Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120901	Find dy/dx	x^2y-e^y-8=0	$x^{2} y - e^{y} - 8 = 0$
120902	Find dx/dy	(x-y-1)^3=x	${(x - y - 1)}^{3} = x$
120903	Find dx/dy	(x^2)/(x+y)=y^2+6	$\frac{x^{2}}{x + y} = y^{2} + 6$
120904	Find dx/dy	x=cot(y)	$x = \cot (y)$
120905	Find the Value Using the Unit Circle	cos(-45)	$\cos (- 45)$
120906	Find Three Ordered Pair Solutions	g(x)=x^2+9x+18	$g (x) = x^{2} + 9 x + 18$
120907	Find Three Ordered Pair Solutions	6x-9y=0	$6 x - 9 y = 0$
120908	Find Three Ordered Pair Solutions	-x+2y=9	$- x + 2 y = 9$
120909	Find Where Increasing/Decreasing	f(x)=2x^2-4x+4	$f (x) = 2 x^{2} - 4 x + 4$
120910	Find Where Increasing/Decreasing	f(x)=2x^2+12x-6	$f (x) = 2 x^{2} + 12 x - 6$
120911	Verify the Identity	tan(x)(cot(x)-cos(x))=1	$\tan (x (\cot (x) - \cos (x))) = 1$
120912	Verify the Identity	tan(x)(cot(x)-cos(x))=0	$\tan (x (\cot (x) - \cos (x))) = 0$
120913	Write with Rational (Fractional) Exponents	sixth root of (g^6h)/(h^7)	$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$
120914	Write with Rational (Fractional) Exponents	seventh root of x^8	$\sqrt[7]{x^{8}}$
120915	Write with Rational (Fractional) Exponents	fifth root of 10^3	$\sqrt[5]{10^{3}}$
120916	Write with Rational (Fractional) Exponents	n root of x^(2n)	$\sqrt[n]{x^{2 n}}$
120917	Write with Rational (Fractional) Exponents	eighth root of u^7	$\sqrt[8]{u^{7}}$
120918	Write with Rational (Fractional) Exponents	( cube root of 10)^7	${(\sqrt[3]{10})}^{7}$
120919	Write with Rational (Fractional) Exponents	( square root of 5x)^3	${(\sqrt{5 x})}^{3}$
120920	Write with Rational (Fractional) Exponents	( eighth root of 15)^3	${(\sqrt[8]{15})}^{3}$
120921	Find the LCD	(5x)/(4x-8) , 3/(5x-10)	$\frac{5 x}{4 x - 8}$ , $\frac{3}{5 x - 10}$
120922	Find the Constant of Variation	2y=14x	$2 y = 14 x$
120923	Find the Equation Using Point-Slope Formula	(1,-1) , (4,0)	$(1, - 1)$ , $(4, 0)$
120924	Find the Expanded Form	(x-5)^2+(y-2)^2=9	${(x - 5)}^{2} + {(y - 2)}^{2} = 9$
120925	Find the Distance Between Two Points	(2 square root of 2, square root of 7) , (- square root of 2,3 square root of 7)	$(2 \sqrt{2}, \sqrt{7}) (- \sqrt{2}, 3 \sqrt{7})$
120926	Find the Distance Between Two Points	(-2,-5) , (3,5)	$(- 2, - 5)$ , $(3, 5)$
120927	Find the Axis of Symmetry	f(x)=-1/4x^2+7	$f (x) = - \frac{1}{4} x^{2} + 7$
120928	Solve the Matrix Equation	[[1,3],[1,4]]x=[[6],[8]]	$[\begin{array}{c} 1 & 3 \\ 1 & 4 \end{array}] x = [\begin{array}{c} 6 \\ 8 \end{array}]$
120929	Find the Function Rule	table[[x,q(x)],[1,2],[2,3],[3,4],[4,5],[5,6],[6,7],[7,8]]	$\begin{array}{c} x & q (x) \\ 1 & 2 \\ 2 & 3 \\ 3 & 4 \\ 4 & 5 \\ 5 & 6 \\ 6 & 7 \\ 7 & 8 \end{array}$
