Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192901	Find the End Behavior	f(x)=(3x+1)(2x-3)(x+7)(x-3)	$f (x) = (3 x + 1) (2 x - 3) (x + 7) (x - 3)$
192902	Evaluate	(3x+y)^2	${(3 x + y)}^{2}$
192903	Solve the Inequality for z	-25z<=2	$- 25 z \leq 2$
192904	Simplify	(6x)/7-(2x)/7	$\frac{6 x}{7} - \frac{2 x}{7}$
192905	Simplify	(x+y+2)^2	${(x + y + 2)}^{2}$
192906	Solve for n	cube root of n=8	$\sqrt[3]{n} = 8$
192907	Solve for y	(10,y) and (3,4) , m=-2/7	$(10, y)$ and $(3, 4)$ , $m = - \frac{2}{7}$
192908	Find All Complex Solutions	x-37=x-37	$x - 37 = x - 37$
192909	Find the Roots (Zeros)	2x	$2 x$
192910	Simplify the Radical Expression	1/( cube root of x^2)	$\frac{1}{\sqrt[3]{x^{2}}}$
192911	Convert to a Decimal	250deg	$250$ degrees
192912	Simplify	log of 100- log of 10	$\log (100) - \log (10)$
192913	Find the Distance Between Two Points	(4,0) and (0,9)	$(4, 0)$ and $(0, 9)$
192914	Find the Exact Value	(tan((5pi)/4)+tan((7pi)/12))/(1-tan((5pi)/4)tan((7pi)/12))	$\frac{\tan (\frac{5 π}{4}) + \tan (\frac{7 π}{12})}{1 - \tan (\frac{5 π}{4}) \tan (\frac{7 π}{12})}$
192915	Solve for x	x+5/7<1/7	$x + \frac{5}{7} < \frac{1}{7}$
192916	Combine Like Terms	2(b+3c)	$2 (b + 3 c)$
192917	Simplify	(x^-1y^3)^-2	${(x^{- 1} y^{3})}^{- 2}$
192918	Divide	(-3x^2)÷x	$- 3 x^{2} \div x$
192919	Convert to a Decimal	1*10^-6	$1 \cdot 10^{- 6}$
192920	Simplify	(48^x)/(8^x)	$\frac{48^{x}}{8^{x}}$
192921	Simplify	(-15xz+4xy)+(20xy-9yz+16xz)	$(- 15 x z + 4 x y) + (20 x y - 9 y z + 16 x z)$
192922	Factor by Grouping	9-6x+x^2	$9 - 6 x + x^{2}$
192923	Graph	f(x)=(15x^3+b)/(3x^3+cx+d)	$f (x) = \frac{15 x^{3} + b}{3 x^{3} + c x + d}$
192924	Convert to a Simplified Fraction	0.5 as a fraction	$0.5$ as a fraction
192925	Evaluate	0+pi	$0 + π$
192926	Subtract	(-2a^2+a+6)-(-3a^2+2a-5)	$(- 2 a^{2} + a + 6) - (- 3 a^{2} + 2 a - 5)$
192927	Simplify	x-1/2x	$x - \frac{1}{2} x$
192928	Graph	y=pix	$y = π x$
192929	Factor	8x^2y+2x-8xy+2	$8 x^{2} y + 2 x - 8 x y + 2$
192930	Solve for x	\|2+5/x\|>1	$\| 2 + \frac{5}{x} \| > 1$
192931	Solve for x	5/(x+9)+(2x+7)/(x-9)=(3x)/(x-9)	$\frac{5}{x + 9} + \frac{2 x + 7}{x - 9} = \frac{3 x}{x - 9}$
192932	Graph	f(x)=1/2\|x-2\|	$f (x) = \frac{1}{2} \| x - 2 \|$
192933	Solve for x	10- square root of x=7	$10 - \sqrt{x} = 7$
192934	Factor	x^3+y^3+2x^2-2xy+2y^2	$x^{3} + y^{3} + 2 x^{2} - 2 x y + 2 y^{2}$
192935	Solve for v	K=(mv^2)/2	$K = \frac{m v^{2}}{2}$
192936	Solve for x	8x^3+125=0	$8 x^{3} + 125 = 0$
192937	Solve for x	(x+3)/(3x-2)-(x-3)/(3x+2)=176/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{176}{9 x^{2} - 4}$
