Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16501	Solve for x	1/7(x+9)^(3/2)=49	$\frac{1}{7} {(x + 9)}^{\frac{3}{2}} = 49$
16502	Solve for x	x÷0.4=2 1/9÷3 1/6	$x \div 0.4 = 2 \frac{1}{9} \div 3 \frac{1}{6}$
16503	Solve the Inequality for x	-x^2+86<2x+6	$- x^{2} + 86 < 2 x + 6$
16504	Simplify	(x^3y^6)^(1/2)	${(x^{3} y^{6})}^{\frac{1}{2}}$
16505	Graph	(x-1)^2+y^2<=4	${(x - 1)}^{2} + y^{2} \leq 4$
16506	Simplify	(-64/125)^(-2/3)	${(- \frac{64}{125})}^{\frac{- 2}{3}}$
16507	Simplify	-6x+(2y+4x)-(x-y)-3y	$- 6 x + (2 y + 4 x) - (x - y) - 3 y$
16508	Solve the System of Equations	2x+3y+z=-1 3x+3y+z=1 2x+4y+z=-2	$2 x + 3 y + z = - 1$ $3 x + 3 y + z = 1$ $2 x + 4 y + z = - 2$
16509	Solve the Inequality for h	\|3h-3\|<12	$\| 3 h - 3 \| < 12$
16510	Find the Cotangent Given the Point	(-( square root of 2)/5,( square root of 23)/5)	$(- \frac{\sqrt{2}}{5}, \frac{\sqrt{23}}{5})$
16511	Simplify	(p^3)(2p^2-4p)(3p^2-1)	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$
16512	Simplify	( square root of 16a^4b^8)/( square root of 3a)	$\frac{\sqrt{16 a^{4} b^{8}}}{\sqrt{3 a}}$
16513	Evaluate	( fifth root of 243/32)^3	${(\sqrt[5]{\frac{243}{32}})}^{3}$
16514	Simplify	(-a^2)^4*(3ab^5)^3	${(- a^{2})}^{4} \cdot {(3 a b^{5})}^{3}$
16515	Simplify	0^-2	$0^{- 2}$
16516	Evaluate the Integral	integral of tgx with respect to x	$\int t g x d x$
16517	Solve for t	2cos(2t)=- square root of 3	$2 \cos (2 t) = - \sqrt{3}$
16518	Solve for x	(4x-10)/x=8	$\frac{4 x - 10}{x} = 8$
16519	Simplify	(sec(x)^2)^2	${(\sec^{2} (x))}^{2}$
16520	Solve for x	y=4x y=20	$y = 4 x$ $y = 20$
16521	Find the GCF	What is the GCF of 18k and 15k^3	What is the GCF of $18 k$ and $15 k^{3}$
16522	Simplify	(n^5)(n^2)(r^3)(r^4)	$(n^{5}) (n^{2}) (r^{3}) (r^{4})$
16523	Find the x and y Intercepts	f(x)=-1/((x+3)^2)+2	$f (x) = - \frac{1}{{(x + 3)}^{2}} + 2$
16524	Find the Domain and Range	(x^2-1)/(x^2+1)	$\frac{x^{2} - 1}{x^{2} + 1}$
16525	Evaluate the Function	f(x)=3 cube root of x^4-3x^2-64/x at x=8	$f (x) = 3 \sqrt[3]{x^{4}} - 3 x^{2} - \frac{64}{x}$ at $x = 8$
16526	Find the Asymptotes	f(x)=(2x^2+x-3)/(4x^2-3x-1)	$f (x) = \frac{2 x^{2} + x - 3}{4 x^{2} - 3 x - 1}$
16527	Simplify	(x4/3)/(x1/3)	$\frac{x \frac{4}{3}}{x \frac{1}{3}}$
16528	Divide	(12x^ay^b)÷(-6x^ay)	$12 x^{a} y^{b} \div (- 6 x^{a} y)$
16529	Solve for x	4(2x-5)^(1/3)+17=37	$4 {(2 x - 5)}^{\frac{1}{3}} + 17 = 37$
16530	Evaluate the Function	g(4/3)=x/( square root of 9-x^2)	$g (\frac{4}{3}) = \frac{x}{\sqrt{9 - x^{2}}}$
16531	Evaluate the Function	f(x)=5^x for x=4	$f (x) = 5^{x}$ for $x = 4$
16532	Solve for y	-4x+1/2y=1	$- 4 x + \frac{1}{2} y = 1$
16533	Solve for m	e^(m-6)=4	$e^{m - 6} = 4$
16534	Evaluate Using L'Hospital's Rule	limit as t approaches 0 of (sin(t))/( natural log of 2e^t-1)	$lim_{t \to 0} \frac{\sin (t)}{\ln (2 e^{t} - 1)}$
