Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
122901	Find the Parent Function	f(x)=-9(x+5)^2	$f (x) = - 9 {(x + 5)}^{2}$
122902	Find the Remainder	(x^3-1)/(x-4)	$\frac{(x^{3} - 1)}{(x - 4)}$
122903	Find the Remainder	(4x^3-20x-50)/(x-3)	$\frac{4 x^{3} - 20 x - 50}{x - 3}$
122904	Write with Rational (Fractional) Exponents	4 square root of x^3	$4 \sqrt{x^{3}}$
122905	Write with Rational (Fractional) Exponents	square root of 5ab	$\sqrt{5 a b}$
122906	Write with Rational (Fractional) Exponents	( cube root of y^5)/( sixth root of y^5)	$\frac{\sqrt[3]{y^{5}}}{\sqrt[6]{y^{5}}}$
122907	Write with Rational (Fractional) Exponents	(7^2)^(1/4)	${(7^{2})}^{\frac{1}{4}}$
122908	Write with Rational (Fractional) Exponents	fifth root of 7x	$\sqrt[5]{7 x}$
122909	Write with Rational (Fractional) Exponents	fifth root of 23	$\sqrt[5]{23}$
122910	Write with Rational (Fractional) Exponents	fifth root of 6^2	$\sqrt[5]{6^{2}}$
122911	Write with Rational (Fractional) Exponents	( fourth root of 110)^7	${(\sqrt[4]{110})}^{7}$
122912	Find the Midpoint	(-3,4) , (5,-2)	$(- 3, 4) (5, - 2)$
122913	Find the Focus	y=-0.25x^2+5	$y = - 0.25 x^{2} + 5$
122914	Expand the Trigonometric Expression	(5a-1)^3	${(5 a - 1)}^{3}$
122915	Expand the Trigonometric Expression	5(5x+2)	$5 (5 x + 2)$
122916	Expand the Trigonometric Expression	5x(x-3y)	$5 x (x - 3 y)$
122917	Find the Symmetry	y=x^4-2x^2-8	$y = x^{4} - 2 x^{2} - 8$
122918	Find the Symmetry	y^2=x^2+15	$y^{2} = x^{2} + 15$
122919	Find the Symmetry	y^2=x^2+18	$y^{2} = x^{2} + 18$
122920	Find the Symmetry	y^2=x^2+13	$y^{2} = x^{2} + 13$
122921	Rationalize the Denominator	( square root of 11-2)/( square root of 11+2)	$\frac{\sqrt{11} - 2}{\sqrt{11} + 2}$
122922	Rationalize the Denominator	4/(2- square root of 3)	$\frac{4}{2 - \sqrt{3}}$
122923	Rationalize the Denominator	4/(8- square root of 5)	$\frac{4}{8 - \sqrt{5}}$
122924	Rationalize the Denominator	3/( square root of 2x)	$\frac{3}{\sqrt{2 x}}$
122925	Rationalize the Denominator	3/(6- square root of 2)	$\frac{3}{6 - \sqrt{2}}$
122926	Rationalize the Denominator	(3 square root of 7)/( square root of 5)	$\frac{3 \sqrt{7}}{\sqrt{5}}$
122927	Rationalize the Denominator	(3 square root of 7)/( square root of 2)	$\frac{3 \sqrt{7}}{\sqrt{2}}$
122928	Rationalize the Denominator	y/( square root of 7+ square root of y)	$\frac{y}{\sqrt{7} + \sqrt{y}}$
122929	Rationalize the Denominator	9/( square root of 7+ square root of 3)	$\frac{9}{\sqrt{7} + \sqrt{3}}$
122930	Rationalize the Denominator	(6+ square root of 15)/(5- square root of 15)	$\frac{6 + \sqrt{15}}{5 - \sqrt{15}}$
