Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178501	Solve for x	0=x^2-2x	$0 = x^{2} - 2 x$
178502	Graph	y=e^(x^2)	$y = e^{x^{2}}$
178503	Graph	-12<1/2(4x+16)<18	$- 12 < \frac{1}{2} (4 x + 16) < 18$
178504	Convert to a Decimal	510deg	$510$ degrees
178505	Find the Holes in the Graph	f(x)=(2x-20)/(2x^2+9x-35)	$f (x) = \frac{2 x - 20}{2 x^{2} + 9 x - 35}$
178506	Solve for x	10(x-1)=0	$10 (x - 1) = 0$
178507	Factor by Grouping	xm+ym+xn+yn	$x m + y m + x n + y n$
178508	Solve for g	8g+6+g=3(2-3g)	$8 g + 6 + g = 3 (2 - 3 g)$
178509	Solve for n	e^(10-n)+1=35.4	$e^{10 - n} + 1 = 35.4$
178510	Evaluate	(x+3)(x-4)	$(x + 3) (x - 4)$
178511	Solve the Inequality for x	-16>x÷2	$- 16 > x \div 2$
178512	Evaluate the Function	f(-2)=3	$f (- 2) = 3$
178513	Factor	(a+b)^2-4c^2	${(a + b)}^{2} - 4 c^{2}$
178514	Graph	3x+\|y\|=0	$3 x + \| y \| = 0$
178515	Describe the Transformation	f(x)=-5/3\|x\|+2	$f (x) = - \frac{5}{3} \| x \| + 2$
178516	Graph	(e^x)/x	$\frac{e^{x}}{x}$
178517	Simplify the Radical Expression	32^(1/5)	$32^{\frac{1}{5}}$
178518	Solve for a	xx^(4/5)=x^a	$x \cdot x^{\frac{4}{5}} = x^{a}$
178519	Solve for s	-17/4s+8=3/2(1/2s+6)	$- \frac{17}{4} s + 8 = \frac{3}{2} (\frac{1}{2} s + 6)$
178520	Write in Standard Form	(4x+5)(x^2-x-4)	$(4 x + 5) (x^{2} - x - 4)$
178521	Simplify	x square root of 63x^5y^7	$x \sqrt{63 x^{5} y^{7}}$
178522	Solve for x	y=1/(x^2)	$y = \frac{1}{x^{2}}$
178523	Rationalize the Denominator	( square root of 12)/( square root of 3+3)	$\frac{\sqrt{12}}{\sqrt{3} + 3}$
178524	Simplify	2xy^2+3x-4y^2+2xy^2-3xy^2-x	$2 x y^{2} + 3 x - 4 y^{2} + 2 x y^{2} - 3 x y^{2} - x$
178525	Find f(g(x))	f(x)=-2x^2+2x+3 g(x)=-4	$f (x) = - 2 x^{2} + 2 x + 3$ $g (x) = - 4$
178526	Solve for a	5/8=1/2(a+2)	$\frac{5}{8} = \frac{1}{2} (a + 2)$
178527	Factor	2x^3+3x^2-3x-2	$2 x^{3} + 3 x^{2} - 3 x - 2$
178528	Find the Midpoint	(10,1) and (3,-6)	$(10, 1)$ and $(3, - 6)$
178529	Find the Exact Value	tan(570 degrees )	$\tan (570 °)$
178530	Solve for x	2+2x-5=5(x+3)	$2 + 2 x - 5 = 5 (x + 3)$
178531	Multiply	(1+i)*(3-5i)	$(1 + i) \cdot (3 - 5 i)$
178532	Solve for x	x/5+x/3-1=x/2	$\frac{x}{5} + \frac{x}{3} - 1 = \frac{x}{2}$
178533	Simplify	(x^4-9x^2)/(x^3-3x^2)*(x+5)/(x^2+2x-15)	$\frac{x^{4} - 9 x^{2}}{x^{3} - 3 x^{2}} \cdot \frac{x + 5}{x^{2} + 2 x - 15}$
178534	Simplify	(w+4)/(w^2+w-30)+8/(w-5)	$\frac{w + 4}{w^{2} + w - 30} + \frac{8}{w - 5}$
178535	Simplify	((x+5)/6+1/x)/(1/(x^2)-1/9)	$\frac{\frac{x + 5}{6} + \frac{1}{x}}{\frac{1}{x^{2}} - \frac{1}{9}}$
