Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232601	Solve for x	\|x+3\|=2a+3	$\| x + 3 \| = 2 a + 3$
232602	Describe the Transformation	f(x)=- log base 2 of x+1	$f (x) = - \log_{2} (x + 1)$
232603	Evaluate	cos(175)cos(55)+sin(175)sin(55)	$\cos (175) \cdot \cos (55) + \sin (175) \cdot \sin (55)$
232604	Simplify	(x^3z^-1)((3x^-2u)/(z^-2))^2	$(x^{3} z^{- 1}) {(\frac{3 x^{- 2} u}{z^{- 2}})}^{2}$
232605	Simplify	(x^-2y^0)/(x^3y^-2)	$\frac{x^{- 2} y^{0}}{x^{3} y^{- 2}}$
232606	Solve the Absolute Value Inequality for m	\|7m\|+3=73	$\| 7 m \| + 3 = 73$
232607	Find the Inverse	x^2+x	$x^{2} + x$
232608	Simplify	(1-tan(x/2)^2)/(1+tan(x/2)^2)	$\frac{1 - \tan^{2} (\frac{x}{2})}{1 + \tan^{2} (\frac{x}{2})}$
232609	Solve for y	5y-2+y-6=-9y+10+6y+13	$5 y - 2 + y - 6 = - 9 y + 10 + 6 y + 13$
232610	Evaluate	(1+3*5)/(18-4^2)-\|-11\|	$\frac{1 + 3 \cdot 5}{18 - 4^{2}} - \| - 11 \|$
232611	Find the x and y Intercepts	f(x)=2/(x^2)-1	$f (x) = \frac{2}{x^{2}} - 1$
232612	Write in Standard Form	4x^2+x-2=0	$4 x^{2} + x - 2 = 0$
232613	Solve for x	4x^4-4x^2-x^2+1=0	$4 x^{4} - 4 x^{2} - x^{2} + 1 = 0$
232614	Solve the Inequality for x	-10x-4>=-4(x-2)	$- 10 x - 4 \geq - 4 (x - 2)$
232615	Evaluate	g(x)=[-4.03]	$g (x) = [- 4.03]$
232616	Find the Holes in the Graph	f(x)=(x^2+3x)/(x^2-x)	$f (x) = \frac{x^{2} + 3 x}{x^{2} - x}$
232617	Subtract	9/(5x)-2/(5x^2)	$\frac{9}{5 x} - \frac{2}{5 x^{2}}$
232618	Multiply	(a^2+b)(a+b^2)	$(a^{2} + b) (a + b^{2})$
232619	Solve for b	4=(12b+8)/(b+24)	$4 = \frac{12 b + 8}{b + 24}$
232620	Solve for x	3/(2-x)=2/(8+x)	$\frac{3}{2 - x} = \frac{2}{8 + x}$
232621	Solve for x	y = square root of (x+1)/(x-4)	$y = \sqrt{\frac{x + 1}{x - 4}}$
232622	Factor	x^8-17x^4+16	$x^{8} - 17 x^{4} + 16$
232623	Solve for t	t-5<=-7	$t - 5 \leq - 7$
232624	Graph	2y=(x-3)^2	$2 y = {(x - 3)}^{2}$
232625	Solve for a	a^2+b^2=10^2	$a^{2} + b^{2} = 10^{2}$
232626	Convert to Logarithmic Form	y=4^(1-x)	$y = 4^{1 - x}$
232627	Simplify	(22/54)/(110/(22s))	$\frac{\frac{22}{54}}{\frac{110}{22 s}}$
232628	Simplify	4x^2+3y^2-4y+5y^2+5x^2	$4 x^{2} + 3 y^{2} - 4 y + 5 y^{2} + 5 x^{2}$
232629	Graph	y<=1/3x-2 y<=-x+2	$y \leq \frac{1}{3} x - 2$ $y \leq - x + 2$
232630	Graph	y>=3x 2x+y<3-y	$y \geq 3 x$ $2 x + y < 3 - y$
232631	Solve for x	0=-sin(x)-cos(x)	$0 = - \sin (x) - \cos (x)$
232632	Multiply	(2- square root of 3)^2	${(2 - \sqrt{3})}^{2}$
232633	Simplify the Radical Expression	square root of cube root of (x^5y^-8)^2	$\sqrt{\sqrt[3]{{(x^{5} y^{- 8})}^{2}}}$
232634	Simplify	(1/2-x^2)^3	${(\frac{1}{2} - x^{2})}^{3}$