122931	Rationalize the Denominator	4/(9- square root of 2)	$\frac{4}{9 - \sqrt{2}}$
122932	Rationalize the Denominator	2/( square root of 5+ square root of 2)	$\frac{2}{\sqrt{5} + \sqrt{2}}$
122933	Rationalize the Denominator	15/( cube root of 25)	$\frac{15}{\sqrt[3]{25}}$
122934	Rationalize the Denominator	8/(4- square root of 3)	$\frac{8}{4 - \sqrt{3}}$
122935	Rationalize the Denominator	1/(1+ square root of 2)	$\frac{1}{1 + \sqrt{2}}$
122936	Rationalize the Denominator	( square root of 13+ square root of 3)/( square root of 13- square root of 3)	$\frac{\sqrt{13} + \sqrt{3}}{\sqrt{13} - \sqrt{3}}$
122937	Calculate the Square Root	-25	$- 25$
122938	Describe the Transformation	2^x-2	$2^{x} - 2$
122939	Describe the Transformation	y = square root of 9x-63+4	$y = \sqrt{9 x - 63} + 4$
122940	Describe the Transformation	g(x)=\|6x\|	$g (x) = \| 6 x \|$
122941	Describe the Transformation	g(x)=-6x^2	$g (x) = - 6 x^{2}$
122942	Describe the Transformation	g(x)=1/3x^3	$g (x) = \frac{1}{3} x^{3}$
122943	Describe the Transformation	g(x)=- square root of 3x+2	$g (x) = - \sqrt{3 x} + 2$
122944	Find Where Increasing/Decreasing	y=(x-7)^3	$y = {(x - 7)}^{3}$
122945	Write as a Set of Linear Factors	16x^4-72x^3+113x^2-44x+5	$16 x^{4} - 72 x^{3} + 113 x^{2} - 44 x + 5$
122946	Simplify the Matrix	table[[x,y],[0,-3],[2,5],[3,9]]	$\begin{array}{c} x & y \\ 0 & - 3 \\ 2 & 5 \\ 3 & 9 \end{array}$
122947	Write the Fraction in Simplest Form	3 1/6÷(5/8)	$3 \frac{1}{6} \div \frac{5}{8}$
122948	Write the Fraction in Simplest Form	64 2/3	$64 \frac{2}{3}$
122949	Find Three Ordered Pair Solutions	3y=3	$3 y = 3$
122950	Find Three Ordered Pair Solutions	y=5/7x+6	$y = \frac{5}{7} x + 6$
122951	Find Three Ordered Pair Solutions	-x+6y=2	$- x + 6 y = 2$
122952	Find Three Ordered Pair Solutions	2x+3y=16	$2 x + 3 y = 16$
122953	Find the Slope and y-intercept	-4x+2	$- 4 x + 2$
122954	Find the LCD	5x+25 , x+5	$5 x + 25$ , $x + 5$
122955	Find the LCD	(3a)/(5b^2) , 2/(10a^3b)	$\frac{3 a}{5 b^{2}}$ , $\frac{2}{10 a^{3} b}$
122956	Find the LCD	-3/(2y) , 6/(3y)	$\frac{- 3}{2 y}$ , $\frac{6}{3 y}$
122957	Find the Constant of Variation	8x+9y=10	$8 x + 9 y = 10$
122958	Find the Constant of Variation	6y=5x+1	$6 y = 5 x + 1$
122959	Find the LCD	x/(x^2-9) , 6/x , 5/(18-6x)	$\frac{x}{x^{2} - 9}$ , $\frac{6}{x}$ , $\frac{5}{18 - 6 x}$
122960	Find the Discriminant	8x^2-3x+7=0	$8 x^{2} - 3 x + 7 = 0$
122961	Find the Discriminant	9s^2+6s+1=0	$9 s^{2} + 6 s + 1 = 0$
122962	Find the Discriminant	7x^2-6x+4=0	$7 x^{2} - 6 x + 4 = 0$
122963	Find the Discriminant	7x^2-8x+5=0	$7 x^{2} - 8 x + 5 = 0$
122964	Find the Discriminant	7x^2-9x+4=0	$7 x^{2} - 9 x + 4 = 0$
