Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
109001	Simplify	(4x-4)/(4x+4)	$\frac{4 x - 4}{4 x + 4}$
109002	Add	(5x)/(2x-3)+(-4x^2)/(3x+1)	$\frac{5 x}{2 x - 3} + \frac{- 4 x^{2}}{3 x + 1}$
109003	Simplify	5/8y-3/8y+2y	$\frac{5}{8} y - \frac{3}{8} y + 2 y$
109004	Find the Roots (Zeros)	y=x^4+x^3-15x^2-16x-16	$y = x^{4} + x^{3} - 15 x^{2} - 16 x - 16$
109005	Simplify	(59x)/99*80/(33x)	$\frac{59 x}{99} \cdot \frac{80}{33 x}$
109006	Find the Slope and y-intercept	x+8y=-8	$x + 8 y = - 8$
109007	Simplify	(5a)/(12bc^2)*(18b^2c^2)/(15a^3)	$\frac{5 a}{12 b c^{2}} \cdot \frac{18 b^{2} c^{2}}{15 a^{3}}$
109008	Simplify	53/43*(46n^2)/31	$\frac{53}{43} \cdot \frac{46 n^{2}}{31}$
109009	Simplify	(5x)/(x^2-x-6)-4/(x^2+4x+4)	$\frac{5 x}{x^{2} - x - 6} - \frac{4}{x^{2} + 4 x + 4}$
109010	Simplify	(5x)/(x^2-9)-(4x)/(x^2+5x+6)	$\frac{5 x}{x^{2} - 9} - \frac{4 x}{x^{2} + 5 x + 6}$
109011	Solve by Completing the Square	x^2+15x=49	$x^{2} + 15 x = 49$
109012	Simplify	(5x)/x	$\frac{5 x}{x}$
109013	Simplify	(5x)/(x+3)+15/(x+3)	$\frac{5 x}{x + 3} + \frac{15}{x + 3}$
109014	Convert to Interval Notation	\|3x-1\|+3>=9	$\| 3 x - 1 \| + 3 \geq 9$
109015	Simplify	(5n+1)/6+(3n-2)/8	$\frac{5 n + 1}{6} + \frac{3 n - 2}{8}$
109016	Convert to Interval Notation	3x^2+16<8x	$3 x^{2} + 16 < 8 x$
109017	Simplify	(5b)/(6a)+(3b)/(10a^2)+2/(ab^2)	$\frac{5 b}{6 a} + \frac{3 b}{10 a^{2}} + \frac{2}{a b^{2}}$
109018	Convert to Interval Notation	\|5x-1\|+4>=9	$\| 5 x - 1 \| + 4 \geq 9$
109019	Simplify	(5x-15)/(x^2-3x)	$\frac{5 x - 15}{x^{2} - 3 x}$
109020	Simplify	(5x+5)/2*4/(40x+40)	$\frac{5 x + 5}{2} \cdot \frac{4}{40 x + 40}$
109021	Simplify	(5x+4)/(x^2-64)+3/(x-8)	$\frac{5 x + 4}{x^{2} - 64} + \frac{3}{x - 8}$
109022	Simplify	(5x-5)/(x^2-1)*((x+3)(x+1))/(x-1)	$\frac{5 x - 5}{x^{2} - 1} \cdot \frac{(x + 3) (x + 1)}{x - 1}$
109023	Simplify	square root of 171	$\sqrt{171}$
109024	Simplify	96/(38n)*25/45	$\frac{96}{38 n} \cdot \frac{25}{45}$
109025	Find the Degree	6x^2+7x^3+8x^5+9	$6 x^{2} + 7 x^{3} + 8 x^{5} + 9$
109026	Simplify	2 square root of 13	$2 \sqrt{13}$
109027	Simplify	a^3b^2*(4ab^3)	$a^{3} b^{2} \cdot (4 a b^{3})$
109028	Simplify	a^(4/7)	$a^{\frac{4}{7}}$
109029	Simplify	a^(2/3)a^(5/3)	$a^{\frac{2}{3}} a^{\frac{5}{3}}$
109030	Simplify	a^(11/3)*a^(5/6)	$a^{\frac{11}{3}} \cdot a^{\frac{5}{6}}$
109031	Simplify	a^(1/2)b^(3/4)	$a^{\frac{1}{2}} b^{\frac{3}{4}}$
109032	Expand the Logarithmic Expression	log base 2 of (a^5b^2)^3	$\log_{2} ({(a^{5} b^{2})}^{3})$
