Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13601	Find the Domain	1/(x^2-4x-5)	$\frac{1}{x^{2} - 4 x - 5}$
13602	Find the Domain	1/(x^2+3x-18)	$\frac{1}{x^{2} + 3 x - 18}$
13603	Find the Domain	1/2* log of 2x	$\frac{1}{2} \cdot \log (2 x)$
13604	Find the Domain	1/( square root of x^2-9x)	$\frac{1}{\sqrt{x^{2} - 9 x}}$
13605	Find the Domain	( square root of x)/(x^2-11x+10)	$\frac{\sqrt{x}}{x^{2} - 11 x + 10}$
13606	Find the Domain	(x^4)/(x^2+x-42)	$\frac{x^{4}}{x^{2} + x - 42}$
13607	Find the Domain	( square root of x)/(3x-5)	$\frac{\sqrt{x}}{3 x - 5}$
13608	Find the Domain	(8/x)/(10/(x+10))	$\frac{\frac{8}{x}}{\frac{10}{x + 10}}$
13609	Find the Domain	( square root of 4x-16)/( fourth root of (x-4)^3)	$\frac{\sqrt{4 x - 16}}{\sqrt[4]{{(x - 4)}^{3}}}$
13610	Find the Domain	(4/(x+3))/(x/(x+3))	$\frac{\frac{4}{x + 3}}{\frac{x}{x + 3}}$
13611	Find the Domain	( square root of 2+x)/(3-x)	$\frac{\sqrt{2 + x}}{3 - x}$
13612	Find the Domain	(x-6)^2+(y-3)^2=4	${(x - 6)}^{2} + {(y - 3)}^{2} = 4$
13613	Find the Domain	(c^4-16)/(c^2-3c-10)	$\frac{c^{4} - 16}{c^{2} - 3 c - 10}$
13614	Find the Domain	(x^2-3x)/( square root of 4-x)	$\frac{x^{2} - 3 x}{\sqrt{4 - x}}$
13615	Find the Domain	(x-2)^2+(y-3)^2=25	${(x - 2)}^{2} + {(y - 3)}^{2} = 25$
13616	Find the Domain	(3x+3)/(5x+8)	$\frac{3 x + 3}{5 x + 8}$
13617	Find the Domain	(x^3+4x^2-21x)/(x^2-9)	$\frac{x^{3} + 4 x^{2} - 21 x}{x^{2} - 9}$
13618	Find the Domain	(x^2-3x+2)/(x^2+2x)	$\frac{x^{2} - 3 x + 2}{x^{2} + 2 x}$
13619	Find the Domain	(x^2-1)/(x^2-2x+1)	$\frac{x^{2} - 1}{x^{2} - 2 x + 1}$
13620	Find the Domain	(x^2-36)/(x^2-8)	$\frac{x^{2} - 36}{x^{2} - 8}$
13621	Find the Domain	(x^2-2x+1)/(5x-5)	$\frac{x^{2} - 2 x + 1}{5 x - 5}$
13622	Find the Domain	(x^2-5x+4)/(x^2-x-12)*(x^2-9)/(x^2-1)	$\frac{x^{2} - 5 x + 4}{x^{2} - x - 12} \cdot \frac{x^{2} - 9}{x^{2} - 1}$
13623	Find the Domain	(x^2-6x+9)/(4x-12)	$\frac{x^{2} - 6 x + 9}{4 x - 12}$
13624	Find the Domain	(x^2+6x)/(5x^2-1)	$\frac{x^{2} + 6 x}{5 x^{2} - 1}$
13625	Find the Domain	(x^2-1)/(x^4-16)	$\frac{x^{2} - 1}{x^{4} - 16}$
13626	Find the Domain	(x^2-16)/(x-5)	$\frac{x^{2} - 16}{x - 5}$
13627	Find the Domain	(x^2+x-90)/(x^2-x-72)	$\frac{x^{2} + x - 90}{x^{2} - x - 72}$
13628	Find the Domain	(x^2-25)/(x-5)	$\frac{x^{2} - 25}{x - 5}$
13629	Find the Domain	(x^2+1)/(x^2-1)	$\frac{x^{2} + 1}{x^{2} - 1}$
13630	Find the Domain	(x^2+4x+4)/(x^2-4)	$\frac{x^{2} + 4 x + 4}{x^{2} - 4}$
13631	Find the Domain	(x^2)/(x^2+x-72)	$\frac{x^{2}}{x^{2} + x - 72}$
13632	Find the Domain	( square root of x)/(3x^2+2x-1)	$\frac{\sqrt{x}}{3 x^{2} + 2 x - 1}$
13633	Find the Domain	( square root of x)/(5x-6)	$\frac{\sqrt{x}}{5 x - 6}$
13634	Find the Domain	( square root of x)/(7x-2)	$\frac{\sqrt{x}}{7 x - 2}$
13635	Find the Domain	( square root of x+6)/(x-5)	$\frac{\sqrt{x + 6}}{x - 5}$