122965	Find the Discriminant	2v^2+8v+8=0	$2 v^{2} + 8 v + 8 = 0$
122966	Find the Discriminant	2w^2+8w+8=0	$2 w^{2} + 8 w + 8 = 0$
122967	Find the Discriminant	2x^2+15x=-30	$2 x^{2} + 15 x = - 30$
122968	Find the Discriminant	3t^2-4t=0	$3 t^{2} - 4 t = 0$
122969	Find the Discriminant	3w^2+6w+3=0	$3 w^{2} + 6 w + 3 = 0$
122970	Find the Discriminant	3x^2=6x-11	$3 x^{2} = 6 x - 11$
122971	Find the Discriminant	4x^2-8x+9=0	$4 x^{2} - 8 x + 9 = 0$
122972	Find the Discriminant	4x^2+10x-6=0	$4 x^{2} + 10 x - 6 = 0$
122973	Find the Discriminant	6x^2-3x+4=0	$6 x^{2} - 3 x + 4 = 0$
122974	Find the Discriminant	6x^2-8=4x^2+7x	$6 x^{2} - 8 = 4 x^{2} + 7 x$
122975	Find the Discriminant	5x^2-2x+6=0	$5 x^{2} - 2 x + 6 = 0$
122976	Find the Discriminant	v^2+4v+4=0	$v^{2} + 4 v + 4 = 0$
122977	Find the Discriminant	3x^2-7x+8=0	$3 x^{2} - 7 x + 8 = 0$
122978	Find the End Behavior	f(x)=-x^3+6x^2-10x+4	$f (x) = - x^{3} + 6 x^{2} - 10 x + 4$
122979	Find the End Behavior	p(x)=-pix^6+x^5-x^4-x+9	$p (x) = - π x^{6} + x^{5} - x^{4} - x + 9$
122980	Find the End Behavior	y=6x^3	$y = 6 x^{3}$
122981	Find the End Behavior	f(x)=-x^7+bx^3+c	$f (x) = - x^{7} + b x^{3} + c$
122982	Find the Axis of Symmetry	f(x)=(x+8)^2-1	$f (x) = {(x + 8)}^{2} - 1$
122983	Find the Axis of Symmetry	f(x)=1/4x^2-x+9	$f (x) = \frac{1}{4} x^{2} - x + 9$
122984	Find the Axis of Symmetry	f(x)=x^2+12x+41	$f (x) = x^{2} + 12 x + 41$
122985	Find the LCM	10x^2 , 30xy^2	$10 x^{2}$ , $30 x y^{2}$
122986	Find the LCM	25x^2-4 , 3x^2-10x-8	$25 x^{2} - 4$ , $3 x^{2} - 10 x - 8$
122987	Find the LCM	6(x^2-4) , 2x(x+2)	$6 (x^{2} - 4)$ , $2 x (x + 2)$
122988	Find the LCM	3 , 5 , 2	$3$ , $5$ , $2$
122989	Find the LCM	5 , 2 , 15	$5$ , $2$ , $15$
122990	Find the LCM	t^2-25 , t+5	$t^{2} - 25$ , $t + 5$
122991	Find the LCM	y^2 , y+3	$y^{2}$ , $y + 3$
122992	Find the Function Rule	table[[x,y],[3,1],[4,2],[5,3]]	$\begin{array}{c} x & y \\ 3 & 1 \\ 4 & 2 \\ 5 & 3 \end{array}$
122993	Find the Axis of Symmetry	g(x)=2/3x(x+8)	$g (x) = \frac{2}{3} x (x + 8)$
122994	Verify the Identity	sin(x+y)+sin(x-y)=2cos(x)sin(y)	$\sin (x + y) + \sin (x - y) = 2 \cos (x) \sin (y)$
122995	Solve the System of @WORD	y<3x-1y>\|x-2\|	$y < 3 x - 1 y > \| x - 2 \|$
122996	Solve the System of @WORD	log of x-3<2	$\log (x - 3) < 2$
122997	Find the Inverse	[[-2,5],[1,-2]]	$[\begin{array}{c} - 2 & 5 \\ 1 & - 2 \end{array}]$
122998	Find the Inverse	[[1,2],[3,7]]	$[\begin{array}{c} 1 & 2 \\ 3 & 7 \end{array}]$
122999	Find the Inverse	[[5,10],[2,4]]	$[\begin{array}{c} 5 & 10 \\ 2 & 4 \end{array}]$
123000	Find the Inverse	[[8,3],[9,4]]	$[\begin{array}{c} 8 & 3 \\ 9 & 4 \end{array}]$