Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184501	Simplify	(r+3s)/(s+r)-(3s^2)/(s^2-r^2)+r/(s-r)	$\frac{r + 3 s}{s + r} - \frac{3 s^{2}}{s^{2} - r^{2}} + \frac{r}{s - r}$
184502	Evaluate	(-1)+(-2 2/5)	$(- 1) + (- 2 \frac{2}{5})$
184503	Solve for h	-3(h-6)=5(2h+3)	$- 3 (h - 6) = 5 (2 h + 3)$
184504	Solve the Inequality for x	3(x+2)>0	$3 (x + 2) > 0$
184505	Solve the Inequality for x	5/6(3-x)-1/2(x-4)>=1/3(2x-3)-x	$\frac{5}{6} (3 - x) - \frac{1}{2} (x - 4) \geq \frac{1}{3} (2 x - 3) - x$
184506	Solve the Inequality for x	15/(x+3)>4	$\frac{15}{x + 3} > 4$
184507	Solve for x	(x-1)/3-(x-5)/2=1/6	$\frac{x - 1}{3} - \frac{x - 5}{2} = \frac{1}{6}$
184508	Simplify	x(x-y)+y(y-x)	$x (x - y) + y (y - x)$
184509	Write as a Single Logarithm	3 log of 5	$3 \log (5)$
184510	Simplify	6 square root of 3*6 square root of 3	$6 \sqrt{3} \cdot 6 \sqrt{3}$
184511	Find the End Behavior	f(x)=11-18x^2-5x^5-12x^4-2x	$f (x) = 11 - 18 x^{2} - 5 x^{5} - 12 x^{4} - 2 x$
184512	Graph Using a Table of Values	f(x)=1/2(4)^x	$f (x) = \frac{1}{2} {(4)}^{x}$
184513	Solve for c	p(x)=cx^3-15x-68	$p (x) = c x^{3} - 15 x - 68$
184514	Simplify	(6x^4-216x^2)/(x^2-5x-6)*(x^2+10x+9)/(3x^2+45x+162)	$\frac{6 x^{4} - 216 x^{2}}{x^{2} - 5 x - 6} \cdot \frac{x^{2} + 10 x + 9}{3 x^{2} + 45 x + 162}$
184515	Solve the System of Equations	y=x-2 y=-2x+7	$y = x - 2$ $y = - 2 x + 7$
184516	Solve for S	d=ST	$d = S T$
184517	Graph	y> square root of x+3	$y > \sqrt{x + 3}$
184518	Multiply	(x-3)/(2x-8)*(6x^2-96)/(x^2-9)	$\frac{x - 3}{2 x - 8} \cdot \frac{6 x^{2} - 96}{x^{2} - 9}$
184519	Solve for y	(x-2)^2+y^2=64	${(x - 2)}^{2} + y^{2} = 64$
184520	Find the Roots (Zeros)	6x^2-5x=3x^2+2	$6 x^{2} - 5 x = 3 x^{2} + 2$
184521	Solve for a	(24x^2+25x-47)/(ax-2)=-8x-3-53/(ax-2)	$\frac{24 x^{2} + 25 x - 47}{a x - 2} = - 8 x - 3 - \frac{53}{a x - 2}$
184522	Simplify	((x^(2/5)*x^(4/5))/(x^(2/5)))^(1/2)	${(\frac{x^{\frac{2}{5}} \cdot x^{\frac{4}{5}}}{x^{\frac{2}{5}}})}^{\frac{1}{2}}$
184523	Solve the Inequality for x	x(x-1)<=20	$x (x - 1) \leq 20$
184524	Combine Like Terms	(x-2)^2	${(x - 2)}^{2}$
184525	Find the x and y Intercepts	f(x)=2x(4x+1)(x-6)	$f (x) = 2 x (4 x + 1) (x - 6)$
184526	Find the Parabola with Focus (0,3) and Directrix y=-3	(0,3) , y=-3	$(0, 3)$ , $y = - 3$
184527	Graph	5x+17>=-23	$5 x + 17 \geq - 23$
184528	Solve for θ	1-cos(theta)=1/2	$1 - \cos (θ) = \frac{1}{2}$
184529	Find the Roots (Zeros)	x^5-6x^3+9x	$x^{5} - 6 x^{3} + 9 x$
184530	Simplify	8x square root of 150x^5-9 square root of 150x^7	$8 x \sqrt{150 x^{5}} - 9 \sqrt{150 x^{7}}$