13636	Find the Domain	( square root of x+9)/((x+3)(x-7))	$\frac{\sqrt{x + 9}}{(x + 3) (x - 7)}$
13637	Find the Domain	x=pi/4	$x = \frac{π}{4}$
13638	Find the Domain	(x^2-5x+6)/(x^2-4)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$
13639	Find the Domain	( square root of 16-x^2)( square root of 1+x)	$(\sqrt{16 - x^{2}}) (\sqrt{1 + x})$
13640	Divide Using Long Polynomial Division	(6a^4b^3+3a^2b^2-12a^2b)/(3ab)	$\frac{6 a^{4} b^{3} + 3 a^{2} b^{2} - 12 a^{2} b}{3 a b}$
13641	Divide Using Long Polynomial Division	(8x^4-10x^3+12x^2+6x+2)/(2x^2+2)	$\frac{8 x^{4} - 10 x^{3} + 12 x^{2} + 6 x + 2}{2 x^{2} + 2}$
13642	Divide Using Long Polynomial Division	(6x^3+2x^2+22x)/(2x^2+5)	$\frac{6 x^{3} + 2 x^{2} + 22 x}{2 x^{2} + 5}$
13643	Divide Using Long Polynomial Division	(6x+5)/(6x^3-43x^2-64x-20)	$\frac{6 x + 5}{6 x^{3} - 43 x^{2} - 64 x - 20}$
13644	Divide Using Long Polynomial Division	(5x^2-17x-12)/(x-4)	$\frac{5 x^{2} - 17 x - 12}{x - 4}$
13645	Divide Using Long Polynomial Division	(4x^3-8x^2+2x-1)/(2x+1)	$\frac{4 x^{3} - 8 x^{2} + 2 x - 1}{2 x + 1}$
13646	Divide Using Long Polynomial Division	(3x^4+2x^2)/(x^2+8x^4+6)	$\frac{3 x^{4} + 2 x^{2}}{x^{2} + 8 x^{4} + 6}$
13647	Divide Using Long Polynomial Division	(4x^4-6x^3+12x^2+6x+4)/(2x^2+2)	$\frac{4 x^{4} - 6 x^{3} + 12 x^{2} + 6 x + 4}{2 x^{2} + 2}$
13648	Simplify	sin(arccos(( square root of 3)/2+arctan(1)))	$\sin (\arccos (\frac{\sqrt{3}}{2} + \arctan (1)))$
13649	Simplify	sin(arccos(- square root of 3/2))	$\sin (\arccos (- \sqrt{\frac{3}{2}}))$
13650	Simplify	sin(2 square root of 3)	$\sin (2 \sqrt{3})$
13651	Simplify	sec( square root of 5/2)	$\sec (\sqrt{\frac{5}{2}})$
13652	Simplify	sin(( square root of 6)/4)	$\sin (\frac{\sqrt{6}}{4})$
13653	Simplify	cot(arcsec( square root of 2))	$\cot (arcsec (\sqrt{2}))$
13654	Simplify	sec(arccos(( square root of 3)/2))	$\sec (\arccos (\frac{\sqrt{3}}{2}))$
13655	Simplify	sec(-( square root of 3)/2)	$\sec (- \frac{\sqrt{3}}{2})$
13656	Simplify	sec(1/(-( square root of 3)/2))	$\sec (\frac{1}{- \frac{\sqrt{3}}{2}})$
13657	Simplify	cot(arcsin(-( square root of 3)/7))	$\cot (\arcsin (- \frac{\sqrt{3}}{7}))$
13658	Simplify	square root of x^2-16	$\sqrt{x^{2} - 16}$
13659	Simplify	cot(arctan(x/( square root of 2)))	$\cot (\arctan (\frac{x}{\sqrt{2}}))$
13660	Simplify	cos(arcsin((2 square root of x)/(1+x)))	$\cos (\arcsin (\frac{2 \sqrt{x}}{1 + x}))$
13661	Simplify	cos(arctan(( square root of 3)/3+arcsin(1/2)))	$\cos (\arctan (\frac{\sqrt{3}}{3} + \arcsin (\frac{1}{2})))$
13662	Simplify	cos(2arccos(( square root of 3)/2))	$\cos (2 \arccos (\frac{\sqrt{3}}{2}))$
13663	Simplify	cos(arctan( square root of 15))	$\cos (\arctan (\sqrt{15}))$
13664	Simplify	cot(( square root of 2)/2)	$\cot (\frac{\sqrt{2}}{2})$
13665	Simplify	cot(arccos(-( square root of 2)/2))	$\cot (\arccos (- \frac{\sqrt{2}}{2}))$
