Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45501	Find All Complex Solutions	2x^2-4x=-2	$2 x^{2} - 4 x = - 2$
45502	Integrate Using u-Substitution	integral of sec(x)^2tan(x)^2 with respect to x	$\int \sec^{2} (x) \tan^{2} (x) d x$
45503	Evaluate	2x^3-2x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 2 x^{2} - 24 x = a x (x + b) (x + c)$
45504	Find the x and y Intercepts	(2x-3)	$(2 x - 3)$
45505	Add	x/(xy-y^2)+(2x-y)/(xy-x^2)	$\frac{x}{x y - y^{2}} + \frac{2 x - y}{x y - x^{2}}$
45506	Convert to a Decimal	cos(990)deg	$\cos (990)$ degrees
45507	Find Amplitude, Period, and Phase Shift	y=cos(4pix-5/3)	$y = \cos (4 π x - \frac{5}{3})$
45508	Graph	y=tan(4)(x-pi)+1	$y = \tan (4) (x - π) + 1$
45509	Simplify	(x/y)^3((y^2x)/z)^4	${(\frac{x}{y})}^{3} {(\frac{y^{2} x}{z})}^{4}$
45510	Find the Derivative - d/dx	y = square root of 2px	$y = \sqrt{2 p x}$
45511	Simplify	( square root of 5)/( square root of xy)	$\frac{\sqrt{5}}{\sqrt{x y}}$
45512	Convert to a Decimal	cot(300)deg	$\cot (300)$ degrees
45513	Find the Second Derivative	(2x)/( square root of 3x-1)	$\frac{2 x}{\sqrt{3 x - 1}}$
45514	Solve for z	A=3/4xy^2z	$A = \frac{3}{4} x y^{2} z$
45515	Solve for a	a^(-5/2)+7=39	$a^{- \frac{5}{2}} + 7 = 39$
45516	Simplify	(4x^2y^(-3/2))/( fourth root of 81x^5y^4)	$\frac{4 x^{2} y^{- \frac{3}{2}}}{\sqrt[4]{81 x^{5} y^{4}}}$
45517	Solve for x	5/(20x)=1/(4x)	$\frac{5}{20 x} = \frac{1}{4 x}$
45518	Factor	4xy-3-2y+6x	$4 x y - 3 - 2 y + 6 x$
45519	Solve for Z	Z/4=3	$\frac{Z}{4} = 3$
45520	Solve for w	w^2=-12w	$w^{2} = - 12 w$
45521	Solve for b	r=(b-4)m	$r = (b - 4) m$
45522	Factor	g(x)=x^4-7x^2+6x	$g (x) = x^{4} - 7 x^{2} + 6 x$
45523	Solve the Function Operation	(3x^2)/(x^2-25)-x/(x+5)+2/(x-5) , x!=-5 , 5	$\frac{3 x^{2}}{x^{2} - 25} - \frac{x}{x + 5} + \frac{2}{x - 5}$ , $x \neq - 5$ , $5$
45524	Convert to Interval Notation	x<6 or x<7	$x < 6$ or $x < 7$
45525	Simplify	-5q^2w^3(4q+7w)+4qw^2(7q^2w+2q)-3qw(3q^2w^2+9)	$- 5 q^{2} w^{3} (4 q + 7 w) + 4 q w^{2} (7 q^{2} w + 2 q) - 3 q w (3 q^{2} w^{2} + 9)$
45526	Solve for y	(7+8y)/15-8/3=(2y)/5	$\frac{7 + 8 y}{15} - \frac{8}{3} = \frac{2 y}{5}$
45527	Write the Fraction in Simplest Form	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}} x^{- 1}}$
45528	Evaluate	3*h(2)-f(-9)	$3 \cdot h (2) - f (- 9)$
45529	Simplify	a^4-81-(a^2+9)^2	$a^{4} - 81 - {(a^{2} + 9)}^{2}$
45530	Solve the Inequality for a	a+8-2(a-12)>0	$a + 8 - 2 (a - 12) > 0$
45531	Find the GCF	-60+60n^2+50n^3	$- 60 + 60 n^{2} + 50 n^{3}$
45532	Write in Standard Form	2x^2+9	$2 x^{2} + 9$
45533	Solve the Rational Equation for x	(2^(2x+2))(2^(3x-7))=2^25	$(2^{2 x + 2}) (2^{3 x - 7}) = 2^{25}$
