Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20801	Find the Domain	\|5x\|=30	$\| 5 x \| = 30$
20802	Find the Domain	1/2*(3 2/3+1 1/6)+4 1/3	$\frac{1}{2} \cdot (3 \frac{2}{3} + 1 \frac{1}{6}) + 4 \frac{1}{3}$
20803	Find the Domain	1/3*(2 log of x-1- log of x-4- log of x^2-x-3 log of x+3)	$\frac{1}{3} \cdot (2 \log (x - 1) - \log (x - 4) - \log (x^{2} - x) - 3 \log (x + 3))$
20804	Find the Domain	1/(sin(2a))-tan(a)=cot(2a)	$\frac{1}{\sin (2 a)} - \tan (a) = \cot (2 a)$
20805	Find the Domain	(10z^4)/(11r^3)*(121r^5)/(100z)	$\frac{10 z^{4}}{11 r^{3}} \cdot \frac{121 r^{5}}{100 z}$
20806	Find the Domain	16/(x^2+6x-91)	$\frac{16}{x^{2} + 6 x - 91}$
20807	Find the Domain	(2x^2+x+1)/(2x-1)	$\frac{2 x^{2} + x + 1}{2 x - 1}$
20808	Find the Domain	(2a)/(51x^6y)*(17x^7y)	$\frac{2 a}{51 x^{6} y} \cdot (17 x^{7} y)$
20809	Find the Domain	-2n^(2n)	$- 2 n^{2 n}$
20810	Find the Domain	(2x)/( cube root of 3x^2)	$\frac{2 x}{\sqrt[3]{3 x^{2}}}$
20811	Find the Domain	(2x-10)/(3x-15)	$\frac{2 x - 10}{3 x - 15}$
20812	Find the Domain	(2-z)/(z-2)	$\frac{2 - z}{z - 2}$
20813	Find the Domain	(3 cube root of q)/(1-q)	$\frac{3 \sqrt[3]{q}}{1 - q}$
20814	Find the Domain	(3x-6)/7*(7x-14)/2	$\frac{3 x - 6}{7} \cdot \frac{7 x - 14}{2}$
20815	Find the Domain	(3x-8)/5	$\frac{3 x - 8}{5}$
20816	Find the Domain	(4-5j)/(2-j)	$\frac{4 - 5 j}{2 - j}$
20817	Find the Domain	(4b)/(3a^4)*(a^5b)/(10b^3)	$\frac{4 b}{3 a^{4}} \cdot \frac{a^{5} b}{10 b^{3}}$
20818	Find the Domain	(4m+16)/10*(3m+12)/18	$\frac{4 m + 16}{10} \cdot \frac{3 m + 12}{18}$
20819	Find the Domain	(4sin(A)cos(A)cos(2A)*sin(15))/(sin(2A)(tan(225)-2sin(A)^2))	$\frac{4 \sin (A) \cdot \cos (A) \cdot \cos (2 A) \cdot \sin (15)}{\sin (2 A) (\tan (225) - 2 \sin^{2} (A))}$
20820	Find the Domain	(4x)/(x-7)	$\frac{4 x}{x - 7}$
20821	Find the Domain	4x^2-kx+25	$4 x^{2} - k x + 25$
20822	Find the Domain	(4x+2)/(4x^2-8)	$\frac{4 x + 2}{4 x^{2} - 8}$
20823	Find the Domain	5/6+y=1 3/4	$\frac{5}{6} + y = 1 \frac{3}{4}$
20824	Find the Domain	(5x)/(x-9)	$\frac{5 x}{x - 9}$
20825	Find the Domain	(5a+35)/(a^2-49)	$\frac{5 a + 35}{a^{2} - 49}$
20826	Find the Domain	(64-n^2)/(n^2-4n-32)	$\frac{64 - n^{2}}{n^{2} - 4 n - 32}$
20827	Find the Domain	(-6x+3)/(7x^2+2)	$\frac{- 6 x + 3}{7 x^{2} + 2}$
