Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27101	Solve the System of Equations	2x+y=0 x+3y-z=-11 7x+5y+4z=21	$2 x + y = 0$ $x + 3 y - z = - 11$ $7 x + 5 y + 4 z = 21$
27102	Evaluate the Function	g(1+h)=x^3	$g (1 + h) = x^{3}$
27103	Evaluate the Limit	limit as x approaches 0 of (e^(x^2)-cos(x))/(x^2)	$lim_{x \to 0} \frac{e^{x^{2}} - \cos (x)}{x^{2}}$
27104	Simplify	2x-3xy+4x-11xy	$2 x - 3 x y + 4 x - 11 x y$
27105	Write the Fraction in Simplest Form	(2b^7)/((3v^-3b^-2)^-5)	$\frac{2 b^{7}}{{(3 v^{- 3} b^{- 2})}^{- 5}}$
27106	Find the Derivative - d/dt	20(1+e^(10-t))^-1	$20 {(1 + e^{10 - t})}^{- 1}$
27107	Evaluate	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
27108	Graph	f(x)=-2((x-2)(x-3))/(x-6)	$f (x) = - 2 \frac{(x - 2) (x - 3)}{(x - 6)}$
27109	Divide	(4/10)÷(1/3)	$\frac{4}{10} \div \frac{1}{3}$
27110	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+18x^2+22x+5 is divided by 2x+5	Use the long division method to find the result when $4 x^{3} + 18 x^{2} + 22 x + 5$ is divided by $2 x + 5$
27111	Simplify	2/( square root of 3- square root of 5)	$\frac{2}{\sqrt{3} - \sqrt{5}}$
27112	Find the Roots (Zeros)	-x^3+5x^2+12	$- x^{3} + 5 x^{2} + 12$
27113	Find y Using the Constant of Variation	if y=12 when x=4 ; find y when x=12	if $y = 12$ when $x = 4$ ; find $y$ when $x = 12$
27114	Find the Tangent Line at (-2,-16)	f(x)=2x^3 at (-2,-16)	$f (x) = 2 x^{3}$ at $(- 2, - 16)$
27115	Solve the Inequality for x	-7(4-x)+4>=-18+7x	$- 7 (4 - x) + 4 \geq - 18 + 7 x$
27116	Determine if Odd, Even, or Neither	\|x\|^3	${\| x \|}^{3}$
27117	Simplify	(3x^3)^2*(25x^6)^(1/2)	${(3 x^{3})}^{2} \cdot {(25 x^{6})}^{\frac{1}{2}}$
27118	Evaluate	3e^(2x)+4=24	$3 e^{2 x} + 4 = 24$
27119	Simplify	(2/5+4/3)/(3/5)	$\frac{\frac{2}{5} + \frac{4}{3}}{\frac{3}{5}}$
27120	Find the Derivative - d/dx	e^(x-e)+ natural log of x-x/e	$e^{x - e} + \ln (x) - \frac{x}{e}$
27121	Find the Domain	f(x)=1/(1+e^x)	$f (x) = \frac{1}{1 + e^{x}}$
27122	Solve for R	A=piR^2-pir^2	$A = π R^{2} - π r^{2}$
27123	Solve for k	square root of 2(x-k)=x-k	$\sqrt{2 (x - k)} = x - k$
27124	Graph	graph x=2	graph $x = 2$
27125	Factor	Factor x^2-16	Factor $x^{2} - 16$
27126	Evaluate	6(h-6k+7)	$6 (h - 6 k + 7)$
27127	Write in Standard Form	(x^2+x+2)(x^2+8x-10)	$(x^{2} + x + 2) (x^{2} + 8 x - 10)$
27128	Simplify	find 2(4x-5)+(6x-4)	find $2 (4 x - 5) + (6 x - 4)$
27129	Solve for x	x/y=2	$\frac{x}{y} = 2$
27130	Solve for x	square root of square root of x+2=4	$\sqrt{\sqrt{x + 2}} = 4$
27131	Graph	y=9(-5)^x	$y = 9 {(- 5)}^{x}$
27132	Solve for x	r = square root of x^2+y^2	$r = \sqrt{x^{2} + y^{2}}$
27133	Find the Asymptotes	y=3+1/(x+1)	$y = 3 + \frac{1}{x + 1}$
27134	Write in Standard Form	2/5y-3/4x=-2	$\frac{2}{5} y - \frac{3}{4} x = - 2$
27135	Solve the Rational Equation for x	-2/(x-3)=x/(x-6)	$- \frac{2}{x - 3} = \frac{x}{x - 6}$
27136	Solve for x	-2(3x-10)+8x=7x+20+7x	$- 2 (3 x - 10) + 8 x = 7 x + 20 + 7 x$
