Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46301	Evaluate	\|x\|=-x	$\| x \| = - x$
46302	Simplify	((y^2)/25)^(1/2)	${(\frac{y^{2}}{25})}^{\frac{1}{2}}$
46303	Find the Antiderivative	x^3 square root of x^2+9	$x^{3} \sqrt{x^{2} + 9}$
46304	Simplify the Radical Expression	square root of fourth root of 25	$\sqrt{\sqrt[4]{25}}$
46305	Evaluate	-5 = square root of 3x-7	$- 5 = \sqrt{3 x - 7}$
46306	Evaluate	square root of (1- square root of 3)^2	$\sqrt{{(1 - \sqrt{3})}^{2}}$
46307	Solve for x	-8+ cube root of 2x-27=-5	$- 8 + \sqrt[3]{2 x - 27} = - 5$
46308	Solve the Rational Equation for x	2 square root of x+1=14	$2 \sqrt{x + 1} = 14$
46309	Simplify	2^-4-3^3*5^-2	$2^{- 4} - 3^{3} \cdot 5^{- 2}$
46310	Find the Exact Value	(6^2+60)/(2^3)	$\frac{(6^{2} + 60)}{2^{3}}$
46311	Simplify	(x^2+2x+4)/(x^3-8)	$\frac{(x^{2} + 2 x + 4)}{(x^{3} - 8)}$
46312	Evaluate the Function	g(-2)=3(-2)^3+5	$g (- 2) = 3 {(- 2)}^{3} + 5$
46313	Graph	2x-5y=10 y=-2/5x+2	$2 x - 5 y = 10$ $y = - \frac{2}{5} x + 2$
46314	Find the Derivative - d/dx	10^(x^3-4x^2+9)	$10^{x^{3} - 4 x^{2} + 9}$
46315	Solve for x	-9/x=x/-9	$- \frac{9}{x} = \frac{x}{- 9}$
46316	Evaluate	tan(-3pi)	$\tan (- 3 π)$
46317	Simplify	( square root of 8a^3)÷( square root of 2a)	$\sqrt{8 a^{3}} \div \sqrt{2 a}$
46318	Solve for y	x = square root of y+2	$x = \sqrt{y + 2}$
46319	Simplify	fourth root of x^2* fifth root of x^3	$\sqrt[4]{x^{2}} \cdot \sqrt[5]{x^{3}}$
46320	Graph	y<((x+3)(x-4))/(x-4)	$y < \frac{(x + 3) (x - 4)}{x - 4}$
46321	Solve for y	y+-4=9	$y + - 4 = 9$
46322	Find the Inverse	y=2 square root of x+7	$y = 2 \sqrt{x + 7}$
46323	Find the Derivative - d/dx	1/x natural log of x	$\frac{1}{x} \ln (x)$
46324	Evaluate	(12÷3*3)^2	${(12 \div 3 \cdot 3)}^{2}$
46325	Find the Antiderivative	x/( square root of 2x^2+3)	$\frac{x}{\sqrt{2 x^{2} + 3}}$
46326	Find the Holes in the Graph	f(x)=-2/((x-3)^2)	$f (x) = \frac{- 2}{{(x - 3)}^{2}}$
46327	Solve for b	r=(b-1)m	$r = (b - 1) m$
46328	Solve by Factoring	x^2+17x+9=13x-3	$x^{2} + 17 x + 9 = 13 x - 3$
46329	Evaluate	-5/6+1/3(-3/5)	$- \frac{5}{6} + \frac{1}{3} (- \frac{3}{5})$
46330	Factor	e^(2x)-e^x	$e^{2 x} - e^{x}$
46331	Subtract	3 square root of 27u-2 square root of 12u	$3 \sqrt{27 u} - 2 \sqrt{12 u}$
46332	Solve for w	6w-13w-18=-81	$6 w - 13 w - 18 = - 81$
46333	Simplify	3x^(8/3)y^-2 cube root of 8xy^3	$3 x^{\frac{8}{3}} y^{- 2} \sqrt[3]{8 x y^{3}}$
46334	Evaluate Using the Given Value	-4a^2+2a-1 when a=-3	$- 4 a^{2} + 2 a - 1$ when $a = - 3$
46335	Solve the System of Equations	3x^2-2y^2=-24 2y=-3x	$3 x^{2} - 2 y^{2} = - 24$ $2 y = - 3 x$
