Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233501	Simplify	5/(x+y)+5/(x^2-y^2)	$\frac{5}{x + y} + \frac{5}{x^{2} - y^{2}}$
233502	Solve for c	25=c^2	$25 = c^{2}$
233503	Subtract	16/16-4/8	$\frac{16}{16} - \frac{4}{8}$
233504	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+13x^2+27x+14 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 13 x^{2} + 27 x + 14$ is divided by $3 x + 2$
233505	Solve for x	4\|3-3x\|-6<30	$4 \| 3 - 3 x \| - 6 < 30$
233506	Simplify	4x^3-2x^2-4x--3x+x^3-2x^2	$4 x^{3} - 2 x^{2} - 4 x - - 3 x + x^{3} - 2 x^{2}$
233507	Solve the System of Equations	5x-y=-9 and 3x+4y=13	$5 x - y = - 9$ and $3 x + 4 y = 13$
233508	Solve for x	2(6-2x)-2x=2(5+x)-4	$2 (6 - 2 x) - 2 x = 2 (5 + x) - 4$
233509	Simplify	(m+m^2)/m	$\frac{m + m^{2}}{m}$
233510	Graph	y=-1/2x-1 and y=1/4x-4	$y = - \frac{1}{2} x - 1$ and $y = \frac{1}{4} x - 4$
233511	Solve for x	3tan(3x) = square root of 3	$3 \tan (3 x) = \sqrt{3}$
233512	Write in Standard Form	2x^2+3=1-x	$2 x^{2} + 3 = 1 - x$
233513	Graph	f(x)=xsin(x)	$f (x) = x \sin (x)$
233514	Find All Complex Solutions	1/(x-2)-2/(x-3)=-1/(x^2-5x+6)	$\frac{1}{x - 2} - \frac{2}{x - 3} = \frac{- 1}{x^{2} - 5 x + 6}$
233515	Write in Standard Form	x^4y^2+4x^3y+10x^2	$x^{4} y^{2} + 4 x^{3} y + 10 x^{2}$
233516	Graph	y+42>=-x^2-13x	$y + 42 \geq - x^{2} - 13 x$
233517	Solve for n	-3+n=6n+22	$- 3 + n = 6 n + 22$
233518	Find the End Behavior	y=12x^4-x+3x^7-1	$y = 12 x^{4} - x + 3 x^{7} - 1$
233519	Simplify	(((-1)^3)/((-3)^-1))^2	${(\frac{{(- 1)}^{3}}{{(- 3)}^{- 1}})}^{2}$
233520	Solve by Graphing	2x-3y=-12 y=-5/3x-3	$2 x - 3 y = - 12$ $y = - \frac{5}{3} x - 3$
233521	Simplify	(3x-y)(6x^2+5xy-7y^2)	$(3 x - y) (6 x^{2} + 5 x y - 7 y^{2})$
233522	Solve the System of Inequalities	m+9<8 and -2m>=10	$m + 9 < 8$ and $- 2 m \geq 10$
233523	Find the Product	square root of 2a^3b^3* cube root of 4ab^2	$\sqrt{2 a^{3} b^{3}} \cdot \sqrt[3]{4 a b^{2}}$
233524	Find the Domain and Range	f(x)=-3+1/2 square root of x-4	$f (x) = - 3 + \frac{1}{2} \sqrt{x - 4}$
233525	Graph	cot(theta)>0 and sin(theta)<0	$\cot (θ) > 0$ and $\sin (θ) < 0$
233526	Graph	2x+y<=4 and x-1>0	$2 x + y \leq 4$ and $x - 1 > 0$
233527	Solve for r	12-q+r=P	$12 - q + r = P$
233528	Simplify	14/( square root of 4x^3)	$\frac{14}{\sqrt{4 x^{3}}}$
233529	Simplify	-2/5(10+15m-20n)	$- \frac{2}{5} (10 + 15 m - 20 n)$
233530	Subtract	(r^3-6rs+6s^2)-(3r^3+rs-4s^2)	$(r^{3} - 6 r s + 6 s^{2}) - (3 r^{3} + r s - 4 s^{2})$
233531	Solve for x	(4x)/6=8	$\frac{4 x}{6} = 8$
233532	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-7,-7) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 7, - 7)$ and has a slope of $1$ ?
