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

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input

Consider the following new operations: a][ba ][ b equals (a−b)(a - b) if $a * b > 0$; otherwise, it equals −a−−b-a - -b. 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><a)+b(a >< a) + b if b<2b < 2 and (b><b)+a(b >< b) + a otherwise. $a @ b$ equals (a+b)(a + b) if a!b>0a ! b > 0; otherwise, it equals a><ba >< b. Let A = ((((-4 ! -1) @ (-9 ][ 8)) @ ((one - -9) >< (nine * 6))) + (((eight + one) + (6 + two)) ][ ((1 ][ -5) + (three ! -8)))) Let B = ((((-3 + -10) * (six >< 4)) >< ((-1 ][ -4) ][ (5 ][ -5))) * (((10 @ eight) * (3 + -2)) * ((8 @ 8) * (-6 >< five)))) Let C = ((((1 ! -10) + (-1 - -4)) ! ((7 @ five) * (nine @ 4))) - (((-9 * -1) * (9 >< one)) >< ((five >< -7) + (seven ][ 10)))). 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 (b−a)][b if |a−b|<2 and (a−b)][a otherwise.
a!b equals (a><a)+b if b<2 and (b><b)+a otherwise.
$a @ b$ equals (a+b) if a!b>0; otherwise,  it equals a><b.

Let A = ((((-4 ! -1) @ (-9 ][ 8)) @ ((one - -9) >< (nine * 6))) + (((eight + one) + (6 + two)) ][ ((1 ][ -5) + (three ! -8))))
Let B = ((((-3 + -10) * (six >< 4)) >< ((-1 ][ -4) ][ (5 ][ -5))) * (((10 @ eight) * (3 + -2)) * ((8 @ 8) * (-6 >< five))))
Let C = ((((1 ! -10) + (-1 - -4)) ! ((7 @ five) * (nine @ 4))) - (((-9 * -1) * (9 >< one)) >< ((five >< -7) + (seven ][ 10)))).
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 $(b - a) ][ b$ if $|a-b| < 2$ and $(a - b) ][ a$ otherwise.
$a ! b$ equals $(a >< a) + b$ if $b < 2$ and $(b >< b) + a$ otherwise.
$a @ b$ equals $(a + b)$ if $a ! b > 0$; otherwise,  it equals $a >< b$.

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

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Source and history

task_id
c1061122-90c3-525d-b1e9-550d967eba93
task_key
bbeh~5fmultistep~5farithmetic--full--c1061122-90c3-525d-b1e9-550d967eba93
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import