Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213901	Find f(g(x))	f(x)=(x+16)/x , g(x)=(2x)/(x+4)	$f (x) = \frac{(x + 16)}{x}$ , $g (x) = \frac{(2 x)}{(x + 4)}$
213902	Simplify	1+y-1+4y+2	$1 + y - 1 + 4 y + 2$
213903	Simplify	3 square root of 5a^3* square root of 50a^7	$3 \sqrt{5 a^{3}} \cdot \sqrt{50 a^{7}}$
213904	Graph	y=-1/4x-2 x+4y=-8	$y = - \frac{1}{4} x - 2$ $x + 4 y = - 8$
213905	Solve the Inequality for x	3 square root of x-4>=5	$3 \sqrt{x} - 4 \geq 5$
213906	Graph	-1.3>=2.9-0.6r	$- 1.3 \geq 2.9 - 0.6 r$
213907	Write in Exponential Form	n root of a*n root of b	$\sqrt[n]{a} \cdot \sqrt[n]{b}$
213908	Simplify	( square root of 7+ square root of 8)( square root of 7- square root of 8)	$(\sqrt{7} + \sqrt{8}) (\sqrt{7} - \sqrt{8})$
213909	Graph	8x-3y<4 9x+2y<-1	$8 x - 3 y < 4$ $9 x + 2 y < - 1$
213910	Evaluate the Function	f(0)=0/(0^2+1)	$f (0) = \frac{0}{0^{2} + 1}$
213911	Solve for x	-2x=(-4x+20)/2	$- 2 x = \frac{- 4 x + 20}{2}$
213912	Evaluate	7x^2y^2+12xy^2-3x^2y+11+4xy-13x^2y+7	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 + 4 x y - 13 x^{2} y + 7$
213913	Describe the Transformation	f(x)=5^x , g(x)=-5^x	$f (x) = 5^{x}$ , $g (x) = - 5^{x}$
213914	Simplify	2x-3+5x+3+7x-1	$2 x - 3 + 5 x + 3 + 7 x - 1$
213915	Simplify	(-8x^3*5x^2y^9)/(2x^5y^5)	$\frac{- 8 x^{3} \cdot 5 x^{2} y^{9}}{2 x^{5} y^{5}}$
213916	Evaluate	csc(theta)=2	$\csc (θ) = 2$
213917	Find the Parabola with Focus (-2,4) and Directrix x=-1	The vertex is (-2,4) ; the directrix is x=-1	The vertex is $(- 2, 4)$ ; the directrix is $x = - 1$
213918	Solve the Inequality for v	v+20>7	$v + 20 > 7$
213919	Multiply	square root of 15x^2* square root of 10x^3	$\sqrt{15 x^{2}} \cdot \sqrt{10 x^{3}}$
213920	Simplify	(3x^3y^2z^-6)/(27y^4x^2z^5)	$\frac{3 x^{3} y^{2} z^{- 6}}{27 y^{4} x^{2} z^{5}}$
213921	Simplify	((9a^5t^-1)/(at^5))^2	${(\frac{9 a^{5} t^{- 1}}{a t^{5}})}^{2}$
213922	Find the Degree	-10b^2+8a^2c^2+10a^3b^5	$- 10 b^{2} + 8 a^{2} c^{2} + 10 a^{3} b^{5}$
213923	Graph	y=- log base 3 of x+2	$y = - \log_{3} (x) + 2$
213924	Solve the Rational Equation for x	(3x-4)/(x-5)=(3x+6)/(x+2)	$\frac{3 x - 4}{x - 5} = \frac{3 x + 6}{x + 2}$
213925	Simplify	(x^2+x)-(2x^2-3x)	$(x^{2} + x) - (2 x^{2} - 3 x)$
213926	Evaluate	i^35i^17i^35	$i^{35} \cdot i^{17} \cdot i^{35}$
213927	Simplify	(66a^2b^2)/21*(7b^3)/(3a^4)	$\frac{66 a^{2} b^{2}}{21} \cdot \frac{7 b^{3}}{3 a^{4}}$
213928	Simplify	(6x(3y)^2)^2	${(6 x {(3 y)}^{2})}^{2}$
213929	Simplify	15b^0c^8d^-6*7bc^3d^5	$15 b^{0} c^{8} d^{- 6} \cdot 7 b c^{3} d^{5}$
213930	Solve Using the Quadratic Formula	-13x^2-9x+4=5+2x^2-x	$- 13 x^{2} - 9 x + 4 = 5 + 2 x^{2} - x$
213931	Find the x and y Intercepts	y=((x-4)(x+3))/(x+3)	$y = \frac{(x - 4) (x + 3)}{x + 3}$
213932	Simplify	5a-2b-3+2b-6a	$5 a - 2 b - 3 + 2 b - 6 a$
213933	Solve for y	0.5(2y-1)-(0.5-0.2y)+1=0	$0.5 (2 y - 1) - (0.5 - 0.2 y) + 1 = 0$
