Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212701	Solve for x	2(6x-3)^(1/3)-4=0	$2 {(6 x - 3)}^{\frac{1}{3}} - 4 = 0$
212702	Simplify the Radical Expression	square root of 4x^2+2x+1/4	$\sqrt{4 x^{2} + 2 x + \frac{1}{4}}$
212703	Simplify	2 3/4x-5/6(x-8 2/5)	$2 \frac{3}{4} x - \frac{5}{6} (x - 8 \frac{2}{5})$
212704	Solve for x	3/(5x)=1/x+3/10	$\frac{3}{5 x} = \frac{1}{x} + \frac{3}{10}$
212705	Simplify	(4x+6)/2+3	$\frac{4 x + 6}{2} + 3$
212706	Evaluate Using the Given Value	Evaluate 4x when x=1/4	Evaluate $4 x$ when $x = \frac{1}{4}$
212707	Evaluate	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
212708	Determine if True	(1+sin(theta))/(1-sin(theta))-(1-sin(theta))/(1+sin(theta))=4sin(theta)sec(theta)^2	$\frac{1 + \sin (θ)}{1 - \sin (θ)} - \frac{1 - \sin (θ)}{1 + \sin (θ)} = 4 \sin (θ) \sec^{2} (θ)$
212709	Solve for x	-7/6+(x+1)/x=1/(6x)	$\frac{- 7}{6} + \frac{x + 1}{x} = \frac{1}{6 x}$
212710	Find the Roots (Zeros)	x^3+x^2-2=0	$x^{3} + x^{2} - 2 = 0$
212711	Solve for R	s=R-rR	$s = R - r R$
212712	Find the Product	(x-y)(x^2-xy+y^2)	$(x - y) (x^{2} - x y + y^{2})$
212713	Solve for a	(3a-2)/-3=a/3	$\frac{3 a - 2}{- 3} = \frac{a}{3}$
212714	Describe the Transformation	y=(1/3)^(x-1)	$y = {(\frac{1}{3})}^{x - 1}$
212715	Simplify	square root of 1/(4x)	$\sqrt{\frac{1}{4 x}}$
212716	Solve for x	log of x = log of 3- log of x-2	$\log (x) = \log (3) - \log (x - 2)$
212717	Find the x and y Intercepts	y=x(2x-3)(4x+1)	$y = x (2 x - 3) (4 x + 1)$
212718	Simplify	-4/(-1- square root of 17)	$\frac{- 4}{- 1 - \sqrt{17}}$
212719	Simplify	(9x^-6)/(7y^0z^-8)	$\frac{9 x^{- 6}}{7 y^{0} z^{- 8}}$
212720	Simplify	((2vu^3)/(u^2v^3*u^3v^2))^-5	${(\frac{2 v u^{3}}{u^{2} v^{3} \cdot u^{3} v^{2}})}^{- 5}$
212721	Evaluate the Function	F(1)=3	$F (1) = 3$
212722	Simplify	(3^3*2^3)/6	$\frac{3^{3} \cdot 2^{3}}{6}$
212723	Evaluate	4(y-3)+19=8(2y+3)+7	$4 (y - 3) + 19 = 8 (2 y + 3) + 7$
212724	Solve the Inequality for n	-15<3n<=6	$- 15 < 3 n \leq 6$
212725	Graph	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
212726	Divide Using Synthetic Division	(2x^3-2)÷(x-5)	$(2 x^{3} - 2) \div (x - 5)$
212727	Simplify	(( square root of 5)/5+3/5i)^2	${(\frac{\sqrt{5}}{5} + \frac{3}{5} i)}^{2}$
212728	Solve the System of Inequalities	y<=1/4x+7 y<-5/2x-4	$y \leq \frac{1}{4} x + 7$ $y < - \frac{5}{2} x - 4$
212729	Find the Inverse	y=6^(x/4)	$y = 6^{\frac{x}{4}}$
212730	Simplify	6 square root of 3* square root of 3*4 square root of 4	$6 \sqrt{3} \cdot \sqrt{3} \cdot 4 \sqrt{4}$
212731	Simplify	(2^-33^-5)(2^43^3)	$(2^{- 3} \cdot 3^{- 5}) (2^{4} \cdot 3^{3})$
212732	Simplify	( square root of 25)/(3 square root of 9)	$\frac{\sqrt{25}}{3 \sqrt{9}}$
