Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10701	Simplify	(a^2-ab)/a	$\frac{a^{2} - a b}{a}$
10702	Simplify	(a^2-b)/(2b)	$\frac{a^{2} - b}{2 b}$
10703	Simplify	(a^3b^9)/(a^5b^7)	$\frac{a^{3} b^{9}}{a^{5} b^{7}}$
10704	Simplify	(a^3)/(a^5)	$\frac{a^{3}}{a^{5}}$
10705	Simplify	(a^3-2a^2+a)/(a^2-a)	$\frac{a^{3} - 2 a^{2} + a}{a^{2} - a}$
10706	Simplify	(a^3-4a)/(a^3+7a^2+10a)	$\frac{a^{3} - 4 a}{a^{3} + 7 a^{2} + 10 a}$
10707	Simplify	(a^4)/(a^6)	$\frac{a^{4}}{a^{6}}$
10708	Simplify	(a^5-32)/(a^4+2a^3+4a^2+8a+16)	$\frac{a^{5} - 32}{a^{4} + 2 a^{3} + 4 a^{2} + 8 a + 16}$
10709	Simplify	(a^5-8a^4)/(2a^4)	$\frac{a^{5} - 8 a^{4}}{2 a^{4}}$
10710	Simplify	(a^6-9a^4)/(3a^4)	$\frac{a^{6} - 9 a^{4}}{3 a^{4}}$
10711	Simplify	(a^8b*(a^6b^2))/((a^2b^5)^2)	$\frac{a^{8} b \cdot (a^{6} b^{2})}{{(a^{2} b^{5})}^{2}}$
10712	Simplify	(a^(n-1))/(a^n)	$\frac{a^{n - 1}}{a^{n}}$
10713	Simplify	((a+b)/(ab))/((a^2-b^2)/(2a^4b))	$\frac{\frac{a + b}{a b}}{\frac{a^{2} - b^{2}}{2 a^{4} b}}$
10714	Simplify	(ab^2)/(ab)	$\frac{a b^{2}}{a b}$
10715	Simplify	(b/(b+2)+1/(3b))/(b/(6b+12)+2/b)	$\frac{\frac{b}{b + 2} + \frac{1}{3 b}}{\frac{b}{6 b + 12} + \frac{2}{b}}$
10716	Simplify	(b^(3/4))/(b^(-3/2))	$\frac{b^{\frac{3}{4}}}{b^{- \frac{3}{2}}}$
10717	Simplify	((-3/(m+2)+5)/2)/(-(m^2+m-2))	$\frac{\frac{\frac{- 3}{m + 2} + 5}{2}}{- (m^{2} + m - 2)}$
10718	Simplify	(3a^2)/((b^3)^-3)	$\frac{3 a^{2}}{{(b^{3})}^{- 3}}$
10719	Simplify	(((3y-7)/(4y+5))/(6y-1))/(5y-6)	$\frac{\frac{\frac{3 y - 7}{4 y + 5}}{6 y - 1}}{5 y - 6}$
10720	Simplify	((a^3-b^3)/(a^3+b^3)*((a^2-b^2)/((a+b)^2)))/(((a-b)^3)/(a^4-b^4))	$\frac{\frac{a^{3} - b^{3}}{a^{3} + b^{3}} \cdot (\frac{a^{2} - b^{2}}{{(a + b)}^{2}})}{\frac{{(a - b)}^{3}}{a^{4} - b^{4}}}$
10721	Simplify	((a^7)/(8b^3(a^2-b^2)))/(((a-b)a^-1)/(8b^2*(a+b)))	$\frac{\frac{a^{7}}{8 b^{3} \cdot (a^{2} - b^{2})}}{\frac{(a - b) \cdot a^{- 1}}{8 b^{2} \cdot (a + b)}}$
10722	Simplify	(((a+2)/(a^2+2a-3))/(a+2))/(a^2-a)	$\frac{\frac{\frac{a + 2}{a^{2} + 2 a - 3}}{a + 2}}{a^{2} - a}$
10723	Simplify	((b^2+7b)/8)/((b+7)/b)	$\frac{\frac{b^{2} + 7 b}{8}}{\frac{b + 7}{b}}$
10724	Simplify	(((k+3)/(15k))/(3k-1))/(5k)	$\frac{\frac{\frac{k + 3}{15 k}}{3 k - 1}}{5 k}$
10725	Simplify	((t^2-1)/(25t+25))/((5t^2-10t+5)/(125t+125))	$\frac{\frac{t^{2} - 1}{25 t + 25}}{\frac{5 t^{2} - 10 t + 5}{125 t + 125}}$
10726	Simplify	-(( square root of 3)^3)/4	$- \frac{{(\sqrt{3})}^{3}}{4}$