120930	Find the Function Rule	table[[x,y],[1,2],[2,4],[3,6]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 4 \\ 3 & 6 \end{array}$
120931	Find the LCM	5x , 5x(x+2)	$5 x$ , $5 x (x + 2)$
120932	Find the LCM	x^2-9x+20 , x^2+x-30	$x^{2} - 9 x + 20$ , $x^{2} + x - 30$
120933	Find the LCM	14ab^2 , 42bc^3 , 18a^2c	$14 a b^{2}$ , $42 b c^{3}$ , $18 a^{2} c$
120934	Find the LCM	8 , 11 , 22	$8$ , $11$ , $22$
120935	Find the LCM	65x^4y , 10x^2y^2 , 26y^4	$65 x^{4} y$ , $10 x^{2} y^{2}$ , $26 y^{4}$
120936	Find the LCM	25 , 5 , 20	$25$ , $5$ , $20$
120937	Find the LCM	9(x+2)(2x-1)*3(x+2)	$9 (x + 2) (2 x - 1) \cdot 3 (x + 2)$
120938	Find the Possible Factors	392	$392$
120939	Divide Using Synthetic Division	(3x^4+6x^3+2x^2+9x+10)/(x+2)	$\frac{(3 x^{4} + 6 x^{3} + 2 x^{2} + 9 x + 10)}{(x + 2)}$
120940	Divide Using Synthetic Division	(x^4-8x^3+26x^2-19x-42)/(x-3)	$\frac{(x^{4} - 8 x^{3} + 26 x^{2} - 19 x - 42)}{(x - 3)}$
120941	Divide Using Synthetic Division	(5x^2+x-6)÷(x-1)	$(5 x^{2} + x - 6) \div (x - 1)$
120942	Divide Using Synthetic Division	(7x^2+x-66)÷(x-3)	$(7 x^{2} + x - 66) \div (x - 3)$
120943	Divide Using Synthetic Division	(x^2+5x+6)÷(x+1)	$(x^{2} + 5 x + 6) \div (x + 1)$
120944	Divide Using Synthetic Division	(8x^2+x-34)÷(x-2)	$(8 x^{2} + x - 34) \div (x - 2)$
120945	Divide Using Synthetic Division	(x^3+10x^2+19x-30)÷(x+6)	$(x^{3} + 10 x^{2} + 19 x - 30) \div (x + 6)$
120946	Divide Using Synthetic Division	(x^3+18x^2+101x+180)/(x+4)	$\frac{(x^{3} + 18 x^{2} + 101 x + 180)}{x + 4}$
120947	Divide Using Synthetic Division	(-x^3+3x^2+6x-8)/(x-4)	$\frac{- x^{3} + 3 x^{2} + 6 x - 8}{x - 4}$
120948	Divide Using Synthetic Division	(x^3-13x^2+40x+18)÷(x-7)	$(x^{3} - 13 x^{2} + 40 x + 18) \div (x - 7)$
120949	Find the Slope of a Perpendicular Line	4x+9y=-10	$4 x + 9 y = - 10$
120950	Find the Roots/Zeros Using the Rational Roots Test	f(x)=5x^3-18x^2-11x+12	$f (x) = 5 x^{3} - 18 x^{2} - 11 x + 12$
120951	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^4-19x^3+71x^2-109x+39	$f (x) = 2 x^{4} - 19 x^{3} + 71 x^{2} - 109 x + 39$
120952	Find the Discriminant	4u^2+4u+1=0	$4 u^{2} + 4 u + 1 = 0$
120953	Find the Discriminant	-4r^2-4r=6	$- 4 r^{2} - 4 r = 6$
120954	Find the Discriminant	4x^2-7x+6=0	$4 x^{2} - 7 x + 6 = 0$
120955	Find the Discriminant	2x^2=4x+3	$2 x^{2} = 4 x + 3$
120956	Find the Discriminant	2x^2+x+4=0	$2 x^{2} + x + 4 = 0$
120957	Find the Discriminant	8s^2+8s+2=0	$8 s^{2} + 8 s + 2 = 0$
120958	Find the Discriminant	8q^2+8q+2=0	$8 q^{2} + 8 q + 2 = 0$
120959	Find the Discriminant	7q^2-q=-9	$7 q^{2} - q = - 9$
