Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179501	Solve for x	x^2=12^2+5^2	$x^{2} = 12^{2} + 5^{2}$
179502	Simplify	9-9/2x-1/2x-7	$9 - \frac{9}{2} x - \frac{1}{2} x - 7$
179503	Simplify	(-3x^3+12x^2+34x-58)/(x^2-9)+(5x^2+7x+5)/(-x^2+9)	$\frac{- 3 x^{3} + 12 x^{2} + 34 x - 58}{x^{2} - 9} + \frac{5 x^{2} + 7 x + 5}{- x^{2} + 9}$
179504	Divide	5 1/2÷2 1/2	$5 \frac{1}{2} \div 2 \frac{1}{2}$
179505	Graph	P(d)=1/33d+1	$P (d) = \frac{1}{33} d + 1$
179506	Solve for x	0=2x^2+3x+4	$0 = 2 x^{2} + 3 x + 4$
179507	Simplify	( square root of 15)/(2 square root of 3)	$\frac{\sqrt{15}}{2 \sqrt{3}}$
179508	Graph	y=x^2+6,x<=3; -x+6,x>3	$y = {\begin{cases} x^{2} + 6, x \leq 3 \\ - x + 6, x > 3 \end{cases}$
179509	Find the x and y Intercepts	y=((2x-2)(x+2))/((4x+4)(2x+1))	$y = \frac{(2 x - 2) (x + 2)}{(4 x + 4) (2 x + 1)}$
179510	Find the Excluded Values	(3x)/(x^2+3x-28)-(2x)/(x^2+x-20)	$\frac{3 x}{x^{2} + 3 x - 28} - \frac{2 x}{x^{2} + x - 20}$
179511	Find the Standard Form of the Parabola	y^2-12x+8y=-40	$y^{2} - 12 x + 8 y = - 40$
179512	Find the Domain and Range	y=(x^2-7x+12)/(x^2-9)	$y = \frac{x^{2} - 7 x + 12}{x^{2} - 9}$
179513	Find the Sum and Product of the Roots of the Quadratic Equation	4x^2+3x-5=0	$4 x^{2} + 3 x - 5 = 0$
179514	Divide	(4mn-8m^2n-2mn)/(2mn)	$\frac{4 m n - 8 m^{2} n - 2 m n}{2 m n}$
179515	Solve the Inequality for x	(x+6)/(x+1)-2<0	$\frac{x + 6}{x + 1} - 2 < 0$
179516	Evaluate	8-4(-x+5)	$8 - 4 (- x + 5)$
179517	Solve for x	(0.5x+1.2)-(3.6-4.5x)=(4.8-0.3x)+(10.5x+0.6)	$(0.5 x + 1.2) - (3.6 - 4.5 x) = (4.8 - 0.3 x) + (10.5 x + 0.6)$
179518	Simplify	(3/4)/(5/6)	$\frac{\frac{3}{4}}{\frac{5}{6}}$
179519	Graph	y>1/3x-5 y>-x+3	$y > \frac{1}{3} x - 5$ $y > - x + 3$
179520	Factor	2x^4+x^3-29x^2-34x+24	$2 x^{4} + x^{3} - 29 x^{2} - 34 x + 24$
179521	Solve for x	\|2-x\|>0	$\| 2 - x \| > 0$
179522	Solve the Inequality for x	(x-1)(x-2)>0	$(x - 1) (x - 2) > 0$
179523	Factor	(a+b-c)(x-3)-(b-c-a)(x-3)	$(a + b - c) (x - 3) - (b - c - a) (x - 3)$
179524	Solve for x	-6/(x+1)+6=1/x	$- \frac{6}{x + 1} + 6 = \frac{1}{x}$
179525	Simplify	(35x^3yz^2)/(21x^2y^3z)	$\frac{35 x^{3} y z^{2}}{21 x^{2} y^{3} z}$
179526	Evaluate	(e^4)/(e^-1+e^-2)	$\frac{e^{4}}{e^{- 1} + e^{- 2}}$
179527	Solve for x	square root of 2x+5 = square root of 2x+1	$\sqrt{2 x + 5} = \sqrt{2 x + 1}$
179528	Solve for x	(x+1)/(2x-1)=3/(4x-1)	$\frac{x + 1}{2 x - 1} = \frac{3}{4 x - 1}$
179529	Evaluate	log base 12 of x+ log base 12 of 11x-1=1	$\log_{12} (x) + \log_{12} (11 x - 1) = 1$
