Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42201	Solve the Function Operation	f(x)=7 cube root of x+8 ; find f^-1(x)	$f (x) = 7 \sqrt[3]{x + 8}$ ; find $f^{- 1} (x)$
42202	Write as a Single Logarithm	1/2( log base 5 of x^6+ log base 5 of x^3)	$\frac{1}{2} (\log_{5} (x^{6}) + \log_{5} (x^{3}))$
42203	Find the Derivative - d/dx	y=(-x^2+e^x)(2sin(x)+cos(x))	$y = (- x^{2} + e^{x}) (2 \sin (x) + \cos (x))$
42204	Solve for x	x+2(3x-1)=0	$x + 2 (3 x - 1) = 0$
42205	Simplify	(x-4y)/(12x)-(4x+5y)/(12x)	$\frac{x - 4 y}{12 x} - \frac{4 x + 5 y}{12 x}$
42206	Solve for k	x=(4-k)/6	$x = \frac{4 - k}{6}$
42207	Graph	f(x)=(x^2+5x)/(-2x^2+7x)	$f (x) = \frac{x^{2} + 5 x}{- 2 x^{2} + 7 x}$
42208	Simplify	(5+4i^2)+(9-4i^4)	$(5 + 4 i^{2}) + (9 - 4 i^{4})$
42209	Write in Standard Form	2/5m-4/5-3/5m	$\frac{2}{5} m - \frac{4}{5} - \frac{3}{5} m$
42210	Solve the System of Equations	-2z=6 3y+4z=-6 -2x+5y+5z=-9	$- 2 z = 6$ $3 y + 4 z = - 6$ $- 2 x + 5 y + 5 z = - 9$
42211	Find Amplitude, Period, and Phase Shift	y=cos(x/4+pi/4)-2	$y = \cos (\frac{x}{4} + \frac{π}{4}) - 2$
42212	Simplify	20-10\|7-4(1+1)\|	$20 - 10 \| 7 - 4 (1 + 1) \|$
42213	Find All Complex Solutions	1/2x^4=648	$\frac{1}{2} x^{4} = 648$
42214	Graph	y=3^x , [-2,2]	$y = 3^{x}$ , $[- 2, 2]$
42215	Solve the System of Equations	-3x+3y=12 and 5x+5y=10	$- 3 x + 3 y = 12$ and $5 x + 5 y = 10$
42216	Solve the Inequality for g	18>-3g	$18 > - 3 g$
42217	Evaluate the Integral	integral of -4/( square root of 16-36x^2) with respect to x	$\int \frac{- 4}{\sqrt{16 - 36 x^{2}}} d x$
42218	Solve for x	-3/8(x-6)=5+3x	$- \frac{3}{8} (x - 6) = 5 + 3 x$
42219	Find the End Behavior	y=-(x^2+1)(2x^4-3)	$y = - (x^{2} + 1) (2 x^{4} - 3)$
42220	Simplify the Radical Expression	square root of 121- square root of -81+ square root of 144+ square root of -4	$\sqrt{121} - \sqrt{- 81} + \sqrt{144} + \sqrt{- 4}$
42221	Simplify	1/(n-10)*(n^2-3n-70)/(6n^2)	$\frac{1}{n - 10} \cdot \frac{n^{2} - 3 n - 70}{6 n^{2}}$
42222	Find the Product	(5^-1)(5^-3)	$(5^{- 1}) (5^{- 3})$
42223	Graph	y>=0 y>=1/2x+2 y<=-1/2x+2	$y \geq 0$ $y \geq \frac{1}{2} x + 2$ $y \leq - \frac{1}{2} x + 2$
42224	Find the Domain	50/(4x-12)+(x-4)/(x^2+x-12)=x/2	$\frac{50}{4 x - 12} + \frac{x - 4}{x^{2} + x - 12} = \frac{x}{2}$
42225	Convert to a Decimal	cos(56)deg	$\cos (56)$ degrees
42226	Find the Derivative - d/dx	(1-sin(x))^(-1/2)	${(1 - \sin (x))}^{- \frac{1}{2}}$
42227	Evaluate	50% of 20	$50 %$ of $20$
42228	Add	2/4+3/4+3	$\frac{2}{4} + \frac{3}{4} + 3$
42229	Simplify	(7+9x^4)-(3x^5+8+2x^4)	$(7 + 9 x^{4}) - (3 x^{5} + 8 + 2 x^{4})$
42230	Simplify	(9x^2)/(3x-1)+1/(1-3x)	$\frac{9 x^{2}}{3 x - 1} + \frac{1}{1 - 3 x}$
42231	Graph Using a Table of Values	y=1.5^x	$y = {1.5}^{x}$
