Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27501	Evaluate Using the Given Value	Solve P=2G+2M for G	Solve $P = 2 G + 2 M$ for $G$
27502	Find the Reference Angle	cos((13pi)/3)	$\cos (\frac{13 π}{3})$
27503	Evaluate	-3+6i-(-5-3i)-8i	$- 3 + 6 i - (- 5 - 3 i) - 8 i$
27504	Evaluate the Integral	integral of (8x^4+18x^3-7x)/x with respect to x	$\int \frac{8 x^{4} + 18 x^{3} - 7 x}{x} d x$
27505	Simplify	(( square root of 5)/3)/(2/3)	$\frac{\frac{\sqrt{5}}{3}}{\frac{2}{3}}$
27506	Solve for x in Radians	sin(2x)=-sin(x)	$\sin (2 x) = - \sin (x)$
27507	Write in Standard Form	(3x^2-x+3)+(4x^2-5)	$(3 x^{2} - x + 3) + (4 x^{2} - 5)$
27508	Solve the Inequality for x	-3x+7-5x<15	$- 3 x + 7 - 5 x < 15$
27509	Solve for x	8x+3=4.7x-(-2.8x-3.7)	$8 x + 3 = 4.7 x - (- 2.8 x - 3.7)$
27510	Solve the System of Inequalities	2x+y>=3 y>=-2x-3	$2 x + y \geq 3$ $y \geq - 2 x - 3$
27511	Rationalize the Denominator	(a+ square root of ab)/( square root of a+ square root of b)	$\frac{a + \sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
27512	Find the Asymptotes	y=sec(pix)	$y = \sec (π x)$
27513	Evaluate	((5^-2)/5)^4	${(\frac{5^{- 2}}{5})}^{4}$
27514	Graph	7x+10>17x	$7 x + 10 > 17 x$
27515	Solve the Inequality for x	6x^2+18x>7x-3	$6 x^{2} + 18 x > 7 x - 3$
27516	Solve for a	(10- square root of 18)/( square root of 2)=a+b square root of 2	$\frac{10 - \sqrt{18}}{\sqrt{2}} = a + b \sqrt{2}$
27517	Evaluate	6÷(\|5-7\|)*6	$6 \div \| 5 - 7 \| \cdot 6$
27518	Write in Standard Form	x=1/2	$x = \frac{1}{2}$
27519	Solve the System of Equations	Y=-3x+4 x=2Y+6	$Y = - 3 x + 4$ $x = 2 Y + 6$
27520	Solve for x	1/4sin(x)+1=0	$\frac{1}{4} \sin (x) + 1 = 0$
27521	Evaluate	( square root of x+1)^2	${(\sqrt{x} + 1)}^{2}$
27522	Solve for x	log of x/2* log of 2/x=-1	$\log (\frac{x}{2}) \cdot \log (\frac{2}{x}) = - 1$
27523	Convert to a Decimal	Convert the inequality -10 into interval notation	Convert the inequality $- 10$ into interval notation
27524	Find the Roots (Zeros)	x^2-2/x	$x^{2} - \frac{2}{x}$
27525	Simplify	(64x^(9/4))/(4x^2)	$\frac{64 x^{\frac{9}{4}}}{4 x^{2}}$
27526	Simplify	(xy-2x+3y-6)/(x^2+8x+15)	$\frac{x y - 2 x + 3 y - 6}{x^{2} + 8 x + 15}$
27527	Solve for t	square root of t+5t=6 square root of t	$\sqrt{t} + 5 t = 6 \sqrt{t}$
27528	Integrate Using u-Substitution	integral of (x^2-9)^3(2x) with respect to x	$\int {(x^{2} - 9)}^{3} (2 x) d x$
27529	Solve by Graphing	x=17-4y y=x-2	$x = 17 - 4 y$ $y = x - 2$
27530	Solve for x	7x-6i=14+yi	$7 x - 6 i = 14 + y i$
27531	Simplify	(x^14y^-2)/(x^8)	$\frac{x^{14} y^{- 2}}{x^{8}}$
27532	Write in Standard Form	x+3x^2+5	$x + 3 x^{2} + 5$
27533	Simplify	Simplify 4 square root of 75	Simplify $4 \sqrt{75}$
27534	Write in Standard Form	x(x-4)(x-6)=0	$x (x - 4) (x - 6) = 0$
27535	Factor	1/(8x^6)+(y^3)/216	$\frac{1}{8 x^{6}} + \frac{y^{3}}{216}$
27536	Solve for x	2020/2021(2x-3)-2019/2020(2x-3)=0	$\frac{2020}{2021} (2 x - 3) - \frac{2019}{2020} (2 x - 3) = 0$