120960	Find the Second Derivative	sec(x)	$\sec (x)$
120961	Find the Third Derivative	sec(x)	$\sec (x)$
120962	Solve Using the Square Root Property	2x^2-432=0	$2 x^{2} - 432 = 0$
120963	Solve Using the Square Root Property	-6(x+7)^2=-294	$- 6 {(x + 7)}^{2} = - 294$
120964	Solve Using the Square Root Property	5(x+2)^2=60	$5 {(x + 2)}^{2} = 60$
120965	Solve Using the Square Root Property	(4x+21)^2=45	${(4 x + 21)}^{2} = 45$
120966	Solve Using the Square Root Property	2x^2+50=-166	$2 x^{2} + 50 = - 166$
120967	Solve Using the Square Root Property	y^2-4y+4=-64	$y^{2} - 4 y + 4 = - 64$
120968	Solve Using the Square Root Property	2(x+8)^2=24	$2 {(x + 8)}^{2} = 24$
120969	Solve Using the Square Root Property	(5y+2)^2+25=0	${(5 y + 2)}^{2} + 25 = 0$
120970	Solve Using the Square Root Property	(8y+22)^2=75	${(8 y + 22)}^{2} = 75$
120971	Solve Using the Square Root Property	(4x+12)^2=27	${(4 x + 12)}^{2} = 27$
120972	Solve Using the Square Root Property	(x+7)^2-49=0	${(x + 7)}^{2} - 49 = 0$
120973	Solve Using the Square Root Property	4x^2-40=0	$4 x^{2} - 40 = 0$
120974	Solve Using the Square Root Property	2(x+9)^2=24	$2 {(x + 9)}^{2} = 24$
120975	Find the Slope	8x+y=2	$8 x + y = 2$
120976	Find the Slope	5x-5y=50	$5 x - 5 y = 50$
120977	Find the Slope	y=-5x-6	$y = - 5 x - 6$
120978	Find the Slope	-2x-8y=21	$- 2 x - 8 y = 21$
120979	Find the Slope	8x-6y=18	$8 x - 6 y = 18$
120980	Find the Slope	7x-7y=3	$7 x - 7 y = 3$
120981	Find the Slope	y-3=4(x+8)	$y - 3 = 4 (x + 8)$
120982	Find the Slope	4y=-6x	$4 y = - 6 x$
120983	Find the Slope	-7x-3y=-3	$- 7 x - 3 y = - 3$
120984	Find the Slope	4x+5y-10=0	$4 x + 5 y - 10 = 0$
120985	Find the Slope	(-19,-6) , (15,16)	$(- 19, - 6)$ , $(15, 16)$
120986	Find the Slope	8x-7y=17	$8 x - 7 y = 17$
120987	Find the Slope	(x+y)/3+3=17	$\frac{x + y}{3} + 3 = 17$
120988	Find the Slope	6y+12=0	$6 y + 12 = 0$
120989	Find the Slope	5y=3x+6	$5 y = 3 x + 6$
120990	Find the Slope	(3,1) , (0,-5)	$(3, 1) (0, - 5)$
120991	Find the Slope	x-6y-5=0	$x - 6 y - 5 = 0$
120992	Find the Slope	(-2,-8) , (2,-2)	$(- 2, - 8) (2, - 2)$
120993	Find the Slope	6x-y=19	$6 x - y = 19$
120994	Find the Slope	3y=-5x+5	$3 y = - 5 x + 5$
120995	Find the Slope	-x=-12	$- x = - 12$
120996	Find the Slope	6x-2y=-2	$6 x - 2 y = - 2$
120997	Identify the Sequence	-2 , -10 , -50 , -250	$- 2$ , $- 10$ , $- 50$ , $- 250$
120998	Identify the Sequence	36 , 49 , 64 , 81	$36$ , $49$ , $64$ , $81$
120999	Identify the Sequence	1/2 , -4 , 32 , -256	$\frac{1}{2}$ , $- 4$ , $32$ , $- 256$
121000	Identify the Sequence	5 , 18 , 31 , 44 , 57	$5$ , $18$ , $31$ , $44$ , $57$