184531	Divide	(4/8)÷(5/7)	$\frac{4}{8} \div \frac{5}{7}$
184532	Divide Using Synthetic Division	x^4-8x^3+12x^2+12x-38 is divided by x+4	$x^{4} - 8 x^{3} + 12 x^{2} + 12 x - 38$ is divided by $x + 4$
184533	Solve for x	9x=2-7x	$9 x = 2 - 7 x$
184534	Solve for x	a/x=c/b	$\frac{a}{x} = \frac{c}{b}$
184535	Combine Like Terms	5t+10-4-t	$5 t + 10 - 4 - t$
184536	Solve for T	R=(PT)/Q	$R = \frac{P T}{Q}$
184537	Solve Using the Quadratic Formula	x^2+x-7=-2x	$x^{2} + x - 7 = - 2 x$
184538	Solve the Absolute Value Inequality for y	\|3-9y\|<=33	$\| 3 - 9 y \| \leq 33$
184539	Graph	f(x)=x^3g(x) = cube root of x	$f (x) = x^{3} g (x) = \sqrt[3]{x}$
184540	Solve for x	x/2=(3x-4)/x	$\frac{x}{2} = \frac{3 x - 4}{x}$
184541	Solve the Rational Equation for x	square root of 15-2x=x	$\sqrt{15 - 2 x} = x$
184542	Solve for x	21x=18x+81a	$21 x = 18 x + 81 a$
184543	Solve for x	p(x)=5(x^2+1)+16	$p (x) = 5 (x^{2} + 1) + 16$
184544	Find the Domain of the Composition g(f(x))	f(x)=4x+1 , g(x) = square root of x	$f (x) = 4 x + 1$ , $g (x) = \sqrt{x}$
184545	Graph	y>=5x and y>2x+3	$y \geq 5 x$ and $y > 2 x + 3$
184546	Solve for d	A=1/2d^2	$A = \frac{1}{2} d^{2}$
184547	Factor	b(a+1)^2-5*(a+1)	$b {(a + 1)}^{2} - 5 \cdot (a + 1)$
184548	Write in Standard Form	(2-3i)+5i(1-3i)	$(2 - 3 i) + 5 i (1 - 3 i)$
184549	Solve the Inequality for x	0.3(x-4)>-0.3	$0.3 (x - 4) > - 0.3$
184550	Factor	P(x)=x^5-9x^3	$P (x) = x^{5} - 9 x^{3}$
184551	Solve for x	(x+60)^(2/3)-7=18	${(x + 60)}^{\frac{2}{3}} - 7 = 18$
184552	Solve for x	3(x-8)(7x-8)=0	$3 (x - 8) (7 x - 8) = 0$
184553	Graph	10+8x<=34	$10 + 8 x \leq 34$
184554	Find the Domain and Range	y=sin(x)-2	$y = \sin (x) - 2$
184555	Write in Standard Form	x+3=(2-x)^2	$x + 3 = {(2 - x)}^{2}$
184556	Solve the Inequality for x	(x-c)/d>y(Ford)>(0)	$\frac{x - c}{d} > y (F o r d) > (0)$
184557	Rationalize the Denominator	1/( square root of 6- square root of 5)	$\frac{1}{\sqrt{6} - \sqrt{5}}$
184558	Find All Complex Solutions	cos(2x)+cos(x)=-1	$\cos (2 x) + \cos (x) = - 1$
184559	Solve the Inequality for x	(x-7)(4-x)(x+1)<0	$(x - 7) (4 - x) (x + 1) < 0$
184560	Simplify	(((3x-1)^(1/3))/((3x+1)^(2/3))-((3x+1)^(1/3))/((3x-1)^(2/3)))/((3x-1)^(2/3))	$\frac{\frac{{(3 x - 1)}^{\frac{1}{3}}}{{(3 x + 1)}^{\frac{2}{3}}} - \frac{{(3 x + 1)}^{\frac{1}{3}}}{{(3 x - 1)}^{\frac{2}{3}}}}{{(3 x - 1)}^{\frac{2}{3}}}$
184561	Evaluate	square root of (x-2)^2-8(x-2)	$\sqrt{{(x - 2)}^{2} - 8 (x - 2)}$
184562	Solve for x	s=(2x+t)/r	$s = \frac{2 x + t}{r}$
184563	Write in Slope-Intercept Form	x+y>=2	$x + y \geq 2$
