Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59601	Simplify	( cube root of 2)/( cube root of 54)	$\frac{\sqrt[3]{2}}{\sqrt[3]{54}}$
59602	Simplify	( cube root of 25)/( cube root of 5)	$\frac{\sqrt[3]{25}}{\sqrt[3]{5}}$
59603	Simplify	( fourth root of 208)/( fourth root of 13)	$\frac{\sqrt[4]{208}}{\sqrt[4]{13}}$
59604	Simplify	( fifth root of 32)/( fifth root of 243)	$\frac{\sqrt[5]{32}}{\sqrt[5]{243}}$
59605	Simplify	( sixth root of y)^3*( sixth root of y)^3	${(\sqrt[6]{y})}^{3} \cdot {(\sqrt[6]{y})}^{3}$
59606	Simplify	(w^2)/(w-9)+(w-90)/(w-9)	$\frac{w^{2}}{w - 9} + \frac{w - 90}{w - 9}$
59607	Simplify	(w^2+2)/(w+7)+(5-w^2)/(w+7)	$\frac{w^{2} + 2}{w + 7} + \frac{5 - w^{2}}{w + 7}$
59608	Simplify	(w^2+3)/(2w+2)+w/2	$\frac{w^{2} + 3}{2 w + 2} + \frac{w}{2}$
59609	Simplify	(w^2+3w-28)/(6w^2-96)	$\frac{w^{2} + 3 w - 28}{6 w^{2} - 96}$
59610	Simplify	((w^2+6w+9)/12)÷(w+3)	$\frac{w^{2} + 6 w + 9}{12} \div (w + 3)$
59611	Simplify	(w^2+6w-16)/(w^2+16w+64)	$\frac{w^{2} + 6 w - 16}{w^{2} + 16 w + 64}$
59612	Simplify	(w^2+9w-3)/(w^2-4w+3)	$\frac{w^{2} + 9 w - 3}{w^{2} - 4 w + 3}$
59613	Simplify	((w^2-1)/(9w+9))÷((w-1)/3)	$\frac{w^{2} - 1}{9 w + 9} \div \frac{w - 1}{3}$
59614	Simplify	(w^2-2w-63)/(w^2+10w+21)	$\frac{w^{2} - 2 w - 63}{w^{2} + 10 w + 21}$
59615	Simplify	((w^2-36)/(25w+150))÷((w-6)/30)	$\frac{w^{2} - 36}{25 w + 150} \div \frac{w - 6}{30}$
59616	Simplify	((w^2-49)/(9w+63))÷((w-7)/21)	$\frac{w^{2} - 49}{9 w + 63} \div \frac{w - 7}{21}$
59617	Simplify	(w^3)/w	$\frac{w^{3}}{w}$
59618	Simplify	((w^3-1)/((w-1)^2))÷((w^2-1)/(w^2+w+1))	$\frac{w^{3} - 1}{{(w - 1)}^{2}} \div \frac{w^{2} - 1}{w^{2} + w + 1}$
59619	Simplify	((w^3y)/(e^5))÷((w^2y^2)/(e^4))	$\frac{w^{3} y}{e^{5}} \div \frac{w^{2} y^{2}}{e^{4}}$
59620	Simplify	(w^4)/(w^-5)	$\frac{w^{4}}{w^{- 5}}$
59621	Simplify	(w^5)/(w^-5)	$\frac{w^{5}}{w^{- 5}}$
59622	Simplify	(w^9)/w	$\frac{w^{9}}{w}$
59623	Simplify	(w^97)/(w^23)	$\frac{w^{97}}{w^{23}}$
59624	Simplify	(y^(1/2))/((y^2)^(-1/2))*(y^(2/5))/(y^(-3/10))	$\frac{y^{\frac{1}{2}}}{{(y^{2})}^{- \frac{1}{2}}} \cdot \frac{y^{\frac{2}{5}}}{y^{- \frac{3}{10}}}$
59625	Simplify	((s^2)/18)÷((5s^2)/21)	$\frac{s^{2}}{18} \div \frac{5 s^{2}}{21}$
59626	Simplify	((s^2-1)/(4s+4))÷((2s^2-4s+2)/(8s+8))	$\frac{s^{2} - 1}{4 s + 4} \div \frac{2 s^{2} - 4 s + 2}{8 s + 8}$
59627	Simplify	((s^2-16)/(9s+36))÷((3s^2-24s+48)/(27s+108))	$\frac{s^{2} - 16}{9 s + 36} \div \frac{3 s^{2} - 24 s + 48}{27 s + 108}$