10727	Simplify	(( square root of b)/(3ab))/(1/(a^2)+1/(ab^2))	$\frac{\frac{\sqrt{b}}{3 a b}}{\frac{1}{a^{2}} + \frac{1}{a b^{2}}}$
10728	Simplify	(( cube root of y-2)^2)/(( fifth root of y-2)^2)	$\frac{{(\sqrt[3]{y - 2})}^{2}}{{(\sqrt[5]{y - 2})}^{2}}$
10729	Simplify	(y^2+y^3)/(2^2)	$\frac{y^{2} + y^{3}}{2^{2}}$
10730	Simplify	((y^2+7y+6)/(y-5))/((y^2-8y-9)/(y-5))	$\frac{\frac{y^{2} + 7 y + 6}{y - 5}}{\frac{y^{2} - 8 y - 9}{y - 5}}$
10731	Simplify	((y^2-10y+25)/(y^2-2y-35))/((y^2-25)/9)	$\frac{\frac{y^{2} - 10 y + 25}{y^{2} - 2 y - 35}}{\frac{y^{2} - 25}{9}}$
10732	Simplify	((y^2-2y-24)/(y^2-y-20))/((y^2+10y+21)/(y^2-2y-15))	$\frac{\frac{y^{2} - 2 y - 24}{y^{2} - y - 20}}{\frac{y^{2} + 10 y + 21}{y^{2} - 2 y - 15}}$
10733	Simplify	((y^2-5y-6)/(y^2-49))/((y-6)/(y-6))	$\frac{\frac{y^{2} - 5 y - 6}{y^{2} - 49}}{\frac{y - 6}{y - 6}}$
10734	Simplify	((z^2-w^2)/(z^3-w^3))/((z^2+zw+w^2)/(z^2+2zw+w^2))	$\frac{\frac{z^{2} - w^{2}}{z^{3} - w^{3}}}{\frac{z^{2} + z w + w^{2}}{z^{2} + 2 z w + w^{2}}}$
10735	Simplify	((z^(2-12z+35))/(z+1))/((z^2+3z-40)/(z-1))	$\frac{\frac{z^{2 - 12 z + 35}}{z + 1}}{\frac{z^{2} + 3 z - 40}{z - 1}}$
10736	Simplify	(1/(u^2)-1/(v^2))/(7/u+7/v)	$\frac{\frac{1}{u^{2}} - \frac{1}{v^{2}}}{\frac{7}{u} + \frac{7}{v}}$
10737	Simplify	(1/( square root of z+h)-1/z)/h	$\frac{\frac{1}{\sqrt{z + h}} - \frac{1}{z}}{h}$
10738	Simplify	(1/(y^2)+2/3)/(1/y-5/6)	$\frac{\frac{1}{y^{2}} + \frac{2}{3}}{\frac{1}{y} - \frac{5}{6}}$
10739	Simplify	(1/2-1/y)/((2-y)/2)	$\frac{\frac{1}{2} - \frac{1}{y}}{\frac{2 - y}{2}}$
10740	Simplify	(1/2)/(4/( square root of 3))	$\frac{\frac{1}{2}}{\frac{4}{\sqrt{3}}}$
10741	Simplify	(1/5(1c+1))/(1/10(c^2-2c-3))	$\frac{\frac{1}{5} \cdot (1 c + 1)}{\frac{1}{10} \cdot (c^{2} - 2 c - 3)}$
10742	Simplify	((-8)^-2d^-6)/(5c^-1)	$\frac{{(- 8)}^{- 2} d^{- 6}}{5 c^{- 1}}$
10743	Simplify	((-8k^3b^2)^2)/((9k^5b^7)^2)	$\frac{{(- 8 k^{3} b^{2})}^{2}}{{(9 k^{5} b^{7})}^{2}}$
10744	Simplify	((a+b)^3+(a-b)^3)/(a(a^2+3b^2))	$\frac{{(a + b)}^{3} + {(a - b)}^{3}}{a (a^{2} + 3 b^{2})}$
10745	Simplify	(((m3)/4(n1)/4)^2)/(((m1)/4*n^(-1/2))^3)	$\frac{{(\frac{m \cdot 3}{4} \cdot \frac{n \cdot 1}{4})}^{2}}{{(\frac{m \cdot 1}{4} \cdot n^{- \frac{1}{2}})}^{3}}$
10746	Simplify	((m+n)^2)/(8m+8n)	$\frac{{(m + n)}^{2}}{8 m + 8 n}$
10747	Simplify	((v-v)^-1)/((v+v)^-1)	$\frac{{(v - v)}^{- 1}}{{(v + v)}^{- 1}}$
