Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44901	Simplify	((x^3-y^3)(x^2+2xy+y^2))/((x^2-y^2)(x^2+xy+y^2))-x-y	$\frac{(x^{3} - y^{3}) (x^{2} + 2 x y + y^{2})}{(x^{2} - y^{2}) (x^{2} + x y + y^{2})} - x - y$
44902	Simplify the Radical Expression	2 square root of 7/3	$2 \sqrt{\frac{7}{3}}$
44903	Graph	y<-6/5x-4 y>4/3x-2	$y < - \frac{6}{5} x - 4$ $y > \frac{4}{3} x - 2$
44904	Graph	x-y=4 x-3y=0	$x - y = 4$ $x - 3 y = 0$
44905	Simplify the Radical Expression	square root of 3*7 square root of 6	$\sqrt{3} \cdot 7 \sqrt{6}$
44906	Solve for x	(2+x)k=z	$(2 + x) k = z$
44907	Find the Degree, Leading Term, and Leading Coefficient	g(x)=2x^5+6x^4	$g (x) = 2 x^{5} + 6 x^{4}$
44908	Evaluate	(0)^4-4(0)^3+3	${(0)}^{4} - 4 {(0)}^{3} + 3$
44909	Solve the Function Operation	f(x)=(x^5-6)/9 ; find f^-1(x)	$f (x) = \frac{x^{5} - 6}{9}$ ; find $f^{- 1} (x)$
44910	Find the Directrix	2y^2+x+20y+51=0	$2 y^{2} + x + 20 y + 51 = 0$
44911	Find the x and y Intercepts	2y^2+x+20y+51=0	$2 y^{2} + x + 20 y + 51 = 0$
44912	Solve for x	3=81^x	$3 = 81^{x}$
44913	Simplify	2(3x^2-x+4)-(x^2-x+6)	$2 (3 x^{2} - x + 4) - (x^{2} - x + 6)$
44914	Evaluate	4+((6^2)÷(1/4))*3	$4 + (6^{2} \div \frac{1}{4}) \times 3$
44915	Simplify	(2-2sin(theta)^2)/(cos(theta))	$\frac{2 - 2 \sin^{2} (θ)}{\cos (θ)}$
44916	Simplify	((6k^-2m^3)/(k^2))^-2	${(\frac{6 k^{- 2} m^{3}}{k^{2}})}^{- 2}$
44917	Find the Asymptotes	h(x)=(2x^3-4x^2)/(3x^5-8x+2)	$h (x) = \frac{2 x^{3} - 4 x^{2}}{3 x^{5} - 8 x + 2}$
44918	Simplify	(2+ square root of 6x)^2	${(2 + \sqrt{6 x})}^{2}$
44919	Solve for a	a=( cube root of -17.1)^3	$a = {(\sqrt[3]{- 17.1})}^{3}$
44920	Find the Degree	arccos(-1)	$\arccos (- 1)$
44921	Simplify	(5x+5y)/(15x)	$\frac{5 x + 5 y}{15 x}$
44922	Divide	x^3+10x^2+19x-30 , x+6	$x^{3} + 10 x^{2} + 19 x - 30$ , $x + 6$
44923	Expand Using Sum/Difference Formulas	sin((3pi)/2+theta)	$\sin (\frac{3 π}{2} + θ)$
44924	Find the Concavity	-1/6x^4+19x^2	$- \frac{1}{6} x^{4} + 19 x^{2}$
44925	Add	Add: (5y)/x+(3x)/y	Add: $\frac{5 y}{x} + \frac{3 x}{y}$
44926	Find the Axis of Symmetry	x-y^2=-1	$x - y^{2} = - 1$
44927	Convert to Interval Notation	x<-3 and x<3	$x < - 3$ and $x < 3$
44928	Simplify	square root of 7x^2* square root of 12x^5	$\sqrt{7 x^{2}} \cdot \sqrt{12 x^{5}}$
44929	Simplify	(x-5)/(x+4)-3/(x+3)	$\frac{x - 5}{x + 4} - \frac{3}{x + 3}$
44930	Simplify	2/(2x+5)-3/(x+1)	$\frac{2}{2 x + 5} - \frac{3}{x + 1}$
44931	Find the Domain	g(x)=(2x+\|x\|)/x	$g (x) = \frac{2 x + \| x \|}{x}$
44932	Find the Exact Value	(1/2)÷(-( square root of 3)/2)	$\frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
44933	Find the Degree, Leading Term, and Leading Coefficient	h(x)=9x^6-5x^7+3x^2	$h (x) = 9 x^{6} - 5 x^{7} + 3 x^{2}$
