Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47301	Solve for m	m(2m-5)+m=2m(m-6)+16	$m (2 m - 5) + m = 2 m (m - 6) + 16$
47302	Find dy/dx	-y^3-4x^2=-4x^3	$- y^{3} - 4 x^{2} = - 4 x^{3}$
47303	Evaluate	(4- square root of 7)(2+ square root of 7)	$(4 - \sqrt{7}) (2 + \sqrt{7})$
47304	Find the Length of a	tri{6}{}{10}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
47305	Solve the Absolute Value Inequality for x	\|(5x+20)/4\|=5	$\| \frac{5 x + 20}{4} \| = 5$
47306	Find dx/dy	2y^3+4x^2-y=x^6	$2 y^{3} + 4 x^{2} - y = x^{6}$
47307	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+27x^2+19x+5 is divided by 4x+5	Use the long division method to find the result when $12 x^{3} + 27 x^{2} + 19 x + 5$ is divided by $4 x + 5$
47308	Solve for v	-11+ square root of -8-4v=-5	$- 11 + \sqrt{- 8 - 4 v} = - 5$
47309	Simplify the Radical Expression	(6 square root of 16)( square root of -49)	$(6 \sqrt{16}) (\sqrt{- 49})$
47310	Rationalize the Denominator	(a-b)/( square root of a- square root of b)	$\frac{a - b}{\sqrt{a} - \sqrt{b}}$
47311	Find the Roots (Zeros)	f(x)=3+2x^2-4x^3	$f (x) = 3 + 2 x^{2} - 4 x^{3}$
47312	Simplify	8^(-1/4)*2^(-1/4)	$8^{- \frac{1}{4}} \cdot 2^{- \frac{1}{4}}$
47313	Solve for r	-58r+36r+86=-100+2(-13r-55)	$- 58 r + 36 r + 86 = - 100 + 2 (- 13 r - 55)$
47314	Find All Complex Solutions	8(e)^(2x+1)=4	$8 {(e)}^{2 x + 1} = 4$
47315	Write as a Single Logarithm	1/5 log of x- log of y	$\frac{1}{5} \log (x) - \log (y)$
47316	Simplify	(3/5x-2)(2x-1/2)	$(\frac{3}{5} x - 2) (2 x - \frac{1}{2})$
47317	Solve for x	square root of 2x+4=2+x	$\sqrt{2 x + 4} = 2 + x$
47318	Simplify	x--2x	$x - - 2 x$
47319	Evaluate the Limit	limit as x approaches 0 of (-1-1)/(-1+1)	$lim_{x \to 0} \frac{- 1 - 1}{- 1 + 1}$
47320	Find the Roots (Zeros)	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
47321	Add	11/12+2 3/12	$\frac{11}{12} + 2 \frac{3}{12}$
47322	Solve for x	10/15=(6x+2)/(4x+7)	$\frac{10}{15} = \frac{6 x + 2}{4 x + 7}$
47323	Simplify	4(3/4y-2+1/2y)	$4 (\frac{3}{4} y - 2 + \frac{1}{2} y)$
47324	Find the Vertex Form	-4x^2+56x+7y-203=0	$- 4 x^{2} + 56 x + 7 y - 203 = 0$
47325	Solve the System of Inequalities	y>x+6 y>-3x-6	$y > x + 6$ $y > - 3 x - 6$
47326	Simplify	(3x^2-19x-14)/(5x^2+7x+2)*(5x+2)/(5x-35)	$\frac{3 x^{2} - 19 x - 14}{5 x^{2} + 7 x + 2} \cdot \frac{5 x + 2}{5 x - 35}$
47327	Simplify	(2x-3)/(x-1)-(2x+1)/(x+1)	$\frac{2 x - 3}{x - 1} - \frac{2 x + 1}{x + 1}$
47328	Evaluate	((2^5)^3*2^-7)/(2^-6)	$\frac{{(2^{5})}^{3} \cdot 2^{- 7}}{2^{- 6}}$
47329	Simplify	(2 cube root of 16x^5+5x cube root of 128x^2)	$(2 \sqrt[3]{16 x^{5}} + 5 x \sqrt[3]{128 x^{2}})$
47330	Find the Roots (Zeros)	y=x^3+3x^2+1	$y = x^{3} + 3 x^{2} + 1$
47331	Evaluate	square root of 3x=9	$\sqrt{3 x} = 9$
47332	Solve Using the Quadratic Formula	x^4-4x^2+2=0	$x^{4} - 4 x^{2} + 2 = 0$
