Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
84501	Find the Derivative Using Product Rule - d/dy	(y^-1+y^-2)(8y^-3-9y^-4)	$(y^{- 1} + y^{- 2}) (8 y^{- 3} - 9 y^{- 4})$
84502	Find the Derivative Using Product Rule - d/da	x^4(a-2x^3)^2	$x^{4} {(a - 2 x^{3})}^{2}$
84503	Find the Quadratic Constant of Variation	x^2+cx+5=0	$x^{2} + c x + 5 = 0$
84504	Find the Quadratic Constant of Variation	y=2x^2-12x+13	$y = 2 x^{2} - 12 x + 13$
84505	Solve for x	x^2-x=20	$x^{2} - x = 20$
84506	Find the Domain of the Difference of the Two Functions	f(t)=t^2+7t+1 ; g(t)=2/(t-1)	$f (t) = t^{2} + 7 t + 1$ ; $g (t) = \frac{2}{t - 1}$
84507	Graph	y = square root of x+25	$y = \sqrt{x + 25}$
84508	Solve for x	x^2-10x+34=0	$x^{2} - 10 x + 34 = 0$
84509	Find the Derivative Using Product Rule - d/dx	y=(3x^2+5)(5x-2)	$y = (3 x^{2} + 5) (5 x - 2)$
84510	Solve for x	x^2-12=0	$x^{2} - 12 = 0$
84511	Solve for x	x^2=7	$x^{2} = 7$
84512	Find the Domain and Range	square root of x+2	$\sqrt{x + 2}$
84513	Solve for x	x^2-3x-3=0	$x^{2} - 3 x - 3 = 0$
84514	Find the Derivative Using Product Rule - d/dx	(2x^2+3)(5x-3)	$(2 x^{2} + 3) (5 x - 3)$
84515	Multiply	7x(9x^2)	$7 x (9 x^{2})$
84516	Solve for x	x^2-3x-7=0	$x^{2} - 3 x - 7 = 0$
84517	Solve for x	x^2-3x-8=0	$x^{2} - 3 x - 8 = 0$
84518	Find the Trig Value	sin(x)=-12/13	$\sin (x) = - \frac{12}{13}$
84519	Solve for x	x^2-2x-48=0	$x^{2} - 2 x - 48 = 0$
84520	Find the Trig Value	tan(x) = square root of 3	$\tan (x) = \sqrt{3}$
84521	Simplify	(x^2-16)/(x^2+6x+8)	$\frac{x^{2} - 16}{x^{2} + 6 x + 8}$
84522	Solve for x	x^2-2x=1	$x^{2} - 2 x = 1$
84523	Find the Trig Value	tan(x)=12/5	$\tan (x) = \frac{12}{5}$
84524	Solve for x	x^2-18=0	$x^{2} - 18 = 0$
84525	Solve for x	x^2-19=0	$x^{2} - 19 = 0$
84526	Find the Trig Value	cos(x)=1/2	$\cos (x) = \frac{1}{2}$
84527	Solve for x	x^2-20x+100=0	$x^{2} - 20 x + 100 = 0$
84528	Find the Trig Value	cos(3theta)=1	$\cos (3 θ) = 1$
84529	Solve for x	x^(2/3)-x^(1/3)-2=0	$x^{\frac{2}{3}} - x^{\frac{1}{3}} - 2 = 0$
84530	Find the Trig Value	tan(theta)=-3/8	$\tan (θ) = - \frac{3}{8}$
84531	Solve for x	x/(x-2)+3=2/(x-2)	$\frac{x}{x - 2} + 3 = \frac{2}{x - 2}$
84532	Find the Trig Value	cos(x)=-1	$\cos (x) = - 1$
84533	Solve for x	square root of x-3=x-3	$\sqrt{x - 3} = x - 3$
84534	Find the Vertex Form	x^2+10x+21	$x^{2} + 10 x + 21$
84535	Solve for x	square root of x+3+ square root of 3x+7=2	$\sqrt{x + 3} + \sqrt{3 x + 7} = 2$
84536	Find the Vertex Form	2x^2-20x+49	$2 x^{2} - 20 x + 49$
84537	Solve for x	square root of x+4=-10	$\sqrt{x + 4} = - 10$
84538	Find the Vertex Form	2x^2-16x+28	$2 x^{2} - 16 x + 28$
84539	Find the Vertex Form	-x^2+4x-7	$- x^{2} + 4 x - 7$
84540	Simplify	(-2x^4)^3	${(- 2 x^{4})}^{3}$
84541	Find the Vertex Form	x^2-12x+20	$x^{2} - 12 x + 20$
84542	Find the Vertex Form	4x^2+8x-4	$4 x^{2} + 8 x - 4$
84543	Simplify	(-2x^3)^2	${(- 2 x^{3})}^{2}$
84544	Simplify	(2x^7y)^2(y^5)^3	${(2 x^{7} y)}^{2} {(y^{5})}^{3}$
84545	Find the Vertex Form	-3x^2-9x+23	$- 3 x^{2} - 9 x + 23$
84546	Simplify	(-2x^5y^3)^3	${(- 2 x^{5} y^{3})}^{3}$
84547	Simplify	(10m^3)^-2	${(10 m^{3})}^{- 2}$
84548	Find the Vertex Form	3x^2-30x+68	$3 x^{2} - 30 x + 68$
84549	Solve for x	36x^4=85x^2-49	$36 x^{4} = 85 x^{2} - 49$
