Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222501	Simplify	x/(x^2+x)*(x+1)/3	$\frac{x}{x^{2} + x} \cdot \frac{x + 1}{3}$
222502	Solve the Inequality for x	0<2x-5<9	$0 < 2 x - 5 < 9$
222503	Evaluate	cot(-(5pi)/3)	$\cot (- \frac{5 π}{3})$
222504	Solve the Inequality for x	1/2x-3<=-3	$\frac{1}{2} x - 3 \leq - 3$
222505	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 $x = 3$
222506	Simplify	((x-5)/(2x-5))/((x-5)/(2x-5)-(x+2)/(x-5))	$\frac{\frac{x - 5}{2 x - 5}}{\frac{x - 5}{2 x - 5} - \frac{x + 2}{x - 5}}$
222507	Simplify the Radical Expression	( square root of 270x^5)/( square root of 10)	$\frac{\sqrt{270 x^{5}}}{\sqrt{10}}$
222508	Solve the Rational Equation for x	(x+2)/(x^2-25)+1=(8x)/(2x-10)	$\frac{x + 2}{x^{2} - 25} + 1 = \frac{8 x}{2 x - 10}$
222509	Solve for x	1/(3x)=3x	$\frac{1}{3 x} = 3 x$
222510	Evaluate	4/9+(-6/9)	$\frac{4}{9} + (- \frac{6}{9})$
222511	Solve for w	-5(5w-19)=-19w-19	$- 5 (5 w - 19) = - 19 w - 19$
222512	Find the Domain and Range	y=cos(1/2theta)	$y = \cos (\frac{1}{2} θ)$
222513	Graph	y=5/3sin(-(2pi)/3x)	$y = \frac{5}{3} \sin (- \frac{2 π}{3} x)$
222514	Factor	ax^3+bx^3-8a-8b	$a x^{3} + b x^{3} - 8 a - 8 b$
222515	Simplify	((x+y)^-2(x+y)^4)/((x+y)^3)	$\frac{{(x + y)}^{- 2} {(x + y)}^{4}}{{(x + y)}^{3}}$
222516	Evaluate	-1.125+24/20	$- 1.125 + \frac{24}{20}$
222517	Solve for a	a-b+c=P	$a - b + c = P$
222518	Simplify	((x^2y^2)/(x^-1y^3))^-3	${(\frac{x^{2} y^{2}}{x^{- 1} y^{3}})}^{- 3}$
222519	Solve the Inequality for x	x^2-53<=-2x+10	$x^{2} - 53 \leq - 2 x + 10$
222520	Simplify	(1+cot(x)^2)/(csc(x))	$\frac{1 + \cot^{2} (x)}{\csc (x)}$
222521	Solve for X	8/11=X/3	$\frac{8}{11} = \frac{X}{3}$
222522	Describe the Transformation	f(x)=2^x , g(x)=2^(-x)+1	$f (x) = 2^{x}$ , $g (x) = 2^{- x} + 1$
222523	Solve for x	x^3-3x^2+2=0.1-x	$x^{3} - 3 x^{2} + 2 = 0.1 - x$
222524	Simplify	sixth root of cube root of 1000	$\sqrt[6]{\sqrt[3]{1000}}$
222525	Simplify	(2/3m^3n^4o^2)^3	${(\frac{2}{3} m^{3} n^{4} o^{2})}^{3}$
222526	Simplify	(6a^2b-12ab^2)/(-2ab)	$\frac{6 a^{2} b - 12 a b^{2}}{- 2 a b}$
222527	Divide	(4yx^3)/(4x^4y^2)	$\frac{4 y x^{3}}{4 x^{4} y^{2}}$
222528	Solve the Inequality for x	-3x<=8-4x	$- 3 x \leq 8 - 4 x$
222529	Simplify	square root of 3/(5xy)	$\sqrt{\frac{3}{5 x y}}$
222530	Solve for x	3 square root of 27=9^(2x)	$3 \sqrt{27} = 9^{2 x}$
222531	Simplify	(e^(x-1))^2	${(e^{x - 1})}^{2}$
222532	Solve for x	3\|x+5\|+7<=-16	$3 \| x + 5 \| + 7 \leq - 16$
222533	Solve the System of Equations	5x-6y=-46 and x-y=-8	$5 x - 6 y = - 46$ and $x - y = - 8$
222534	Simplify	(3 square root of y- square root of 5)(2 square root of y+5 square root of 5)	$(3 \sqrt{y} - \sqrt{5}) (2 \sqrt{y} + 5 \sqrt{5})$
