Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29801	Simplify	(4x^7y)/( cube root of 27x^3y^5)	$\frac{4 x^{7} y}{\sqrt[3]{27 x^{3} y^{5}}}$
29802	Simplify	(2x square root of 6)÷( square root of x)	$2 x \sqrt{6} \div \sqrt{x}$
29803	Factor	(x^2-4)*2-4(x^2-4)-96	$(x^{2} - 4) \cdot 2 - 4 (x^{2} - 4) - 96$
29804	Simplify	(2x^3)/(4x^3*3x^3y^4)	$\frac{2 x^{3}}{4 x^{3} \cdot 3 x^{3} y^{4}}$
29805	Combine Like Terms	0.25(2/3y-5+1/3y-7-9y)	$0.25 (\frac{2}{3} y - 5 + \frac{1}{3} y - 7 - 9 y)$
29806	Write in Standard Form	p(p-5)+6	$p (p - 5) + 6$
29807	Simplify	( square root of 10- square root of 5)/( square root of 5+ square root of 2)	$\frac{\sqrt{10} - \sqrt{5}}{\sqrt{5} + \sqrt{2}}$
29808	Simplify	22^38	$2 \cdot 2^{3} \cdot 8$
29809	Simplify the Radical Expression	(2^(12/5)x^2)^(5/3)	${(2^{\frac{12}{5}} x^{2})}^{\frac{5}{3}}$
29810	Solve for c	-1/4c-5=20	$- \frac{1}{4} c - 5 = 20$
29811	Evaluate	(4x^2+x)-(x^2+2x)	$(4 x^{2} + x) - (x^{2} + 2 x)$
29812	Solve for x	2x^4+32x^2+128=0	$2 x^{4} + 32 x^{2} + 128 = 0$
29813	Find the Derivative of the Integral	integral from 0 to square root of x of t with respect to t	$\int_{0}^{\sqrt{x}} t d t$
29814	Write in Standard Form	x^4+4x^by+ax^2y^2+4xy^3+y^4	$x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$
29815	Find Amplitude, Period, and Phase Shift	y=sin(1/3(x-pi/6))	$y = \sin (\frac{1}{3} (x - \frac{π}{6}))$
29816	Evaluate	10+3(12÷(3(2)))	$10 + 3 (12 \div (3 (2)))$
29817	Solve for x	(17-4x)/12=5	$\frac{17 - 4 x}{12} = 5$
29818	Graph	f(x)=2x-1 if x<1; 1+x if x>=1	$f (x) = {\begin{cases} 2 x - 1 & x < 1 \\ 1 + x & x \geq 1 \end{cases}$
29819	Find dy/dx	y=sin(4x)-8x^2+9x+pi	$y = \sin (4 x) - 8 x^{2} + 9 x + π$
29820	Solve for x	-5x-3x-4=-8x+2	$- 5 x - 3 x - 4 = - 8 x + 2$
29821	Convert to a Percentage	0.5 as a percentage	$0.5$ as a percentage
29822	Solve for n	\|-2-4n\|=34	$\| - 2 - 4 n \| = 34$
29823	Find the Antiderivative	4/(x^2)+2x-3x^2	$\frac{4}{x^{2}} + 2 x - 3 x^{2}$
29824	Solve the Inequality for x	2(x-5)>2x+3	$2 (x - 5) > 2 x + 3$
29825	Solve for m	fourth root of m+2+5=10	$\sqrt[4]{m + 2} + 5 = 10$
29826	Evaluate	i^20*i^41	$i^{20} \cdot i^{41}$
29827	Evaluate	(7^2-5^2)/-4-(8-5)^2	$\frac{7^{2} - 5^{2}}{- 4} - {(8 - 5)}^{2}$
29828	Combine Like Terms	6x^2-5x+12+3x^2+4x-7	$6 x^{2} - 5 x + 12 + 3 x^{2} + 4 x - 7$
29829	Write in Slope-Intercept Form	(5,0) and (-1,4)	$(5, 0)$ and $(- 1, 4)$
29830	Find the Roots (Zeros)	2x^3+5x^2+4x+1=0	$2 x^{3} + 5 x^{2} + 4 x + 1 = 0$
29831	Find the Antiderivative	1/( square root of X^3)	$\frac{1}{\sqrt{X^{3}}}$
29832	Simplify	2(32-(4-1)^3)	$2 (32 - {(4 - 1)}^{3})$
29833	Find dx/dy	y=x natural log of x	$y = x \ln (x)$
29834	Convert to a Decimal	tan(90)deg	$\tan (90)$ degrees
29835	Solve the Inequality for u	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$