232635	Evaluate	\|x\|=0	$\| x \| = 0$
232636	Evaluate Using Scientific Notation	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \times 10^{- 5})}{(7.8 \times 10^{- 8})}$
232637	Find the Degree	ay*(a^3+4y^4)	$a y \cdot (a^{3} + 4 y^{4})$
232638	Convert to Interval Notation	{x\|-4>x>-8}	${x \| - 4 > x > - 8}$
232639	Evaluate	(2-3/2)/(1/2)	$\frac{2 - \frac{3}{2}}{\frac{1}{2}}$
232640	Simplify	4x(2y)+3y(2-x)	$4 x (2 y) + 3 y (2 - x)$
232641	Simplify the Radical Expression	square root of 9- square root of -128+ square root of 36- square root of -32	$\sqrt{9} - \sqrt{- 128} + \sqrt{36} - \sqrt{- 32}$
232642	Divide	( cube root of 320)÷( cube root of 5)	$\sqrt[3]{320} \div \sqrt[3]{5}$
232643	Graph	-4x^2+y^2-16=0	$- 4 x^{2} + y^{2} - 16 = 0$
232644	Simplify	3 1/3+(-2 1/4)+1 5/6	$3 \frac{1}{3} + (- 2 \frac{1}{4}) + 1 \frac{5}{6}$
232645	Find the Exact Value	square root of 2sin((3pi)/8)cos((3pi)/8)	$\sqrt{2} \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
232646	Factor	f(x)=x^4+x^3-51x^2-9x+378	$f (x) = x^{4} + x^{3} - 51 x^{2} - 9 x + 378$
232647	Graph Using a Table of Values	y=mx+b	$y = m x + b$
232648	Evaluate	y = square root of 2-y	$y = \sqrt{2 - y}$
232649	Factor by Grouping	3mx-nx-3my+ny	$3 m x - n x - 3 m y + n y$
232650	Evaluate the Function	h(t)=50-t/5	$h (t) = 50 - \frac{t}{5}$
232651	Multiply	(x+3)/(x^2+7x+12)*(x^2+x-12)/(3x-18)	$\frac{x + 3}{x^{2} + 7 x + 12} \cdot \frac{x^{2} + x - 12}{3 x - 18}$
232652	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 $x + 5$
232653	Multiply	(x-2)/(4x^3)*(x^2-1)/(x^2-x-2)	$\frac{x - 2}{4 x^{3}} \cdot \frac{x^{2} - 1}{x^{2} - x - 2}$
232654	Simplify	square root of (2x-y)^8	$\sqrt{{(2 x - y)}^{8}}$
232655	Solve for a	(2a-3)/(a-1)=(2a+3)/(a+1)+10/(a^2-1)	$\frac{2 a - 3}{a - 1} = \frac{2 a + 3}{a + 1} + \frac{10}{a^{2} - 1}$
232656	Evaluate	-2*(3+8÷4)^2	$- 2 \times {(3 + 8 \div 4)}^{2}$
232657	Evaluate	1/2(pi/2)	$\frac{1}{2} (\frac{π}{2})$
232658	Factor	(4x+4)(x+1)	$(4 x + 4) (x + 1)$
232659	Simplify	-5/3(-7/4a-1/4)-8a	$- \frac{5}{3} (- \frac{7}{4} a - \frac{1}{4}) - 8 a$
232660	Graph	y>=-2/3x+1 x<=3	$y \geq - \frac{2}{3} x + 1$ $x \leq 3$
232661	Evaluate	(3x+2y-7)-(5x-4y+6)	$(3 x + 2 y - 7) - (5 x - 4 y + 6)$
232662	Write with Rational (Fractional) Exponents	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
232663	Evaluate	35% of 120	$35 %$ of $120$
232664	Divide Using Long Polynomial Division	(3v^3+v^2+2v)/(9v^3)	$\frac{3 v^{3} + v^{2} + 2 v}{9 v^{3}}$
232665	Solve for t	t^3-1=0	$t^{3} - 1 = 0$
