Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44801	Simplify	((x^2-16)^6)/((x^2-8x+16) square root of x+4)	$\frac{{(x^{2} - 16)}^{6}}{(x^{2} - 8 x + 16) \sqrt{x + 4}}$
44802	Find the First Term	a_n=11/8+1/2n	$a_{n} = \frac{11}{8} + \frac{1}{2} n$
44803	Solve for x	7+2/x<-5/x	$7 + \frac{2}{x} < \frac{- 5}{x}$
44804	Evaluate the Integral	integral of (2x+1)(x-6)^2 with respect to x	$\int (2 x + 1) {(x - 6)}^{2} d x$
44805	Simplify	x+5(6+x)	$x + 5 (6 + x)$
44806	Solve for u	5u+23=6u+4u-17	$5 u + 23 = 6 u + 4 u - 17$
44807	Solve for x	\|2x-3\|=0	$\| 2 x - 3 \| = 0$
44808	Solve the Inequality for x	\|x\|>-2	$\| x \| > - 2$
44809	Solve for w	6/(3w-18)-3=2/(w-6)	$\frac{6}{3 w - 18} - 3 = \frac{2}{w - 6}$
44810	Write in Standard Form	1/2y=3x-9	$\frac{1}{2} y = 3 x - 9$
44811	Solve for m	7 1/9=2 4/5+m	$7 \frac{1}{9} = 2 \frac{4}{5} + m$
44812	Find the Product	2x^5y*3x^2y	$2 x^{5} y \cdot 3 x^{2} y$
44813	Solve the Absolute Value Inequality for x	\|x\|>-2	$\| x \| > - 2$
44814	Find the Domain	3/(a+b)	$\frac{3}{a + b}$
44815	Evaluate the Limit	limit as x approaches 5 of ( square root of x+11)/( square root of x-1)	$lim_{x \to 5} \frac{\sqrt{x + 11}}{\sqrt{x - 1}}$
44816	Find Where Increasing/Decreasing	f(x)=4/(x^2-2x-3)	$f (x) = \frac{4}{x^{2} - 2 x - 3}$
44817	Evaluate the Integral	integral from 0 to 2 of pi(2x)^2 with respect to x	$\int_{0}^{2} π {(2 x)}^{2} d x$
44818	Simplify	4-3x^2-9x-7+x^2	$4 - 3 x^{2} - 9 x - 7 + x^{2}$
44819	Evaluate	a+1/(a^2)	$a + \frac{1}{a^{2}}$
44820	Evaluate	-3/(-3^2+1)	$\frac{- 3}{- 3^{2} + 1}$
44821	Simplify	4/(3x)+8/(x^3)+2/(5xy)	$\frac{4}{3 x} + \frac{8}{x^{3}} + \frac{2}{5 x y}$
44822	Solve the System of Equations	-x-4y+8=0 x+4y=8	$- x - 4 y + 8 = 0$ $x + 4 y = 8$
44823	Find the Derivative - d/dx	1+ log of x	$1 + \log (x)$
44824	Solve the Differential Equation	y''+3y'+2y=6	$y'' + 3 y' + 2 y = 6$
44825	Divide	x÷(-2)	$x \div (- 2)$
44826	Evaluate the Integral	integral of 4/( cube root of 2x+1) with respect to x	$\int \frac{4}{\sqrt[3]{2 x + 1}} d x$
44827	Divide	((32^(4/5))/(32^(3/5)))^-1	${(\frac{32^{\frac{4}{5}}}{32^{\frac{3}{5}}})}^{- 1}$
44828	Find the Derivative - d/dx	d/(dx)( integral from 0 to x^2 of sin(t^3) with respect to t)	$\frac{d}{d x} (\int_{0}^{x^{2}} \sin (t^{3}) d t)$
44829	Simplify	(6^3*w)/(6^2)	$\frac{6^{3} \cdot w}{6^{2}}$
44830	Solve the System of Equations	y=x^2 x^2+2y=12	$y = x^{2}$ $x^{2} + 2 y = 12$
44831	Solve the Function Operation	Given that f(x)=x^2+3x-10 and g(x)=x-2 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 10$ and $g (x) = x - 2$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
44832	Identify the Sequence	3 , 3/2 , 3/4 , 3/8	$3$ , $\frac{3}{2}$ , $\frac{3}{4}$ , $\frac{3}{8}$