192938	Evaluate	(3pi)÷2	$3 π \div 2$
192939	Solve for x	-x-(x-9)-1/2=3/2	$- x - (x - 9) - \frac{1}{2} = \frac{3}{2}$
192940	Solve the Inequality for x	x^2-2x<=3	$x^{2} - 2 x \leq 3$
192941	Solve the Inequality for x	(2x-2)/3>=2	$\frac{2 x - 2}{3} \geq 2$
192942	Solve for x	-1=(7x)/3+1	$- 1 = \frac{7 x}{3} + 1$
192943	Find the Function	f(x)=(1/5)^x	$f (x) = {(\frac{1}{5})}^{x}$
192944	Find f(g(x))	f(x)=x+3 and g(x)=x-3	$f (x) = x + 3$ and $g (x) = x - 3$
192945	Divide	((x^2-4x-5)/(x-2))÷((2x-10)/(x^2-4))	$\frac{x^{2} - 4 x - 5}{x - 2} \div \frac{2 x - 10}{x^{2} - 4}$
192946	Simplify	square root of 4( square root of 8+3)	$\sqrt{4} (\sqrt{8} + 3)$
192947	Simplify	(4+ square root of 121-23^3)/(\|-19-2-8\|)	$\frac{4 + \sqrt{121} - 2 \cdot 3^{3}}{\| - 19 - 2 \cdot - 8 \|}$
192948	Solve the Absolute Value Inequality for n	\|n/4\|<=3	$\| \frac{n}{4} \| \leq 3$
192949	Solve for θ	tan(theta)=-1/( square root of 3)	$\tan (θ) = - \frac{1}{\sqrt{3}}$
192950	Find Where Undefined/Discontinuous	f(x)=\|x\|	$f (x) = \| x \|$
192951	Graph	g(x)=-6,x<-2; (x+1)^4,x>=-2	$g (x) = {\begin{cases} - 6, x < - 2 \\ {(x + 1)}^{4}, x \geq - 2 \end{cases}$
192952	Evaluate	(x+2y)(x-2y)	$(x + 2 y) (x - 2 y)$
192953	Solve for p	2/(p^2)=4/(20-6p)	$\frac{2}{p^{2}} = \frac{4}{20 - 6 p}$
192954	Graph	f(x)=-10+x^2 if -4<=x<4	$f (x) = - 10 + x^{2}$ if $- 4 \leq x < 4$
192955	Solve for x	3=b/ax	$3 = \frac{b}{a} x$
192956	Solve for x	-2<=4+x	$- 2 \leq 4 + x$
192957	Determine the Possible Number of Real Roots	(x+1)^2(x-5)=0	${(x + 1)}^{2} (x - 5) = 0$
192958	Find the Domain and Range	f(x)=x/2+3	$f (x) = \frac{x}{2} + 3$
192959	Simplify	square root of 25	square root of $25$
192960	Simplify	(10x^2-40x)/(x^2+3x-28)*(x^2+6x-7)/(13x^2)	$\frac{10 x^{2} - 40 x}{x^{2} + 3 x - 28} \cdot \frac{x^{2} + 6 x - 7}{13 x^{2}}$
192961	Solve for x	-5x=-3/2+1/4(-4x-8)	$- 5 x = - \frac{3}{2} + \frac{1}{4} (- 4 x - 8)$
192962	Find the Domain and Range	y=1/3(x+2)^2-1	$y = \frac{1}{3} {(x + 2)}^{2} - 1$
192963	Multiply	cube root of 8	$\sqrt[3]{8}$
192964	Factor by Grouping	x(a-3)+y(3-a)	$x (a - 3) + y (3 - a)$
192965	Evaluate the Function	f(x)=x^3+10x^2-25x-250 is x=-10	$f (x) = x^{3} + 10 x^{2} - 25 x - 250$ is $x = - 10$
192966	Simplify	((3x^2-2x-1)/(6x^2+18x-24))÷((x^2-5x+4)/(2x^2-32))	$\frac{3 x^{2} - 2 x - 1}{6 x^{2} + 18 x - 24} \div \frac{x^{2} - 5 x + 4}{2 x^{2} - 32}$
192967	Find the Axis of Symmetry	f(x)=-0.2(x+3)^2+2	$f (x) = - 0.2 {(x + 3)}^{2} + 2$
