Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229701	Simplify	((a+b)^3)/18*2/((a+b)^2)	$\frac{{(a + b)}^{3}}{18} \cdot \frac{2}{{(a + b)}^{2}}$
229702	Find the x and y Intercepts	f(x)=-(x+4)/(x-2)	$f (x) = - \frac{x + 4}{x - 2}$
229703	Determine if True	cot(theta)+tan(theta)=sec(theta)csc(theta)	$\cot (θ) + \tan (θ) = \sec (θ) \csc (θ)$
229704	Solve for F	(5F+8)/G=(3R-1)/S	$\frac{5 F + 8}{G} = \frac{3 R - 1}{S}$
229705	Graph	x<=-1 or x>=3	$x \leq - 1$ or $x \geq 3$
229706	Find the Exact Value	( fourth root of 187)^3	${(\sqrt[4]{187})}^{3}$
229707	Solve for x	20x-14-11x=8-6x+2	$20 x - 14 - 11 x = 8 - 6 x + 2$
229708	Simplify	-(3(y^-2)^3)/(5y^2)	$- \frac{3 {(y^{- 2})}^{3}}{5 y^{2}}$
229709	Simplify	fifth root of 72i^4b^3 fifth root of 216i^8b^11	$\sqrt[5]{72 i^{4} b^{3}} \sqrt[5]{216 i^{8} b^{11}}$
229710	Solve for n	log base 4 of n=1/4 log base 4 of 81+1/2 log base 4 of 25	$\log_{4} (n) = \frac{1}{4} \log_{4} (81) + \frac{1}{2} \log_{4} (25)$
229711	Solve for m	-1+m^2=3	$- 1 + m^{2} = 3$
229712	Evaluate	254+(5^28)-1	$25 \cdot 4 + (5^{2} \cdot 8) - 1$
229713	Convert to Radical Form	(7xy)2/3	$(7 x y) \frac{2}{3}$
229714	Simplify	(4^0)(5^-5)(100)^0(1/(2^-1))	$(4^{0}) (5^{- 5}) {(100)}^{0} (\frac{1}{2^{- 1}})$
229715	Find the LCM	x^2-9 and x^2-5x+6	$x^{2} - 9$ and $x^{2} - 5 x + 6$
229716	Graph	g<-3 or g>=4	$g < - 3$ or $g \geq 4$
229717	Multiply	4a(8a-8b)	$4 a (8 a - 8 b)$
229718	Simplify	square root of xy^5z^20	$\sqrt{x y^{5}} z^{20}$
229719	Evaluate	x^2*x^(1/2)	$x^{2} \cdot x^{\frac{1}{2}}$
229720	Find the Domain and Range	y=1/3cos(3x)	$y = \frac{1}{3} \cos (3 x)$
229721	Simplify	((x+2)/(x^2-6x-16))÷(1/(9x))	$\frac{x + 2}{x^{2} - 6 x - 16} \div \frac{1}{9 x}$
229722	Simplify	x^a(1+x^b)	$x^{a} (1 + x^{b})$
229723	Simplify	(8x+y)(x-8y)-(x+8y)(8x-y)	$(8 x + y) (x - 8 y) - (x + 8 y) (8 x - y)$
229724	Evaluate	10-8÷2-2^2	$10 - 8 \div 2 - 2^{2}$
229725	Solve for y	y=1/4(-2)^2	$y = \frac{1}{4} {(- 2)}^{2}$
229726	Solve for x	(x^2+4)=0	$(x^{2} + 4) = 0$
229727	Simplify	x square root of 3(x square root of 6-2x+ square root of 3)	$x \sqrt{3} (x \sqrt{6} - 2 x + \sqrt{3})$
229728	Simplify	36÷2-(81÷(3^2))	$36 \div 2 - (81 \div 3^{2})$
229729	Write in Standard Form	-6x+x^2=97+10y-y^2	$- 6 x + x^{2} = 97 + 10 y - y^{2}$
229730	Find the Domain and Range	(x)=\|x\|	$(x) = \| x \|$
229731	Find the LCD	9/(x+8) and 7/(x-8)	$\frac{9}{x + 8}$ and $\frac{7}{x - 8}$
229732	Simplify	(3x^2y^2)^(1/2)	${(3 x^{2} y^{2})}^{\frac{1}{2}}$
229733	Graph	y>=-2x+1/2	$y \geq - 2 x + \frac{1}{2}$
229734	Graph	y>=1/3x+2 and y<=2x+3	$y \geq \frac{1}{3} x + 2$ and $y \leq 2 x + 3$
229735	Simplify	(2 square root of 3+ square root of 2)÷( square root of 6)	$(2 \sqrt{3} + \sqrt{2}) \div \sqrt{6}$
229736	Solve for w	0=w-13	$0 = w - 13$