109033	Simplify	a^(7/3)*a^(1/6)	$a^{\frac{7}{3}} \cdot a^{\frac{1}{6}}$
109034	Find the Roots (Zeros)	f(x)=(x-3)(2x-8)	$f (x) = (x - 3) (2 x - 8)$
109035	Simplify	(8x^3*(12xy^7))/(3x^2y^4)-15x^2y^3	$\frac{8 x^{3} \cdot (12 x y^{7})}{3 x^{2} y^{4}} - 15 x^{2} y^{3}$
109036	Simplify	8/3	$\frac{8}{3}$
109037	Simplify	8/x	$\frac{8}{x}$
109038	Simplify	(9x^2-25)/(3x+5)	$\frac{9 x^{2} - 25}{3 x + 5}$
109039	Simplify	9/10	$\frac{9}{10}$
109040	Convert to Interval Notation	3/(2x-1)>-5/x	$\frac{3}{2 x - 1} > \frac{- 5}{x}$
109041	Simplify	(8x)/(4y)*(17y^2)/(16x^3)	$\frac{8 x}{4 y} \cdot \frac{17 y^{2}}{16 x^{3}}$
109042	Convert to Interval Notation	\|3x-2\|>=5	$\| 3 x - 2 \| \geq 5$
109043	Simplify	(8p-8)/p*(8p^2)/(9p-9)	$\frac{8 p - 8}{p} \cdot \frac{8 p^{2}}{9 p - 9}$
109044	Convert to Interval Notation	(3x-5)/(x-5)>=0	$\frac{3 x - 5}{x - 5} \geq 0$
109045	Simplify	6/(4+ square root of 2)	$\frac{6}{4 + \sqrt{2}}$
109046	Simplify	6/(x^2-4)+5/(x+2)-5/(2-x)	$\frac{6}{x^{2} - 4} + \frac{5}{x + 2} - \frac{5}{2 - x}$
109047	Simplify	7/(2xy^2)+3/(8x^2y)	$\frac{7}{2 x y^{2}} + \frac{3}{8 x^{2} y}$
109048	Simplify	7/3*(5x)/12	$\frac{7}{3} \cdot \frac{5 x}{12}$
109049	Simplify	7/( square root of 7)	$\frac{7}{\sqrt{7}}$
109050	Simplify	(7x-14)/(3x+6)*(4x+8)/(6x-12)	$\frac{7 x - 14}{3 x + 6} \cdot \frac{4 x + 8}{6 x - 12}$
109051	Simplify	(7s)/(5t^-3)	$\frac{7 s}{5 t^{- 3}}$
109052	Simplify	square root of 18x+18+ square root of 2x+2	$\sqrt{18 x + 18} + \sqrt{2 x + 2}$
109053	Convert to a Mixed Number	3.81	$3.81$
109054	Simplify	square root of 18y+ square root of 8y	$\sqrt{18 y} + \sqrt{8 y}$
109055	Simplify	square root of 2xy^2* square root of 32xy	$\sqrt{2 x y^{2}} \cdot \sqrt{32 x y}$
109056	Simplify	square root of 16a- square root of 49a+ square root of 81a	$\sqrt{16 a} - \sqrt{49 a} + \sqrt{81 a}$
109057	Find the Domain and Range	x^2+(y-1)^2=64	$x^{2} + {(y - 1)}^{2} = 64$
109058	Simplify	square root of 15x* square root of 20xy	$\sqrt{15 x} \cdot \sqrt{20 x y}$
109059	Solve for x	\|x\|<=1	$\| x \| \leq 1$
109060	Find the Vertex	f(x)=2x^2-3x+3	$f (x) = 2 x^{2} - 3 x + 3$
109061	Simplify	square root of 28z+ square root of 63z	$\sqrt{28 z} + \sqrt{63 z}$
109062	Solve for x	8(4x+8)=-(x-2)	$8 (4 x + 8) = - (x - 2)$
109063	Find the Inverse	y=5^x-9	$y = 5^{x} - 9$
109064	Simplify	square root of 208	$\sqrt{208}$
109065	Simplify	square root of 7/25	$\sqrt{\frac{7}{25}}$
109066	Convert to a Decimal	920%	$920 %$
109067	Simplify	(x^3)/(x^2)	$\frac{x^{3}}{x^{2}}$
