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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