47333	Evaluate the Integral	integral of (e^( square root of x))/(2 square root of x) with respect to x	$\int \frac{e^{\sqrt{x}}}{2 \sqrt{x}} d x$
47334	Solve for y	y=(-9+4)^2	$y = {(- 9 + 4)}^{2}$
47335	Graph	{x\|-2<=x<4}	${x \| - 2 \leq x < 4}$
47336	Solve for x	3x-8+4x-7=4x	$3 x - 8 + 4 x - 7 = 4 x$
47337	Find the Domain of the Product of the Functions	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
47338	Solve for x	x^2+(-1/2)^2=1^2	$x^{2} + {(- \frac{1}{2})}^{2} = 1^{2}$
47339	Simplify	(3x^3+5x^2)/(6x+10)	$\frac{3 x^{3} + 5 x^{2}}{6 x + 10}$
47340	Simplify	((x-3)/4)÷(x/8)	$\frac{x - 3}{4} \div \frac{x}{8}$
47341	Simplify	square root of 3/(5- square root of 6)	$\sqrt{\frac{3}{5 - \sqrt{6}}}$
47342	Convert to a Percentage	111 is what percent of 300	$111$ is what percent of $300$
47343	Simplify	2/(3x)+(3x)/4	$\frac{2}{3 x} + \frac{3 x}{4}$
47344	Find the Degree, Leading Term, and Leading Coefficient	-6y^5z^5-(x^4)/3	$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$
47345	Evaluate	(-a^9b)^4	${(- a^{9} b)}^{4}$
47346	Simplify	(9/(7x^2))/(5/(3x^3))	$\frac{\frac{9}{7 x^{2}}}{\frac{5}{3 x^{3}}}$
47347	Solve for x	56=7x^2	$56 = 7 x^{2}$
47348	Simplify the Radical Expression	cube root of 3* sixth root of 4	$\sqrt[3]{3} \cdot \sqrt[6]{4}$
47349	Solve for θ	sin(theta)^2=(2+ square root of 3)/4	$\sin^{2} (θ) = \frac{2 + \sqrt{3}}{4}$
47350	Simplify	( cube root of square root of 30+ square root of 3)( cube root of square root of 30- square root of 3)	$(\sqrt[3]{\sqrt{30} + \sqrt{3}}) (\sqrt[3]{\sqrt{30} - \sqrt{3}})$
47351	Solve the Inequality for y	x+3y<=8	$x + 3 y \leq 8$
47352	Convert to a Decimal	750deg	$750$ degrees
47353	Simplify	11/9-7/(2w)-6/(5w)	$\frac{11}{9} - \frac{7}{2 w} - \frac{6}{5 w}$
47354	Add	-38+6+27+(-8)+126	$- 38 + 6 + 27 + (- 8) + 126$
47355	Factor	(cos(x)^2-4)/(cos(x)-2)	$\frac{\cos^{2} (x) - 4}{\cos (x) - 2}$
47356	Find the Maximum/Minimum Value	y=1/2(x-6)^2	$y = \frac{1}{2} {(x - 6)}^{2}$
47357	Evaluate	f(x)=2(-2)^(3(-2)+4)	$f (x) = 2 {(- 2)}^{3 (- 2) + 4}$
47358	Solve the System of Equations	y=-2x+21/4 y=x^2-x-3/4	$y = - 2 x + \frac{21}{4}$ $y = x^{2} - x - \frac{3}{4}$
47359	Solve for x	3 cube root of 2x = cube root of 2x+156	$3 \sqrt[3]{2 x} = \sqrt[3]{2 x + 156}$
47360	Find the Domain	f(x)=(x+6)/( square root of 4-x^2)	$f (x) = \frac{x + 6}{\sqrt{4 - x^{2}}}$
47361	Find the Second Derivative	f(x)=cos(x^2)	$f (x) = \cos (x^{2})$
47362	Simplify	4 square root of 10- square root of 6+3 square root of 10	$4 \sqrt{10} - \sqrt{6} + 3 \sqrt{10}$
47363	Solve for x in Degrees	sin(x)=cos(x)	$\sin (x) = \cos (x)$
47364	Solve for k	y = square root of 2m-k	$y = \sqrt{2 m - k}$
47365	Evaluate	-67/50+1.5-100%	$- \frac{67}{50} + 1.5 - 100 %$
47366	Evaluate the Limit	limit as x approaches 8 from the right of ( square root of x-8)/x	$lim_{x \to 8^{+}} \frac{\sqrt{x - 8}}{x}$
47367	Write in Slope-Intercept Form	2x+y>=3	$2 x + y \geq 3$
47368	Simplify	w^2ww^-5	$w^{2} \cdot w \cdot w^{- 5}$
