Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5301	Multiply	2 square root of 5* square root of 7	$2 \sqrt{5} \cdot \sqrt{7}$
5302	Find the Domain	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
5303	Simplify	(2x^2-18x)/(3x+12)*(x+4)/(x-9)	$\frac{2 x^{2} - 18 x}{3 x + 12} \cdot \frac{x + 4}{x - 9}$
5304	Convert to a Decimal	13rad	$13$ radians
5305	Graph	x+3y<3 x-2y>=4	$x + 3 y < 3$ $x - 2 y \geq 4$
5306	Evaluate	(3n^4)/(3n^3)	$\frac{3 n^{4}}{3 n^{3}}$
5307	Simplify	cube root of (9x^6)/(y^3z^9)	$\sqrt[3]{\frac{9 x^{6}}{y^{3} z^{9}}}$
5308	Solve for x	10^(2x^2-6)=(1/100)^(-4x-2)	$10^{2 x^{2} - 6} = {(\frac{1}{100})}^{- 4 x - 2}$
5309	Solve the System of Equations	y=2x^2-5x+9 y=2x^2+5x-1	$y = 2 x^{2} - 5 x + 9$ $y = 2 x^{2} + 5 x - 1$
5310	Identify the Zeros and Their Multiplicities	-2x(3x+1)^2(x+7)^7	$- 2 x {(3 x + 1)}^{2} {(x + 7)}^{7}$
5311	Solve for x	cube root of x+7>=3	$\sqrt[3]{x + 7} \geq 3$
5312	Solve for c	0.5+3(5c-0.7)=13c	$0.5 + 3 (5 c - 0.7) = 13 c$
5313	Factor	-4(x+1)+6x	$- 4 (x + 1) + 6 x$
5314	Evaluate	1/8+2 3/4+1/2	$\frac{1}{8} + 2 \frac{3}{4} + \frac{1}{2}$
5315	Simplify	((2r^5w^3)/(r^4w^3))^4	${(\frac{2 r^{5} w^{3}}{r^{4} w^{3}})}^{4}$
5316	Solve for y	5y-(2(y+1)+2)=7y	$5 y - (2 (y + 1) + 2) = 7 y$
5317	Simplify	square root of 4x^2+2x+1/4	$\sqrt{4 x^{2} + 2 x + \frac{1}{4}}$
5318	Solve for θ	cot(theta)=1/( square root of 3)	$\cot (θ) = \frac{1}{\sqrt{3}}$
5319	Convert to Radical Form	(3x+4)^(-5/4)	${(3 x + 4)}^{- \frac{5}{4}}$
5320	Simplify	3x^0y	$3 x^{0} y$
5321	Find the Derivative - d/dx	y = natural log of sinh(3x)	$y = \ln (\sinh (3 x))$
5322	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x^3-7x	$f (x) = 9 x^{3} - 7 x$
5323	Evaluate	((3x)/2)^4	${(\frac{3 x}{2})}^{4}$
5324	Evaluate Using Summation Formulas	sum from i=1 to n of (3i-1)^2	$\sum_{i = 1}^{n} {(3 i - 1)}^{2}$
5325	Solve for x	square root of x-5+x=3	$\sqrt{x - 5} + x = 3$
5326	Simplify the Radical Expression	2 square root of 8p^2q^3r	$2 \sqrt{8 p^{2} q^{3} r}$
5327	Simplify	17(1/6x-1)+1/6x	$17 (\frac{1}{6} x - 1) + \frac{1}{6} x$
5328	Solve for a	b=h/a for a	$b = \frac{h}{a}$ for $a$
5329	Expand the Trigonometric Expression	(1+cos(2y))/(sin(2y))	$\frac{1 + \cos (2 y)}{\sin (2 y)}$
5330	Find the Derivative - d/dx	(d^43)/(dx^43)(sin(3x)+2^(5x))	$\frac{d^{43}}{d x^{43}} (\sin (3 x) + 2^{5 x})$
5331	Verify the Identity	cos(A+B)=cos(A)cos(B)-sin(A)sin(B)	$\cos (A + B) = \cos (A) \cos (B) - \sin (A) \sin (B)$
5332	Simplify	((c^-3)^2d^4)/(d^-2)	$\frac{{(c^{- 3})}^{2} d^{4}}{d^{- 2}}$