178536	Simplify	-3 square root of 45+2 square root of 12+3 square root of 6-3 square root of 20	$- 3 \sqrt{45} + 2 \sqrt{12} + 3 \sqrt{6} - 3 \sqrt{20}$
178537	Graph	f(x)=9^x , f^-1(x) = log base 9 of x	$f (x) = 9^{x}$ , $f^{- 1} (x) = \log_{9} (x)$
178538	Solve for x	(2\|x+1\|)/3=6	$\frac{2 \| x + 1 \|}{3} = 6$
178539	Solve for x	square root of 25x^2-40x+16=3	$\sqrt{25 x^{2} - 40 x + 16} = 3$
178540	Solve the Inequality for x	x^2-6x-16<0	$x^{2} - 6 x - 16 < 0$
178541	Evaluate	3x*x	$3 x \cdot x$
178542	Simplify	(22222222)/(2222)	$\frac{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2}{2 \cdot 2 \cdot 2 \cdot 2}$
178543	Graph	f(x)=1/2(x+2)^2-3	$f (x) = \frac{1}{2} {(x + 2)}^{2} - 3$
178544	Solve for u	2u-u-1=4	$2 u - u - 1 = 4$
178545	Solve for x	3/(x-1)-1/(x^2-1)=5/(x-1)	$\frac{3}{x - 1} - \frac{1}{x^{2} - 1} = \frac{5}{x - 1}$
178546	Find g(f(x))	f(x)=x-6 g(x)=x+6	$f (x) = x - 6$ $g (x) = x + 6$
178547	Solve for u	square root of u=2	$\sqrt{u} = 2$
178548	Solve the Inequality for x	3(4x-(2x-7))<2(3x-5)	$3 (4 x - (2 x - 7)) < 2 (3 x - 5)$
178549	Solve the Inequality for x	3x-4<2	$3 x - 4 < 2$
178550	Find the Exact Value	-\|5\|	$- \| 5 \|$
178551	Simplify	(-2/(x+2)-4/(x+1))/(-4/(x+2)-2/(x+1))	$\frac{- \frac{2}{x + 2} - \frac{4}{x + 1}}{- \frac{4}{x + 2} - \frac{2}{x + 1}}$
178552	Solve for θ	square root of 3csc(theta)-2=0	$\sqrt{3} \csc (θ) - 2 = 0$
178553	Solve the System of Equations	3x-4y=3 -6x+8y=-6	$3 x - 4 y = 3$ $- 6 x + 8 y = - 6$
178554	Find the Product	(x-6)(x-5)	$(x - 6) (x - 5)$
178555	Evaluate	4cos(x)^2-3=0	$4 \cos^{2} (x) - 3 = 0$
178556	Factor	0.36-x^4y^4	$0.36 - x^{4} y^{4}$
178557	Find All Complex Solutions	\|x\|=5	$\| x \| = 5$
178558	Solve the Inequality for x	x^2-11x+30>0	$x^{2} - 11 x + 30 > 0$
178559	Solve for x	x^2-10=3x	$x^{2} - 10 = 3 x$
178560	Write in Standard Form	-4x-7x^2+15=-5x^2	$- 4 x - 7 x^{2} + 15 = - 5 x^{2}$
178561	Graph Using a Table of Values	f(x)=5x+2	$f (x) = 5 x + 2$
178562	Graph	f(x)=4+x if x<-1; x^2 if -1<=x<1; 2-x if x>=1	$f (x) = {\begin{cases} 4 + x & x < - 1 \\ x^{2} & - 1 \leq x < 1 \\ 2 - x & x \geq 1 \end{cases}$
178563	Graph	y=2x-2 y=x-2	$y = 2 x - 2$ $y = x - 2$
178564	Simplify	1/(8(12-5x)+3)	$\frac{1}{8 (12 - 5 x) + 3}$
178565	Evaluate	-4y-4+(-3)	$- 4 y - 4 + (- 3)$
178566	Find the First Term	4n+3	$4 n + 3$
178567	Find the x and y Intercepts	y=2x^2+x	$y = 2 x^{2} + x$
178568	Solve the System of Inequalities	-4x+7<=35 and -5<=-4x+7	$- 4 x + 7 \leq 35$ and $- 5 \leq - 4 x + 7$
178569	Solve the Inequality for x	(x+2)^2<=25	${(x + 2)}^{2} \leq 25$