212733	Simplify	( square root of 36x^5y^2)/(4x^(1/2)y^4)	$\frac{\sqrt{36 x^{5} y^{2}}}{4 x^{\frac{1}{2}} y^{4}}$
212734	Solve for x	-7/8=-1/6-3/10x	$- \frac{7}{8} = - \frac{1}{6} - \frac{3}{10} x$
212735	Graph	y=x^2 and y=x^2-8	$y = x^{2}$ and $y = x^{2} - 8$
212736	Solve the Inequality for b	b/6>14	$\frac{b}{6} > 14$
212737	Simplify the Radical Expression	limit as x approaches -2 of ( cube root of x-6+2)/(x^3+8)	$lim_{x \to - 2} \frac{\sqrt[3]{x - 6} + 2}{x^{3} + 8}$
212738	Find the Product	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
212739	Simplify	(4x^-1y^2)^2	${(4 x^{- 1} y^{2})}^{2}$
212740	Simplify	3/(x^2+x-2)+-5/(x^2-x-6)	$\frac{3}{x^{2} + x - 2} + \frac{- 5}{x^{2} - x - 6}$
212741	Evaluate	5e^(2x+11)=30	$5 e^{2 x + 11} = 30$
212742	Simplify	square root of 2( square root of 10+ square root of 4)	$\sqrt{2} (\sqrt{10} + \sqrt{4})$
212743	Solve the Absolute Value Inequality for x	(5\|2x-4\|)/4=10	$\frac{5 \| 2 x - 4 \|}{4} = 10$
212744	Simplify	4t(3rt-r)	$4 t (3 r t - r)$
212745	Evaluate	(1/( cube root of -27))	$(\frac{1}{\sqrt[3]{- 27}})$
212746	Evaluate	1/4+1/x=1/5-3/x	$\frac{1}{4} + \frac{1}{x} = \frac{1}{5} - \frac{3}{x}$
212747	Solve the Inequality for x	-x^2-9x<3x+27	$- x^{2} - 9 x < 3 x + 27$
212748	Simplify	6/6 1/4	$\frac{6}{6 \frac{1}{4}}$
212749	Divide	(5-8i)/(3+2i)	$\frac{5 - 8 i}{3 + 2 i}$
212750	Solve the Inequality for x	6x-2-3x+9>16	$6 x - 2 - 3 x + 9 > 16$
212751	Solve the System of Equations	y=1/3x+2 x-3y=6	$y = \frac{1}{3} x + 2$ $x - 3 y = 6$
212752	Simplify	1/(512^(-1/3))	$\frac{1}{512^{- \frac{1}{3}}}$
212753	Solve the Inequality for x	(x^2+12x)/(x-3)>=4	$\frac{x^{2} + 12 x}{x - 3} \geq 4$
212754	Solve the System of Equations	y=x^2 y=-2x+1	$y = x^{2}$ $y = - 2 x + 1$
212755	Solve for w	-30w+49.5=-33.5w-48+13.5	$- 30 w + 49.5 = - 33.5 w - 48 + 13.5$
212756	Simplify	fourth root of 256x^4* cube root of 27x	$\sqrt[4]{256 x^{4}} \cdot \sqrt[3]{27 x}$
212757	Simplify	((2x^3y^2)/(x^2))^2	${(\frac{2 x^{3} y^{2}}{x^{2}})}^{2}$
212758	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5+2x^2-3x^4-2x-x^3	$f (x) = 5 + 2 x^{2} - 3 x^{4} - 2 x - x^{3}$
212759	Find the Roots (Zeros)	x(x+3)(x-2)	$x (x + 3) (x - 2)$
212760	Simplify the Radical Expression	cube root of a^2b^3	$\sqrt[3]{a^{2} b^{3}}$
212761	Solve for x	cube root of 7x = cube root of 15x-40	$\sqrt[3]{7 x} = \sqrt[3]{15 x - 40}$
212762	Solve for x	x+3+x-8+x=55	$x + 3 + x - 8 + x = 55$
212763	Multiply	(x^2-1)3x-(x^2-2)2x	$(x^{2} - 1) \cdot 3 x - (x^{2} - 2) \cdot 2 x$
212764	Evaluate	square root of 39y^9	$\sqrt{39 y^{9}}$
212765	Graph	Find x	Find $x$
212766	Simplify the Radical Expression	2 square root of 8b^3*9 square root of 18b	$2 \sqrt{8 b^{3}} \cdot 9 \sqrt{18 b}$
212767	Evaluate Using the Given Value	4.39x-x^2 if x=3.39	$4.39 x - x^{2}$ if $x = 3.39$