5333	Simplify	square root of 8x^3+ square root of 2x^5-3 square root of 50x	$\sqrt{8 x^{3}} + \sqrt{2 x^{5}} - 3 \sqrt{50 x}$
5334	Simplify	-3w^-2*2r^-3	$- 3 w^{- 2} \cdot 2 r^{- 3}$
5335	Simplify	((((4x^-1)^(1/2))^(-2/3))^-1)^3	${({({({(4 x^{- 1})}^{\frac{1}{2}})}^{- \frac{2}{3}})}^{- 1})}^{3}$
5336	Multiply	(x^2y^3z^5)(5x^3y^2)	$(x^{2} y^{3} z^{5}) (5 x^{3} y^{2})$
5337	Find Amplitude, Period, and Phase Shift	y=2cot(1/2theta)+1	$y = 2 \cot (\frac{1}{2} θ) + 1$
5338	Solve for x	x^2+3x+7=-\|2x\|+12	$x^{2} + 3 x + 7 = - \| 2 x \| + 12$
5339	Add	(6y-4)/(y^2-5)+(3y+1)/(y^2-5)	$\frac{6 y - 4}{y^{2} - 5} + \frac{3 y + 1}{y^{2} - 5}$
5340	Solve for n	square root of n-15=3- square root of n	$\sqrt{n - 15} = 3 - \sqrt{n}$
5341	Simplify	( cube root of x^8)/((x^4)^(1/3))	$\frac{\sqrt[3]{x^{8}}}{{(x^{4})}^{\frac{1}{3}}}$
5342	Evaluate the Limit	limit as x approaches infinity of (5+x^-2)/(3x^-2+1)	$lim_{x \to \infty} \frac{5 + x^{- 2}}{3 x^{- 2} + 1}$
5343	Convert from Radians to Degrees	10rad	$10$ rad
5344	Simplify	(8a-18)/(3a^2+14a+8)+7/(3a+2)	$\frac{8 a - 18}{3 a^{2} + 14 a + 8} + \frac{7}{3 a + 2}$
5345	Describe the Transformation	y=-3 square root of x	$y = - 3 \sqrt{x}$
5346	Solve for w	-2/3w+5=4	$- \frac{2}{3} w + 5 = 4$
5347	Multiply	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
5348	Simplify	x/(2- square root of 3)	$\frac{x}{2 - \sqrt{3}}$
5349	Simplify	(-3a^3)^2(2ab)^4	${(- 3 a^{3})}^{2} {(2 a b)}^{4}$
5350	Simplify the Radical Expression	( fourth root of 2)(2 fourth root of 32)	$(\sqrt[4]{2}) (2 \sqrt[4]{32})$
5351	Convert to Rectangular	(4(cos((9pi)/4)+isin((9pi)/4)))÷2(cos((3pi)/2)+isin((3pi)/2))	$4 (\cos (\frac{9 π}{4}) + i \sin (\frac{9 π}{4})) \div 2 (\cos (\frac{3 π}{2}) + i \sin (\frac{3 π}{2}))$
5352	Find the Maximum/Minimum Value	f(x)=-x^4+4x^2-3x-2	$f (x) = - x^{4} + 4 x^{2} - 3 x - 2$
5353	Find the End Behavior	f(x)=-9x^5-1440x^2+2160x-1152+360x^3	$f (x) = - 9 x^{5} - 1440 x^{2} + 2160 x - 1152 + 360 x^{3}$
5354	Describe the Transformation	f(x)=-1/5\|x-3\|+7	$f (x) = - \frac{1}{5} \| x - 3 \| + 7$
5355	Solve for r	square root of r=12	$\sqrt{r} = 12$
5356	Write in Slope-Intercept Form	5x-y>=0	$5 x - y \geq 0$
5357	Factor	63x^4y-9x^2y^3	$63 x^{4} y - 9 x^{2} y^{3}$
5358	Simplify the Radical Expression	sixth root of 27x^15y^12z^3	$\sqrt[6]{27 x^{15} y^{12} z^{3}}$
5359	Find the Domain and Range	2x=y	$2 x = y$
5360	Simplify the Radical Expression	((m^(1/2)n^(2/3))/(m^(2/5)n^(3/4)))^6	${(\frac{m^{\frac{1}{2}} n^{\frac{2}{3}}}{m^{\frac{2}{5}} n^{\frac{3}{4}}})}^{6}$