44934	Factor	3a^3-3ab^2+a^2b-b^3	$3 a^{3} - 3 a b^{2} + a^{2} b - b^{3}$
44935	Solve for x in Degrees	2cos(x)tan(x)=9tan(x)	$2 \cos (x) \tan (x) = 9 \tan (x)$
44936	Solve for y	-30+4y>7x+9y	$- 30 + 4 y > 7 x + 9 y$
44937	Write in Standard Form	3+ square root of 5	$3 + \sqrt{5}$
44938	Add	(5x+2)/x+(2x)/(x+6)	$\frac{5 x + 2}{x} + \frac{2 x}{x + 6}$
44939	Evaluate	15% of 45	$15 %$ of $45$
44940	Evaluate	4.1/(tan(43))	$\frac{4.1}{\tan (43)}$
44941	Solve by Factoring	2x^3-64=x^3+61	$2 x^{3} - 64 = x^{3} + 61$
44942	Multiply	(2x^2)^-4	${(2 x^{2})}^{- 4}$
44943	Find the Next Term	-16/5 , 8 , -20	$- \frac{16}{5}$ , $8$ , $- 20$
44944	Find the Mean	1/4 , 1/2 , 1/4 , 3/4 , 1 , 1 1/2 , 1/2 , 1 3/4 , 1/2 , 1/2	$\frac{1}{4}$ , $\frac{1}{2}$ , $\frac{1}{4}$ , $\frac{3}{4}$ , $1$ , $1 \frac{1}{2}$ , $\frac{1}{2}$ , $1 \frac{3}{4}$ , $\frac{1}{2}$ , $\frac{1}{2}$
44945	Find the Axis of Symmetry	3x^2+y^2-6x-8y-5=0	$3 x^{2} + y^{2} - 6 x - 8 y - 5 = 0$
44946	Factor	5ye^(xy^5)+5xy^4e^(xy^5)	$5 y e^{x y^{5}} + 5 x y^{4} e^{x y^{5}}$
44947	Simplify	(1/t-1/1)/(t-1)	$\frac{\frac{1}{t} - \frac{1}{1}}{t - 1}$
44948	Solve the Rational Equation for x	-5126=-6-5(3x+22)^(5/3)	$- 5126 = - 6 - 5 {(3 x + 22)}^{\frac{5}{3}}$
44949	Solve for y	6- square root of y-5=3	$6 - \sqrt{y - 5} = 3$
44950	Solve for m	87=2+m^3	$87 = 2 + m^{3}$
44951	Evaluate	d+3 = square root of 4d+57	$d + 3 = \sqrt{4 d + 57}$
44952	Find the Exact Value	arccos(tan(0))	$\arccos (\tan (0))$
44953	Simplify	a/(a^0)	$\frac{a}{a^{0}}$
44954	Evaluate	-6/(2^2)	$- \frac{6}{2^{2}}$
44955	Simplify	(5+x square root of 5)^2	${(5 + x \sqrt{5})}^{2}$
44956	Simplify	(x^(1/2)y^3)^6	${(x^{\frac{1}{2}} y^{3})}^{6}$
44957	Solve the System of Inequalities	y<=1/3x+2 y>x y<=1	$y \leq \frac{1}{3} x + 2$ $y > x$ $y \leq 1$
44958	Combine Like Terms	5*(-2w-4)	$5 \times (- 2 w - 4)$
44959	Convert to Trigonometric Form	cot(theta)sin(theta)	$\cot (θ) \sin (θ)$
44960	Simplify	((3x+15)/(49x^2-4))÷((2x-7)/(7x-2))	$\frac{3 x + 15}{49 x^{2} - 4} \div \frac{2 x - 7}{7 x - 2}$
44961	Write in Standard Form	y=3x^2+x^3-(x^3+x^2)	$y = 3 x^{2} + x^{3} - (x^{3} + x^{2})$
44962	Simplify the Radical Expression	( square root of 3-2)/(4+ square root of 3)	$\frac{\sqrt{3} - 2}{4 + \sqrt{3}}$
44963	Solve the System of Equations	x^3+y=0 4x^2-y=0	$x^{3} + y = 0$ $4 x^{2} - y = 0$
44964	Solve the System of Equations	y=x y=2x-1	$y = x$ $y = 2 x - 1$
44965	Multiply	(8-2)*180	$(8 - 2) \cdot 180$
44966	Solve for x	sec(x)+1=tan(x)	$\sec (x) + 1 = \tan (x)$
44967	Solve for x	5/6(x-5/2)=65/12	$\frac{5}{6} (x - \frac{5}{2}) = \frac{65}{12}$
