Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232601	Subtract	9/(5x)-2/(5x^2)	$\frac{9}{5 x} - \frac{2}{5 x^{2}}$
232602	Multiply	(a^2+b)(a+b^2)	$(a^{2} + b) (a + b^{2})$
232603	Solve for b	4=(12b+8)/(b+24)	$4 = \frac{12 b + 8}{b + 24}$
232604	Solve for x	3/(2-x)=2/(8+x)	$\frac{3}{2 - x} = \frac{2}{8 + x}$
232605	Solve for x	y = square root of (x+1)/(x-4)	$y = \sqrt{\frac{x + 1}{x - 4}}$
232606	Factor	x^8-17x^4+16	$x^{8} - 17 x^{4} + 16$
232607	Solve for t	t-5<=-7	$t - 5 \leq - 7$
232608	Graph	2y=(x-3)^2	$2 y = {(x - 3)}^{2}$
232609	Solve for a	a^2+b^2=10^2	$a^{2} + b^{2} = 10^{2}$
232610	Convert to Logarithmic Form	y=4^(1-x)	$y = 4^{1 - x}$
232611	Simplify	(22/54)/(110/(22s))	$\frac{\frac{22}{54}}{\frac{110}{22 s}}$
232612	Simplify	4x^2+3y^2-4y+5y^2+5x^2	$4 x^{2} + 3 y^{2} - 4 y + 5 y^{2} + 5 x^{2}$
232613	Graph	y<=1/3x-2 y<=-x+2	$y \leq \frac{1}{3} x - 2$ $y \leq - x + 2$
232614	Graph	y>=3x 2x+y<3-y	$y \geq 3 x$ $2 x + y < 3 - y$
232615	Solve for x	0=-sin(x)-cos(x)	$0 = - \sin (x) - \cos (x)$
232616	Multiply	(2- square root of 3)^2	${(2 - \sqrt{3})}^{2}$
232617	Simplify the Radical Expression	square root of cube root of (x^5y^-8)^2	$\sqrt{\sqrt[3]{{(x^{5} y^{- 8})}^{2}}}$
232618	Simplify	(1/2-x^2)^3	${(\frac{1}{2} - x^{2})}^{3}$
232619	Evaluate	\|x\|=0	$\| x \| = 0$
232620	Evaluate Using Scientific Notation	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \times 10^{- 5})}{(7.8 \times 10^{- 8})}$
232621	Find the Degree	ay*(a^3+4y^4)	$a y \cdot (a^{3} + 4 y^{4})$
232622	Convert to Interval Notation	{x\|-4>x>-8}	${x \| - 4 > x > - 8}$
232623	Evaluate	(2-3/2)/(1/2)	$\frac{2 - \frac{3}{2}}{\frac{1}{2}}$
232624	Simplify	4x(2y)+3y(2-x)	$4 x (2 y) + 3 y (2 - x)$
232625	Simplify the Radical Expression	square root of 9- square root of -128+ square root of 36- square root of -32	$\sqrt{9} - \sqrt{- 128} + \sqrt{36} - \sqrt{- 32}$
232626	Divide	( cube root of 320)÷( cube root of 5)	$\sqrt[3]{320} \div \sqrt[3]{5}$
232627	Graph	-4x^2+y^2-16=0	$- 4 x^{2} + y^{2} - 16 = 0$
232628	Simplify	3 1/3+(-2 1/4)+1 5/6	$3 \frac{1}{3} + (- 2 \frac{1}{4}) + 1 \frac{5}{6}$
232629	Find the Exact Value	square root of 2sin((3pi)/8)cos((3pi)/8)	$\sqrt{2} \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
232630	Factor	f(x)=x^4+x^3-51x^2-9x+378	$f (x) = x^{4} + x^{3} - 51 x^{2} - 9 x + 378$
232631	Graph Using a Table of Values	y=mx+b	$y = m x + b$
232632	Evaluate	y = square root of 2-y	$y = \sqrt{2 - y}$
232633	Factor by Grouping	3mx-nx-3my+ny	$3 m x - n x - 3 m y + n y$
232634	Evaluate the Function	h(t)=50-t/5	$h (t) = 50 - \frac{t}{5}$
232635	Multiply	(x+3)/(x^2+7x+12)*(x^2+x-12)/(3x-18)	$\frac{x + 3}{x^{2} + 7 x + 12} \cdot \frac{x^{2} + x - 12}{3 x - 18}$
