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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 (-6 * -8 <= -6) and (3 - (8 / -5) > 8)) or not not not (not not (False) or not not not (7 * -10 is less than or equal to -8))) and (not (not (The capital of Germany is Berlin.) or (False)) and (not (True) or (1 * -5 + 2 * -9 <= -5 * 1)))
(B) not (not (not not (not not not (1 * 7 + 5 * -9 > 6 * -2) and not not (-4 - (-8 / 3) is less than or equal to 4)) or not not not ((False) and (-1 * -4 + 3 * 3 is less than or equal to 1 * -7))) or (not not not (not not (-10 * -4 + 10 * -4 > -8 * -2) or not not not (-2 * 8 + 1 * 1 > -1 * -5)) and not not ((3 - (-9 / 10) is greater than -1) and (max(-6, 10, 9, 2) - min(-6, 10, 9, 2) is greater than 9)))) or (not ((not (True) and (2 * 4 > -1)) or (not not (max(-6, 10, 6, 6) - min(-6, 10, 6, 6) is greater than 10) or not not not (max(9, -8, 2, -1) - min(9, -8, 2, -1) <= 4))) or (not ((5 * -7 + -7 * -9 is less than or equal to 1 * -6) or (-1 - (-1 / -1) is greater than -6)) or (not (10 * 2 <= 8) or (2 * -6 is less than or equal to -8))))
(C) not (not (not not (not (The capital of Germany is Munich.) or (True)) or not not not ((6 * 7 <= 10) or (-3 * 10 + -1 * -10 <= -8 * -5))) or ((not not (The capital of Iraq is Beirut.) or not not not (4 * 9 + 3 * 10 is greater than -4 * -5)) and (not (-5 * 5 + 8 * -9 > -3 * 1) and (-10 - (8 / 8) > 10)))) and (not not (not not (not (True) or (max(10, -4, -6, 9) - min(10, -4, -6, 9) <= 5)) or not not not (not (The capital of Colombia is Medellin.) or (7 * -5 + 4 * 2 > -9 * -7))) or not not not (not (not (8 - (-10 / 5) is greater than 2) and (max(-1, -3, 5, 3) - min(-1, -3, 5, 3) is greater than 5)) or (not (max(8, -3, 9, -7) - min(8, -3, 9, -7) is greater than 8) or (1 * 1 + -3 * -5 is greater than -3 * 8))))
(D) ((not (not not ((not (not not (not (not not not (not not (3 * -9 is less than or equal to 2) or not not not (4 * -6 is less than or equal to 7)) and not not (max(-2, -9, -1, 2) - min(-2, -9, -1, 2) is greater than 7)) or (-3 - (-2 / -8) > 3)) or not not not (True)) or (7 * -6 + -6 * -7 is less than or equal to -3 * 2)) and (max(-5, -10, 3, -1) - min(-5, -10, 3, -1) is greater than 1)) or not not not (The capital of Azerbaijan is Ganja.)) or (4 - (-1 / -10) is less than or equal to 4)) and (True)) and (5 - (10 / -7) <= -4)
(E) (not not not (not not not (not (not not (not not (not (True) or (True)) or not not not (The capital of Malaysia is Putrajaya.)) or not not not (The capital of Jordan is Beirut.)) or (7 * -2 + -2 * 5 > -8 * -8)) and not not (-4 * 8 is less than or equal to 7)) and not not (-7 - (8 / 5) > 7)) or (-8 * 1 + 9 * 6 > -10 * -9)

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Source and history

task_id
7c64ebd0-4776-5bf9-b197-0a240d87006f
task_key
bbeh~5fboolean~5fexpressions--full--7c64ebd0-4776-5bf9-b197-0a240d87006f
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import