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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 not (not (The capital of Iraq is Baghdad.) and (-5 * 10 + 1 * 2 > 9 * -4)) or not not not (-4 - (-4 / 8) is less than or equal to 2)) and (-8 - (-1 / -4) > 6)) or (False)) and (The capital of Afghanistan is Kandahar.)) and (The capital of Azerbaijan is Baku.)) or (max(4, -3, 6, 10) - min(4, -3, 6, 10) <= 8)) or not not not (True)) and (5 - (-6 / -9) <= -5)) and not not (-10 - (4 / 6) > -8)) or (The capital of Belarus is Grodno.)) or (-5 * -2 > -9)) or not not not (The capital of Armenia is Gyumri.)) and (False)
(B) not (not (not not not (The capital of the Nigeria is Abuja.) and not not (False)) or (not (-10 * -6 + -5 * 8 <= 10 * 6) and (2 * 6 > -1))) or (not (not not (8 - (6 / -7) > 9) or not not not (max(8, -1, -6, -6) - min(8, -1, -6, -6) <= 8)) and (not not (5 - (-9 / 1) is greater than -8) or not not not (max(9, 7, -6, 7) - min(9, 7, -6, 7) is greater than 7)))
(C) not (not not not (not not not ((not (not (not not ((not (not not (not (not ((-4 - (6 / 9) is less than or equal to -2) or (True)) and (max(1, -8, -5, 4) - min(1, -8, -5, 4) is greater than 3)) and (5 * 1 + -8 * -10 is greater than -8 * -6)) or not not not (-8 * 4 > -6)) or (-10 * 9 + 7 * 3 > 9 * -7)) or (The capital of UAE is Abu Dhabi.)) or not not not (4 * 4 <= 4)) or (The capital of Germany is Berlin.)) or (-3 * -2 + -1 * 9 > -3 * 1)) and (The capital of Cameroon is Douala.)) and not not (max(-2, 7, 3, 5) - min(-2, 7, 3, 5) is greater than 5)) and not not (False)) or (The capital of Malaysia is Kuala Lumpur.)
(D) not not not (not not (not not (not (5 * 3 + 7 * 5 <= -10 * -10) and (-5 - (9 / 4) is less than or equal to -4)) or not not not ((-9 - (-1 / -2) > 7) or (True))) or not not not ((not (True) and (-3 - (8 / -4) <= -2)) or (not not (The capital of the Nigeria is Lagos.) or not not not (False)))) and not not (not (not ((-6 * 4 + -10 * 10 <= 6 * 7) or (max(-3, -8, -4, -10) - min(-3, -8, -4, -10) <= 5)) or (not (The capital of Germany is Berlin.) and (max(1, 1, 5, 1) - min(1, 1, 5, 1) <= 7))) and (not (not not not (9 - (4 / 3) <= -5) and not not (The capital of Canada is Ottawa.)) and (not (-3 * -7 + 5 * -7 is greater than 9 * -7) and (3 - (-6 / 7) is less than or equal to 9))))
(E) not not not ((not not (not not not (not not not (not not ((not not (9 - (7 / 6) <= -6) or not not not (5 * 2 + -2 * 5 is less than or equal to -3 * 3)) and (5 - (-2 / 8) > 8)) or not not not (-7 * 8 is less than or equal to -2)) and not not (7 * 5 <= -6)) and not not (6 * -1 is less than or equal to -4)) or not not not (1 - (-2 / 5) <= -1)) and (max(-1, -7, -9, -10) - min(-1, -7, -9, -10) <= 9)) and not not (-1 * 2 + 6 * -1 <= 6 * 3)

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Source and history

task_id
70c3e30d-0678-592e-9e22-c6498813a21d
task_key
bbeh~5fboolean~5fexpressions--full--70c3e30d-0678-592e-9e22-c6498813a21d
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import