Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36001	Simplify	(3x)/((3x)^(3/2))	$\frac{(3 x)}{{(3 x)}^{\frac{3}{2}}}$
36002	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,1) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(- 8, 1)$ and has a slope of $- \frac{3}{4}$ ?
36003	Evaluate	e natural log of 1	$e \ln (1)$
36004	Find the Exact Value	(5(17)^2)/(10^3)	$\frac{5 {(17)}^{2}}{10^{3}}$
36005	Add	(7x^2-1)+(2x^2+7)	$(7 x^{2} - 1) + (2 x^{2} + 7)$
36006	Find the Domain and Range	f(x)=(x^2)/(1-x)	$f (x) = \frac{x^{2}}{1 - x}$
36007	Evaluate	2^-4-3^3*5^-2	$2^{- 4} - 3^{3} \cdot 5^{- 2}$
36008	Evaluate	2^-3*4^-9	$2^{- 3} \cdot 4^{- 9}$
36009	Convert to Radical Form	(x^(1/6)y^(1/6))^3	${(x^{\frac{1}{6}} y^{\frac{1}{6}})}^{3}$
36010	Find the Antiderivative	f(x)=x^2-3x+1/x	$f (x) = x^{2} - 3 x + \frac{1}{x}$
36011	Convert to a Decimal	2000 deposit that earns 5% annual interest compounded quarterly	$2000$ deposit that earns $5 %$ annual interest compounded quarterly
36012	Solve the Inequality for x	y>=1/2x-3	$y \geq \frac{1}{2} x - 3$
36013	Solve the Inequality for y	-7>y-8>=-12	$- 7 > y - 8 \geq - 12$
36014	Find the Derivative - d/dx	5x^2* natural log of x	$5 x^{2} \cdot \ln (x)$
36015	Write the Fraction in Simplest Form	(4(ya^-5)^-1)/(4y^-8a^4)	$\frac{4 {(y a^{- 5})}^{- 1}}{4 y^{- 8} a^{4}}$
36016	Find the LCM	x^2-2x-63 and x+7	$x^{2} - 2 x - 63$ and $x + 7$
36017	Simplify	(8x^3+3x^2-8x+10)-(7+5x^2+5x^3)	$(8 x^{3} + 3 x^{2} - 8 x + 10) - (7 + 5 x^{2} + 5 x^{3})$
36018	Solve for x	x^x=1/( square root of 2)	$x^{x} = \frac{1}{\sqrt{2}}$
36019	Solve the System of Equations	-x+2y-2=0 x-2y=-2	$- x + 2 y - 2 = 0$ $x - 2 y = - 2$
36020	Evaluate	20-(-2(5-1)^2+9)	$20 - (- 2 {(5 - 1)}^{2} + 9)$
36021	Simplify	Simplify (5b)(-3a)	Simplify $(5 b) (- 3 a)$
36022	Simplify	((8x^4)/(2x^4))	$(\frac{8 x^{4}}{2 x^{4}})$
36023	Simplify	( square root of 3-7)(8+ square root of 3)	$(\sqrt{3} - 7) (8 + \sqrt{3})$
36024	Simplify	(3 square root of 8a^3)÷( square root of b^3)	$3 \sqrt{8 a^{3}} \div \sqrt{b^{3}}$
36025	Simplify	(5x+2x^2-3)-(6+x^2-8x)	$(5 x + 2 x^{2} - 3) - (6 + x^{2} - 8 x)$
36026	Write the Fraction in Simplest Form	(10k^-10b^-9)/(5(k^-5b^2)^-3)	$\frac{10 k^{- 10} b^{- 9}}{5 {(k^{- 5} b^{2})}^{- 3}}$
36027	Find Amplitude, Period, and Phase Shift	y=2cos(4pix-5)	$y = 2 \cos (4 π x - 5)$
36028	Solve for a	(2x+5)/((x-8)(2x+1))=a/(x-8)+b/(2x+1)	$\frac{2 x + 5}{(x - 8) (2 x + 1)} = \frac{a}{x - 8} + \frac{b}{2 x + 1}$
36029	Subtract	(-1/2x+7/10)-(-3/4x-1/5)	$(- \frac{1}{2} x + \frac{7}{10}) - (- \frac{3}{4} x - \frac{1}{5})$
36030	Find All Complex Solutions	5x-7x+6=-2(x-3)	$5 x - 7 x + 6 = - 2 (x - 3)$
36031	Solve for x	square root of x+6+1 = square root of 7-x	$\sqrt{x + 6} + 1 = \sqrt{7 - x}$
36032	Solve for x	7/(2x)+1/2=3	$\frac{7}{2 x} + \frac{1}{2} = 3$
36033	Solve the Function Operation	If f(x)=x^3+6 ; what is the value of f(3) ?	If $f (x) = x^{3} + 6$ ; what is the value of $f (3)$ ?
