Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60601	Simplify	(m)^(-1/5)	${(m)}^{- \frac{1}{5}}$
60602	Simplify	((m*1)/4)^20	${(\frac{m \cdot 1}{4})}^{20}$
60603	Simplify	(m+2n)^14	${(m + 2 n)}^{14}$
60604	Simplify	-(m+3)^2	$- {(m + 3)}^{2}$
60605	Simplify	(m+n)^3	${(m + n)}^{3}$
60606	Simplify	(m-3)^2	${(m - 3)}^{2}$
60607	Simplify	(m-3n^2)^2	${(m - 3 n^{2})}^{2}$
60608	Simplify	(m-n+1)^2	${(m - n + 1)}^{2}$
60609	Simplify	(m-t)^2-w^2	${(m - t)}^{2} - w^{2}$
60610	Simplify	(n-1/n)/(1+1/n)	$\frac{n - \frac{1}{n}}{1 + \frac{1}{n}}$
60611	Simplify	(n+2)/3+n/(3n-6)	$\frac{n + 2}{3} + \frac{n}{3 n - 6}$
60612	Simplify	(n-2)*180	$(n - 2) \cdot 180$
60613	Simplify	(n-4)^4	${(n - 4)}^{4}$
60614	Simplify	(np)^-4	${(n p)}^{- 4}$
60615	Simplify	(ob(1-n)^(b-1)e^gh^d)/(1/2*(o(1-n)^be^gh^d))	$\frac{o b {(1 - n)}^{b - 1} e^{g} h^{d}}{\frac{1}{2} \cdot (o {(1 - n)}^{b} e^{g} h^{d})}$
60616	Simplify	(p2945^2)/12((p45^2)/8)	$\frac{p \cdot 29 \cdot 45^{2}}{12} \cdot (\frac{p \cdot 45^{2}}{8})$
60617	Simplify	(p+3)^3	${(p + 3)}^{3}$
60618	Simplify	(p+8)^2	${(p + 8)}^{2}$
60619	Simplify	(p+q)^2-p-q	${(p + q)}^{2} - p - q$
60620	Simplify	((p-2)(p-5))/(p+5)*1/(p+2)	$\frac{(p - 2) (p - 5)}{p + 5} \cdot \frac{1}{p + 2}$
60621	Simplify	(q+8)^2	${(q + 8)}^{2}$
60622	Simplify	((r+2)(r+3))/((r+4)(r-2))*((r+4)(r+7))/((r+2)(r+3))	$\frac{(r + 2) (r + 3)}{(r + 4) (r - 2)} \cdot \frac{(r + 4) (r + 7)}{(r + 2) (r + 3)}$
60623	Simplify	((-r-6)+8)/(r^2-36)	$\frac{(- r - 6) + 8}{r^{2} - 36}$
60624	Simplify	(rf(1+rf)/(1+kf)+rf(kel))/(1-(1+kf*(rf)))	$\frac{r f \cdot \frac{1 + r f}{1 + k f} + r f \cdot (k e l)}{1 - (1 + k f \cdot (r f))}$
60625	Simplify	(r-h)^2	${(r - h)}^{2}$
60626	Simplify	(r-h)^3	${(r - h)}^{3}$
60627	Simplify	cube root of 125xy^2+ cube root of 27x^4y^5	$\sqrt[3]{125 x y^{2}} + \sqrt[3]{27 x^{4} y^{5}}$
60628	Simplify	(sa^2)^3	${(s a^{2})}^{3}$
60629	Simplify	(s+1)^2	${(s + 1)}^{2}$
60630	Simplify	(s-1)^2+1	${(s - 1)}^{2} + 1$
60631	Simplify	(s-2)^2	${(s - 2)}^{2}$
60632	Simplify	(s-7)^7	${(s - 7)}^{7}$
60633	Simplify	(sin(30)cos(60))/(tan(60))+(cos(30)sin(60))/(cot(30))	$\frac{\sin (30) \cdot \cos (60)}{\tan (60)} + \frac{\cos (30) \cdot \sin (60)}{\cot (30)}$
60634	Simplify	((sin(v))*(cos(v)))/((cos(v)^2)-(sin(v)^2))	$\frac{(\sin (v)) \cdot (\cos (v))}{(\cos^{2} (v)) - (\sin^{2} (v))}$
60635	Simplify	(sin(y)+cos(y))^2-1	${(\sin (y) + \cos (y))}^{2} - 1$
60636	Simplify	(s-v)^2	${(s - v)}^{2}$
60637	Simplify	((t+1)(t+2))/((t+3)(t-1))*((t+3)(t+6))/((t+1)(t+2))	$\frac{(t + 1) (t + 2)}{(t + 3) (t - 1)} \cdot \frac{(t + 3) (t + 6)}{(t + 1) (t + 2)}$