16535	Solve for x in Radians	sin(2x)=- square root of 3sin(x)	$\sin (2 x) = - \sqrt{3} \sin (x)$
16536	Divide	(3x^5-2x^3+5x)/(x^2)	$\frac{3 x^{5} - 2 x^{3} + 5 x}{x^{2}}$
16537	Solve for x	(x+3)^4=362	${(x + 3)}^{4} = 362$
16538	Find the LCM	14 and 4	$14$ and $4$
16539	Simplify	square root of 6* square root of 7	$\sqrt[2]{6} \cdot \sqrt{7}$
16540	Find the Second Derivative	e^x+100e+8x^4+49	$e^{x} + 100 e + 8 x^{4} + 49$
16541	Solve the Inequality for x	3/4(-8x-4)-2x>5	$\frac{3}{4} (- 8 x - 4) - 2 x > 5$
16542	Solve the Inequality for q	8+ square root of 2q<=5	$8 + \sqrt{2 q} \leq 5$
16543	Evaluate	x^5*x^-1	$x^{5} \cdot x^{- 1}$
16544	Find the Exact Value	\|1-i\|	$\| 1 - i \|$
16545	Solve by Addition/Elimination	3/4x-5/6y=23/4 -3/4x+1/12y=-5/4	$\frac{3}{4} x - \frac{5}{6} y = \frac{23}{4}$ $- \frac{3}{4} x + \frac{1}{12} y = - \frac{5}{4}$
16546	Simplify	((7g)/(y^2))÷21g^3	$\frac{7 g}{y^{2}} \div 21 g^{3}$
16547	Find the Excluded Values	1/(x-2)-4/(x+4)=6/(x^2+2x-8)	$\frac{1}{x - 2} - \frac{4}{x + 4} = \frac{6}{x^{2} + 2 x - 8}$
16548	Write the Fraction in Simplest Form	(-3(y^-2)^3)/(5y^2)	$\frac{- 3 {(y^{- 2})}^{3}}{5 y^{2}}$
16549	Convert from Radians to Degrees	tan(pi/3)	$\tan (\frac{π}{3})$
16550	Evaluate	f(2)+f(5)	$f (2) + f (5)$
16551	Evaluate the Function	F(3)=1/3*4^x	$F (3) = \frac{1}{3} \cdot 4^{x}$
16552	Evaluate the Integral	integral from 0 to a^(2/5) of x^4 square root of a^2-x^5 with respect to x	$\int_{0}^{a^{\frac{2}{5}}} x^{4} \sqrt{a^{2} - x^{5}} d x$
16553	Solve the System of Equations	x-y+z=-6 3x-y-3z=10 x+y+z=-8	$x - y + z = - 6$ $3 x - y - 3 z = 10$ $x + y + z = - 8$
16554	Find the Inverse	y=x/2-1	$y = \frac{x}{2} - 1$
16555	Graph	yy<2	$y \cdot y < 2$
16556	Graph	f(x)=cos(-x/2)	$f (x) = \cos (- \frac{x}{2})$
16557	Solve the System of Equations	0.6x-y=3.25 2-0.5x=0.1y	$0.6 x - y = 3.25$ $2 - 0.5 x = 0.1 y$
16558	Simplify	-8(5a+2z-3b)+5z-4b+12a	$- 8 (5 a + 2 z - 3 b) + 5 z - 4 b + 12 a$
16559	Find the GCF	30xy^2z+25x^2yz^2-5yz	$30 x y^{2} z + 25 x^{2} y z^{2} - 5 y z$
16560	Write in Standard Form	log base x of 5+ log base x of 12=7	$\log_{x} (5) + \log_{x} (12) = 7$
16561	Evaluate the Limit	limit as x approaches 0 of ((x^2-4)^2-16)/(x^2)	$lim_{x \to 0} \frac{{(x^{2} - 4)}^{2} - 16}{x^{2}}$
16562	Evaluate Using L'Hospital's Rule	limit as x approaches 2 of (cos(4-2x)-1)/( natural log of 2x-3)	$lim_{x \to 2} \frac{\cos (4 - 2 x) - 1}{\ln (2 x - 3)}$
16563	Simplify the Radical Expression	cube root of (8a^2)/27	$\sqrt[3]{\frac{8 a^{2}}{27}}$
16564	Solve the System of Equations	x^2+y^2=16 y+4=x^2	$x^{2} + y^{2} = 16$ $y + 4 = x^{2}$
16565	Find the Function	f(x)=-2/3x+5	$f (x) = - \frac{2}{3} x + 5$
16566	Factor	f(x)=25x^5-50x^4-x+2	$f (x) = 25 x^{5} - 50 x^{4} - x + 2$