36034	Simplify	Simplify cube root of (4x)/(5x^2)	Simplify $\sqrt[3]{\frac{4 x}{5 x^{2}}}$
36035	Evaluate	(xy^6)/(xy^8)	$\frac{x y^{6}}{x y^{8}}$
36036	Find the End Behavior	f(x)=-x^2+4x	$f (x) = - x^{2} + 4 x$
36037	Graph	Graph y<- square root of x+4-5	Graph $y < - \sqrt{x + 4} - 5$
36038	Find the Derivative - d/dx	yx^(y-1)	$y x^{y - 1}$
36039	Find the Roots (Zeros)	y=cos(x+pi/4)	$y = \cos (x + \frac{π}{4})$
36040	Find dy/dx	y=5 square root of x^2+9	$y = 5 \sqrt{x^{2} + 9}$
36041	Find the GCF	8m^3+16m^2n	$8 m^{3} + 16 m^{2} n$
36042	Factor by Grouping	24x^2y+18xy^2-2y	$24 x^{2} y + 18 x y^{2} - 2 y$
36043	Solve for x	x-1/9=2/3	$x - \frac{1}{9} = \frac{2}{3}$
36044	Simplify	( square root of 5- square root of 8)(4 square root of 5+9 square root of 8)	$(\sqrt{5} - \sqrt{8}) (4 \sqrt{5} + 9 \sqrt{8})$
36045	Solve the Rational Equation for x	x/(x+1)-4=-1/(x+1)	$\frac{x}{x + 1} - 4 = - \frac{1}{x + 1}$
36046	Solve by Graphing	x+y=-2 y=5x+4	$x + y = - 2$ $y = 5 x + 4$
36047	Evaluate	1/8de1/32	$\frac{1}{8} d e \frac{1}{32}$
36048	Simplify	4 square root of 12x-5 square root of 32y-4 square root of 48x+8 square root of 50y	$4 \sqrt{12 x} - 5 \sqrt{32 y} - 4 \sqrt{48 x} + 8 \sqrt{50 y}$
36049	Find the Domain and Range	y=3/2*2^x+1	$y = \frac{3}{2} \cdot 2^{x} + 1$
36050	Expand the Logarithmic Expression	log of ((5 square root of u)/(w^2))^3	$\log ({(\frac{5 \sqrt{u}}{w^{2}})}^{3})$
36051	Solve for x	(1/27)^(x^2)=9^(3x+8)*(1/81)^(x^2)	${(\frac{1}{27})}^{x^{2}} = 9^{3 x + 8} \cdot {(\frac{1}{81})}^{x^{2}}$
36052	Solve for x	log base 3 of 2x+3- log base 3 of 8 = log base 3 of x	$\log_{3} (2 x + 3) - \log_{3} (8) = \log_{3} (x)$
36053	Solve the Function Operation	Given that f(x)=x^2-11x+24 and g(x)=x-3 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 11 x + 24$ and $g (x) = x - 3$ ; find $f (x) - g (x)$ and express the result in standard form.
