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

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

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Source and history

task_id
bfdadb88-db22-56b3-94e9-aa29bb7ce4a4
task_key
bbeh~5fmultistep~5farithmetic--full--bfdadb88-db22-56b3-94e9-aa29bb7ce4a4
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import