44833	Solve for k	2* log base 4 of k=4	$2 \cdot \log_{4} (k) = 4$
44834	Evaluate	(1-1/2)	$(1 - \frac{1}{2})$
44835	Solve the Inequality for x	-3/8x-2<-13+17	$- \frac{3}{8} x - 2 < - 13 + 17$
44836	Evaluate	1/( square root of y+6)=-3/(y+2)	$\frac{1}{\sqrt{y + 6}} = - \frac{3}{y + 2}$
44837	Simplify the Radical Expression	( square root of 5-7)( square root of 5-7)	$(\sqrt{5} - 7) (\sqrt{5} - 7)$
44838	Evaluate	1/(-4^-3)	$\frac{1}{- 4^{- 3}}$
44839	Find dy/dx	y=(4x^3+8)(2x^7-3)	$y = (4 x^{3} + 8) (2 x^{7} - 3)$
44840	Evaluate	( log base 4 of 64)/( log base 4 of 4)	$\frac{\log_{4} (64)}{\log_{4} (4)}$
44841	Find the Parabola with Focus (-4,8) and Directrix x=-6	(-4,8) x=-6	$(- 4, 8)$ $x = - 6$
44842	Find the Equation Using Point-Slope Formula	(2,3) and (5,4)	$(2, 3)$ and $(5, 4)$
44843	Simplify	10*(3.5+3s-4.5)	$10 \times (3.5 + 3 s - 4.5)$
44844	Simplify	10-(3-7(9+x))	$10 - (3 - 7 (9 + x))$
44845	Simplify	x^0y^0	$x^{0} y^{0}$
44846	Graph	g(x)=2f(x-3)-1	$g (x) = 2 f (x - 3) - 1$
44847	Solve for x	tan(x+pi/6)=-3	$\tan (x + \frac{π}{6}) = - 3$
44848	Simplify the Radical Expression	(x^(1/2))/(x^(-2/3))	$\frac{x^{\frac{1}{2}}}{x^{- \frac{2}{3}}}$
44849	Evaluate	3=x+3-5x	$3 = x + 3 - 5 x$
44850	Graph	10>2x-4 or 2x-4>=20	$10 > 2 x - 4$ or $2 x - 4 \geq 20$
44851	Solve for x	(5cos(x)-3sin(x))^2+16sin(x)^2=25	${(5 \cos (x) - 3 \sin (x))}^{2} + 16 \sin^{2} (x) = 25$
44852	Evaluate	find the value of cube root of 64	find the value of $\sqrt[3]{64}$
44853	Simplify the Radical Expression	square root of 16/4	$\sqrt{\frac{16}{4}}$
44854	Find the x and y Intercepts	y=-(x-3)^2(x+2)(x-1)	$y = - {(x - 3)}^{2} (x + 2) (x - 1)$
44855	Find the Concavity	f(x)=-0.5*x^4+3x^2	$f (x) = - 0.5 \cdot x^{4} + 3 x^{2}$
44856	Simplify	((2i)/n)^2	${(\frac{2 i}{n})}^{2}$
44857	Solve for x	1599=16x-0.04x^2	$1599 = 16 x - 0.04 x^{2}$
44858	Find the Square Roots of a Complex Number	20-21i	$20 - 21 i$
44859	Solve for x	2+6x=x-1	$2 + 6 x = x - 1$
44860	Evaluate	2+ square root of m-2=7	$2 + \sqrt{m - 2} = 7$
44861	Simplify	(7x^4+11x^3-x^2-8x+6)-(-12x^4+9x^2-15)	$(7 x^{4} + 11 x^{3} - x^{2} - 8 x + 6) - (- 12 x^{4} + 9 x^{2} - 15)$
44862	Simplify	2(x+y)(x-y)	$2 (x + y) (x - y)$
44863	Simplify	(-p^2+4p)-(p^2-3p+15)	$(- p^{2} + 4 p) - (p^{2} - 3 p + 15)$
44864	Evaluate the Limit	limit as x approaches 2 of 3f(x)^2+g(x)	$lim_{x \to 2} 3 f {(x)}^{2} + g (x)$
44865	Simplify	square root of 12m* square root of 15m	$\sqrt{12 m} \cdot \sqrt{15 m}$
44866	Evaluate	cos(arcsin(9x))	$\cos (\arcsin (9 x))$
44867	Graph	x*y=0	$x \cdot y = 0$
44868	Solve the Inequality for d	-12d+4>=-2	$- 12 d + 4 \geq - 2$
