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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 $(a * a) + b$ if b<2b < 2 and $(b * b) + a$ otherwise. a><ba >< b equals $(a * b)$ if a[]b>0a [] b > 0; otherwise, it equals $-a * -b$. $a # b$ equals (a−b)(a - b) if $a * b > 0$; otherwise, it equals a><ba >< b. $a @ b$ equals (a−b)(a - b) if a+b>0a + b > 0; otherwise, it equals a+ba + b. a][ba ][ b equals $(b + a) ~ b$ if |a−b|<2|a-b| < 2 and $(a + b) ~ a$ otherwise. Let A = ((((-6 + -8) # (-4 * -3)) * ((2 [] four) - (-8 @ 10))) ~ (((-3 ][ -2) * (three @ eight)) ][ ((two >< 4) * (3 * one)))) Let B = (((((((((((((((((((four # -2) @ one) @ 6) * -7) * ten) # -4) * eight) ][ -6) [] 7) ][ -7) * -4) >< eight) - seven) * 1) @ -4) * three) ][ -7) * -8) ~ 9) Let C = ((((((((((((((((((((((nine @ -5) + -5) # -4) + 5) ~ -7) [] -5) - 7) ][ 9) @ 10) ~ -2) [] nine) [] -7) ~ -9) + -5) # 10) ~ one) # -4) >< 5) [] -10) >< 3) # 9) + -9). 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 $(a * a) + b$ 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.
$a @ b$ 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.

Let A = ((((-6 + -8) # (-4 * -3)) * ((2 [] four) - (-8 @ 10))) ~ (((-3 ][ -2) * (three @ eight)) ][ ((two >< 4) * (3 * one))))
Let B = (((((((((((((((((((four # -2) @ one) @ 6) * -7) * ten) # -4) * eight) ][ -6) [] 7) ][ -7) * -4) >< eight) - seven) * 1) @ -4) * three) ][ -7) * -8) ~ 9)
Let C = ((((((((((((((((((((((nine @ -5) + -5) # -4) + 5) ~ -7) [] -5) - 7) ][ 9) @ 10) ~ -2) [] nine) [] -7) ~ -9) + -5) # 10) ~ one) # -4) >< 5) [] -10) >< 3) # 9) + -9).
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 $(a * a) + b$ 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 $a >< b$.
$a @ b$ 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.

Let A = ((((-6 + -8) # (-4 * -3)) * ((2 [] four) - (-8 @ 10))) ~ (((-3 ][ -2) * (three @ eight)) ][ ((two >< 4) * (3 * one))))
Let B = (((((((((((((((((((four # -2) @ one) @ 6) * -7) * ten) # -4) * eight) ][ -6) [] 7) ][ -7) * -4) >< eight) - seven) * 1) @ -4) * three) ][ -7) * -8) ~ 9)
Let C = ((((((((((((((((((((((nine @ -5) + -5) # -4) + 5) ~ -7) [] -5) - 7) ][ 9) @ 10) ~ -2) [] nine) [] -7) ~ -9) + -5) # 10) ~ one) # -4) >< 5) [] -10) >< 3) # 9) + -9).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
44fbde7f-98dc-5c4b-8336-746f1fd99d81
task_key
bbeh~5fmultistep~5farithmetic--full--44fbde7f-98dc-5c4b-8336-746f1fd99d81
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

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