Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28401	Solve the Inequality for a	\|-8a-3\|>11	$\| - 8 a - 3 \| > 11$
28402	Simplify	x/(x^2+x)*(x+1)/3	$\frac{x}{x^{2} + x} \cdot \frac{x + 1}{3}$
28403	Solve the Inequality for x	0<2x-5<9	$0 < 2 x - 5 < 9$
28404	Find the Other Trig Values in Quadrant IV	sec(theta)=(2 square root of 3)/3	$\sec (θ) = \frac{2 \sqrt{3}}{3}$
28405	Find dy/dx	sin(xy)=x^2	$\sin (x y) = x^{2}$
28406	Evaluate	cot(-(5pi)/3)	$\cot (- \frac{5 π}{3})$
28407	Solve the Inequality for x	1/2x-3<=-3	$\frac{1}{2} x - 3 \leq - 3$
28408	Evaluate the Function	f(x)=x^4+6x^2-7x+1 for x=3	$f (x) = x^{4} + 6 x^{2} - 7 x + 1$ for $x = 3$
28409	Solve for θ in Degrees	tan(theta)^2+6tan(theta)+8=0	$\tan^{2} (θ) + 6 \tan (θ) + 8 = 0$
28410	Simplify	((x-5)/(2x-5))/((x-5)/(2x-5)-(x+2)/(x-5))	$\frac{\frac{x - 5}{2 x - 5}}{\frac{x - 5}{2 x - 5} - \frac{x + 2}{x - 5}}$
28411	Simplify the Radical Expression	( square root of 270x^5)/( square root of 10)	$\frac{\sqrt{270 x^{5}}}{\sqrt{10}}$
28412	Solve the Rational Equation for x	(x+2)/(x^2-25)+1=(8x)/(2x-10)	$\frac{x + 2}{x^{2} - 25} + 1 = \frac{8 x}{2 x - 10}$
28413	Solve for x	1/(3x)=3x	$\frac{1}{3 x} = 3 x$
28414	Evaluate	4/9+(-6/9)	$\frac{4}{9} + (- \frac{6}{9})$
28415	Solve for w	-5(5w-19)=-19w-19	$- 5 (5 w - 19) = - 19 w - 19$
28416	Find the Domain and Range	y=cos(1/2theta)	$y = \cos (\frac{1}{2} θ)$
28417	Graph	y=5/3sin(-(2pi)/3x)	$y = \frac{5}{3} \sin (- \frac{2 π}{3} x)$
28418	Factor	ax^3+bx^3-8a-8b	$a x^{3} + b x^{3} - 8 a - 8 b$
28419	Simplify	((x+y)^-2(x+y)^4)/((x+y)^3)	$\frac{{(x + y)}^{- 2} {(x + y)}^{4}}{{(x + y)}^{3}}$
28420	Calculate the Square Root	- square root of 121x^4y^6z^8	$- \sqrt{121 x^{4} y^{6} z^{8}}$
28421	Find the Vertex	Y=\|x-1\|+3	$Y = \| x - 1 \| + 3$
28422	Evaluate	-1.125+24/20	$- 1.125 + \frac{24}{20}$
28423	Evaluate the Limit	limit as x approaches 3 of (3x^2+4x-39)/(x^2-9)	$lim_{x \to 3} \frac{3 x^{2} + 4 x - 39}{x^{2} - 9}$
28424	Solve for a	a-b+c=P	$a - b + c = P$
28425	Simplify	((x^2y^2)/(x^-1y^3))^-3	${(\frac{x^{2} y^{2}}{x^{- 1} y^{3}})}^{- 3}$
28426	Solve the Inequality for x	x^2-53<=-2x+10	$x^{2} - 53 \leq - 2 x + 10$
28427	Simplify	(1+cot(x)^2)/(csc(x))	$\frac{1 + \cot^{2} (x)}{\csc (x)}$
28428	Solve for X	8/11=X/3	$\frac{8}{11} = \frac{X}{3}$
28429	Describe the Transformation	f(x)=2^x , g(x)=2^(-x)+1	$f (x) = 2^{x}$ , $g (x) = 2^{- x} + 1$
28430	Solve for x	x^3-3x^2+2=0.1-x	$x^{3} - 3 x^{2} + 2 = 0.1 - x$
28431	Find the Tangent Line at (0,-3)	y=-3/((3x^2+1)^3) , (0,-3)	$y = \frac{- 3}{{(3 x^{2} + 1)}^{3}}$ , $(0, - 3)$
28432	Simplify	sixth root of cube root of 1000	$\sqrt[6]{\sqrt[3]{1000}}$
28433	Simplify	(2/3m^3n^4o^2)^3	${(\frac{2}{3} m^{3} n^{4} o^{2})}^{3}$
28434	Simplify	(6a^2b-12ab^2)/(-2ab)	$\frac{6 a^{2} b - 12 a b^{2}}{- 2 a b}$
28435	Solve the Function Operation	Given that f(x)=x^2+17x+72 and g(x)=x+8 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 17 x + 72$ and $g (x) = x + 8$ ; find $(f - g) (x)$ and express the result in standard form.