20828	Find the Domain	(6x-5)/2	$\frac{6 x - 5}{2}$
20829	Find the Domain	(7x^2-9x)/(x^2-4x-7)	$\frac{7 x^{2} - 9 x}{x^{2} - 4 x - 7}$
20830	Find the Domain	7/9*(9/7z)	$\frac{7}{9} \cdot (\frac{9}{7} z)$
20831	Find the Domain	e^(2 natural log of (1/( square root of -x))+3)	$e^{2 \ln ((\frac{1}{\sqrt{- x}}) + 3)}$
20832	Find the Domain	e^3.22	$e^{3.22}$
20833	Find the Domain	i^6	$i^{6}$
20834	Find the Domain	natural log of ((3x-2)/(3x+1))^(2x-1)	$\ln ({(\frac{3 x - 2}{3 x + 1})}^{2 x - 1})$
20835	Find the Domain	( natural log of 3x)/(x-1)	$\frac{\ln (3 x)}{x - 1}$
20836	Find the Domain	( natural log of x)/x	$\frac{\ln (x)}{x}$
20837	Find the Domain	- log base 2 of x^2+1	$- \log_{2} (x^{2} + 1)$
20838	Find the Domain	log base 2 of 182-2 log base 2 of square root of 5-x = log base 2 of 11-x+1	$\log_{2} (182) - 2 \log_{2} (\sqrt{5 - x}) = \log_{2} (11 - x) + 1$
20839	Find the Domain	log base 3 of 5x+1	$\log_{3} (5 x + 1)$
20840	Find the Domain	log base 5 of 3x^(1/2)	$\log_{5} (3 x^{\frac{1}{2}})$
20841	Find the Domain	log base 8 of x=3	$\log_{8} (x) = 3$
20842	Find the Domain	log base x of 27=-3	$\log_{x} (27) = - 3$
20843	Find the Domain	(m-4)/(5-m)	$\frac{m - 4}{5 - m}$
20844	Find the Domain	n^5*n^2	$n^{5} \cdot n^{2}$
20845	Find the Domain	R^2+(-3)R	$R^{2} + (- 3) R$
20846	Find the Domain	(t-3)/(2- square root of t)	$\frac{t - 3}{2 - \sqrt{t}}$
20847	Find the Domain	(tan(x))/(tan(x)+cot(x))	$\frac{\tan (x)}{\tan (x) + \cot (x)}$
20848	Find the Domain	square root of (x-1)^2+2x=0	$\sqrt{{(x - 1)}^{2}} + 2 x = 0$
20849	Find the Domain	- square root of x^2+8x+32	$- \sqrt{x^{2} + 8 x + 32}$
20850	Find the Domain	square root of 2x( square root of 8x- square root of 32)	$\sqrt{2 x} (\sqrt{8 x - \sqrt{32}})$
20851	Find the Domain	square root of 2x+33+9=x+8	$\sqrt{2 x} + 33 + 9 = x + 8$
20852	Find the Domain	square root of 4x+20	$\sqrt{4 x + 20}$
20853	Find the Domain	cube root of 2x^2+4	$\sqrt[3]{2 x^{2} + 4}$
20854	Find the Domain	cube root of 6-3z- cube root of 6z+2=0	$\sqrt[3]{6 - 3 z} - \sqrt[3]{6 z} + 2 = 0$
20855	Find the Domain	fourth root of 16x^12	$\sqrt[4]{16 x^{12}}$
20856	Find the Domain	fifth root of a^6* cube root of a^5	$\sqrt[5]{a^{6}} \cdot \sqrt[3]{a^{5}}$
20857	Find the Domain	seventh root of x^5	$\sqrt[7]{x^{5}}$
