Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13601	Solve for x	(x-1)/(2x+3)-(2x-1)/(3-2x)=0	$\frac{x - 1}{2 x + 3} - \frac{2 x - 1}{3 - 2 x} = 0$
13602	Solve for x	0=12x-(x-6)	$0 = 12 x - (x - 6)$
13603	Simplify	x^(4/3)=9	$x^{\frac{4}{3}} = 9$
13604	Simplify	-5(7+x)+2 5/6x	$- 5 (7 + x) + 2 \frac{5}{6} x$
13605	Find Trig Functions Using Identities	sin(theta)=5/13 , cos(theta)=-12/13	$\sin (θ) = \frac{5}{13}$ , $\cos (θ) = - \frac{12}{13}$
13606	Simplify	square root of 3- square root of 9	$\sqrt{3} - \sqrt{9}$
13607	Simplify	(2x^2y^3-4)-(6-x^2+10x^2y^3)+(-2+3x^2)	$(2 x^{2} y^{3} - 4) - (6 - x^{2} + 10 x^{2} y^{3}) + (- 2 + 3 x^{2})$
13608	Solve for x	x square root of 2 = square root of 288	$x \sqrt{2} = \sqrt{288}$
13609	Write the Fraction in Simplest Form	(6b)/(2(b)^3)	$\frac{6 b}{2 {(b)}^{3}}$
13610	Convert to a Decimal	sin(78)deg	$\sin (78)$ degrees
13611	Write as a Single Logarithm	log of x^4+1/2 log of x^4	$\log (x^{4}) + \frac{1}{2} \log (x^{4})$
13612	Simplify	(2f^-3)^3(0.4r)^2	${(2 f^{- 3})}^{3} {(0.4 r)}^{2}$
13613	Find the Exact Value	sec(480 degrees )	$\sec (480 °)$
13614	Evaluate	(10^310^-510^10)/(10^6)	$\frac{10^{3} \cdot 10^{- 5} \cdot 10^{10}}{10^{6}}$
13615	Add	square root of 3+ square root of 4	$\sqrt{3} + \sqrt{4}$
13616	Simplify the Radical Expression	15 root of 8m^3f^9	$\sqrt[15]{8 m^{3} f^{9}}$
13617	Convert from Radians to Degrees	(15pi)/4rad	$\frac{15 π}{4}$ rad
13618	Simplify	(a^2-b^2)/(a^2-a+ab-b)	$\frac{(a^{2} - b^{2})}{a^{2} - a + a b - b}$
13619	Convert to Radical Form	1/((2x+3)^(-5/2))	$\frac{1}{{(2 x + 3)}^{- \frac{5}{2}}}$
13620	Solve for x	-x+ square root of 6x+19=2	$- x + \sqrt{6 x + 19} = 2$
13621	Simplify	(6-6i)/(-4i)	$\frac{6 - 6 i}{- 4 i}$
13622	Solve by Completing the Square	2x^2+9x=x-368	$2 x^{2} + 9 x = x - 368$
13623	Solve for x	3(2x-5)=3/5(6x-1)	$3 (2 x - 5) = \frac{3}{5} (6 x - 1)$
13624	Solve the Inequality for x	natural log of x>=3	$\ln (x) \geq 3$
13625	Solve for x	log base 4 of 3x^2-4- log base 4 of 4x+2=1	$\log_{4} (3 x^{2} - 4) - \log_{4} (4 x + 2) = 1$
13626	Solve for x	2- square root of 2x+3=2x-1	$2 - \sqrt{2 x + 3} = 2 x - 1$
13627	Simplify	4 fourth root of 4096x^8y^24	$4 \sqrt[4]{4096 x^{8} y^{24}}$
13628	Simplify	2pr^2(2pr+5p^2r-15p)	$2 p r^{2} (2 p r + 5 p^{2} r - 15 p)$
13629	Solve the Inequality for x	x^2>3x+4	$x^{2} > 3 x + 4$
13630	Find dy/dx	-5+3y^3=5y^2+3y+x^2	$- 5 + 3 y^{3} = 5 y^{2} + 3 y + x^{2}$
13631	Simplify	( square root of 25x^3y^4)/(2x^4y)	$\frac{\sqrt{25 x^{3} y^{4}}}{2 x^{4} y}$
13632	Solve for t	S(t)=2t^2-3t+3	$S (t) = 2 t^{2} - 3 t + 3$
13633	Find the Exact Value	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
13634	Find the Maximum/Minimum Value	f(x)=12 cube root of x	$f (x) = 12 \sqrt[3]{x}$
13635	Simplify	fourth root of (xy)^8	$\sqrt[4]{{(x y)}^{8}}$