28436	Divide	(4yx^3)/(4x^4y^2)	$\frac{4 y x^{3}}{4 x^{4} y^{2}}$
28437	Solve the Inequality for x	-3x<=8-4x	$- 3 x \leq 8 - 4 x$
28438	Simplify	square root of 3/(5xy)	$\sqrt{\frac{3}{5 x y}}$
28439	Evaluate the Limit	limit as x approaches 2 of ( square root of 2x- square root of 6-x)/(4+x^2)	$lim_{x \to 2} \frac{\sqrt{2 x} - \sqrt{6 - x}}{4 + x^{2}}$
28440	Solve for x	3 square root of 27=9^(2x)	$3 \sqrt{27} = 9^{2 x}$
28441	Simplify	(e^(x-1))^2	${(e^{x - 1})}^{2}$
28442	Solve for x	3\|x+5\|+7<=-16	$3 \| x + 5 \| + 7 \leq - 16$
28443	Determine if an Ellipse	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
28444	Solve the System of Equations	5x-6y=-46 and x-y=-8	$5 x - 6 y = - 46$ and $x - y = - 8$
28445	Simplify	(3 square root of y- square root of 5)(2 square root of y+5 square root of 5)	$(3 \sqrt{y} - \sqrt{5}) (2 \sqrt{y} + 5 \sqrt{5})$
28446	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+16x^2+19x+10 is divided by 2x+5	Use the long division method to find the result when $4 x^{3} + 16 x^{2} + 19 x + 10$ is divided by $2 x + 5$
28447	Solve the Inequality for v	\|-9v\|<=54	$\| - 9 v \| \leq 54$
28448	Simplify	7-7(2+3x)+7	$7 - 7 (2 + 3 x) + 7$
28449	Find Amplitude, Period, and Phase Shift	y=4sin(3(x-2))+5	$y = 4 \sin (3 (x - 2)) + 5$
28450	Solve Using the Quadratic Formula	x^2+x-25=x	$x^{2} + x - 25 = x$
28451	Evaluate	g(2y)=x^3	$g (2 y) = x^{3}$
28452	Solve by Factoring	2x^3-8x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)$
28453	Solve the Function Operation	Given that f(x)=x^2+15x+50 and g(x)=x+5 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} + 15 x + 50$ and $g (x) = x + 5$ ; find $f (x) \div g (x)$ and express the result in standard form.
28454	Find the Length of b	tri{}{45}{6}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
28455	Solve for t	t^4-16=0	$t^{4} - 16 = 0$
28456	Simplify	1/((sin(x))/(cos(x)))	$\frac{1}{\frac{\sin (x)}{\cos (x)}}$
28457	Solve for x	4(x/5-2)=20	$4 (\frac{x}{5} - 2) = 20$
28458	Find the LCM	64x^2+48x+9 and 64x^2-9	$64 x^{2} + 48 x + 9$ and $64 x^{2} - 9$
28459	Solve the System of Inequalities	y>x-4 y<=-3x-8	$y > x - 4$ $y \leq - 3 x - 8$
28460	Solve the System of Equations	y-5=x x+2y=22	$y - 5 = x$ $x + 2 y = 22$
28461	Evaluate	p(t)=1.8^5	$p (t) = {1.8}^{5}$
28462	Simplify	-(8^0)/9	$- \frac{8^{0}}{9}$
28463	Evaluate	(-18x^5y^-2)^0	${(- 18 x^{5} y^{- 2})}^{0}$
28464	Solve the System of Inequalities	y>-1/2x+4 y<5/2x-2	$y > - \frac{1}{2} x + 4$ $y < \frac{5}{2} x - 2$
28465	Solve the Function Operation	Given that f(x)=x^2-3x-10 and g(x)=x-5 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 10$ and $g (x) = x - 5$ ; find $(f - g) (x)$ and express the result in standard form.