229737	Simplify	Simplify square root of 2/(7b)	Simplify $\sqrt{\frac{2}{7 b}}$
229738	Solve the Inequality for k	14-4k<38	$14 - 4 k < 38$
229739	Simplify	2-x+1/x	$2 - x + \frac{1}{x}$
229740	Solve for y	x-3(y+2)=6	$x - 3 (y + 2) = 6$
229741	Simplify the Radical Expression	square root of 100- square root of -49- square root of 81+ square root of -36	$\sqrt{100} - \sqrt{- 49} - \sqrt{81} + \sqrt{- 36}$
229742	Solve the Inequality for y	4^y<5^(2y+1)	$4^{y} < 5^{2 y + 1}$
229743	Evaluate	pi*2pi	$π \cdot 2 π$
229744	Solve the System of Equations	1/6x-1/3y=-2 1/2x+3/5y=2	$\frac{1}{6} x - \frac{1}{3} y = - 2$ $\frac{1}{2} x + \frac{3}{5} y = 2$
229745	Solve the Inequality for x	-x^2(3-x)^3(x+2)>0	$- x^{2} {(3 - x)}^{3} (x + 2) > 0$
229746	Simplify	11x+2x^2-(-7x-3x^2+4)	$11 x + 2 x^{2} - (- 7 x - 3 x^{2} + 4)$
229747	Find the Domain and Range	f(theta)=-5cot(2pitheta+pi)	$f (θ) = - 5 \cot (2 π θ + π)$
229748	Graph	\|y\|	$\| y \|$
229749	Solve for x	-3/4(16x+8)=19-(10x-3)	$- \frac{3}{4} (16 x + 8) = 19 - (10 x - 3)$
229750	Simplify	3x(2x^2-4x+2)-(5x^2-7x-8)	$3 x (2 x^{2} - 4 x + 2) - (5 x^{2} - 7 x - 8)$
229751	Find the Domain and Range	x=1/x	$x = \frac{1}{x}$
229752	Evaluate	log base b of ( square root of x)/( cube root of z)	$\log_{b} (\frac{\sqrt{x}}{\sqrt[3]{z}})$
229753	Evaluate	(2^-7*2^6)/(2^0)	$\frac{2^{- 7} \cdot 2^{6}}{2^{0}}$
229754	Simplify	( fourth root of 3)÷( cube root of 3)	$\sqrt[4]{3} \div \sqrt[3]{3}$
229755	Solve for c	c=( cube root of 107.7)^3	$c = {(\sqrt[3]{107.7})}^{3}$
229756	Solve for x	-12=11x^2+28x	$- 12 = 11 x^{2} + 28 x$
229757	Solve the Inequality for x	5\|x-3\|<35	$5 \| x - 3 \| < 35$
229758	Find the Exact Value	sec(690 degrees )	$\sec (690 °)$
229759	Simplify	(x^5x^(4/5))/(x^(2/5)x)	$\frac{x^{5} \cdot x^{\frac{4}{5}}}{x^{\frac{2}{5}} \cdot x}$
229760	Solve for x	3x^2-12x+11=x	$3 x^{2} - 12 x + 11 = x$
229761	Simplify the Radical Expression	square root of 400/5	$\sqrt{\frac{400}{5}}$
229762	Find the Product	x(x+1)	$x (x + 1)$
229763	Simplify the Radical Expression	( square root of 8)/(2 square root of 14)	$\frac{\sqrt{8}}{2 \sqrt{14}}$
229764	Evaluate	(1/6(2)^6+1/3(2)^3-(1/6(0)^6+1/3(0)^3))	$(\frac{1}{6} {(2)}^{6} + \frac{1}{3} {(2)}^{3} - (\frac{1}{6} {(0)}^{6} + \frac{1}{3} {(0)}^{3}))$
229765	Graph	f(x)=(3x^2-6x-24)/(2x^2-8)	$f (x) = \frac{3 x^{2} - 6 x - 24}{2 x^{2} - 8}$
229766	Graph	y<1/2x+4 x-2y>=6	$y < \frac{1}{2} x + 4$ $x - 2 y \geq 6$
229767	Find the Inverse	f(x)=9((x^7)/4)^(1/5)	$f (x) = 9 {(\frac{x^{7}}{4})}^{\frac{1}{5}}$
229768	Solve for x	1/2-sin(x)=0	$\frac{1}{2} - \sin (x) = 0$
229769	Solve the Rational Equation for x	3^(2x-1)-4*3^x+9=0	$3^{2 x - 1} - 4 \cdot 3^{x} + 9 = 0$
229770	Find the GCF	10x^3y^2-2xy^2+14xy	$10 x^{3} y^{2} - 2 x y^{2} + 14 x y$