232636	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+4x^3-26x^2+21x+5 is divided by x+5	Use synthetic division to find the result when $2 x^{4} + 4 x^{3} - 26 x^{2} + 21 x + 5$ is divided by $x + 5$
232637	Multiply	(x-2)/(4x^3)*(x^2-1)/(x^2-x-2)	$\frac{x - 2}{4 x^{3}} \cdot \frac{x^{2} - 1}{x^{2} - x - 2}$
232638	Simplify	square root of (2x-y)^8	$\sqrt{{(2 x - y)}^{8}}$
232639	Solve for a	(2a-3)/(a-1)=(2a+3)/(a+1)+10/(a^2-1)	$\frac{2 a - 3}{a - 1} = \frac{2 a + 3}{a + 1} + \frac{10}{a^{2} - 1}$
232640	Evaluate	-2*(3+8÷4)^2	$- 2 \times {(3 + 8 \div 4)}^{2}$
232641	Evaluate	1/2(pi/2)	$\frac{1}{2} (\frac{π}{2})$
232642	Factor	(4x+4)(x+1)	$(4 x + 4) (x + 1)$
232643	Simplify	-5/3(-7/4a-1/4)-8a	$- \frac{5}{3} (- \frac{7}{4} a - \frac{1}{4}) - 8 a$
232644	Graph	y>=-2/3x+1 x<=3	$y \geq - \frac{2}{3} x + 1$ $x \leq 3$
232645	Evaluate	(3x+2y-7)-(5x-4y+6)	$(3 x + 2 y - 7) - (5 x - 4 y + 6)$
232646	Write with Rational (Fractional) Exponents	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
232647	Evaluate	35% of 120	$35 %$ of $120$
232648	Divide Using Long Polynomial Division	(3v^3+v^2+2v)/(9v^3)	$\frac{3 v^{3} + v^{2} + 2 v}{9 v^{3}}$
232649	Solve for t	t^3-1=0	$t^{3} - 1 = 0$
232650	Solve the Inequality for x	(5+6x)/2>3	$\frac{5 + 6 x}{2} > 3$
232651	Solve for x	1/2x^2=6	$\frac{1}{2} x^{2} = 6$
232652	Solve the Inequality for b	4(8-2b)-2b<=32	$4 (8 - 2 b) - 2 b \leq 32$
232653	Evaluate	1/(a+3)-4/(a-3)=(2a)/(a^2-9)	$\frac{1}{a + 3} - \frac{4}{a - 3} = \frac{2 a}{a^{2} - 9}$
232654	Multiply	-3p(4-2p)	$- 3 p (4 - 2 p)$
232655	Simplify	(11xy^6)/(2x^8y^2)	$\frac{11 x y^{6}}{2 x^{8} y^{2}}$
232656	Simplify	(-3m^3n)^2(2m^2n^4)	${(- 3 m^{3} n)}^{2} (2 m^{2} n^{4})$
232657	Simplify	36^x*6^(x-2)	$36^{x} \cdot 6^{x - 2}$
232658	Solve for x	5(c-bx)=10	$5 (c - b x) = 10$
232659	Simplify	(4x^2+3x+9)+(2x^2-5x-9)	$(4 x^{2} + 3 x + 9) + (2 x^{2} - 5 x - 9)$
232660	Solve the Inequality for x	((x+5)^2)/(x^2-4)>=0	$\frac{{(x + 5)}^{2}}{x^{2} - 4} \geq 0$
232661	Solve for x	x = square root of x-4+4	$x = \sqrt{x - 4 + 4}$
232662	Evaluate	20% of 800	$20 %$ of $800$
232663	Factor by Grouping	(a+b)(a-b)+a(a+b)	$(a + b) (a - b) + a (a + b)$
232664	Evaluate	tan(arctan(5pi))	$\tan (\arctan (5 π))$
232665	Multiply	(k-p)(k-n)	$(k - p) (k - n)$
232666	Simplify	square root of 8x^5y^6z^13	$\sqrt{8 x^{5}} y^{6} z^{13}$
232667	Graph Using a Table of Values	f(x)=3 square root of x-4	$f (x) = 3 \sqrt{x - 4}$
232668	Write in Exponential Form	fifth root of square root of a	$\sqrt[5]{\sqrt{a}}$
232669	Solve for c	-1=-5/8c+9	$- 1 = - \frac{5}{8} c + 9$
232670	Find the Exact Value	cot(theta)^2+1	$\cot^{2} (θ) + 1$
