Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223601	Solve the System of Inequalities	x/4>=-1 and -4x-4<=-3	$\frac{x}{4} \geq - 1$ and $- 4 x - 4 \leq - 3$
223602	Simplify the Radical Expression	fourth root of k^5*k	$\sqrt[4]{k^{5} \cdot k}$
223603	Evaluate	(x*x^-2)/x	$\frac{x \cdot x^{- 2}}{x}$
223604	Describe the Transformation	f(x)=(1/2)^x+5 , g(x)=(1/2)^x	$f (x) = {(\frac{1}{2})}^{x} + 5$ , $g (x) = {(\frac{1}{2})}^{x}$
223605	Solve for x	natural log of x^2-x+2 = natural log of 4	$\ln (x^{2} - x + 2) = \ln (4)$
223606	Graph	y=-(x^2-1)(2x^2-3)	$y = - (x^{2} - 1) (2 x^{2} - 3)$
223607	Simplify the Radical Expression	9 square root of 200x^3+x square root of 2x	$9 \sqrt{200 x^{3}} + x \sqrt{2 x}$
223608	Simplify	(10x^3)/(8y^3)(16x)/(15y^2)(15y^4)/(x^3)	$\frac{10 x^{3}}{8 y^{3}} \cdot \frac{16 x}{15 y^{2}} \cdot \frac{15 y^{4}}{x^{3}}$
223609	Divide	(6 square root of 18)/(12 square root of 40)	$\frac{6 \sqrt{18}}{12 \sqrt{40}}$
223610	Solve the System of Equations	2x+2y=-8 and 3x+3y=-12	$2 x + 2 y = - 8$ and $3 x + 3 y = - 12$
223611	Simplify the Radical Expression	square root of 2( square root of 5-6 square root of 12)+ square root of 40	$\sqrt{2} (\sqrt{5} - 6 \sqrt{12}) + \sqrt{40}$
223612	Find the Exact Value	arccos(sec(pi))	$\arccos (\sec (π))$
223613	Evaluate	-1+ natural log of e^4	$- 1 + \ln (e^{4})$
223614	Solve the Rational Equation for x	(x+4)/(x-1)=(-x^2+3x+12)/((x+3)(x-1))	$\frac{x + 4}{x - 1} = \frac{- x^{2} + 3 x + 12}{(x + 3) (x - 1)}$
223615	Simplify the Radical Expression	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
223616	Graph	y=(1+x)^(1/x)	$y = {(1 + x)}^{\frac{1}{x}}$
223617	Simplify the Radical Expression	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
223618	Solve for k	natural log of 2+ natural log of k-4=1/3	$\ln (2) + \ln (k - 4) = \frac{1}{3}$
223619	Simplify	(4x^7y)/( cube root of 27x^3y^5)	$\frac{4 x^{7} y}{\sqrt[3]{27 x^{3} y^{5}}}$
223620	Simplify	(2x square root of 6)÷( square root of x)	$2 x \sqrt{6} \div \sqrt{x}$
223621	Factor	(x^2-4)*2-4(x^2-4)-96	$(x^{2} - 4) \cdot 2 - 4 (x^{2} - 4) - 96$
223622	Simplify	(2x^3)/(4x^3*3x^3y^4)	$\frac{2 x^{3}}{4 x^{3} \cdot 3 x^{3} y^{4}}$
223623	Combine Like Terms	0.25(2/3y-5+1/3y-7-9y)	$0.25 (\frac{2}{3} y - 5 + \frac{1}{3} y - 7 - 9 y)$
223624	Write in Standard Form	p(p-5)+6	$p (p - 5) + 6$
223625	Simplify	( square root of 10- square root of 5)/( square root of 5+ square root of 2)	$\frac{\sqrt{10} - \sqrt{5}}{\sqrt{5} + \sqrt{2}}$
223626	Simplify	22^38	$2 \cdot 2^{3} \cdot 8$
223627	Simplify the Radical Expression	(2^(12/5)x^2)^(5/3)	${(2^{\frac{12}{5}} x^{2})}^{\frac{5}{3}}$
223628	Solve for c	-1/4c-5=20	$- \frac{1}{4} c - 5 = 20$
223629	Evaluate	(4x^2+x)-(x^2+2x)	$(4 x^{2} + x) - (x^{2} + 2 x)$
223630	Solve for x	2x^4+32x^2+128=0	$2 x^{4} + 32 x^{2} + 128 = 0$