46336	Find the Exact Value	2^32^62	$2^{3} \cdot 2^{6} \cdot 2$
46337	Find f(g(x))	f(x)=x^2+x+10 g(x)=-5x-3	$f (x) = x^{2} + x + 10$ $g (x) = - 5 x - 3$
46338	Solve for x	3-x-6=6-4x	$3 - x - 6 = 6 - 4 x$
46339	Simplify	(g^3-2g^2+5g+6)-(g^2+2g)	$(g^{3} - 2 g^{2} + 5 g + 6) - (g^{2} + 2 g)$
46340	Simplify	2(3x+x)	$2 (3 x + x)$
46341	Simplify	9/10+1/6	$\frac{9}{10} + \frac{1}{6}$
46342	Write in Standard Form	y=x(x-3)	$y = x (x - 3)$
46343	Graph	y=x+1 2y=2x+2	$y = x + 1$ $2 y = 2 x + 2$
46344	Find the Product	square root of 6-3	$\sqrt{6 - 3}$
46345	Convert to Interval Notation	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
46346	Solve for x	(4z^3)/x=7y	$\frac{4 z^{3}}{x} = 7 y$
46347	Find the Parabola with Focus (0,-5) and Directrix y=-3	(0,-5) y=-3	$(0, - 5)$ $y = - 3$
46348	Evaluate the Integral	integral from pi/3 to pi/2 of sin(x) with respect to x	$\int_{\frac{π}{3}}^{\frac{π}{2}} \sin (x) d x$
46349	Write in Standard Form	y=1x-3	$y = 1 x - 3$
46350	Simplify	-6x^2-2x+5-2x^2+8	$- 6 x^{2} - 2 x + 5 - 2 x^{2} + 8$
46351	Find the Asymptotes	f(x)=((3x+4)(x+2))/((x-4)(x+2))	$f (x) = \frac{(3 x + 4) (x + 2)}{(x - 4) (x + 2)}$
46352	Find the Derivative - d/dk	kx	$k x$
46353	Find the Roots (Zeros)	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
46354	Factor	x^4-4x^3-12x^2-x^2+4x+12	$x^{4} - 4 x^{3} - 12 x^{2} - x^{2} + 4 x + 12$
46355	Solve the System of Equations	x^2+y^2=25 2x-y=5	$x^{2} + y^{2} = 25$ $2 x - y = 5$
46356	Solve the System of Inequalities	x>=-1 or x<2	$x \geq - 1$ or $x < 2$
46357	Solve for x	cos(x)^2=-1	$\cos^{2} (x) = - 1$
46358	Convert to a Decimal	cos(51)deg	$\cos (51)$ degrees
46359	Find the Function Rule	table[[x,y],[0,0],[1,1],[2,4],[3,9]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \end{array}$
46360	Simplify	4 square root of 3+2/( square root of 3)	$4 \sqrt{3} + \frac{2}{\sqrt{3}}$
46361	Evaluate the Limit	limit as x approaches infinity of 4/(x+5)	$lim_{x \to \infty} \frac{4}{x + 5}$
46362	Describe the Transformation	f(x) = cube root of x g(x)=-5 cube root of x	$f (x) = \sqrt[3]{x}$ $g (x) = - 5 \sqrt[3]{x}$
46363	Find the Degree, Leading Term, and Leading Coefficient	h(x)=6x^3-9x^-3+x^2-5x-1	$h (x) = 6 x^{3} - 9 x^{- 3} + x^{2} - 5 x - 1$
46364	Find the Inverse	f(x)=((x^5)/7)^(1/7)-1	$f (x) = {(\frac{x^{5}}{7})}^{\frac{1}{7}} - 1$
46365	Rationalize the Denominator	( square root of 4)/( square root of 121)	$\frac{\sqrt{4}}{\sqrt{121}}$
46366	Evaluate	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