178570	Solve for x	3x+5/(x-6)=2x	$3 x + \frac{5}{x - 6} = 2 x$
178571	Solve the Inequality for x	-3x-2>=7	$- 3 x - 2 \geq 7$
178572	Find the Product	(m-4)(m+3)	$(m - 4) (m + 3)$
178573	Graph	tan(theta)>0 and sin(theta)<0	$\tan (θ) > 0$ and $\sin (θ) < 0$
178574	Simplify	(1/(z^(3/5)))^(-1/5)	${(\frac{1}{z^{\frac{3}{5}}})}^{- \frac{1}{5}}$
178575	Solve by Substitution	-8x+y=-32 -3x-10=y	$- 8 x + y = - 32$ $- 3 x - 10 = y$
178576	Solve the Inequality for x	7x+2/3>8-1/4x	$7 x + \frac{2}{3} > 8 - \frac{1}{4} x$
178577	Graph	{y\|y>=0}	${y \| y \geq 0}$
178578	Solve the System of Equations	y=3x+30 y=8x	$y = 3 x + 30$ $y = 8 x$
178579	Expand the Logarithmic Expression	log of (x cube root of y)/(z^2)	$\log (\frac{x \sqrt[3]{y}}{z^{2}})$
178580	Solve the System of Equations	y=8x y=5x	$y = 8 x$ $y = 5 x$
178581	Simplify	(3x^2+y^2)^2	${(3 x^{2} + y^{2})}^{2}$
178582	Solve for a	-8=8(-3+a)	$- 8 = 8 (- 3 + a)$
178583	Find the Holes in the Graph	f(x)=(3x^2+8x)/(x^2+3x-10)	$f (x) = \frac{3 x^{2} + 8 x}{x^{2} + 3 x - 10}$
178584	Find All Complex Solutions	2x^2+7x+k=0	$2 x^{2} + 7 x + k = 0$
178585	Solve the Inequality for x	21x-12x<=54	$21 x - 12 x \leq 54$
178586	Solve for w	4w^2-28w=0	$4 w^{2} - 28 w = 0$
178587	Simplify	((x^4y^-3)^2)/(x^3y^5)	$\frac{{(x^{4} y^{- 3})}^{2}}{x^{3} y^{5}}$
178588	Simplify	((x^2+10x+25)/(x-5))÷((x^2-25)/(5x+10))	$\frac{x^{2} + 10 x + 25}{x - 5} \div \frac{x^{2} - 25}{5 x + 10}$
178589	Find the Quotient	(x^4-5x^3+x-4)/(x^2-7x+1)	$\frac{x^{4} - 5 x^{3} + x - 4}{x^{2} - 7 x + 1}$
178590	Solve the System of Equations	x-3y-z=-3 -x+8y-4z=8 2x-15y+7z=-15	$x - 3 y - z = - 3$ $- x + 8 y - 4 z = 8$ $2 x - 15 y + 7 z = - 15$
178591	Simplify	-3a^(x+1)+2a^(x+1)-a^(x+1)+2a^(x+1)	$- 3 a^{x + 1} + 2 a^{x + 1} - a^{x + 1} + 2 a^{x + 1}$
178592	Solve for x	2(x+1)-3(x-2)<x+6	$2 (x + 1) - 3 (x - 2) < x + 6$
178593	Graph	p(x)=1/12(x+4)^2(x-5)^2	$p (x) = \frac{1}{12} {(x + 4)}^{2} {(x - 5)}^{2}$
178594	Graph	y>=3/2x-3 y<=-1/3x+8	$y \geq \frac{3}{2} x - 3$ $y \leq - \frac{1}{3} x + 8$
178595	Factor	x^3+(1/x)^3	$x^{3} + {(\frac{1}{x})}^{3}$
178596	Find the Product	(3x-7)(3x+7)	$(3 x - 7) (3 x + 7)$
178597	Find the Inverse	y=( square root of x)/2	$y = \frac{\sqrt{x}}{2}$
178598	Find the Domain and Range	f(x)=-1/2(x-5)^2-3	$f (x) = - \frac{1}{2} {(x - 5)}^{2} - 3$
178599	Solve the Inequality for n	(-11+n)/15<-1	$\frac{- 11 + n}{15} < - 1$
178600	Find the Holes in the Graph	f(x)=(-2x^2+8x)/(x^2-6x+8)	$f (x) = \frac{- 2 x^{2} + 8 x}{x^{2} - 6 x + 8}$