213934	Find the Product	(x^2+4x+16)(x-4)	$(x^{2} + 4 x + 16) (x - 4)$
213935	Simplify	6 square root of 6(9 square root of 2-5 square root of 12)	$6 \sqrt{6} (9 \sqrt{2} - 5 \sqrt{12})$
213936	Solve for x	0=5/(4x)	$0 = \frac{5}{4 x}$
213937	Simplify	(9c-8d)+(2c-6)+(-d+3)	$(9 c - 8 d) + (2 c - 6) + (- d + 3)$
213938	Factor	P(x)=x^5+x^2-x-1	$P (x) = x^{5} + x^{2} - x - 1$
213939	Simplify	0/( square root of 9-0^2)	$\frac{0}{\sqrt{9 - 0^{2}}}$
213940	Simplify	cube root of -49x* cube root of 7x^2	$\sqrt[3]{- 49 x} \cdot \sqrt[3]{7 x^{2}}$
213941	Simplify	(2x)/(2x+1)-(x-1)/((2x+1)(x-2))	$\frac{2 x}{2 x + 1} - \frac{x - 1}{(2 x + 1) (x - 2)}$
213942	Write in Exponential Form	square root of 3* square root of 8	$\sqrt{3} \cdot \sqrt{8}$
213943	Solve the Inequality for a	a(a-4)-a^2>12-6a	$a (a - 4) - a^{2} > 12 - 6 a$
213944	Write in Standard Form	y=3(x+1)^2-3x^2	$y = 3 {(x + 1)}^{2} - 3 x^{2}$
213945	Simplify	(15e^3)/(3e)	$\frac{15 e^{3}}{3 e}$
213946	Solve for x	(x^2)/(x^2-4)=(5x-6)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4} = \frac{5 x - 6}{x^{2} - 4}$
213947	Solve for p	p-31/6=-21/2	$p - \frac{31}{6} = - \frac{21}{2}$
213948	Solve for x	x^4+19=100	$x^{4} + 19 = 100$
213949	Solve for x	log base 7 of 2x^2+2- log base 7 of 3x+7=0	$\log_{7} (2 x^{2} + 2) - \log_{7} (3 x + 7) = 0$
213950	Simplify	( square root of 4)/( cube root of 4)	$\frac{\sqrt{4}}{\sqrt[3]{4}}$
213951	Solve for p	p^2=0	$p^{2} = 0$
213952	Graph	x+8=1/5y^2	$x + 8 = \frac{1}{5} y^{2}$
213953	Find the Degree	-5w^3x^5 square root of 6-8w^5	$- 5 w^{3} x^{5} \sqrt{6} - 8 w^{5}$
213954	Simplify the Radical Expression	fourth root of 25* cube root of 5	$\sqrt[4]{25} \cdot \sqrt[3]{5}$
213955	Find the End Behavior	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
213956	Simplify	(q^-2r^0)/(s^0)	$\frac{q^{- 2} r^{0}}{s^{0}}$
213957	Simplify	-3/(-9+ square root of 15)	$\frac{- 3}{- 9 + \sqrt{15}}$
213958	Simplify	(11^7* square root of 6)/(11^5*6^(3/2))	$\frac{11^{7} \cdot \sqrt{6}}{11^{5} \cdot 6^{\frac{3}{2}}}$
213959	Simplify	7/9z-6/9z+2-5/9z-9	$\frac{7}{9} z - \frac{6}{9} z + 2 - \frac{5}{9} z - 9$
213960	Graph	Graph y< square root of x+1+4	Graph $y < \sqrt{x + 1} + 4$
213961	Solve the System of Inequalities	x-6<6 and x+4>=-1	$x - 6 < 6$ and $x + 4 \geq - 1$
213962	Divide	Divide x^3+5x^2+5x-3 by x+3	Divide $x^{3} + 5 x^{2} + 5 x - 3$ by $x + 3$
213963	Simplify	(-2x^3y)(-3xz^5)^2(xy^3z)^3	$(- 2 x^{3} y) {(- 3 x z^{5})}^{2} {(x y^{3} z)}^{3}$
213964	Simplify	fourth root of n^4q+7n fourth root of q	$\sqrt[4]{n^{4} q} + 7 n \sqrt[4]{q}$
213965	Evaluate	( square root of 2)/(i square root of 2)	$\frac{\sqrt{2}}{i \sqrt{2}}$
213966	Solve for x	square root of 2x-1 = square root of 8x-4	$\sqrt{2 x} - 1 = \sqrt{8 x - 4}$
213967	Factor	6x^9n-30x^5n-300xn	$6 x^{9} n - 30 x^{5} n - 300 x n$