29836	Multiply	2 square root of 6* square root of 3	$2 \sqrt{6} \cdot \sqrt{3}$
29837	Solve for b	4(b-2)-10=2(b+3)	$4 (b - 2) - 10 = 2 (b + 3)$
29838	Solve the Inequality for w	w/-5>=9	$\frac{w}{- 5} \geq 9$
29839	Evaluate the Limit	limit as x approaches infinity of 1/x+4cos(5/x)	$lim_{x \to \infty} \frac{1}{x} + 4 \cos (\frac{5}{x})$
29840	Solve for m	m/(m+6)+8/(m+2)=1	$\frac{m}{m + 6} + \frac{8}{m + 2} = 1$
29841	Find the Integral	xe^(2x)dx	$x e^{2 x} d x$
29842	Find the Product	(7b^5-b^2)^2	${(7 b^{5} - b^{2})}^{2}$
29843	Simplify the Radical Expression	( square root of 2- square root of 10)/( square root of 2+ square root of 10)	$\frac{\sqrt{2} - \sqrt{10}}{\sqrt{2} + \sqrt{10}}$
29844	Simplify the Radical Expression	square root of cube root of 8000	$\sqrt{\sqrt[3]{8000}}$
29845	Graph	y=-tgx	$y = - t g x$
29846	Simplify	(3/(x^2+5x)+4/(x^2+6x+5))/((14x^2-22x-12)/(x^2-25))	$\frac{\frac{3}{x^{2} + 5 x} + \frac{4}{x^{2} + 6 x + 5}}{\frac{14 x^{2} - 22 x - 12}{x^{2} - 25}}$
29847	Simplify	( square root of 128x^3b^5)/( square root of 2xy^2)	$\frac{\sqrt{128 x^{3} b^{5}}}{\sqrt{2 x y^{2}}}$
29848	Simplify	-6x^4+1+2x^4+5	$- 6 x^{4} + 1 + 2 x^{4} + 5$
29849	Evaluate	-(-1)^2+(-1)	$- {(- 1)}^{2} + (- 1)$
29850	Simplify	11c^5-9c^6+15c^5-13c^6+5c^6	$11 c^{5} - 9 c^{6} + 15 c^{5} - 13 c^{6} + 5 c^{6}$
29851	Find the Derivative - d/dx	x-x^2cos(x)	$x - x^{2} \cos (x)$
29852	Simplify	(3y)/(y^2+3y-10)-5/(2y+10)	$\frac{3 y}{y^{2} + 3 y - 10} - \frac{5}{2 y + 10}$
29853	Graph	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
29854	Solve the Absolute Value Inequality for x	\|x/4-3\|=1	$\| \frac{x}{4} - 3 \| = 1$
29855	Find the Variance	{2,4,6,8,10,12}	${2, 4, 6, 8, 10, 12}$
29856	Solve for x	2=(1/2)^x	$2 = {(\frac{1}{2})}^{x}$
29857	Find the Vertex	x^2+2y=8x-7	$x^{2} + 2 y = 8 x - 7$
29858	Simplify the Radical Expression	15 root of x^12	$\sqrt[15]{x^{12}}$
29859	Simplify	fourth root of (64w^10x^15y^18z^8)/(w^2x^3y^2)	$\sqrt[4]{\frac{64 w^{10} x^{15} y^{18} z^{8}}{w^{2} x^{3} y^{2}}}$
29860	Simplify	((7ab^-2)/(b^3))^2	${(\frac{7 a b^{- 2}}{b^{3}})}^{2}$
29861	Simplify	cube root of fourth root of 5^12	$\sqrt[3]{\sqrt[4]{5^{12}}}$
29862	Rationalize the Denominator	(12 square root of x)/(4x^3)	$\frac{12 \sqrt{x}}{4 x^{3}}$
29863	Simplify	(12x^3(5-2x))/(18x(2x-5))	$\frac{12 x^{3} (5 - 2 x)}{18 x (2 x - 5)}$
29864	Divide	(5c+10)/-5	$\frac{5 c + 10}{- 5}$
29865	Graph	(-1/2,-1/2)	$(- \frac{1}{2}, - \frac{1}{2})$
29866	Solve for t	t+-1=-20	$t + - 1 = - 20$
29867	Find Amplitude, Period, and Phase Shift	y=2cos(pi/2x+pi/6)	$y = 2 \cos (\frac{π}{2} x + \frac{π}{6})$
29868	Solve the Function Operation	Given that f(x)=x^2-17x+70 and g(x)=x-10 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 17 x + 70$ and $g (x) = x - 10$ ; find $f (x) + g (x)$ and express the result in standard form.
