Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16801	Find the Domain	square root of square root of x^2-1	$\sqrt{\sqrt{x^{2}} - 1}$
16802	Solve for y	2^y=1/8	$2^{y} = \frac{1}{8}$
16803	Find the Derivative - d/dx	g (x)=3sin( cube root of x)	$g$ $(x) = 3 \sin (\sqrt[3]{x})$
16804	Simplify	xy^4x^-2	$x y^{4} x^{- 2}$
16805	Simplify	(3 square root of 12x^3)/( square root of 75x)	$\frac{3 \sqrt{12 x^{3}}}{\sqrt{75 x}}$
16806	Find the Percentage Rate of Change	p(t)=1.8^t	$p (t) = {1.8}^{t}$
16807	Factor	12x+5ay+12y+5ax	$12 x + 5 a y + 12 y + 5 a x$
16808	Graph	g(x)=x if x<1; 3 if x=1; 2-x^2 if 12	$g (x) = {\begin{cases} x & x < 1 \\ 3 & x = 1 \\ 2 - x^{2} & 12 \end{cases}$
16809	Solve for y	4x=y^2	$4 x = y^{2}$
16810	Find the Product	-3n(n^2+2n)	$- 3 n (n^{2} + 2 n)$
16811	Graph	8-x>=5(8-x)	$8 - x \geq 5 (8 - x)$
16812	Simplify	(2^(1/2)x^-2)^(-2/3)	${(2^{\frac{1}{2}} x^{- 2})}^{\frac{- 2}{3}}$
16813	Evaluate the Limit	limit as x approaches 2 of ( square root of x+7-3)/(2-x)	$lim_{x \to 2} \frac{\sqrt{x + 7} - 3}{2 - x}$
16814	Simplify	((3a^-2y)/(x^3))^-2	${(\frac{3 a^{- 2} y}{x^{3}})}^{- 2}$
16815	Find the Inverse	f(x)=(1-x)/(2x)	$f (x) = \frac{1 - x}{2 x}$
16816	Simplify	(5a^2b^3c^4)^4(6a^3b^4c^2)	${(5 a^{2} b^{3} c^{4})}^{4} (6 a^{3} b^{4} c^{2})$
16817	Evaluate	((2^7)/2)^-4	${(\frac{2^{7}}{2})}^{- 4}$
16818	Add	5x^3+9x^2-2x+1+x^3-2x^2-3x	$5 x^{3} + 9 x^{2} - 2 x + 1 + x^{3} - 2 x^{2} - 3 x$
16819	Simplify/Condense	log base b of 9-2 log base b of 3	$\log_{b} (9) - 2 \log_{b} (3)$
16820	Write the Fraction in Simplest Form	(-20w^7)/(-4(w^-5)^3)	$\frac{- 20 w^{7}}{- 4 {(w^{- 5})}^{3}}$
16821	Simplify	3x^2-x+7+5x+2-2x^2	$3 x^{2} - x + 7 + 5 x + 2 - 2 x^{2}$
16822	Evaluate	3/4(-1)^(4/3)	$\frac{3}{4} {(- 1)}^{\frac{4}{3}}$
16823	Simplify	(-8x^8+18x^6)/(-2x^4)	$\frac{- 8 x^{8} + 18 x^{6}}{- 2 x^{4}}$
16824	Evaluate the Integral	integral of (2x^4-6x^5+3x^-3) with respect to x	$\int (2 x^{4} - 6 x^{5} + 3 x^{- 3}) d x$
16825	Find the Derivative - d/dx	-1/(4(x+1)^(3/2))	$- \frac{1}{4 {(x + 1)}^{\frac{3}{2}}}$
16826	Evaluate the Limit	limit as x approaches 0 of (2x^2-3x+4)/x+(5x-4)/x	$lim_{x \to 0} \frac{2 x^{2} - 3 x + 4}{x} + \frac{5 x - 4}{x}$
16827	Simplify	-1/x(1-x)/(1+x)x/(x^2-1)	$- \frac{1}{x} \cdot \frac{1 - x}{1 + x} \cdot \frac{x}{x^{2} - 1}$
16828	Simplify	5x^2(-2x^2y^3)^4	$5 x^{2} {(- 2 x^{2} y^{3})}^{4}$
16829	Simplify	1-(a+b)/(a-b)	$1 - \frac{a + b}{a - b}$
16830	Find the x and y Intercepts	f(x)=-(1/3)^(x+4)	$f (x) = - {(\frac{1}{3})}^{x + 4}$
16831	Find the Roots (Zeros)	8x^5-14x^4-22x^3+57x^2-35x+6	$8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6$
16832	Simplify	(csc(x))/(cot(x)^2)-(tan(x)^2)/(csc(x))	$\frac{\csc (x)}{\cot^{2} (x)} - \frac{\tan^{2} (x)}{\csc (x)}$