222535	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 $2 x + 5$
222536	Solve the Inequality for v	\|-9v\|<=54	$\| - 9 v \| \leq 54$
222537	Simplify	7-7(2+3x)+7	$7 - 7 (2 + 3 x) + 7$
222538	Solve Using the Quadratic Formula	x^2+x-25=x	$x^{2} + x - 25 = x$
222539	Evaluate	g(2y)=x^3	$g (2 y) = x^{3}$
222540	Solve by Factoring	2x^3-8x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)$
222541	Solve for t	t^4-16=0	$t^{4} - 16 = 0$
222542	Simplify	1/((sin(x))/(cos(x)))	$\frac{1}{\frac{\sin (x)}{\cos (x)}}$
222543	Solve for x	4(x/5-2)=20	$4 (\frac{x}{5} - 2) = 20$
222544	Find the LCM	64x^2+48x+9 and 64x^2-9	$64 x^{2} + 48 x + 9$ and $64 x^{2} - 9$
222545	Solve the System of Inequalities	y>x-4 y<=-3x-8	$y > x - 4$ $y \leq - 3 x - 8$
222546	Solve the System of Equations	y-5=x x+2y=22	$y - 5 = x$ $x + 2 y = 22$
222547	Evaluate	p(t)=1.8^5	$p (t) = {1.8}^{5}$
222548	Simplify	-(8^0)/9	$- \frac{8^{0}}{9}$
222549	Evaluate	(-18x^5y^-2)^0	${(- 18 x^{5} y^{- 2})}^{0}$
222550	Solve the System of Inequalities	y>-1/2x+4 y<5/2x-2	$y > - \frac{1}{2} x + 4$ $y < \frac{5}{2} x - 2$
222551	Solve for x	sin(x)+cot(x)cos(x)=1/(f(x))	$\sin (x) + \cot (x) \cos (x) = \frac{1}{f (x)}$
222552	Simplify	5/8y^2-1 1/2y^2+3	$\frac{5}{8} y^{2} - 1 \frac{1}{2} y^{2} + 3$
222553	Evaluate	6-(18-3^2)/(4+(2-3))	$6 - \frac{18 - 3^{2}}{4 + (2 - 3)}$
222554	Multiply	(59n)/99*80/(33n)	$\frac{59 n}{99} \cdot \frac{80}{33 n}$
222555	Find the LCD	(3x)/(x+4) and 9/(4x)	$\frac{3 x}{x + 4}$ and $\frac{9}{4 x}$
222556	Simplify	fourth root of x^6y^4	$\sqrt[4]{x^{6} y^{4}}$
222557	Simplify	(2/3x)^2	${(\frac{2}{3} x)}^{2}$
222558	Simplify	(x+7)/(x+3)+(x-4)/3	$\frac{x + 7}{x + 3} + \frac{x - 4}{3}$
222559	Solve for x	(cos(x)-1)(tan(x)+1)=0	$(\cos (x) - 1) (\tan (x) + 1) = 0$
222560	Simplify	1 2/3+(-2/5)	$1 \frac{2}{3} + (- \frac{2}{5})$
222561	Solve for x	(3x-7)/x-(2x+7)/(5x)=-8/5	$\frac{3 x - 7}{x} - \frac{2 x + 7}{5 x} = \frac{- 8}{5}$
222562	Simplify	(x^2+2xy+y^2)/(x/y-y/x)	$\frac{x^{2} + 2 x y + y^{2}}{\frac{x}{y} - \frac{y}{x}}$
222563	Graph	f(x)=- cube root of 2x^5	$f (x) = - \sqrt[3]{2 x^{5}}$
222564	Simplify	x/(y^3)+1/(x^2y^3)	$\frac{x}{y^{3}} + \frac{1}{x^{2} y^{3}}$
222565	Simplify	(-2x^2y^4)^2+(6x^3y^3)(2xy^5)	${(- 2 x^{2} y^{4})}^{2} + (6 x^{3} y^{3}) (2 x y^{5})$
222566	Find the Domain and Range	f(x)=6+3 square root of x+2	$f (x) = 6 + 3 \sqrt{x + 2}$
222567	Rationalize the Denominator	3/(8 square root of x^3)	$\frac{3}{8 \sqrt{x^{3}}}$
222568	Graph	y<=-x+4 , y=0 , x>=0	$y \leq - x + 4$ , $y = 0$ , $x \geq 0$
222569	Subtract	(-2x^2-2x+1)+(-8x^2-7)	$(- 2 x^{2} - 2 x + 1) + (- 8 x^{2} - 7)$
