Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183701	Evaluate	-6/(2(1))	$\frac{- 6}{2 (1)}$
183702	Solve the Inequality for x	(5x)/(x-2)<=0	$\frac{5 x}{x - 2} \leq 0$
183703	Solve for x	5(m-4x)=25m	$5 (m - 4 x) = 25 m$
183704	Evaluate	(a+b)^2-(a-b)^2	${(a + b)}^{2} - {(a - b)}^{2}$
183705	Factor	x^2-4+4	$x^{2} - 4 + 4$
183706	Factor	3a-2b-2by^4+3ay^4	$3 a - 2 b - 2 b y^{4} + 3 a y^{4}$
183707	Solve for x	3(2x+5)-2(4+4x)=7	$3 (2 x + 5) - 2 (4 + 4 x) = 7$
183708	Convert to Interval Notation	x<3 or x>=5	$x < 3$ or $x \geq 5$
183709	Find the Domain and Range	f(x)=(x+2)	$f (x) = (x + 2)$
183710	Find r(q(x))	q(x)=x^2+9 r(x) = square root of x+8	$q (x) = x^{2} + 9$ $r (x) = \sqrt{x + 8}$
183711	Simplify	((4xy)/(y^2-x^2))÷(1/(y^2-x^2)+1/(x^2+2xy+y^2))	$\frac{4 x y}{y^{2} - x^{2}} \div (\frac{1}{y^{2} - x^{2}} + \frac{1}{x^{2} + 2 x y + y^{2}})$
183712	Graph	y-x=1/(y+x)	$y - x = \frac{1}{y + x}$
183713	Write as a Single Logarithm	log base 2 of 32	$\log_{2} (32)$
183714	Solve the System of Equations	-x+2y+z=9 x+y-2z=-1 2x-y+2z=-5	$- x + 2 y + z = 9$ $x + y - 2 z = - 1$ $2 x - y + 2 z = - 5$
183715	Simplify	log of x^4- log of x^3	$\log (x^{4}) - \log (x^{3})$
183716	Write in Standard Form	9x^2+72x-64y^2+128y+80=0	$9 x^{2} + 72 x - 64 y^{2} + 128 y + 80 = 0$
183717	Solve for x	2/(3x)+3/4=1/x	$\frac{2}{3 x} + \frac{3}{4} = \frac{1}{x}$
183718	Simplify	x*4x	$x \cdot 4 x$
183719	Simplify	square root of 2+e^(2t)+e^(-2t)	$\sqrt{2 + e^{2 t} + e^{- 2 t}}$
183720	Solve for z	15=-45+z	$15 = - 45 + z$
183721	Solve for x	(5-2x)/3+1-(3x-2)/5=-x	$\frac{5 - 2 x}{3} + 1 - \frac{3 x - 2}{5} = - x$
183722	Find the x and y Intercepts	y=(x-2)/(3x-1)	$y = \frac{x - 2}{3 x - 1}$
183723	Find All Complex Solutions	(\|7x+4\|)/8=3	$\frac{\| 7 x + 4 \|}{8} = 3$
183724	Multiply	x^2(2x+3)	$x^{2} (2 x + 3)$
183725	Combine Like Terms	(-7x^2-4)+(-7x^2-6x-2)	$(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)$