84550	Find the Vertex Form	2x^2-2x-13	$2 x^{2} - 2 x - 13$
84551	Find the Vertex Form	-2x^2-4x-5	$- 2 x^{2} - 4 x - 5$
84552	Simplify	(2x^(1/5))^5	${(2 x^{\frac{1}{5}})}^{5}$
84553	Find the Vertex Form	-3x^2+24x-51	$- 3 x^{2} + 24 x - 51$
84554	Simplify	(2q^5)^4	${(2 q^{5})}^{4}$
84555	Simplify	((-4x^3)/(8y^-2))^2	${(\frac{- 4 x^{3}}{8 y^{- 2}})}^{2}$
84556	Find the Vertex Form	5x^2+15x-2	$5 x^{2} + 15 x - 2$
84557	Simplify	((5c)/(d^2))^2	${(\frac{5 c}{d^{2}})}^{2}$
84558	Find the Vertex Form	-(x-3)(x+3)	$- (x - 3) (x + 3)$
84559	Simplify	(a^4)^2	${(a^{4})}^{2}$
84560	Simplify	(a^2b^3)^2	${(a^{2} b^{3})}^{2}$
84561	Find the Vertex Form	x^2+3/2x	$x^{2} + \frac{3}{2} x$
84562	Find the Vertex Form	-2x^2-16x-30	$- 2 x^{2} - 16 x - 30$
84563	Find the Vertex Form	2x^2-12x+20	$2 x^{2} - 12 x + 20$
84564	Find the Vertex Form	x^2-20x+104	$x^{2} - 20 x + 104$
84565	Simplify	((6n^2)/(3n))^-3	${(\frac{6 n^{2}}{3 n})}^{- 3}$
84566	Find the Vertex Form	-3x^2+30x-74	$- 3 x^{2} + 30 x - 74$
84567	Simplify	((-8y^(3/4))/(y^3z^6))^(-1/3)	${(\frac{- 8 y^{\frac{3}{4}}}{y^{3} z^{6}})}^{- \frac{1}{3}}$
84568	Find the Vertex Form	-3x^2-12x-5	$- 3 x^{2} - 12 x - 5$
84569	Find the Vertex Form	-2x^2-8x-9	$- 2 x^{2} - 8 x - 9$
84570	Simplify	((2pi)/(q^2))^3((3pi^5)/(q^-5))^-1	${(\frac{2 π}{q^{2}})}^{3} {(\frac{3 π^{5}}{q^{- 5}})}^{- 1}$
84571	Find the Vertex Form	-3x^2+6x-2	$- 3 x^{2} + 6 x - 2$
84572	Simplify	((2b)/c)^3	${(\frac{2 b}{c})}^{3}$
84573	Find the Vertex Form	x^2+10x-4	$x^{2} + 10 x - 4$
84574	Simplify	((2x^2y^-2)/(z^4))^-3	${(\frac{2 x^{2} y^{- 2}}{z^{4}})}^{- 3}$
84575	Find the Vertex Form	10(x-5)^2-37	$10 {(x - 5)}^{2} - 37$
84576	Simplify	((2xy^-3)/(z^3))^4	${(\frac{2 x y^{- 3}}{z^{3}})}^{4}$
84577	Find the Vertex Form	-3x^2-18x-23	$- 3 x^{2} - 18 x - 23$
84578	Simplify	(3^2s^3)^6	${(3^{2} s^{3})}^{6}$
84579	Find the Vertex Form	3x^2-24x+46	$3 x^{2} - 24 x + 46$
84580	Simplify	((3x^4)/y)^-3	${(\frac{3 x^{4}}{y})}^{- 3}$
84581	Find the Vertex Form	f(x)=9x^2+3x-3	$f (x) = 9 x^{2} + 3 x - 3$
84582	Simplify	((3x^-1)/(4y^-1))^-2	${(\frac{3 x^{- 1}}{4 y^{- 1}})}^{- 2}$
84583	Find the Vertex Form	-3x^2-12x-7	$- 3 x^{2} - 12 x - 7$
84584	Simplify	((3x^2y^5z^-2)/(5xz^5))^-3	${(\frac{3 x^{2} y^{5} z^{- 2}}{5 x z^{5}})}^{- 3}$
84585	Find the Vertex Form	-3x^2+18x-23	$- 3 x^{2} + 18 x - 23$
84586	Simplify	(x/4)^(1/2)	${(\frac{x}{4})}^{\frac{1}{2}}$
84587	Find the Vertex Form	x^2+18x+74	$x^{2} + 18 x + 74$
84588	Simplify	(x/6)^3	${(\frac{x}{6})}^{3}$
84589	Find the Vertex Form	-x^2-4x+3	$- x^{2} - 4 x + 3$
84590	Find the Vertex Form	2x^2+20x+47	$2 x^{2} + 20 x + 47$
84591	Simplify	(x/y)^4	${(\frac{x}{y})}^{4}$
84592	Simplify	(x^(3/2))^2	${(x^{\frac{3}{2}})}^{2}$
84593	Simplify	(x^(2/9))^3	${(x^{\frac{2}{9}})}^{3}$
84594	Find the Vertex Form	-2x^2+16x-33	$- 2 x^{2} + 16 x - 33$
84595	Simplify	(x^(3/5))^(2/3)	${(x^{\frac{3}{5}})}^{\frac{2}{3}}$
84596	Find the Vertex Form	-2x^2+16x-24	$- 2 x^{2} + 16 x - 24$
84597	Simplify	(s^2t)^3(st)	${(s^{2} t)}^{3} (s t)$
84598	Simplify	(r/s)^11	${(\frac{r}{s})}^{11}$
84599	Find the Vertex Form	4x^2+88x	$4 x^{2} + 88 x$
84600	Find the Vertex Form	3x^2-30x+77	$3 x^{2} - 30 x + 77$