Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212701	Solve for x	log of x = log of 3- log of x-2	$\log (x) = \log (3) - \log (x - 2)$
212702	Find the x and y Intercepts	y=x(2x-3)(4x+1)	$y = x (2 x - 3) (4 x + 1)$
212703	Simplify	-4/(-1- square root of 17)	$\frac{- 4}{- 1 - \sqrt{17}}$
212704	Simplify	(9x^-6)/(7y^0z^-8)	$\frac{9 x^{- 6}}{7 y^{0} z^{- 8}}$
212705	Simplify	((2vu^3)/(u^2v^3*u^3v^2))^-5	${(\frac{2 v u^{3}}{u^{2} v^{3} \cdot u^{3} v^{2}})}^{- 5}$
212706	Evaluate the Function	F(1)=3	$F (1) = 3$
212707	Simplify	(3^3*2^3)/6	$\frac{3^{3} \cdot 2^{3}}{6}$
212708	Evaluate	4(y-3)+19=8(2y+3)+7	$4 (y - 3) + 19 = 8 (2 y + 3) + 7$
212709	Solve the Inequality for n	-15<3n<=6	$- 15 < 3 n \leq 6$
212710	Graph	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
212711	Divide Using Synthetic Division	(2x^3-2)÷(x-5)	$(2 x^{3} - 2) \div (x - 5)$
212712	Simplify	(( square root of 5)/5+3/5i)^2	${(\frac{\sqrt{5}}{5} + \frac{3}{5} i)}^{2}$
212713	Solve the System of Inequalities	y<=1/4x+7 y<-5/2x-4	$y \leq \frac{1}{4} x + 7$ $y < - \frac{5}{2} x - 4$
212714	Find the Inverse	y=6^(x/4)	$y = 6^{\frac{x}{4}}$
212715	Simplify	6 square root of 3* square root of 3*4 square root of 4	$6 \sqrt{3} \cdot \sqrt{3} \cdot 4 \sqrt{4}$
212716	Simplify	(2^-33^-5)(2^43^3)	$(2^{- 3} \cdot 3^{- 5}) (2^{4} \cdot 3^{3})$
212717	Simplify	( square root of 25)/(3 square root of 9)	$\frac{\sqrt{25}}{3 \sqrt{9}}$
212718	Simplify	( square root of 36x^5y^2)/(4x^(1/2)y^4)	$\frac{\sqrt{36 x^{5} y^{2}}}{4 x^{\frac{1}{2}} y^{4}}$
212719	Solve for x	-7/8=-1/6-3/10x	$- \frac{7}{8} = - \frac{1}{6} - \frac{3}{10} x$
212720	Graph	y=x^2 and y=x^2-8	$y = x^{2}$ and $y = x^{2} - 8$
212721	Solve the Inequality for b	b/6>14	$\frac{b}{6} > 14$
212722	Simplify the Radical Expression	limit as x approaches -2 of ( cube root of x-6+2)/(x^3+8)	$lim_{x \to - 2} \frac{\sqrt[3]{x - 6} + 2}{x^{3} + 8}$
212723	Find the Product	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
212724	Simplify	(4x^-1y^2)^2	${(4 x^{- 1} y^{2})}^{2}$
212725	Simplify	3/(x^2+x-2)+-5/(x^2-x-6)	$\frac{3}{x^{2} + x - 2} + \frac{- 5}{x^{2} - x - 6}$
212726	Evaluate	5e^(2x+11)=30	$5 e^{2 x + 11} = 30$
212727	Simplify	square root of 2( square root of 10+ square root of 4)	$\sqrt{2} (\sqrt{10} + \sqrt{4})$
212728	Solve the Absolute Value Inequality for x	(5\|2x-4\|)/4=10	$\frac{5 \| 2 x - 4 \|}{4} = 10$
212729	Simplify	4t(3rt-r)	$4 t (3 r t - r)$
212730	Evaluate	(1/( cube root of -27))	$(\frac{1}{\sqrt[3]{- 27}})$
212731	Evaluate	1/4+1/x=1/5-3/x	$\frac{1}{4} + \frac{1}{x} = \frac{1}{5} - \frac{3}{x}$
212732	Solve the Inequality for x	-x^2-9x<3x+27	$- x^{2} - 9 x < 3 x + 27$
212733	Simplify	6/6 1/4	$\frac{6}{6 \frac{1}{4}}$