27537	Graph	y=3/4x^(1/3)-1	$y = \frac{3}{4} x^{\frac{1}{3}} - 1$
27538	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+16x^2+20x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 16 x^{2} + 20 x + 7$ is divided by $2 x + 1$
27539	Simplify	(m^(3/2)n^(-1/4))/(m^(3/4)n^(3/4))	$\frac{m^{\frac{3}{2}} n^{\frac{- 1}{4}}}{m^{\frac{3}{4}} n^{\frac{3}{4}}}$
27540	Solve for x	9/5x+32=y	$\frac{9}{5} x + 32 = y$
27541	Find the Critical Points	Let h(x)=(e^x)/(x-1)	Let $h (x) = \frac{e^{x}}{x - 1}$
27542	Find Amplitude, Period, and Phase Shift	y=3sin(100x+1)	$y = 3 \sin (100 x + 1)$
27543	Write as a Single Logarithm	2* log of 6-1/4* log of 16+ log of 3	$2 \cdot \log (6) - \frac{1}{4} \cdot \log (16) + \log (3)$
27544	Find the Minimum	y=x^2	$y = x^{2}$
27545	Solve the System of Equations	y=x^2 y=x+2	$y = x^{2}$ $y = x + 2$
27546	Subtract	4a-3b+2c and -6a+4b-2c-2	$4 a - 3 b + 2 c$ and $- 6 a + 4 b - 2 c - 2$
27547	Find the Derivative - d/dx	(2x^3+x^2-6x)^(2/3)	${(2 x^{3} + x^{2} - 6 x)}^{\frac{2}{3}}$
27548	Graph Using a Table of Values	f(x)=(1/4)^(x-6)-1	$f (x) = {(\frac{1}{4})}^{x - 6} - 1$
27549	Find the Domain	f(x)=(5x)/(5+ square root of 20-x)	$f (x) = \frac{5 x}{5 + \sqrt{20 - x}}$
27550	Multiply	2xy(x^3-3y^2)	$2 x y (x^{3} - 3 y^{2})$
27551	Write in Standard Form	x^2-5+2x+x^2	$x^{2} - 5 + 2 x + x^{2}$
27552	Solve for b	cube root of b=-2	$\sqrt[3]{b} = - 2$
27553	Divide	(7p^2q^2)/(14p^2q^2)	$\frac{7 p^{2} q^{2}}{14 p^{2} q^{2}}$
27554	Describe the Transformation	F(x) = square root of x+1	$F (x) = \sqrt{x} + 1$
27555	Simplify	(2/(5m^5))^-4	${(\frac{2}{5 m^{5}})}^{- 4}$
27556	Divide	(-5 square root of 20)÷( square root of 2)	$- 5 \sqrt{20} \div \sqrt{2}$
27557	Find the Asymptotes	f(x)=(X^2-1)/(x+2)	$f (x) = \frac{X^{2} - 1}{x + 2}$
27558	Solve the Inequality for f	8-4/5f>-14-2f	$8 - \frac{4}{5} f > - 14 - 2 f$
27559	Evaluate the Limit	Calculate limit as x approaches 1 of (x^2-1)/(x-1)	Calculate $lim_{x \to 1} \frac{x^{2} - 1}{x - 1}$
27560	Find the Reciprocal	( square root of 3)/2+( square root of 3)/2i	$\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2} i$
27561	Evaluate the Limit	limit as x approaches 0 of (4sin(x/4))/x	$lim_{x \to 0} \frac{4 \sin (\frac{x}{4})}{x}$
27562	Simplify	(2 square root of 5)/( square root of 12)	$\frac{2 \sqrt{5}}{\sqrt{12}}$
27563	Simplify	square root of 25- square root of 40	$\sqrt{25} - \sqrt{40}$
27564	Convert to Trigonometric Form	(1-cos(2x))/(sin(2x))	$\frac{1 - \cos (2 x)}{\sin (2 x)}$
27565	Expand the Logarithmic Expression	( log of 5x^3)/(2xy^3)	$\frac{\log (5 x^{3})}{2 x y^{3}}$
27566	Find the Derivative - d/dx	square root of x/y	$\sqrt{\frac{x}{y}}$
27567	Find the Domain and Range	Y=\|-2x+3\|	$Y = \| - 2 x + 3 \|$
27568	Solve for x	16x^4-81=0	$16 x^{4} - 81 = 0$
27569	Solve the Function Operation	Given that f(x)=x^2+16x+60 and g(x)=x+10 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 16 x + 60$ and $g (x) = x + 10$ ; find $f (x) - g (x)$ and express the result in standard form.
