Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17501	Find the Inverse	f(x)=1/5(x-6)^2	$f (x) = \frac{1}{5} {(x - 6)}^{2}$
17502	Evaluate Using Summation Formulas	sum from 0 to 10 of x^2-2x+9	$\sum_{0}^{10} x^{2} - 2 x + 9$
17503	Find dy/dx	y=(2x)/(x+1)	$y = \frac{2 x}{x + 1}$
17504	Find Amplitude, Period, and Phase Shift	y=3sin(3pix-(2pi)/3)	$y = 3 \sin (3 π x - \frac{2 π}{3})$
17505	Solve the Function Operation	Given that f(x)=x^2-3x-28 and g(x)=x-7 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 28$ and $g (x) = x - 7$ ; find $(f - g) (x)$ and express the result in standard form.
17506	Simplify the Radical Expression	2 square root of 3( square root of 6- square root of 3)	$2 \sqrt{3} (\sqrt{6} - \sqrt{3})$
17507	Simplify	((2x^-1yz^4)^3)/(6x^7yz^-10)	$\frac{{(2 x^{- 1} y z^{4})}^{3}}{6 x^{7} y z^{- 10}}$
17508	Find the Second Term	a_n=2(3)^n	$a_{n} = 2 {(3)}^{n}$
17509	Simplify	((4^0)^-3)/(4^-3)	$\frac{{(4^{0})}^{- 3}}{4^{- 3}}$
17510	Simplify	((2p^2)^-3q^4)/((6q)^-1p^-7)	$\frac{{(2 p^{2})}^{- 3} q^{4}}{{(6 q)}^{- 1} p^{- 7}}$
17511	Subtract	(3x^3+3x^2+5)-(x^3-2x^2+x-4)	$(3 x^{3} + 3 x^{2} + 5) - (x^{3} - 2 x^{2} + x - 4)$
17512	Simplify	3y(2y^2-1)(y+4)	$3 y (2 y^{2} - 1) (y + 4)$
17513	Factor	f(x)=-(x-7)^2+1	$f (x) = - {(x - 7)}^{2} + 1$
17514	Simplify	((x+y)^-1)/(2z^-6)	$\frac{{(x + y)}^{- 1}}{2 z^{- 6}}$
17515	Simplify	( fourth root of (x+y)^3)/( cube root of (x+y)^2)	$\frac{\sqrt[4]{{(x + y)}^{3}}}{\sqrt[3]{{(x + y)}^{2}}}$
17516	Find the LCM	7 and 4	$7$ and $4$
17517	Complete the Square	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
17518	Solve Using the Quadratic Formula	4x^2+nx=-9	$4 x^{2} + n x = - 9$
17519	Solve the Inequality for b	20b>=-120	$20 b \geq - 120$
17520	Solve the Inequality for n	12n<=54	$12 n \leq 54$
17521	Solve for x	4x^2+nx=-9	$4 x^{2} + n x = - 9$
17522	Find the Roots (Zeros)	y=(x-2)^2(x-1)	$y = {(x - 2)}^{2} (x - 1)$
17523	Write in Standard Form	y=(2x+1)^2-9	$y = {(2 x + 1)}^{2} - 9$
17524	Solve the Inequality for k	-6<=-2k+4<=2	$- 6 \leq - 2 k + 4 \leq 2$
17525	Simplify the Radical Expression	(81/16)^(-3/4)	${(\frac{81}{16})}^{- \frac{3}{4}}$
17526	Solve by Graphing	y=2x-3 x+y=-6	$y = 2 x - 3$ $x + y = - 6$
17527	Solve for x	-4/3x+1/6<7/9	$- \frac{4}{3} x + \frac{1}{6} < \frac{7}{9}$
17528	Evaluate the Limit	limit as x approaches 1 of 2/(x^2-1)-1/(x-1)	$lim_{x \to 1} \frac{2}{x^{2} - 1} - \frac{1}{x - 1}$
17529	Simplify	(3-2x+5x^2)(4-x+2x^2)	$(3 - 2 x + 5 x^{2}) (4 - x + 2 x^{2})$
17530	Solve for u	T=(3u)/E	$T = \frac{3 u}{E}$
17531	Simplify	(7s-2t)-(3s-4st+7t)	$(7 s - 2 t) - (3 s - 4 s t + 7 t)$
17532	Solve for t	t(t+4)-1=t(t+2)+2	$t (t + 4) - 1 = t (t + 2) + 2$
17533	Combine Like Terms	-4(3d-2)-7	$- 4 (3 d - 2) - 7$