13636	Find the Domain	f(x)=( natural log of x+1)/(x-2)	$f (x) = \frac{\ln (x + 1)}{x - 2}$
13637	Add	(4x^2-10x+9)+(6x-2)	$(4 x^{2} - 10 x + 9) + (6 x - 2)$
13638	Find the Inverse	f(x)=(4x)^(2/3)	$f (x) = {(4 x)}^{\frac{2}{3}}$
13639	Solve the System of Equations	2x+y=8 2x+y=4	$2 x + y = 8$ $2 x + y = 4$
13640	Find the Roots (Zeros)	cos(x/4)+x^2-3x=0	$\cos (\frac{x}{4}) + x^{2} - 3 x = 0$
13641	Divide	(8x^3-x^2+2x-1)/(2x)	$\frac{8 x^{3} - x^{2} + 2 x - 1}{2 x}$
13642	Solve for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
13643	Simplify	(4cos(theta)-3sin(theta))^2+(3cos(theta)+4sin(theta))^2	${(4 \cos (θ) - 3 \sin (θ))}^{2} + {(3 \cos (θ) + 4 \sin (θ))}^{2}$
13644	Simplify the Radical Expression	sixth root of 8r^3	$\sqrt[6]{8 r^{3}}$
13645	Multiply	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
13646	Multiply	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
13647	Subtract	(9a^3b+6ab-4)-(10a^3b-6a^2b^2-6)	$(9 a^{3} b + 6 a b - 4) - (10 a^{3} b - 6 a^{2} b^{2} - 6)$
13648	Simplify	1/(x1/2)	$\frac{1}{x \frac{1}{2}}$
13649	Write in Standard Form	(-6a^4b^3)^2*-2ab^5	${(- 6 a^{4} b^{3})}^{2} \cdot - 2 a b^{5}$
13650	Solve for n	r=(2mI)/(B(n+1))	$r = \frac{2 m I}{B (n + 1)}$
13651	Solve for n	square root of n+2-4=0	$\sqrt{n + 2} - 4 = 0$
13652	Convert to Trigonometric Form	1-(cos(theta)^2)/(1+sin(theta))	$1 - \frac{\cos^{2} (θ)}{1 + \sin (θ)}$
13653	Solve for p	-0.9p+3.2=-1.7p	$- 0.9 p + 3.2 = - 1.7 p$
13654	Solve the Inequality for x	1/3x-3<-1 5/6	$\frac{1}{3} x - 3 < - 1 \frac{5}{6}$
13655	Write the Fraction in Simplest Form	(3(k^5)^2)/(-4k^-4)	$\frac{3 {(k^{5})}^{2}}{- 4 k^{- 4}}$
13656	Simplify	cube root of 125x^12* square root of 121x^3	$\sqrt[3]{125 x^{12}} \cdot \sqrt{121 x^{3}}$
13657	Simplify	(9^(3/2)*9^(1/2))/(9^-2)	$\frac{9^{\frac{3}{2}} \cdot 9^{\frac{1}{2}}}{9^{- 2}}$
13658	Integrate Using u-Substitution	integral of xe^(-x^2) with respect to x , u=-x^2	$\int x e^{- x^{2}} d x$ , $u = - x^{2}$
13659	Factor	(x+y)^4-1	${(x + y)}^{4} - 1$
13660	Solve the Function Operation	g(x)=-x^2-1-2x f(x)=x+5 Find (g-f)(x)	$g (x) = - x^{2} - 1 - 2 x$ $f (x) = x + 5$ Find $(g - f) (x)$
13661	Convert to a Percentage	15 is what percent of 40	$15$ is what percent of $40$
13662	Solve for y	3x-2y=18 for y	$3 x - 2 y = 18$ for $y$
13663	Solve the Function Operation	f(x)=x/(1+x) , f(f(x))	$f (x) = \frac{x}{1 + x}$ , $f (f (x))$
13664	Simplify	(x+9)/(x+3)-(-4x-6)/(x+3)	$\frac{x + 9}{x + 3} - \frac{- 4 x - 6}{x + 3}$
13665	Find the Exact Value	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
13666	Find the Degree, Leading Term, and Leading Coefficient	x^5+2x^6-3x^4-8x+4x^3	$x^{5} + 2 x^{6} - 3 x^{4} - 8 x + 4 x^{3}$
13667	Find the Antiderivative	e^((x+1)/2)	$e^{\frac{x + 1}{2}}$
