Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40001	Find the Domain and Range	y=(2x+1)/(3x-6)	$y = \frac{2 x + 1}{3 x - 6}$
40002	Solve for x	(2x^2)^3=512	${(2 x^{2})}^{3} = 512$
40003	Solve the Inequality for x	9- square root of x+4<=6	$9 - \sqrt{x + 4} \leq 6$
40004	Simplify	fourth root of 1/3* fourth root of 48	$\sqrt[4]{\frac{1}{3}} \cdot \sqrt[4]{48}$
40005	Divide	((3x^2+13x+4)/(x^2-4))÷((4x+16)/(x+2))	$\frac{3 x^{2} + 13 x + 4}{x^{2} - 4} \div \frac{4 x + 16}{x + 2}$
40006	Find All Complex Solutions	3x^4-x^2+6=0	$3 x^{4} - x^{2} + 6 = 0$
40007	Find the Third Derivative	y=2x natural log of 5x^2	$y = 2 x \ln (5 x^{2})$
40008	Determine the Possible Number of Real Roots	-5x^5+4x^3-3x+1=0	$- 5 x^{5} + 4 x^{3} - 3 x + 1 = 0$
40009	Evaluate	4(1/2)^2-4(1/2)+1	$4 {(\frac{1}{2})}^{2} - 4 (\frac{1}{2}) + 1$
40010	Find the Inverse	( square root of x)/5	$\frac{\sqrt{x}}{5}$
40011	Solve for c	3c(c+2)=0	$3 c (c + 2) = 0$
40012	Solve the Inequality for y	-3<=2y+1<=9	$- 3 \leq 2 y + 1 \leq 9$
40013	Solve the Inequality for x	x+7<0	$x + 7 < 0$
40014	Evaluate	(-5)^2*(2/5)^2	${(- 5)}^{2} \cdot {(\frac{2}{5})}^{2}$
40015	Find the Slope	(-1,8) and (-1,-4)	$(- 1, 8)$ and $(- 1, - 4)$
40016	Solve by Substitution	x=7-y x=-2y+12	$x = 7 - y$ $x = - 2 y + 12$
40017	Solve the Inequality for x	6x^2-9<=-11x-7	$6 x^{2} - 9 \leq - 11 x - 7$
40018	Find the Cosine of the Angle	-pi/6	$- \frac{π}{6}$
40019	Convert from Radians to Degrees	arctan(-1/( square root of 3))	$\arctan (- \frac{1}{\sqrt{3}})$
40020	Solve the System of Equations	4x^2-y^2=4 x^2+y^2=1	$4 x^{2} - y^{2} = 4$ $x^{2} + y^{2} = 1$
40021	Evaluate	square root of (1-cos((7pi)/6))/2	$\sqrt{\frac{1 - \cos (\frac{7 π}{6})}{2}}$
40022	Evaluate	square root of (2x^5)/18	$\sqrt{\frac{2 x^{5}}{18}}$
40023	Find the Derivative - d/dh	2pirh	$2 π r h$
40024	Evaluate	(-7-i)/(-8+i)	$\frac{- 7 - i}{- 8 + i}$
40025	Subtract	(4x)/7-(8x)/3	$\frac{4 x}{7} - \frac{8 x}{3}$
40026	Evaluate the Integral	integral from pi/4 to pi/2 of sin(x)^3cos(x) square root of 2sin(x)^2-1 with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} \sin^{3} (x) \cos (x) \sqrt{2 \sin^{2} (x) - 1} d x$
40027	Find dz/dx	z=3x^2-6y^2+xy+5y-9	$z = 3 x^{2} - 6 y^{2} + x y + 5 y - 9$
40028	Find dy/dx	Derive y=1/( cube root of x)-2/( square root of x^5)+ fifth root of x^2	Derive $y = \frac{1}{\sqrt[3]{x}} - \frac{2}{\sqrt{x^{5}}} + \sqrt[5]{x^{2}}$
40029	Factor	y=x^2-6x	$y = x^{2} - 6 x$
40030	Simplify	square root of 5*2 square root of 32-21 square root of 10	$\sqrt{5} \cdot 2 \sqrt{32} - 21 \sqrt{10}$
40031	Simplify	y^3-2y^3+3y^3-2x^3+5x+3x-7x^3	$y^{3} - 2 y^{3} + 3 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$