232666	Solve the Inequality for x	(5+6x)/2>3	$\frac{5 + 6 x}{2} > 3$
232667	Solve for x	1/2x^2=6	$\frac{1}{2} x^{2} = 6$
232668	Solve the Inequality for b	4(8-2b)-2b<=32	$4 (8 - 2 b) - 2 b \leq 32$
232669	Evaluate	1/(a+3)-4/(a-3)=(2a)/(a^2-9)	$\frac{1}{a + 3} - \frac{4}{a - 3} = \frac{2 a}{a^{2} - 9}$
232670	Multiply	-3p(4-2p)	$- 3 p (4 - 2 p)$
232671	Simplify	(11xy^6)/(2x^8y^2)	$\frac{11 x y^{6}}{2 x^{8} y^{2}}$
232672	Simplify	(-3m^3n)^2(2m^2n^4)	${(- 3 m^{3} n)}^{2} (2 m^{2} n^{4})$
232673	Simplify	36^x*6^(x-2)	$36^{x} \cdot 6^{x - 2}$
232674	Solve for x	5(c-bx)=10	$5 (c - b x) = 10$
232675	Simplify	(4x^2+3x+9)+(2x^2-5x-9)	$(4 x^{2} + 3 x + 9) + (2 x^{2} - 5 x - 9)$
232676	Solve the Inequality for x	((x+5)^2)/(x^2-4)>=0	$\frac{{(x + 5)}^{2}}{x^{2} - 4} \geq 0$
232677	Solve for x	x = square root of x-4+4	$x = \sqrt{x - 4 + 4}$
232678	Evaluate	20% of 800	$20 %$ of $800$
232679	Factor by Grouping	(a+b)(a-b)+a(a+b)	$(a + b) (a - b) + a (a + b)$
232680	Evaluate	tan(arctan(5pi))	$\tan (\arctan (5 π))$
232681	Multiply	(k-p)(k-n)	$(k - p) (k - n)$
232682	Simplify	square root of 8x^5y^6z^13	$\sqrt{8 x^{5}} y^{6} z^{13}$
232683	Graph Using a Table of Values	f(x)=3 square root of x-4	$f (x) = 3 \sqrt{x - 4}$
232684	Write in Exponential Form	fifth root of square root of a	$\sqrt[5]{\sqrt{a}}$
232685	Solve for c	-1=-5/8c+9	$- 1 = - \frac{5}{8} c + 9$
232686	Find the Exact Value	cot(theta)^2+1	$\cot^{2} (θ) + 1$
232687	Find f(g(x))	f(x)=x-2 g(x)=2x-7	$f (x) = x - 2$ $g (x) = 2 x - 7$
232688	Write in Exponential Form	fifth root of 7* fifth root of 7^6	$\sqrt[5]{7} \cdot \sqrt[5]{7^{6}}$
232689	Solve for c	M=(b+c)/2	$M = \frac{b + c}{2}$
232690	Find the Exact Value	log base 3 of 3^64	$\log_{3} (3^{64})$
232691	Simplify	(-k^2d)^3(-k^2d^3)	${(- k^{2} d)}^{3} (- k^{2} d^{3})$
232692	Find the LCD	(8d-3)/9 , (4d+12)/9	$\frac{8 d - 3}{9}$ , $\frac{4 d + 12}{9}$
232693	Factor	16^2-25	$16^{2} - 25$
232694	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 $3 x + 2$
232695	Simplify	(8x(3x+5)(x+7)^2)/(32x(x+7)(3x-5))	$\frac{8 x (3 x + 5) {(x + 7)}^{2}}{32 x (x + 7) (3 x - 5)}$
232696	Convert to Interval Notation	f+3<=-13/11	$f + 3 \leq - \frac{13}{11}$
232697	Simplify	(-x^3)(x)(x^5)	$(- x^{3}) (x) (x^{5})$
232698	Factor	20aw^2+8az-10bw^2-4bz+5cw^2+2cz	$20 a w^{2} + 8 a z - 10 b w^{2} - 4 b z + 5 c w^{2} + 2 c z$
232699	Simplify	( square root of 20- square root of -3)+( square root of 5- square root of -12)	$(\sqrt{20} - \sqrt{- 3}) + (\sqrt{5} - \sqrt{- 12})$
232700	Solve the Inequality for x	log of 7x-11<=2	$\log (7 x - 11) \leq 2$