222570	Evaluate	(x^7)/(x^4)*x^2	$\frac{x^{7}}{x^{4}} \cdot x^{2}$
222571	Solve for u	-3/(u-2)=-6/(2u-4)+1	$- \frac{3}{u - 2} = - \frac{6}{2 u - 4} + 1$
222572	Solve for x	square root of 3x=1	$\sqrt{3 x} = 1$
222573	Solve for p	(2p-6)/4=(2p+3)/5	$\frac{2 p - 6}{4} = \frac{2 p + 3}{5}$
222574	Solve for x	cot(x)+ square root of 3=0	$\cot (x) + \sqrt{3} = 0$
222575	Find the Degree	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
222576	Write as a Single Logarithm	3 log base 2 of x- log base 2 of y+ log base 2 of z	$3 \log_{2} (x) - \log_{2} (y) + \log_{2} (z)$
222577	Graph	x+2y<2 3x-y>6	$x + 2 y < 2$ $3 x - y > 6$
222578	Combine Like Terms	(4r^3+3r^4)-(r^4-5r^3)	$(4 r^{3} + 3 r^{4}) - (r^{4} - 5 r^{3})$
222579	Find the Domain and Range	y=12/25arccsc(4x-4/7)	$y = \frac{12}{25} arccsc (4 x - \frac{4}{7})$
222580	Solve the Inequality for x	x/3<=1/2	$\frac{x}{3} \leq \frac{1}{2}$
222581	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 $3 x - 8$
222582	Solve the Rational Equation for x	x3/2=64	$x \frac{3}{2} = 64$
222583	Simplify	x/2+2/x	$\frac{x}{2} + \frac{2}{x}$
222584	Graph	M(s)=-5(s-4)(s-2)(s+1)(s+3)(s+5)	$M (s) = - 5 (s - 4) (s - 2) (s + 1) (s + 3) (s + 5)$
222585	Solve for x	128=4^(2x)*2^x	$128 = 4^{2 x} \cdot 2^{x}$
222586	Evaluate	(27^2)/27 4/3	$\frac{27^{2}}{27 \frac{4}{3}}$
222587	Write as a Single Logarithm	1/2* log base 2 of 9x^16-2/3* log base 2 of 8x^3	$\frac{1}{2} \cdot \log_{2} (9 x^{16}) - \frac{2}{3} \cdot \log_{2} (8 x^{3})$
222588	Solve the Inequality for x	-1<=(x-4)/4<1/2	$- 1 \leq \frac{x - 4}{4} < \frac{1}{2}$
222589	Simplify	5/(1/3x^(-2/3)+4)	$\frac{5}{\frac{1}{3} x^{- \frac{2}{3}} + 4}$
222590	Find the Roots (Zeros)	-3x(x+4)(3x+2)(x-9)	$- 3 x (x + 4) (3 x + 2) (x - 9)$
222591	Solve the Inequality for x	natural log of x<=9	$\ln (x) \leq 9$
222592	Find h(g(x))	g(x)=2x and h(x)=x^2+4	$g (x) = 2 x$ and $h (x) = x^{2} + 4$
222593	Simplify the Radical Expression	fourth root of (81a^12)/(625b^8)	$\sqrt[4]{\frac{81 a^{12}}{625 b^{8}}}$
222594	Solve for r	s=r(((1+i)^n-1)/i)	$s = r (\frac{{(1 + i)}^{n} - 1}{i})$
222595	Evaluate	square root of 99-2 square root of 27+4 square root of 3-6 square root of 176	$\sqrt{99} - 2 \sqrt{27} + 4 \sqrt{3} - 6 \sqrt{176}$
222596	Solve for x	Solve: 21=14+7x	Solve: $21 = 14 + 7 x$
222597	Solve for h	82h+9(-16h+70)=-44h-36	$82 h + 9 (- 16 h + 70) = - 44 h - 36$
222598	Solve for t	square root of 2sin(t)=2cos(t)sin(t)	$\sqrt{2} \sin (t) = 2 \cos (t) \sin (t)$
222599	Solve for x	(2x^2-5x+3)/(10x-5)=0	$\frac{2 x^{2} - 5 x + 3}{10 x - 5} = 0$
222600	Solve the Inequality for r	12>60-6r	$12 > 60 - 6 r$