Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183101	Rationalize the Denominator	(2a)/( square root of 2ax)	$\frac{2 a}{\sqrt{2 a x}}$
183102	Solve for x	5x+10y=15 for x	$5 x + 10 y = 15$ for $x$
183103	Solve the System of Equations	y=x^2 and y=-2x-1	$y = x^{2}$ and $y = - 2 x - 1$
183104	Solve for x	3(x-3)=x-19	$3 (x - 3) = x - 19$
183105	Evaluate	2x=8	$2 x = 8$
183106	Multiply	-1/4*-3	$- \frac{1}{4} \cdot - 3$
183107	Evaluate	(4(6))/(2(6)-17)	$\frac{4 (6)}{2 (6) - 17}$
183108	Find the Focus	y^2=4px	$y^{2} = 4 p x$
183109	Solve for w	7=lw	$7 = l w$
183110	Find the Excluded Values	(2x-7)/(x-2)+(8x)/(3x-6)	$\frac{2 x - 7}{x - 2} + \frac{8 x}{3 x - 6}$
183111	Solve Using the Square Root Property	3(2x+5)^2=90	$3 {(2 x + 5)}^{2} = 90$
183112	Find the Sum and Product of the Roots of the Quadratic Equation	4x^2-4x+1=0	$4 x^{2} - 4 x + 1 = 0$
183113	Solve for x	4/9(3/2x-18)=1/6x+7	$\frac{4}{9} (\frac{3}{2} x - 18) = \frac{1}{6} x + 7$
183114	Graph	f(x)=1/2x-2 if x<=6; -x-1 if x>6	$f (x) = {\begin{cases} \frac{1}{2} x - 2 & x \leq 6 \\ - x - 1 & x > 6 \end{cases}$
183115	Simplify	(-2x^2)^3*3x	${(- 2 x^{2})}^{3} \cdot 3 x$
183116	Solve the Absolute Value Inequality for p	\|10p-4\|<34	$\| 10 p - 4 \| < 34$
183117	Simplify	2 square root of 3^2	$2 \sqrt{3^{2}}$
183118	Solve the Inequality for x	3x>-6	$3 x > - 6$
183119	Solve the Inequality for x	2x-3>(2x-5)/2	$2 x - 3 > \frac{2 x - 5}{2}$
183120	Simplify	4 square root of 2*5 square root of 8	$4 \sqrt{2} \cdot 5 \sqrt{8}$
183121	Solve the Absolute Value Inequality for x	\|x\|>=3	$\| x \| \geq 3$
183122	Solve Using the Quadratic Formula	5/(4x)-(x+2)/3=x-1	$\frac{5}{4 x} - \frac{x + 2}{3} = x - 1$
183123	Solve for R	1/R=1/R_1+1/R_2 for R	$\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}}$ for $R$
183124	Solve Using the Quadratic Formula	5(x+7)^2=1125	$5 {(x + 7)}^{2} = 1125$
183125	Solve for x	4x+8y=16 for x	$4 x + 8 y = 16$ for $x$
183126	Find the Product	(x-3)(x^2-8x+2)	$(x - 3) (x^{2} - 8 x + 2)$
183127	Find a,b,c	(x-1)(x+2)=x(x+5)	$(x - 1) (x + 2) = x (x + 5)$
183128	Simplify	(x^3-4x)/(4x^2(x+10)^2)*(2x^2+8x-120)/(x^2-8x+12)	$\frac{x^{3} - 4 x}{4 x^{2} {(x + 10)}^{2}} \cdot \frac{2 x^{2} + 8 x - 120}{x^{2} - 8 x + 12}$
183129	Simplify	2x<15	$2 x < 15$
183130	Factor	ax-bx	$a x - b x$
183131	Simplify	23xy4zxyz	$2 \cdot 3 x \cdot y \cdot 4 z \cdot x \cdot y \cdot z$
183132	Find the Midpoint	(3,2) and (9,6)	$(3, 2)$ and $(9, 6)$