16567	Simplify	arccos(csc(pi/3))	$\arccos (\csc (\frac{π}{3}))$
16568	Solve for y	z=(3piy^3)/12	$z = \frac{3 π y^{3}}{12}$
16569	Solve for θ	theta=(-7pi)/4	$θ = \frac{- 7 π}{4}$
16570	Convert to a Decimal	30deg to rad	$30$ degrees to radians
16571	Find the Antiderivative	(x^2)/x	$\frac{x^{2}}{x}$
16572	Evaluate	10/(x^2-2x)+4/x=5/(x-2)	$\frac{10}{x^{2} - 2 x} + \frac{4}{x} = \frac{5}{x - 2}$
16573	Simplify	( fifth root of 3b)^5	${(\sqrt[5]{3 b})}^{5}$
16574	Simplify	(3^-2)/((3^2)^-1)	$\frac{3^{- 2}}{{(3^{2})}^{- 1}}$
16575	Write the Fraction in Simplest Form	(1/1000)^(1/3)	${(\frac{1}{1000})}^{\frac{1}{3}}$
16576	Subtract	-7x^2+4x+2-x^2-3	$- 7 x^{2} + 4 x + 2 - x^{2} - 3$
16577	Evaluate Using the Given Value	1/2x^4-1/4x^2 for x=2	$\frac{1}{2} x^{4} - \frac{1}{4} x^{2}$ for $x = 2$
16578	Solve the Rational Equation for m	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
16579	Divide Using Long Polynomial Division	(x^5+6x+2)/x	$\frac{x^{5} + 6 x + 2}{x}$
16580	Simplify	(x^4-5x^3)/(4x^5-20x^4)	$\frac{x^{4} - 5 x^{3}}{4 x^{5} - 20 x^{4}}$
16581	Simplify	(2m)/((2n^-3)^-1)	$\frac{2 m}{{(2 n^{- 3})}^{- 1}}$
16582	Write in Exponential Form	( square root of 3xy)^5	${(\sqrt{3 x y})}^{5}$
16583	Find the Derivative - d/dx	\|2x+1\|	$\| 2 x + 1 \|$
16584	Solve the Inequality for v	14v<=14	$14 v \leq 14$
16585	Find Where Increasing/Decreasing	((x+1)^2)/(x-4)	$\frac{{(x + 1)}^{2}}{x - 4}$
16586	Solve the Inequality for x	log base 3 of x+ log base 3 of 6>=2	$\log_{3} (x) + \log_{3} (6) \geq 2$
16587	Simplify the Radical Expression	y^-4*y^3	$y^{- 4} \cdot y^{3}$
16588	Solve for x	2/8=(x+4)/(x-4)	$\frac{2}{8} = \frac{x + 4}{x - 4}$
16589	Solve for x	14 2/5x+6.55=-11 1/8x-2.45+17x	$14 \frac{2}{5} x + 6.55 = - 11 \frac{1}{8} x - 2.45 + 17 x$
16590	Find the Concavity	f(x)=-1/15x^6-x^5	$f (x) = - \frac{1}{15} x^{6} - x^{5}$
16591	Solve for k	(k-4)^2=-3	${(k - 4)}^{2} = - 3$
16592	Find the End Behavior	y=-x^4+x^3-x^2+1-1	$y = - x^{4} + x^{3} - x^{2} + 1 - 1$
16593	Solve the Function Operation	Given that f(x)=x^2+5x-14 and g(x)=x+7 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 5 x - 14$ and $g (x) = x + 7$ ; find $(f \cdot g) (x)$ and express the result in standard form.
16594	Solve the Absolute Value Inequality for c	\|-2c-3\|>-4	$\| - 2 c - 3 \| > - 4$
16595	Solve the Function Operation	Find (g-h)(x) when g(x)=x^3+2x^2-8x and h(x)=-3x^3+6x^2+5x-9	Find $(g - h) (x)$ when $g (x) = x^{3} + 2 x^{2} - 8 x$ and $h (x) = - 3 x^{3} + 6 x^{2} + 5 x - 9$
16596	Solve the Inequality for x	3x^2-54x<=-3x-210	$3 x^{2} - 54 x \leq - 3 x - 210$
16597	Simplify	(12xy-8x+3y)+(15x-7y-8xy)	$(12 x y - 8 x + 3 y) + (15 x - 7 y - 8 x y)$
16598	Evaluate	1*2^-1	$1 \cdot 2^{- 1}$
16599	Solve for x	5x^2-9-3x^2+4=27	$5 x^{2} - 9 - 3 x^{2} + 4 = 27$
16600	Add	2/4+6/8	$\frac{2}{4} + \frac{6}{8}$