27137	Simplify	(2x+9)/(x^2+5x+6)-(x+7)/(x^2+5x+6)	$\frac{2 x + 9}{x^{2} + 5 x + 6} - \frac{x + 7}{x^{2} + 5 x + 6}$
27138	Find the Domain	x/(x^2+x-12)	$\frac{x}{x^{2} + x - 12}$
27139	Find the Derivative - d/dx	y=(2-3x)/(3+x^2)	$y = \frac{2 - 3 x}{3 + x^{2}}$
27140	Solve for x	4(1-7x)+5(3+5x)=4x-5-5x	$4 (1 - 7 x) + 5 (3 + 5 x) = 4 x - 5 - 5 x$
27141	Evaluate the Function	f(x)=x^2-x , f(-4)	$f (x) = x^{2} - x$ , $f (- 4)$
27142	Solve for y	3=e^(4y)	$3 = e^{4 y}$
27143	Simplify	x/(x^2-2x+1)-x/(x^2-1)	$\frac{x}{x^{2} - 2 x + 1} - \frac{x}{x^{2} - 1}$
27144	Simplify	( cube root of 36)÷( fourth root of 6)	$\sqrt[3]{36} \div \sqrt[4]{6}$
27145	Solve Using the Quadratic Formula	3x+5x^2=x-6	$3 x + 5 x^{2} = x - 6$
27146	Simplify	4x-5.2y+6y+7.9x-8x	$4 x - 5.2 y + 6 y + 7.9 x - 8 x$
27147	Solve for x	(1/16)^(2x-10)<=(1/16)^(3x+13)	${(\frac{1}{16})}^{2 x - 10} \leq {(\frac{1}{16})}^{3 x + 13}$
27148	Evaluate	(4*5)^2-6+3	${(4 \cdot 5)}^{2} - 6 + 3$
27149	Solve by Factoring	(x-4)^2+4=49	${(x - 4)}^{2} + 4 = 49$
27150	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+9x^3+13x^2+8x+3 is divided by x+1	Use synthetic division to find the result when $x^{4} + 9 x^{3} + 13 x^{2} + 8 x + 3$ is divided by $x + 1$
27151	Solve the Rational Equation for n	(n+5)/(n+8)=1+6/(n+1)	$\frac{n + 5}{n + 8} = 1 + \frac{6}{n + 1}$
27152	Solve Using the Quadratic Formula	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
27153	Solve the Absolute Value Inequality for c	\|4c+2\|=4	$\| 4 c + 2 \| = 4$
27154	Evaluate	csc(-2pi)	$\csc (- 2 π)$
27155	Simplify	(2x)/( square root of 5xy)	$\frac{2 x}{\sqrt{5 x y}}$
27156	Solve the Inequality for x	2x^2+4x-6<3x-3	$2 x^{2} + 4 x - 6 < 3 x - 3$
27157	Evaluate the Limit	limit as x approaches 6 of (x^2+4)/( square root of 2x+5)	$lim_{x \to 6} \frac{x^{2} + 4}{\sqrt{2 x + 5}}$
27158	Simplify the Radical Expression	(16x^-6y^-2)^(3/2)	${(16 x^{- 6} y^{- 2})}^{\frac{3}{2}}$
27159	Factor	x(2a+3b)+x(a+3b)	$x (2 a + 3 b) + x (a + 3 b)$
27160	Divide Using Long Polynomial Division	(3x^4-6x^2-x)/x	$\frac{3 x^{4} - 6 x^{2} - x}{x}$
27161	Simplify	8-\|-6\|+3	$8 - \| - 6 \| + 3$
27162	Evaluate	2/9+(1/5)÷(1/3)*1/2	$\frac{2}{9} + \frac{1}{5} \div \frac{1}{3} \cdot \frac{1}{2}$
27163	Evaluate	square root of ((910^9)\|(35010^-9)(-150*10^-9)\|)/50	$\sqrt{\frac{(9 \cdot 10^{9}) \| (350 \cdot 10^{- 9}) (- 150 \cdot 10^{- 9}) \|}{50}}$
27164	Evaluate the Integral	integral of (5+5x+6x^-3) with respect to x	$\int (5 + 5 x + 6 x^{- 3}) d x$
27165	Simplify	( square root of -1)^3	${(\sqrt{- 1})}^{3}$
27166	Find the Concavity	-1/5x^5-3x^4-12x^3	$- \frac{1}{5} x^{5} - 3 x^{4} - 12 x^{3}$
27167	Find the Asymptotes	(2x^2-5x+3)/(x-1)	$\frac{2 x^{2} - 5 x + 3}{x - 1}$
27168	Solve for z	7 1/8z=14 1/4	$7 \frac{1}{8} z = 14 \frac{1}{4}$
27169	Divide	(2x^4+8x^3-25x^2-6x+14)/(x+6)	$\frac{2 x^{4} + 8 x^{3} - 25 x^{2} - 6 x + 14}{x + 6}$
