Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192901	Combine Like Terms	2(b+3c)	$2 (b + 3 c)$
192902	Simplify	(x^-1y^3)^-2	${(x^{- 1} y^{3})}^{- 2}$
192903	Divide	(-3x^2)÷x	$- 3 x^{2} \div x$
192904	Convert to a Decimal	1*10^-6	$1 \cdot 10^{- 6}$
192905	Simplify	(48^x)/(8^x)	$\frac{48^{x}}{8^{x}}$
192906	Simplify	(-15xz+4xy)+(20xy-9yz+16xz)	$(- 15 x z + 4 x y) + (20 x y - 9 y z + 16 x z)$
192907	Factor by Grouping	9-6x+x^2	$9 - 6 x + x^{2}$
192908	Graph	f(x)=(15x^3+b)/(3x^3+cx+d)	$f (x) = \frac{15 x^{3} + b}{3 x^{3} + c x + d}$
192909	Convert to a Simplified Fraction	0.5 as a fraction	$0.5$ as a fraction
192910	Evaluate	0+pi	$0 + π$
192911	Subtract	(-2a^2+a+6)-(-3a^2+2a-5)	$(- 2 a^{2} + a + 6) - (- 3 a^{2} + 2 a - 5)$
192912	Simplify	x-1/2x	$x - \frac{1}{2} x$
192913	Graph	y=pix	$y = π x$
192914	Factor	8x^2y+2x-8xy+2	$8 x^{2} y + 2 x - 8 x y + 2$
192915	Solve for x	\|2+5/x\|>1	$\| 2 + \frac{5}{x} \| > 1$
192916	Solve for x	5/(x+9)+(2x+7)/(x-9)=(3x)/(x-9)	$\frac{5}{x + 9} + \frac{2 x + 7}{x - 9} = \frac{3 x}{x - 9}$
192917	Graph	f(x)=1/2\|x-2\|	$f (x) = \frac{1}{2} \| x - 2 \|$
192918	Solve for x	10- square root of x=7	$10 - \sqrt{x} = 7$
192919	Factor	x^3+y^3+2x^2-2xy+2y^2	$x^{3} + y^{3} + 2 x^{2} - 2 x y + 2 y^{2}$
192920	Solve for v	K=(mv^2)/2	$K = \frac{m v^{2}}{2}$
192921	Solve for x	8x^3+125=0	$8 x^{3} + 125 = 0$
192922	Solve for x	(x+3)/(3x-2)-(x-3)/(3x+2)=176/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{176}{9 x^{2} - 4}$
192923	Evaluate	(3pi)÷2	$3 π \div 2$
192924	Solve for x	-x-(x-9)-1/2=3/2	$- x - (x - 9) - \frac{1}{2} = \frac{3}{2}$
192925	Solve the Inequality for x	x^2-2x<=3	$x^{2} - 2 x \leq 3$
192926	Solve the Inequality for x	(2x-2)/3>=2	$\frac{2 x - 2}{3} \geq 2$
192927	Solve for x	-1=(7x)/3+1	$- 1 = \frac{7 x}{3} + 1$
192928	Find the Function	f(x)=(1/5)^x	$f (x) = {(\frac{1}{5})}^{x}$
192929	Find f(g(x))	f(x)=x+3 and g(x)=x-3	$f (x) = x + 3$ and $g (x) = x - 3$
192930	Divide	((x^2-4x-5)/(x-2))÷((2x-10)/(x^2-4))	$\frac{x^{2} - 4 x - 5}{x - 2} \div \frac{2 x - 10}{x^{2} - 4}$
192931	Simplify	square root of 4( square root of 8+3)	$\sqrt{4} (\sqrt{8} + 3)$
192932	Simplify	(4+ square root of 121-23^3)/(\|-19-2-8\|)	$\frac{4 + \sqrt{121} - 2 \cdot 3^{3}}{\| - 19 - 2 \cdot - 8 \|}$
192933	Solve the Absolute Value Inequality for n	\|n/4\|<=3	$\| \frac{n}{4} \| \leq 3$
192934	Solve for θ	tan(theta)=-1/( square root of 3)	$\tan (θ) = - \frac{1}{\sqrt{3}}$
192935	Find Where Undefined/Discontinuous	f(x)=\|x\|	$f (x) = \| x \|$
