Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197501	Find the Distance Between Two Points	(5,2) and (-1,9)	$(5, 2)$ and $(- 1, 9)$
197502	Graph	y>x+1 , y<=10 , x>=0	$y > x + 1$ , $y \leq 10$ , $x \geq 0$
197503	Factor	x^6-64=0	$x^{6} - 64 = 0$
197504	Write the Fraction in Simplest Form	1/(1-cos(theta))+1/(1+cos(theta))	$\frac{1}{1 - \cos (θ)} + \frac{1}{1 + \cos (θ)}$
197505	Solve for t	2/t-(3t)/2=7	$\frac{2}{t} - \frac{3 t}{2} = 7$
197506	Multiply	(3b-5)/(b^2)*(b^4)/(5-3b)	$\frac{3 b - 5}{b^{2}} \cdot \frac{b^{4}}{5 - 3 b}$
197507	Multiply	(y^2-16)/(2y+6)*(y+3)/(y-4)	$\frac{y^{2} - 16}{2 y + 6} \cdot \frac{y + 3}{y - 4}$
197508	Solve for x	(3^(x/2))/9=3(3^(2x))	$\frac{3^{\frac{x}{2}}}{9} = 3 (3^{2 x})$
197509	Find All Complex Solutions	-4(x-5)+8x=9x-3	$- 4 (x - 5) + 8 x = 9 x - 3$
197510	Solve for x	14+56x-22=8(7x-1)	$14 + 56 x - 22 = 8 (7 x - 1)$
197511	Solve for c	-(a+b)c=-a-b	$- (a + b) c = - a - b$
197512	Solve for x	5/(x^2-7x+12)-2/(3-x)=5/(x-4)	$\frac{5}{x^{2} - 7 x + 12} - \frac{2}{3 - x} = \frac{5}{x - 4}$
197513	Divide	(-300x^5y^4)÷xy^2	$- 300 x^{5} y^{4} \div x y^{2}$
197514	Solve for w	5w(5w+12)=-32	$5 w (5 w + 12) = - 32$
197515	Solve for x	(2(x-1))/3=x	$\frac{2 (x - 1)}{3} = x$
197516	Solve for x	4 cube root of x-2+1=9	$4 \sqrt[3]{x - 2} + 1 = 9$
197517	Simplify	(x+iy)^3	${(x + i y)}^{3}$
197518	Solve for y	y^2=13y-42	$y^{2} = 13 y - 42$
197519	Solve for t	49t-90t+37t+91t-65t=88	$49 t - 90 t + 37 t + 91 t - 65 t = 88$
197520	Simplify	(3^(-2/3)*3^(1/3))^-1	${(3^{- \frac{2}{3}} \cdot 3^{\frac{1}{3}})}^{- 1}$
197521	Simplify	x+2(x+3)	$x + 2 (x + 3)$
197522	Write in Standard Form	5x^2-12=2x^2+3	$5 x^{2} - 12 = 2 x^{2} + 3$
197523	Simplify	-6(-4-7i)-(3i)(-i)	$- 6 (- 4 - 7 i) - (3 i) (- i)$
197524	Graph	y=1/2cos(2/3x-pi/3)	$y = \frac{1}{2} \cos (\frac{2}{3} x - \frac{π}{3})$
197525	Write as a Single Logarithm	natural log of x+ natural log of 3	$\ln (x) + \ln (3)$
197526	Simplify	(a^3+1)/(a^4-a^3+a-1)	$\frac{a^{3} + 1}{a^{4} - a^{3} + a - 1}$
197527	Solve for x	5(3x-4)+4.5=3.9(-6x+1)+9.4	$5 (3 x - 4) + 4.5 = 3.9 (- 6 x + 1) + 9.4$
197528	Solve for y	-1/2(-5y+4)=2+1/2y	$- \frac{1}{2} (- 5 y + 4) = 2 + \frac{1}{2} y$
197529	Simplify	5/10+8/100	$\frac{5}{10} + \frac{8}{100}$
197530	Simplify	(x+9)/(3y)+(2x)/(3y)	$\frac{x + 9}{3 y} + \frac{2 x}{3 y}$
197531	Solve for x	2x-3+x-35=2-9x-4	$2 x - 3 + x - 35 = 2 - 9 x - 4$
197532	Graph	x^4+x^2	$x^{4} + x^{2}$
