Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
124901	Find the Degree, Leading Term, and Leading Coefficient	a^2-6a^3+8-a	$a^{2} - 6 a^{3} + 8 - a$
124902	Find the Degree, Leading Term, and Leading Coefficient	14h^3+2h+10	$14 h^{3} + 2 h + 10$
124903	Find the Degree, Leading Term, and Leading Coefficient	5z^6-1.5z^7+z	$5 z^{6} - 1.5 z^{7} + z$
124904	Find the Degree, Leading Term, and Leading Coefficient	6+7x-4x^3+x^2	$6 + 7 x - 4 x^{3} + x^{2}$
124905	Find the Next Term	5/6 , 2/3 , 1/2 , 1/3	$\frac{5}{6}$ , $\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{1}{3}$
124906	Find the Inverse	5 cube root of x	$5 \sqrt[3]{x}$
124907	Find the Inverse	x^5-5	$x^{5} - 5$
124908	Find the Inverse	1/4x-7	$\frac{1}{4} x - 7$
124909	Find the Inverse	10/(x-7)	$\frac{10}{x - 7}$
124910	Find the Inverse	18/x	$\frac{18}{x}$
124911	Find the Inverse	cube root of 9x	$\sqrt[3]{9 x}$
124912	Find the Inverse	cube root of 3x+4	$\sqrt[3]{3 x + 4}$
124913	Find the Inverse	cube root of 5x-4	$\sqrt[3]{5 x - 4}$
124914	Find the Inverse	(x-1)/(x+5)	$\frac{x - 1}{x + 5}$
124915	Find the Inverse	(3x+4)/(2x-3)	$\frac{3 x + 4}{2 x - 3}$
124916	Find the Inverse	(3x-5)/2	$\frac{3 x - 5}{2}$
124917	Find the Inverse	7/(x^4)+12	$\frac{7}{x^{4}} + 12$
124918	Find the Inverse	(34x)/(100-x)	$\frac{34 x}{100 - x}$
124919	Determine if Odd, Even, or Neither	3x^3+2x^2+1	$3 x^{3} + 2 x^{2} + 1$
124920	Determine if Odd, Even, or Neither	-2x^3+7x	$- 2 x^{3} + 7 x$
124921	Determine if Odd, Even, or Neither	x^3-6x	$x^{3} - 6 x$
124922	Find the Second Derivative	xy+6e^y=6e	$x y + 6 e^{y} = 6 e$
124923	Convert from Degrees to Radians	-345	$- 345$
124924	Convert from Degrees to Radians	-750	$- 750$
124925	Convert from Degrees to Radians	arccot(-6)	$arccot (- 6)$
124926	Convert from Degrees to Radians	arctan(( square root of 3)/3)	$\tan^{-1} (\frac{\sqrt{3}}{3})$
124927	Find the Vertex Form	f(x)=8x^2+2x-5	$f (x) = 8 x^{2} + 2 x - 5$
124928	Find the Vertex Form	f(x)=-6x^2+42x	$f (x) = - 6 x^{2} + 42 x$
124929	Find the Vertex Form	f(x)=-2x^2-4x+1	$f (x) = - 2 x^{2} - 4 x + 1$
124930	Find the Absolute Max and Min over the Interval	f(x)=4x^5-9x^3-6x^2-9 ; [1,2]	$f (x) = 4 x^{5} - 9 x^{3} - 6 x^{2} - 9$ ; $[1, 2]$
124931	Find the Factors Using the Factor Theorem	4x^3-12x^2-x+3 ; x-3	$4 x^{3} - 12 x^{2} - x + 3$ ; $x - 3$
124932	Find the Behavior (Leading Coefficient Test)	f(x)=-4x^3-2x^2+2x+1	$f (x) = - 4 x^{3} - 2 x^{2} + 2 x + 1$
124933	Rationalize the Denominator	5/( square root of 10x)	$\frac{5}{\sqrt{10 x}}$
124934	Rationalize the Denominator	-5/(3 square root of 5+2)	$\frac{- 5}{3 \sqrt{5} + 2}$
124935	Rationalize the Denominator	(5 square root of 2)/(3 square root of 7x)	$\frac{5 \sqrt{2}}{3 \sqrt{7 x}}$
