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

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

Let A = ((((9 : 3) ][ (-7 & -5)) # ((-6 # four) + (-1 # ten))) ; (((-3 : -4) & (-7 : six)) - ((five # four) ][ (-7 * -6))))
Let B = ((((-6 - -2) & (two - -3)) ; ((four & 7) * (one * four))) # (((-1 ; three) ][ (-5 ][ five)) # ((9 ; -6) : (4 - eight))))
Let C = ((((five ][ five) * (one ][ 3)) : ((-8 & 4) & (-8 : five))) & (((-2 - one) # (-6 ][ 8)) # ((-7 * -6) & (-6 ][ two)))).
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 $a * b$ if $gcd(a, b) == 1$ and $gcd(a, b)$ otherwise, where gcd stands for greatest common divisor.
$a # b$ equals $min(a, b)$ if either $a$ or $b$ is prime and $max(a, b)$ otherwise.
$a : b$ equals $(a + a) - b$ if $b < 2$ and $(b + b) - a$ otherwise.

Let A = ((((9 : 3) ][ (-7 & -5)) # ((-6 # four) + (-1 # ten))) ; (((-3 : -4) & (-7 : six)) - ((five # four) ][ (-7 * -6))))
Let B = ((((-6 - -2) & (two - -3)) ; ((four & 7) * (one * four))) # (((-1 ; three) ][ (-5 ][ five)) # ((9 ; -6) : (4 - eight))))
Let C = ((((five ][ five) * (one ][ 3)) : ((-8 & 4) & (-8 : five))) & (((-2 - one) # (-6 ][ 8)) # ((-7 * -6) & (-6 ][ two)))).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
0e6571b6-2e65-50d9-85d2-eeb571503cbd
task_key
bbeh~5fmultistep~5farithmetic--full--0e6571b6-2e65-50d9-85d2-eeb571503cbd
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import