183133	Solve the Inequality for n	n/5>=11	$\frac{n}{5} \geq 11$
183134	Solve the Inequality for x	6x-5(2x+9)<=2x+3	$6 x - 5 (2 x + 9) \leq 2 x + 3$
183135	Solve the Inequality for x	3-x/3>-4	$3 - \frac{x}{3} > - 4$
183136	Find the x and y Intercepts	f(x)=(2x-1)(x+4)(x-2)	$f (x) = (2 x - 1) (x + 4) (x - 2)$
183137	Simplify	2abab	$2 \cdot a \cdot b \cdot a \cdot b$
183138	Find the First Term	5n+2	$5 n + 2$
183139	Solve for x	-2< log of x<2	$- 2 < \log (x) < 2$
183140	Convert to Radical Form	9^(1/2)*9^(5/2)	$9^{\frac{1}{2}} \cdot 9^{\frac{5}{2}}$
183141	Solve the Inequality for y	5y-1>(3y-1)/4	$5 y - 1 > \frac{3 y - 1}{4}$
183142	Factor by Grouping	16x^2+4	$16 x^{2} + 4$
183143	Simplify	(((a^-2)^-1)^-1)÷((a÷(a^-1))^2)	${({(a^{- 2})}^{- 1})}^{- 1} \div {(a \div a^{- 1})}^{2}$
183144	Find the Domain and Range	y=(2x-4)/(x^2-4)	$y = \frac{2 x - 4}{x^{2} - 4}$
183145	Solve for θ	sin(theta)+cos(theta)=1	$\sin (θ) + \cos (θ) = 1$
183146	Solve for n	12n+7p-6n=25p	$12 n + 7 p - 6 n = 25 p$
183147	Write in Standard Form	12-4x+2x^2=7	$12 - 4 x + 2 x^{2} = 7$
183148	Evaluate	2(4x-3)-8=4+2x	$2 (4 x - 3) - 8 = 4 + 2 x$
183149	Graph	h(x)=f(x+3)	$h (x) = f (x + 3)$
183150	Solve the Inequality for x	(x-1/2)(2x^2-2x-12)>=0	$(x - \frac{1}{2}) (2 x^{2} - 2 x - 12) \geq 0$
183151	Solve for x	-3x+1=x+9-4x	$- 3 x + 1 = x + 9 - 4 x$
183152	Simplify	(5ab^3)^2(-3a^4)	${(5 a b^{3})}^{2} (- 3 a^{4})$
183153	Evaluate	-2/5(5-10e)=e+1/3(6e-12)	$- \frac{2}{5} (5 - 10 e) = e + \frac{1}{3} (6 e - 12)$
183154	Solve for a	15(2a-2)=5(a^2-1)	$15 (2 a - 2) = 5 (a^{2} - 1)$
183155	Evaluate	-322(-3-1)	$- 3 \cdot 2 \cdot 2 (- 3 - 1)$
183156	Solve for x	-F(x)=3x^2+2x-4	$- F (x) = 3 x^{2} + 2 x - 4$
183157	Simplify	2 square root of 3( square root of 6- square root of 3)	$2 \sqrt{3} (\sqrt{6} - \sqrt{3})$
183158	Simplify	(5^3)^4*5^5	${(5^{3})}^{4} \cdot 5^{5}$
183159	Solve for x	8x+6-9x=2-x-15	$8 x + 6 - 9 x = 2 - x - 15$
183160	Graph	(1,-8)	$(1, - 8)$
183161	Simplify	(2x-5y)3-(2x+5y)3	$(2 x - 5 y) \cdot 3 - (2 x + 5 y) \cdot 3$
183162	Simplify	square root of 27+ square root of 18+ square root of 300	$\sqrt{27} + \sqrt{18} + \sqrt{300}$
183163	Graph	x=y^3+5	$x = y^{3} + 5$
183164	Simplify	3 2/5-3/4+5 1/2	$3 \frac{2}{5} - \frac{3}{4} + 5 \frac{1}{2}$
183165	Simplify	(9x^2-9)/(x^4+3x^3-4x^2)*(x+4)/(x+1)	$\frac{9 x^{2} - 9}{x^{4} + 3 x^{3} - 4 x^{2}} \cdot \frac{x + 4}{x + 1}$
