Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
122901	Expand the Trigonometric Expression	5x(x-3y)	$5 x (x - 3 y)$
122902	Find the Symmetry	y=x^4-2x^2-8	$y = x^{4} - 2 x^{2} - 8$
122903	Find the Symmetry	y^2=x^2+15	$y^{2} = x^{2} + 15$
122904	Find the Symmetry	y^2=x^2+18	$y^{2} = x^{2} + 18$
122905	Find the Symmetry	y^2=x^2+13	$y^{2} = x^{2} + 13$
122906	Rationalize the Denominator	( square root of 11-2)/( square root of 11+2)	$\frac{\sqrt{11} - 2}{\sqrt{11} + 2}$
122907	Rationalize the Denominator	4/(2- square root of 3)	$\frac{4}{2 - \sqrt{3}}$
122908	Rationalize the Denominator	4/(8- square root of 5)	$\frac{4}{8 - \sqrt{5}}$
122909	Rationalize the Denominator	3/( square root of 2x)	$\frac{3}{\sqrt{2 x}}$
122910	Rationalize the Denominator	3/(6- square root of 2)	$\frac{3}{6 - \sqrt{2}}$
122911	Rationalize the Denominator	(3 square root of 7)/( square root of 5)	$\frac{3 \sqrt{7}}{\sqrt{5}}$
122912	Rationalize the Denominator	(3 square root of 7)/( square root of 2)	$\frac{3 \sqrt{7}}{\sqrt{2}}$
122913	Rationalize the Denominator	y/( square root of 7+ square root of y)	$\frac{y}{\sqrt{7} + \sqrt{y}}$
122914	Rationalize the Denominator	9/( square root of 7+ square root of 3)	$\frac{9}{\sqrt{7} + \sqrt{3}}$
122915	Rationalize the Denominator	(6+ square root of 15)/(5- square root of 15)	$\frac{6 + \sqrt{15}}{5 - \sqrt{15}}$
122916	Rationalize the Denominator	4/(9- square root of 2)	$\frac{4}{9 - \sqrt{2}}$
122917	Rationalize the Denominator	2/( square root of 5+ square root of 2)	$\frac{2}{\sqrt{5} + \sqrt{2}}$
122918	Rationalize the Denominator	15/( cube root of 25)	$\frac{15}{\sqrt[3]{25}}$
122919	Rationalize the Denominator	8/(4- square root of 3)	$\frac{8}{4 - \sqrt{3}}$
122920	Rationalize the Denominator	1/(1+ square root of 2)	$\frac{1}{1 + \sqrt{2}}$
122921	Rationalize the Denominator	( square root of 13+ square root of 3)/( square root of 13- square root of 3)	$\frac{\sqrt{13} + \sqrt{3}}{\sqrt{13} - \sqrt{3}}$
122922	Calculate the Square Root	-25	$- 25$
122923	Describe the Transformation	2^x-2	$2^{x} - 2$
122924	Describe the Transformation	y = square root of 9x-63+4	$y = \sqrt{9 x - 63} + 4$
122925	Describe the Transformation	g(x)=\|6x\|	$g (x) = \| 6 x \|$
122926	Describe the Transformation	g(x)=-6x^2	$g (x) = - 6 x^{2}$
122927	Describe the Transformation	g(x)=1/3x^3	$g (x) = \frac{1}{3} x^{3}$
122928	Describe the Transformation	g(x)=- square root of 3x+2	$g (x) = - \sqrt{3 x} + 2$
122929	Find Where Increasing/Decreasing	y=(x-7)^3	$y = {(x - 7)}^{3}$
122930	Write as a Set of Linear Factors	16x^4-72x^3+113x^2-44x+5	$16 x^{4} - 72 x^{3} + 113 x^{2} - 44 x + 5$