213968	Evaluate	6÷6+6+2-5	$6 \div 6 + 6 + 2 - 5$
213969	Solve for x	(12-x)^(1/2)=6-a	${(12 - x)}^{\frac{1}{2}} = 6 - a$
213970	Simplify	(6x-12)/(x^2-9x+18)*(7x-21)/(5x-10)	$\frac{6 x - 12}{x^{2} - 9 x + 18} \cdot \frac{7 x - 21}{5 x - 10}$
213971	Solve for x	5/x=-4/(x-5)	$\frac{5}{x} = - \frac{4}{x - 5}$
213972	Graph	(dy)/(dx)=x/y	$\frac{d y}{d x} = \frac{x}{y}$
213973	Factor	4mn^2-4m^2n^2+m^3n^2	$4 m n^{2} - 4 m^{2} n^{2} + m^{3} n^{2}$
213974	Evaluate	g(-x)=x^2	$g (- x) = x^{2}$
213975	Evaluate	(2^-2+5^-1)/(4^-1-5^-1)	$\frac{2^{- 2} + 5^{- 1}}{4^{- 1} - 5^{- 1}}$
213976	Simplify	(2+2 square root of 2)/(3- square root of 3)	$\frac{2 + 2 \sqrt{2}}{3 - \sqrt{3}}$
213977	Find the First Term	a_n=2(4)^n	$a_{n} = 2 {(4)}^{n}$
213978	Solve for x	1/(1-x^2)=-\|3x-2\|+5	$\frac{1}{1 - x^{2}} = - \| 3 x - 2 \| + 5$
213979	Solve the System of Equations	x+6y+z=-7 x+2y+z=1 x-4y-z=-3	$x + 6 y + z = - 7$ $x + 2 y + z = 1$ $x - 4 y - z = - 3$
213980	Solve the Rational Equation for x	x-1 = square root of x+11	$x - 1 = \sqrt{x + 11}$
213981	Find the Roots (Zeros)	1/6x^3=-36	$\frac{1}{6} x^{3} = - 36$
213982	Simplify	6/(x-8)(81-x^2)/(6x^3-24x^2-270x)(x^2-3x-40)/(x+9)	$\frac{6}{x - 8} \cdot \frac{81 - x^{2}}{6 x^{3} - 24 x^{2} - 270 x} \cdot \frac{x^{2} - 3 x - 40}{x + 9}$
213983	Write with Rational (Fractional) Exponents	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
213984	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-3) and has a slope of 3 ?	What is the equation of the line that passes through the point $(- 1, - 3)$ and has a slope of $3$ ?
213985	Multiply	2x^5(3x^3-x^2-2)	$2 x^{5} (3 x^{3} - x^{2} - 2)$
213986	Simplify	(x^2+5x+6)/(x^2-4)*4/(x+3)	$\frac{x^{2} + 5 x + 6}{x^{2} - 4} \cdot \frac{4}{x + 3}$
213987	Simplify the Radical Expression	fourth root of 3( fourth root of 2+ fourth root of 4)	$\sqrt[4]{3} (\sqrt[4]{2} + \sqrt[4]{4})$
213988	Evaluate	(2x^3y)^6	${(2 x^{3} y)}^{6}$
213989	Evaluate	5cos(4/2)^2+ natural log of 4+1-3	$5 \cos^{2} (\frac{4}{2}) + \ln (4 + 1) - 3$
213990	Solve for x	-1/3(x+1 1/2)=-3 1/4	$- \frac{1}{3} (x + 1 \frac{1}{2}) = - 3 \frac{1}{4}$
213991	Solve for m	-m-7/8=-10	$- m - \frac{7}{8} = - 10$
213992	Solve for m	10m^3-6=-86	$10 m^{3} - 6 = - 86$
213993	Simplify	z^3z^2w^2	$z^{3} z^{2} w^{2}$
213994	Convert to Interval Notation	4k-(k-2)>=7k-26	$4 k - (k - 2) \geq 7 k - 26$
213995	Simplify	2 cube root of 125a^4-5 cube root of 8a	$2 \sqrt[3]{125 a^{4}} - 5 \sqrt[3]{8 a}$
213996	Evaluate the Function	y=20*0.5^x for x=3	$y = 20 \cdot {0.5}^{x}$ for $x = 3$
213997	Solve for x	square root of 5-2x=3i	$\sqrt{5 - 2 x} = 3 i$
213998	Simplify	(3 square root of 5i)/( square root of 3i)	$\frac{3 \sqrt{5} i}{\sqrt{3} i}$
213999	Solve for x	e^x-3x^2=0	$e^{x} - 3 x^{2} = 0$
214000	Simplify	2(2 square root of 4)^-2	$2 {(2 \sqrt{4})}^{- 2}$