232671	Find f(g(x))	f(x)=x-2 g(x)=2x-7	$f (x) = x - 2$ $g (x) = 2 x - 7$
232672	Write in Exponential Form	fifth root of 7* fifth root of 7^6	$\sqrt[5]{7} \cdot \sqrt[5]{7^{6}}$
232673	Solve for c	M=(b+c)/2	$M = \frac{b + c}{2}$
232674	Find the Exact Value	log base 3 of 3^64	$\log_{3} (3^{64})$
232675	Simplify	(-k^2d)^3(-k^2d^3)	${(- k^{2} d)}^{3} (- k^{2} d^{3})$
232676	Find the LCD	(8d-3)/9 , (4d+12)/9	$\frac{8 d - 3}{9}$ , $\frac{4 d + 12}{9}$
232677	Factor	16^2-25	$16^{2} - 25$
232678	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+18x^2-19x-18 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 18 x^{2} - 19 x - 18$ is divided by $3 x + 2$
232679	Simplify	(8x(3x+5)(x+7)^2)/(32x(x+7)(3x-5))	$\frac{8 x (3 x + 5) {(x + 7)}^{2}}{32 x (x + 7) (3 x - 5)}$
232680	Convert to Interval Notation	f+3<=-13/11	$f + 3 \leq - \frac{13}{11}$
232681	Simplify	(-x^3)(x)(x^5)	$(- x^{3}) (x) (x^{5})$
232682	Factor	20aw^2+8az-10bw^2-4bz+5cw^2+2cz	$20 a w^{2} + 8 a z - 10 b w^{2} - 4 b z + 5 c w^{2} + 2 c z$
232683	Simplify	( square root of 20- square root of -3)+( square root of 5- square root of -12)	$(\sqrt{20} - \sqrt{- 3}) + (\sqrt{5} - \sqrt{- 12})$
232684	Solve the Inequality for x	log of 7x-11<=2	$\log (7 x - 11) \leq 2$
232685	Solve for y	y=1/( square root of x)	$y = \frac{1}{\sqrt{x}}$
232686	Divide Using Long Polynomial Division	(2x^4+4x^3-x^2)/x	$\frac{2 x^{4} + 4 x^{3} - x^{2}}{x}$
232687	Solve for x	(2x+1)^2=8x+25	${(2 x + 1)}^{2} = 8 x + 25$
232688	Evaluate	(2+3/x)/(4-2/(3x))	$\frac{2 + \frac{3}{x}}{4 - \frac{2}{3 x}}$
232689	Simplify	-(6j^-9)/((-2j^4)^3)	$- \frac{6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
232690	Find the Distance Between Two Points	Find the distance between (-12,1) and (12,-1)	Find the distance between $(- 12, 1)$ and $(12, - 1)$
232691	Graph	y=x y=-2x+3	$y = x$ $y = - 2 x + 3$
232692	Solve for x	x/(x+2)-2/(2-x)=(3x+2)/(x^2-4)	$\frac{x}{x + 2} - \frac{2}{2 - x} = \frac{3 x + 2}{x^{2} - 4}$
232693	Simplify	1/4a^5b^12*16/5a^3b^2	$\frac{1}{4} a^{5} b^{12} \times \frac{16}{5} a^{3} b^{2}$
232694	Solve for n	6n-4+5n+7=180	$6 n - 4 + 5 n + 7 = 180$
232695	Solve for c	3+11x=cx+2(4x-1)+5	$3 + 11 x = c x + 2 (4 x - 1) + 5$
232696	Solve the System of Inequalities	y>-x+2 y<1/2x-4	$y > - x + 2$ $y < \frac{1}{2} x - 4$
232697	Solve the System of Equations	y+2=3(x-1) y=-2x+10	$y + 2 = 3 (x - 1)$ $y = - 2 x + 10$
232698	Multiply	(x^2-64)/(x-8)*(x+5)/(x^2+13x+40)	$\frac{x^{2} - 64}{x - 8} \cdot \frac{x + 5}{x^{2} + 13 x + 40}$
232699	Solve for x	(2x-1)^(1/3)-3=0	${(2 x - 1)}^{\frac{1}{3}} - 3 = 0$
232700	Evaluate	18-2^4*-0.5	$18 - 2^{4} \cdot - 0.5$