10748	Simplify	(((y-7)^2)/2)÷((2y-14)/4)	$\frac{{(y - 7)}^{2}}{2} \div \frac{2 y - 14}{4}$
10749	Simplify	(((a-3^2)/(a^2-5))/(9-a^2))/(2a-10)	$\frac{\frac{\frac{a - 3^{2}}{a^{2} - 5}}{9 - a^{2}}}{2 a - 10}$
10750	Simplify	(((p^2-2p-3)/(2p^2-5p-3))/(p^2+p))/(p^2+p-12)	$\frac{\frac{\frac{p^{2} - 2 p - 3}{2 p^{2} - 5 p - 3}}{p^{2} + p}}{p^{2} + p - 12}$
10751	Simplify	(2 square root of 5-3 square root of 3)(2 square root of 5+3 square root of 3)	$(2 \sqrt{5} - 3 \sqrt{3}) (2 \sqrt{5} + 3 \sqrt{3})$
10752	Simplify	(2 square root of 6-1)(3+ square root of 3)	$(2 \sqrt{6} - 1) (3 + \sqrt{3})$
10753	Simplify	(2 square root of 7)( square root of 7-6 square root of 3)	$(2 \sqrt{7}) (\sqrt{7 - 6 \sqrt{3}})$
10754	Simplify	( square root of 5-8)( square root of 5+8)	$(\sqrt{5 - 8}) (\sqrt{5 + 8})$
10755	Simplify	( square root of 6- square root of 5i)( square root of 6+ square root of 5i)	$(\sqrt{6} - \sqrt{5 i}) (\sqrt{6} + \sqrt{5 i})$
10756	Simplify	( square root of 6-4)( square root of 6+10)	$(\sqrt{6} - 4) (\sqrt{6} + 10)$
10757	Simplify	( square root of 64)( fourth root of 128)^3	$(\sqrt{64}) {(\sqrt[4]{128})}^{3}$
10758	Simplify	(-(0)- square root of 400)/10	$\frac{- (0) - \sqrt{400}}{10}$
10759	Simplify	(1- square root of 9/4)^2	${(1 - \sqrt{\frac{9}{4}})}^{2}$
10760	Simplify	(1- square root of 11)^2	${(1 - \sqrt{11})}^{2}$
10761	Simplify	(1- square root of 3)^4	${(1 - \sqrt{3})}^{4}$
10762	Simplify	(1+a/((1+a^2)^(1/2)))/(a+(1+a^2)^(1/2))	$\frac{1 + \frac{a}{{(1 + a^{2})}^{\frac{1}{2}}}}{a + {(1 + a^{2})}^{\frac{1}{2}}}$
10763	Simplify	10/( cube root of 5)	$\frac{10}{\sqrt[3]{5}}$
10764	Simplify	(12a^3-4a-8)/(4a)	$\frac{12 a^{3} - 4 a - 8}{4 a}$
10765	Simplify	(14u-42v)/-7	$\frac{14 u - 42 v}{- 7}$
10766	Simplify	(15 square root of 2)^2	${(15 \sqrt{2})}^{2}$
10767	Simplify	(18r^4+9r^3+3r^2)/(9r^3)	$\frac{18 r^{4} + 9 r^{3} + 3 r^{2}}{9 r^{3}}$
10768	Simplify	(18y+12g)/3	$\frac{18 y + 12 g}{3}$
10769	Simplify	(-(-195)- square root of 16^2-4160)/(2(16))	$\frac{- (- 195) - \sqrt{16^{2} - 4 \cdot 16 \cdot 0}}{2 (16)}$
10770	Simplify	(-(-195)+ square root of 16^2-4160)/(2(16))	$\frac{- (- 195) + \sqrt{16^{2} - 4 \cdot 16 \cdot 0}}{2 (16)}$
10771	Simplify	(-2 1/2-(-3 1/4))/-3	$\frac{- 2 \frac{1}{2} - (- 3 \frac{1}{4})}{- 3}$
10772	Simplify	((4756.469)(31536000))/(2p)	$\frac{(4756.469) \cdot (31536000)}{2 \cdot p}$
10773	Simplify	(49a^2b-28ab^2+42ab)/(8ab)	$\frac{49 a^{2} b - 28 a b^{2} + 42 a b}{8 a b}$