46367	Solve for x	\|x-1\|+1=0	$\| x - 1 \| + 1 = 0$
46368	Solve for x	4/9=x/(x+15)	$\frac{4}{9} = \frac{x}{x + 15}$
46369	Find the Asymptotes	(2(x+5)(x-8))/(x(x+5))	$\frac{2 (x + 5) (x - 8)}{x (x + 5)}$
46370	Evaluate	tan(theta)=3/4	$\tan (θ) = \frac{3}{4}$
46371	Find Amplitude, Period, and Phase Shift	y=4sin((3x)/2+4/3)	$y = 4 \sin (\frac{3 x}{2} + \frac{4}{3})$
46372	Divide	1 2/10÷1 4/10	$1 \frac{2}{10} \div 1 \frac{4}{10}$
46373	Find the Cosine of the Angle	-(3pi)/4	$- \frac{3 π}{4}$
46374	Find the Domain	log base (5-x) of x-3	$\log_{(5 - x)} (x - 3)$
46375	Solve for b	(5^4)/(5^3)=5^b	$\frac{5^{4}}{5^{3}} = 5^{b}$
46376	Solve for y	(y-6)h=C	$(y - 6) h = C$
46377	Simplify	(1-sin(theta)^2)(1+cot(theta)^2)	$(1 - \sin^{2} (θ)) (1 + \cot^{2} (θ))$
46378	Solve for V	V=5a2a(a^3-3a^2+a)	$V = 5 a \cdot 2 a \cdot (a^{3} - 3 a^{2} + a)$
46379	Factor	a(x+y)^2+b^2(x+y)	$a {(x + y)}^{2} + b^{2} (x + y)$
46380	Solve for x	5/(2x+2)-1/6=2/(x+3)	$\frac{5}{2 x + 2} - \frac{1}{6} = \frac{2}{x + 3}$
46381	Factor	x^5+x^3-x^2-1	$x^{5} + x^{3} - x^{2} - 1$
46382	Evaluate the Integral	integral from 1 to 2 of (x^2-1)/(x+1) with respect to x	$\int_{1}^{2} \frac{x^{2} - 1}{x + 1} d x$
46383	Find the Antiderivative	(dx)/((3-2x)^5)	$\frac{d x}{{(3 - 2 x)}^{5}}$
46384	Find the Quadratic Equation Given the Roots	-3 and -2/3	$- 3$ and $- \frac{2}{3}$
46385	Find the Equation Using Point-Slope Formula	(8,-1) and slope m=-3	$(8, - 1)$ and slope $m = - 3$
46386	Evaluate	48/(cos(72))	$\frac{48}{\cos (72)}$
46387	Simplify the Radical Expression	(5 square root of -1)(-5 square root of 16)	$(5 \sqrt{- 1}) (- 5 \sqrt{16})$
46388	Evaluate Using the Given Value	Evaluate 5-t/3 when t=12	Evaluate $5 - \frac{t}{3}$ when $t = 12$
46389	Solve for x	(x-4)-(x+7)=8x	$(x - 4) - (x + 7) = 8 x$
46390	Find the Function	f(x)=(-x)^(1/2)	$f (x) = {(- x)}^{\frac{1}{2}}$
46391	Solve for x	log base 5 of 25/x=4+ log base 5 of x	$\log_{5} (\frac{25}{x}) = 4 + \log_{5} (x)$
46392	Solve for x	square root of x+3-x=3	$\sqrt{x + 3 - x} = 3$
46393	Simplify	-(c^10)/(7c)	$- \frac{c^{10}}{7 c}$
46394	Simplify	(6p)/( square root of 4p^7)	$\frac{6 p}{\sqrt{4 p^{7}}}$
46395	Solve the Inequality for x	3x<6(x-1)-12	$3 x < 6 (x - 1) - 12$
46396	Solve for y	3/2=1/6(12y-24)	$\frac{3}{2} = \frac{1}{6} (12 y - 24)$
46397	Evaluate	sin(60 degrees )^2	$\sin^{2} (60 °)$
46398	Evaluate	pi-cos(pi)	$π - \cos (π)$
46399	Simplify	(x^2+12x+32)-(x+4)	$(x^{2} + 12 x + 32) - (x + 4)$
46400	Solve the Inequality for x	6(x+5)-7<=8x+1	$6 (x + 5) - 7 \leq 8 x + 1$