197533	Solve for x	12-x^2+x=0	$12 - x^{2} + x = 0$
197534	Find the Roots (Zeros)	f(x)=-(x+1)^2(x-1)	$f (x) = - {(x + 1)}^{2} (x - 1)$
197535	Solve for E	sec(theta)=I/(ER^2)	$\sec (θ) = \frac{I}{E R^{2}}$
197536	Solve for x	(3x+7)/10+(3x+1)/8=x+7	$\frac{3 x + 7}{10} + \frac{3 x + 1}{8} = x + 7$
197537	Simplify	((27-12)/(8-3))^3	${(\frac{27 - 12}{8 - 3})}^{3}$
197538	Solve for x	2x^2+10=4x+40	$2 x^{2} + 10 = 4 x + 40$
197539	Solve for x	(9/25)^(3x)=3125/243	${(\frac{9}{25})}^{3 x} = \frac{3125}{243}$
197540	Solve for x	((x+1)/(x-1)+1)/(5/(x-1))=2	$\frac{\frac{x + 1}{x - 1} + 1}{\frac{5}{x - 1}} = 2$
197541	Solve for x	x+2-(2x+5)/2=(2x-1)/10	$x + 2 - \frac{2 x + 5}{2} = \frac{2 x - 1}{10}$
197542	Find the LCD	5/(x+11) and 9/(x-11)	$\frac{5}{x + 11}$ and $\frac{9}{x - 11}$
197543	Simplify	-2/(3+ square root of 6)	$\frac{- 2}{3 + \sqrt{6}}$
197544	Solve for x	7+x=2x+6	$7 + x = 2 x + 6$
197545	Simplify	5/9(x-32)	$\frac{5}{9} (x - 32)$
197546	Solve for t	\|t\|=0	$\| t \| = 0$
197547	Find All Complex Solutions	(4y-5)+(-x-3)i=7-8i	$(4 y - 5) + (- x - 3) i = 7 - 8 i$
197548	Find the Distance Between Two Points	(4,6) and (-2,9)	$(4, 6)$ and $(- 2, 9)$
197549	Solve for y	y=1/-2	$y = \frac{1}{- 2}$
197550	Find the Exact Value	cot(-360 degrees )	$\cot (- 360 °)$
197551	Solve for x	3/(5(x-4))=x/(x-4)	$\frac{3}{5 (x - 4)} = \frac{x}{(x - 4)}$
197552	Evaluate the Function	f(x)=3x^2+2x+1 at x=-2	$f (x) = 3 x^{2} + 2 x + 1$ at $x = - 2$
197553	Factor	36(m+n)^2-121(m-n)^2	$36 {(m + n)}^{2} - 121 {(m - n)}^{2}$
197554	Solve Using the Quadratic Formula	x^(2/3)-3x^(1/3)=28	$x^{\frac{2}{3}} - 3 x^{\frac{1}{3}} = 28$
197555	Divide Using Long Polynomial Division	(3x^2+7x^3+11x-4)÷(x+2)	$(3 x^{2} + 7 x^{3} + 11 x - 4) \div (x + 2)$
197556	Simplify	(-6y^2+4y-3x)+(4y^2-5y+6x)	$(- 6 y^{2} + 4 y - 3 x) + (4 y^{2} - 5 y + 6 x)$
197557	Solve for x	1-1/(3x^(2/3))=0	$1 - \frac{1}{3 x^{\frac{2}{3}}} = 0$
197558	Simplify	2x+y+4-3y+4+x	$2 x + y + 4 - 3 y + 4 + x$
197559	Solve for m	9m-3(m+6)=2(m+1)	$9 m - 3 (m + 6) = 2 (m + 1)$
197560	Write in Slope-Intercept Form	2x+3y>=6	$2 x + 3 y \geq 6$
197561	Find the Perpendicular Line	(1,6) and perpendicular to 2x+7y=1	$(1, 6)$ and perpendicular to $2 x + 7 y = 1$
197562	Write in Standard Form	i^4	$i^{4}$
197563	Solve the Inequality for x	-1<=-1/2x-(7x-1)-5	$- 1 \leq - \frac{1}{2} x - (7 x - 1) - 5$
197564	Simplify	(cos(x)^2-sin(x)^2)/(1+2sin(x)cos(x))	$\frac{\cos^{2} (x) - \sin^{2} (x)}{1 + 2 \sin (x) \cos (x)}$