47369	Simplify	(-9x^2y^2+5x^2y-11xy+1)-(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (4 x y - 13 x^{2} y + 7)$
47370	Simplify	((a^2-b^2)/(4a))/((a+b)/(2a))	$\frac{\frac{a^{2} - b^{2}}{4 a}}{\frac{a + b}{2 a}}$
47371	Convert from Degrees to Radians	arcsin(-0.5)	$\arcsin (- 0.5)$
47372	Find the Exact Value	3 square root of -8	$3 \sqrt{- 8}$
47373	Solve for x	(3x)/(x-5)=15/(x-5)+4	$\frac{3 x}{x - 5} = \frac{15}{x - 5} + 4$
47374	Divide	(3x^3y+6x^2y^3-9xy^4)/(3xy)	$\frac{3 x^{3} y + 6 x^{2} y^{3} - 9 x y^{4}}{3 x y}$
47375	Simplify	(5 square root of 8)/(4 square root of 18)	$\frac{5 \sqrt{8}}{4 \sqrt{18}}$
47376	Graph	g(x)=10 if x<-1; x^2+1 if -1<=x<=3; 10 if x>3	$g (x) = {\begin{cases} 10 & x < - 1 \\ x^{2} + 1 & - 1 \leq x \leq 3 \\ 10 & x > 3 \end{cases}$
47377	Find the Average Rate of Change	g(t)=2cos(t)^2 , [0,pi/6]	$g (t) = 2 \cos^{2} (t)$ , $[0, \frac{π}{6}]$
47378	Find the Domain	m(x) = fifth root of x-6	$m (x) = \sqrt[5]{x - 6}$
47379	Simplify	( square root of 3+ square root of 7)/( square root of 3- square root of 7)	$\frac{\sqrt{3} + \sqrt{7}}{\sqrt{3} - \sqrt{7}}$
47380	Find the Geometric Mean	4 and 49	$4$ and $49$
47381	Solve the System of Equations	y=-x^2-13x-3 2x+y=15	$y = - x^{2} - 13 x - 3$ $2 x + y = 15$
47382	Graph	y=4+ square root of 6-x	$y = 4 + \sqrt{6 - x}$
47383	Integrate By Parts	integral from 1 to e of x natural log of x with respect to x	$\int_{1}^{e} x \ln (x) d x$
47384	Evaluate the Limit	limit as x approaches infinity of (1+x)^(3/x)	$lim_{x \to \infty} {(1 + x)}^{\frac{3}{x}}$
47385	Find the Derivative - d/dx	natural log of e^(3x)+x	$\ln (e^{3 x} + x)$
47386	Find the Quadratic Equation Given the Roots	0 and 5	$0$ and $5$
47387	Find the x and y Intercepts	t(x)=x^2(x-3)(3-x)	$t (x) = x^{2} (x - 3) (3 - x)$
47388	Graph	22>=4x+2>-18	$22 \geq 4 x + 2 > - 18$
47389	Solve the Inequality for x	cos(x)<=-1/2	$\cos (x) \leq - \frac{1}{2}$
47390	Find the Coterminal Angle	-895	$- 895$
47391	Find the Derivative - d/dt	y=2e^(cos(t))	$y = 2 e^{\cos (t)}$
47392	Simplify the Radical Expression	square root of 49- square root of -200+ square root of 81+ square root of -32	$\sqrt{49} - \sqrt{- 200} + \sqrt{81} + \sqrt{- 32}$
47393	Graph Using a Table of Values	f(x)=-4^(x-4)+5	$f (x) = - 4^{x - 4} + 5$
47394	Solve the System of Equations	x+5y+4z=3 x+3y+4z=-3 -x+7y+4z=-7	$x + 5 y + 4 z = 3$ $x + 3 y + 4 z = - 3$ $- x + 7 y + 4 z = - 7$
47395	Graph	y>-3x-5 x<-2 y<=6	$y > - 3 x - 5$ $x < - 2$ $y \leq 6$
47396	Graph	slope of -3	slope of $- 3$
47397	Simplify	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \cdot 10^{- 5})}{(7.8 \cdot 10^{- 8})}$
47398	Graph	-25<-3x+5 or -3x+5<-31	$- 25 < - 3 x + 5$ or $- 3 x + 5 < - 31$
47399	Evaluate	(10-3)/(3-0)	$\frac{10 - 3}{3 - 0}$
47400	Find the Exact Value	sin(pi/3)cos(pi/6)-tan(pi/4)	$\sin (\frac{π}{3}) \cos (\frac{π}{6}) - \tan (\frac{π}{4})$