59628	Simplify	((s^3-s^2-6s)/(s-5))÷(s^2-s-6)	$\frac{s^{3} - s^{2} - 6 s}{s - 5} \div (s^{2} - s - 6)$
59629	Simplify	(s^3-s^2y)/(sy)*(3y)/(3s-3y)	$\frac{s^{3} - s^{2} y}{s y} \cdot \frac{3 y}{3 s - 3 y}$
59630	Simplify	(s^3)/s	$\frac{s^{3}}{s}$
59631	Simplify	(s^4)/(s^4-1)	$\frac{s^{4}}{s^{4} - 1}$
59632	Simplify	(s^4)/(6y)*(36y^4)/(s^6)	$\frac{s^{4}}{6 y} \cdot \frac{36 y^{4}}{s^{6}}$
59633	Simplify	sin(2)^2(2)*arccos(2s)	$\sin^{2} (2) (2) \cdot \arccos (2 s)$
59634	Simplify	(t/(t+5))/(t/(t+5)+5)	$\frac{\frac{t}{t + 5}}{\frac{t}{t + 5} + 5}$
59635	Simplify	(t^10)/(t^12)	$\frac{t^{10}}{t^{12}}$
59636	Simplify	(t^2)/(t^2)	$\frac{t^{2}}{t^{2}}$
59637	Simplify	(t^2)/(t^3)	$\frac{t^{2}}{t^{3}}$
59638	Simplify	(t^2)/(t+4)	$\frac{t^{2}}{t + 4}$
59639	Simplify	169^(1/2)	$169^{\frac{1}{2}}$
59640	Simplify	((t^2+2)/(t^2+3t))÷((t^2)/(t^2-6t+9))	$\frac{t^{2} + 2}{t^{2} + 3 t} \div \frac{t^{2}}{t^{2} - 6 t + 9}$
59641	Simplify	(t^2+2t-35)/(t^2+3t-40)*(t^2-4t-32)/(t^2+11t+28)	$\frac{t^{2} + 2 t - 35}{t^{2} + 3 t - 40} \cdot \frac{t^{2} - 4 t - 32}{t^{2} + 11 t + 28}$
59642	Simplify	(t^2+3t)/(t^2+13t+42)-(t+35)/(t^2+13t+42)	$\frac{t^{2} + 3 t}{t^{2} + 13 t + 42} - \frac{t + 35}{t^{2} + 13 t + 42}$
59643	Simplify	(t^2+6y)/(t^2-4y)(t^2+4y)/(t^2+6y)(t^2-4y)/(t^2-6y)	$\frac{t^{2} + 6 y}{t^{2} - 4 y} \cdot \frac{t^{2} + 4 y}{t^{2} + 6 y} \cdot \frac{t^{2} - 4 y}{t^{2} - 6 y}$
59644	Simplify	((t^2+8t)/(t^2+7t-8))÷(t/(t+1))	$\frac{t^{2} + 8 t}{t^{2} + 7 t - 8} \div \frac{t}{t + 1}$
59645	Simplify	((t^2-1)/(3t-3))÷(t+1)	$\frac{t^{2} - 1}{3 t - 3} \div (t + 1)$
59646	Simplify	(t^2-16)/((t+4)^2)	$\frac{t^{2} - 16}{{(t + 4)}^{2}}$
59647	Simplify	(t^2-3y)/(5t)	$\frac{t^{2} - 3 y}{5 t}$
59648	Simplify	(t^2-4)/(t^2-11+24)*(5t-2)/(5t+2)	$\frac{t^{2} - 4}{t^{2} - 11 + 24} \cdot \frac{5 t - 2}{5 t + 2}$
59649	Simplify	(t^2-4)/(t+2)	$\frac{t^{2} - 4}{t + 2}$
59650	Simplify	(t^2-7t)/(t^2-6t-7)*(t^2-1)/(t^2)	$\frac{t^{2} - 7 t}{t^{2} - 6 t - 7} \cdot \frac{t^{2} - 1}{t^{2}}$
59651	Simplify	(t^3)/(2 square root of t^2t^3)(2t)+(t^2)/(2 square root of t^2+t^3)(3t^2)	$\frac{t^{3}}{2 \sqrt{t^{2} t^{3}}} \cdot (2 t) + \frac{t^{2}}{2 \sqrt{t^{2} + t^{3}}} \cdot (3 t^{2})$
59652	Simplify	(t^6)/(t^8)	$\frac{t^{6}}{t^{8}}$
59653	Find the Median	Find the median of: 11 , 13 , 5 , 15 , 14	$\frac{\frac{t + d e l t a t}{1 - 3 (t + d e l t a t)}}{d e l t a t} - \frac{\frac{t}{1 - 3 t}}{d e l t a t}$