124936	Rationalize the Denominator	(5a)/( fifth root of 4a^8b^12)	$\frac{5 a}{\sqrt[5]{4 a^{8} b^{12}}}$
124937	Rationalize the Denominator	(4+ square root of 6)/(4+ square root of 2)	$\frac{4 + \sqrt{6}}{4 + \sqrt{2}}$
124938	Rationalize the Denominator	(4x)/( square root of 3x+11)	$\frac{4 x}{\sqrt{3 x + 11}}$
124939	Rationalize the Denominator	( square root of 11- square root of 2)/( square root of 22- square root of 21)	$\frac{\sqrt{11} - \sqrt{2}}{\sqrt{22} - \sqrt{21}}$
124940	Rationalize the Denominator	( cube root of 3y^4)/( cube root of 6x^4)	$\frac{\sqrt[3]{3 y^{4}}}{\sqrt[3]{6 x^{4}}}$
124941	Rationalize the Denominator	6/(9- square root of 2)	$\frac{6}{9 - \sqrt{2}}$
124942	Rationalize the Denominator	(6 square root of 2)/(2 square root of 3- square root of 5)	$\frac{6 \sqrt{2}}{2 \sqrt{3} - \sqrt{5}}$
124943	Rationalize the Denominator	1/( square root of 81)	$\frac{1}{\sqrt{81}}$
124944	Rationalize the Denominator	( square root of z)/( square root of z- square root of 5)	$\frac{\sqrt{z}}{\sqrt{z} - \sqrt{5}}$
124945	Rationalize the Denominator	( square root of 5w)/( square root of 7)	$\frac{\sqrt{5 w}}{\sqrt{7}}$
124946	Rationalize the Denominator	7/(8+ square root of 5)	$\frac{7}{8 + \sqrt{5}}$
124947	Rationalize the Denominator	(7 square root of 3+3 square root of 5)/(8 square root of 3-5 square root of 5)	$\frac{7 \sqrt{3} + 3 \sqrt{5}}{8 \sqrt{3} - 5 \sqrt{5}}$
124948	Rationalize the Denominator	-7/(2 square root of 5-1)	$\frac{- 7}{2 \sqrt{5} - 1}$
124949	Rationalize the Denominator	8/( cube root of 5^2)	$\frac{8}{\sqrt[3]{5^{2}}}$
124950	Rationalize the Denominator	8/( square root of 5+ square root of 2)	$\frac{8}{\sqrt{5} + \sqrt{2}}$
124951	Rationalize the Denominator	( square root of 5)/( square root of 11+ square root of 5)	$\frac{\sqrt{5}}{\sqrt{11} + \sqrt{5}}$
124952	Rationalize the Denominator	( square root of 3w)/( square root of 7)	$\frac{\sqrt{3 w}}{\sqrt{7}}$
124953	Rationalize the Denominator	13/(3+ square root of 23)	$\frac{13}{3 + \sqrt{23}}$
124954	Rationalize the Denominator	cube root of 9/25	$\sqrt[3]{\frac{9}{25}}$
124955	Rationalize the Denominator	17/(5+ square root of 31)	$\frac{17}{5 + \sqrt{31}}$
124956	Rationalize the Denominator	2/( square root of 8)	$\frac{2}{\sqrt{8}}$
124957	Rationalize the Denominator	(2- square root of 5)/(2+3 square root of 5)	$\frac{2 - \sqrt{5}}{2 + 3 \sqrt{5}}$
124958	Rationalize the Denominator	(-11x^3)/( square root of 5x-2)	$\frac{- 11 x^{3}}{\sqrt{5 x - 2}}$
124959	Find the Symmetry	5x^4+6=y^2	$5 x^{4} + 6 = y^{2}$
124960	Find the Symmetry	x^2-y-6=0	$x^{2} - y - 6 = 0$
124961	Find the Symmetry	x^2+y+4=0	$x^{2} + y + 4 = 0$
124962	Find the Symmetry	x^2-y^3=16	$x^{2} - y^{3} = 16$
124963	Find the Symmetry	y=-\|2x\|	$y = - \| 2 x \|$