179530	Simplify	(5/6)^-1	${(\frac{5}{6})}^{- 1}$
179531	Multiply	(-2d^2+s)(5d^2-6s)	$(- 2 d^{2} + s) (5 d^{2} - 6 s)$
179532	Evaluate	pi/4+(3pi)/2	$\frac{π}{4} + \frac{3 π}{2}$
179533	Solve the System of Inequalities	6<3x+9<=18	$6 < 3 x + 9 \leq 18$
179534	Evaluate	6*(4+2)^2-3^2	$6 \cdot {(4 + 2)}^{2} - 3^{2}$
179535	Solve the Inequality for x	50<8-6x	$50 < 8 - 6 x$
179536	Solve for x	3x-(2x)/5=x/10-7/4	$3 x - \frac{2 x}{5} = \frac{x}{10} - \frac{7}{4}$
179537	Solve for x	8x+4-2(1-x)=8+10x-6	$8 x + 4 - 2 (1 - x) = 8 + 10 x - 6$
179538	Solve the System of Equations	x+2y=-5 and -2x+y=3	$x + 2 y = - 5$ and $- 2 x + y = 3$
179539	Evaluate	\|-5^2\|	$\| - 5^{2} \|$
179540	Write in Standard Form	(3x+1)(2x^2+9x+6)	$(3 x + 1) (2 x^{2} + 9 x + 6)$
179541	Solve the Inequality for x	(x^2-x-12)/(x+5)>=0	$\frac{x^{2} - x - 12}{x + 5} \geq 0$
179542	Solve for n	2^(-2n)=2^6	$2^{- 2 n} = 2^{6}$
179543	Simplify	square root of -8 square root of -18	$\sqrt{- 8} \sqrt{- 18}$
179544	Solve for x	cos(x)(2sin(x)+1)=0	$\cos (x) (2 \sin (x) + 1) = 0$
179545	Simplify	4a^3b^2*3a^6b^5	$4 a^{3} b^{2} \cdot 3 a^{6} b^{5}$
179546	Find the Midpoint	(1,7) and (10,4)	$(1, 7)$ and $(10, 4)$
179547	Solve the Inequality for x	5-3/2x>=1/3	$5 - \frac{3}{2} x \geq \frac{1}{3}$
179548	Evaluate	-6+4q+(-6q)	$- 6 + 4 q + (- 6 q)$
179549	Simplify	1-4(x+6)-6(8-2x)	$1 - 4 (x + 6) - 6 (8 - 2 x)$
179550	Solve for aₙ	a_n=a_1+(n-1)d	$a_{n} = a_{1} + (n - 1) d$
179551	Simplify	(-r-10)-(-4r^3+r^2+7r)	$(- r - 10) - (- 4 r^{3} + r^{2} + 7 r)$
179552	Find All Complex Solutions	0.75(x+40)=0.35(x+20)+0.35(x+20)	$0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)$
179553	Simplify	( square root of 270x^5)/( square root of 10)	$\frac{\sqrt{270 x^{5}}}{\sqrt{10}}$
179554	Evaluate	e^-1-1	$e^{- 1} - 1$
179555	Solve for x	x^2-48=2x	$x^{2} - 48 = 2 x$
179556	Solve for x	x^2+x=3	$x^{2} + x = 3$
179557	Subtract	2/3-5	$\frac{2}{3} - 5$
179558	Solve the System of Equations	y=x+3 y=5	$y = x + 3$ $y = 5$
179559	Solve for t	S=5r^2t ; for t	$S = 5 r^{2} t$ ; for $t$
179560	Solve the Inequality for x	3x^2+13x<10	$3 x^{2} + 13 x < 10$
179561	Find the Product	(a^2b^3)^4	${(a^{2} b^{3})}^{4}$
179562	Solve for x	-6x+6x-6=2-5	$- 6 x + 6 x - 6 = 2 - 5$
179563	Write in Standard Form	square root of -9- square root of -25	$\sqrt{- 9} - \sqrt{- 25}$
179564	Find All Complex Solutions	x^2+x-20=0	$x^{2} + x - 20 = 0$
179565	Find the Holes in the Graph	f(x)=(-2x^2+6x)/(x^2-4x+3)	$f (x) = \frac{- 2 x^{2} + 6 x}{x^{2} - 4 x + 3}$
