Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15501	Simplify	3^(9^(2^-1))	$3^{9^{2^{- 1}}}$
15502	Factor	y(a-b)-(a-b)	$y (a - b) - (a - b)$
15503	Find the Domain and Range	f(x)=3x+1,x<1; 5-x,x>=1	$f (x) = {\begin{cases} 3 x + 1, x < 1 \\ 5 - x, x \geq 1 \end{cases}$
15504	Simplify	((9x^2yz)/(5z^4))÷((12x^4y^2)/(50xy^4z^2))	$\frac{9 x^{2} y z}{5 z^{4}} \div \frac{12 x^{4} y^{2}}{50 x y^{4} z^{2}}$
15505	Find the Reference Angle	tan((7pi)/6)	$\tan (\frac{7 π}{6})$
15506	Simplify	square root of -4- square root of -5	$\sqrt{- 4} - \sqrt{- 5}$
15507	Solve for y	square root of y+(y+2) = square root of 6	$\sqrt{y + (y + 2)} = \sqrt{6}$
15508	Solve for x	(x-a)/b+(x-b)/a=2	$\frac{x - a}{b} + \frac{x - b}{a} = 2$
15509	Solve for x	7x+8(x+1/4)=3(6x-9)-8	$7 x + 8 (x + \frac{1}{4}) = 3 (6 x - 9) - 8$
15510	Evaluate	9+(7*(15+3))÷(3^2)	$9 + 7 \cdot (15 + 3) \div 3^{2}$
15511	Simplify	5x^4y^2 square root of 4/25x^20y^30	$5 x^{4} y^{2} \sqrt{\frac{4}{25}} x^{20} y^{30}$
15512	Find dy/dx	y-y^2+x+x^2=-2y^3	$y - y^{2} + x + x^{2} = - 2 y^{3}$
15513	Solve for m	14=2+4m^2	$14 = 2 + 4 m^{2}$
15514	Solve for x	(1+3x)/(1-2x)=(5-3x)/(1+2x)	$\frac{1 + 3 x}{1 - 2 x} = \frac{5 - 3 x}{1 + 2 x}$
15515	Divide Using Long Polynomial Division	(x^3+2x^2-1)÷(x^2+x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} + x + 1)$
15516	Rationalize the Denominator	(3 square root of x^8)/( square root of 2)	$\frac{3 \sqrt{x^{8}}}{\sqrt{2}}$
15517	Evaluate	square root of x^2-5=x-2	$\sqrt{x^{2} - 5} = x - 2$
15518	Simplify	(x+2)/(x-6)-(x^2+5x+14)/(x^2-2x-24)	$\frac{x + 2}{x - 6} - \frac{x^{2} + 5 x + 14}{x^{2} - 2 x - 24}$
15519	Factor by Grouping	p(c-d)+c-d	$p (c - d) + c - d$
15520	Factor	(4x+3)^2-(2x-1)^2	${(4 x + 3)}^{2} - {(2 x - 1)}^{2}$
15521	Solve for x	cube root of 4x-9 = cube root of 2x-4	$\sqrt[3]{4 x - 9} = \sqrt[3]{2 x - 4}$
15522	Solve for x	8/7-(2x+4)/x=2/(7x)	$\frac{8}{7} - \frac{2 x + 4}{x} = \frac{2}{7 x}$
15523	Solve the Inequality for y	2(y-6)+13>15	$2 (y - 6) + 13 > 15$
15524	Simplify	(p+7)/(p-10)*(p+2)/(7p+14)	$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 p + 14}$
15525	Graph	Graph x=-3	Graph $x = - 3$
15526	Simplify	(w^4y^-7p)(-y^5p^11)	$(w^{4} y^{- 7} p) (- y^{5} p^{11})$
15527	Simplify	cube root of x^2* square root of x^5	$\sqrt[3]{x^{2}} \cdot \sqrt{x^{5}}$
15528	Factor	6(x+6)^2(2x-5)^2-(x+6)(2x-5)^3	$6 {(x + 6)}^{2} {(2 x - 5)}^{2} - (x + 6) {(2 x - 5)}^{3}$
15529	Evaluate	(2^2)/(2^-8)*2^8	$\frac{2^{2}}{2^{- 8}} \cdot 2^{8}$
15530	Evaluate	((3-4i)/5)^-1	${(\frac{3 - 4 i}{5})}^{- 1}$
15531	Solve for x	2/(x+4)-1/x=2/(3x)	$\frac{2}{x + 4} - \frac{1}{x} = \frac{2}{3 x}$
15532	Graph Using a Table of Values	h(x)=x/2+5	$h (x) = \frac{x}{2} + 5$
15533	Factor	(a+b+c)x+(a+b+c)y	$(a + b + c) x + (a + b + c) y$