109068	Simplify	square root of 10st* square root of 15tu	$\sqrt{10 s t} \cdot \sqrt{15 t u}$
109069	Expand the Logarithmic Expression	log of (6(x+4)^3)/( square root of x^5)	$\log (\frac{6 {(x + 4)}^{3}}{\sqrt{x^{5}}})$
109070	Expand the Logarithmic Expression	log base 5 of (u^4*v)^2	$\log_{5} ({(u^{4} \cdot v)}^{2})$
109071	Find the Roots (Zeros)	h(w)=w^2+13w+42	$h (w) = w^{2} + 13 w + 42$
109072	Simplify	square root of 45x- square root of 20x	$\sqrt{45 x} - \sqrt{20 x}$
109073	Simplify	square root of 4c^3d^3* square root of 8c^3d	$\sqrt{4 c^{3} d^{3}} \cdot \sqrt{8 c^{3} d}$
109074	Simplify	square root of 4xy^2* square root of xy	$\sqrt{4 x y^{2}} \cdot \sqrt{x y}$
109075	Simplify	- square root of 17	$- \sqrt{17}$
109076	Simplify	square root of 30x* square root of 3x^3	$\sqrt{30 x} \cdot \sqrt{3 x^{3}}$
109077	Subtract	180-81	$180 - 81$
109078	Simplify	square root of 3x* square root of 8x^3	$\sqrt{3 x} \cdot \sqrt{8 x^{3}}$
109079	Solve Using the Quadratic Formula	x^2+12x+24=0	$x^{2} + 12 x + 24 = 0$
109080	Simplify	square root of 3x* square root of 51x^3	$\sqrt{3 x} \cdot \sqrt{51 x^{3}}$
109081	Solve Using the Quadratic Formula	9x^2-9x+2=0	$9 x^{2} - 9 x + 2 = 0$
109082	Simplify	square root of 63z- square root of 28z	$\sqrt{63 z} - \sqrt{28 z}$
109083	Simplify	square root of 6m* square root of 3m	$\sqrt{6 m} \cdot \sqrt{3 m}$
109084	Simplify	square root of 50z- square root of 18z	$\sqrt{50 z} - \sqrt{18 z}$
109085	Solve for x	square root of 16-6x=x	$\sqrt{16 - 6 x} = x$
109086	Solve by Completing the Square	x^2=24x+10	$x^{2} = 24 x + 10$
109087	Write as a Single Logarithm	log base 6 of 3- log base 6 of 6	$\log_{6} (3) - \log_{6} (6)$
109088	Simplify	square root of 7( square root of 14+ square root of 3)	$\sqrt{7} (\sqrt{14} + \sqrt{3})$
109089	Find the Asymptotes	y=(x-5)/(x^2+4x+3)	$y = \frac{x - 5}{x^{2} + 4 x + 3}$
109090	Find the Inverse	cube root of x-8	$\sqrt[3]{x - 8}$
109091	Simplify	t^8(t^10)^0	$t^{8} {(t^{10})}^{0}$
109092	Simplify	(sec(x))/(csc(x))	$\frac{\sec (x)}{\csc (x)}$
109093	Subtract	25-4	$25 - 4$
109094	Simplify	r^8(ra)^-3	$r^{8} {(r a)}^{- 3}$
109095	Subtract	180-119	$180 - 119$
109096	Simplify	(u+5v)/(8v^2u^2)-(u-6v)/(8v^2u^2)	$\frac{u + 5 v}{8 v^{2} u^{2}} - \frac{u - 6 v}{8 v^{2} u^{2}}$
109097	Simplify	(m+4)/(m^2+2m-8)	$\frac{m + 4}{m^{2} + 2 m - 8}$
109098	Simplify	(m-2)/(3m+9)*(2m+6)/(2m-4)	$\frac{m - 2}{3 m + 9} \cdot \frac{2 m + 6}{2 m - 4}$
109099	Convert to Radical Form	(16x)^(1/2)	${(16 x)}^{\frac{1}{2}}$
109100	Simplify	e^10	$e^{10}$