233533	Find All Complex Number Solutions	z=-1+ square root of 3i	$z = - 1 + \sqrt{3} i$
233534	Simplify	3+ square root of 5*3- square root of 5	$3 + \sqrt{5} \cdot 3 - \sqrt{5}$
233535	Subtract	-3/4--1/2	$\frac{- 3}{4} - \frac{- 1}{2}$
233536	Solve for x	x+1/(x-1)=(2x-1)/(x-1)	$x + \frac{1}{x - 1} = \frac{2 x - 1}{x - 1}$
233537	Simplify	cube root of (192x^7)/(1029x^10)	$\sqrt[3]{\frac{192 x^{7}}{1029 x^{10}}}$
233538	Solve for k	4k+7(-4-2k)=-2(k-2)	$4 k + 7 (- 4 - 2 k) = - 2 (k - 2)$
233539	Find the Holes in the Graph	(x+3)/((x-1)(x+3))	$\frac{x + 3}{(x - 1) (x + 3)}$
233540	Graph	(x-1)^2+(y-2)^2<=4	${(x - 1)}^{2} + {(y - 2)}^{2} \leq 4$
233541	Find the Holes in the Graph	f(x)=(x^2+x-2)/(3x+6)	$f (x) = \frac{x^{2} + x - 2}{3 x + 6}$
233542	Graph	Graph the line y=-1	Graph the line $y = - 1$
233543	Evaluate the Function	g(4)=25-3*4	$g (4) = 25 - 3 \cdot 4$
233544	Simplify	(3 square root of 11+ square root of 3)/( square root of 11- square root of 3)	$\frac{3 \sqrt{11} + \sqrt{3}}{\sqrt{11} - \sqrt{3}}$
233545	Solve the Absolute Value Inequality for c	10=\|-15+3c\|	$10 = \| - 15 + 3 c \|$
233546	Solve by Substitution	x-2y=8 and 8x+6y=42	$x - 2 y = 8$ and $8 x + 6 y = 42$
233547	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+x^2-10x-16 is divided by x+2	Use the long division method to find the result when $x^{3} + x^{2} - 10 x - 16$ is divided by $x + 2$
233548	Graph	(x^3)/(x^2+1)	$\frac{x^{3}}{x^{2} + 1}$
233549	Simplify	x^-3y^2(yx^4+y^-1x^3+y^-2x^2)	$x^{- 3} y^{2} (y x^{4} + y^{- 1} x^{3} + y^{- 2} x^{2})$
233550	Graph	y<=2x-1 y<-3	$y \leq 2 x - 1$ $y < - 3$
233551	Solve the Inequality for x	x/(3x-5)<=2/(x-1)	$\frac{x}{3 x - 5} \leq \frac{2}{x - 1}$
233552	Write as a Single Logarithm	1/2 natural log of x+2 natural log of x	$\frac{1}{2} \ln (x) + 2 \ln (x)$
233553	Simplify	9-3 square root of 2+ square root of 2*3- square root of 2^2	$9 - 3 \sqrt{2} + \sqrt{2} \cdot 3 - \sqrt{2^{2}}$
233554	Simplify the Radical Expression	square root of 32x^3-7x square root of 8x	$\sqrt{32 x^{3}} - 7 x \sqrt{8 x}$
233555	Solve for a	8-(2a+7)=a+40	$8 - (2 a + 7) = a + 40$
233556	Evaluate	2+pi/2	$2 + \frac{π}{2}$
233557	Simplify	(1/(x+2))^2+7(1/(x+2))+6	${(\frac{1}{x + 2})}^{2} + 7 (\frac{1}{x + 2}) + 6$
233558	Solve the Inequality for x	-4(4+7x)+x>=-6x+5	$- 4 (4 + 7 x) + x \geq - 6 x + 5$
233559	Solve for c	c=2pi*5	$c = 2 π \cdot 5$
233560	Solve for n	8-(n+1/7x)=3n for n	$8 - (n + \frac{1}{7} x) = 3 n$ for $n$
233561	Graph	(x)=x+3	$(x) = x + 3$
233562	Factor	x^2-11x+19=-5	$x^{2} - 11 x + 19 = - 5$
233563	Graph	x^2y	$x^{2} y$
233564	Graph	p(x)=(x+5)(x)	$p (x) = (x + 5) (x)$
233565	Subtract	(4x^3-3x^2+6x-4)-(-2x^3+x^2-2)	$(4 x^{3} - 3 x^{2} + 6 x - 4) - (- 2 x^{3} + x^{2} - 2)$
