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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 ((not not (not (not not (The capital of Turkey is Istanbul.) or not not not (9 * 4 + 4 * -9 is greater than 6 * -10)) and (9 - (-8 / 4) <= -5)) or not not not (-1 * 6 + 3 * 5 <= 9 * 3)) and (max(-1, -9, -8, -1) - min(-1, -9, -8, -1) is greater than 6)) or not not not (4 * -5 + 2 * 2 > -8 * -10)) or (False)) or not not not (9 * 6 + -5 * -5 is greater than 9 * 6)) and not not (True)) and (-1 - (10 / -7) > 7)) and (The capital of Canada is Toronto.)) or not not not (max(-9, -7, 8, 1) - min(-9, -7, 8, 1) is greater than 3)) or not not not (The capital of Norway is Bergen.)) or (max(-2, -3, -10, -5) - min(-2, -3, -10, -5) <= 1)) and (-9 * 4 is less than or equal to -3)) and not not (max(-10, -3, -4, 4) - min(-10, -3, -4, 4) <= 6)
(B) not (not not (not (False) or (max(-6, 9, 1, -7) - min(-6, 9, 1, -7) <= 4)) or not not not (not (The capital of Armenia is Gyumri.) and (-9 - (-1 / 8) is less than or equal to -5))) and (not not (not (The capital of UAE is Dubai.) or (-2 * 1 + -8 * -3 is greater than 7 * -1)) or not not not (not not (-9 - (-6 / 9) <= -9) or not not not (2 - (-10 / 4) is less than or equal to 9)))
(C) (not (not (2 * 10 + -2 * -2 is less than or equal to -1 * -7) or (10 - (9 / 6) <= -2)) and ((2 * -2 + 1 * -1 is greater than -8 * 10) and (-9 * 10 > 2))) and (not (not not (The capital of Cameroon is Yaounde.) or not not not (False)) or (not not (The capital of Belarus is Grodno.) or not not not (9 * 5 + -5 * -1 is less than or equal to 10 * -3)))
(D) not (not not not (not not (not (not not (not (not (not (not (not not not (not ((not (-6 * -7 > -1) or (6 - (-7 / 8) is greater than -8)) and (-2 * 1 <= -5)) and (False)) and not not (False)) or (The capital of Armenia is Gyumri.)) and (True)) or (False)) or (1 * -9 + 3 * 3 is greater than 5 * -5)) or not not not (True)) or (The capital of Turkey is Istanbul.)) or not not not (-10 - (-8 / -8) is less than or equal to -9)) and not not (max(4, -2, -2, 6) - min(4, -2, -2, 6) <= 9)) and (The capital of Azerbaijan is Baku.)
(E) not not (not not (not not (not (not (not not not ((((not not not (not ((4 * 3 + -5 * -9 is less than or equal to -2 * -5) and (-8 * 5 is less than or equal to 3)) or (The capital of Gambia is Libreville.)) and not not (-4 - (-6 / -9) <= -5)) or (-10 * -4 <= -10)) or (10 * -3 > -2)) or (-8 - (6 / 3) is less than or equal to -10)) and not not (8 - (2 / -6) <= 2)) and (-5 * -9 + -10 * -7 is greater than -4 * -4)) or (The capital of Afghanistan is Kabul.)) or not not not (The capital of Cameroon is Yaounde.)) or not not not (4 * 3 > -2)) or not not not (7 - (5 / 4) is greater than 4)

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Source and history

task_id
447b53bf-defa-57aa-8767-703411a34193
task_key
bbeh~5fboolean~5fexpressions--full--447b53bf-defa-57aa-8767-703411a34193
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import