17534	Solve for x	x^4=16/81	$x^{4} = \frac{16}{81}$
17535	Simplify	Simplify square root of 50	Simplify $\sqrt{50}$
17536	Simplify	-2pq^7+-pq^7	$- 2 p q^{7} + - p q^{7}$
17537	Evaluate	(k^(1/8))^-1	${(k^{\frac{1}{8}})}^{- 1}$
17538	Divide	(12 square root of x)/(4x^3)	$\frac{12 \sqrt{x}}{4 x^{3}}$
17539	Solve the Inequality for x	-1/2\|4x-5\|+3<0	$- \frac{1}{2} \| 4 x - 5 \| + 3 < 0$
17540	Find the Exact Value	4/5+5/4-1 1/20	$\frac{4}{5} + \frac{5}{4} - 1 \frac{1}{20}$
17541	Solve the Rational Equation for a	cube root of 3a+9 = cube root of 6a+15	$\sqrt[3]{3 a + 9} = \sqrt[3]{6 a + 15}$
17542	Evaluate	(-2/3)/(( square root of 5)/3)	$\frac{- \frac{2}{3}}{\frac{\sqrt{5}}{3}}$
17543	Find the Domain	square root of x^2-7x+10	$\sqrt{x^{2}} - 7 x + 10$
17544	Simplify	square root of 27a^2b+a square root of 12b	$\sqrt{27 a^{2} b} + a \sqrt{12 b}$
17545	Simplify	(4+i^3)+(5+i^5)	$(4 + i^{3}) + (5 + i^{5})$
17546	Simplify	(a^2-b^2)^3	${(a^{2} - b^{2})}^{3}$
17547	Divide Using Long Polynomial Division	9x^3-12x^2-11x-19 divided by 3x-5	$9 x^{3} - 12 x^{2} - 11 x - 19$ divided by $3 x - 5$
17548	Evaluate the Function	f(2)=(t(t-3))/(t-2)+(4-t)/(t-2)	$f (2) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
17549	Simplify	(375/343)^(1/3)	${(\frac{375}{343})}^{\frac{1}{3}}$
17550	Find dy/dx	y=4x^3-7x^2+3x-2	$y = 4 x^{3} - 7 x^{2} + 3 x - 2$
17551	Factor	y=9x^3-3x^2+81x-27	$y = 9 x^{3} - 3 x^{2} + 81 x - 27$
17552	Divide	((4x^5)/(x^2-3x-4))÷((12x^2)/(3x+3))	$\frac{4 x^{5}}{x^{2} - 3 x - 4} \div \frac{12 x^{2}}{3 x + 3}$
17553	Simplify	(2/7)÷((x-4)/-8)	$\frac{2}{7} \div \frac{x - 4}{- 8}$
17554	Subtract	-3x-8-4x^2-7x-2	$- 3 x - 8 - 4 x^{2} - 7 x - 2$
17555	Simplify	((4x^-6y^7z^8)/(8x^2y^5z^11))^-1	${(\frac{4 x^{- 6} y^{7} z^{8}}{8 x^{2} y^{5} z^{11}})}^{- 1}$
17556	Find the Domain and Range	y=2/3 square root of x+4-1	$y = \frac{2}{3} \sqrt{x + 4} - 1$
17557	Solve the Inequality for x	6x^2-x-6<=4x-2	$6 x^{2} - x - 6 \leq 4 x - 2$
17558	Add	(7x+1)/(x^2-36)+(3x)/(x+6)	$\frac{7 x + 1}{x^{2} - 36} + \frac{3 x}{x + 6}$
17559	Simplify	((4^2)^3)/((7^3)^2)	$\frac{{(4^{2})}^{3}}{{(7^{3})}^{2}}$
17560	Find the Product	( square root of 3- square root of 2)( square root of 3+ square root of 2)	$(\sqrt{3} - \sqrt{2}) (\sqrt{3} + \sqrt{2})$
17561	Find the Exact Value	( square root of 1,620)/( square root of 180)	$\frac{\sqrt{1, 620}}{\sqrt{180}}$
17562	Divide	(1/3)/(1/2)	$\frac{\frac{1}{3}}{\frac{1}{2}}$
17563	Solve for x	2-5(2x-3)=4(3-4x)	$2 - 5 (2 x - 3) = 4 (3 - 4 x)$
17564	Find the Roots (Zeros)	5w^3=50w	$5 w^{3} = 50 w$
17565	Solve for y	3/(y-2)+7/(y+2)=10/y	$\frac{3}{y - 2} + \frac{7}{y + 2} = \frac{10}{y}$
17566	Solve the System of Equations	2x+6y+z=-6 6x-5y-z=-2 4x+4y+z=-8	$2 x + 6 y + z = - 6$ $6 x - 5 y - z = - 2$ $4 x + 4 y + z = - 8$