45534	Find the Slope	(5,-9) and (3,-2)	$(5, - 9)$ and $(3, - 2)$
45535	Find the First Term	n^2+5	$n^{2} + 5$
45536	Round to the Nearest Whole Number	1/3	$\frac{1}{3}$
45537	Solve for x	2x+18+4x+11+55=180	$2 x + 18 + 4 x + 11 + 55 = 180$
45538	Simplify	square root of 3x^6* square root of 8x^3	$\sqrt{3 x^{6}} \cdot \sqrt{8 x^{3}}$
45539	Solve for x	2x^2+5=x^2+30	$2 x^{2} + 5 = x^{2} + 30$
45540	Simplify the Radical Expression	- square root of 4+ square root of -200- square root of 1+ square root of -18	$- \sqrt{4} + \sqrt{- 200} - \sqrt{1} + \sqrt{- 18}$
45541	Simplify	i square root of 2*i square root of 2	$i \sqrt{2} \cdot i \sqrt{2}$
45542	Find the Domain	1/(5x)+(x+3)/(x-7)=0	$\frac{1}{5 x} + \frac{x + 3}{x - 7} = 0$
45543	Solve for h	\|h+3\|<5	$\| h + 3 \| < 5$
45544	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,6) and has a slope of 3/5 ?	What is the equation of the line that passes through the point $(5, 6)$ and has a slope of $\frac{3}{5}$ ?
45545	Solve for C in Degrees	10cos(C)+1=cos(C)-1	$10 \cos (C) + 1 = \cos (C) - 1$
45546	Evaluate	-3(2)^-1	$- 3 {(2)}^{- 1}$
45547	Evaluate Using the Given Value	x^4*x^-2 when x=5	$x^{4} \cdot x^{- 2}$ when $x = 5$
45548	Evaluate the Integral	-1/3 integral from 5 to 2 of (x^3-2) with respect to x	$- \frac{1}{3} \int_{5}^{2} (x^{3} - 2) d x$
45549	Graph	table[[x,y],[1,2],[2,4],[3,6]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 4 \\ 3 & 6 \end{array}$
45550	Simplify the Radical Expression	( square root of 36)/( square root of 6)	$\frac{\sqrt{36}}{\sqrt{6}}$
45551	Solve for x	cube root of 5x^2+7x-4- cube root of 8x=0	$\sqrt[3]{5 x^{2} + 7 x - 4} - \sqrt[3]{8 x} = 0$
45552	Simplify	(d^(4/3))^0	${(d^{\frac{4}{3}})}^{0}$
45553	Simplify	((14c^2f^5)/(9a^2))÷((35cf^4)/(18ab^3))	$\frac{14 c^{2} f^{5}}{9 a^{2}} \div \frac{35 c f^{4}}{18 a b^{3}}$
45554	Add	x^2+x^2+x^2	$x^{2} + x^{2} + x^{2}$
45555	Multiply	16x^4(2x^2y)	$16 x^{4} (2 x^{2} y)$
45556	Simplify	((x-3)/(x^2+4x-21))÷((x^2-25)/(x-5))	$\frac{x - 3}{x^{2} + 4 x - 21} \div \frac{x^{2} - 25}{x - 5}$
45557	Simplify	(x^3)^(2/3)y^3	${(x^{3})}^{\frac{2}{3}} y^{3}$
45558	Simplify	square root of -1/8	$\sqrt{- \frac{1}{8}}$
45559	Simplify the Radical Expression	4 square root of 15(-3 square root of 6+5)	$4 \sqrt{15} (- 3 \sqrt{6} + 5)$
45560	Solve for x	4/5+(x+4)/x=-7/(5x)	$\frac{4}{5} + \frac{x + 4}{x} = \frac{- 7}{5 x}$
45561	Evaluate the Integral	integral of 4x^2(3x+1)^2 with respect to x	$\int 4 x^{2} {(3 x + 1)}^{2} d x$
45562	Evaluate	( cube root of 6* cube root of 72)/( cube root of 2)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{72}}{\sqrt[3]{2}}$