223631	Write in Standard Form	x^4+4x^by+ax^2y^2+4xy^3+y^4	$x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$
223632	Evaluate	10+3(12÷(3(2)))	$10 + 3 (12 \div (3 (2)))$
223633	Solve for x	(17-4x)/12=5	$\frac{17 - 4 x}{12} = 5$
223634	Graph	f(x)=2x-1 if x<1; 1+x if x>=1	$f (x) = {\begin{cases} 2 x - 1 & x < 1 \\ 1 + x & x \geq 1 \end{cases}$
223635	Solve for x	-5x-3x-4=-8x+2	$- 5 x - 3 x - 4 = - 8 x + 2$
223636	Convert to a Percentage	0.5 as a percentage	$0.5$ as a percentage
223637	Solve for n	\|-2-4n\|=34	$\| - 2 - 4 n \| = 34$
223638	Solve the Inequality for x	2(x-5)>2x+3	$2 (x - 5) > 2 x + 3$
223639	Solve for m	fourth root of m+2+5=10	$\sqrt[4]{m + 2} + 5 = 10$
223640	Evaluate	i^20*i^41	$i^{20} \cdot i^{41}$
223641	Evaluate	(7^2-5^2)/-4-(8-5)^2	$\frac{7^{2} - 5^{2}}{- 4} - {(8 - 5)}^{2}$
223642	Combine Like Terms	6x^2-5x+12+3x^2+4x-7	$6 x^{2} - 5 x + 12 + 3 x^{2} + 4 x - 7$
223643	Write in Slope-Intercept Form	(5,0) and (-1,4)	$(5, 0)$ and $(- 1, 4)$
223644	Find the Roots (Zeros)	2x^3+5x^2+4x+1=0	$2 x^{3} + 5 x^{2} + 4 x + 1 = 0$
223645	Simplify	2(32-(4-1)^3)	$2 (32 - {(4 - 1)}^{3})$
223646	Convert to a Decimal	tan(90)deg	$\tan (90)$ degrees
223647	Solve the Inequality for u	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$
223648	Multiply	2 square root of 6* square root of 3	$2 \sqrt{6} \cdot \sqrt{3}$
223649	Solve for b	4(b-2)-10=2(b+3)	$4 (b - 2) - 10 = 2 (b + 3)$
223650	Solve the Inequality for w	w/-5>=9	$\frac{w}{- 5} \geq 9$
223651	Solve for m	m/(m+6)+8/(m+2)=1	$\frac{m}{m + 6} + \frac{8}{m + 2} = 1$
223652	Find the Product	(7b^5-b^2)^2	${(7 b^{5} - b^{2})}^{2}$
223653	Simplify the Radical Expression	( square root of 2- square root of 10)/( square root of 2+ square root of 10)	$\frac{\sqrt{2} - \sqrt{10}}{\sqrt{2} + \sqrt{10}}$
223654	Simplify the Radical Expression	square root of cube root of 8000	$\sqrt{\sqrt[3]{8000}}$
223655	Graph	y=-tgx	$y = - t g x$
223656	Simplify	(3/(x^2+5x)+4/(x^2+6x+5))/((14x^2-22x-12)/(x^2-25))	$\frac{\frac{3}{x^{2} + 5 x} + \frac{4}{x^{2} + 6 x + 5}}{\frac{14 x^{2} - 22 x - 12}{x^{2} - 25}}$
223657	Simplify	( square root of 128x^3b^5)/( square root of 2xy^2)	$\frac{\sqrt{128 x^{3} b^{5}}}{\sqrt{2 x y^{2}}}$
223658	Simplify	-6x^4+1+2x^4+5	$- 6 x^{4} + 1 + 2 x^{4} + 5$
223659	Evaluate	-(-1)^2+(-1)	$- {(- 1)}^{2} + (- 1)$
223660	Simplify	11c^5-9c^6+15c^5-13c^6+5c^6	$11 c^{5} - 9 c^{6} + 15 c^{5} - 13 c^{6} + 5 c^{6}$
223661	Simplify	(3y)/(y^2+3y-10)-5/(2y+10)	$\frac{3 y}{y^{2} + 3 y - 10} - \frac{5}{2 y + 10}$
223662	Graph	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
223663	Solve the Absolute Value Inequality for x	\|x/4-3\|=1	$\| \frac{x}{4} - 3 \| = 1$
223664	Solve for x	2=(1/2)^x	$2 = {(\frac{1}{2})}^{x}$
223665	Simplify the Radical Expression	15 root of x^12	$\sqrt[15]{x^{12}}$
223666	Simplify	fourth root of (64w^10x^15y^18z^8)/(w^2x^3y^2)	$\sqrt[4]{\frac{64 w^{10} x^{15} y^{18} z^{8}}{w^{2} x^{3} y^{2}}}$
