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

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

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

$a <> b$ equals $(2 * b) + a$ if $a > b$ and $b$ otherwise.
$a # b$ equals $(b <> a) - b$ if $|a-b| < 2$ and $(a <> b) - a$ 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 $a - b$.
$a ! b$ equals $(a - b)$ if $a & b > 0$; otherwise,  it equals $a + b$.

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

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Source and history

task_id
74806c9e-6281-5729-a685-0adb0f135efd
task_key
bbeh~5fmultistep~5farithmetic--full--74806c9e-6281-5729-a685-0adb0f135efd
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

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