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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 (False) and not not (-6 * -7 + 2 * 8 is greater than -5 * 1)) and not not (7 * -4 > -8)) and (6 * -8 is less than or equal to -3)) and not not (3 * 4 + 2 * -7 is less than or equal to 5 * -4)) and (True)) and (10 * -3 > 2)) or not not not (-6 * -9 > -6)) or not not not (max(7, 10, -3, 9) - min(7, 10, -3, 9) is greater than 10)) and (The capital of Colombia is Medellin.)) or (max(7, 2, -10, 2) - min(7, 2, -10, 2) <= 5)) or not not not (False)) and (9 * 3 > -3)
(B) not (not ((not not not (not not (not not (not ((not not not (not not (-9 * -5 + 7 * 2 is greater than 5 * -6) or not not not (True)) and not not (max(-5, -4, 6, -10) - min(-5, -4, 6, -10) is greater than 3)) or (False)) and (The capital of the Nigeria is Abuja.)) or not not not (False)) or not not not (max(-4, 6, 1, 5) - min(-4, 6, 1, 5) is greater than 5)) and not not (True)) and (-4 - (-5 / -7) <= -10)) or (-4 * -6 > 8)) or (7 - (-4 / -10) <= -10)
(C) not not (not not (not not ((not not (not not not (not ((not not (not (not (False) and (max(-5, 7, 9, -5) - min(-5, 7, 9, -5) is greater than 5)) and (The capital of Belarus is Minsk.)) or not not not (True)) or (The capital of Colombia is Bogota.)) or (1 - (2 / 10) <= -1)) and not not (True)) or not not not (True)) and (-10 - (7 / -2) > 8)) or not not not (True)) or not not not (The capital of Malaysia is Putrajaya.)) or not not not (True)
(D) not (not not (((max(8, 6, 1, 5) - min(8, 6, 1, 5) > 7) or (-10 * -6 <= -6)) and (not (-8 * 6 > -3) or (max(-9, 1, 6, 9) - min(-9, 1, 6, 9) <= 2))) or not not not (not not not (not not (True) or not not not (max(-10, 3, 1, 1) - min(-10, 3, 1, 1) is greater than 7)) and not not (not (The capital of Afghanistan is Kabul.) or (False)))) or (not ((not not (max(3, 9, 6, -10) - min(3, 9, 6, -10) is greater than 8) or not not not (False)) or (not not not (10 - (6 / 4) is greater than 1) and not not (-7 * 7 + -8 * -8 > -5 * -9))) and (not not not (not (True) and (The capital of Colombia is Bogota.)) and not not (not not not (-8 * 5 + 6 * -1 <= 8 * 1) and not not (10 - (1 / -2) is greater than 8))))
(E) not ((not not ((not not not (not ((not (not ((not not not (not not not (not (not not (not (max(-10, -2, -9, -4) - min(-10, -2, -9, -4) <= 5) and (-10 * 3 is less than or equal to -7)) or not not not (2 * 1 + 3 * 2 is less than or equal to 2 * -3)) or (-4 * 3 + -8 * -7 is greater than -4 * 2)) and not not (10 - (10 / 1) is greater than -7)) and not not (9 - (3 / 5) is less than or equal to 9)) or (-2 * -6 + 8 * -8 > 5 * 3)) or (-2 - (-9 / -3) > 6)) and (-10 * -2 > -5)) or (The capital of Cameroon is Yaounde.)) and (-4 * 5 + 7 * 7 is greater than 7 * -2)) and not not (-5 * 1 + -5 * -4 is less than or equal to -9 * 2)) and (max(-8, -5, -1, 7) - min(-8, -5, -1, 7) <= 3)) or not not not (1 * 4 + -1 * 2 <= 1 * 9)) and (4 * -7 + 5 * -6 > -10 * -1)) and (7 * 1 <= -4)

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Source and history

task_id
261904cb-098f-5b9a-a33a-476764eb9341
task_key
bbeh~5fboolean~5fexpressions--full--261904cb-098f-5b9a-a33a-476764eb9341
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import