124964	Find the Axis of Symmetry	f(x)=x^2+12x+20	$f (x) = x^{2} + 12 x + 20$
124965	Find the Axis of Symmetry	f(x)=-1/5x^2-2x+5	$f (x) = - \frac{1}{5} x^{2} - 2 x + 5$
124966	Find the Axis of Symmetry	f(x)=-(x+2)^2-4	$f (x) = - {(x + 2)}^{2} - 4$
124967	Find the Axis of Symmetry	f(x)=x^2-3x-3	$f (x) = x^{2} - 3 x - 3$
124968	Find the Axis of Symmetry	f(x)=-(x-8)^2-25	$f (x) = - {(x - 8)}^{2} - 25$
124969	Find the End Behavior	g(x)=-4x^4+3x^3+2x^2	$g (x) = - 4 x^{4} + 3 x^{3} + 2 x^{2}$
124970	Find the End Behavior	4x^8-6x^7+3x^3-10	$4 x^{8} - 6 x^{7} + 3 x^{3} - 10$
124971	Find the End Behavior	P(x)=-pix^6+x^5-x^4-x+2	$P (x) = - π x^{6} + x^{5} - x^{4} - x + 2$
124972	Find Reduced Row Echelon Form	[[4,8,-1,10],[3,-8,9,14],[7,6,5,0]]	$[\begin{array}{c} 4 & 8 & - 1 & 10 \\ 3 & - 8 & 9 & 14 \\ 7 & 6 & 5 & 0 \end{array}]$
124973	Find the LCM	36x^2 , 9x^2-18x	$36 x^{2}$ , $9 x^{2} - 18 x$
124974	Find the LCM	18m^2 , 45m	$18 m^{2}$ , $45 m$
124975	Find the LCM	18 , 4 , 12	$18$ , $4$ , $12$
124976	Find the LCM	6 , 8 , 4	$6$ , $8$ , $4$
124977	Find the LCM	5a , a-1	$5 a$ , $a - 1$
124978	Find the LCM	24cd , 40a^2c^3d^4 , 15abd^3	$24 c d$ , $40 a^{2} c^{3} d^{4}$ , $15 a b d^{3}$
124979	Find the LCM	6 , 15 , 20	$6$ , $15$ , $20$
124980	Find the LCM	14t^2 , 42t^5	$14 t^{2}$ , $42 t^{5}$
124981	Find the LCM	18abc^4 , 42ac^3 , 63ab^2	$18 a b c^{4}$ , $42 a c^{3}$ , $63 a b^{2}$
124982	Find the LCM	8 , 12 , 20	$8$ , $12$ , $20$
124983	Find the LCM	x+1 , x+3	$x + 1$ , $x + 3$
124984	Find the End Behavior	y=50-3x^3+5x^2	$y = 50 - 3 x^{3} + 5 x^{2}$
124985	Expand the Trigonometric Expression	(y-2x)^4	${(y - 2 x)}^{4}$
124986	Expand the Trigonometric Expression	(y-2x)^7	${(y - 2 x)}^{7}$
124987	Expand the Trigonometric Expression	(z-1)^7	${(z - 1)}^{7}$
124988	Find the Midpoint	(3,-2) , (-4,5)	$(3, - 2)$ , $(- 4, 5)$
124989	Find the Midpoint	(-2,3) , (10,3)	$(- 2, 3) (10, 3)$
124990	Find the Midpoint	(0,8) , (5,3)	$(0, 8) (5, 3)$
124991	Expand the Trigonometric Expression	5(x+h)^3	$5 {(x + h)}^{3}$
124992	Expand the Trigonometric Expression	1/6(18x-24)	$\frac{1}{6} (18 x - 24)$
124993	Expand the Trigonometric Expression	(3u-v)^6	${(3 u - v)}^{6}$
124994	Find the Focus	y^2+6y-3x+3=0	$y^{2} + 6 y - 3 x + 3 = 0$
124995	Find the Midpoint	(7,4) , (9,-1)	$(7, 4)$ , $(9, - 1)$
124996	Write with Rational (Fractional) Exponents	square root of (72x^5y^3)/(4x^2y^7)	$\sqrt{\frac{72 x^{5} y^{3}}{4 x^{2} y^{7}}}$
124997	Write with Rational (Fractional) Exponents	square root of 65x^4y	$\sqrt{65 x^{4} y}$
124998	Write with Rational (Fractional) Exponents	( ninth root of v)^-1	${(\sqrt[9]{v})}^{- 1}$
124999	Write with Rational (Fractional) Exponents	cube root of 19^3	$\sqrt[3]{19^{3}}$
125000	Write with Rational (Fractional) Exponents	cube root of a^4	$\sqrt[3]{a^{4}}$