Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35801	Evaluate	2x^(2/3)=8	$2 x^{\frac{2}{3}} = 8$
35802	Evaluate the Limit	limit as x approaches pi/4 of tan((4x)/3)	$lim_{x \to \frac{π}{4}} \tan (\frac{4 x}{3})$
35803	Simplify	limit as x approaches 5 of (x^2-2x-15)/(x^2-10x+25)	$lim_{x \to 5} \frac{x^{2} - 2 x - 15}{x^{2} - 10 x + 25}$
35804	Simplify	(2+3/x)/(1-4/(x^2))	$\frac{2 + \frac{3}{x}}{1 - \frac{4}{x^{2}}}$
35805	Find the 7th Term	16/9 , 8/3 , 4 , 6 , 9	$\frac{16}{9}$ , $\frac{8}{3}$ , $4$ , $6$ , $9$
35806	Solve for x	x^2+px+q=(x-13)(x+1)	$x^{2} + p x + q = (x - 13) (x + 1)$
35807	Evaluate the Limit	limit as x approaches 0 of ((3x-1)^5+1)/(5x)	$lim_{x \to 0} \frac{{(3 x - 1)}^{5} + 1}{5 x}$
35808	Simplify	(2x)(x^5)/(x^2)	$(2 x) \frac{x^{5}}{x^{2}}$
35809	Graph	y=-1/2cos(pi/3x)	$y = - \frac{1}{2} \cos (\frac{π}{3} x)$
35810	Simplify the Radical Expression	( square root of 27)/( square root of 48)	$\frac{\sqrt{27}}{\sqrt{48}}$
35811	Evaluate	(22y^6z^8)/(2yz^-7)	$\frac{22 y^{6} z^{8}}{2 y z^{- 7}}$
35812	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+13x^2+11x+1 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 13 x^{2} + 11 x + 1$ is divided by $x + 1$
35813	Solve the Inequality for x	20>2/3\|6+x\|+6	$20 > \frac{2}{3} \| 6 + x \| + 6$
35814	Simplify	3 fourth root of 256+- cube root of 64+ square root of 169	$3 \sqrt[4]{256} + - \sqrt[3]{64} + \sqrt{169}$
35815	Find the Slope	(-3,7) and (6,-1)	$(- 3, 7)$ and $(6, - 1)$
35816	Find the Derivative - d/dx	(d((x^2cos(x))/(sin(x))))/(dx)	$\frac{d (\frac{x^{2} \cos (x)}{\sin (x)})}{d x}$
35817	Simplify	square root of -6x* square root of 21x^3	$\sqrt{- 6 x} \cdot \sqrt{21 x^{3}}$
35818	Graph	f(x)=(8x^2)/(x^4+16)	$f (x) = \frac{8 x^{2}}{x^{4} + 16}$
35819	Graph	y=tan(1/2)(x-pi/4)	$y = \tan (\frac{1}{2}) (x - \frac{π}{4})$
35820	Find All Complex Solutions	-5(-2-8m)=10+5m	$- 5 (- 2 - 8 m) = 10 + 5 m$
35821	Find Amplitude, Period, and Phase Shift	y=5sin(2/3x-2/9pi)	$y = 5 \sin (\frac{2}{3} x - \frac{2}{9} π)$
35822	Graph	8x+4y>=10 3x-6y>12	$8 x + 4 y \geq 10$ $3 x - 6 y > 12$
35823	Solve the Rational Equation for x	cube root of 2x-5=3	$\sqrt[3]{2 x - 5} = 3$
35824	Solve the Inequality for x	99-5x>=4x	$99 - 5 x \geq 4 x$
35825	Simplify the Radical Expression	(112/7)^(-1/4)	${(\frac{112}{7})}^{- \frac{1}{4}}$
35826	Graph	y>1/4x+5 y<=1/4x+2	$y > \frac{1}{4} x + 5$ $y \leq \frac{1}{4} x + 2$
35827	Evaluate	tan(x)+ square root of 3=0	$\tan (x) + \sqrt{3} = 0$
35828	Multiply	2x(3x^3+5y)	$2 x (3 x^{3} + 5 y)$
35829	Find the Holes in the Graph	y=(x-2)/(x^2-4)	$y = \frac{x - 2}{x^{2} - 4}$
35830	Integrate Using u-Substitution	integral of sec(2x)tan(2x) with respect to x	$\int \sec (2 x) \tan (2 x) d x$