16833	Solve for x	5 square root of x-1=x+3	$5 \sqrt{x - 1} = x + 3$
16834	Solve the Function Operation	(2,3) , (7,y) , m=-2/5	$(2, 3)$ , $(7, y)$ , $m = - \frac{2}{5}$
16835	Find the Vertex	f(x)=-1/4x^2+7	$f (x) = - \frac{1}{4} x^{2} + 7$
16836	Solve the Inequality for x	(-2x+10+4x)/2>4	$\frac{- 2 x + 10 + 4 x}{2} > 4$
16837	Simplify	6e^0+(11f)^0-5/(g^0)	$6 e^{0} + {(11 f)}^{0} - \frac{5}{g^{0}}$
16838	Find the First Term	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
16839	Find the Second Term	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
16840	Evaluate	1-5/2(-4/7)	$1 - \frac{5}{2} (- \frac{4}{7})$
16841	Simplify	ax(2b+3c)	$a x (2 b + 3 c)$
16842	Solve the Function Operation	f(x)=2x-2 if x!=4; 4 if x=4 Find f(4)	$f (x) = {\begin{cases} 2 x - 2 & x \neq 4 \\ 4 & x = 4 \end{cases}$ Find $f (4)$
16843	Simplify the Radical Expression	5/(-4+ square root of 5)	$\frac{5}{- 4 + \sqrt{5}}$
16844	Simplify the Radical Expression	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
16845	Evaluate the Integral	integral from 0 to pi/2 of x^2sin(x) with respect to x	$\int_{0}^{\frac{π}{2}} x^{2} \sin (x) d x$
16846	Evaluate	(1+( square root of 3)/3)/(1-( square root of 3)/3)	$\frac{1 + \frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}}$
16847	Simplify	(3/x+2/y)/(1+4/y)	$\frac{\frac{3}{x} + \frac{2}{y}}{1 + \frac{4}{y}}$
16848	Graph	y>=1/4x+5 y<1/4x+2	$y \geq \frac{1}{4} x + 5$ $y < \frac{1}{4} x + 2$
16849	Find the Derivative - d/dx	y=(cos(mx))/(sin(nx))	$y = \frac{\cos (m x)}{\sin (n x)}$
16850	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 9x^2-4)/(3x+5)	$lim_{x \to - \infty} \frac{\sqrt{9 x^{2} - 4}}{3 x + 5}$
16851	Find the Exact Value	26*26^8	$26 \cdot 26^{8}$
16852	Simplify	27x^3+27/2x^2+9/4x+1/8	$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$
16853	Find the Maximum/Minimum Value	f(x)=-x^4+x^3+19	$f (x) = - x^{4} + x^{3} + 19$
16854	Simplify	(4x^2+20x)/(5x^2+x^3)	$\frac{4 x^{2} + 20 x}{5 x^{2} + x^{3}}$
16855	Solve for x	2x=y+4	$2 x = y + 4$
16856	Integrate By Parts	integral of natural log of 5x with respect to x	$\int \ln (5 x) d x$
16857	Solve for n	x^12*x^n=x^12	$x^{12} \cdot x^{n} = x^{12}$
16858	Simplify	(8x-3)/(16x+28)-(x-7)/(4x+7)	$\frac{8 x - 3}{16 x + 28} - \frac{x - 7}{4 x + 7}$
16859	Simplify	(6x^3)/(2x^4y^2)	$\frac{6 x^{3}}{2 x^{4} y^{2}}$
16860	Graph	y=x-6 y=x+2	$y = x - 6$ $y = x + 2$
16861	Find the Inflection Points	-1/6x^6-2x^5	$- \frac{1}{6} x^{6} - 2 x^{5}$
16862	Evaluate the Limit	limit as x approaches 4 of (f(x)-5)/(x-2)=1	$lim_{x \to 4} \frac{f (x) - 5}{x - 2} = 1$
16863	Simplify the Radical Expression	21 root of (p^-4)/(p^3)	$\sqrt[21]{\frac{p^{- 4}}{p^{3}}}$
16864	Write in Standard Form	f(x)=(5x+3)(25x^2-15x+9)	$f (x) = (5 x + 3) (25 x^{2} - 15 x + 9)$