59654	Simplify	(u^11+99u^8+7u^2+162u^3+144)/(-9u^4)	$\frac{u^{11} + 99 u^{8} + 7 u^{2} + 162 u^{3} + 144}{- 9 u^{4}}$
59655	Simplify	(u^2-y^2)/(2u^2+2uy+u+y)*(2u^2-11u-6)/(yu-6y-u^2+6u)	$\frac{u^{2} - y^{2}}{2 u^{2} + 2 u y + u + y} \cdot \frac{2 u^{2} - 11 u - 6}{y u - 6 y - u^{2} + 6 u}$
59656	Simplify	((u^2)/(4u+8))÷((2u^2-8u+8)/(8u+16))	$\frac{u^{2}}{4 u + 8} \div \frac{2 u^{2} - 8 u + 8}{8 u + 16}$
59657	Simplify	(u^2)/u	$\frac{u^{2}}{u}$
59658	Simplify	(u^2+u-20)/(3u-12)	$\frac{u^{2} + u - 20}{3 u - 12}$
59659	Simplify	(u^2-2u-35)/(6u^2-36u-42)	$\frac{u^{2} - 2 u - 35}{6 u^{2} - 36 u - 42}$
59660	Simplify	(u^2-3u-28)/(2u^2-24u+70)	$\frac{u^{2} - 3 u - 28}{2 u^{2} - 24 u + 70}$
59661	Simplify	(u^2-4u)/(2u+10)	$\frac{u^{2} - 4 u}{2 u + 10}$
59662	Simplify	( square root of 1.3^3* square root of 1.3^2)/( sixth root of 1.3)	$\frac{\sqrt{{1.3}^{3}} \cdot \sqrt{{1.3}^{2}}}{\sqrt[6]{1.3}}$
59663	Simplify	( square root of 10-1)/( square root of 5)	$\frac{\sqrt{10 - 1}}{\sqrt{5}}$
59664	Simplify	( square root of 12)/(3 square root of 15)	$\frac{\sqrt{12}}{3 \sqrt{15}}$
59665	Simplify	( square root of 15)/( square root of 20)	$\frac{\sqrt{15}}{\sqrt{20}}$
59666	Simplify	( square root of -15* square root of -5)/( square root of 3)	$\frac{\sqrt{- 15} \cdot \sqrt{- 5}}{\sqrt{3}}$
59667	Simplify	( square root of 18-12)/3	$\frac{\sqrt{18} - 12}{3}$
59668	Simplify	(- square root of 2- square root of 6)/4	$\frac{- \sqrt{2} - \sqrt{6}}{4}$
59669	Round to the Nearest Tenth	-1.97	$- 1.97$
59670	Simplify	(p^2-q^2)/(r+s)*(5r+5s)/(p-q)	$\frac{p^{2} - q^{2}}{r + s} \cdot \frac{5 r + 5 s}{p - q}$
59671	Simplify	(p^-2)/(q^-8)	$\frac{p^{- 2}}{q^{- 8}}$
59672	Simplify	((p^2+12p+32)/(p^2-2p-24))÷(6p^2+47p-8)	$\frac{p^{2} + 12 p + 32}{p^{2} - 2 p - 24} \div (6 p^{2} + 47 p - 8)$
59673	Simplify	((p^2+3p-4)/(p^2+6p+8))÷(p-1)	$\frac{p^{2} + 3 p - 4}{p^{2} + 6 p + 8} \div (p - 1)$
59674	Simplify	(pi^2+4pi-21)/(8pi)*(pi^2-4pi)/(pi^2+3pi-28)	$\frac{π^{2} + 4 π - 21}{8 π} \cdot \frac{π^{2} - 4 π}{π^{2} + 3 π - 28}$
59675	Simplify	(p^2-16)/(p^2-13p+36)	$\frac{p^{2} - 16}{p^{2} - 13 p + 36}$
59676	Simplify	(p^2-2p-15)/(p^2-25)*(p^2+4p-5)/(5p-5)	$\frac{p^{2} - 2 p - 15}{p^{2} - 25} \cdot \frac{p^{2} + 4 p - 5}{5 p - 5}$
59677	Simplify	(p^2-4)/(3p^2+3pw)*(p^2+6p+pw+6w)/(p^2+8p+12)	$\frac{p^{2} - 4}{3 p^{2} + 3 p w} \cdot \frac{p^{2} + 6 p + p w + 6 w}{p^{2} + 8 p + 12}$
59678	Simplify	(p^2-6p+9)/(2p^2-7p-22)*(p^2-6p-16)/(3p^2-8p-3)	$\frac{p^{2} - 6 p + 9}{2 p^{2} - 7 p - 22} \cdot \frac{p^{2} - 6 p - 16}{3 p^{2} - 8 p - 3}$