233566	Evaluate	(C(401)-C*400)/(401-400)	$\frac{C (401) - C \cdot 400}{401 - 400}$
233567	Simplify	square root of 81	square root of $81$
233568	Graph	x^2+y^2<=25 y<-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y < - \| x \| + 2$
233569	Solve the Inequality for x	2x^2>0	$2 x^{2} > 0$
233570	Subtract	-8x^2+3 and -9x^2+3x-3	$- 8 x^{2} + 3$ and $- 9 x^{2} + 3 x - 3$
233571	Find the Domain and Range	d(y)=y+3	$d (y) = y + 3$
233572	Write as a Single Logarithm	1/2( log base 5 of x^6+ log base 5 of x^3)	$\frac{1}{2} (\log_{5} (x^{6}) + \log_{5} (x^{3}))$
233573	Solve for x	x+2(3x-1)=0	$x + 2 (3 x - 1) = 0$
233574	Simplify	(x-4y)/(12x)-(4x+5y)/(12x)	$\frac{x - 4 y}{12 x} - \frac{4 x + 5 y}{12 x}$
233575	Solve for k	x=(4-k)/6	$x = \frac{4 - k}{6}$
233576	Graph	f(x)=(x^2+5x)/(-2x^2+7x)	$f (x) = \frac{x^{2} + 5 x}{- 2 x^{2} + 7 x}$
233577	Simplify	(5+4i^2)+(9-4i^4)	$(5 + 4 i^{2}) + (9 - 4 i^{4})$
233578	Write in Standard Form	2/5m-4/5-3/5m	$\frac{2}{5} m - \frac{4}{5} - \frac{3}{5} m$
233579	Solve the System of Equations	-2z=6 3y+4z=-6 -2x+5y+5z=-9	$- 2 z = 6$ $3 y + 4 z = - 6$ $- 2 x + 5 y + 5 z = - 9$
233580	Simplify	20-10\|7-4(1+1)\|	$20 - 10 \| 7 - 4 (1 + 1) \|$
233581	Find All Complex Solutions	1/2x^4=648	$\frac{1}{2} x^{4} = 648$
233582	Graph	y=3^x , [-2,2]	$y = 3^{x}$ , $[- 2, 2]$
233583	Solve the System of Equations	-3x+3y=12 and 5x+5y=10	$- 3 x + 3 y = 12$ and $5 x + 5 y = 10$
233584	Solve the Inequality for g	18>-3g	$18 > - 3 g$
233585	Solve for x	-3/8(x-6)=5+3x	$- \frac{3}{8} (x - 6) = 5 + 3 x$
233586	Find the End Behavior	y=-(x^2+1)(2x^4-3)	$y = - (x^{2} + 1) (2 x^{4} - 3)$
233587	Simplify the Radical Expression	square root of 121- square root of -81+ square root of 144+ square root of -4	$\sqrt{121} - \sqrt{- 81} + \sqrt{144} + \sqrt{- 4}$
233588	Simplify	1/(n-10)*(n^2-3n-70)/(6n^2)	$\frac{1}{n - 10} \cdot \frac{n^{2} - 3 n - 70}{6 n^{2}}$
233589	Find the Product	(5^-1)(5^-3)	$(5^{- 1}) (5^{- 3})$
233590	Graph	y>=0 y>=1/2x+2 y<=-1/2x+2	$y \geq 0$ $y \geq \frac{1}{2} x + 2$ $y \leq - \frac{1}{2} x + 2$
233591	Convert to a Decimal	cos(56)deg	$\cos (56)$ degrees
233592	Evaluate	50% of 20	$50 %$ of $20$
233593	Simplify	(7+9x^4)-(3x^5+8+2x^4)	$(7 + 9 x^{4}) - (3 x^{5} + 8 + 2 x^{4})$
233594	Simplify	(9x^2)/(3x-1)+1/(1-3x)	$\frac{9 x^{2}}{3 x - 1} + \frac{1}{1 - 3 x}$
233595	Graph Using a Table of Values	y=1.5^x	$y = {1.5}^{x}$
233596	Solve for y	7-7\|4y\|=-105	$7 - 7 \| 4 y \| = - 105$
233597	Simplify	(2^-3)/(m^0n^-1)	$\frac{2^{- 3}}{m^{0} n^{- 1}}$
233598	Simplify the Radical Expression	(4r^0)^4	${(4 r^{0})}^{4}$
233599	Solve the System of Equations	-x+y=14 and -5x-7y=10	$- x + y = 14$ and $- 5 x - 7 y = 10$
233600	Simplify	(2a^2b+9ab)^2	${(2 a^{2} b + 9 a b)}^{2}$