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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 $a * b > 0$; otherwise, it equals −a+−b-a + -b. a<>ba <> b equals (a−b)(a - b) if a−b>0a - b > 0; otherwise, it equals a+ba + b. a:ba : b equals (2+b)−a(2 + b) - a if a>ba > b and bb 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. $a & b$ equals (a+b)(a + b) if $a * b > 0$; otherwise, it equals a:ba : b. Let A = ((((ten * -9) : (six * -9)) + ((6 + 7) # (nine & 1))) * (((-6 : 1) * (-2 @ -1)) * ((7 <> -2) + (4 * -5)))) Let B = (((((((((((((((one <> 1) : -8) # -8) # four) <> eight) @ -9) + four) & 1) & -1) & -10) # -5) <> 2) - -7) @ -7) * -3) Let C = ((((-10 + -1) @ (8 & eight)) # ((-7 @ -10) # (5 @ -9))) # (((five + -10) & (-1 + six)) : ((-6 * -1) @ (-1 <> -5)))). 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 (2+b)−a if a>b and b 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 $a * b > 0$; otherwise,  it equals a:b.

Let A = ((((ten * -9) : (six * -9)) + ((6 + 7) # (nine & 1))) * (((-6 : 1) * (-2 @ -1)) * ((7 <> -2) + (4 * -5))))
Let B = (((((((((((((((one <> 1) : -8) # -8) # four) <> eight) @ -9) + four) & 1) & -1) & -10) # -5) <> 2) - -7) @ -7) * -3)
Let C = ((((-10 + -1) @ (8 & eight)) # ((-7 @ -10) # (5 @ -9))) # (((five + -10) & (-1 + six)) : ((-6 * -1) @ (-1 <> -5)))).
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 $(2 + b) - a$ if $a > b$ and $b$ 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 $a * b > 0$; otherwise,  it equals $a : b$.

Let A = ((((ten * -9) : (six * -9)) + ((6 + 7) # (nine & 1))) * (((-6 : 1) * (-2 @ -1)) * ((7 <> -2) + (4 * -5))))
Let B = (((((((((((((((one <> 1) : -8) # -8) # four) <> eight) @ -9) + four) & 1) & -1) & -10) # -5) <> 2) - -7) @ -7) * -3)
Let C = ((((-10 + -1) @ (8 & eight)) # ((-7 @ -10) # (5 @ -9))) # (((five + -10) & (-1 + six)) : ((-6 * -1) @ (-1 <> -5)))).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
4d277617-a171-5e96-8a9c-7c9cc2f9dbc8
task_key
bbeh~5fmultistep~5farithmetic--full--4d277617-a171-5e96-8a9c-7c9cc2f9dbc8
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import