10774	Simplify	(-49y^6+14y^4-28y^5)/(-7y^2)	$\frac{- 49 y^{6} + 14 y^{4} - 28 y^{5}}{- 7 y^{2}}$
10775	Simplify	(4ah+2h^2-5h)/5	$\frac{4 a h + 2 h^{2} - 5 h}{5}$
10776	Simplify	(4m)^( square root of 2)	${(4 m)}^{\sqrt{2}}$
10777	Simplify	(4p-m)/4	$\frac{4 p - m}{4}$
10778	Simplify	(5a^5b^4*(-4a^-5))/(-3b^-2)	$\frac{5 a^{5} b^{4} \cdot (- 4 a^{- 5})}{- 3 b^{- 2}}$
10779	Simplify	(5s^5y^4z)/(30s^3yz^2)	$\frac{5 s^{5} y^{4} z}{30 s^{3} y z^{2}}$
10780	Simplify	(5 cube root of 10y^2)/(3 cube root of 4y^2)	$\frac{5 \sqrt[3]{10 y^{2}}}{3 \sqrt[3]{4 y^{2}}}$
10781	Simplify	(5000-y)/20	$\frac{5000 - y}{20}$
10782	Simplify	((-5-7(3+h)^2)-(3+h))/h	$\frac{(- 5 - 7 {(3 + h)}^{2}) - (3 + h)}{h}$
10783	Simplify	(5y-8)/5	$\frac{5 y - 8}{5}$
10784	Simplify	(-6- square root of -12)/48	$\frac{- 6 - \sqrt{- 12}}{48}$
10785	Simplify	(6 square root of 25)^2	${(6 \sqrt{25})}^{2}$
10786	Simplify	(6w^4)/(2u^6w^3-6w^6t^6)	$\frac{6 w^{4}}{2 u^{6} w^{3} - 6 w^{6} t^{6}}$
10787	Simplify	(6z^3-7z^2-11z+12)/(2z-3)	$\frac{6 z^{3} - 7 z^{2} - 11 z + 12}{2 z - 3}$
10788	Simplify	(6+ square root of 10)^2	${(6 + \sqrt{10})}^{2}$
10789	Simplify	(6a-5)/((2a)/((a-1)/(4a)))	$\frac{6 a - 5}{\frac{2 a}{\frac{a - 1}{4 a}}}$
10790	Simplify	(-7m^4+15m^3-12m^2+(3m^5-12m-7m^3))/(m-6)	$\frac{- 7 m^{4} + 15 m^{3} - 12 m^{2} + (3 m^{5} - 12 m - 7 m^{3})}{m - 6}$
10791	Simplify	(7 square root of 5)^2	${(7 \sqrt{5})}^{2}$
10792	Simplify	((7-2)/(b-a))÷((49-8)/(a-b))	$\frac{7 - 2}{b - a} \div \frac{49 - 8}{a - b}$
10793	Simplify	(8p^4q^7-9p^5q^6-11pq-4)/(p^2q)	$\frac{8 p^{4} q^{7} - 9 p^{5} q^{6} - 11 p q - 4}{p^{2} q}$
10794	Simplify	(8- square root of 15- square root of 15)/-2	$\frac{8 - \sqrt{15} - \sqrt{15}}{- 2}$
10795	Simplify	(-8w^2+32w)/(w-4)	$\frac{- 8 w^{2} + 32 w}{w - 4}$
10796	Simplify	((84a^2b^5c^7)-2)/((48a^5b^-3c^2)-2)	$\frac{(84 a^{2} b^{5} c^{7}) - 2}{(48 a^{5} b^{- 3} c^{2}) - 2}$
10797	Simplify	(8w-2w^2-6)/(w-1)	$\frac{8 w - 2 w^{2} - 6}{w - 1}$
10798	Simplify	((9-43/8)(4 5/12-4÷2 2/3+(0.3-0.5÷4)*4/7))/(1/24+0.25÷13 1/3)	$\frac{(9 - \frac{43}{8}) (4 \frac{5}{12} - 4 \div 2 \frac{2}{3} + (0.3 - 0.5 \div 4) \cdot \frac{4}{7})}{\frac{1}{24} + 0.25 \div 13 \frac{1}{3}}$
10799	Simplify	(9v^3-59v^2-26v-9)/(v-7)	$\frac{9 v^{3} - 59 v^{2} - 26 v - 9}{v - 7}$
10800	Simplify	(9y^4+10y^2-1)/(y-1/9)	$\frac{9 y^{4} + 10 y^{2} - 1}{y - \frac{1}{9}}$