122931	Simplify the Matrix	table[[x,y],[0,-3],[2,5],[3,9]]	$\begin{array}{c} x & y \\ 0 & - 3 \\ 2 & 5 \\ 3 & 9 \end{array}$
122932	Write the Fraction in Simplest Form	3 1/6÷(5/8)	$3 \frac{1}{6} \div \frac{5}{8}$
122933	Write the Fraction in Simplest Form	64 2/3	$64 \frac{2}{3}$
122934	Find Three Ordered Pair Solutions	3y=3	$3 y = 3$
122935	Find Three Ordered Pair Solutions	y=5/7x+6	$y = \frac{5}{7} x + 6$
122936	Find Three Ordered Pair Solutions	-x+6y=2	$- x + 6 y = 2$
122937	Find Three Ordered Pair Solutions	2x+3y=16	$2 x + 3 y = 16$
122938	Find the Slope and y-intercept	-4x+2	$- 4 x + 2$
122939	Find the LCD	5x+25 , x+5	$5 x + 25$ , $x + 5$
122940	Find the LCD	(3a)/(5b^2) , 2/(10a^3b)	$\frac{3 a}{5 b^{2}}$ , $\frac{2}{10 a^{3} b}$
122941	Find the LCD	-3/(2y) , 6/(3y)	$\frac{- 3}{2 y}$ , $\frac{6}{3 y}$
122942	Find the Constant of Variation	8x+9y=10	$8 x + 9 y = 10$
122943	Find the Constant of Variation	6y=5x+1	$6 y = 5 x + 1$
122944	Find the LCD	x/(x^2-9) , 6/x , 5/(18-6x)	$\frac{x}{x^{2} - 9}$ , $\frac{6}{x}$ , $\frac{5}{18 - 6 x}$
122945	Find the Discriminant	8x^2-3x+7=0	$8 x^{2} - 3 x + 7 = 0$
122946	Find the Discriminant	9s^2+6s+1=0	$9 s^{2} + 6 s + 1 = 0$
122947	Find the Discriminant	7x^2-6x+4=0	$7 x^{2} - 6 x + 4 = 0$
122948	Find the Discriminant	7x^2-8x+5=0	$7 x^{2} - 8 x + 5 = 0$
122949	Find the Discriminant	7x^2-9x+4=0	$7 x^{2} - 9 x + 4 = 0$
122950	Find the Discriminant	2v^2+8v+8=0	$2 v^{2} + 8 v + 8 = 0$
122951	Find the Discriminant	2w^2+8w+8=0	$2 w^{2} + 8 w + 8 = 0$
122952	Find the Discriminant	2x^2+15x=-30	$2 x^{2} + 15 x = - 30$
122953	Find the Discriminant	3t^2-4t=0	$3 t^{2} - 4 t = 0$
122954	Find the Discriminant	3w^2+6w+3=0	$3 w^{2} + 6 w + 3 = 0$
122955	Find the Discriminant	3x^2=6x-11	$3 x^{2} = 6 x - 11$
122956	Find the Discriminant	4x^2-8x+9=0	$4 x^{2} - 8 x + 9 = 0$
122957	Find the Discriminant	4x^2+10x-6=0	$4 x^{2} + 10 x - 6 = 0$
122958	Find the Discriminant	6x^2-3x+4=0	$6 x^{2} - 3 x + 4 = 0$
122959	Find the Discriminant	6x^2-8=4x^2+7x	$6 x^{2} - 8 = 4 x^{2} + 7 x$
122960	Find the Discriminant	5x^2-2x+6=0	$5 x^{2} - 2 x + 6 = 0$
122961	Find the Discriminant	v^2+4v+4=0	$v^{2} + 4 v + 4 = 0$
122962	Find the Discriminant	3x^2-7x+8=0	$3 x^{2} - 7 x + 8 = 0$
122963	Find the End Behavior	f(x)=-x^3+6x^2-10x+4	$f (x) = - x^{3} + 6 x^{2} - 10 x + 4$
122964	Find the End Behavior	p(x)=-pix^6+x^5-x^4-x+9	$p (x) = - π x^{6} + x^{5} - x^{4} - x + 9$
122965	Find the End Behavior	y=6x^3	$y = 6 x^{3}$
122966	Find the End Behavior	f(x)=-x^7+bx^3+c	$f (x) = - x^{7} + b x^{3} + c$