44968	Solve the Inequality for x	(2x+6)(x-4)>0	$(2 x + 6) (x - 4) > 0$
44969	Find the Excluded Values	1/(x-2)-2/(x+5)=(2x-1)/(x^2+3x-10)	$\frac{1}{x - 2} - \frac{2}{x + 5} = \frac{2 x - 1}{x^{2} + 3 x - 10}$
44970	Simplify	(4+x square root of 6)^2	${(4 + x \sqrt{6})}^{2}$
44971	Simplify	2/4+1/3	$\frac{2}{4} + \frac{1}{3}$
44972	Solve by Graphing	x+5y=5 y=-4/5x-2	$x + 5 y = 5$ $y = - \frac{4}{5} x - 2$
44973	Write the Fraction in Simplest Form	2/9*3/4	$\frac{2}{9} \cdot \frac{3}{4}$
44974	Simplify	(x^16)3/2	$(x^{16}) \frac{3}{2}$
44975	Graph	y>=0 y x+y<6	$y \geq 0$ $y$ $x + y < 6$
44976	Determine if Dependent, Independent, or Inconsistent	4x=2y-6 y=2x+3	$4 x = 2 y - 6$ $y = 2 x + 3$
44977	Simplify	(a^7b^4c)/(a^4b^11c^3)	$\frac{a^{7} b^{4} c}{a^{4} b^{11} c^{3}}$
44978	Multiply	- square root of 5* square root of 20	$- \sqrt{5} \cdot \sqrt{20}$
44979	Solve for c	169=c^2	$169 = c^{2}$
44980	Find the Inverse	f(x)=x^4+7 for x>=0	$f (x) = x^{4} + 7$ for $x \geq 0$
44981	Evaluate	square root of 160a^5b^4	$\sqrt{160 a^{5}} b^{4}$
44982	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2+23x+15 is divided by x+5	Use the long division method to find the result when $3 x^{3} + 19 x^{2} + 23 x + 15$ is divided by $x + 5$
44983	Find the Antiderivative	f(x)=3^x natural log of 3	$f (x) = 3^{x} \ln (3)$
44984	Solve for a	a-6=8-(9+a)	$a - 6 = 8 - (9 + a)$
44985	Simplify	(x/3-x/4)÷(x/12)	$(\frac{x}{3} - \frac{x}{4}) \div \frac{x}{12}$
44986	Evaluate	60% of 60	$60 %$ of $60$
44987	Simplify the Matrix	P(x)=(x^4+2x^2+1)^2Q(x)=(x^2+34x+289)(x+1)	$P (x) = {(x^{4} + 2 x^{2} + 1)}^{2} Q (x) = (x^{2} + 34 x + 289) (x + 1)$
44988	Divide	(-9-6i)/(-3-2i)	$\frac{- 9 - 6 i}{- 3 - 2 i}$
44989	Factor	s(x)=x^4+4x^3-64x-256	$s (x) = x^{4} + 4 x^{3} - 64 x - 256$
44990	Solve for d	-7/12=1 5/6+d	$- \frac{7}{12} = 1 \frac{5}{6} + d$
44991	Find the Second Derivative	f(x)=cos(2x)-sin(2x)	$f (x) = \cos (2 x) - \sin (2 x)$
44992	Simplify the Radical Expression	square root of (w^-1)/(w^-2)	$\sqrt{\frac{w^{- 1}}{w^{- 2}}}$
44993	Evaluate	(4+8*(5-3))÷5+6	$(4 + 8 \times (5 - 3)) \div 5 + 6$
44994	Evaluate the Integral	integral from 1 to e of 1/(y(1+ natural log of y)) with respect to y	$\int_{1}^{e} \frac{1}{y (1 + \ln (y))} d y$
44995	Find the Derivative - d/dx	(2x)/(1+x^4)	$\frac{2 x}{1 + x^{4}}$
44996	Divide	(-21/2)÷(-3/14)	$- \frac{21}{2} \div (- \frac{3}{14})$
44997	Simplify	pi*5^2	$π \cdot 5^{2}$
44998	Find the Third Term	a_n=2(2)^n	$a_{n} = 2 {(2)}^{n}$
44999	Add	2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50	$2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 + 50$
45000	Evaluate	2sin(theta)- square root of 3=0	$2 \sin (θ) - \sqrt{3} = 0$