29869	Graph	y=4-x if x<2; x+3 if x>=2	$y = {\begin{cases} 4 - x & x < 2 \\ x + 3 & x \geq 2 \end{cases}$
29870	Solve for x	-3(6-x)+4=4-5(x+2)	$- 3 (6 - x) + 4 = 4 - 5 (x + 2)$
29871	Simplify	(26x^-7y^5z^12)/(13x^4y^0z^8)	$\frac{26 x^{- 7} y^{5} z^{12}}{13 x^{4} y^{0} z^{8}}$
29872	Find the Exact Value	csc(pi/2)+cos(pi/2)	$\csc (\frac{π}{2}) + \cos (\frac{π}{2})$
29873	Solve the Inequality for y	2(y+6)<=3y	$2 (y + 6) \leq 3 y$
29874	Solve for y	1/5(45y-5)=6y-20	$\frac{1}{5} (45 y - 5) = 6 y - 20$
29875	Graph	y=1/3cos(5)(x+4)-8	$y = \frac{1}{3} \cos (5) (x + 4) - 8$
29876	Solve the Function Operation	f(x)=4x ; find f(-15)	$f (x) = 4 x$ ; find $f (- 15)$
29877	Simplify the Radical Expression	square root of cube root of x^10	$\sqrt{\sqrt[3]{x^{10}}}$
29878	Find dy/dx	4x=-2y^2+xy	$4 x = - 2 y^{2} + x y$
29879	Simplify	1/2 square root of 3*1/2 square root of 3	$\frac{1}{2} \sqrt{3} \cdot \frac{1}{2} \sqrt{3}$
29880	Find the Equation Using Two Points	(-12,14) and (6,-1)	$(- 12, 14)$ and $(6, - 1)$
29881	Simplify	fifth root of 125/(w^6)* fifth root of 25v	$\sqrt[5]{\frac{125}{w^{6}}} \cdot \sqrt[5]{25 v}$
29882	Write in Exponential Form	( eighth root of (4a)^3)^8	${(\sqrt[8]{{(4 a)}^{3}})}^{8}$
29883	Simplify	((5x^6)/(x^2y))÷((10x^2)/y)	$\frac{5 x^{6}}{x^{2} y} \div \frac{10 x^{2}}{y}$
29884	Graph	y=1+1/2 cube root of x-2	$y = 1 + \frac{1}{2} \sqrt[3]{x - 2}$
29885	Simplify	2/(5 square root of 2-2 square root of 3)	$\frac{2}{5 \sqrt{2} - 2 \sqrt{3}}$
29886	Find the Sine of the Angle	(4pi)/3	$\frac{4 π}{3}$
29887	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-4) and has a slope of -3/5 ?	What is the equation of the line that passes through the point $(- 5, - 4)$ and has a slope of $- \frac{3}{5}$ ?
29888	Find the Asymptotes	(2(3x+8)(3x-8))/(3(x+2)(x-2))	$\frac{2 (3 x + 8) (3 x - 8)}{3 (x + 2) (x - 2)}$
29889	Simplify	(a^(5/4)(2a^(3/4))^3)/(a^(1/4))	$\frac{a^{\frac{5}{4}} {(2 a^{\frac{3}{4}})}^{3}}{a^{\frac{1}{4}}}$
29890	Solve for x	9^(x+1/2)-4*3^x+1=0	$9^{x + \frac{1}{2}} - 4 \cdot 3^{x} + 1 = 0$
29891	Evaluate the Limit	limit as x approaches negative infinity of (1+1/x)^x	$lim_{x \to - \infty} {(1 + \frac{1}{x})}^{x}$
29892	Find the First Term	a_n=4+(-1)^n	$a_{n} = 4 + {(- 1)}^{n}$
29893	Simplify the Radical Expression	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
29894	Find the x and y Intercepts	5(x-2)=12-y	$5 (x - 2) = 12 - y$
29895	Simplify	(2x- square root of 5)( square root of x+1)	$(2 x - \sqrt{5}) (\sqrt{x} + 1)$
29896	Find the Antiderivative	(x+1)/(x^2-3x+2)	$\frac{x + 1}{x^{2} - 3 x + 2}$
29897	Graph	2y<-12x+4 y<-6x+4	$2 y < - 12 x + 4$ $y < - 6 x + 4$
29898	Solve for x	g(-x)=x^2	$g (- x) = x^{2}$
29899	Find the Axis of Symmetry	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
29900	Evaluate Using Scientific Notation	(310^2)(1.510^-5)	$(3 \times 10^{2}) (1.5 \times 10^{- 5})$