183726	Evaluate	-7/8+(-1/2)	$- \frac{7}{8} + (- \frac{1}{2})$
183727	Solve for x	-2+7x=2+6x	$- 2 + 7 x = 2 + 6 x$
183728	Write in Standard Form	(x+2)^2=16	${(x + 2)}^{2} = 16$
183729	Solve for x	c(1+bx)=a	$c (1 + b x) = a$
183730	Expand the Logarithmic Expression	log of z/( square root of y^3x^2)	$\log (\frac{z}{\sqrt{y^{3}} x^{2}})$
183731	Simplify	(x-10)/(x^3-8x^2)*(6x^3-384x)/(x^2-2x-80)	$\frac{x - 10}{x^{3} - 8 x^{2}} \cdot \frac{6 x^{3} - 384 x}{x^{2} - 2 x - 80}$
183732	Simplify	(x/25-1/x)/((x-6)/5+1/x)	$\frac{\frac{x}{25} - \frac{1}{x}}{\frac{x - 6}{5} + \frac{1}{x}}$
183733	Evaluate the Difference Quotient	f(x)=4+3x-x^2 , (f(3+h)-f(3))/h	$f (x) = 4 + 3 x - x^{2}$ , $\frac{f (3 + h) - f (3)}{h}$
183734	Graph	y>\|2x+1\|	$y > \| 2 x + 1 \|$
183735	Factor	1+(a-3b)^3	$1 + {(a - 3 b)}^{3}$
183736	Solve the Inequality for x	9-4x<=3x-5	$9 - 4 x \leq 3 x - 5$
183737	Write in Standard Form	(x+5)^2=3	${(x + 5)}^{2} = 3$
183738	Evaluate	x^3=512	$x^{3} = 512$
183739	Simplify	(x-25/x)/((x-8)/15+1/x)	$\frac{x - \frac{25}{x}}{\frac{x - 8}{15} + \frac{1}{x}}$
183740	Evaluate the Function	f(x)=-10/x at x=-12	$f (x) = - \frac{10}{x}$ at $x = - 12$
183741	Simplify	(2x-6)/(x^2-9)-x/(x+3)	$\frac{2 x - 6}{x^{2} - 9} - \frac{x}{x + 3}$
183742	Find f(g(x))	f(x)=2x^2-5x g(x)=3x^3	$f (x) = 2 x^{2} - 5 x$ $g (x) = 3 x^{3}$
183743	Multiply	(4x-2)*(-2x^2+2x+2)	$(4 x - 2) \cdot (- 2 x^{2} + 2 x + 2)$
183744	Solve for x	z=6pixy	$z = 6 π x y$
183745	Simplify	(9/x-x)/((x^2)/3+x)	$\frac{\frac{9}{x} - x}{\frac{x^{2}}{3} + x}$
183746	Solve the Inequality for z	64z^2-9<0	$64 z^{2} - 9 < 0$
183747	Graph	(x^2+4x-12)/x>0	$\frac{x^{2} + 4 x - 12}{x} > 0$
183748	Solve for n	d+3n=1 ; for n	$d + 3 n = 1$ ; for $n$
183749	Evaluate	(2pi)/((7pi)/5)	$\frac{2 π}{\frac{7 π}{5}}$
183750	Simplify	((x^2+x)/(x^2-4))÷((x^2-1)/(x^2+5x+6))	$\frac{x^{2} + x}{x^{2} - 4} \div \frac{x^{2} - 1}{x^{2} + 5 x + 6}$