42232	Solve for y	7-7\|4y\|=-105	$7 - 7 \| 4 y \| = - 105$
42233	Find the Slope	(-3,-5) and (6,-2)	$(- 3, - 5)$ and $(6, - 2)$
42234	Simplify	(2^-3)/(m^0n^-1)	$\frac{2^{- 3}}{m^{0} n^{- 1}}$
42235	Simplify the Radical Expression	(4r^0)^4	${(4 r^{0})}^{4}$
42236	Evaluate the Function	g(x) = square root of 3x-1 , g(x+h)	$g (x) = \sqrt{3 x - 1}$ , $g (x + h)$
42237	Solve the System of Equations	-x+y=14 and -5x-7y=10	$- x + y = 14$ and $- 5 x - 7 y = 10$
42238	Simplify	(2a^2b+9ab)^2	${(2 a^{2} b + 9 a b)}^{2}$
42239	Divide	(6-2i)/(4+i)	$\frac{6 - 2 i}{4 + i}$
42240	Write in Standard Form	h(x)=5x^3-7x^-2+x-1	$h (x) = 5 x^{3} - 7 x^{- 2} + x - 1$
42241	Simplify	(5x+2)+(x^2-9)+(x^2-7x+12)	$(5 x + 2) + (x^{2} - 9) + (x^{2} - 7 x + 12)$
42242	Simplify	2 5/8-5 3/4+2	$2 \frac{5}{8} - 5 \frac{3}{4} + 2$
42243	Evaluate	(y^2+2y-3)-(4y^2-5y-2)	$(y^{2} + 2 y - 3) - (4 y^{2} - 5 y - 2)$
42244	Solve for x	3/(8x)+1/4=5/(2x)	$\frac{3}{8 x} + \frac{1}{4} = \frac{5}{2 x}$
42245	Simplify the Radical Expression	8 square root of 16-2 cube root of 8+ fourth root of 16	$8 \sqrt{16} - 2 \sqrt[3]{8} + \sqrt[4]{16}$
42246	Evaluate the Integral	integral of 9/(2(9-2x)^(1/4)) with respect to x	$\int \frac{9}{2 {(9 - 2 x)}^{\frac{1}{4}}} d x$
42247	Divide	(60a^2b^4+40ab^5+10b^6+5ab^2)/(-10a^2b^3)	$\frac{60 a^{2} b^{4} + 40 a b^{5} + 10 b^{6} + 5 a b^{2}}{- 10 a^{2} b^{3}}$
42248	Solve the System of Inequalities	x+y<=-1 x+y>=3	$x + y \leq - 1$ $x + y \geq 3$
42249	Simplify	8x^0+5	$8 x^{0} + 5$
42250	Divide	(2x-1)/x	$\frac{2 x - 1}{x}$
42251	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-8) and has a slope of 4 ?	What is the equation of the line that passes through the point $(- 4, - 8)$ and has a slope of $4$ ?
42252	Find the Domain and Range	y=3sin(-x/3)	$y = 3 \sin (- \frac{x}{3})$
42253	Evaluate	3(x+2)^2+4	$3 {(x + 2)}^{2} + 4$
42254	Simplify	5/2-1/(x^3)	$\frac{5}{2} - \frac{1}{x^{3}}$
42255	Solve for u	27=u^3	$27 = u^{3}$
42256	Simplify	(6 cube root of 24)/(2 cube root of 2)	$\frac{6 \sqrt[3]{24}}{2 \sqrt[3]{2}}$
42257	Solve for x	x^5+4x^3=5x^4-2x^3	$x^{5} + 4 x^{3} = 5 x^{4} - 2 x^{3}$
42258	Evaluate	-(0)^4-8(0)^3-18(0)^2+7	$- {(0)}^{4} - 8 {(0)}^{3} - 18 {(0)}^{2} + 7$
42259	Find the Derivative - d/dx	square root of (x^2-3x)/(2x+1)	$\sqrt{\frac{x^{2} - 3 x}{2 x + 1}}$
42260	Simplify	( square root of 160a^6b^2+ square root of 40a^4b^2)/( square root of 20ab)	$\frac{\sqrt{160 a^{6} b^{2}} + \sqrt{40 a^{4} b^{2}}}{\sqrt{20 a b}}$
42261	Multiply	(2- square root of 5)*(2- square root of 5)	$(2 - \sqrt{5}) \cdot (2 - \sqrt{5})$
42262	Solve for x	3x+2(x-8)>x	$3 x + 2 (x - 8) > x$
42263	Graph	y=1/2x^4	$y = \frac{1}{2} x^{4}$
42264	Divide	((x+4)/(x^2+2))÷((x^2-2)/(x-8))	$\frac{x + 4}{x^{2} + 2} \div \frac{x^{2} - 2}{x - 8}$