192936	Graph	g(x)=-6,x<-2; (x+1)^4,x>=-2	$g (x) = {\begin{cases} - 6, x < - 2 \\ {(x + 1)}^{4}, x \geq - 2 \end{cases}$
192937	Evaluate	(x+2y)(x-2y)	$(x + 2 y) (x - 2 y)$
192938	Solve for p	2/(p^2)=4/(20-6p)	$\frac{2}{p^{2}} = \frac{4}{20 - 6 p}$
192939	Graph	f(x)=-10+x^2 if -4<=x<4	$f (x) = - 10 + x^{2}$ if $- 4 \leq x < 4$
192940	Solve for x	3=b/ax	$3 = \frac{b}{a} x$
192941	Solve for x	-2<=4+x	$- 2 \leq 4 + x$
192942	Determine the Possible Number of Real Roots	(x+1)^2(x-5)=0	${(x + 1)}^{2} (x - 5) = 0$
192943	Find the Domain and Range	f(x)=x/2+3	$f (x) = \frac{x}{2} + 3$
192944	Simplify	square root of 25	square root of $25$
192945	Simplify	(10x^2-40x)/(x^2+3x-28)*(x^2+6x-7)/(13x^2)	$\frac{10 x^{2} - 40 x}{x^{2} + 3 x - 28} \cdot \frac{x^{2} + 6 x - 7}{13 x^{2}}$
192946	Solve for x	-5x=-3/2+1/4(-4x-8)	$- 5 x = - \frac{3}{2} + \frac{1}{4} (- 4 x - 8)$
192947	Find the Domain and Range	y=1/3(x+2)^2-1	$y = \frac{1}{3} {(x + 2)}^{2} - 1$
192948	Multiply	cube root of 8	$\sqrt[3]{8}$
192949	Factor by Grouping	x(a-3)+y(3-a)	$x (a - 3) + y (3 - a)$
192950	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 $x = - 10$
192951	Simplify	((3x^2-2x-1)/(6x^2+18x-24))÷((x^2-5x+4)/(2x^2-32))	$\frac{3 x^{2} - 2 x - 1}{6 x^{2} + 18 x - 24} \div \frac{x^{2} - 5 x + 4}{2 x^{2} - 32}$
192952	Find the Axis of Symmetry	f(x)=-0.2(x+3)^2+2	$f (x) = - 0.2 {(x + 3)}^{2} + 2$
192953	Divide	(x/(3x-1))÷((x-2)/(2x))	$\frac{x}{3 x - 1} \div \frac{x - 2}{2 x}$
192954	Divide	5÷2 3/6	$5 \div 2 \frac{3}{6}$
192955	Solve for x	5^(-(x-2))=1/25	$5^{- (x - 2)} = \frac{1}{25}$
192956	Solve for x	1-1/(x+2)=(2x)/(x^2+8x+12)	$1 - \frac{1}{x + 2} = \frac{2 x}{x^{2} + 8 x + 12}$
192957	Solve for z	5z+6<=-7z+7	$5 z + 6 \leq - 7 z + 7$
192958	Simplify	(54^x)/(6^x)	$\frac{54^{x}}{6^{x}}$
192959	Solve for r	r^2+1=0	$r^{2} + 1 = 0$
192960	Simplify	(-36y^6)/(-6x^3y^-7)	$\frac{- 36 y^{6}}{- 6 x^{3} y^{- 7}}$
192961	Solve the Inequality for x	x/2+1/3<=0	$\frac{x}{2} + \frac{1}{3} \leq 0$
192962	Solve the System of Equations	1/3x-1/4y=-6 2x-1/5y=2/5	$\frac{1}{3} x - \frac{1}{4} y = - 6$ $2 x - \frac{1}{5} y = \frac{2}{5}$
192963	Simplify	(((2x^2y)^2)/(4x^4y))^2	${(\frac{{(2 x^{2} y)}^{2}}{4 x^{4} y})}^{2}$
192964	Multiply	(2x+5y)(3x^2-4xy+2y^2)	$(2 x + 5 y) (3 x^{2} - 4 x y + 2 y^{2})$
192965	Find the Vertices	(x-1)^2+(y^2)/25=1	${(x - 1)}^{2} + \frac{y^{2}}{25} = 1$
192966	Simplify	( square root of x)/( square root of y)	$\frac{\sqrt{x}}{\sqrt{y}}$
192967	Graph	2(x-1)^2(x+2)	$2 {(x - 1)}^{2} (x + 2)$
