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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 (The capital of Gambia is Banjul.) or not not not (10 * -6 + 8 * -2 > -5 * -10)) and (max(-4, -6, 1, 8) - min(-4, -6, 1, 8) <= 10)) or (-2 * 5 + -10 * -5 is less than or equal to 2 * 10)) or (False)) or (The capital of Nepal is Pokhara.)) and (5 * 1 + -10 * 7 > 2 * -6)) or not not not (The capital of Gambia is Libreville.)) or not not not (False)) or (True)) and not not (True)) or not not not (False)) and (-10 * 8 + 9 * -10 <= 9 * -10)) and not not (-1 * 7 + -1 * -7 > -10 * -9)) and not not (max(-7, -1, 3, -6) - min(-7, -1, 3, -6) <= 3)) and (-10 - (-7 / 1) > 4)
(B) not (not ((not (not not (not (not (not (not not not (not not (not ((((The capital of Canada is Toronto.) or (True)) and (True)) and (-8 * 3 > -4)) and (-1 - (-4 / 3) > 1)) or not not not (False)) and not not (The capital of Iran is Tehran.)) or (1 * 4 + -5 * -1 is less than or equal to -6 * 2)) or (8 - (8 / -4) is greater than -4)) and (False)) or not not not (7 - (7 / 2) <= 2)) and (-5 * 1 + -9 * 7 <= -8 * 2)) or (8 * 7 + 5 * -2 is greater than -3 * 4)) and (-1 - (10 / -6) <= -4)) or (-10 * -3 + 5 * 4 is greater than 8 * -2)
(C) not not not (not not not ((not (not (not not (not not (The capital of Afghanistan is Kabul.) or not not not (3 - (-4 / 8) is greater than 1)) or not not not (-3 * -10 + -3 * -7 is greater than -4 * 10)) or (max(-10, 5, -6, 10) - min(-10, 5, -6, 10) is greater than 5)) or (max(-3, 5, 3, 8) - min(-3, 5, 3, 8) is greater than 3)) or (9 * -6 is less than or equal to -6)) and not not (8 * 4 + -10 * 10 > 10 * -6)) and not not (4 * -5 > 6)
(D) not (not (not not not (not not (False) or not not not (The capital of Nepal is Pokhara.)) and not not (not not (-4 * -4 + -4 * 8 > 6 * 6) or not not not (10 * 6 <= 9))) and (not not (not (The capital of Malaysia is Kuala Lumpur.) and (3 * 3 + 10 * -5 <= -10 * 2)) or not not not ((max(-2, 1, 5, -1) - min(-2, 1, 5, -1) <= 2) or (-10 * -7 <= 3)))) and (not not not ((not (10 * 5 > 1) and (The capital of Turkey is Istanbul.)) and (not not not (max(9, 4, 3, -5) - min(9, 4, 3, -5) is greater than 10) and not not (-1 * -9 + -10 * -1 is greater than 2 * 4))) and not not (not not (not (5 - (3 / -9) > 7) and (-2 * 1 > -6)) or not not not ((False) or (9 - (6 / 10) is greater than 5))))
(E) not (not not not ((not ((not (not ((The capital of the Nigeria is Abuja.) or (3 - (9 / 10) is greater than -1)) and (True)) or (-1 * 6 + 5 * 2 > -2 * -8)) or (-7 * 6 > -6)) or (-8 - (3 / -3) > -5)) or (max(-2, -6, 2, 10) - min(-2, -6, 2, 10) <= 4)) and not not (-9 * -4 + -6 * -8 is greater than -4 * -6)) and (False)

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Source and history

task_id
25274214-a6a5-5355-9fbd-cf20a7e587e1
task_key
bbeh~5fboolean~5fexpressions--full--25274214-a6a5-5355-9fbd-cf20a7e587e1
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import