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BIG-Bench Extra Hard (BBEH) / Consider the following new operations:

Problem

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input

Consider the following new operations: a><ba >< b equals (a+b)(a + b) if a−b>0a - b > 0; otherwise, it equals −a+−b-a + -b. a!ba ! b equals (a><a)+b(a >< a) + b if b<2b < 2 and (b><b)+a(b >< b) + a otherwise. a][ba ][ b equals min(a,b)min(a, b) if either aa or bb is prime and max(a,b)max(a, b) otherwise. a:ba : b equals (b+a)][b(b + a) ][ b if |a−b|<2|a-b| < 2 and (a+b)][a(a + b) ][ a otherwise. a;ba ; b equals $(a * b)$ if a!b>0a ! b > 0; otherwise, it equals a+ba + b. $a @ b$ equals (2!b)+a(2 ! b) + a if a>ba > b and bb otherwise. Let A = ((((-7 ][ two) ][ (-10 >< -1)) + ((four @ -9) + (8 >< 5))) >< (((8 ! 5) * (-6 - one)) - ((-3 * two) * (-7 ][ -5)))) Let B = ((((4 - six) - (seven @ -9)) : ((-2 ! five) ][ (-8 - -1))) ! (((six - seven) : (7 : 10)) @ ((five - -7) >< (5 + -9)))) Let C = (((((((((((((((((((-8 + -9) * four) * 4) >< -5) + -4) : -2) ; -10) >< 10) @ -4) ; -1) ; five) - 4) * -8) ; 3) >< 9) : 1) * -7) - five) + four). Compute A + B - C. Your final answer must be in number form.
Plain-text mathematical notation (without MathML)
Consider the following new operations:

a><b equals (a+b) if a−b>0; otherwise,  it equals −a+−b.
a!b equals (a><a)+b if b<2 and (b><b)+a otherwise.
a][b equals min(a,b) if either a or b is prime and max(a,b) otherwise.
a:b equals (b+a)][b if |a−b|<2 and (a+b)][a otherwise.
a;b equals $(a * b)$ if a!b>0; otherwise,  it equals a+b.
$a @ b$ equals (2!b)+a if a>b and b otherwise.

Let A = ((((-7 ][ two) ][ (-10 >< -1)) + ((four @ -9) + (8 >< 5))) >< (((8 ! 5) * (-6 - one)) - ((-3 * two) * (-7 ][ -5))))
Let B = ((((4 - six) - (seven @ -9)) : ((-2 ! five) ][ (-8 - -1))) ! (((six - seven) : (7 : 10)) @ ((five - -7) >< (5 + -9))))
Let C = (((((((((((((((((((-8 + -9) * four) * 4) >< -5) + -4) : -2) ; -10) >< 10) @ -4) ; -1) ; five) - 4) * -8) ; 3) >< 9) : 1) * -7) - five) + four).
Compute A + B - C. Your final answer must be in number form.
Original LaTeX notation
Consider the following new operations:

$a >< b$ equals $(a + b)$ if $a - b > 0$; otherwise,  it equals $-a + -b$.
$a ! b$ equals $(a >< a) + b$ if $b < 2$ and $(b >< b) + a$ otherwise.
$a ][ b$ equals $min(a, b)$ if either $a$ or $b$ is prime and $max(a, b)$ otherwise.
$a : b$ equals $(b + a) ][ b$ if $|a-b| < 2$ and $(a + b) ][ a$ otherwise.
$a ; b$ equals $(a * b)$ if $a ! b > 0$; otherwise,  it equals $a + b$.
$a @ b$ equals $(2 ! b) + a$ if $a > b$ and $b$ otherwise.

Let A = ((((-7 ][ two) ][ (-10 >< -1)) + ((four @ -9) + (8 >< 5))) >< (((8 ! 5) * (-6 - one)) - ((-3 * two) * (-7 ][ -5))))
Let B = ((((4 - six) - (seven @ -9)) : ((-2 ! five) ][ (-8 - -1))) ! (((six - seven) : (7 : 10)) @ ((five - -7) >< (5 + -9))))
Let C = (((((((((((((((((((-8 + -9) * four) * 4) >< -5) + -4) : -2) ; -10) >< 10) @ -4) ; -1) ; five) - 4) * -8) ; 3) >< 9) : 1) * -7) - five) + four).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
b3d25eed-e000-582a-aaf6-28e19724579f
task_key
bbeh~5fmultistep~5farithmetic--full--b3d25eed-e000-582a-aaf6-28e19724579f
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import