60638	Simplify	(-t-2y)^2	${(- t - 2 y)}^{2}$
60639	Simplify	(t-35)^2-(t-10)^2	${(t - 35)}^{2} - {(t - 10)}^{2}$
60640	Simplify	(t-4)^2	${(t - 4)}^{2}$
60641	Simplify	(t-40)^2	${(t - 40)}^{2}$
60642	Simplify	(y-3/4)^2	${(y - \frac{3}{4})}^{2}$
60643	Simplify	(y-4/9)^2	${(y - \frac{4}{9})}^{2}$
60644	Simplify	(y+11)^2	${(y + 11)}^{2}$
60645	Simplify	((y+2)/(5y^2))÷((y^2-4y-5)/(25y^2-5y^3))	$\frac{y + 2}{5 y^{2}} \div \frac{y^{2} - 4 y - 5}{25 y^{2} - 5 y^{3}}$
60646	Simplify	(y+2)^2-5(y+2)+6	${(y + 2)}^{2} - 5 (y + 2) + 6$
60647	Simplify	-(y+2)^2-y(2y+3)	$- {(y + 2)}^{2} - y (2 y + 3)$
60648	Simplify	(y+2)^4*(1-y)^3	${(y + 2)}^{4} \cdot {(1 - y)}^{3}$
60649	Simplify	(y+2)^4(y+2)^5	${(y + 2)}^{4} {(y + 2)}^{5}$
60650	Simplify	(y+2)^5(y+2)^3	${(y + 2)}^{5} {(y + 2)}^{3}$
60651	Simplify	(y+2z)^3	${(y + 2 z)}^{3}$
60652	Simplify	(y+3)^3-(y-3)^2	${(y + 3)}^{3} - {(y - 3)}^{2}$
60653	Simplify	(w-3h)^2	${(w - 3 h)}^{2}$
60654	Simplify	y/(y+1)+1/(y^2+3y+2)	$\frac{y}{y + 1} + \frac{1}{y^{2} + 3 y + 2}$
60655	Simplify	(-y)^-16	${(- y)}^{- 16}$
60656	Simplify	(y)^2	${(y)}^{2}$
60657	Simplify	(-y)^-3	${(- y)}^{- 3}$
60658	Simplify	(-y)^4+6(-y)^2+5	${(- y)}^{4} + 6 {(- y)}^{2} + 5$
60659	Simplify	(u-7)^2	${(u - 7)}^{2}$
60660	Simplify	(u-v)^3	${(u - v)}^{3}$
60661	Simplify	(( square root of 2)/9)^3	${(\frac{\sqrt{2}}{9})}^{3}$
60662	Simplify	(v+2z)^2	${(v + 2 z)}^{2}$
60663	Simplify	(v-2)^3	${(v - 2)}^{3}$
60664	Simplify	(v-3)^2	${(v - 3)}^{2}$
60665	Simplify	((w+2)(w+2))/8*72/((w+2)(w-2))	$\frac{(w + 2) (w + 2)}{8} \cdot \frac{72}{(w + 2) (w - 2)}$
60666	Simplify	(w+2)^2-(w+7)^2	${(w + 2)}^{2} - {(w + 7)}^{2}$
60667	Simplify	(-a-7b+2)^7ab	${(- a - 7 b + 2)}^{7} a b$
60668	Simplify	(a-8)^2	${(a - 8)}^{2}$
60669	Simplify	(a-b)/(ab)+(b-c)/(bc)	$\frac{a - b}{a b} + \frac{b - c}{b c}$
60670	Simplify	(2a-5)^2	${(2 a - 5)}^{2}$
60671	Simplify	(2ab)^3	${(2 a b)}^{3}$
60672	Simplify	cube root of 125xy^2+ cube root of 64x^4y^5	$\sqrt[3]{125 x y^{2}} + \sqrt[3]{64 x^{4} y^{5}}$
60673	Simplify	(a^2+2a-15)/(12u)*(au-2u)/(a^2+3a-10)	$\frac{a^{2} + 2 a - 15}{12 u} \cdot \frac{a u - 2 u}{a^{2} + 3 a - 10}$
60674	Simplify	(a^2+2ab+b^2)/(3a+3b)	$\frac{a^{2} + 2 a b + b^{2}}{3 a + 3 b}$
60675	Simplify	(a^2+3a)/(3a-9)*(a^2-a-6)/(2a^2+6a)	$\frac{a^{2} + 3 a}{3 a - 9} \cdot \frac{a^{2} - a - 6}{2 a^{2} + 6 a}$
60676	Simplify	(a^2+7)/(a^2-25)*(a^3-3a^2+7a-21)/(a^2+2a-15)	$\frac{a^{2} + 7}{a^{2} - 25} \cdot \frac{a^{3} - 3 a^{2} + 7 a - 21}{a^{2} + 2 a - 15}$