223667	Simplify	((7ab^-2)/(b^3))^2	${(\frac{7 a b^{- 2}}{b^{3}})}^{2}$
223668	Simplify	cube root of fourth root of 5^12	$\sqrt[3]{\sqrt[4]{5^{12}}}$
223669	Rationalize the Denominator	(12 square root of x)/(4x^3)	$\frac{12 \sqrt{x}}{4 x^{3}}$
223670	Simplify	(12x^3(5-2x))/(18x(2x-5))	$\frac{12 x^{3} (5 - 2 x)}{18 x (2 x - 5)}$
223671	Divide	(5c+10)/-5	$\frac{5 c + 10}{- 5}$
223672	Graph	(-1/2,-1/2)	$(- \frac{1}{2}, - \frac{1}{2})$
223673	Solve for t	t+-1=-20	$t + - 1 = - 20$
223674	Graph	y=4-x if x<2; x+3 if x>=2	$y = {\begin{cases} 4 - x & x < 2 \\ x + 3 & x \geq 2 \end{cases}$
223675	Solve for x	-3(6-x)+4=4-5(x+2)	$- 3 (6 - x) + 4 = 4 - 5 (x + 2)$
223676	Simplify	(26x^-7y^5z^12)/(13x^4y^0z^8)	$\frac{26 x^{- 7} y^{5} z^{12}}{13 x^{4} y^{0} z^{8}}$
223677	Find the Exact Value	csc(pi/2)+cos(pi/2)	$\csc (\frac{π}{2}) + \cos (\frac{π}{2})$
223678	Solve the Inequality for y	2(y+6)<=3y	$2 (y + 6) \leq 3 y$
223679	Solve for y	1/5(45y-5)=6y-20	$\frac{1}{5} (45 y - 5) = 6 y - 20$
223680	Graph	y=1/3cos(5)(x+4)-8	$y = \frac{1}{3} \cos (5) (x + 4) - 8$
223681	Simplify the Radical Expression	square root of cube root of x^10	$\sqrt{\sqrt[3]{x^{10}}}$
223682	Simplify	1/2 square root of 3*1/2 square root of 3	$\frac{1}{2} \sqrt{3} \cdot \frac{1}{2} \sqrt{3}$
223683	Find the Equation Using Two Points	(-12,14) and (6,-1)	$(- 12, 14)$ and $(6, - 1)$
223684	Simplify	fifth root of 125/(w^6)* fifth root of 25v	$\sqrt[5]{\frac{125}{w^{6}}} \cdot \sqrt[5]{25 v}$
223685	Write in Exponential Form	( eighth root of (4a)^3)^8	${(\sqrt[8]{{(4 a)}^{3}})}^{8}$
223686	Simplify	((5x^6)/(x^2y))÷((10x^2)/y)	$\frac{5 x^{6}}{x^{2} y} \div \frac{10 x^{2}}{y}$
223687	Graph	y=1+1/2 cube root of x-2	$y = 1 + \frac{1}{2} \sqrt[3]{x - 2}$
223688	Simplify	2/(5 square root of 2-2 square root of 3)	$\frac{2}{5 \sqrt{2} - 2 \sqrt{3}}$
223689	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 $- \frac{3}{5}$ ?
223690	Simplify	(a^(5/4)(2a^(3/4))^3)/(a^(1/4))	$\frac{a^{\frac{5}{4}} {(2 a^{\frac{3}{4}})}^{3}}{a^{\frac{1}{4}}}$
223691	Solve for x	9^(x+1/2)-4*3^x+1=0	$9^{x + \frac{1}{2}} - 4 \cdot 3^{x} + 1 = 0$
223692	Find the First Term	a_n=4+(-1)^n	$a_{n} = 4 + {(- 1)}^{n}$
223693	Simplify the Radical Expression	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
223694	Find the x and y Intercepts	5(x-2)=12-y	$5 (x - 2) = 12 - y$
223695	Simplify	(2x- square root of 5)( square root of x+1)	$(2 x - \sqrt{5}) (\sqrt{x} + 1)$
223696	Graph	2y<-12x+4 y<-6x+4	$2 y < - 12 x + 4$ $y < - 6 x + 4$
223697	Solve for x	g(-x)=x^2	$g (- x) = x^{2}$
223698	Find the Axis of Symmetry	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
223699	Evaluate Using Scientific Notation	(310^2)(1.510^-5)	$(3 \times 10^{2}) (1.5 \times 10^{- 5})$
223700	Find the Degree, Leading Term, and Leading Coefficient	y=-2x^2-3x+4	$y = - 2 x^{2} - 3 x + 4$