5361	Solve the Inequality for x	2x+3y<6	$2 x + 3 y < 6$
5362	Multiply	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
5363	Solve for x	Solve log of x=3	Solve $\log (x) = 3$
5364	Simplify the Radical Expression	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
5365	Convert to a Percentage	What percent of 25 is 12 ?	What percent of $25$ is $12$ ?
5366	Simplify	10x square root of (x^2)/12	$10 x \sqrt{\frac{x^{2}}{12}}$
5367	Simplify	( square root of 21x^12)/( square root of 3x^3)	$\frac{\sqrt{21 x^{12}}}{\sqrt{3 x^{3}}}$
5368	Simplify	(4y^3)(-5y^2)(3y)	$(4 y^{3}) (- 5 y^{2}) (3 y)$
5369	Solve for b	A=0.5h(a+b)	$A = 0.5 h (a + b)$
5370	Evaluate the Limit	limit as x approaches 3 of (x^2-9)/(x-3)+ square root of x^2+5	$lim_{x \to 3} \frac{x^{2} - 9}{x - 3} + \sqrt{x^{2} + 5}$
5371	Simplify	( square root of 2)/( square root of 2-1)	$\frac{\sqrt{2}}{\sqrt{2 - 1}}$
5372	Simplify	(-3/(4c))^3	${(- \frac{3}{4 c})}^{3}$
5373	Simplify	eighth root of w^3*w^-1	$\sqrt[8]{w^{3} \cdot w^{- 1}}$
5374	Simplify	(x^2-2)-(3x+5)	$(x^{2} - 2) - (3 x + 5)$
5375	Graph	The graph of y=f(x) is shown below. Draw the graph of y=1/2f(x)	The graph of $y = f (x)$ is shown below. Draw the graph of $y = \frac{1}{2} f (x)$
5376	Solve for n	7(1+4n)=7(6+3n)	$7 (1 + 4 n) = 7 (6 + 3 n)$
5377	Write the Fraction in Simplest Form	((3a^4)^5)/(4a)	$\frac{{(3 a^{4})}^{5}}{4 a}$
5378	Simplify	(rn)(rn^3)(n^2)	$(r n) (r n^{3}) (n^{2})$
5379	Rationalize the Denominator	(15 square root of 60x^5)/(3 square root of 12x)	$\frac{15 \sqrt{60 x^{5}}}{3 \sqrt{12 x}}$
5380	Simplify	(a^2)/(ax-x^2)+x/(x-a)	$\frac{a^{2}}{a x - x^{2}} + \frac{x}{x - a}$
5381	Graph	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$
5382	Solve for x	square root of x-2x+7=0	$\sqrt{x - 2 x + 7} = 0$
5383	Solve for a	(a+bc)(d-e)=f	$(a + b c) (d - e) = f$
5384	Solve by Graphing	y=-3/5x+2 y=-6/5x-1	$y = - \frac{3}{5} x + 2$ $y = - \frac{6}{5} x - 1$
5385	Simplify	1/2-2^-4*4^2	$\frac{1}{2} - 2^{- 4} \cdot 4^{2}$
5386	Simplify	(5-10x)/6*(6x+8)/(10-20x)	$\frac{5 - 10 x}{6} \cdot \frac{6 x + 8}{10 - 20 x}$
5387	Simplify	2 square root of 53 square root of 2 square root of 6	$2 \sqrt{5} \cdot 3 \sqrt{2} \cdot \sqrt{6}$
5388	Solve for A	A=1/2(a+b)	$A = \frac{1}{2} (a + b)$
5389	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-7x^2-7-4x^4	$f (x) = - 7 x^{2} - 7 - 4 x^{4}$
5390	Solve the System of Equations	x+y+z=1 2x+4y+6z=2 -x+3y-5z=11	$x + y + z = 1$ $2 x + 4 y + 6 z = 2$ $- x + 3 y - 5 z = 11$
5391	Solve for x	6x^3(x^2+1)^(-1/2)-4x(x^2+1)^(1/2)=0	$6 x^{3} {(x^{2} + 1)}^{- \frac{1}{2}} - 4 x {(x^{2} + 1)}^{\frac{1}{2}} = 0$
5392	Solve the Function Operation	f(x) = square root of x-2 ; find f^-1(x)	$f (x) = \sqrt{x - 2}$ ; find $f^{- 1} (x)$
5393	Solve for x	2(4x-1)+10x=6(3x+4)-26	$2 (4 x - 1) + 10 x = 6 (3 x + 4) - 26$
5394	Solve for x	2x^8=128	$2 x^{8} = 128$
5395	Simplify	1/24x^2(8x^3+x^2+2x)-1/22x^2(6x^3+2x)	$\frac{1}{2} \cdot 4 x^{2} (8 x^{3} + x^{2} + 2 x) - \frac{1}{2} \cdot 2 x^{2} (6 x^{3} + 2 x)$
5396	Simplify	fifth root of 5^2* square root of 5^3	$\sqrt[5]{5^{2}} \cdot \sqrt{5^{3}}$
5397	Solve for x	x/2-7=y/3	$\frac{x}{2} - 7 = \frac{y}{3}$
5398	Graph	8x-2y>6 32x-8y>-24	$8 x - 2 y > 6$ $32 x - 8 y > - 24$
5399	Simplify	(y/x-x/y)/(4/y-4/x)	$\frac{\frac{y}{x} - \frac{x}{y}}{\frac{4}{y} - \frac{4}{x}}$
5400	Simplify	(d^2e^3f^5)/(e^6f^7g^8)	$\frac{d^{2} e^{3} f^{5}}{e^{6} f^{7} g^{8}}$