40032	Simplify	( fourth root of 5-4)/( fourth root of 20)	$\frac{\sqrt[4]{5} - 4}{\sqrt[4]{20}}$
40033	Simplify	(1-a)/(a^2-a+1)+(a^2)/(a^3+1)	$\frac{(1 - a)}{a^{2} - a + 1} + \frac{a^{2}}{a^{3} + 1}$
40034	Simplify	1 square root of 81	$1 \sqrt{81}$
40035	Find the Domain and Range	-2cos(5/4x)	$- 2 \cos (\frac{5}{4} x)$
40036	Find the Possible Factors	factors of 22	factors of $22$
40037	Graph	x+y=2 y=-1/3x-2	$x + y = 2$ $y = - \frac{1}{3} x - 2$
40038	Simplify	(8x-20)/(x^2+2x-35)*(x^2-7x+10)/(4x^2-16)	$\frac{8 x - 20}{x^{2} + 2 x - 35} \cdot \frac{x^{2} - 7 x + 10}{4 x^{2} - 16}$
40039	Simplify	(10x^2+15x+20)÷(5x+5)	$(10 x^{2} + 15 x + 20) \div (5 x + 5)$
40040	Solve for u	u^3=-125	$u^{3} = - 125$
40041	Evaluate Using the Given Value	Evaluate 4-2f when f=1	Evaluate $4 - 2 f$ when $f = 1$
40042	Graph Using a Table of Values	y=e^(-2x)	$y = e^{- 2 x}$
40043	Split Using Partial Fraction Decomposition	(6x^2+12x-177)/(x^2+x-30)	$\frac{6 x^{2} + 12 x - 177}{x^{2} + x - 30}$
40044	Solve the Inequality for x	x/-1>2/5	$\frac{x}{- 1} > \frac{2}{5}$
40045	Find the x and y Intercepts	f(x)=(x+2)^2+2x	$f (x) = {(x + 2)}^{2} + 2 x$
40046	Solve by Substitution	2y=-2x+16 y-8=-x	$2 y = - 2 x + 16$ $y - 8 = - x$
40047	Evaluate	((2c^4)/5)^-3	${(\frac{2 c^{4}}{5})}^{- 3}$
40048	Find the Derivative - d/dx	(f(x))/(e^x)	$\frac{f (x)}{e^{x}}$
40049	Graph	3(x-2)>y+8	$3 (x - 2) > y + 8$
40050	Solve the System of Equations	-x+6y=2 and -3x+y=-11	$- x + 6 y = 2$ and $- 3 x + y = - 11$
40051	Evaluate	tan(theta)=4/3	$\tan (θ) = \frac{4}{3}$
40052	Determine if Parallel	8x-2y=4 and x+4y=-12	$8 x - 2 y = 4$ and $x + 4 y = - 12$
40053	Find dy/dx	y^2-4xy+arctan(x)=4	$y^{2} - 4 x y + \arctan (x) = 4$
40054	Evaluate	20% of 300	$20 %$ of $300$
40055	Simplify	(2x1/3*y3/5)^2	${(2 x \frac{1}{3} \cdot y \frac{3}{5})}^{2}$
40056	Simplify	x^5x^-4x^10x^-3x^6	$x^{5} \cdot x^{- 4} \cdot x^{10} \cdot x^{- 3} \cdot x^{6}$
40057	Simplify	(x^2+x)/(x-3)*(x+3)/(x+1)	$\frac{x^{2} + x}{x - 3} \cdot \frac{x + 3}{x + 1}$
40058	Simplify	3^2+1*2	$3^{2} + 1 \times 2$
40059	Simplify	(2/3r^2s^7)^2*(1/6r^3s)	${(\frac{2}{3} r^{2} s^{7})}^{2} \cdot (\frac{1}{6} r^{3} s)$
40060	Find the Antiderivative	1^x	$1^{x}$
40061	Simplify	(8x^3+22x^2-163x-44)(x+6)^-1	$(8 x^{3} + 22 x^{2} - 163 x - 44) {(x + 6)}^{- 1}$
40062	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-10x^3-4x^2+5x+5 is divided by x-1	Use synthetic division to find the result when $4 x^{4} - 10 x^{3} - 4 x^{2} + 5 x + 5$ is divided by $x - 1$
40063	Solve for r	SA=4pir^2	$S A = 4 π r^{2}$
40064	Solve the System of Inequalities	x>3 and x<5	$x > 3$ and $x < 5$
40065	Solve for x in Degrees	4sin(x)cos(x)+cos(x)=0	$4 \sin (x) \cos (x) + \cos (x) = 0$