179566	Solve the Inequality for x	8x-6>=10	$8 x - 6 \geq 10$
179567	Simplify	((4x^-3y^2)^2)/(2x^-5y^3)	$\frac{{(4 x^{- 3} y^{2})}^{2}}{2 x^{- 5} y^{3}}$
179568	Write in Standard Form	square root of -9- square root of -16	$\sqrt{- 9} - \sqrt{- 16}$
179569	Find the Exact Value	cos(585 degrees )	$\cos (585 °)$
179570	Solve for y	x/y=h-k	$\frac{x}{y} = h - k$
179571	Write in Standard Form	f(x)=(x-3)^2+5	$f (x) = {(x - 3)}^{2} + 5$
179572	Solve the System of Equations	2x-4y=6 -4x+8y=-12	$2 x - 4 y = 6$ $- 4 x + 8 y = - 12$
179573	Factor	-4x^3+x^2-6x+8	$- 4 x^{3} + x^{2} - 6 x + 8$
179574	Solve for x	2\|x-2\|-12=0	$2 \| x - 2 \| - 12 = 0$
179575	Graph	-5(1-4a)>-5	$- 5 (1 - 4 a) > - 5$
179576	Solve for y	(y^2)/(y+1)=1/(y+1)	$\frac{y^{2}}{y + 1} = \frac{1}{y + 1}$
179577	Simplify	( square root of 3+ square root of 5x)( square root of 3-5 square root of 5x)	$(\sqrt{3} + \sqrt{5 x}) (\sqrt{3} - 5 \sqrt{5 x})$
179578	Determine if Perpendicular	10x-2y=16 and x+5y=-20	$10 x - 2 y = 16$ and $x + 5 y = - 20$
179579	Simplify	(2x^2-2)/(3x^2+6x+3)	$\frac{2 x^{2} - 2}{3 x^{2} + 6 x + 3}$
179580	Solve for t	-6t<12	$- 6 t < 12$
179581	Simplify	(12/2)^2	${(\frac{12}{2})}^{2}$
179582	Graph	-4<x	$- 4 < x$
179583	Solve for x	7/(2x)=x/14	$\frac{7}{2 x} = \frac{x}{14}$
179584	Solve for x	3/5+3/(2x-1)=0	$\frac{3}{5} + \frac{3}{2 x - 1} = 0$
179585	Find the x and y Intercepts	y=3(4^x)-2	$y = 3 (4^{x}) - 2$
179586	Solve the System of Equations	3x-y=10 2x+3y=3	$3 x - y = 10$ $2 x + 3 y = 3$
179587	Graph	{x\|x<-3}	${x \| x < - 3}$
179588	Solve for x	2*4^(3x-6)-8=120	$2 \cdot 4^{3 x - 6} - 8 = 120$
179589	Find the x and y Intercepts	(-x+5)(-x-2)=y	$(- x + 5) (- x - 2) = y$
179590	Graph	y=\|x^2-4x+3\|	$y = \| x^{2} - 4 x + 3 \|$
179591	Solve the Inequality for x	x^2-3x-54<0	$x^{2} - 3 x - 54 < 0$
179592	Divide	(x^3+2x^2+x+6)/(x+2)	$\frac{x^{3} + 2 x^{2} + x + 6}{x + 2}$
179593	Solve the Inequality for x	2(x-15)>=x/2	$2 (x - 15) \geq \frac{x}{2}$
179594	Graph	y=-1/2(x-3)^2+5	$y = - \frac{1}{2} {(x - 3)}^{2} + 5$
179595	Simplify	3x square root of 12+3 square root of 3x^2	$3 x \sqrt{12} + 3 \sqrt{3 x^{2}}$
179596	Find the x and y Intercepts	R(x)=(x^2)/(x^2-x-20)	$R (x) = \frac{x^{2}}{x^{2} - x - 20}$
179597	Solve for x	6x-4=8(2+1/4x)	$6 x - 4 = 8 (2 + \frac{1}{4} x)$
179598	Graph	y=- square root of 1-x^2	$y = - \sqrt{1 - x^{2}}$
179599	Evaluate	(-3x)^2	${(- 3 x)}^{2}$
179600	Graph	y>=((x-5)(x-3))/(x-5)	$y \geq \frac{(x - 5) (x - 3)}{x - 5}$