45563	Find the Cosecant Given the Point	( square root of 5,2)	$(\sqrt{5}, 2)$
45564	Describe the Transformation	g(x) = log base 2 of x+4-1	$g (x) = \log_{2} (x + 4) - 1$
45565	Write Using Negative Exponents	4/(y^5)	$\frac{4}{y^{5}}$
45566	Graph	4y^2+x=56y-194 ?	$4 y^{2} + x = 56 y - 194$ ?
45567	Graph	-11>-c/11	$- 11 > - \frac{c}{11}$
45568	Find All Complex Solutions	square root of x+10-9=-7	$\sqrt{x + 10} - 9 = - 7$
45569	Find the Roots (Zeros)	4/x=17/(8x)+3	$\frac{4}{x} = \frac{17}{8 x} + 3$
45570	Graph	x<-5 or x>=3	$x < - 5$ or $x \geq 3$
45571	Find the Product	(2x^2)^2	${(2 x^{2})}^{2}$
45572	Solve for m	2m(m-5)+10=0	$2 m (m - 5) + 10 = 0$
45573	Simplify	-2x square root of 3xy^3z^7	$- 2 x \sqrt{3 x y^{3}} z^{7}$
45574	Evaluate the Derivative at (1/2,16)	f(t)=t^-4 ;, (1/2,16)	$f (t) = t^{- 4}$ ;, $(\frac{1}{2}, 16)$
45575	Convert to a Decimal	cot(180)deg	$\cot (180)$ degrees
45576	Simplify	square root of -6* square root of -3* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 3} \cdot \sqrt{- 5}$
45577	Solve for x	\|3x\|-3=3-6x	$\| 3 x \| - 3 = 3 - 6 x$
45578	Simplify	cube root of 27a^3* fourth root of 16b^8	$\sqrt[3]{27 a^{3}} \cdot \sqrt[4]{16 b^{8}}$
45579	Solve for c	4(2c-8)=16	$4 (2 c - 8) = 16$
45580	Solve for z	(4z)/-16=-16	$\frac{4 z}{- 16} = - 16$
45581	Solve for x	x/2+5=x	$\frac{x}{2} + 5 = x$
45582	Solve for x	x^2+12-8x=0	$x^{2} + 12 - 8 x = 0$
45583	Solve the Inequality for x	5(x-3)+6x>-14	$5 (x - 3) + 6 x > - 14$
45584	Evaluate the Integral	integral of (3x^5+2)/(4x^2) with respect to x	$\int \frac{3 x^{5} + 2}{4 x^{2}} d x$
45585	Solve for x in Degrees	sin(x)^2+sin(x)=0	$\sin^{2} (x) + \sin (x) = 0$
45586	Solve for b	1/5b+1/3=-1/2b+1/2	$\frac{1}{5} b + \frac{1}{3} = - \frac{1}{2} b + \frac{1}{2}$
45587	Find the Holes in the Graph	f(x)=(x^2+5x+8)/(x+3)	$f (x) = \frac{x^{2} + 5 x + 8}{x + 3}$
45588	Simplify	5 cube root of 2a+ cube root of 8a	$5 \sqrt[3]{2 a} + \sqrt[3]{8 a}$
45589	Subtract	(3x^5-9)-(11+13x^2-x^4)-(10x^2+x^4)	$(3 x^{5} - 9) - (11 + 13 x^{2} - x^{4}) - (10 x^{2} + x^{4})$
45590	Graph	-2x+y=0 , x<=0	$- 2 x + y = 0$ , $x \leq 0$
45591	Solve for x	-(x+2/3)+1/2=7/6-1/2x	$- (x + \frac{2}{3}) + \frac{1}{2} = \frac{7}{6} - \frac{1}{2} x$
45592	Evaluate	(4(2)+4^2)/2	$\frac{4 (2) + 4^{2}}{2}$
45593	Combine Like Terms	2.5+4(3/4a-5)-9.5	$2.5 + 4 (\frac{3}{4} a - 5) - 9.5$
45594	Solve for p	12/25=p/100	$\frac{12}{25} = \frac{p}{100}$
45595	Find the Vertex	y=5-\|x-1\|	$y = 5 - \| x - 1 \|$
45596	Evaluate	fifth root of 10^2* cube root of 10^4	$\sqrt[5]{10^{2}} \cdot \sqrt[3]{10^{4}}$
45597	Simplify	2( square root of 48+ square root of 27)	$2 (\sqrt{48} + \sqrt{27})$
45598	Find the Maximum/Minimum Value	y=x^4-4x^3+2	$y = x^{4} - 4 x^{3} + 2$
45599	Evaluate	(1/3)^x=27	${(\frac{1}{3})}^{x} = 27$
45600	Find the Excluded Values	(24+5n-n^2)/(n^2-16n+64)	$\frac{24 + 5 n - n^{2}}{n^{2} - 16 n + 64}$