35831	Find the x and y Intercepts	f(x)=-(x-3)^2(x^2+16)(x^2-6)	$f (x) = - {(x - 3)}^{2} (x^{2} + 16) (x^{2} - 6)$
35832	Identify the Sequence	125 , 25 , 5 ; dots	$125$ , $25$ , $5$ ; dots
35833	Evaluate	(81^7-27^9-9^13)/45	$\frac{81^{7} - 27^{9} - 9^{13}}{45}$
35834	Solve the System of Equations	2y-4x=-4 y=-2+2x	$2 y - 4 x = - 4$ $y = - 2 + 2 x$
35835	Find the LCD	9/(x-11) and 5/(x+11)	$\frac{9}{x - 11}$ and $\frac{5}{x + 11}$
35836	Simplify	( square root of 2)/2( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
35837	Solve for θ in Radians	2sin(theta)+4=4	$2 \sin (θ) + 4 = 4$
35838	Simplify	-1/9(5G-3)+2/9G	$- \frac{1}{9} (5 G - 3) + \frac{2}{9} G$
35839	Graph	3x-15<0	$3 x - 15 < 0$
35840	Graph	x+y>4 x-y<6	$x + y > 4$ $x - y < 6$
35841	Solve the Function Operation	f(x)=6x+2 ; find f(x-3)	$f (x) = 6 x + 2$ ; find $f (x - 3)$
35842	Solve the System of Equations	y=x -2x-5y=35	$y = x$ $- 2 x - 5 y = 35$
35843	Evaluate the Integral	Evaluate integral of (-4x^-3-20x^-5) with respect to x	Evaluate $\int (- 4 x^{- 3} - 20 x^{- 5}) d x$
35844	Simplify	( cube root of m^6)( cube root of 32m^3)	$(\sqrt[3]{m^{6}}) (\sqrt[3]{32 m^{3}})$
35845	Expand Using Sum/Difference Formulas	cos(x-pi/4)	$\cos (x - \frac{π}{4})$
35846	Solve for x	7^(x-5)=49x	$7^{x - 5} = 49 x$
35847	Simplify	( square root of 8-2 square root of 2)( square root of 2+2 square root of 8)	$(\sqrt{8} - 2 \sqrt{2}) (\sqrt{2} + 2 \sqrt{8})$
35848	Find the GCF	15x^4 and 35x^2	$15 x^{4}$ and $35 x^{2}$
35849	Evaluate	((2^2x^2)/(xy^2))^2	${(\frac{2^{2} x^{2}}{x y^{2}})}^{2}$
35850	Evaluate	( square root of 2)/2*(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \cdot (- \frac{\sqrt{2}}{2})$
35851	Simplify	((x^2-4)/(16-x^2))((16-4x)/(4x+8))	$(\frac{x^{2} - 4}{16 - x^{2}}) (\frac{16 - 4 x}{4 x + 8})$
35852	Simplify	(x+x/y)/(y-y/x)	$\frac{x + \frac{x}{y}}{y - \frac{y}{x}}$
35853	Solve the System of Equations	x^2+y^2=100 y=-1/7x+50/7	$x^{2} + y^{2} = 100$ $y = - \frac{1}{7} x + \frac{50}{7}$
35854	Solve for j	-4(8j-12)=4(-6-17j)	$- 4 (8 j - 12) = 4 (- 6 - 17 j)$
35855	Evaluate	x/12=34	$\frac{x}{12} = 34$
35856	Find the Domain and Range	y=1/2sin(3x)	$y = \frac{1}{2} \sin (3 x)$
35857	Simplify	(a^(1/2)*b^(1/3))^(1/2)	${(a^{\frac{1}{2}} \cdot b^{\frac{1}{3}})}^{\frac{1}{2}}$
35858	Solve for p	S=(r-p)/3	$S = \frac{r - p}{3}$
35859	Find the Asymptotes	(x^2-4)/(x^2)	$\frac{x^{2} - 4}{x^{2}}$
35860	Solve for x in Radians	square root of 3cot(x)+1=0	$\sqrt{3} \cot (x) + 1 = 0$
35861	Find the LCM	9x^2-16 and 3x^2+x-4	$9 x^{2} - 16$ and $3 x^{2} + x - 4$
35862	Determine if a Parabola	y=-3(x-5)^2-7	$y = - 3 {(x - 5)}^{2} - 7$