36054	Factor	y=2x^4+8x^3+4x^2-8x-6	$y = 2 x^{4} + 8 x^{3} + 4 x^{2} - 8 x - 6$
36055	Solve for K	-7/6=-1/3K	$- \frac{7}{6} = - \frac{1}{3} K$
36056	Solve for y	cx-d=a(x-y)	$c x - d = a (x - y)$
36057	Simplify the Radical Expression	(a^8)^(3/2)	${(a^{8})}^{\frac{3}{2}}$
36058	Simplify	(3x^-2y)(-2xy^-3)	$(3 x^{- 2} y) (- 2 x y^{- 3})$
36059	Simplify	(x-1)/(x^2-2x-3)+5/(2x^2+2x)	$\frac{x - 1}{x^{2} - 2 x - 3} + \frac{5}{2 x^{2} + 2 x}$
36060	Simplify	(x+6)/(5x^2)*(x+2)/(4x^3)	$\frac{x + 6}{5 x^{2}} \cdot \frac{x + 2}{4 x^{3}}$
36061	Integrate Using u-Substitution	integral of 2x square root of x^2+1 with respect to x	$\int 2 x \sqrt{x^{2} + 1} d x$
36062	Divide Using Long Polynomial Division	12x^3+17x^2+18x+9 divided by 4x+3	$12 x^{3} + 17 x^{2} + 18 x + 9$ divided by $4 x + 3$
36063	Solve the Inequality for x	-4+x>-2+x	$- 4 + x > - 2 + x$
36064	Write in Standard Form	xy=6	$x y = 6$
36065	Solve for x	(1/9)^x*(1/3)^x=3^(16-x)	${(\frac{1}{9})}^{x} \cdot {(\frac{1}{3})}^{x} = 3^{16 - x}$
36066	Solve the System of Equations	-x-3y+3=0 x+3y=3	$- x - 3 y + 3 = 0$ $x + 3 y = 3$
36067	Simplify	3^4n^-2t^5	$3^{4} n^{- 2} t^{5}$
36068	Convert to Polar	x=(y^2)/2	$x = \frac{y^{2}}{2}$
36069	Evaluate	20% of 55	$20 %$ of $55$
36070	Find the Coterminal Angle	25pi	$25 π$
36071	Solve for x	(-4x+2)/(x-3)+3/(x-1)=-6/(x^2-4x+3)	$\frac{- 4 x + 2}{x - 3} + \frac{3}{x - 1} = - \frac{6}{x^{2} - 4 x + 3}$
36072	Describe the Transformation	f(x)=2*3^x+1	$f (x) = 2 \cdot 3^{x} + 1$
36073	Solve for θ in Degrees	sin(theta)^2-16=0	$\sin^{2} (θ) - 16 = 0$
36074	Solve for y	x=(2y)/(y-1)	$x = \frac{2 y}{y - 1}$
36075	Simplify	(x^(-3/4))/(x^-2)	$\frac{x^{- \frac{3}{4}}}{x^{- 2}}$
36076	Divide	(5/8-1/3)÷(2/5+1)	$(\frac{5}{8} - \frac{1}{3}) \div (\frac{2}{5} + 1)$
36077	Simplify	(x+y)^2+(x-y)^2-2x^2	${(x + y)}^{2} + {(x - y)}^{2} - 2 x^{2}$
36078	Convert to a Decimal	135deg to rad	$135$ degrees to radians
36079	Solve for q	t=-1/qrs	$t = - \frac{1}{q} r s$
36080	Solve the System of Inequalities	-6<=x<=-3	$- 6 \leq x \leq - 3$
36081	Factor	5mn+25m+3n^3+15n^2	$5 m n + 25 m + 3 n^{3} + 15 n^{2}$
36082	Find the Geometric Mean	5 and 36	$5$ and $36$
36083	Solve for a	3a=-b+c	$3 a = - b + c$
36084	Find the LCM	x , 2x	$x$ , $2 x$
36085	Find the Degree, Leading Term, and Leading Coefficient	x^3y+2x^3+3x^2y-5x^4+7x^3y+8x+4	$x^{3} y + 2 x^{3} + 3 x^{2} y - 5 x^{4} + 7 x^{3} y + 8 x + 4$
36086	Simplify	(2x+6)/(x+1)-4/(x+1)	$\frac{2 x + 6}{(x + 1)} - \frac{4}{(x + 1)}$
36087	Solve by Graphing	x+y=5 y=4x	$x + y = 5$ $y = 4 x$
36088	Simplify	(1^2011)/(2011^-1)	$\frac{1^{2011}}{2011^{- 1}}$
36089	Graph	x^2+y^2<25 y>-\|x\|+2	$x^{2} + y^{2} < 25$ $y > - \| x \| + 2$
36090	Simplify	8/(2x^-3)	$\frac{8}{2 x^{- 3}}$
36091	Solve for x	ax-b=cx+d	$a x - b = c x + d$
36092	Graph	(1-x)^(-)*2	${(1 - x)}^{-} \cdot 2$
36093	Multiply	(3x+5)(3x-5)(5y+6x)	$(3 x + 5) (3 x - 5) (5 y + 6 x)$
36094	Solve for y	-6=3/y	$- 6 = \frac{3}{y}$
36095	Evaluate	2x<15	$2 x < 15$
36096	Evaluate	35% of 40	$35 %$ of $40$
36097	Simplify	(3a^3b^-1a)^2	${(3 a^{3} b^{- 1} a)}^{2}$
36098	Evaluate	-3/( square root of 1-9(-1/5)^2)	$- \frac{3}{\sqrt{1 - 9 {(- \frac{1}{5})}^{2}}}$
36099	Find the Derivative - d/dt	e^(cos(t))	$e^{\cos (t)}$
36100	Simplify	(32i)(-8i)(11-i)-42	$(32 i) (- 8 i) (11 - i) - 42$