59679	Simplify	(p^2-9)/2*(p^2-p-6)/(p^2-6p+9)	$\frac{p^{2} - 9}{2} \cdot \frac{p^{2} - p - 6}{p^{2} - 6 p + 9}$
59680	Simplify	(p^-3q^-1)/(p^-5)	$\frac{p^{- 3} q^{- 1}}{p^{- 5}}$
59681	Simplify	(p^6q^5)/p	$\frac{p^{6} q^{5}}{p}$
59682	Simplify	(p^8)/59	$\frac{p^{8}}{59}$
59683	Simplify	(p^k-1)/(p-1)+p^k	$\frac{p^{k} - 1}{p - 1} + p^{k}$
59684	Simplify	(q^2)/(6q^2-13q+5)*(6q^2-13q+5)	$\frac{q^{2}}{6 q^{2} - 13 q + 5} \cdot (6 q^{2} - 13 q + 5)$
59685	Simplify	((q^2+2qr-3r^2)/(q^2-6qr+5r^2))÷((q^2+4qr+3r^2)/(q^2+4qr-45r^2))	$\frac{q^{2} + 2 q r - 3 r^{2}}{q^{2} - 6 q r + 5 r^{2}} \div \frac{q^{2} + 4 q r + 3 r^{2}}{q^{2} + 4 q r - 45 r^{2}}$
59686	Simplify	(r^-1)/(4r^4)	$\frac{r^{- 1}}{4 r^{4}}$
59687	Simplify	((r^2-s^2)/(r+s))÷(r/(r^2+sr))	$\frac{r^{2} - s^{2}}{r + s} \div \frac{r}{r^{2} + s r}$
59688	Simplify	((r^2s^3)/5)÷((4rs)/15)	$\frac{r^{2} s^{3}}{5} \div \frac{4 r s}{15}$
59689	Simplify	(c^18)/(c^3)	$\frac{c^{18}}{c^{3}}$
59690	Simplify	((c^2+3c)/(a^2-2a)*(ca^2-2ca)/(c^2-9))÷((a^2)/(c-3))	$\frac{c^{2} + 3 c}{a^{2} - 2 a} \cdot \frac{c a^{2} - 2 c a}{c^{2} - 9} \div \frac{a^{2}}{c - 3}$
59691	Simplify	((c^2+3c+2)/(c^2-4c+3))÷((c+2)/(c-3))	$\frac{c^{2} + 3 c + 2}{c^{2} - 4 c + 3} \div \frac{c + 2}{c - 3}$
59692	Simplify	((c^2+7c+12)/(c-9))÷((c^2-2c-24)/(c-9))	$\frac{c^{2} + 7 c + 12}{c - 9} \div \frac{c^{2} - 2 c - 24}{c - 9}$
59693	Simplify	(c^2+9c+20)/(5c-10)*(10c+20)/(c^2-25)	$\frac{c^{2} + 9 c + 20}{5 c - 10} \cdot \frac{10 c + 20}{c^{2} - 25}$
59694	Simplify	(c^2-14c+45)/(c^2-3c-10)*(c^2-4)/(c^2-81)	$\frac{c^{2} - 14 c + 45}{c^{2} - 3 c - 10} \cdot \frac{c^{2} - 4}{c^{2} - 81}$
59695	Simplify	(c^2-16)/(4c-32)*(c^2-64)/(c^2+4c-32)	$\frac{c^{2} - 16}{4 c - 32} \cdot \frac{c^{2} - 64}{c^{2} + 4 c - 32}$
59696	Simplify	(c^2-9)/(c+1)*(4c+4)/(c^2+5c+6)	$\frac{c^{2} - 9}{c + 1} \cdot \frac{4 c + 4}{c^{2} + 5 c + 6}$
59697	Simplify	((c^2-c-6)/(c^2+4c+3))÷((c-3)/(3c+3))	$\frac{c^{2} - c - 6}{c^{2} + 4 c + 3} \div \frac{c - 3}{3 c + 3}$
59698	Simplify	((c^2y)/(5c^2-26cy+5y^2))÷(((5cy^2)^2)/(5c^2y-cy^2))	$\frac{c^{2} y}{5 c^{2} - 26 c y + 5 y^{2}} \div \frac{{(5 c y^{2})}^{2}}{5 c^{2} y - c y^{2}}$
59699	Simplify	(c^3)/(c^2-7cd+49d^2)+(342d^3)/(c^2-7cd+49d^2)	$\frac{c^{3}}{c^{2} - 7 c d + 49 d^{2}} + \frac{342 d^{3}}{c^{2} - 7 c d + 49 d^{2}}$
59700	Simplify	(c^3)/(c^7)*(c^18)/(c^10)	$\frac{c^{3}}{c^{7}} \cdot \frac{c^{18}}{c^{10}}$