40066	Simplify	fourth root of 17+ fourth root of 17	$\sqrt[4]{17} + \sqrt[4]{17}$
40067	Evaluate the Limit	limit as x approaches pi/2 of 7tan(x)	$lim_{x \to \frac{π}{2}} 7 \tan (x)$
40068	Simplify	(4 fourth root of 80x^5)÷( fourth root of 5x)	$4 \sqrt[4]{80 x^{5}} \div \sqrt[4]{5 x}$
40069	Find the Slope	(1,0) and (6,-3)	$(1, 0)$ and $(6, - 3)$
40070	Solve for k	k^2-13k=0	$k^{2} - 13 k = 0$
40071	Find the Exact Value	(1/2)^-2+3^0	${(\frac{1}{2})}^{- 2} + 3^{0}$
40072	Find Trig Functions Using Identities	tan(theta)=-3/5 , sec(theta)>0	$\tan (θ) = - \frac{3}{5}$ , $\sec (θ) > 0$
40073	Simplify	( square root of 16x^3y)/(2x^2y)	$\frac{\sqrt{16 x^{3} y}}{2 x^{2} y}$
40074	Simplify	(27-x^3)/((3-x)^2)	$\frac{(27 - x^{3})}{{(3 - x)}^{2}}$
40075	Solve for n	1/n=1/(5n)-(n-1)/(5n)	$\frac{1}{n} = \frac{1}{5 n} - \frac{n - 1}{5 n}$
40076	Factor	3ax-2-x+6a	$3 a x - 2 - x + 6 a$
40077	Graph	y-1<=4x	$y - 1 \leq 4 x$
40078	Simplify	(1-4)^-2	${(1 - 4)}^{- 2}$
40079	Find the Vertex	x+8=1/5y^2	$x + 8 = \frac{1}{5} y^{2}$
40080	Find the Midpoint	P_1=(3,5) , P_2=(1,9)	$P_{1} = (3, 5)$ , $P_{2} = (1, 9)$
40081	Graph	x=\|x\|	$x = \| x \|$
40082	Solve for x in Degrees	2sin(x)- square root of 3=0	$2 \sin (x) - \sqrt{3} = 0$
40083	Solve for x	square root of x+2=1- square root of 3x+7	$\sqrt{x + 2} = 1 - \sqrt{3 x + 7}$
40084	Simplify	-3/( square root of 7-9)	$\frac{- 3}{\sqrt{7} - 9}$
40085	Find the Product	(x+y)(2x-y)	$(x + y) (2 x - y)$
40086	Graph	y=1/4x-3 2x-8y=24	$y = \frac{1}{4} x - 3$ $2 x - 8 y = 24$
40087	Convert to Radical Form	(36x)^(1/2)(49x)^(1/2)	${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$
40088	Write in Standard Form	(9n^3-4n^2+2n-10)+(-2n^2+n+7)	$(9 n^{3} - 4 n^{2} + 2 n - 10) + (- 2 n^{2} + n + 7)$
40089	Identify the Zeros and Their Multiplicities	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
40090	Simplify	tan(theta)sec(theta)sin(theta)	$\tan (θ) \sec (θ) \sin (θ)$
40091	Find the Antiderivative	S(t)=t^2-t/2+ square root of t	$S (t) = t^{2} - \frac{t}{2} + \sqrt{t}$
40092	Simplify	3(8x+4)-7(6x^2+2x-1)	$3 (8 x + 4) - 7 (6 x^{2} + 2 x - 1)$
40093	Find dy/dx	(x^3+3y)^6=x	${(x^{3} + 3 y)}^{6} = x$
40094	Solve the Inequality for x	4x+y<=15	$4 x + y \leq 15$
40095	Solve for x	\|(2x-1)/(x+3)\|=(1-2x)/(-x-3)	$\| \frac{2 x - 1}{x + 3} \| = \frac{1 - 2 x}{- x - 3}$
40096	Solve the System of Equations	4x-5y=3 x=3-1/2y	$4 x - 5 y = 3$ $x = 3 - \frac{1}{2} y$
40097	Solve for y	y^(1/4)=-5	$y^{\frac{1}{4}} = - 5$
40098	Evaluate the Integral	integral of 3x^2(x+6)^2 with respect to x	$\int 3 x^{2} {(x + 6)}^{2} d x$
40099	Simplify	(36x)^(1/2)(49x)^(1/2)	${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$
40100	Solve the Inequality for k	-6<=-2k+8<=2	$- 6 \leq - 2 k + 8 \leq 2$