Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40301	Solve for x	4/(9x^(2/3))-8/(9x^(5/3))=0	$\frac{4}{9 x^{\frac{2}{3}}} - \frac{8}{9 x^{\frac{5}{3}}} = 0$
40302	Simplify	(6w^5)(2v^2)(w^6)	$(6 w^{5}) (2 v^{2}) (w^{6})$
40303	Simplify	square root of 12b^6 square root of 30b^5	$\sqrt{12 b^{6}} \sqrt{30 b^{5}}$
40304	Simplify	6(x+y)+y+3(x+3)	$6 (x + y) + y + 3 (x + 3)$
40305	Find the Second Derivative	f(x)=-x^2+2/3x^3+1/2x^-3	$f (x) = - x^{2} + \frac{2}{3} x^{3} + \frac{1}{2} x^{- 3}$
40306	Solve for q	4q-5+39=90	$4 q - 5 + 39 = 90$
40307	Find the Domain	g(t)=3 square root of x-9	$g (t) = 3 \sqrt{x - 9}$
40308	Solve for s	-6(s+7)=10(3-s)	$- 6 (s + 7) = 10 (3 - s)$
40309	Find the Concavity	1/6x^4+x^3-10x^2	$\frac{1}{6} x^{4} + x^{3} - 10 x^{2}$
40310	Solve the Function Operation	g(x)=4x+3 f(x)=x^2-1 Find (g-f)(8)	$g (x) = 4 x + 3$ $f (x) = x^{2} - 1$ Find $(g - f) (8)$
40311	Evaluate	-4+7(1-3m)	$- 4 + 7 (1 - 3 m)$
40312	Solve for x	9=x* square root of 2	$9 = x \cdot \sqrt{2}$
40313	Simplify	( cube root of 16a^5)( cube root of 2a^6)	$(\sqrt[3]{16 a^{5}}) (\sqrt[3]{2 a^{6}})$
40314	Add	-(7pi)/3+2pi	$- \frac{7 π}{3} + 2 π$
40315	Simplify	(-3)(-3)-16÷(4-12)	$(- 3) (- 3) - 16 \div (4 - 12)$
40316	Solve for x	square root of 4^(5(x-2))=16^(3-x)	$\sqrt{4^{5 (x - 2)}} = 16^{3 - x}$
40317	Simplify	(-8a^2-4a^3-2a^4)-(2a^4+6a^3+5)	$(- 8 a^{2} - 4 a^{3} - 2 a^{4}) - (2 a^{4} + 6 a^{3} + 5)$
40318	Solve for n	-5(n-1)=7(n+3)	$- 5 (n - 1) = 7 (n + 3)$
40319	Describe the Transformation	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
40320	Solve the Function Operation	Given that f(x)=x^2-9x+20 and g(x)=x-5 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 9 x + 20$ and $g (x) = x - 5$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
40321	Simplify	4a(0^(1/2))b^4(-b)^-7	$4 a (0^{\frac{1}{2}}) b^{4} {(- b)}^{- 7}$
40322	Find the Slope	(3/8,-1/2) , (1/4,1/4)	$(\frac{3}{8}, - \frac{1}{2})$ , $(\frac{1}{4}, \frac{1}{4})$
40323	Solve the Inequality for x	8(4x+3)>=-1+7x	$8 (4 x + 3) \geq - 1 + 7 x$
40324	Solve for x	12 cube root of 2x-7=21	$12 \sqrt[3]{2 x - 7} = 21$
40325	Multiply	6*( square root of 3)/2	$6 \cdot \frac{\sqrt{3}}{2}$
40326	Find Where Increasing/Decreasing	f(x)=- log base 2 of x-1	$f (x) = - \log_{2} (x - 1)$
40327	Simplify	(2x-1)^2+1	${(2 x - 1)}^{2} + 1$
40328	Evaluate Using the Given Value	Evaluate 8+w/4 when w=16	Evaluate $8 + \frac{w}{4}$ when $w = 16$
40329	Graph	y=-3/2 square root of x-4	$y = - \frac{3}{2} \sqrt{x} - 4$
40330	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,3) and has a slope of 1 ?	What is the equation of the line that passes through the point $(4, 3)$ and has a slope of $1$ ?
