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

Problem

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input

Consider the following new operations: $a ~ b$ equals $(a * b)$ if a−b>0a - b > 0; otherwise, it equals a+ba + b. $a # b$ 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 $(2 - b) ~ a$ if a>ba > b and bb otherwise. a!ba ! b equals $(a * a) - b$ if b<2b < 2 and $(b * b) - a$ otherwise. a<>ba <> b equals $(a * b)$ if a−b>0a - b > 0; otherwise, it equals $-a * -b$. a;ba ; b equals (a−b)(a - b) if a−b>0a - b > 0; otherwise, it equals a+ba + b. Let A = ((((four - -5) : (six ; -3)) # ((nine # -9) ! (-9 * 2))) * (((five ~ -3) + (nine : -1)) : ((-2 - -4) ; (5 <> -1)))) Let B = (((((((((((((((-10 - 8) * -4) + two) ; -9) <> 9) # -5) ~ seven) - -7) # 9) : -9) : 1) - 10) # seven) : -9) + 1) Let C = ((((-8 : one) + (6 ; -10)) : ((-4 # -6) ~ (-2 + seven))) : (((-1 * five) * (-9 ~ -9)) # ((six * -10) + (-2 - -7)))). 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 min(a,b) if either a or b is prime and max(a,b) otherwise.
a:b equals $(2 - b) ~ a$ if a>b and b otherwise.
a!b equals $(a * a) - b$ if b<2 and $(b * b) - a$ otherwise.
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 = ((((four - -5) : (six ; -3)) # ((nine # -9) ! (-9 * 2))) * (((five ~ -3) + (nine : -1)) : ((-2 - -4) ; (5 <> -1))))
Let B = (((((((((((((((-10 - 8) * -4) + two) ; -9) <> 9) # -5) ~ seven) - -7) # 9) : -9) : 1) - 10) # seven) : -9) + 1)
Let C = ((((-8 : one) + (6 ; -10)) : ((-4 # -6) ~ (-2 + seven))) : (((-1 * five) * (-9 ~ -9)) # ((six * -10) + (-2 - -7)))).
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 $min(a, b)$ if either $a$ or $b$ is prime and $max(a, b)$ otherwise.
$a : b$ equals $(2 - b) ~ a$ if $a > b$ and $b$ otherwise.
$a ! b$ equals $(a * a) - b$ if $b < 2$ and $(b * b) - a$ otherwise.
$a <> b$ 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 = ((((four - -5) : (six ; -3)) # ((nine # -9) ! (-9 * 2))) * (((five ~ -3) + (nine : -1)) : ((-2 - -4) ; (5 <> -1))))
Let B = (((((((((((((((-10 - 8) * -4) + two) ; -9) <> 9) # -5) ~ seven) - -7) # 9) : -9) : 1) - 10) # seven) : -9) + 1)
Let C = ((((-8 : one) + (6 ; -10)) : ((-4 # -6) ~ (-2 + seven))) : (((-1 * five) * (-9 ~ -9)) # ((six * -10) + (-2 - -7)))).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
651866be-8b0f-5fb7-b4aa-3997fb5565b0
task_key
bbeh~5fmultistep~5farithmetic--full--651866be-8b0f-5fb7-b4aa-3997fb5565b0
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import