60677	Simplify	((a^2+7a+12)/(a^2-9))÷((a^2-7a+12)/(a^2-16))	$\frac{a^{2} + 7 a + 12}{a^{2} - 9} \div \frac{a^{2} - 7 a + 12}{a^{2} - 16}$
60678	Simplify	(a^2+ab)/(b^2)*(2b)/(a^2)	$\frac{a^{2} + a b}{b^{2}} \cdot \frac{2 b}{a^{2}}$
60679	Simplify	(a^2-16)/(a+4)	$\frac{a^{2} - 16}{a + 4}$
60680	Simplify	((a^2-2b^2)/(a-b)*(a-b)/4)÷((a+b)/(16b))	$\frac{a^{2} - 2 b^{2}}{a - b} \cdot \frac{a - b}{4} \div \frac{a + b}{16 b}$
60681	Simplify	(a^2-2ab+b^2)/(a^2-b^2)	$\frac{a^{2} - 2 a b + b^{2}}{a^{2} - b^{2}}$
60682	Simplify	(a^2-36)/(10a)*((2a)/(a+6))	$\frac{a^{2} - 36}{10 a} \cdot (\frac{2 a}{a + 6})$
60683	Simplify	(a^2-4a-21)/(a^(2-6)a+8)*(a-4)/(a^2-2a-35)	$\frac{a^{2} - 4 a - 21}{a^{2 - 6} a + 8} \cdot \frac{a - 4}{a^{2} - 2 a - 35}$
60684	Simplify	((a^2-64b^2)/(a+8b))÷(a+8b)*(5b)/(a-8b)	$\frac{a^{2} - 64 b^{2}}{a + 8 b} \div (a + 8 b) \cdot \frac{5 b}{a - 8 b}$
60685	Simplify	(a^2-64)/(4a-20)*(a^2+16a+64)/(a^2+3a-40)	$\frac{a^{2} - 64}{4 a - 20} \cdot \frac{a^{2} + 16 a + 64}{a^{2} + 3 a - 40}$
60686	Simplify	((a^2-6a)/-4)÷((a-6)/a)	$\frac{a^{2} - 6 a}{- 4} \div \frac{a - 6}{a}$
60687	Simplify	(a^2-6a+8)/(a^2-a-12)*(a^2-9)/(a^2-4)	$\frac{a^{2} - 6 a + 8}{a^{2} - a - 12} \cdot \frac{a^{2} - 9}{a^{2} - 4}$
60688	Simplify	((a^2-6a+9)/(a^2-a-12))÷((a^2-a-6)/(a^2+4a+4))	$\frac{a^{2} - 6 a + 9}{a^{2} - a - 12} \div \frac{a^{2} - a - 6}{a^{2} + 4 a + 4}$
60689	Simplify	((a^2-7a-18)/(4a^3))÷((a^2-4a-45)/(2a^3-4a^2))*(a^2+3a-10)/(a^2-4a+4)	$\frac{a^{2} - 7 a - 18}{4 a^{3}} \div \frac{a^{2} - 4 a - 45}{2 a^{3} - 4 a^{2}} \cdot \frac{a^{2} + 3 a - 10}{a^{2} - 4 a + 4}$
60690	Simplify	((a^2-8a)/-6)÷((a-8)/a)	$\frac{a^{2} - 8 a}{- 6} \div \frac{a - 8}{a}$
60691	Simplify	(a^2-a-6)/(a^2+3a+2)	$\frac{a^{2} - a - 6}{a^{2} + 3 a + 2}$
60692	Simplify	(a^2-a-6)/(a^2-27)*(a^2+3a+9)/6	$\frac{a^{2} - a - 6}{a^{2} - 27} \cdot \frac{a^{2} + 3 a + 9}{6}$
60693	Simplify	(a^2-a-9)/(a-2)	$\frac{a^{2} - a - 9}{a - 2}$
60694	Simplify	(a^2b+3ab^2+2b)/(ab)	$\frac{a^{2} b + 3 a b^{2} + 2 b}{a b}$
60695	Simplify	(a^28)/(a^19)	$\frac{a^{28}}{a^{19}}$
60696	Simplify	((a^(2-9))/(8a+24))÷((3-a)/8)	$\frac{a^{2 - 9}}{8 a + 24} \div \frac{3 - a}{8}$
60697	Simplify	(a^3b^(-1/2))/(ab^(-3/2))	$\frac{a^{3} b^{\frac{- 1}{2}}}{a b^{\frac{- 3}{2}}}$
60698	Simplify	(a^3b^-2)/(a^4b^-3)*(-(5a)/(2b))^3	$\frac{a^{3} b^{- 2}}{a^{4} b^{- 3}} \cdot {(- \frac{5 a}{2 b})}^{3}$
60699	Simplify	(a^3b^3)/c*c/(a^3b^2)	$\frac{a^{3} b^{3}}{c} \cdot \frac{c}{a^{3} b^{2}}$
60700	Simplify	(a^3)/(a^2)	$\frac{a^{3}}{a^{2}}$