27170	Simplify the Radical Expression	( fifth root of 3b)^5	${(\sqrt[5]{3 b})}^{5}$
27171	Find dy/dx	-x^3y+y^3=x^2	$- x^{3} y + y^{3} = x^{2}$
27172	Simplify	(7m^2n-18mn^2)+(9m^2n-5mn^2+mn)	$(7 m^{2} n - 18 m n^{2}) + (9 m^{2} n - 5 m n^{2} + m n)$
27173	Find the Exact Value	arcsec(-tan((3pi)/4))	$arcsec (- \tan (\frac{3 π}{4}))$
27174	Simplify	(-2x^4-4y^3+4z^3+6)-(-9x^4-3y^3+4z^3+9)	$(- 2 x^{4} - 4 y^{3} + 4 z^{3} + 6) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
27175	Simplify	(2^7z^5)/(2^6z^3)	$\frac{2^{7} z^{5}}{2^{6} z^{3}}$
27176	Evaluate	(x^2y-3y^2+5xy^2)-(-x^2y+3xy^2-3y^2)	$(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$
27177	Graph	x<=-3 x>=3 y<=-4 y>=4	$x \leq - 3$ $x \geq 3$ $y \leq - 4$ $y \geq 4$
27178	Simplify	(3x-1/4)(4x+8)	$(3 x - \frac{1}{4}) (4 x + 8)$
27179	Evaluate Using the Given Value	20x if x=1/4	$20 x$ if $x = \frac{1}{4}$
27180	Solve for y	4x=3+y	$4 x = 3 + y$
27181	Evaluate	-1/4(20z+24)	$- \frac{1}{4} (20 z + 24)$
27182	Solve the Rational Equation for x	(4x)/(x+4)+3/(x-1)=15/(x^2+3x-4)	$\frac{4 x}{x + 4} + \frac{3}{x - 1} = \frac{15}{x^{2} + 3 x - 4}$
27183	Simplify	(8+7n^4)-(5-2n+8n^4)	$(8 + 7 n^{4}) - (5 - 2 n + 8 n^{4})$
27184	Evaluate the Limit	limit as x approaches negative infinity of arctan(x^2)	$lim_{x \to - \infty} \arctan (x^{2})$
27185	Evaluate	5/6-7/9(1/2)^2	$\frac{5}{6} - \frac{7}{9} {(\frac{1}{2})}^{2}$
27186	Solve for x	3x^(1/3)-2=-4	$3 x^{\frac{1}{3}} - 2 = - 4$
27187	Evaluate the Limit	limit as x approaches -8 of (4(x+5)^2+1)/(1/(3x+2)+2)	$lim_{x \to - 8} \frac{4 {(x + 5)}^{2} + 1}{\frac{1}{3 x + 2} + 2}$
27188	Simplify	(2x^2-2y^2)/(x^2+2xy+y^2)	$\frac{(2 x^{2} - 2 y^{2})}{x^{2} + 2 x y + y^{2}}$
27189	Find the Degree	arcsin(-( square root of 3)/2)	$\arcsin (- \frac{\sqrt{3}}{2})$
27190	Multiply	-9*(0/-3)	$- 9 \cdot (\frac{0}{- 3})$
27191	Find the Perpendicular Line	(4,-3) , y=-x-5	$(4, - 3)$ , $y = - x - 5$
27192	Evaluate the Limit	limit as x approaches 81 of (x( square root of x-9))/(x-81)	$lim_{x \to 81} \frac{x (\sqrt{x} - 9)}{x - 81}$
27193	Solve the Function Operation	g(x)=5-6x Find g(-5)	$g (x) = 5 - 6 x$ Find $g (- 5)$
27194	Find All Complex Solutions	2x+2x+2=4x+2	$2 x + 2 x + 2 = 4 x + 2$
27195	Solve the System of Equations	-2x+y=-4 2x-y=1 0=-3	$- 2 x + y = - 4$ $2 x - y = 1$ $0 = - 3$
27196	Solve for x	square root of 11x+5- square root of 11x=1	$\sqrt{11 x + 5} - \sqrt{11 x} = 1$
27197	Graph	y>=-1/2x+2 1/2 y<1/5x+6	$y \geq - \frac{1}{2} x + 2 \frac{1}{2}$ $y < \frac{1}{5} x + 6$
27198	Graph	What is the end behavior of y as x goes to negative infinity in the equation y=-2x^3+5 ?	What is the end behavior of $y$ as $x$ goes to negative infinity in the equation $y = - 2 x^{3} + 5$ ?
27199	Find the Asymptotes	(3x^3+x^2+1)/(x^4+2x)	$\frac{3 x^{3} + x^{2} + 1}{x^{4} + 2 x}$
27200	Find the Domain and Range	y=tan(x+pi)	$y = \tan (x + π)$