, -6, -6, 9) is greater than 1)) or (not (The capital of Iraq is Beirut.) or (-6 * 1 > -6)))) and (not not not (not not not (not (The capital of Norway is Bergen.) and (The capital of Norway is Bergen.)) and not not (not not not (True) and not not (The capital of Denmark is Copenhagen.))) and not not (not (not (True) or (The capital of Canada is Ottawa.)) and ((False) or (max(9, 3, -7, 9) - min(9, 3, -7, 9) is greater than 6))))
(E) not ((not (not (not not (not not ((not (not (not ((False) or (1 * 6 + 6 * 1 <= -10 * -4)) and (-6 * 7 > 5)) or (-3 * -3 + 3 * -2 <= -5 * -7)) or (The capital of Colombia is Medellin.)) or (-3 * 6 > 6)) or not not not (max(-10, 9, -2, -7) - min(-10, 9, -2, -7) is greater than 3)) or not not not (-3 * -2 + -4 * -5 is greater than 1 * 5)) or (7 * -3 > -9)) or (max(2, -4, 3, -3) - min(2, -4, 3, -3) > 8)) and (False)) and (8 * -2 is less than or equal to -8)

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Source and history

task_id
cf72e931-4d21-5caf-9225-0c3644d4f4a2
task_key
bbeh~5fboolean~5fexpressions--full--cf72e931-4d21-5caf-9225-0c3644d4f4a2
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import