Derivative

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Problem

Find the derived functions

Options

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now post-mortem time, all source codes will be revealed

Sample input:_

0
99
x
1
x+1
2x
2
x^2
3x^5+2x^3-3x^2+5
15x^4+6x^2-6x
60x^3+12x-6
180x^2+12
360x
360
x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+1
50x^49+49x^48+48x^47+47x^46+46x^45+45x^44+44x^43+43x^42+42x^41+41x^40
-7x^7-6x^6-5x^5
-49x^6-36x^5-25x^4
-294x^5-180x^4-100x^3
-1470x^4-720x^3-300x^2
-5880x^3-2160x^2-600x
-17640x^2-4320x-600
-35280x-4320
-35280
x^-1
-x^-2
2x^-3
-6x^-4
24x^-5
-x^-1
x^-2
x^5-3x^-5
10x^0.1
7x^7.7
-2008
-x
-2x^0.5
-x^-0.5
-3x^-1.2+5x^-2-7x-16
x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1
2x^-2-3x^-3+4x^-4-5x^-5+6x^-6
-4x^-3+9x^-4-16x^-5+25x^-6-36x^-7

Sample output:

0
0
1
0
1
2
0
2x
15x^4+6x^2-6x
60x^3+12x-6
180x^2+12
360x
360
0
50x^49+49x^48+48x^47+47x^46+46x^45+45x^44+44x^43+43x^42+42x^41+41x^40
2450x^48+2352x^47+2256x^46+2162x^45+2070x^44+1980x^43+1892x^42+1806x^41+1722x^40+1640x^39
-49x^6-36x^5-25x^4
-294x^5-180x^4-100x^3
-1470x^4-720x^3-300x^2
-5880x^3-2160x^2-600x
-17640x^2-4320x-600
-35280x-4320
-35280
0
-x^-2
2x^-3
-6x^-4
24x^-5
-120x^-6
x^-2
-2x^-3
5x^4+15x^-6
x^-0.9
53.9x^6.7
0
-1
-x^-0.5
0.5x^-1.5
3.6x^-2.2-10x^-3-7
9x^8-8x^7+7x^6-6x^5+5x^4-4x^3+3x^2-2x+1
-4x^-3+9x^-4-16x^-5+25x^-6-36x^-7
12x^-4-36x^-5+80x^-6-150x^-7+252x^-8

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