192968	Divide	(x/(3x-1))÷((x-2)/(2x))	$\frac{x}{3 x - 1} \div \frac{x - 2}{2 x}$
192969	Divide	5÷2 3/6	$5 \div 2 \frac{3}{6}$
192970	Solve for x	5^(-(x-2))=1/25	$5^{- (x - 2)} = \frac{1}{25}$
192971	Solve for x	1-1/(x+2)=(2x)/(x^2+8x+12)	$1 - \frac{1}{x + 2} = \frac{2 x}{x^{2} + 8 x + 12}$
192972	Solve for z	5z+6<=-7z+7	$5 z + 6 \leq - 7 z + 7$
192973	Simplify	(54^x)/(6^x)	$\frac{54^{x}}{6^{x}}$
192974	Solve for r	r^2+1=0	$r^{2} + 1 = 0$
192975	Simplify	(-36y^6)/(-6x^3y^-7)	$\frac{- 36 y^{6}}{- 6 x^{3} y^{- 7}}$
192976	Solve the Inequality for x	x/2+1/3<=0	$\frac{x}{2} + \frac{1}{3} \leq 0$
192977	Solve the System of Equations	1/3x-1/4y=-6 2x-1/5y=2/5	$\frac{1}{3} x - \frac{1}{4} y = - 6$ $2 x - \frac{1}{5} y = \frac{2}{5}$
192978	Simplify	(((2x^2y)^2)/(4x^4y))^2	${(\frac{{(2 x^{2} y)}^{2}}{4 x^{4} y})}^{2}$
192979	Multiply	(2x+5y)(3x^2-4xy+2y^2)	$(2 x + 5 y) (3 x^{2} - 4 x y + 2 y^{2})$
192980	Find the Vertices	(x-1)^2+(y^2)/25=1	${(x - 1)}^{2} + \frac{y^{2}}{25} = 1$
192981	Simplify	( square root of x)/( square root of y)	$\frac{\sqrt{x}}{\sqrt{y}}$
192982	Graph	2(x-1)^2(x+2)	$2 {(x - 1)}^{2} (x + 2)$
192983	Factor	4x^3-15+20x^2-3x	$4 x^{3} - 15 + 20 x^{2} - 3 x$
192984	Solve the Inequality for x	(x+2)(x-1)(x-3)>0	$(x + 2) (x - 1) (x - 3) > 0$
192985	Factor	49a^(10n)-(b^(12x))/81	$49 a^{10 n} - \frac{b^{12 x}}{81}$
192986	Find the Exact Value	cos(45)cos(30)-sin(45)sin(30)	$\cos (45) \cos (30) - \sin (45) \sin (30)$
192987	Solve for x	x(18-x)=2(9x-32)	$x (18 - x) = 2 (9 x - 32)$
192988	Solve the Inequality for x	9>=-2x+2-3	$9 \geq - 2 x + 2 - 3$
192989	Write the Fraction in Simplest Form	(4w)/(w-2)+(3w)/(w-3)	$\frac{4 w}{w - 2} + \frac{3 w}{w - 3}$
192990	Find the Domain and Range	f^-1(x)=x^2+8	$f^{- 1} (x) = x^{2} + 8$
192991	Simplify	x^2*4x	$x^{2} \cdot 4 x$
192992	Solve for w	8/9=(w-2)/6	$\frac{8}{9} = \frac{w - 2}{6}$
192993	Simplify	(x/9+1/3)/(1-(x^2)/9)	$\frac{\frac{x}{9} + \frac{1}{3}}{1 - \frac{x^{2}}{9}}$
192994	Solve the Inequality for t	-4t<=48	$- 4 t \leq 48$
192995	Solve for x	0.5x = square root of 4-3x+2	$0.5 x = \sqrt{4 - 3 x} + 2$
192996	Solve the System of Inequalities	k/4>=1 or k/3<=-1	$\frac{k}{4} \geq 1$ or $\frac{k}{3} \leq - 1$
192997	Determine if Parallel	y=x-3 x-y=8	$y = x - 3$ $x - y = 8$
192998	Multiply	(17 square root of 2z^2)(4 square root of 12z^2)	$(17 \sqrt{2 z^{2}}) (4 \sqrt{12 z^{2}})$
192999	Subtract	(-6x+5)-(x^2-2x-6)	$(- 6 x + 5) - (x^{2} - 2 x - 6)$
193000	Solve the Rational Equation for x	5/(x-2)=7-10/(x+2)	$\frac{5}{x - 2} = 7 - \frac{10}{x + 2}$