212734	Divide	(5-8i)/(3+2i)	$\frac{5 - 8 i}{3 + 2 i}$
212735	Solve the Inequality for x	6x-2-3x+9>16	$6 x - 2 - 3 x + 9 > 16$
212736	Solve the System of Equations	y=1/3x+2 x-3y=6	$y = \frac{1}{3} x + 2$ $x - 3 y = 6$
212737	Simplify	1/(512^(-1/3))	$\frac{1}{512^{- \frac{1}{3}}}$
212738	Solve the Inequality for x	(x^2+12x)/(x-3)>=4	$\frac{x^{2} + 12 x}{x - 3} \geq 4$
212739	Solve the System of Equations	y=x^2 y=-2x+1	$y = x^{2}$ $y = - 2 x + 1$
212740	Solve for w	-30w+49.5=-33.5w-48+13.5	$- 30 w + 49.5 = - 33.5 w - 48 + 13.5$
212741	Simplify	fourth root of 256x^4* cube root of 27x	$\sqrt[4]{256 x^{4}} \cdot \sqrt[3]{27 x}$
212742	Simplify	((2x^3y^2)/(x^2))^2	${(\frac{2 x^{3} y^{2}}{x^{2}})}^{2}$
212743	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5+2x^2-3x^4-2x-x^3	$f (x) = 5 + 2 x^{2} - 3 x^{4} - 2 x - x^{3}$
212744	Find the Roots (Zeros)	x(x+3)(x-2)	$x (x + 3) (x - 2)$
212745	Simplify the Radical Expression	cube root of a^2b^3	$\sqrt[3]{a^{2} b^{3}}$
212746	Solve for x	cube root of 7x = cube root of 15x-40	$\sqrt[3]{7 x} = \sqrt[3]{15 x - 40}$
212747	Solve for x	x+3+x-8+x=55	$x + 3 + x - 8 + x = 55$
212748	Multiply	(x^2-1)3x-(x^2-2)2x	$(x^{2} - 1) \cdot 3 x - (x^{2} - 2) \cdot 2 x$
212749	Evaluate	square root of 39y^9	$\sqrt{39 y^{9}}$
212750	Graph	Find x	Find $x$
212751	Simplify the Radical Expression	2 square root of 8b^3*9 square root of 18b	$2 \sqrt{8 b^{3}} \cdot 9 \sqrt{18 b}$
212752	Evaluate Using the Given Value	4.39x-x^2 if x=3.39	$4.39 x - x^{2}$ if $x = 3.39$
212753	Solve Over the Interval	9cos(x)^2+6cos(x)-8=0 , 0<=x<=2pi	$9 \cos^{2} (x) + 6 \cos (x) - 8 = 0$ , $0 \leq x \leq 2 π$
212754	Solve for x	-4/7(x-1/4)=3/7	$- \frac{4}{7} (x - \frac{1}{4}) = \frac{3}{7}$
212755	Simplify	(5x^2-10xy+5y^2)/(x^2-y^2)	$\frac{5 x^{2} - 10 x y + 5 y^{2}}{x^{2} - y^{2}}$
212756	Simplify	5^(2- log base 5 of 5)	$5^{2 - \log_{5} (5)}$
212757	Simplify	(2/9v)-(-1/3v+5/9)	$(\frac{2}{9} v) - (- \frac{1}{3} v + \frac{5}{9})$
212758	Simplify the Radical Expression	(3 cube root of 12)÷2 cube root of 3	$3 \sqrt[3]{12} \div 2 \sqrt[3]{3}$
212759	Solve for n	3n(n+2)=0	$3 n (n + 2) = 0$
212760	Solve for x	x/2-(7x)/9=1/6	$\frac{x}{2} - \frac{7 x}{9} = \frac{1}{6}$
212761	Simplify	7x^2-y+4(x^3+9y)	$7 x^{2} - y + 4 (x^{3} + 9 y)$
212762	Simplify	2/3m^-1n^5	$\frac{2}{3} m^{- 1} n^{5}$
212763	Solve the System of Equations	x-y-z=4 2x+y+3z=9 -3x-2y+4z=-23	$x - y - z = 4$ $2 x + y + 3 z = 9$ $- 3 x - 2 y + 4 z = - 23$
212764	Divide	(4y^2-4y+1)/(2y-1)	$\frac{4 y^{2} - 4 y + 1}{2 y - 1}$
212765	Solve the Inequality for z	-6z>=36	$- 6 z \geq 36$
212766	Find the x and y Intercepts	P(x)=3x	$P (x) = 3 x$
212767	Simplify	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
