Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
121901	Identify the Zeros and Their Multiplicities	x^4-21x^2+80	$x^{4} - 21 x^{2} + 80$
121902	Identify the Zeros and Their Multiplicities	x^3-15x^2+75x-125	$x^{3} - 15 x^{2} + 75 x - 125$
121903	Identify the Zeros and Their Multiplicities	f(x)=2x^3-x^2-50x+25	$f (x) = 2 x^{3} - x^{2} - 50 x + 25$
121904	Identify the Zeros and Their Multiplicities	f(x)=x^2(x-4)^3(x+3)	$f (x) = x^{2} {(x - 4)}^{3} (x + 3)$
121905	Find the Domain	f(x)=1/x , g(x)=x^2 , g(f(x))	$f (x) = \frac{1}{x}$ , $g (x) = x^{2}$ , $g (f (x))$
121906	Find the Vertex Form	-3x^2+24x-41	$- 3 x^{2} + 24 x - 41$
121907	Find the Slope of a Perpendicular Line	-7x+5y=-9	$- 7 x + 5 y = - 9$
121908	Find the Slope of a Perpendicular Line	y=-9x+4	$y = - 9 x + 4$
121909	Find the Prime Factorization	8281	$8281$
121910	Find the Vertex Form	f(x)=x^2+3x+1	$f (x) = x^{2} + 3 x + 1$
121911	Find the Vertex Form	p(x)=6x^2-18x+6	$p (x) = 6 x^{2} - 18 x + 6$
121912	Find the Remainder	(3x^4+2x^3-x^2+2x-14)/(x+2)	$\frac{(3 x^{4} + 2 x^{3} - x^{2} + 2 x - 14)}{(x + 2)}$
121913	Write the Fraction in Simplest Form	(2^-7*5^5)^2	${(2^{- 7} \cdot 5^{5})}^{2}$
121914	Write the Fraction in Simplest Form	(1/56)÷(7/8)	$\frac{1}{56} \div \frac{7}{8}$
121915	Write the Fraction in Simplest Form	(2/3)÷3	$\frac{2}{3} \div 3$
121916	Convert to a Mixed Number	2.004	$2.004$
121917	Convert to a Mixed Number	9.7366	$9.7366$
121918	Find dx/dy	cos(5y)=x	$\cos (5 y) = x$
121919	Find dx/dy	xy^4-y=x	$x y^{4} - y = x$
121920	Find dx/dy	cos(3y)=x	$\cos (3 y) = x$
121921	Find dy/dx	x^3+y^3=16	$x^{3} + y^{3} = 16$
121922	Find dy/dx	xy^4-y=x	$x y^{4} - y = x$
121923	Find the Symmetry	x=y^2+11	$x = y^{2} + 11$
121924	Find the Symmetry	y^2=x^2+17	$y^{2} = x^{2} + 17$
121925	Find the Symmetry	y^2=x^2+5	$y^{2} = x^{2} + 5$
121926	Find the Symmetry	x^2+2y^4=3	$x^{2} + 2 y^{4} = 3$
121927	Rationalize the Denominator	( square root of 6)/( square root of 13+ square root of 6)	$\frac{\sqrt{6}}{\sqrt{13} + \sqrt{6}}$
121928	Rationalize the Denominator	( square root of 5)/( square root of 13+ square root of 5)	$\frac{\sqrt{5}}{\sqrt{13} + \sqrt{5}}$
121929	Rationalize the Denominator	(9x)/( square root of 10x+9)	$\frac{9 x}{\sqrt{10 x + 9}}$
121930	Rationalize the Denominator	(9x)/( square root of -2x-11)	$\frac{9 x}{\sqrt{- 2 x - 11}}$
121931	Rationalize the Denominator	(4 square root of 3+ square root of 6)/(8 square root of 3- square root of 6)	$\frac{4 \sqrt{3} + \sqrt{6}}{8 \sqrt{3} - \sqrt{6}}$
