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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 (max(-2, -7, -10, -3) - min(-2, -7, -10, -3) <= 6) or (max(-2, -5, -6, -4) - min(-2, -5, -6, -4) > 4)) and (-6 * -2 + 9 * -7 > -10 * -2)) and (1 * 3 > 6)) and (The capital of Belarus is Grodno.)) and not not (True)) or (The capital of Cameroon is Douala.)) or not not not (The capital of Germany is Munich.)) or not not not (The capital of India is Mumbai.)) or (True)) or (max(9, 1, 1, -10) - min(9, 1, 1, -10) is greater than 8)) or not not not (4 * -8 is less than or equal to 9)) or (5 - (8 / -4) is less than or equal to 7)) or (True)) or (9 - (10 / 4) is greater than 3)) and (False)
(B) not (not not ((True) or (False)) or not not not (not not (False) or not not not (-5 * 9 + -9 * -5 is greater than 10 * -5))) or (not not not (not not not (max(7, -2, 8, 8) - min(7, -2, 8, 8) <= 3) and not not (True)) and not not ((The capital of Cameroon is Douala.) or (-4 * -2 + 4 * 2 is less than or equal to -10 * 3)))
(C) not (not ((not (not (not (not not not (not not not (not not not (not (not (-3 - (9 / -7) > 4) and (True)) and (True)) and not not (-6 * 9 + 9 * -4 > 6 * -7)) and not not (True)) and not not (8 * 1 + 3 * -6 is less than or equal to -7 * 3)) or (8 - (-9 / -2) is greater than -3)) or (The capital of Azerbaijan is Baku.)) or (-2 * 5 > 7)) or (8 - (1 / 8) is greater than 7)) or (6 - (-9 / -9) is greater than -8)) and (True)
(D) not not ((not not (not (not not not (not (not (not (not not not ((not (not (not not not (not not not (False) and not not (1 * -10 + 6 * -8 > 2 * -7)) and not not (The capital of the Nigeria is Lagos.)) or (max(-7, -6, 9, -9) - min(-7, -6, 9, -9) is greater than 3)) and (6 * 1 + -3 * -1 is less than or equal to -4 * 5)) or (The capital of Azerbaijan is Baku.)) and not not (max(-10, -4, 2, -5) - min(-10, -4, 2, -5) is greater than 4)) and (max(3, -3, 1, -9) - min(3, -3, 1, -9) is greater than 10)) and (9 - (9 / 8) <= -4)) and (-1 * -6 <= 1)) and not not (The capital of Denmark is Copenhagen.)) or (max(4, -4, 3, 6) - min(4, -4, 3, 6) <= 5)) or not not not (-1 * -6 + 7 * -3 > 3 * 9)) and (The capital of Nepal is Kathmandu.)) or not not not (The capital of Turkey is Ankara.)
(E) not not ((not not not (not not not (not not not (not (not not not (not not not (not not not (not not (not (not not (10 - (-6 / 1) is greater than -3) or not not not (max(-2, 2, 2, -3) - min(-2, 2, 2, -3) <= 5)) and (-10 * -1 > -8)) or not not not (max(-6, 3, 10, -8) - min(-6, 3, 10, -8) <= 2)) and not not (-5 * -6 + 10 * -4 > -3 * -6)) and not not (False)) and not not (False)) or (False)) and not not (False)) and not not (max(4, -10, 8, -4) - min(4, -10, 8, -4) <= 5)) and not not (max(6, -2, -10, -9) - min(6, -2, -10, -9) <= 6)) and (max(2, 5, -5, -8) - min(2, 5, -5, -8) is greater than 1)) or not not not (The capital of Belarus is Minsk.)

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Source and history

task_id
11349dae-2b28-594a-a280-a09edde27249
task_key
bbeh~5fboolean~5fexpressions--full--11349dae-2b28-594a-a280-a09edde27249
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import