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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 (7 * -9 > 9) and not not (6 * -10 + 6 * -6 > 9 * -5)) and (not (max(-6, -9, 8, 10) - min(-6, -9, 8, 10) <= 7) or (The capital of Belarus is Minsk.))) and not not (((3 * 8 <= 5) or (max(-5, 1, 3, 2) - min(-5, 1, 3, 2) <= 4)) and (not (The capital of Iraq is Baghdad.) and (max(7, 9, -5, -1) - min(7, 9, -5, -1) <= 2)))
(B) not not (not ((not not not (not (not ((not not (not (not not ((2 - (3 / -1) <= 1) and (max(8, 3, -8, 2) - min(8, 3, -8, 2) is greater than 2)) or not not not (8 * 3 + 5 * 4 is less than or equal to 3 * -7)) and (False)) or not not not (True)) or (The capital of Nepal is Kathmandu.)) and (False)) and (The capital of Armenia is Gyumri.)) and not not (The capital of Iraq is Beirut.)) or (The capital of Gambia is Libreville.)) and (The capital of Armenia is Gyumri.)) or not not not (max(-3, -9, 2, -4) - min(-3, -9, 2, -4) is greater than 1)
(C) not (not not (not not ((-5 - (5 / 8) > -5) or (-9 * -2 + 8 * 1 > 7 * 5)) or not not not (not not (3 - (-8 / 5) is less than or equal to 5) or not not not (max(8, -5, 10, -8) - min(8, -5, 10, -8) <= 10))) or not not not (not not (not not not (2 * -10 + -10 * -6 is greater than -5 * 3) and not not (-1 * -3 + 5 * -10 <= 10 * 8)) or not not not (not (9 - (-9 / -7) <= -1) and (-10 - (-3 / 9) is less than or equal to 7)))) or (not not (not not not (not (-3 * -3 + -4 * 5 is greater than 8 * -8) and (max(-2, -3, -10, 10) - min(-2, -3, -10, 10) <= 4)) and not not (not (9 * -2 is less than or equal to 10) or (The capital of Afghanistan is Kabul.))) or not not not (not not not (not (-3 * 6 + 9 * 1 <= 3 * 6) or (False)) and not not (not (4 * 9 <= 9) or (max(3, -2, -9, 8) - min(3, -2, -9, 8) <= 4))))
(D) not not not (not not (not not not ((not not not (not not not ((not not not (not not not (not (The capital of Jordan is Amman.) and (False)) and not not (-5 - (-2 / 4) > 7)) and not not (True)) or (2 * 7 <= 10)) and not not (3 * -7 + -7 * -2 > -4 * -4)) and not not (1 - (7 / -10) is greater than -4)) or (The capital of the Nigeria is Abuja.)) and not not (The capital of Malaysia is Putrajaya.)) or not not not (-5 - (1 / -5) > 2)) and not not (7 * -10 + -8 * -2 is greater than -7 * 10)
(E) not (not not (not (8 * 5 > 6) or (False)) or not not not (not (3 - (-10 / 6) <= -7) and (max(-7, 8, 9, 2) - min(-7, 8, 9, 2) <= 3))) and ((not not (max(-3, 7, -6, 2) - min(-3, 7, -6, 2) is greater than 1) or not not not (2 * -2 > -2)) and (not not (2 * -2 + -3 * 5 > -5 * 2) or not not not (9 * -5 > 7)))

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Source and history

task_id
b765e1ac-ea43-5ec6-b7e8-7d7c2791ec64
task_key
bbeh~5fboolean~5fexpressions--full--b765e1ac-ea43-5ec6-b7e8-7d7c2791ec64
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import