<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( x + 0 ) + ( y + ( ( 2 * y ) * 0 ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x + y
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 0 * y ) + ( x + x ) ) + ( 1 * ( z * y ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
2 * x + y * z
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( ( z + 0 ) * y ) * ( ( y + 0 ) + x ) ) + ( 0 * z )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x * y * z + y ^ 2 * z
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 2 + ( z * y ) ) * ( 2 * y ) ) * ( ( z * y ) + ( ( y + ( ( 2 * 0 ) * ( 1 * y ) ) ) * 1 ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
2 * y ^ 3 * z ^ 2 + 2 * y ^ 3 * z + 4 * y ^ 2 * z + 4 * y ^ 2
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 1 + ( 0 + x ) ) * ( y * z ) ) + ( ( 1 * x ) + ( y + y ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x * y * z + x + y * z + 2 * y
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( y * ( ( 1 + z ) + 1 ) ) + z ) + ( 2 + ( ( x * 1 ) + ( 2 + 0 ) ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x + y * z + 2 * y + z + 4
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( 1 * ( y + x ) ) * x
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x ^ 2 + x * y
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( z + ( 1 + 0 ) ) * ( x * ( 0 * 2 ) ) ) * ( ( 1 * x ) * 2 )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
0
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 1 * ( 1 * x ) ) + ( x + ( ( 0 + y ) * x ) ) ) * ( ( ( 0 * x ) * x ) * 1 )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
0
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
y * ( ( y + y ) * 0 )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
0
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 1 + 0 ) * 2 ) + ( ( 0 + ( z * ( y * y ) ) ) + ( ( z * z ) + ( y + ( 0 + 2 ) ) ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
y ^ 2 * z + y + z ^ 2 + 4
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( 0 + 0 ) * ( ( 0 + 1 ) * 2 )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
0
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( z * ( 1 + 2 ) ) + ( 1 * ( ( y * 2 ) + ( ( 0 + 1 ) * 1 ) ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
2 * y + 3 * z + 1
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( ( x + 0 ) * z ) + ( 0 + y ) ) + ( ( ( ( 1 * 2 ) + x ) * ( y + 0 ) ) + ( z * ( x + 0 ) ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x * y + 2 * x * z + 3 * y
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 0 + x ) * ( 0 * y ) ) + ( ( 1 + y ) + ( z + ( ( z + ( x + 0 ) ) * y ) ) )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x * y + y * z + y + z + 1
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( x * ( z * ( z + x ) ) ) + x ) + ( ( x * 0 ) * 2 )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
x ^ 2 * z + x * z ^ 2 + x
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 2 + y ) + 1 ) + ( ( ( 2 * 1 ) + 0 ) + z )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
y + z + 5
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( ( 1 * ( y + z ) ) * ( 2 * x ) ) * ( ( 0 * 1 ) + y )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
2 * x * y ^ 2 + 2 * x * y * z
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( x * 0 ) * ( ( 1 + x ) + z )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
0
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
( y * 0 ) * ( x * 1 )
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
0
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Normalize the following polynomial:
