Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233001	Simplify	1/x-2/(x^2+x)-3/(x+3)	$\frac{1}{x} - \frac{2}{x^{2} + x} - \frac{3}{x + 3}$
233002	Factor	3x^2-9=26x	$3 x^{2} - 9 = 26 x$
233003	Evaluate Using the Given Value	Evaluate 9-b when b=8	Evaluate $9 - b$ when $b = 8$
233004	Evaluate	4(-3x+1)+(6x+3)	$4 (- 3 x + 1) + (6 x + 3)$
233005	Solve the Inequality for x	\|3x-5\|>=-2	$\| 3 x - 5 \| \geq - 2$
233006	Solve for x	1/2=2^((x)(x+2))	$\frac{1}{2} = 2^{(x) (x + 2)}$
233007	Find the Domain and Range	C(x)=(x+3)/(x-2)	$C (x) = \frac{x + 3}{x - 2}$
233008	Simplify	3(4)^4 square root of 4	$3 {(4)}^{4} \sqrt{4}$
233009	Simplify the Radical Expression	(7 square root of 9)(7 square root of -16)	$(7 \sqrt{9}) (7 \sqrt{- 16})$
233010	Simplify the Radical Expression	2 square root of 53 square root of 2 square root of 6	$2 \sqrt{5} \cdot 3 \sqrt{2} \cdot \sqrt{6}$
233011	Simplify the Radical Expression	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
233012	Write in Standard Form	237qt	$2 \cdot 3 \cdot 7 \cdot q \cdot t$
233013	Graph	y<3x+8 y>=4x	$y < 3 x + 8$ $y \geq 4 x$
233014	Graph	Graph y=x+3	Graph $y = x + 3$
233015	Graph	y=1/2x y=x+2	$y = \frac{1}{2} x$ $y = x + 2$
233016	Find the Product	(a^-2*8^7)^2	${(a^{- 2} \cdot 8^{7})}^{2}$
233017	Identify the Sequence	1/3 , 1/6 , 1/12	$\frac{1}{3}$ , $\frac{1}{6}$ , $\frac{1}{12}$
233018	Simplify the Radical Expression	(x^2)^3	${(x^{2})}^{3}$
233019	Evaluate	(16-4^2)/(2- square root of 4)	$\frac{16 - 4^{2}}{2 - \sqrt{4}}$
233020	Find the Domain and Range	x^2+6x+y^2-2y-15=0	$x^{2} + 6 x + y^{2} - 2 y - 15 = 0$
233021	Simplify the Radical Expression	square root of 75x^2y^-4	$\sqrt{75 x^{2} y^{- 4}}$
233022	Evaluate	2(5)^(1-1)	$2 {(5)}^{1 - 1}$
233023	Evaluate	i^10i^11i^20	$i^{10} \cdot i^{11} \cdot i^{20}$
233024	Simplify the Radical Expression	fifth root of 7/(16x^3)	$\sqrt[5]{\frac{7}{16 x^{3}}}$
233025	Solve for x	(x-8)/(2x+2)+x/(2x+2)=(2x-3)/(x+1)	$\frac{x - 8}{2 x + 2} + \frac{x}{2 x + 2} = \frac{2 x - 3}{x + 1}$
233026	Solve for x	-(4x+4)=0	$- (4 x + 4) = 0$
233027	Solve the System of Equations	y=9-x y=2x^2+4x+6	$y = 9 - x$ $y = 2 x^{2} + 4 x + 6$
233028	Solve for t	t^4-21t^2+80=0	$t^{4} - 21 t^{2} + 80 = 0$
233029	Solve for x	x/(x-1)-2/(x+2)=(4x-1)/(x^2+x-2)	$\frac{x}{x - 1} - \frac{2}{x + 2} = \frac{4 x - 1}{x^{2} + x - 2}$
233030	Graph	f(x)=-x^2 g(x)=-x^2+6	$f (x) = - x^{2}$ $g (x) = - x^{2} + 6$
233031	Solve the Rational Equation for r	square root of r=2	$\sqrt{r} = 2$
233032	Solve for x	(x-4)/(x+2)=(x-6)/5	$\frac{x - 4}{x + 2} = \frac{x - 6}{5}$
233033	Find the x and y Intercepts	f(x)=2(1/4)^x-9	$f (x) = 2 {(\frac{1}{4})}^{x} - 9$
233034	Simplify	sin(x)sec(x)^2-sin(x)tan(x)^2	$\sin (x) \sec^{2} (x) - \sin (x) \tan^{2} (x)$
233035	Solve for r	r-6>-11	$r - 6 > - 11$
233036	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+23x^2+21x+30 is divided by x+5	Use the long division method to find the result when $4 x^{3} + 23 x^{2} + 21 x + 30$ is divided by $x + 5$
233037	Find the Domain and Range	y=-2cos(-x/2)	$y = - 2 \cos (- \frac{x}{2})$
233038	Find the Exact Value	sin(pi/6)+tan(pi/3)^2	$\sin (\frac{π}{6}) + \tan^{2} (\frac{π}{3})$
233039	Subtract	-3 sixth root of 3-2 sixth root of 192- sixth root of 320	$- 3 \sqrt[6]{3} - 2 \sqrt[6]{192} - \sqrt[6]{320}$
233040	Simplify the Radical Expression	- square root of 448x^6y^5	$- \sqrt{448 x^{6} y^{5}}$
233041	Simplify	(1+2yi)(3+i)+(1+2yi)(6-i)	$(1 + 2 y i) (3 + i) + (1 + 2 y i) (6 - i)$
233042	Solve for θ	2cos(theta)sin(theta)=cos(theta)	$2 \cos (θ) \sin (θ) = \cos (θ)$
233043	Simplify	(3a-1)/(a^2-b^2)-(3b-1)/(a^2-b^2)	$\frac{(3 a - 1)}{a^{2} - b^{2}} - \frac{(3 b - 1)}{a^{2} - b^{2}}$
233044	Rationalize the Denominator	(12x^2)/( square root of 3x)	$\frac{12 x^{2}}{\sqrt{3 x}}$
233045	Evaluate	((x^2y^-2)^-3)/((x^-2y)^-2)	$\frac{{(x^{2} y^{- 2})}^{- 3}}{{(x^{- 2} y)}^{- 2}}$
233046	Solve the Inequality for x	7x+9(-2x+8)<18x	$7 x + 9 (- 2 x + 8) < 18 x$
233047	Solve for x	square root of x^2+3x=2	$\sqrt{x^{2} + 3 x} = 2$
233048	Multiply	(7-2a)(4a^2+4a+3)	$(7 - 2 a) (4 a^{2} + 4 a + 3)$
233049	Simplify	square root of 32x^3+2 square root of 6x-8 square root of 2x^3+4 square root of 24x	$\sqrt{32 x^{3}} + 2 \sqrt{6 x} - 8 \sqrt{2 x^{3}} + 4 \sqrt{24 x}$
233050	Solve the Inequality for y	x-2y<2	$x - 2 y < 2$
233051	Simplify	((7a^2)/(7a^3+56a^2))÷(2/(a^2+7a-8))	$\frac{7 a^{2}}{7 a^{3} + 56 a^{2}} \div \frac{2}{a^{2} + 7 a - 8}$
233052	Simplify	(4a*6a^5)/(8a^2)	$\frac{4 a \cdot 6 a^{5}}{8 a^{2}}$
233053	Subtract	(4x^2+8)+(-8x^2-5x+2)	$(4 x^{2} + 8) + (- 8 x^{2} - 5 x + 2)$
233054	Simplify	((y^2-36)/(6y))/((y^2+6y)/(5y^3))	$\frac{\frac{y^{2} - 36}{6 y}}{\frac{y^{2} + 6 y}{5 y^{3}}}$
233055	Solve for x	x^2-1=(x+1)(x-1)	$x^{2} - 1 = (x + 1) (x - 1)$
233056	Solve for w	-11w+7+10w=19+2w	$- 11 w + 7 + 10 w = 19 + 2 w$
233057	Solve for x	(5x-1)^2+16=0	${(5 x - 1)}^{2} + 16 = 0$
233058	Multiply	(c^2-cd-d^2)(c+d)	$(c^{2} - c d - d^{2}) (c + d)$
233059	Simplify	(24a^2b^9c^-7)/(36a^3bc^4)	$\frac{24 a^{2} b^{9} c^{- 7}}{36 a^{3} b c^{4}}$
233060	Multiply	(49-y^2)/(6y^2+42y)*(48y^3)/(y^2-10y+21)	$\frac{49 - y^{2}}{6 y^{2} + 42 y} \cdot \frac{48 y^{3}}{y^{2} - 10 y + 21}$
233061	Simplify	(4+ square root of 12)/(4- square root of 12)	$\frac{4 + \sqrt{12}}{4 - \sqrt{12}}$
233062	Simplify the Radical Expression	6 square root of 5+3 square root of 5-3 square root of 6	$6 \sqrt{5} + 3 \sqrt{5} - 3 \sqrt{6}$
233063	Simplify	log base w of ((x^2-6)^4)/( cube root of x^2+8)	$\log_{w} (\frac{{(x^{2} - 6)}^{4}}{\sqrt[3]{x^{2} + 8}})$
233064	Evaluate	((2+3)^2-5)*4	$({(2 + 3)}^{2} - 5) \cdot 4$
233065	Solve for y	2xy^2+x^3+y=20	$2 x y^{2} + x^{3} + y = 20$
233066	Simplify	(15y(y+1))/(45y^2(y+1))	$\frac{15 y (y + 1)}{45 y^{2} (y + 1)}$
233067	Simplify	((xy^-3z^-2)/(x^4y^4z^-3))^-3	${(\frac{x y^{- 3} z^{- 2}}{x^{4} y^{4} z^{- 3}})}^{- 3}$
233068	Evaluate	( square root of 2/2)^2	${(\sqrt{\frac{2}{2}})}^{2}$
233069	Graph	f(x)=1/(x(x+3)(x-3))	$f (x) = \frac{1}{x (x + 3) (x - 3)}$
233070	Find the Inverse	f(x)=12*11^(3x)+13	$f (x) = 12 \cdot 11^{3 x} + 13$
233071	Solve the System of Equations	9x+5y=41 and x+y=9	$9 x + 5 y = 41$ and $x + y = 9$
233072	Find the Exact Value	-7 2/3+(-5 1/2)+8 3/4	$- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}$
233073	Solve the Inequality for x	4^x>2^x	$4^{x} > 2^{x}$
233074	Solve for Y	Y=\|-1\|+5	$Y = \| - 1 \| + 5$
233075	Find the Distance Between Two Points	(m,0) and (n,0)	$(m, 0)$ and $(n, 0)$
233076	Solve for y	Solve: 2y-4=14	Solve: $2 y - 4 = 14$
233077	Solve Using the Quadratic Formula	y=x^2-2x	$y = x^{2} - 2 x$
233078	Simplify the Radical Expression	fourth root of v fifth root of v^8	$\sqrt[4]{v} \sqrt[5]{v^{8}}$
233079	Simplify	a^3b^2(b^-1)^3	$a^{3} b^{2} {(b^{- 1})}^{3}$
233080	Find the Product	(x^2+6x+8)/(x^2+4x+3)*(x+3)/(x+2)	$\frac{x^{2} + 6 x + 8}{x^{2} + 4 x + 3} \cdot \frac{x + 3}{x + 2}$
233081	Solve the System of Inequalities	v+2<=6 or v-4>=12	$v + 2 \leq 6$ or $v - 4 \geq 12$
233082	Solve for t	5t^3+60t^2=-180t	$5 t^{3} + 60 t^{2} = - 180 t$
233083	Simplify	(x^2)/(x^2-49)-(9x-14)/(x^2-49)	$\frac{x^{2}}{x^{2} - 49} - \frac{9 x - 14}{x^{2} - 49}$
233084	Convert to Radical Form	(m^16no)^(1/2)	${(m^{16} n o)}^{\frac{1}{2}}$
233085	Write in Exponential Form	square root of 3^4	$\sqrt{3^{4}}$
233086	Simplify	((2m^-3n)^2)/((4m^-4n)^2)	$\frac{{(2 m^{- 3} n)}^{2}}{{(4 m^{- 4} n)}^{2}}$
233087	Solve the System of Inequalities	y<x/3+2 y<-2x+1	$y < \frac{x}{3} + 2$ $y < - 2 x + 1$
233088	Solve for x	square root of 4x+1- square root of 2x=1	$\sqrt{4 x + 1} - \sqrt{2 x} = 1$
233089	Find the Roots (Zeros)	x^6-x^4-x^2+1=0	$x^{6} - x^{4} - x^{2} + 1 = 0$
233090	Solve Using the Quadratic Formula	x^2- square root of 2x-12	$x^{2} - \sqrt{2} x - 12$
233091	Graph	y=x^2-\|6x+5\|	$y = x^{2} - \| 6 x + 5 \|$
233092	Simplify	((m^-1n^4)^-1)/((m^2n)^-3)	$\frac{{(m^{- 1} n^{4})}^{- 1}}{{(m^{2} n)}^{- 3}}$
233093	Solve the Inequality for x	y<=2x+1	$y \leq 2 x + 1$
233094	Evaluate	180/1*pi/180	$\frac{180}{1} \cdot \frac{π}{180}$
233095	Solve for x	1/3x=x+8	$\frac{1}{3} x = x + 8$
233096	Evaluate	8(60÷(4^2-2^2)-2)	$8 (60 \div (4^{2} - 2^{2}) - 2)$
233097	Simplify	square root of x(5- square root of x)	$\sqrt{x} (5 - \sqrt{x})$
233098	Multiply	square root of 6(5+ square root of 3)	$\sqrt{6} (5 + \sqrt{3})$
233099	Simplify	(x^(1/3)x^(2/3))/(x^-1)	$\frac{x^{\frac{1}{3}} x^{\frac{2}{3}}}{x^{- 1}}$
233100	Divide	((p^2-p-2)/(2p^2+3p+1))÷((p^2-3p+2)/(p^2+7p-8))	$\frac{p^{2} - p - 2}{2 p^{2} + 3 p + 1} \div \frac{p^{2} - 3 p + 2}{p^{2} + 7 p - 8}$