183166	Rationalize the Denominator	5/( square root of 3-1)	$\frac{5}{\sqrt{3} - 1}$
183167	Graph	-2\|x+5\|<=-4	$- 2 \| x + 5 \| \leq - 4$
183168	Multiply	(4x)/(x^2-4)*(x+2)/(16x)	$\frac{4 x}{x^{2} - 4} \cdot \frac{x + 2}{16 x}$
183169	Solve for θ	tan(theta/2)-sin(theta)=0	$\tan (\frac{θ}{2}) - \sin (θ) = 0$
183170	Solve for r	\|r\|=5	$\| r \| = 5$
183171	Solve the Inequality for x	4/x<x	$\frac{4}{x} < x$
183172	Solve for T	P=2piTf	$P = 2 π T f$
183173	Simplify	x^2(x+1)^2	$x^{2} {(x + 1)}^{2}$
183174	Simplify	16(1/2x)^4	$16 {(\frac{1}{2} x)}^{4}$
183175	Solve for x	(\|x+1\|)/3=3	$\frac{\| x + 1 \|}{3} = 3$
183176	Evaluate	((8^2)/(4^4))^3	${(\frac{8^{2}}{4^{4}})}^{3}$
183177	Simplify	(2/a+2/b)/(8/(ab))	$\frac{\frac{2}{a} + \frac{2}{b}}{\frac{8}{a b}}$
183178	Factor	40zw+8x^2w-35z-7x^2	$40 z w + 8 x^{2} w - 35 z - 7 x^{2}$
183179	Graph	f(x)=[\|x\|]	$f (x) = [\| x \|]$
183180	Evaluate	(2ab)^3	${(2 a b)}^{3}$
183181	Solve the Inequality for x	(x-5)(x+2)<0	$(x - 5) (x + 2) < 0$
183182	Find the Holes in the Graph	(5x^2-5)/(-3x^2-6x+9)	$\frac{5 x^{2} - 5}{- 3 x^{2} - 6 x + 9}$
183183	Find the Distance Between Two Points	(5,7) and (-4,3)	$(5, 7)$ and $(- 4, 3)$
183184	Factor	9rs+5cr+45(cs)+25c^2	$9 r s + 5 c r + 45 c s + 25 c^{2}$
183185	Graph	y=1/(x^2+2x+1)	$y = \frac{1}{x^{2} + 2 x + 1}$
183186	Find the Axis of Symmetry	y=1/8x^2	$y = \frac{1}{8} x^{2}$
183187	Evaluate	(x-2y)^3	${(x - 2 y)}^{3}$
183188	Find the Holes in the Graph	f(x)=(3x^2-3x-6)/(x^2-3x+2)	$f (x) = \frac{3 x^{2} - 3 x - 6}{x^{2} - 3 x + 2}$
183189	Simplify	(2x)/(x-2)-(x+5)/(x+3)	$\frac{2 x}{x - 2} - \frac{x + 5}{x + 3}$
183190	Divide	-5/-2	$- \frac{5}{- 2}$
183191	Simplify	x^2 square root of 36x^4y^4	$x^{2} \sqrt{36 x^{4} y^{4}}$
183192	Find the Midpoint	(10,6) and (6,10)	$(10, 6)$ and $(6, 10)$
183193	Solve for x	(x+yi)+(8-5i)=4+3i	$(x + y i) + (8 - 5 i) = 4 + 3 i$
183194	Graph	(2,-pi/4)	$(2, - \frac{π}{4})$
183195	Graph	g(x)=-2f(x)+1	$g (x) = - 2 f (x) + 1$
183196	Simplify	(9x^3+36x^2-288x)/(6x^4-60x^3)*(x^2-9x-10)/(x^2+9x+8)	$\frac{9 x^{3} + 36 x^{2} - 288 x}{6 x^{4} - 60 x^{3}} \cdot \frac{x^{2} - 9 x - 10}{x^{2} + 9 x + 8}$
183197	Solve for x	(2/3)^(x-5)=(9/4)^((3x)/4)	${(\frac{2}{3})}^{x - 5} = {(\frac{9}{4})}^{\frac{3 x}{4}}$
183198	Write in Standard Form	2x+x^2=-13	$2 x + x^{2} = - 13$
183199	Solve for t	(9+t)/12=-3	$\frac{9 + t}{12} = - 3$
183200	Find the Exact Value	2sin((7pi)/6)	$2 \sin (\frac{7 π}{6})$