40331	Subtract	(7x+5)/(x^2+8x+12)-7/(x+2)	$\frac{7 x + 5}{x^{2} + 8 x + 12} - \frac{7}{x + 2}$
40332	Find the Derivative - d/dx	xcos(pix)+sin(x)	$x \cos (π x) + \sin (x)$
40333	Find the Asymptotes	f(x)=(3e^(2x)+2)/(e^(2x)-5e^x+6)	$f (x) = \frac{3 e^{2 x} + 2}{e^{2 x} - 5 e^{x} + 6}$
40334	Evaluate	67+2+53^2	$6 \times 7 + 2 + 5 \times 3^{2}$
40335	Solve for x	2xy-x^3=0	$2 x y - x^{3} = 0$
40336	Solve for θ in Degrees	6sin(theta)+7=0	$6 \sin (θ) + 7 = 0$
40337	Evaluate	f^-1(x)=1/(f(x))	$f^{- 1} (x) = \frac{1}{f (x)}$
40338	Evaluate	-csc((5pi)/6)^2	$- \csc^{2} (\frac{5 π}{6})$
40339	Simplify	(x^3y^2)^-4*(x^2y^-3)^-2	${(x^{3} y^{2})}^{- 4} \cdot {(x^{2} y^{- 3})}^{- 2}$
40340	Solve for x	-9<\|x-8\|	$- 9 < \| x - 8 \|$
40341	Solve for x	8y=3e^x	$8 y = 3 e^{x}$
40342	Solve for x	tan(x)^2+tan(x)-12=0	$\tan^{2} (x) + \tan (x) - 12 = 0$
40343	Solve the System of Equations	2x-y-4=0 3x+y-9=0	$2 x - y - 4 = 0$ $3 x + y - 9 = 0$
40344	Solve for x	3/(x+5)=(2x+8)/8	$\frac{3}{x + 5} = \frac{2 x + 8}{8}$
40345	Solve the System of Equations	-16+20x-8y=0 36=-18y-22x	$- 16 + 20 x - 8 y = 0$ $36 = - 18 y - 22 x$
40346	Solve for p	square root of 3p+22-4=0	$\sqrt{3 p + 22} - 4 = 0$
40347	Simplify	(2+ square root of 3)+(2- square root of 3)	$(2 + \sqrt{3}) + (2 - \sqrt{3})$
40348	Find the Asymptotes	(2x^3+2x)/(x^2-1)	$\frac{2 x^{3} + 2 x}{x^{2} - 1}$
40349	Solve for x	2^x*3^(x+1)=15	$2^{x} \cdot 3^{x + 1} = 15$
40350	Find the Derivative - d/dx	d/(dx)( natural log of e^(2x))	$\frac{d}{d x} (\ln (e^{2 x}))$
40351	Simplify	-3x-8 from 4x^2-7x-2	$- 3 x - 8$ from $4 x^{2} - 7 x - 2$
40352	Write in Slope-Intercept Form	(3,3) and (1,-3)	$(3, 3)$ and $(1, - 3)$
40353	Simplify	(12+6i)/6	$\frac{12 + 6 i}{6}$
40354	Solve the Inequality for x	9x<=12x^2	$9 x \leq 12 x^{2}$
40355	Simplify	4(2x-5(3-x))	$4 (2 x - 5 (3 - x))$
40356	Simplify	(18x^5+6x^4-12x^3)÷6x^2	$(18 x^{5} + 6 x^{4} - 12 x^{3}) \div 6 x^{2}$
40357	Solve for p	m=7-3(p-m)	$m = 7 - 3 (p - m)$
40358	Find the Antiderivative	x^3*e^x	$x^{3} \cdot e^{x}$
40359	Evaluate	2x(x+1)	$2 x (x + 1)$
40360	Find the Asymptotes	f(x)=((x-2)(x-10)(x-5))/(-4x^3-10x^2-9x-2)	$f (x) = \frac{(x - 2) (x - 10) (x - 5)}{- 4 x^{3} - 10 x^{2} - 9 x - 2}$
40361	Convert from Radians to Degrees	cos(pi/12)	$\cos (\frac{π}{12})$
40362	Simplify	6z-2y-8z+5y-4+z	$6 z - 2 y - 8 z + 5 y - 4 + z$
40363	Find f(g(x))	f(x)=x-4 g(x)=x^2-10	$f (x) = x - 4$ $g (x) = x^{2} - 10$
40364	Find the Maximum/Minimum Value	e^(-x)(x^2+2x)	$e^{- x} (x^{2} + 2 x)$
40365	Solve for x	2(16^(x+6))-8=35	$2 (16^{x + 6}) - 8 = 35$
40366	Solve for x	216^x=48^(3x+2)	$2 \cdot 16^{x} = 4 \cdot 8^{3 x + 2}$
40367	Simplify	14b-14b+7r	$14 b - 14 b + 7 r$
40368	Write in Standard Form	3-4x^5+2x^2+10	$3 - 4 x^{5} + 2 x^{2} + 10$
