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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 $(b * a) + b$ if |a−b|<2|a-b| < 2 and $(a * b) + a$ otherwise. $a & b$ equals $(2 * b) - a$ if a>ba > b and bb 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. $a ~ b$ equals (a−b)(a - b) if $a * b > 0$; otherwise, it equals a+ba + b. For brevity, we use a<op1><op2>ba <op1><op2> b to denote (aop1b)op2b(a op1 b) op2 b. For example, $4 +* -5$ means $(4 + -5) * -5$ and $4 *-- -5$ means $(4 * -5) -- -5$. Let A = (((((((((((((((((((eight -][- -7) ][- 8) -+ 2) ][+~ 8) * eight) ][][* two) -++ -8) + 10) ~ -3) *-][ -10) - 6) ][][! 2) +* 4) ][ nine) ~~ -10) !*+ -8) ~! six) + 4) !][ 3) Let B = ((((5 +~ nine) -*~ (-7 & 4)) ~- ((-2 !++ 10) ! (-8 * -4))) -][- (((-2 !-! -5) ~*& (-1 &&+ 7)) ~! ((-6 && 4) + (4 - two)))) Let C = ((((four +][ -3) -!+ (-2 ][][ -10)) ][][+ ((-8 ][][ -2) +*& (-6 -][~ -5))) ! (((ten --][ -10) - (-7 +! -3)) + ((-9 ~+- -8) & (nine + -2)))). 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 $(b * a) + b$ if |a−b|<2 and $(a * b) + a$ otherwise.
$a & b$ 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.
For brevity, we use a<op1><op2>b to denote (aop1b)op2b. For example, $4 +* -5$ means $(4 + -5) * -5$ and $4 *-- -5$ means $(4 * -5) -- -5$.
Let A = (((((((((((((((((((eight -][- -7) ][- 8) -+ 2) ][+~ 8) * eight) ][][* two) -++ -8) + 10) ~ -3) *-][ -10) - 6) ][][! 2) +* 4) ][ nine) ~~ -10) !*+ -8) ~! six) + 4) !][ 3)
Let B = ((((5 +~ nine) -*~ (-7 & 4)) ~- ((-2 !++ 10) ! (-8 * -4))) -][- (((-2 !-! -5) ~*& (-1 &&+ 7)) ~! ((-6 && 4) + (4 - two))))
Let C = ((((four +][ -3) -!+ (-2 ][][ -10)) ][][+ ((-8 ][][ -2) +*& (-6 -][~ -5))) ! (((ten --][ -10) - (-7 +! -3)) + ((-9 ~+- -8) & (nine + -2)))).
Compute A + B - C. Your final answer must be in number form.
Original LaTeX notation
Consider the following new operations:

$a ! b$ equals $(b * a) + b$ if $|a-b| < 2$ and $(a * b) + a$ otherwise.
$a & b$ 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 $a + b$.
For brevity, we use $a <op1><op2> b$ to denote $(a op1 b) op2 b$. For example, $4 +* -5$ means $(4 + -5) * -5$ and $4 *-- -5$ means $(4 * -5) -- -5$.
Let A = (((((((((((((((((((eight -][- -7) ][- 8) -+ 2) ][+~ 8) * eight) ][][* two) -++ -8) + 10) ~ -3) *-][ -10) - 6) ][][! 2) +* 4) ][ nine) ~~ -10) !*+ -8) ~! six) + 4) !][ 3)
Let B = ((((5 +~ nine) -*~ (-7 & 4)) ~- ((-2 !++ 10) ! (-8 * -4))) -][- (((-2 !-! -5) ~*& (-1 &&+ 7)) ~! ((-6 && 4) + (4 - two))))
Let C = ((((four +][ -3) -!+ (-2 ][][ -10)) ][][+ ((-8 ][][ -2) +*& (-6 -][~ -5))) ! (((ten --][ -10) - (-7 +! -3)) + ((-9 ~+- -8) & (nine + -2)))).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
d0da26f3-af96-5e9d-8d82-b19f01bd288e
task_key
bbeh~5fmultistep~5farithmetic--full--d0da26f3-af96-5e9d-8d82-b19f01bd288e
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import