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

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input

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

Let A = ((((((((((((((6 # -9) @ -10) @ -6) # -5) >< 1) + -9) * -7) * two) # nine) @ seven) ][ two) ; five) : 6) ; -5)
Let B = ((((((((((((((((((-1 + 3) # -10) : 4) - 9) # -3) + -9) >< -3) : -6) - -4) ; eight) # seven) + three) # -6) # 6) # 7) * -5) - seven) ; -5)
Let C = (((((((((((((((((-8 - three) ][ -4) @ nine) : 3) * nine) @ one) ][ 4) - 8) >< -8) ][ eight) ; -4) ][ 4) + 8) : -10) * 2) ][ -2) @ -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 $(a @ b)$ 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 $a >< b$ if $gcd(a, b) == 1$ and $gcd(a, b)$ otherwise, where gcd stands for greatest common divisor.
$a ][ b$ equals $(a - b)$ if $a : b > 0$; otherwise,  it equals $a + b$.

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

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Source and history

task_id
88203726-b2ef-5aa8-b084-b9fe4d0761f1
task_key
bbeh~5fmultistep~5farithmetic--full--88203726-b2ef-5aa8-b084-b9fe4d0761f1
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

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