197565	Multiply	(xy^2-4x^2y^3+5x^3y+4x^2)*(-2x^3y)	$(x y^{2} - 4 x^{2} y^{3} + 5 x^{3} y + 4 x^{2}) \cdot (- 2 x^{3} y)$
197566	Graph	f(x)=sin(-(2x)/3)	$f (x) = \sin (- \frac{2 x}{3})$
197567	Solve for x	2x^3+x^2-7x-6=0	$2 x^{3} + x^{2} - 7 x - 6 = 0$
197568	Solve the Inequality for x	x^2-2x-5>=3	$x^{2} - 2 x - 5 \geq 3$
197569	Solve for n	-2.6-1.5=n	$- 2.6 - 1.5 = n$
197570	Simplify	(-4g-2-g^2)+(3g^2+9g)	$(- 4 g - 2 - g^{2}) + (3 g^{2} + 9 g)$
197571	Solve for x	log base 3 of 4x^2-7- log base 3 of 3x+2=1	$\log_{3} (4 x^{2} - 7) - \log_{3} (3 x + 2) = 1$
197572	Graph	f(x)=-6x^3+9x+x^5	$f (x) = - 6 x^{3} + 9 x + x^{5}$
197573	Solve for x	1/2=sin(x)	$\frac{1}{2} = \sin (x)$
197574	Solve for k	3/7k=12/35	$\frac{3}{7} k = \frac{12}{35}$
197575	Simplify	fourth root of k^5*k	$\sqrt[4]{k^{5} \cdot k}$
197576	Simplify	-4x^0z^3*3y	$- 4 x^{0} z^{3} \cdot 3 y$
197577	Solve for r	n=L/(p(r+s))	$n = \frac{L}{p (r + s)}$
197578	Solve for k	13+2k=3k+4(k-3)	$13 + 2 k = 3 k + 4 (k - 3)$
197579	Write in Standard Form	g(x)=-2(3x+1)(x+2)(x-3)	$g (x) = - 2 (3 x + 1) (x + 2) (x - 3)$
197580	Graph	y<=-3x+4 y>=2x-1	$y \leq - 3 x + 4$ $y \geq 2 x - 1$
197581	Simplify	-1x-1x	$- 1 x - 1 x$
197582	Simplify the Radical Expression	(2^-7*5^5)^2	${(2^{- 7} \cdot 5^{5})}^{2}$
197583	Solve the Inequality for x	8x-16-x^2<0	$8 x - 16 - x^{2} < 0$
197584	Solve for p	s=p-0.2t	$s = p - 0.2 t$
197585	Solve for m	2m-(m+1)=0	$2 m - (m + 1) = 0$
197586	Solve for x	4+1.1(-8x-9.3)+8.6x=-9	$4 + 1.1 (- 8 x - 9.3) + 8.6 x = - 9$
197587	Solve for y	y+4=5/y	$y + 4 = \frac{5}{y}$
197588	Solve for x	5(-3x+2)+5x-5=-2	$5 (- 3 x + 2) + 5 x - 5 = - 2$
197589	Solve for x	x^4-14x^2+49=0	$x^{4} - 14 x^{2} + 49 = 0$
197590	Graph	y<=-1/3x+2 y>2x-3	$y \leq - \frac{1}{3} x + 2$ $y > 2 x - 3$
197591	Find the Inverse	f(-2)	$f (- 2)$
197592	Simplify	(k(k+1)(2k+1))/6+(k+1)^2	$\frac{k (k + 1) (2 k + 1)}{6} + {(k + 1)}^{2}$
197593	Solve for x	-2x(x^2-9)(x^2+16)=0	$- 2 x (x^{2} - 9) (x^{2} + 16) = 0$
197594	Solve for x	0=x^2+x-6	$0 = x^{2} + x - 6$
197595	Find the Holes in the Graph	(-4x^2-16x)/(3x^2)	$\frac{- 4 x^{2} - 16 x}{3 x^{2}}$
197596	Solve for q	14-(2q+5)=-2q+9	$14 - (2 q + 5) = - 2 q + 9$
197597	Simplify	(6^(1/4))^3	${(6^{\frac{1}{4}})}^{3}$
197598	Evaluate	((5/2)^2+5/2)/(5/2-1)	$\frac{{(\frac{5}{2})}^{2} + \frac{5}{2}}{\frac{5}{2} - 1}$
197599	Simplify	9x-20+x^2	$9 x - 20 + x^{2}$
197600	Graph	f(x)=1/2\|x+1\|	$f (x) = \frac{1}{2} \| x + 1 \|$