121932	Rationalize the Denominator	9/( fourth root of 2)	$\frac{9}{\sqrt[4]{2}}$
121933	Rationalize the Denominator	6/(8- square root of 5)	$\frac{6}{8 - \sqrt{5}}$
121934	Rationalize the Denominator	8/(2- square root of 5)	$\frac{8}{2 - \sqrt{5}}$
121935	Rationalize the Denominator	8/(6- square root of 5)	$\frac{8}{6 - \sqrt{5}}$
121936	Rationalize the Denominator	(2 square root of 2)/( square root of 5)	$\frac{2 \sqrt{2}}{\sqrt{5}}$
121937	Rationalize the Denominator	1/( cube root of ab)	$\frac{1}{\sqrt[3]{a b}}$
121938	Find the Behavior (Leading Coefficient Test)	q(x)=-4x^5+2x^4-3x^2+12x	$q (x) = - 4 x^{5} + 2 x^{4} - 3 x^{2} + 12 x$
121939	Find the Inverse	(8-2x)^2	${(8 - 2 x)}^{2}$
121940	Find the Inverse	1/3x-3	$\frac{1}{3} x - 3$
121941	Find the Inverse	cube root of 3x-5	$\sqrt[3]{3 x - 5}$
121942	Find the Inverse	4-3x	$4 - 3 x$
121943	Find the Inverse	square root of 4+7x	$\sqrt{4 + 7 x}$
121944	Find the Inverse	f^-1(11)	$f^{- 1} (11)$
121945	Describe the Transformation	h(x)=-x^3-2	$h (x) = - x^{3} - 2$
121946	Describe the Transformation	y=4^x-5	$y = 4^{x} - 5$
121947	Describe the Transformation	y=-1/5*9^x	$y = - \frac{1}{5} \cdot 9^{x}$
121948	Describe the Transformation	h(x)=\|x-1\|+2	$h (x) = \| x - 1 \| + 2$
121949	Describe the Transformation	h(x)=-x^3-2	$h (x) = - x^{3} - 2$
121950	Find Three Ordered Pair Solutions	y=4-6x	$y = 4 - 6 x$
121951	Find Three Ordered Pair Solutions	-x+6y=8	$- x + 6 y = 8$
121952	Find Three Ordered Pair Solutions	g(x)=x^2+5x+4	$g (x) = x^{2} + 5 x + 4$
121953	Find Three Ordered Pair Solutions	y=-1/7(x-3)(x-8)	$y = - \frac{1}{7} (x - 3) (x - 8)$
121954	Solve the Matrix Equation	[[1,2],[3,7]][[x],[y]]=[[10],[21]]	$[\begin{array}{c} 1 & 2 \\ 3 & 7 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 10 \\ 21 \end{array}]$
121955	Solve the Matrix Equation	[[-3,-7],[1,9]]+x=[[-3,4],[6,5]]	$[\begin{array}{c} - 3 & - 7 \\ 1 & 9 \end{array}] + x = [\begin{array}{c} - 3 & 4 \\ 6 & 5 \end{array}]$
121956	Find the Axis of Symmetry	f(x)=(x+7)^2-1	$f (x) = {(x + 7)}^{2} - 1$
121957	Find the Axis of Symmetry	f(x)=(x+0.4)^2+0.9	$f (x) = {(x + 0.4)}^{2} + 0.9$
121958	Find the Axis of Symmetry	f(x)=(x+4)^2+7	$f (x) = {(x + 4)}^{2} + 7$
121959	Find the LCM	7m-21 , 14m-42	$7 m - 21$ , $14 m - 42$
121960	Find the LCM	24 , 36 , 60	$24$ , $36$ , $60$
121961	Solve the Matrix Equation	X-5[[2,-8],[-4,2]]=[[4,-6],[2,-8]]	$X - 5 [\begin{array}{c} 2 & - 8 \\ - 4 & 2 \end{array}] = [\begin{array}{c} 4 & - 6 \\ 2 & - 8 \end{array}]$