27570	Find the Excluded Values	(27a^3-1)/(9a^2-6a+1)	$\frac{27 a^{3} - 1}{9 a^{2} - 6 a + 1}$
27571	Simplify	square root of 3-( square root of 3)/3	$\sqrt{3} - \frac{\sqrt{3}}{3}$
27572	Simplify	(a^2+6a)/(ac+6c)	$\frac{a^{2} + 6 a}{a c + 6 c}$
27573	Subtract	(a+1)/(2a)+3/(a^2)	$\frac{a + 1}{2 a} + \frac{3}{a^{2}}$
27574	Find the Derivative - d/dx	d/(dx)(x^2*sin(x))	$\frac{d}{d x} (x^{2} \cdot \sin (x))$
27575	Solve the System of Equations	4y+5z=-3 y=-x+2 4x-3z=5	$4 y + 5 z = - 3$ $y = - x + 2$ $4 x - 3 z = 5$
27576	Find the Derivative - d/dx	(x^(n+1))/(n+1)	$\frac{x^{n + 1}}{n + 1}$
27577	Simplify the Radical Expression	( square root of a^3)( square root of a^5)	$(\sqrt{a^{3}}) (\sqrt{a^{5}})$
27578	Solve for x	5x=3*(x+4)	$5 x = 3 \cdot (x + 4)$
27579	Find the Second Derivative	3x^(2/3)-2x	$3 x^{\frac{2}{3}} - 2 x$
27580	Solve for k	l=(k+1)/k-(m+1)/m	$l = \frac{k + 1}{k} - \frac{m + 1}{m}$
27581	Write in Standard Form	x^2+x^3	$x^{2} + x^{3}$
27582	Find the Derivative - d/dx	y=1+2xe^y	$y = 1 + 2 x e^{y}$
27583	Simplify	6k square root of 12k	$6 k \sqrt{12 k}$
27584	Find the Exact Value	pi/4+pi/4	$\frac{π}{4} + \frac{π}{4}$
27585	Evaluate	1/( square root of 1-(4/5)^2)	$\frac{1}{\sqrt{1 - {(\frac{4}{5})}^{2}}}$
27586	Solve for x	square root of 5+x+10=6	$\sqrt{5 + x} + 10 = 6$
27587	Solve for n	(n^2+7n+6)/(n^2)=1/6-1/(6n^2)	$\frac{n^{2} + 7 n + 6}{n^{2}} = \frac{1}{6} - \frac{1}{6 n^{2}}$
27588	Solve for x	square root of 3x+28-8=x	$\sqrt{3 x + 28 - 8} = x$
27589	Solve the Inequality for x	6x^2+2x-1>-3x	$6 x^{2} + 2 x - 1 > - 3 x$
27590	Find the Domain and Range	square root of x^2-7x+10	$\sqrt{x^{2} - 7 x + 10}$
27591	Evaluate	arctan(1)-arctan(0)	$\arctan (1) - \arctan (0)$
27592	Find the x and y Intercepts	f(x)=-5(x+2)^2(5x+1)	$f (x) = - 5 {(x + 2)}^{2} (5 x + 1)$
27593	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?	What is the equation of the line that passes through the point $(1, 0)$ and has a slope of $1$ ?
27594	Solve the Inequality for x	y<2x-3	$y < 2 x - 3$
27595	Expand the Logarithmic Expression	log base 2 of p cube root of xy	$\log_{2} (p \sqrt[3]{x y})$
27596	Solve for X	X^2+2^2=7^2	$X^{2} + 2^{2} = 7^{2}$
27597	Factor by Grouping	14a+21a^2+21a^3	$14 a + 21 a^{2} + 21 a^{3}$
27598	Solve the Inequality for t	2(t-3)>2t-8	$2 (t - 3) > 2 t - 8$
27599	Simplify	(z^8)^0z^(1/2)	${(z^{8})}^{0} z^{\frac{1}{2}}$
27600	Graph	f(x)=x^2(x-1)	$f (x) = x^{2} (x - 1)$