42265	Find dy/dx	y=3sin(2x^3)^2	$y = 3 \sin^{2} (2 x^{3})$
42266	Convert to a Percentage	0.2*100	$0.2 \cdot 100$
42267	Simplify	18-12+2*3^2-12÷(1+1)	$18 - 12 + 2 \cdot 3^{2} - 12 \div (1 + 1)$
42268	Solve the Inequality for q	q/7+1>-5	$\frac{q}{7} + 1 > - 5$
42269	Find the Product	(-9x^2-10y)^2	${(- 9 x^{2} - 10 y)}^{2}$
42270	Divide	((x^2+15x+56)/x)÷((x^2+2x-35)/(4x-20))	$\frac{x^{2} + 15 x + 56}{x} \div \frac{x^{2} + 2 x - 35}{4 x - 20}$
42271	Find the Antiderivative	(x+1)/(2x+3)	$\frac{x + 1}{2 x + 3}$
42272	Determine if (-3,-4) is a Solution	5x-y>-2 , (-3,-4)	$5 x - y > - 2$ , $(- 3, - 4)$
42273	Solve by Factoring	x^3-5x^2-4x-20=0	$x^{3} - 5 x^{2} - 4 x - 20 = 0$
42274	Divide	(4+3i)/(-10+i)	$\frac{4 + 3 i}{- 10 + i}$
42275	Graph	x^2+y^2=y	$x^{2} + y^{2} = y$
42276	Evaluate the Function	p(11)=5(x^2+1)+16	$p (11) = 5 (x^{2} + 1) + 16$
42277	Divide	((x^2+3x-28)/(2x^3))÷((x^2-7x+12)/(x-3))	$\frac{x^{2} + 3 x - 28}{2 x^{3}} \div \frac{x^{2} - 7 x + 12}{x - 3}$
42278	Rationalize the Denominator	(4+ square root of 27)/(2-3 square root of 27)	$\frac{4 + \sqrt{27}}{2 - 3 \sqrt{27}}$
42279	Solve for P	(P)=(2L+2W)	$(P) = (2 L + 2 W)$
42280	Find All Complex Solutions	4sin(theta)-1=2sin(theta)	$4 \sin (θ) - 1 = 2 \sin (θ)$
42281	Write in Slope-Intercept Form	5x-12=9(2y-1)	$5 x - 12 = 9 (2 y - 1)$
42282	Solve for z	z(z+7)=30	$z (z + 7) = 30$
42283	Simplify	( square root of cube root of 2)^4	${(\sqrt{\sqrt[3]{2}})}^{4}$
42284	Factor	a-b+ab-1	$a - b + a b - 1$
42285	Solve the Inequality for x	(5x-6)^2<=0	${(5 x - 6)}^{2} \leq 0$
42286	Simplify the Radical Expression	square root of (45x^3y^4)/(16x^2)	$\sqrt{\frac{45 x^{3} y^{4}}{16 x^{2}}}$
42287	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,0) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 2, 0)$ and has a slope of $- 2$ ?
42288	Find the Third Term	a_n=1/4(2)^(n-1)	$a_{n} = \frac{1}{4} {(2)}^{n - 1}$
42289	Find the Domain	a(r)=r+1/(r-1)	$a (r) = r + \frac{1}{r - 1}$
42290	Graph	y=x-1/x	$y = x - \frac{1}{x}$
42291	Evaluate the Integral	integral of (1+3x^2-5x^3) with respect to x	$\int (1 + 3 x^{2} - 5 x^{3}) d x$
42292	Solve for z	2(3-2(z+4))=3(4-z)	$2 (3 - 2 (z + 4)) = 3 (4 - z)$
42293	Find the Degree	(5np)/(n^2)-(2g)/h	$\frac{5 n p}{n^{2}} - \frac{2 g}{h}$
42294	Solve for x	f(1)=2x-1	$f (1) = 2 x - 1$
42295	Graph	y<=2x-4 2y-x>=2	$y \leq 2 x - 4$ $2 y - x \geq 2$
42296	Evaluate the Integral	integral of (4+e^x)^-4e^x with respect to x	$\int {(4 + e^{x})}^{- 4} e^{x} d x$
42297	Solve for y	y=(-2+1)^2	$y = {(- 2 + 1)}^{2}$
42298	Evaluate	1/2(5/6)^2+2/9	$\frac{1}{2} {(\frac{5}{6})}^{2} + \frac{2}{9}$
42299	Evaluate	2+(-1/2)	$2 + (- \frac{1}{2})$
42300	Simplify	log of 12+1/2 log of 7- log of 2	$\log (12) + \frac{1}{2} \log (7) - \log (2)$