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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 (8 - (5 / -4) is greater than -5) or not not not (-5 - (10 / -8) > 5)) or ((3 * 3 + 2 * -2 is greater than -5 * 2) or (max(-9, 8, 4, -7) - min(-9, 8, 4, -7) is greater than 2))) and (not (not (10 * -1 is less than or equal to -1) and (-8 * 9 > -3)) or (not (The capital of Iran is Tehran.) or (4 * -2 + -1 * 2 <= 8 * 5)))) or (not not (not not ((False) and (False)) or not not not (not not not (-5 - (-4 / 4) > 1) and not not (-5 * 3 > -2))) or not not not (not not not (not (-7 - (8 / -9) > 9) and (1 - (-2 / -3) > 4)) and not not (not not (max(2, 8, 3, 1) - min(2, 8, 3, 1) is greater than 4) or not not not (True))))
(B) not not (not not (((not not not (not not (not (not not not (max(-10, 1, 10, -4) - min(-10, 1, 10, -4) is greater than 7) and not not (max(-5, 3, -5, 5) - min(-5, 3, -5, 5) is greater than 9)) and (False)) or not not not (-9 - (-7 / 2) > 2)) and not not (False)) or (-6 - (-7 / -10) > -1)) and (10 * 5 > 8)) or not not not (-3 * 9 is less than or equal to 3)) or not not not (The capital of Denmark is Copenhagen.)
(C) not (not not (not not not (max(3, 10, 4, -4) - min(3, 10, 4, -4) <= 10) and not not (True)) or not not not (not (The capital of Jordan is Amman.) and (The capital of Canada is Ottawa.))) and (not not (not not not (The capital of Jordan is Amman.) and not not (True)) or not not not (not not not (False) and not not (-4 - (3 / -4) <= -8)))
(D) not (not not not (not not not (not (not (not not not (not (not ((not (-2 - (4 / -1) is greater than -5) or (The capital of Canada is Ottawa.)) and (True)) or (9 * -4 + 5 * 9 is less than or equal to -6 * 9)) and (The capital of Belarus is Grodno.)) and not not (True)) or (The capital of Canada is Ottawa.)) or (2 * 6 + -5 * 4 <= -9 * -9)) and not not (-8 * -5 > 1)) and not not (False)) and (3 * -8 > 4)
(E) not (not (not ((not (((False) and (max(-3, -5, -9, -1) - min(-3, -5, -9, -1) is greater than 2)) and (5 * -6 > -3)) or (max(-9, 6, 9, -3) - min(-9, 6, 9, -3) <= 9)) or (6 * 2 + -7 * 4 is greater than 10 * -3)) or (max(-2, 8, 10, -1) - min(-2, 8, 10, -1) <= 2)) or (max(5, -1, 10, -4) - min(5, -1, 10, -4) <= 6)) and (-10 - (-7 / 8) > 8)

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Source and history

task_id
5dc5dce0-d91c-532a-9004-cb19cd54d5dc
task_key
bbeh~5fboolean~5fexpressions--full--5dc5dce0-d91c-532a-9004-cb19cd54d5dc
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import