13666	Simplify	arctan( square root of 7)	$\arctan (\sqrt{7})$
13667	Simplify	cos(arcsin( square root of 3/2))	$\cos (\arcsin (\sqrt{\frac{3}{2}}))$
13668	Simplify	cos(arcsin( square root of 1-x^2))	$\cos (\arcsin (\sqrt{1 - x^{2}}))$
13669	Simplify	3i square root of 2	$3 i \sqrt{2}$
13670	Simplify	20 cube root of (6t)/5	$20 \sqrt[3]{\frac{6 t}{5}}$
13671	Simplify	cube root of (16x^2y^4)/(2x^5y)	$\sqrt[3]{\frac{16 x^{2} y^{4}}{2 x^{5} y}}$
13672	Simplify	5i square root of 2	$5 i \sqrt{2}$
13673	Simplify	square root of 64x^2+64y^2	$\sqrt{64 x^{2} + 64 y^{2}}$
13674	Simplify	arccos(9/( square root of 481))	$\arccos (\frac{9}{\sqrt{481}})$
13675	Simplify	arccos(8/( square root of 96))	$\arccos (\frac{8}{\sqrt{96}})$
13676	Simplify	arccos(-36/( square root of 25 square root of 52))	$\arccos (\frac{- 36}{\sqrt{25} \sqrt{52}})$
13677	Simplify	arccos(-2/( square root of 365))	$\arccos (- \frac{2}{\sqrt{365}})$
13678	Simplify	arccos(1/2* square root of 3)	$\arccos (\frac{1}{2} \cdot \sqrt{3})$
13679	Simplify	arctan(-( square root of 3)/2)	$\arctan (- \frac{\sqrt{3}}{2})$
13680	Simplify	arctan( square root of 2/2)	$\arctan (\sqrt{\frac{2}{2}})$
13681	Simplify	square root of 4x^2+4y^2	$\sqrt{4 x^{2} + 4 y^{2}}$
13682	Simplify	arcsec((2( square root of 3))/3)	$arcsec (\frac{2 (\sqrt{3})}{3})$
13683	Simplify	arccsc(( square root of 3)/2)	$arccsc (\frac{\sqrt{3}}{2})$
13684	Simplify	tan(arctan(-( square root of 3)/2))	$\tan (\arctan (- \frac{\sqrt{3}}{2}))$
13685	Simplify	tan( square root of 2)	$\tan (\sqrt{2})$
13686	Simplify	tan(arcsec(- square root of 2))	$\tan (arcsec (- \sqrt{2}))$
13687	Simplify	square root of r^3	$\sqrt{r^{3}}$
13688	Simplify	tan(arccos(2/( square root of 29)))	$\tan (\arccos (\frac{2}{\sqrt{29}}))$
13689	Simplify	tan(-( square root of 11)/5)	$\tan (- \frac{\sqrt{11}}{5})$
13690	Simplify	tan(5/13+( square root of 3)/2)	$\tan (\frac{5}{13} + \frac{\sqrt{3}}{2})$
13691	Simplify	tan((- square root of 3)/2)	$\tan (\frac{- \sqrt{3}}{2})$
13692	Divide Using Synthetic Division	(x^3-9x^2+27x-28)/(x-3)	$\frac{x^{3} - 9 x^{2} + 27 x - 28}{x - 3}$
13693	Divide Using Synthetic Division	(x^2-5)/(x-2)	$\frac{x^{2} - 5}{x - 2}$
13694	Divide Using Synthetic Division	(x^2-5x-12)/(x-3)	$\frac{x^{2} - 5 x - 12}{x - 3}$
13695	Divide Using Synthetic Division	(x^3-125)/(x-5)	$\frac{x^{3} - 125}{x - 5}$
13696	Divide Using Synthetic Division	(x^3-2x-8)/(x+2)	$\frac{x^{3} - 2 x - 8}{x + 2}$
13697	Divide Using Synthetic Division	(x^3-15x^2+68x-96)÷(x-3)	$(x^{3} - 15 x^{2} + 68 x - 96) \div (x - 3)$
13698	Divide Using Synthetic Division	(x^3+4x^2-3x-12)/(x-3)	$\frac{x^{3} + 4 x^{2} - 3 x - 12}{x - 3}$
13699	Divide Using Synthetic Division	(a^2+10a-9)÷(a+4)	$(a^{2} + 10 a - 9) \div (a + 4)$
13700	Divide Using Synthetic Division	(x^2+8x+9)/(x+5)	$\frac{x^{2} + 8 x + 9}{x + 5}$