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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 not (max(5, -1, 10, -5) - min(5, -1, 10, -5) is greater than 6) and not not (max(-2, -9, 10, -2) - min(-2, -9, 10, -2) is greater than 10)) and (-6 - (-8 / -10) > -6)) and not not (6 * 8 > 3)) or not not not (4 - (-4 / 5) is less than or equal to 10)) and not not (-9 - (9 / -1) is less than or equal to 2)) and not not (-5 * 8 + 4 * -10 <= -5 * 4)) or (The capital of Canada is Ottawa.)) or (3 * -4 > 10)) and (True)) and (9 * 9 + -8 * 10 > -9 * -4)) and (-5 * -7 + 3 * 2 > -8 * -8)) or (The capital of Iran is Tehran.)) and (-10 * -1 + -2 * 10 is greater than -8 * 7)) and not not (-8 - (-8 / -10) > 9)
(B) not not not (not (not not (False) or not not not (-2 * 3 is less than or equal to -2)) or ((4 - (2 / 3) is greater than -9) and (True))) and not not (not (not (The capital of Iran is Tehran.) and (The capital of Canada is Toronto.)) and (not not not (max(-1, -4, 9, -9) - min(-1, -4, 9, -9) is greater than 2) and not not (max(8, -1, 9, -3) - min(8, -1, 9, -3) is greater than 3)))
(C) not (not not (not (True) and (-10 * -9 + 1 * -3 is greater than -9 * 8)) or not not not (not not (9 - (3 / -10) is greater than -7) or not not not (-7 * -3 + 2 * -7 is less than or equal to -10 * 10))) or (not not not (not (-7 * 6 > 4) and (max(-9, -9, 8, -9) - min(-9, -9, 8, -9) is greater than 3)) and not not (not (The capital of Iraq is Beirut.) or (True)))
(D) not not not (not not (not (not ((((not ((not not ((not not not (not (not (-5 - (-4 / 3) is less than or equal to 6) and (-10 - (-3 / -4) is less than or equal to -2)) and (5 - (5 / 3) is greater than -4)) and not not (7 * 5 + 5 * -8 is greater than -6 * 1)) and (False)) or not not not (False)) and (10 * 8 <= -7)) or (The capital of Denmark is Aarhus.)) and (The capital of Azerbaijan is Baku.)) and (3 * -1 > -5)) or (The capital of UAE is Abu Dhabi.)) and (False)) and (3 - (-8 / -4) <= -7)) or not not not (8 * -5 is less than or equal to 1)) and not not (max(-8, -9, 10, 7) - min(-8, -9, 10, 7) <= 6)
(E) not not not (not not not (not not not (not not (not (not (not not not ((The capital of Jordan is Beirut.) or (-9 - (-6 / -6) > -6)) and not not (6 - (7 / -2) <= 5)) and (-8 * -2 + -4 * 10 <= -9 * -3)) and (9 - (5 / -3) is greater than 2)) or not not not (True)) and not not (-10 * -8 + -10 * -9 is less than or equal to 9 * -5)) and not not (True)) and not not (7 * -3 is less than or equal to -3)

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Source and history

task_id
31f41756-ded7-5184-86bb-117390b1d376
task_key
bbeh~5fboolean~5fexpressions--full--31f41756-ded7-5184-86bb-117390b1d376
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import