17567	Simplify	8 square root of xy- square root of xy-5 square root of xy	$8 \sqrt{x y} - \sqrt{x y} - 5 \sqrt{x y}$
17568	Solve the Inequality for m	m-8<=2	$m - 8 \leq 2$
17569	Evaluate	2(4i^2)+22	$2 (4 i^{2}) + 22$
17570	Find the Derivative - d/dx	square root of 3cos(x)^3	$\sqrt{3 \cos^{3} (x)}$
17571	Divide Using Synthetic Division	(2x^4+5x^3+x^2+2x+8)/(x+2)	$\frac{2 x^{4} + 5 x^{3} + x^{2} + 2 x + 8}{x + 2}$
17572	Evaluate	(y^5)/(x^-2x^-3y^-8)	$\frac{y^{5}}{x^{- 2} x^{- 3} y^{- 8}}$
17573	Find the End Behavior	g(x)=8x^3+4x^2+7x^4-9x	$g (x) = 8 x^{3} + 4 x^{2} + 7 x^{4} - 9 x$
17574	Solve the System of Equations	y=1 y=-2x-9	$y = 1$ $y = - 2 x - 9$
17575	Solve for x in Degrees	3sin(x)^2-sin(x)=1	$3 \sin^{2} (x) - \sin (x) = 1$
17576	Find the Roots (Zeros)	x^4+x^3-8x^2-9x-9=0	$x^{4} + x^{3} - 8 x^{2} - 9 x - 9 = 0$
17577	Simplify the Radical Expression	(x^(2/3)y^(-1/6))^-12	${(x^{\frac{2}{3}} y^{- \frac{1}{6}})}^{- 12}$
17578	Write the Fraction in Simplest Form	(-4u^8)/(3(u^-1)^4)	$\frac{- 4 u^{8}}{3 {(u^{- 1})}^{4}}$
17579	Simplify	(-1/3)^-3*(3)^-3	${(- \frac{1}{3})}^{- 3} \cdot {(3)}^{- 3}$
17580	Graph	x^3-3x^2+2x	$x^{3} - 3 x^{2} + 2 x$
17581	Simplify	2.5/(2a^2)*(4a^3)/(5b^2)	$\frac{2.5}{2 a^{2}} \cdot \frac{4 a^{3}}{5 b^{2}}$
17582	Find the Antiderivative	tan(x)sec(x)	$\tan (x) \sec (x)$
17583	Simplify	13(2p^3q)(-pq^5)	$13 (2 p^{3} q) (- p q^{5})$
17584	Simplify	( cube root of 5)/( cube root of x^4)	$\frac{\sqrt[3]{5}}{\sqrt[3]{x^{4}}}$
17585	Simplify	(2de^5)^2(de)^4	${(2 d e^{5})}^{2} {(d e)}^{4}$
17586	Simplify	(4/3)/( square root of 9-(4/3)^2)	$\frac{\frac{4}{3}}{\sqrt{9 - {(\frac{4}{3})}^{2}}}$
17587	Combine Like Terms	7k+3+k+7	$7 k + 3 + k + 7$
17588	Simplify	(x^2-25)/(x^2-16)*(x^2-4x)/(2x+10)	$\frac{x^{2} - 25}{x^{2} - 16} \cdot \frac{x^{2} - 4 x}{2 x + 10}$
17589	Find the End Behavior	f(x)=2x^6-5x^5+6x^4-x^3+4x^2-x+1	$f (x) = 2 x^{6} - 5 x^{5} + 6 x^{4} - x^{3} + 4 x^{2} - x + 1$
17590	Solve for a	square root of a-3 = square root of a	$\sqrt{a} - 3 = \sqrt{a}$
17591	Find the Exact Value	(81^(1/4))^4	${(81^{\frac{1}{4}})}^{4}$
17592	Solve for d	d^3=61	$d^{3} = 61$
17593	Graph	x-2y<-2 2x+y<3	$x - 2 y < - 2$ $2 x + y < 3$
17594	Rationalize the Denominator	6/(-8- square root of 11)	$\frac{6}{- 8 - \sqrt{11}}$
17595	Evaluate	-sin(-pi/2)	$- \sin (- \frac{π}{2})$
17596	Solve by Factoring	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
17597	Simplify	10-18÷3+1	$10 - 18 \div 3 + 1$
17598	Simplify	(0.4y^3+5a^2)(5a^2-0.4y^3)	$(0.4 y^{3} + 5 a^{2}) (5 a^{2} - 0.4 y^{3})$
17599	Find the Product	(x-6)(3x-4y)	$(x - 6) (3 x - 4 y)$
17600	Solve for x	5/(x+2)+(x+2)/(2-x)=(x^2)/(4-x^2)	$\frac{5}{x + 2} + \frac{x + 2}{2 - x} = \frac{x^{2}}{4 - x^{2}}$