16865	Find the Domain and Range	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$
16866	Find the Integral	2xe^x	$2 x e^{x}$
16867	Find the Derivative - d/dx	y=csc(2x)^4	$y = \csc^{4} (2 x)$
16868	Find the Inverse	f(x)=1/2x^3+1/2	$f (x) = \frac{1}{2} x^{3} + \frac{1}{2}$
16869	Find the Derivative - d/dx	(cos(x/2))/2	$\frac{\cos (\frac{x}{2})}{2}$
16870	Simplify	(3xy-1)^3	${(3 x y - 1)}^{3}$
16871	Find the x and y Intercepts	(-3x^2+21x-36)/(5x-20)	$\frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
16872	Simplify	(-125/64)^(-1/3)	${(- \frac{125}{64})}^{\frac{- 1}{3}}$
16873	Simplify	(2-x)^2+3	${(2 - x)}^{2} + 3$
16874	Simplify the Radical Expression	0.7 square root of 300	$0.7 \sqrt{300}$
16875	Find the Exact Value	sec((-11pi)/6)	$\sec (\frac{- 11 π}{6})$
16876	Find the Roots (Zeros)	-xe^(-x)+e^(-x)	$- x e^{- x} + e^{- x}$
16877	Solve for y	x=5/(3y-2)	$x = \frac{5}{3 y - 2}$
16878	Find the Equation Given the Roots	3 , 4+2i , 1+ square root of 7	$3$ , $4 + 2 i$ , $1 + \sqrt{7}$
16879	Evaluate	30 degrees *pi/180	$30 ° \cdot \frac{π}{180}$
16880	Evaluate	(5x-4)^(1/2)-x=0	${(5 x - 4)}^{\frac{1}{2}} - x = 0$
16881	Find the Cosecant Given the Point	((2 square root of 13)/13,-(3 square root of 13)/13)	$(\frac{2 \sqrt{13}}{13}, - \frac{3 \sqrt{13}}{13})$
16882	Solve the Inequality for p	-3p>-48	$- 3 p > - 48$
16883	Solve the Rational Equation for x	x-x/(x+7)=7/(x+7)	$x - \frac{x}{x + 7} = \frac{7}{x + 7}$
16884	Solve for w	25% of what number w is 9	$25 %$ of what number $w$ is $9$
16885	Simplify	(4z^(a+2))÷(-8z^(a-2))	$4 z^{a + 2} \div (- 8 z^{a - 2})$
16886	Divide	(-5/6)÷(3/10)	$- \frac{5}{6} \div \frac{3}{10}$
16887	Solve for k	e^(k^2+9)e^(-k)=e^(2k+5)e^(3k-4)	$e^{k^{2} + 9} \cdot e^{- k} = e^{2 k + 5} \cdot e^{3 k - 4}$
16888	Graph	4x+3y<-2 y<=5	$4 x + 3 y < - 2$ $y \leq 5$
16889	Solve the System of Inequalities	4x+3>15 or -6x>=12	$4 x + 3 > 15$ or $- 6 x \geq 12$
16890	Solve for x	log base 3 of x+5 = log base 3 of 2x+10	$\log_{3} (x) + 5 = \log_{3} (2 x) + 10$
16891	Solve by Factoring	3x^2-21=4-x^2	$3 x^{2} - 21 = 4 - x^{2}$
16892	Evaluate	52-3x<-14	$52 - 3 x < - 14$
16893	Find dy/dx	5x^3-x^2+3y=2+4y^2	$5 x^{3} - x^{2} + 3 y = 2 + 4 y^{2}$
16894	Solve the Rational Equation for x	square root of 3x+8=x+2	$\sqrt{3 x} + 8 = x + 2$
16895	Find the Slope and y-intercept	y-1=3x+8.4	$y - 1 = 3 x + 8.4$
16896	Solve for θ in Radians	cos(theta)=-3/5	$\cos (θ) = - \frac{3}{5}$
16897	Simplify	(7(2^x)-8*2^(x-2))/(2^(x+1)-2^(x-1))	$\frac{7 (2^{x}) - 8 \cdot 2^{x - 2}}{2^{x + 1} - 2^{x - 1}}$
16898	Solve the System of Equations	-9x-2y=-3 and -2x-3y=7	$- 9 x - 2 y = - 3$ and $- 2 x - 3 y = 7$
16899	Evaluate	log base 2 of y=x+7	$\log_{2} (y) = x + 7$
16900	Find the Domain and Range	f(x)=-1/( square root of -5x+4)	$f (x) = - \frac{1}{\sqrt{- 5 x + 4}}$