183751	Factor	(x^2-3x-10)	$(x^{2} - 3 x - 10)$
183752	Solve for x	-3/(2x)-1=-1/(6x)	$- \frac{3}{2 x} - 1 = - \frac{1}{6 x}$
183753	Graph	sin(theta)>0 and cos(theta)>0	$\sin (θ) > 0$ and $\cos (θ) > 0$
183754	Solve for x	y=9x-2x	$y = 9 x - 2 x$
183755	Evaluate	-2sin(pi/3)	$- 2 \sin (\frac{π}{3})$
183756	Solve for x	(5x)/(x-2)=(3x+4)/(x-2)	$\frac{5 x}{x - 2} = \frac{3 x + 4}{x - 2}$
183757	Simplify	(1-1/(x^2))/(3/x+3/(x^2))	$\frac{1 - \frac{1}{x^{2}}}{\frac{3}{x} + \frac{3}{x^{2}}}$
183758	Find the x and y Intercepts	x ?	$x$ ?
183759	Solve the System of Equations	2x-3y=2 x=6y-5	$2 x - 3 y = 2$ $x = 6 y - 5$
183760	Find All Complex Solutions	square root of 2x+15-6=x	$\sqrt{2 x + 15} - 6 = x$
183761	Graph	y+5=-3/4(x-8)	$y + 5 = - \frac{3}{4} (x - 8)$
183762	Solve the Inequality for x	2x^2+x<15	$2 x^{2} + x < 15$
183763	Write in Slope-Intercept Form	(1,-9) , (-3,-9)	$(1, - 9)$ , $(- 3, - 9)$
183764	Solve the System of Inequalities	5x-4>=12 ; AND , 12x+5<=-4	$5 x - 4 \geq 12$ ; AND , $12 x + 5 \leq - 4$
183765	Find the x and y Intercepts	f(x)=2x(x^2+3)	$f (x) = 2 x (x^{2} + 3)$
183766	Solve for a	g=(1/27)^(a+3)	$g = {(\frac{1}{27})}^{a + 3}$
183767	Solve the Inequality for x	x-1>0	$x - 1 > 0$
183768	Solve for b	P=a+(n-1)b	$P = a + (n - 1) b$
183769	Graph	m(x)=1/2(x-2)^2	$m (x) = \frac{1}{2} {(x - 2)}^{2}$
183770	Evaluate	(3+h)^2	${(3 + h)}^{2}$
183771	Evaluate	4(3j+(-4))-9	$4 (3 j + (- 4)) - 9$
183772	Solve for x	x^3+3x^2+3x+1=0	$x^{3} + 3 x^{2} + 3 x + 1 = 0$
183773	Solve the Inequality for x	(3x-15)/x<=5-x	$\frac{3 x - 15}{x} \leq 5 - x$
183774	Graph	f(x)=2x if x!=0; 4 if x=0	$f (x) = {\begin{cases} 2 x & x \neq 0 \\ 4 & x = 0 \end{cases}$
183775	Find the Exact Value	1/3+1/5	$\frac{1}{3} + \frac{1}{5}$
183776	Solve the Inequality for x	(x+4)(x+9)(5-x)>0	$(x + 4) (x + 9) (5 - x) > 0$
183777	Solve for x	8=x^2	$8 = x^{2}$
183778	Graph	f(x)=(x^2-4)/(x^2+x-2)	$f (x) = \frac{x^{2} - 4}{x^{2} + x - 2}$
183779	Solve the Inequality for x	x/5-3<5	$\frac{x}{5} - 3 < 5$
183780	Solve for x	1/2x^3+x-7=-3 square root of x-1	$\frac{1}{2} x^{3} + x - 7 = - 3 \sqrt{x - 1}$
183781	Simplify	9/5-(-6/10)	$\frac{9}{5} - (- \frac{6}{10})$
183782	Simplify	(10x^2-640)/(x^2-17x+72)*(x^4-7x^3-18x^2)/(10(x+8)^2)	$\frac{10 x^{2} - 640}{x^{2} - 17 x + 72} \cdot \frac{x^{4} - 7 x^{3} - 18 x^{2}}{10 {(x + 8)}^{2}}$
183783	Evaluate	(0)^2-8*0+3=3	${(0)}^{2} - 8 \cdot 0 + 3 = 3$
183784	Solve the Inequality for x	(3-x)(x+1)(x+5)<0	$(3 - x) (x + 1) (x + 5) < 0$
183785	Simplify	(2i)/(3-9i)	$\frac{2 i}{3 - 9 i}$
183786	Solve the Rational Equation for x	square root of 2x+5-1=x	$\sqrt{2 x + 5} - 1 = x$
183787	Multiply	(4x^2-8x-2)(x^4+3x^2+4x)	$(4 x^{2} - 8 x - 2) (x^{4} + 3 x^{2} + 4 x)$
183788	Graph	-3/4x+2>11	$- \frac{3}{4} x + 2 > 11$
183789	Solve the Absolute Value Inequality for x	-5\|x-3\|-5<15	$- 5 \| x - 3 \| - 5 < 15$
183790	Determine if Perpendicular	y=x/3-7 y=-3x+5	$y = \frac{x}{3} - 7$ $y = - 3 x + 5$
183791	Solve for y	12x+4y=20 for y	$12 x + 4 y = 20$ for $y$
183792	Solve for x	2x(5-3)-3x=5	$2 x (5 - 3) - 3 x = 5$
183793	Solve for θ	2sin(theta) = square root of 2	$2 \sin (θ) = \sqrt{2}$
183794	Solve Using the Quadratic Formula	10/x+1=3x	$\frac{10}{x} + 1 = 3 x$
183795	Divide	(12m)÷4m	$12 m \div 4 m$
183796	Solve the Inequality for z	-14z<-37	$- 14 z < - 37$
183797	Find the Distance Between Two Points	(1,9) and (-2,6)	$(1, 9)$ and $(- 2, 6)$
183798	Solve for y	(dy)/(dx)=(3x)/2	$\frac{d y}{d x} = \frac{3 x}{2}$
183799	Find the Product	(5x+1)^2	${(5 x + 1)}^{2}$
183800	Find the Roots (Zeros)	(x-2)(x+3)(x-4)=0	$(x - 2) (x + 3) (x - 4) = 0$