15534	Simplify	4x^(3/2)(x^3+x^2)-6x^(5/2)-6x^(3/2)	$4 x^{\frac{3}{2}} (x^{3} + x^{2}) - 6 x^{\frac{5}{2}} - 6 x^{\frac{3}{2}}$
15535	Simplify	( cube root of 1/5)^3	${(\sqrt[3]{\frac{1}{5}})}^{3}$
15536	Find the x and y Intercepts	f(X)=-5x^7+5x^3	$f (X) = - 5 x^{7} + 5 x^{3}$
15537	Simplify	(5x)/(x+8)+(4x-9)/(x^2+5x-24)	$\frac{5 x}{x + 8} + \frac{4 x - 9}{x^{2} + 5 x - 24}$
15538	Evaluate	(64^(2/3))/(343^(2/3))	$\frac{64^{\frac{2}{3}}}{343^{\frac{2}{3}}}$
15539	Rationalize the Denominator	( square root of 5- square root of 3)/( square root of 3)	$\frac{\sqrt{5} - \sqrt{3}}{\sqrt{3}}$
15540	Simplify	(12x^2y)/(3x^2)	$\frac{12 x^{2} y}{3 x^{2}}$
15541	Simplify	10w+3d+3w+d	$10 w + 3 d + 3 w + d$
15542	Combine Like Terms	2(3/4n+8+1/4n-12)	$2 (\frac{3}{4} n + 8 + \frac{1}{4} n - 12)$
15543	Solve by Factoring	6x^2-2x=x	$6 x^{2} - 2 x = x$
15544	Simplify	((2x)/3)^-3	${(\frac{2 x}{3})}^{- 3}$
15545	Solve the System of Equations	y=1/2x-3 y=3/2x-1	$y = \frac{1}{2} x - 3$ $y = \frac{3}{2} x - 1$
15546	Simplify	square root of x( square root of 5- square root of x)	$\sqrt{x} (\sqrt{5} - \sqrt{x})$
15547	Add	7 square root of 2+3 square root of 2+ square root of 2	$7 \sqrt{2} + 3 \sqrt{2} + \sqrt{2}$
15548	Evaluate	(4/x)^-3	${(\frac{4}{x})}^{- 3}$
15549	Write with Rational (Fractional) Exponents	( square root of x^5y^4)/(y^2 fifth root of z^10)	$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$
15550	Factor	18x^3y^2-8x^2y^4+20xy^3	$18 x^{3} y^{2} - 8 x^{2} y^{4} + 20 x y^{3}$
15551	Find dy/dx	y=(e^(2x))/(e^x+1)	$y = \frac{e^{2 x}}{e^{x} + 1}$
15552	Find the Cube Roots of a Complex Number	-3+4i	$- 3 + 4 i$
15553	Simplify	4(48^(1/4))-3*3^(1/4)	$4 (48^{\frac{1}{4}}) - 3 \cdot 3^{\frac{1}{4}}$
15554	Graph	sin(theta)>0 , cot(theta)<0	$\sin (θ) > 0$ , $\cot (θ) < 0$
15555	Graph	f(x)=sin(4/3)(x+(3pi)/2)+2	$f (x) = \sin (\frac{4}{3}) (x + \frac{3 π}{2}) + 2$
15556	Solve the Inequality for n	(n/3)>-20	$(\frac{n}{3}) > - 20$
15557	Find the Second Derivative	e^(-x)+2xe^(-x)+x^2e^(-x)	$e^{- x} + 2 x e^{- x} + x^{2} e^{- x}$
15558	Write the Fraction in Simplest Form	((4n)^2)/(-4n^-5)	$\frac{{(4 n)}^{2}}{- 4 n^{- 5}}$
15559	Simplify	plus or minus square root of 121x^4y^16	$\pm \sqrt{121 x^{4} y^{16}}$
15560	Simplify	(5^6)/((5^0)^-4)	$\frac{5^{6}}{{(5^{0})}^{- 4}}$
15561	Solve the System of Equations	y=x+2 y=x+4	$y = x + 2$ $y = x + 4$
15562	Solve for x	Solve ( square root of 6)^(8x)=216^(x-3)	Solve ${(\sqrt{6})}^{8 x} = 216^{x - 3}$
15563	Evaluate the Limit	limit as x approaches -5 from the right of ((x+5)^2)/(x^2+5x)	$lim_{x \to {(- 5)}^{+}} \frac{{(x + 5)}^{2}}{x^{2} + 5 x}$
15564	Simplify	(( square root of 5-2i)/2)(( square root of 5+2i)/2)	$(\frac{\sqrt{5} - 2 i}{2}) (\frac{\sqrt{5} + 2 i}{2})$
15565	Simplify the Radical Expression	3 cube root of 108	$3 \sqrt[3]{108}$
15566	Solve the Inequality for a	-3.6>=-0.3a+1.2	$- 3.6 \geq - 0.3 a + 1.2$