212768	Simplify	(8r)/(r^2-1)-(7r+1)/(r^2-2r+1)	$\frac{8 r}{r^{2} - 1} - \frac{7 r + 1}{r^{2} - 2 r + 1}$
212769	Simplify	((x^-5y^3)^-2)/((2x^-2y^2)^-3)	$\frac{{(x^{- 5} y^{3})}^{- 2}}{{(2 x^{- 2} y^{2})}^{- 3}}$
212770	Simplify	(3^(-6/5)*3^(9/5))^(-3/2)	${(3^{- \frac{6}{5}} \cdot 3^{\frac{9}{5}})}^{- \frac{3}{2}}$
212771	Solve for x	(2x-7)(x^2-4x+4)>0	$(2 x - 7) (x^{2} - 4 x + 4) > 0$
212772	Evaluate	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
212773	Graph	{(x,y)\|x>=1}	${(x, y) \| x \geq 1}$
212774	Solve for x	(2/3)^(x-2)=8/27	${(\frac{2}{3})}^{x - 2} = \frac{8}{27}$
212775	Simplify the Radical Expression	fourth root of 16x^3	$\sqrt[4]{16 x^{3}}$
212776	Write in Slope-Intercept Form	y+3=x	$y + 3 = x$
212777	Factor	x^2-y^2+2yz-z^2	$x^{2} - y^{2} + 2 y z - z^{2}$
212778	Find the Product	square root of b* square root of b	$\sqrt{b} \cdot \sqrt{b}$
212779	Find All Complex Solutions	5(x-3)-3x=8x-15-6x	$5 (x - 3) - 3 x = 8 x - 15 - 6 x$
212780	Solve for x	5/(x+9)+(x+7)/(x-9)=(2x)/(x-9)	$\frac{5}{x + 9} + \frac{x + 7}{x - 9} = \frac{2 x}{x - 9}$
212781	Solve for x	arccot( square root of x)+arctan(x)=pi/2	$arccot (\sqrt{x}) + \arctan (x) = \frac{π}{2}$
212782	Simplify	(1-6x)(x^2-4)	$(1 - 6 x) (x^{2} - 4)$
212783	Evaluate	2*1+3^2-6÷2	$2 \times 1 + 3^{2} - 6 \div 2$
212784	Simplify	cube root of 32p^10-9p^2 cube root of 4p^4	$\sqrt[3]{32 p^{10}} - 9 p^{2} \sqrt[3]{4 p^{4}}$
212785	Simplify the Radical Expression	square root of -3* square root of -12	$\sqrt{- 3} \cdot \sqrt{- 12}$
212786	Solve for d	3=54d^(3/2)	$3 = 54 d^{\frac{3}{2}}$
212787	Simplify	(8+5i)(3+2i)-(4+i)(4-i)	$(8 + 5 i) (3 + 2 i) - (4 + i) (4 - i)$
212788	Solve the Inequality for x	x^2-1>7x+7	$x^{2} - 1 > 7 x + 7$
212789	Divide	((x-4)/(x+3))÷((x^2-16)/(x^2+6x+9))	$\frac{x - 4}{x + 3} \div \frac{x^{2} - 16}{x^{2} + 6 x + 9}$
212790	Graph	Graph -7x+5y=35	Graph $- 7 x + 5 y = 35$
212791	Multiply	(5x+2y)(x^2-3xy+6)	$(5 x + 2 y) (x^{2} - 3 x y + 6)$
212792	Solve for d	17+d+19=6(-2d-20)	$17 + d + 19 = 6 (- 2 d - 20)$
212793	Convert to a Simplified Fraction	(4^11)/(4^-8)	$\frac{4^{11}}{4^{- 8}}$
212794	Find the Exact Value	csc(660 degrees )	$\csc (660 °)$
212795	Find the Degree, Leading Term, and Leading Coefficient	f(x)=1+2x^2	$f (x) = 1 + 2 x^{2}$
212796	Solve the Inequality for x	-4x^2+7>=5x+1	$- 4 x^{2} + 7 \geq 5 x + 1$
212797	Solve for x	x+x-(-3)=12	$x + x - (- 3) = 12$
212798	Solve the System of Equations	2x-3y+10z=-83 12y+5z=-23 -3y+2z=-17	$2 x - 3 y + 10 z = - 83$ $12 y + 5 z = - 23$ $- 3 y + 2 z = - 17$
212799	Solve for k	740/7608.9=18.1/k0.0821*295	$\frac{740}{760} \times 8.9 = \frac{18.1}{k} \times 0.0821 \times 295$
212800	Solve the System of Inequalities	y<3x+12 y>=5x+7	$y < 3 x + 12$ $y \geq 5 x + 7$