28466	Solve for x	sin(x)+cot(x)cos(x)=1/(f(x))	$\sin (x) + \cot (x) \cos (x) = \frac{1}{f (x)}$
28467	Simplify	5/8y^2-1 1/2y^2+3	$\frac{5}{8} y^{2} - 1 \frac{1}{2} y^{2} + 3$
28468	Evaluate the Integral	integral of ((x^6+5x^9-4)/(x^3)) with respect to x	$\int (\frac{x^{6} + 5 x^{9} - 4}{x^{3}}) d x$
28469	Evaluate	6-(18-3^2)/(4+(2-3))	$6 - \frac{18 - 3^{2}}{4 + (2 - 3)}$
28470	Multiply	(59n)/99*80/(33n)	$\frac{59 n}{99} \cdot \frac{80}{33 n}$
28471	Find the LCD	(3x)/(x+4) and 9/(4x)	$\frac{3 x}{x + 4}$ and $\frac{9}{4 x}$
28472	Simplify	fourth root of x^6y^4	$\sqrt[4]{x^{6} y^{4}}$
28473	Simplify	(2/3x)^2	${(\frac{2}{3} x)}^{2}$
28474	Simplify	(x+7)/(x+3)+(x-4)/3	$\frac{x + 7}{x + 3} + \frac{x - 4}{3}$
28475	Solve for x	(cos(x)-1)(tan(x)+1)=0	$(\cos (x) - 1) (\tan (x) + 1) = 0$
28476	Simplify	1 2/3+(-2/5)	$1 \frac{2}{3} + (- \frac{2}{5})$
28477	Solve for x	(3x-7)/x-(2x+7)/(5x)=-8/5	$\frac{3 x - 7}{x} - \frac{2 x + 7}{5 x} = \frac{- 8}{5}$
28478	Simplify	(x^2+2xy+y^2)/(x/y-y/x)	$\frac{x^{2} + 2 x y + y^{2}}{\frac{x}{y} - \frac{y}{x}}$
28479	Graph	f(x)=- cube root of 2x^5	$f (x) = - \sqrt[3]{2 x^{5}}$
28480	Simplify	x/(y^3)+1/(x^2y^3)	$\frac{x}{y^{3}} + \frac{1}{x^{2} y^{3}}$
28481	Simplify	(-2x^2y^4)^2+(6x^3y^3)(2xy^5)	${(- 2 x^{2} y^{4})}^{2} + (6 x^{3} y^{3}) (2 x y^{5})$
28482	Evaluate the Integral	integral of (7+t) square root of t with respect to t	$\int (7 + t) \sqrt{t} d t$
28483	Find the Domain and Range	f(x)=6+3 square root of x+2	$f (x) = 6 + 3 \sqrt{x + 2}$
28484	Rationalize the Denominator	3/(8 square root of x^3)	$\frac{3}{8 \sqrt{x^{3}}}$
28485	Graph	y<=-x+4 , y=0 , x>=0	$y \leq - x + 4$ , $y = 0$ , $x \geq 0$
28486	Find the Domain	g(s) = square root of (3x+4)/(x^2-5)	$g (s) = \sqrt{\frac{3 x + 4}{x^{2} - 5}}$
28487	Subtract	(-2x^2-2x+1)+(-8x^2-7)	$(- 2 x^{2} - 2 x + 1) + (- 8 x^{2} - 7)$
28488	Evaluate	(x^7)/(x^4)*x^2	$\frac{x^{7}}{x^{4}} \cdot x^{2}$
28489	Solve for u	-3/(u-2)=-6/(2u-4)+1	$- \frac{3}{u - 2} = - \frac{6}{2 u - 4} + 1$
28490	Solve for x	square root of 3x=1	$\sqrt{3 x} = 1$
28491	Solve for p	(2p-6)/4=(2p+3)/5	$\frac{2 p - 6}{4} = \frac{2 p + 3}{5}$
28492	Solve for x	cot(x)+ square root of 3=0	$\cot (x) + \sqrt{3} = 0$
28493	Find the Degree	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
28494	Write as a Single Logarithm	3 log base 2 of x- log base 2 of y+ log base 2 of z	$3 \log_{2} (x) - \log_{2} (y) + \log_{2} (z)$
28495	Graph	x+2y<2 3x-y>6	$x + 2 y < 2$ $3 x - y > 6$
28496	Combine Like Terms	(4r^3+3r^4)-(r^4-5r^3)	$(4 r^{3} + 3 r^{4}) - (r^{4} - 5 r^{3})$
28497	Find the Domain and Range	y=12/25arccsc(4x-4/7)	$y = \frac{12}{25} arccsc (4 x - \frac{4}{7})$
28498	Solve the Inequality for x	x/3<=1/2	$\frac{x}{3} \leq \frac{1}{2}$
28499	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+4x^2-26x-16 is divided by 3x-8	Use the long division method to find the result when $3 x^{3} + 4 x^{2} - 26 x - 16$ is divided by $3 x - 8$
28500	Solve the Rational Equation for x	x3/2=64	$x \frac{3}{2} = 64$