44869	Simplify	(((a^6)/(5b^-1))^2*(b/(9a^-11))^-1)^-3	${({(\frac{a^{6}}{5 b^{- 1}})}^{2} \cdot {(\frac{b}{9 a^{- 11}})}^{- 1})}^{- 3}$
44870	Find the Exact Value	sin(pi/3+arccos(4/5))	$\sin (\frac{π}{3} + \arccos (\frac{4}{5}))$
44871	Graph	-(2x+3)(x-1)^2	$- (2 x + 3) {(x - 1)}^{2}$
44872	Find the Axis of Symmetry	49x^2+16y^2=784	$49 x^{2} + 16 y^{2} = 784$
44873	Solve for x	log of 2x^2+3x = log of 6x+2	$\log (2 x^{2} + 3 x) = \log (6 x + 2)$
44874	Simplify	(x^2+x)+(x^2)	$(x^{2} + x) + (x^{2})$
44875	Graph	S(t)=2 square root of x-3+1	$S (t) = 2 \sqrt{x - 3} + 1$
44876	Find the Roots (Zeros)	0=x^3+9x^2-7x-63	$0 = x^{3} + 9 x^{2} - 7 x - 63$
44877	Simplify	(2x-7y)/(2x^2y)-(5y-8x)/(5xy^2)	$\frac{(2 x - 7 y)}{2 x^{2} y} - \frac{(5 y - 8 x)}{5 x y^{2}}$
44878	Simplify	(i square root of -32)(i square root of -27)	$(i \sqrt{- 32}) (i \sqrt{- 27})$
44879	Find Amplitude, Period, and Phase Shift	f(x)=sin(2(x-pi/2))+1	$f (x) = \sin (2 (x - \frac{π}{2})) + 1$
44880	Simplify the Radical Expression	square root of 80x^3yz^5	$\sqrt{80 x^{3} y z^{5}}$
44881	Determine if a Polynomial	-x^4+1-1/4x^2	$- x^{4} + 1 - \frac{1}{4} x^{2}$
44882	Find the Asymptotes	y=(3x-6)/(x^2-7x+10)	$y = \frac{3 x - 6}{x^{2} - 7 x + 10}$
44883	Find the Exact Value	sin(pi/3)cos(pi/3)-tan(pi/3)	$\sin (\frac{π}{3}) \cos (\frac{π}{3}) - \tan (\frac{π}{3})$
44884	Convert to Interval Notation	1/4b-1/5b>3/10b-1/2	$\frac{1}{4} b - \frac{1}{5} b > \frac{3}{10} b - \frac{1}{2}$
44885	Simplify the Radical Expression	fourth root of 5^3* sixth root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$
44886	Solve the Inequality for x	3-8x>=9+2(1-4x)	$3 - 8 x \geq 9 + 2 (1 - 4 x)$
44887	Find the Antiderivative	(x^3)/(x+2)	$\frac{x^{3}}{x + 2}$
44888	Find the Exact Value	1/2*2/( square root of 3)	$\frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
44889	Simplify	((2a^-2b^5)/(4a^2b^7))^-2	${(\frac{2 a^{- 2} b^{5}}{4 a^{2} b^{7}})}^{- 2}$
44890	Solve for x	1/2(6x+20)=x+4+2(x+3)	$\frac{1}{2} (6 x + 20) = x + 4 + 2 (x + 3)$
44891	Find the GCF	24 and 30	$24$ and $30$
44892	Find the Domain	x natural log of x	$x \ln (x)$
44893	Multiply	(2x-3y)(x+2y)	$(2 x - 3 y) (x + 2 y)$
44894	Multiply	square root of 5x^5* square root of 10a^2	$\sqrt{5 x^{5}} \cdot \sqrt{10 a^{2}}$
44895	Write in y=mx+b Form	x=2y	$x = 2 y$
44896	Evaluate	(6*6)^0	${(6 \cdot 6)}^{0}$
44897	Find the Excluded Values	(x^2-16)/(4x+5)	$\frac{x^{2} - 16}{4 x + 5}$
44898	Find the Asymptotes	((x+7)(x-3)(x+1))/((x-3)(x-5))	$\frac{(x + 7) (x - 3) (x + 1)}{(x - 3) (x - 5)}$
44899	Simplify	-(3/2)^2	$- {(\frac{3}{2})}^{2}$
44900	Evaluate Using Summation Formulas	limit as n approaches infinity of sum from j=1 to n of (9j)/(n^2)	$lim_{n \to \infty} \sum_{j = 1}^{n} \frac{9 j}{n^{2}}$