20858	Find the Domain	x/10	$\frac{x}{10}$
20859	Find the Domain	x/(x-y)=0	$\frac{x}{x - y} = 0$
20860	Find the Domain	x^2-y^2=1	$x^{2} - y^{2} = 1$
20861	Find the Domain	x^2+(y- cube root of x^2)^2=1	$x^{2} + {(y - \sqrt[3]{x^{2}})}^{2} = 1$
20862	Find the Domain	x^2+22x+c	$x^{2} + 22 x + c$
20863	Find the Domain	x^2+3x-1	$x^{2} + 3 x - 1$
20864	Find the Domain	x^2+3x-8	$x^{2} + 3 x - 8$
20865	Divide Using Long Polynomial Division	(x^4+3x^2+5)/(x-c)	$\frac{x^{4} + 3 x^{2} + 5}{x - c}$
20866	Divide Using Long Polynomial Division	(15p-3)/6*(10p-2)/3	$\frac{15 p - 3}{6} \cdot \frac{10 p - 2}{3}$
20867	Divide Using Long Polynomial Division	(-2x^3-4x-3)/(x-2)	$\frac{- 2 x^{3} - 4 x - 3}{x - 2}$
20868	Divide Using Long Polynomial Division	(-2-18x^4-10x^2+14x)/(3x^2-2x-1)	$\frac{- 2 - 18 x^{4} - 10 x^{2} + 14 x}{3 x^{2} - 2 x - 1}$
20869	Divide Using Long Polynomial Division	(3x^3+2x^2-19x+6)/(3x-5)	$\frac{3 x^{3} + 2 x^{2} - 19 x + 6}{3 x - 5}$
20870	Divide Using Long Polynomial Division	(32a^3+21)/(4a-2)	$\frac{32 a^{3} + 21}{4 a - 2}$
20871	Divide Using Long Polynomial Division	(35b^2-74b+35)/(5b-7)	$\frac{35 b^{2} - 74 b + 35}{5 b - 7}$
20872	Divide Using Long Polynomial Division	(4x^3-7x^2-11x+5)/(4x+5)	$\frac{4 x^{3} - 7 x^{2} - 11 x + 5}{4 x + 5}$
20873	Divide Using Long Polynomial Division	(42x^2-33)/(7x+7)	$\frac{42 x^{2} - 33}{7 x + 7}$
20874	Divide Using Long Polynomial Division	(6x^3+2x^2-11x+12)/(3x+4)	$\frac{6 x^{3} + 2 x^{2} - 11 x + 12}{3 x + 4}$
20875	Divide Using Long Polynomial Division	(6x^4+12x^3-10x^2)/(3x^2+1)	$\frac{6 x^{4} + 12 x^{3} - 10 x^{2}}{3 x^{2} + 1}$
20876	Divide Using Long Polynomial Division	(8x^3+4x^2-20x-8)/(2x-4)	$\frac{8 x^{3} + 4 x^{2} - 20 x - 8}{2 x - 4}$
20877	Divide Using Long Polynomial Division	(8x^5-7x^2+3x+3)/(4x^3-1)	$\frac{8 x^{5} - 7 x^{2} + 3 x + 3}{4 x^{3} - 1}$
20878	Divide Using Long Polynomial Division	((n+2)(2n-1))/(n^2)	$\frac{(n + 2) (2 n - 1)}{n^{2}}$
20879	Divide Using Long Polynomial Division	(x^2-9)/(x^3+2x^2-45)	$\frac{x^{2} - 9}{x^{3} + 2 x^{2} - 45}$
20880	Divide Using Long Polynomial Division	(w^2-5w)/(w-5)	$\frac{w^{2} - 5 w}{w - 5}$
20881	Divide Using Long Polynomial Division	(x^2-x-30)/(x^2-1)	$\frac{x^{2} - x - 30}{x^{2} - 1}$