122967	Find the Axis of Symmetry	f(x)=(x+8)^2-1	$f (x) = {(x + 8)}^{2} - 1$
122968	Find the Axis of Symmetry	f(x)=1/4x^2-x+9	$f (x) = \frac{1}{4} x^{2} - x + 9$
122969	Find the Axis of Symmetry	f(x)=x^2+12x+41	$f (x) = x^{2} + 12 x + 41$
122970	Find the LCM	10x^2 , 30xy^2	$10 x^{2}$ , $30 x y^{2}$
122971	Find the LCM	25x^2-4 , 3x^2-10x-8	$25 x^{2} - 4$ , $3 x^{2} - 10 x - 8$
122972	Find the LCM	6(x^2-4) , 2x(x+2)	$6 (x^{2} - 4)$ , $2 x (x + 2)$
122973	Find the LCM	3 , 5 , 2	$3$ , $5$ , $2$
122974	Find the LCM	5 , 2 , 15	$5$ , $2$ , $15$
122975	Find the LCM	t^2-25 , t+5	$t^{2} - 25$ , $t + 5$
122976	Find the LCM	y^2 , y+3	$y^{2}$ , $y + 3$
122977	Find the Function Rule	table[[x,y],[3,1],[4,2],[5,3]]	$\begin{array}{c} x & y \\ 3 & 1 \\ 4 & 2 \\ 5 & 3 \end{array}$
122978	Find the Axis of Symmetry	g(x)=2/3x(x+8)	$g (x) = \frac{2}{3} x (x + 8)$
122979	Verify the Identity	sin(x+y)+sin(x-y)=2cos(x)sin(y)	$\sin (x + y) + \sin (x - y) = 2 \cos (x) \sin (y)$
122980	Solve the System of @WORD	y<3x-1y>\|x-2\|	$y < 3 x - 1 y > \| x - 2 \|$
122981	Solve the System of @WORD	log of x-3<2	$\log (x - 3) < 2$
122982	Find the Inverse	[[-2,5],[1,-2]]	$[\begin{array}{c} - 2 & 5 \\ 1 & - 2 \end{array}]$
122983	Find the Inverse	[[1,2],[3,7]]	$[\begin{array}{c} 1 & 2 \\ 3 & 7 \end{array}]$
122984	Find the Inverse	[[5,10],[2,4]]	$[\begin{array}{c} 5 & 10 \\ 2 & 4 \end{array}]$
122985	Find the Inverse	[[8,3],[9,4]]	$[\begin{array}{c} 8 & 3 \\ 9 & 4 \end{array}]$
122986	Find the Mean	1 , 2 , 4 , 6 , 4	$1$ , $2$ , $4$ , $6$ , $4$
122987	Find the Mean	128 , 96 , 72 , 54	$128$ , $96$ , $72$ , $54$
122988	Factor over the Complex Numbers	4x^8+16	$4 x^{8} + 16$
122989	Factor over the Complex Numbers	y^3+2y^2+16y+32	$y^{3} + 2 y^{2} + 16 y + 32$
122990	Find the Inverse	[[1,2],[-2,4]]	$[\begin{array}{c} 1 & 2 \\ - 2 & 4 \end{array}]$
122991	Find the Mean	23 , 79 , 81 , 10 , 62	$23$ , $79$ , $81$ , $10$ , $62$
122992	Find the Mean	8 , 10 , 10 , 10 , 6 , 7 , 8	$8$ , $10$ , $10$ , $10$ , $6$ , $7$ , $8$
122993	Find the Integral	sec(x)^4	$\sec^{4} (x)$
122994	Find the Inverse	[[1,5],[1,10]]	$[\begin{array}{c} 1 & 5 \\ 1 & 10 \end{array}]$
122995	Solve the System of @WORD	1<3x-2<4	$1 < 3 x - 2 < 4$
122996	Solve the System of @WORD	6x-2y<106x+3y>=15	$6 x - 2 y < 106 x + 3 y \geq 15$
122997	Solve the System of @WORD	3x+2y>=-2x+2y<=2	$3 x + 2 y \geq - 2 x + 2 y \leq 2$
122998	Solve the System of @WORD	log base 3 of x>2	$\log_{3} (x) > 2$
122999	Verify the Identity	(cos(x)-sin(x))^2=1-2sin(x)cos(x)	${(\cos (x) - \sin (x))}^{2} = 1 - 2 \sin (x) \cos (x)$
123000	Find the Maximum/Minimum Value	2x^2+8x-6	$2 x^{2} + 8 x - 6$