212768	Solve Over the Interval	9cos(x)^2+6cos(x)-8=0 , 0<=x<=2pi	$9 \cos^{2} (x) + 6 \cos (x) - 8 = 0$ , $0 \leq x \leq 2 π$
212769	Solve for x	-4/7(x-1/4)=3/7	$- \frac{4}{7} (x - \frac{1}{4}) = \frac{3}{7}$
212770	Simplify	(5x^2-10xy+5y^2)/(x^2-y^2)	$\frac{5 x^{2} - 10 x y + 5 y^{2}}{x^{2} - y^{2}}$
212771	Simplify	5^(2- log base 5 of 5)	$5^{2 - \log_{5} (5)}$
212772	Simplify	(2/9v)-(-1/3v+5/9)	$(\frac{2}{9} v) - (- \frac{1}{3} v + \frac{5}{9})$
212773	Simplify the Radical Expression	(3 cube root of 12)÷2 cube root of 3	$3 \sqrt[3]{12} \div 2 \sqrt[3]{3}$
212774	Solve for n	3n(n+2)=0	$3 n (n + 2) = 0$
212775	Solve for x	x/2-(7x)/9=1/6	$\frac{x}{2} - \frac{7 x}{9} = \frac{1}{6}$
212776	Simplify	7x^2-y+4(x^3+9y)	$7 x^{2} - y + 4 (x^{3} + 9 y)$
212777	Simplify	2/3m^-1n^5	$\frac{2}{3} m^{- 1} n^{5}$
212778	Solve the System of Equations	x-y-z=4 2x+y+3z=9 -3x-2y+4z=-23	$x - y - z = 4$ $2 x + y + 3 z = 9$ $- 3 x - 2 y + 4 z = - 23$
212779	Divide	(4y^2-4y+1)/(2y-1)	$\frac{4 y^{2} - 4 y + 1}{2 y - 1}$
212780	Solve the Inequality for z	-6z>=36	$- 6 z \geq 36$
212781	Find the x and y Intercepts	P(x)=3x	$P (x) = 3 x$
212782	Simplify	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
212783	Simplify	(8r)/(r^2-1)-(7r+1)/(r^2-2r+1)	$\frac{8 r}{r^{2} - 1} - \frac{7 r + 1}{r^{2} - 2 r + 1}$
212784	Simplify	((x^-5y^3)^-2)/((2x^-2y^2)^-3)	$\frac{{(x^{- 5} y^{3})}^{- 2}}{{(2 x^{- 2} y^{2})}^{- 3}}$
212785	Simplify	(3^(-6/5)*3^(9/5))^(-3/2)	${(3^{- \frac{6}{5}} \cdot 3^{\frac{9}{5}})}^{- \frac{3}{2}}$
212786	Solve for x	(2x-7)(x^2-4x+4)>0	$(2 x - 7) (x^{2} - 4 x + 4) > 0$
212787	Evaluate	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
212788	Graph	{(x,y)\|x>=1}	${(x, y) \| x \geq 1}$
212789	Solve for x	(2/3)^(x-2)=8/27	${(\frac{2}{3})}^{x - 2} = \frac{8}{27}$
212790	Simplify the Radical Expression	fourth root of 16x^3	$\sqrt[4]{16 x^{3}}$
212791	Write in Slope-Intercept Form	y+3=x	$y + 3 = x$
212792	Factor	x^2-y^2+2yz-z^2	$x^{2} - y^{2} + 2 y z - z^{2}$
212793	Find the Product	square root of b* square root of b	$\sqrt{b} \cdot \sqrt{b}$
212794	Find All Complex Solutions	5(x-3)-3x=8x-15-6x	$5 (x - 3) - 3 x = 8 x - 15 - 6 x$
212795	Solve for x	5/(x+9)+(x+7)/(x-9)=(2x)/(x-9)	$\frac{5}{x + 9} + \frac{x + 7}{x - 9} = \frac{2 x}{x - 9}$
212796	Solve for x	arccot( square root of x)+arctan(x)=pi/2	$arccot (\sqrt{x}) + \arctan (x) = \frac{π}{2}$
212797	Simplify	(1-6x)(x^2-4)	$(1 - 6 x) (x^{2} - 4)$
212798	Evaluate	2*1+3^2-6÷2	$2 \times 1 + 3^{2} - 6 \div 2$
212799	Simplify	cube root of 32p^10-9p^2 cube root of 4p^4	$\sqrt[3]{32 p^{10}} - 9 p^{2} \sqrt[3]{4 p^{4}}$
212800	Simplify the Radical Expression	square root of -3* square root of -12	$\sqrt{- 3} \cdot \sqrt{- 12}$