20882	Divide Using Long Polynomial Division	(x^3-2x^2+3x+6)/(x^2-3x+6)	$\frac{x^{3} - 2 x^{2} + 3 x + 6}{x^{2} - 3 x + 6}$
20883	Divide Using Long Polynomial Division	(x^4+3x^3+24x^2+192x-2560)/(x^2+64)	$\frac{x^{4} + 3 x^{3} + 24 x^{2} + 192 x - 2560}{x^{2} + 64}$
20884	Divide Using Long Polynomial Division	(x^4-3x^3-18x^2+162x-324)/(x^2-6x+18)	$\frac{x^{4} - 3 x^{3} - 18 x^{2} + 162 x - 324}{x^{2} - 6 x + 18}$
20885	Divide Using Long Polynomial Division	(x^4-3x^3-21x^2+43x+60)/(x^4-6x^3+x^2+24x-20)	$\frac{x^{4} - 3 x^{3} - 21 x^{2} + 43 x + 60}{x^{4} - 6 x^{3} + x^{2} + 24 x - 20}$
20886	Divide Using Long Polynomial Division	(x^4-9x^3+95x^2-729x+1134)/(x^2+81)	$\frac{x^{4} - 9 x^{3} + 95 x^{2} - 729 x + 1134}{x^{2} + 81}$
20887	Divide Using Long Polynomial Division	1/(1+u)	$\frac{1}{1 + u}$
20888	Divide Using Long Polynomial Division	(10x^3+11x^2+9x+1)/(5x-2)	$\frac{10 x^{3} + 11 x^{2} + 9 x + 1}{5 x - 2}$
20889	Divide Using Long Polynomial Division	(-15x^9+25x^6)/(-5x^3)	$\frac{- 15 x^{9} + 25 x^{6}}{- 5 x^{3}}$
20890	Divide Using Long Polynomial Division	(18p^3q^5-9p^4q^6+21p^9q)/(9p^5q)	$\frac{18 p^{3} q^{5} - 9 p^{4} q^{6} + 21 p^{9} q}{9 p^{5} q}$
20891	Divide Using Long Polynomial Division	(27x^3+6ix^2+18x+4i)/(9x+2i)	$\frac{27 x^{3} + 6 i x^{2} + 18 x + 4 i}{9 x + 2 i}$
20892	Divide Using Long Polynomial Division	(3x^3+4x^2-2x-1)/(x+4)	$\frac{3 x^{3} + 4 x^{2} - 2 x - 1}{x + 4}$
20893	Divide Using Long Polynomial Division	(3x^3-3x^2-2x-8)/(x-2)	$\frac{3 x^{3} - 3 x^{2} - 2 x - 8}{x - 2}$
20894	Divide Using Long Polynomial Division	(3x^3-8x^2+x-1)/(x-5)	$\frac{3 x^{3} - 8 x^{2} + x - 1}{x - 5}$
20895	Divide Using Long Polynomial Division	(3x-1)/(18x^3+24x^2+8)	$\frac{3 x - 1}{18 x^{3} + 24 x^{2} + 8}$
20896	Divide Using Long Polynomial Division	(4m^3+10m^2+4m)/(2m^2)	$\frac{4 m^{3} + 10 m^{2} + 4 m}{2 m^{2}}$
20897	Divide Using Long Polynomial Division	(4x^3+21x^2-42x+49)/(x+7)	$\frac{4 x^{3} + 21 x^{2} - 42 x + 49}{x + 7}$
20898	Divide Using Long Polynomial Division	(4x^3-19x^2-58x-35)/(4x+5)	$\frac{4 x^{3} - 19 x^{2} - 58 x - 35}{4 x + 5}$
20899	Divide Using Long Polynomial Division	(5x^4-3x^2+x+1)/(x^2+2)	$\frac{5 x^{4} - 3 x^{2} + x + 1}{x^{2} + 2}$
20900	Divide Using Long Polynomial Division	(5a+35)/(a^2-49)	$\frac{5 a + 35}{a^{2} - 49}$