121962	Verify the Identity	(cot(t))/(sec(t))+sin(t)=csc(t)	$\frac{\cot (t)}{\sec (t)} + \sin (t) = \csc (t)$
121963	Solve the System of @WORD	y>-x-2y<-5x+2	$y > - x - 2 y < - 5 x + 2$
121964	Find the Inverse	[[8,4],[9,-8]]	$[\begin{array}{c} 8 & 4 \\ 9 & - 8 \end{array}]$
121965	Find the LCD	(4x)/(3x^2-14x+16) , 9/(3x^2-11x+8)	$\frac{4 x}{3 x^{2} - 14 x + 16}$ , $\frac{9}{3 x^{2} - 11 x + 8}$
121966	Find the LCD	25/(12m) , 5/(12m-20)	$\frac{25}{12 m}$ , $\frac{5}{12 m - 20}$
121967	Find the Constant of Variation	-8y=2x	$- 8 y = 2 x$
121968	Convert to Rectangular Coordinates	(-1,pi)	$(- 1, π)$
121969	Find the LCD	-2/(3y) , 6/(2y)	$\frac{- 2}{3 y}$ , $\frac{6}{2 y}$
121970	Find the LCD	8/(x^2-4x-45) , -2/(x^2-9x)	$\frac{8}{x^{2} - 4 x - 45}$ , $\frac{- 2}{x^{2} - 9 x}$
121971	Identify the Sequence	-7.4 , -21.2 , -35 , -48.8 , -62.6	$- 7.4$ , $- 21.2$ , $- 35$ , $- 48.8$ , $- 62.6$
121972	Identify the Sequence	-1 , 1 , 4 , 8	$- 1$ , $1$ , $4$ , $8$
121973	Identify the Sequence	16 , -4 , 1 , -1/4	$16$ , $- 4$ , $1$ , $- \frac{1}{4}$
121974	Identify the Sequence	4 , 40 , 400 , 4000	$4$ , $40$ , $400$ , $4000$
121975	Identify the Sequence	2 , 20 , 200 , 2000	$2$ , $20$ , $200$ , $2000$
121976	Identify the Sequence	16 , 8 , 4	$16$ , $8$ , $4$
121977	Identify the Sequence	2 , 0 , -4 , -10 , -18	$2$ , $0$ , $- 4$ , $- 10$ , $- 18$
121978	Find the Slope	-2x-7y=-12	$- 2 x - 7 y = - 12$
121979	Find the Slope	(-4,-6) , (2,-3)	$(- 4, - 6)$ , $(2, - 3)$
121980	Find the Slope	y=-5/2x-7	$y = - \frac{5}{2} x - 7$
121981	Find the Slope	(-3,2) , (3,2)	$(- 3, 2) (3, 2)$
121982	Find the Slope	(x+y)/5-12=-8	$\frac{x + y}{5} - 12 = - 8$
121983	Find the Slope	8x-7y=15	$8 x - 7 y = 15$
121984	Find the Slope	6x-8y=6	$6 x - 8 y = 6$
121985	Find the Slope	6x=4y-7	$6 x = 4 y - 7$
121986	Find the Slope	(y+3)=2(x-4)	$(y + 3) = 2 (x - 4)$
121987	Find the Slope	-x-7y=-7	$- x - 7 y = - 7$
121988	Find the Slope	-2x-8y=14	$- 2 x - 8 y = 14$
121989	Find the Slope	(2,1) , (-2,5)	$(2, 1) (- 2, 5)$
121990	Find the Slope	(y-1)=-(x-4)	$(y - 1) = - (x - 4)$
121991	Find the Slope	5y+3x=6	$5 y + 3 x = 6$
121992	Find the Slope	y=-10x+7	$y = - 10 x + 7$
121993	Find the Slope	8x-6y=6	$8 x - 6 y = 6$
121994	Find the Slope	10x-4y=2	$10 x - 4 y = 2$
121995	Find the Slope	5x-6y=6	$5 x - 6 y = 6$
121996	Find the Slope	5x-7y=0	$5 x - 7 y = 0$
121997	Find the Slope	(-6,-3) , (6,-7)	$(- 6, - 3) (6, - 7)$
121998	Find the Slope	2y=-3(x-2)	$2 y = - 3 (x - 2)$
121999	Find the Slope	(-3,5) , (2,0)	$(- 3, 5) (2, 0)$
122000	Find the Slope	(-5,-4) , (-3,0)	$(- 5, - 4) (- 3, 0)$