184564	Solve for h	2=bh	$2 = b h$
184565	Find the x and y Intercepts	f(x)=(x-1)/(x^3-4x)	$f (x) = \frac{x - 1}{x^{3} - 4 x}$
184566	Find the Exact Value	(3x)^2	${(3 x)}^{2}$
184567	Evaluate	3/2((58-10^2)÷( square root of 16+3))	$\frac{3}{2} ((58 - 10^{2}) \div (\sqrt{16} + 3))$
184568	Solve for n	n/-3>=1	$\frac{n}{- 3} \geq 1$
184569	Find the Exact Value	log base 1/2 of 2	$\log_{\frac{1}{2}} (2)$
184570	Solve for R	F=G(m_1m_2)/(R^2)	$F = G \frac{m_{1} m_{2}}{R^{2}}$
184571	Find the First Term	n-1	$n - 1$
184572	Solve for x	10 square root of 2 = square root of 2x	$10 \sqrt{2} = \sqrt{2 x}$
184573	Solve the Inequality for k	6(k-11)>12	$6 (k - 11) > 12$
184574	Simplify	(x^2-2x)/x	$\frac{x^{2} - 2 x}{x}$
184575	Graph	8<=x+5	$8 \leq x + 5$
184576	Evaluate	cos(pi/3)^2	$\cos^{2} (\frac{π}{3})$
184577	Graph	F(x)=1.9x^8+15x^2-6	$F (x) = 1.9 x^{8} + 15 x^{2} - 6$
184578	Graph	x^2-4x-12<=0	$x^{2} - 4 x - 12 \leq 0$
184579	Solve for x	8+6x=8+8x+7+3	$8 + 6 x = 8 + 8 x + 7 + 3$
184580	Solve for h	-8=9-5h	$- 8 = 9 - 5 h$
184581	Find All Complex Solutions	2cos(x)^2+cos(x)=0	$2 \cos^{2} (x) + \cos (x) = 0$
184582	Evaluate	(1/3)	$(\frac{1}{3})$
184583	Write in Standard Form	11x=3x^2-9	$11 x = 3 x^{2} - 9$
184584	Find the Roots (Zeros)	f(x)=2x^3+x^2-7x+1	$f (x) = 2 x^{3} + x^{2} - 7 x + 1$
184585	Solve for x	square root of 11x=3 square root of x+2	$\sqrt{11 x} = 3 \sqrt{x + 2}$
184586	Find the Holes in the Graph	f(x)=(5x+3)/(x+6)	$f (x) = \frac{5 x + 3}{x + 6}$
184587	Find the Product	(x-2)(3x+4)	$(x - 2) (3 x + 4)$
184588	Solve for r	cube root of 7r+5=-3	$\sqrt[3]{7 r + 5} = - 3$
184589	Simplify	log of 2x+ log of x- log of 2	$\log (2 x) + \log (x) - \log (2)$
184590	Graph	f(x)=1/2x+2 if x<=-1; 1/2x^2-1 if x>-1	$f (x) = {\begin{cases} \frac{1}{2} x + 2 & x \leq - 1 \\ \frac{1}{2} x^{2} - 1 & x > - 1 \end{cases}$
184591	Solve for x	4x^7-4x^3=0	$4 x^{7} - 4 x^{3} = 0$
184592	Find the Product	(x-6)^3	${(x - 6)}^{3}$
184593	Solve the System of Equations	x-3y=6 -8x-y=6	$x - 3 y = 6$ $- 8 x - y = 6$
184594	Solve for x	x+(3x+5)/(x+5)=(2x)/(x+5)	$x + \frac{3 x + 5}{x + 5} = \frac{2 x}{x + 5}$
184595	Solve the System of Equations	x+y=3 x-3y=-9	$x + y = 3$ $x - 3 y = - 9$
184596	Combine Like Terms	4(4a+5)	$4 (4 a + 5)$
184597	Graph	-1/2(x-2)^2-4	$- \frac{1}{2} {(x - 2)}^{2} - 4$
184598	Solve for b	3b-13+4b=7b+1	$3 b - 13 + 4 b = 7 b + 1$
184599	Solve for x	square root of x-2- square root of 2x = square root of x+2	$\sqrt{x - 2} - \sqrt{2 x} = \sqrt{x + 2}$
184600	Solve for q	q+5/9=5/6	$q + \frac{5}{9} = \frac{5}{6}$