13668	Evaluate the Limit	limit as x approaches pi/2 of x^3+5x^2-2x-15	$lim_{x \to \frac{π}{2}} x^{3} + 5 x^{2} - 2 x - 15$
13669	Solve for m	-9+ square root of 5m=-4	$- 9 + \sqrt{5 m} = - 4$
13670	Graph	A=(-1,12) , B=(6,7) , C=(1,0)	$A = (- 1, 12)$ , $B = (6, 7)$ , $C = (1, 0)$
13671	Simplify	-4m^2(n^2-m^2)+3n^2(m^2-n^2)	$- 4 m^{2} (n^{2} - m^{2}) + 3 n^{2} (m^{2} - n^{2})$
13672	Find the Domain and Range	y=1/2 square root of x+2-1	$y = \frac{1}{2} \sqrt{x + 2} - 1$
13673	Simplify	(2x+7)(x+1)(x-1)(3x+4)	$(2 x + 7) (x + 1) (x - 1) (3 x + 4)$
13674	Simplify	(6 square root of 98x^4)/( square root of 2x)	$\frac{6 \sqrt{98 x^{4}}}{\sqrt{2 x}}$
13675	Divide Using Long Polynomial Division	(2x^5+x^4-15x^3-2x^2+10x-24)÷(x^2-x-4)	$(2 x^{5} + x^{4} - 15 x^{3} - 2 x^{2} + 10 x - 24) \div (x^{2} - x - 4)$
13676	Solve the Inequality for x	25^2>=5^(x+1)	$25^{2} \geq 5^{x + 1}$
13677	Simplify	(x^2-6x+9)/(12-4x)*(x^6-9x^4)/(x^3-3x^2)	$\frac{x^{2} - 6 x + 9}{12 - 4 x} \cdot \frac{x^{6} - 9 x^{4}}{x^{3} - 3 x^{2}}$
13678	Graph	f(x)=(2X)/(X^2-9)	$f (x) = \frac{2 X}{X^{2} - 9}$
13679	Factor	sin(x)^6+cos(x)^6	$\sin^{6} (x) + \cos^{6} (x)$
13680	Solve the Inequality for x	3x+4>5(x+2)	$3 x + 4 > 5 (x + 2)$
13681	Find dx/dy	x^2y^2-2xy+x^2=1	$x^{2} y^{2} - 2 x y + x^{2} = 1$
13682	Evaluate the Integral	integral from 1 to infinity of 5/(x^4) with respect to x	$\int_{1}^{\infty} \frac{5}{x^{4}} d x$
13683	Find the Domain	(a-4)/(4a-8)+1/(2a-4)	$\frac{a - 4}{4 a - 8} + \frac{1}{2 a - 4}$
13684	Solve the Function Operation	f(x)=-2x+2 g(x)=x^2-5x+10 Find: g(f(x))	$f (x) = - 2 x + 2$ $g (x) = x^{2} - 5 x + 10$ Find: $g (f (x))$
13685	Graph	f(x)=1/2( cube root of x-4)+2	$f (x) = \frac{1}{2} (\sqrt[3]{x - 4}) + 2$
13686	Find the Slope and y-intercept	-1/2x+2y=7	$- \frac{1}{2} x + 2 y = 7$
13687	Simplify	4p(p-7q)	$4 p (p - 7 q)$
13688	Solve for x	log base 7 of 2x^2+4- log base 7 of 3x+3=0	$\log_{7} (2 x^{2} + 4) - \log_{7} (3 x + 3) = 0$
13689	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3x-8	$f (x) = 3 x - 8$
13690	Write the Fraction in Simplest Form	(4(z)^2)/(-20z^-6)	$\frac{4 {(z)}^{2}}{- 20 z^{- 6}}$
13691	Solve for x	log base 2 of x+5- log base 2 of 2x-1=5	$\log_{2} (x + 5) - \log_{2} (2 x - 1) = 5$
13692	Simplify	5/(-4- square root of 6)	$\frac{5}{- 4 - \sqrt{6}}$
13693	Solve for x	4x(x-2)=(2x+1)(2x-3)	$4 x (x - 2) = (2 x + 1) (2 x - 3)$
13694	Solve for x	cos(x)=-sin(x)	$\cos (x) = - \sin (x)$
13695	Factor	x^3+8x^2+11x-20=(x+5)	$x^{3} + 8 x^{2} + 11 x - 20 = (x + 5)$
13696	Write the Fraction in Simplest Form	(10^0r^-11s)/(3^2)	$\frac{10^{0} r^{- 11} s}{3^{2}}$
13697	Simplify	6m7m^2nn^4	$6 m \cdot 7 m^{2} n \cdot n^{4}$
13698	Solve the System of Equations	x^2-4y^2=36 x-y=6	$x^{2} - 4 y^{2} = 36$ $x - y = 6$
13699	Solve for k	k=10(-7)-19	$k = 10 (- 7) - 19$
13700	Solve for a	7a-14a^2=0	$7 a - 14 a^{2} = 0$