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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 $(2 ~ b) - a$ 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<>ba <> b equals (a−b)(a - b) if a−b>0a - b > 0; otherwise, it equals a+ba + b. $a & b$ equals (b;a)−b(b ; a) - b if |a−b|<2|a-b| < 2 and (a;b)−a(a ; b) - a otherwise. 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 = (((((((((((-1 & 1) ~+ three) :& nine) ;<> -9) ~<>: -3) +~<> -6) ~&: 9) <> five) +; -2) +&: 3) ~& -5) Let B = (((((((((((((((((((((((eight : -3) - five) : -8) -; -1) : 9) ;+~ 9) * 6) + nine) -+ 3) *; seven) : 1) : ten) :+<> -8) ;+ one) & -1) & -3) :; 1) :;+ 9) ;* -6) +- eight) *& four) *- three) :** 7) Let C = ((((ten ~** -10) &+<> (4 :<><> 3)) ;: ((3 - -10) ;&+ (three : -4))) ; (((9 - -2) <>; (-9 +*<> seven)) +~ ((-1 <><> 2) &: (three ; 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 $(2 ~ b) - a$ 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.
$a & b$ equals (b;a)−b if |a−b|<2 and (a;b)−a otherwise.
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 = (((((((((((-1 & 1) ~+ three) :& nine) ;<> -9) ~<>: -3) +~<> -6) ~&: 9) <> five) +; -2) +&: 3) ~& -5)
Let B = (((((((((((((((((((((((eight : -3) - five) : -8) -; -1) : 9) ;+~ 9) * 6) + nine) -+ 3) *; seven) : 1) : ten) :+<> -8) ;+ one) & -1) & -3) :; 1) :;+ 9) ;* -6) +- eight) *& four) *- three) :** 7)
Let C = ((((ten ~** -10) &+<> (4 :<><> 3)) ;: ((3 - -10) ;&+ (three : -4))) ; (((9 - -2) <>; (-9 +*<> seven)) +~ ((-1 <><> 2) &: (three ; 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 $(2 ~ b) - a$ 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 $a + b$.
$a & b$ equals $(b ; a) - b$ if $|a-b| < 2$ and $(a ; b) - a$ otherwise.
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 = (((((((((((-1 & 1) ~+ three) :& nine) ;<> -9) ~<>: -3) +~<> -6) ~&: 9) <> five) +; -2) +&: 3) ~& -5)
Let B = (((((((((((((((((((((((eight : -3) - five) : -8) -; -1) : 9) ;+~ 9) * 6) + nine) -+ 3) *; seven) : 1) : ten) :+<> -8) ;+ one) & -1) & -3) :; 1) :;+ 9) ;* -6) +- eight) *& four) *- three) :** 7)
Let C = ((((ten ~** -10) &+<> (4 :<><> 3)) ;: ((3 - -10) ;&+ (three : -4))) ; (((9 - -2) <>; (-9 +*<> seven)) +~ ((-1 <><> 2) &: (three ; two)))).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
63ba3db9-9bd1-5046-b07e-ec59b7281e47
task_key
bbeh~5fmultistep~5farithmetic--full--63ba3db9-9bd1-5046-b07e-ec59b7281e47
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

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