ID: 778
Given a set of complex equations, extract all unique variable names from each equation. Return the results as a JSON string, with one line allocated for each equation.
1) y = (3/4)x^3 - e^(2x) + sin(pi*x) - sqrt(7)
2) 2A - B/(3+C) * sum(N=1 to 5; ln(N)^2) = 5D*integral(a=0 to pi; cos(comb(N=1 to 10; N*a)))
3) E = m(c^2) + gamma*(v/d)/(-(alpha/2) + sqrt(beta^2 + (alpha/2)^2))
Aligned LLM's Response:
```
\n
{
\n
"
1
)
":
["
x
",
"
y
",
"
e
",
"
pi
",
"
sqrt
(
7
)
"],
\n
"
2
)
":
["
A
",
"
B
",
"
C
",
"
N
",
"
ln
(
N
)",
"
D
",
"
a
",
"
pi
",
"
comb
(
N
=
1
to
1
0
;
N
*
a
)
"],
\n
"
3
)
":
["
m
",
"
c
",
"
d
",
"
v
",
"
alpha
",
"
beta
",
"
gamma
"]
\n
}
\n
``
`
</s>
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