a) Suma y Resta:
1.- (189x³+379x²-467x-4621)+(421x³-1265x²-637x+16274)=610x³-886x²+1104x+116532.- (46825x³-314589x²+222x-163578)-(654189x²+16548x³-75391x⁵-7733x⁴+113344)=75391x⁵-7733x⁴+30277x³-968778x²+222x-2769333.- (18/9x⁴+37/14x²-22/63x⁷-147369)-(-77/23x⁷+41/5x²+189/61x⁴-245/13)=

R=5357/1449x⁷-201/183x⁴-389/70x+1916042/12
b) Multiplicación:
1.- (189x³)(189x¹¹)=35721x<sup>14

2.- (</sup>19x³-9y²)(7x²+11y³)=133x⁵+209x³y³-63x²y²-99y<sup>5

3.-</sup>(17x²-25y³)(14x³+21x²-34x²y-18xy²)=238x⁵+357x⁴-578x⁴y-350x³y³+306x³y²+850x²y⁴-525x²y³+450xy^5
4.-(15x⁴-8y³+12z²-33xyz)(45xyz+27x³-5z²-22y⁴)=
405x⁷+630x⁵yz-330x⁴y⁴-75x⁴z²-891x⁴yz-216x³y³+324x³z²-1485x²y²z²-360xy⁴z+705xyz³+726xy⁵z+40y³z²-264y⁴z^{2
c) Exponentes:1.-}(38X³Y)²⁼¹⁴⁴⁴X⁶Y<sup>2

2.-</sup>(7X-3Y)(14Y-27X)=-189X²-42Y²+179XY 
^{d) Diviciones}

^1.-(128X³-67X²+18X+49)/(4X)=32X²-16X+3/4^1/X+4+2/4^1/X+12^1/X

2.- (x²-28x+36)/(x+6)=x-34(+240/x-34)

3.- (75x²-105x-25)/(5x+5)=15x-38(165/15x-38)

4. (14x²-49x+71)/(2x+7)=7x-49(414/7x+49)