229771	Graph	2x-y<3 y>=3/2x+1	$2 x - y < 3$ $y \geq \frac{3}{2} x + 1$
229772	Graph	f(x)=(x+3)(x-5)(x+7)^2(x-2)^2	$f (x) = (x + 3) (x - 5) {(x + 7)}^{2} {(x - 2)}^{2}$
229773	Solve the Inequality for h	-4(h-10)<7h(2+3)	$- 4 (h - 10) < 7 h (2 + 3)$
229774	Multiply	4 1/2312 1/2	$4 \frac{1}{2} \cdot 3 \cdot 12 \frac{1}{2}$
229775	Solve the System of Equations	x-y-2z=-2 2x-y+z=-1 -7x+5y+4z=8	$x - y - 2 z = - 2$ $2 x - y + z = - 1$ $- 7 x + 5 y + 4 z = 8$
229776	Simplify	9- cube root of 4k( cube root of 2k+ cube root of 2k^2)	$9 - \sqrt[3]{4 k} (\sqrt[3]{2 k} + \sqrt[3]{2 k^{2}})$
229777	Find the Inverse	A(b)=12*(b+9)/2	$A (b) = 12 \cdot \frac{b + 9}{2}$
229778	Solve for a	a^0=1	$a^{0} = 1$
229779	Divide	(a^4-a)/(a+1)	$\frac{a^{4} - a}{a + 1}$
229780	Determine if True	1-cos(theta)^2=sin(theta)^2	$1 - \cos^{2} (θ) = \sin^{2} (θ)$
229781	Factor	4x^2-y^2+6y-9	$4 x^{2} - y^{2} + 6 y - 9$
229782	Find the Domain and Range	f(x)=arcsin(sin(x))	$f (x) = \arcsin (\sin (x))$
229783	Graph	-1<=(v-2)/21	$- 1 \leq \frac{v - 2}{21}$
229784	Solve for X	3 log base 3 of X=- log base 3 of 27	$3 \log_{3} (X) = - \log_{3} (27)$
229785	Find the Equation Using Point-Slope Formula	(8,-8) and (9,8)	$(8, - 8)$ and $(9, 8)$
229786	Solve the System of Equations	3x-y=-4 2y=6x+2	$3 x - y = - 4$ $2 y = 6 x + 2$
229787	Write as a Single Logarithm	2* log of 6- log of 9	$2 \cdot \log (6) - \log (9)$
229788	Simplify	(a^2-2a-a^(1/2))/(a^(1/2))	$\frac{a^{2} - 2 a - a^{\frac{1}{2}}}{a^{\frac{1}{2}}}$
229789	Simplify	x/4+1/(3x^2)	$\frac{x}{4} + \frac{1}{3 x^{2}}$
229790	Find the Exact Value	(tan(45 degrees )+tan(30 degrees ))/(1-tan(45 degrees )tan(30 degrees ))	$\frac{\tan (45 °) + \tan (30 °)}{1 - \tan (45 °) \tan (30 °)}$
229791	Solve the System of Equations	x^2=2y^2+18 x^2-3y^2=9	$x^{2} = 2 y^{2} + 18$ $x^{2} - 3 y^{2} = 9$
229792	Simplify	(1+ square root of 5)/(5+ square root of 5)	$\frac{1 + \sqrt{5}}{5 + \sqrt{5}}$
229793	Simplify	-3 square root of -49+ cube root of -729+ square root of -4-3 cube root of -64	$- 3 \sqrt{- 49} + \sqrt[3]{- 729} + \sqrt{- 4} - 3 \sqrt[3]{- 64}$
229794	Describe the Transformation	h(x)=1/5f(x)	$h (x) = \frac{1}{5} f (x)$
229795	Simplify	(2x^4y^3)/(8xy^2z^2)	$\frac{2 x^{4} y^{3}}{8 x y^{2} z^{2}}$
229796	Simplify	(2x^5-3x^2+4)-(x^5+2x^2+7)	$(2 x^{5} - 3 x^{2} + 4) - (x^{5} + 2 x^{2} + 7)$
229797	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,-8) and has a slope of -2 ?	What is the equation of the line that passes through the point $(8, - 8)$ and has a slope of $- 2$ ?
229798	Solve for h	3(h-2)+1=h+4+2h	$3 (h - 2) + 1 = h + 4 + 2 h$
229799	Solve for k	log base 5 of 3k+12=3/4*( log base 5 of 405- log base 5 of 5)	$\log_{5} (3 k + 12) = \frac{3}{4} \cdot (\log_{5} (405) - \log_{5} (5))$
229800	Graph	f(x)=(1+1/x)^x	$f (x) = {(1 + \frac{1}{x})}^{x}$