40369	Find the Asymptotes	(2x(x-8))/(3(x-8))	$\frac{2 x (x - 8)}{3 (x - 8)}$
40370	Evaluate the Limit	limit as z approaches 3 of z(2z-z^2)	$lim_{z \to 3} z (2 z - z^{2})$
40371	Evaluate	pi/2-1.5	$\frac{π}{2} - 1.5$
40372	Evaluate the Integral	integral of (2+x^3) with respect to x	$\int (2 + x^{3}) d x$
40373	Evaluate	1/2(4)^2(3pi)/4	$\frac{1}{2} {(4)}^{2} \frac{3 π}{4}$
40374	Simplify the Radical Expression	((x^2-25)/(x^2+7x+10))÷((x-5)/(4(x+2)))	$\frac{x^{2} - 25}{x^{2} + 7 x + 10} \div \frac{x - 5}{4 (x + 2)}$
40375	Add	(3x-5)/(4x+3)+(-2x+1)/(7x-2)	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2}$
40376	Find the Roots (Zeros)	f(x)=2x^3+24x+16x^2	$f (x) = 2 x^{3} + 24 x + 16 x^{2}$
40377	Solve the Function Operation	f(x)=(x^7)/8+8 ; find f^-1(x)	$f (x) = \frac{x^{7}}{8} + 8$ ; find $f^{- 1} (x)$
40378	Simplify	((a^-2b^-1c^-4)/(a^4b^-3c^0))^-3	${(\frac{a^{- 2} b^{- 1} c^{- 4}}{a^{4} b^{- 3} c^{0}})}^{- 3}$
40379	Solve for y	2/3y+3/8y=5	$\frac{2}{3} y + \frac{3}{8} y = 5$
40380	Find the Domain	f(x)=-5 fourth root of x , g(x)=19 fourth root of x , x=16	$f (x) = - 5 \sqrt[4]{x}$ , $g (x) = 19 \sqrt[4]{x}$ , $x = 16$
40381	Simplify the Radical Expression	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
40382	Find the Domain and Range	f(x)=e^(1-x^2)+7	$f (x) = e^{1 - x^{2}} + 7$
40383	Find the Average Rate of Change	table[[x,y],[-2,3],[-1,5],[0,7],[1,9],[2,11]]	$\begin{array}{c} x & y \\ - 2 & 3 \\ - 1 & 5 \\ 0 & 7 \\ 1 & 9 \\ 2 & 11 \end{array}$
40384	Solve by Addition/Elimination	ax-by=c ax-by=c	$a x - b y = c$ $a x - b y = c$
40385	Write in Standard Form	x=1/2y^2+2y+11	$x = \frac{1}{2} y^{2} + 2 y + 11$
40386	Solve for x	(-6(x+9))/-6+3x=25	$\frac{- 6 (x + 9)}{- 6} + 3 x = 25$
40387	Determine if Dependent, Independent, or Inconsistent	4x=2y-6 2x+4=y	$4 x = 2 y - 6$ $2 x + 4 = y$
40388	Solve for x	-1/4x-12=x+3	$- \frac{1}{4} x - 12 = x + 3$
40389	Solve for x	ax=b+c	$a x = b + c$
40390	Find the LCM	lcm of 6 and 8	lcm of $6$ and $8$
40391	Solve for x	(1^x)/4=1024	$\frac{1^{x}}{4} = 1024$
40392	Simplify	5/b-7/9+6/(b^2)	$\frac{5}{b} - \frac{7}{9} + \frac{6}{b^{2}}$
40393	Verify the Identity	sin(x)^2=sin(x)^2	$\sin^{2} (x) = \sin^{2} (x)$
40394	Solve for x	2cos(x)sin(x)=cos(x)	$2 \cos (x) \sin (x) = \cos (x)$
40395	Graph	y>=1/3x-4 y<=x-2	$y \geq \frac{1}{3} x - 4$ $y \leq x - 2$
40396	Find the Derivative - d/dx	- fifth root of x^6	$- \sqrt[5]{x^{6}}$
40397	Find the Roots (Zeros)	4/x=7/(4x)+3	$\frac{4}{x} = \frac{7}{4 x} + 3$
40398	Solve the Inequality for c	7-3(6c+14)>5(1-2c)	$7 - 3 (6 c + 14) > 5 (1 - 2 c)$
40399	Solve the Inequality for x	(x^2(x+2))/((x+2)(x+1))<=0	$\frac{x^{2} (x + 2)}{(x + 2) (x + 1)} \leq 0$
40400	Simplify	(x^2-3xy)/((x+y)(x-y))+y/(x-y)	$\frac{(x^{2} - 3 x y)}{(x + y) (x - y)} + \frac{y}{x - y}$