15567	Convert to Rectangular Coordinates	(2 square root of 3,pi/3)	$(2 \sqrt{3}, \frac{π}{3})$
15568	Find the Roots (Zeros)	square root of 2x+7=3	$\sqrt{2 x + 7} = 3$
15569	Solve for t	x=sin(3t)	$x = \sin (3 t)$
15570	Evaluate the Integral	integral of (sin(x)^2)(cos(x)^2) with respect to x	$\int (\sin^{2} (x)) (\cos^{2} (x)) d x$
15571	Graph	y=1/2x^4-3/2x^3	$y = \frac{1}{2} x^{4} - \frac{3}{2} x^{3}$
15572	Solve for x	(13x-1)^2-2(13x-1)-3=0	${(13 x - 1)}^{2} - 2 (13 x - 1) - 3 = 0$
15573	Simplify	square root of 14xy* square root of 12* square root of 30y	$\sqrt{14 x y} \cdot \sqrt{12} \cdot \sqrt{30 y}$
15574	Find the Degree	f(x)=2(x-3)	$f (x) = 2 (x - 3)$
15575	Solve by Factoring	4x^5-100x^(13/3)=0	$4 x^{5} - 100 x^{\frac{13}{3}} = 0$
15576	Solve for x	(x-1)^(2/3)=(x+5)^(1/3)	${(x - 1)}^{\frac{2}{3}} = {(x + 5)}^{\frac{1}{3}}$
15577	Solve for t	9t^6-14t^3+4t-1=0	$9 t^{6} - 14 t^{3} + 4 t - 1 = 0$
15578	Find the First Term	a_n=72(1/3)^(n-1)	$a_{n} = 72 {(\frac{1}{3})}^{n - 1}$
15579	Solve the Function Operation	f(x)=8x^3 ; find f^-1(x)	$f (x) = 8 x^{3}$ ; find $f^{- 1} (x)$
15580	Simplify	(5x^2+2x^5+10x^5)(6x^5+2x^5-8x^5)	$(5 x^{2} + 2 x^{5} + 10 x^{5}) (6 x^{5} + 2 x^{5} - 8 x^{5})$
15581	Simplify	-1/( square root of 1-(-1)^2)	$\frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$
15582	Evaluate	sec(330 degrees )	$\sec (330 °)$
15583	Find the x and y Intercepts	(x-2)(x+3)	$(x - 2) (x + 3)$
15584	Simplify the Radical Expression	((16m^9n^3)/(2^6))^(1/3)	${(\frac{16 m^{9} n^{3}}{2^{6}})}^{\frac{1}{3}}$
15585	Find the Equation Given the Roots	2+3i and square root of 7	$2 + 3 i$ and $\sqrt{7}$
15586	Solve the Inequality for y	11>-3y+2	$11 > - 3 y + 2$
15587	Simplify the Radical Expression	square root of x^2+10x+25	$\sqrt{x^{2} + 10 x + 25}$
15588	Simplify	(y^4*2xy)^3	${(y^{4} \cdot 2 x y)}^{3}$
15589	Simplify	(x-3)/(x+7)*(2x)/(x-3)	$\frac{x - 3}{x + 7} \cdot \frac{2 x}{x - 3}$
15590	Graph	-4<=4x+8	$- 4 \leq 4 x + 8$
15591	Find the LCD	(4x+12)/(x^2+5x+6) and (5x+15)/(10x+20)	$\frac{4 x + 12}{x^{2} + 5 x + 6}$ and $\frac{5 x + 15}{10 x + 20}$
15592	Evaluate	4+((6^2)÷(1/4))*3	$4 + (6^{2} \div \frac{1}{4}) \cdot 3$
15593	Simplify	27^(1/3)-16^(1/4)-4^(1/2)	$27^{\frac{1}{3}} - 16^{\frac{1}{4}} - 4^{\frac{1}{2}}$
15594	Solve for θ	tan(theta)*sin(theta)=-sin(theta)	$\tan (θ) \cdot \sin (θ) = - \sin (θ)$
15595	Multiply	square root of 2*2 square root of 2	$\sqrt{2} \cdot 2 \sqrt{2}$
15596	Simplify	(-20xy^(-1/2))/(4x^3y^(-3/4))	$\frac{- 20 x y^{- \frac{1}{2}}}{4 x^{3} y^{- \frac{3}{4}}}$
15597	Solve for x	3(x+2)=(5)	$3 (x + 2) = (5)$
15598	Solve for x	\|2x-3\|-5>=1	$\| 2 x - 3 \| - 5 \geq 1$
15599	Solve for θ in Degrees	cos(theta)^2+2cos(theta)=0	$\cos^{2} (θ) + 2 \cos (θ) = 0$
15600	Find All Complex Solutions	3x^2=-12	$3 x^{2} = - 12$