192968	Factor	4x^3-15+20x^2-3x	$4 x^{3} - 15 + 20 x^{2} - 3 x$
192969	Solve the Inequality for x	(x+2)(x-1)(x-3)>0	$(x + 2) (x - 1) (x - 3) > 0$
192970	Factor	49a^(10n)-(b^(12x))/81	$49 a^{10 n} - \frac{b^{12 x}}{81}$
192971	Find the Exact Value	cos(45)cos(30)-sin(45)sin(30)	$\cos (45) \cos (30) - \sin (45) \sin (30)$
192972	Solve for x	x(18-x)=2(9x-32)	$x (18 - x) = 2 (9 x - 32)$
192973	Solve the Inequality for x	9>=-2x+2-3	$9 \geq - 2 x + 2 - 3$
192974	Write the Fraction in Simplest Form	(4w)/(w-2)+(3w)/(w-3)	$\frac{4 w}{w - 2} + \frac{3 w}{w - 3}$
192975	Find the Domain and Range	f^-1(x)=x^2+8	$f^{- 1} (x) = x^{2} + 8$
192976	Simplify	x^2*4x	$x^{2} \cdot 4 x$
192977	Solve for w	8/9=(w-2)/6	$\frac{8}{9} = \frac{w - 2}{6}$
192978	Simplify	(x/9+1/3)/(1-(x^2)/9)	$\frac{\frac{x}{9} + \frac{1}{3}}{1 - \frac{x^{2}}{9}}$
192979	Solve the Inequality for t	-4t<=48	$- 4 t \leq 48$
192980	Solve for x	0.5x = square root of 4-3x+2	$0.5 x = \sqrt{4 - 3 x} + 2$
192981	Solve the System of Inequalities	k/4>=1 or k/3<=-1	$\frac{k}{4} \geq 1$ or $\frac{k}{3} \leq - 1$
192982	Determine if Parallel	y=x-3 x-y=8	$y = x - 3$ $x - y = 8$
192983	Multiply	(17 square root of 2z^2)(4 square root of 12z^2)	$(17 \sqrt{2 z^{2}}) (4 \sqrt{12 z^{2}})$
192984	Subtract	(-6x+5)-(x^2-2x-6)	$(- 6 x + 5) - (x^{2} - 2 x - 6)$
192985	Solve the Rational Equation for x	5/(x-2)=7-10/(x+2)	$\frac{5}{x - 2} = 7 - \frac{10}{x + 2}$
192986	Simplify	(4x^2-12x)/(2x^3-2x^2-12x)	$\frac{4 x^{2} - 12 x}{2 x^{3} - 2 x^{2} - 12 x}$
192987	Solve for E	log of E-12.2=1.44M	$\log (E) - 12.2 = 1.44 M$
192988	Evaluate	pi/12+pi(1)	$\frac{π}{12} + π (1)$
192989	Multiply	3/(m^2)*(16m)/9	$\frac{3}{m^{2}} \cdot \frac{16 m}{9}$
192990	Solve the Inequality for x	x(x-5)<0	$x (x - 5) < 0$
192991	Simplify	1/2*( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
192992	Solve for x	2(4-3x)+5(2x-3)=20-5x	$2 (4 - 3 x) + 5 (2 x - 3) = 20 - 5 x$
192993	Find the Exact Value	2cos((11pi)/6)	$2 \cos (\frac{11 π}{6})$
192994	Solve the Inequality for x	x(2x+5)>=0	$x (2 x + 5) \geq 0$
192995	Simplify	(x^-2y^0z^3)^-3	${(x^{- 2} y^{0} z^{3})}^{- 3}$
192996	Solve for m	m/v-t/b=(m-t)/R	$\frac{m}{v} - \frac{t}{b} = \frac{m - t}{R}$
192997	Solve the System of Equations	y=2x+8 3(-2x+y)=12	$y = 2 x + 8$ $3 (- 2 x + y) = 12$
192998	Find the Exact Value	\|3-9\|	$\| 3 - 9 \|$
192999	Graph	f(x)=2x+5 if x<0; 5 if 0<=x<=10; 2x-10 if x>10	$f (x) = {\begin{cases} 2 x + 5 & x < 0 \\ 5 & 0 \leq x \leq 10 \\ 2 x - 10 & x > 10 \end{cases}$
193000	Multiply	6*1/9	$6 \cdot \frac{1}{9}$