35863	Rationalize the Denominator	( square root of 2)/( square root of 40)	$\frac{\sqrt{2}}{\sqrt{40}}$
35864	Multiply	(-4x-32)/(x^2-12x+36)*(x^2-9x+18)/(3x+24)	$\frac{- 4 x - 32}{x^{2} - 12 x + 36} \cdot \frac{x^{2} - 9 x + 18}{3 x + 24}$
35865	Solve for n	(n-6)/(3n)=1/2	$\frac{n - 6}{3 n} = \frac{1}{2}$
35866	Solve for x	5x-3(x+9)+10=4	$5 x - 3 (x + 9) + 10 = 4$
35867	Evaluate the Function	f(x)=x^2-4x+32 ; at (3,0) , t^3	$f (x) = x^{2} - 4 x + 32$ ; at $(3, 0)$ , $t^{3}$
35868	Find the Derivative - d/dx	(x-2)^3(x+1)^4	${(x - 2)}^{3} {(x + 1)}^{4}$
35869	Solve for x	(x-3)^2-2=x+1	${(x - 3)}^{2} - 2 = x + 1$
35870	Find the Antiderivative	f(x)=e^(2x-1)	$f (x) = e^{2 x - 1}$
35871	Find the Roots (Zeros)	sin(x)=0	$\sin (x) = 0$
35872	Simplify	4(x-4)+2(3x^2+3x-20)	$4 (x - 4) + 2 (3 x^{2} + 3 x - 20)$
35873	Evaluate	3(1-t)^2-5(1-t)+1	$3 {(1 - t)}^{2} - 5 (1 - t) + 1$
35874	Find the Derivative - d/dx	sin(-3x^2-3x+7)	$\sin (- 3 x^{2} - 3 x + 7)$
35875	Find the x and y Intercepts	y = log base 1/2 of x	$y = \log_{\frac{1}{2}} (x)$
35876	Solve the Inequality for n	7-n>=3	$7 - n \geq 3$
35877	Find the Maximum/Minimum Value	y=x^3-x	$y = x^{3} - x$
35878	Solve the System of Equations	-1/2y=1/2x+5 and y=2x+2	$- \frac{1}{2} y = \frac{1}{2} x + 5$ and $y = 2 x + 2$
35879	Factor	x^4-64=0	$x^{4} - 64 = 0$
35880	Solve for M₁	F=(GM_1M_2)/(r^2)	$F = \frac{G M_{1} M_{2}}{r^{2}}$
35881	Simplify	(1/x-3/(x+1))/(2/(x+1)-3/x)	$\frac{\frac{1}{x} - \frac{3}{x + 1}}{\frac{2}{x + 1} - \frac{3}{x}}$
35882	Solve for x	x/(x-2)=(x+4)/9	$\frac{x}{x - 2} = \frac{x + 4}{9}$
35883	Simplify	((3m^2n^3)/(xy^2))^2((x^3yz^2)/(2mn^2))	${(\frac{3 m^{2} n^{3}}{x y^{2}})}^{2} (\frac{x^{3} y z^{2}}{2 m n^{2}})$
35884	Graph	y<=-(x+1)^2+4	$y \leq - {(x + 1)}^{2} + 4$
35885	Graph	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
35886	Solve for r	1/(r-5)=7/(2r)	$\frac{1}{r - 5} = \frac{7}{2 r}$
35887	Solve for x	3(x-5)^(3/2)-6=18	$3 {(x - 5)}^{\frac{3}{2}} - 6 = 18$
35888	Find the Slope	(0,-8) and (9,4)	$(0, - 8)$ and $(9, 4)$
35889	Solve for x in Degrees	8tan(x)sin(x)=sin(x)	$8 \tan (x) \sin (x) = \sin (x)$
35890	Simplify	(-9)^(-1/2)	${(- 9)}^{- \frac{1}{2}}$
35891	Simplify	x-8+x-5+x+1	$x - 8 + x - 5 + x + 1$
35892	Graph	x>=3 x<=16 y<=x y>=2	$x \geq 3$ $x \leq 16$ $y \leq x$ $y \geq 2$
35893	Solve for y	y=-1/2(0)	$y = - \frac{1}{2} (0)$
35894	Solve the Inequality for x	2-3x<5(2-x)<=3(2-x)+10	$2 - 3 x < 5 (2 - x) \leq 3 (2 - x) + 10$
35895	Simplify	2x+x/y	$2 x + \frac{x}{y}$
35896	Solve the System of Inequalities	1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a	$1.25 a + 3 > 0.5 a - 6$ and $2.5 a - 1 \geq 9 - 1.5 a$
35897	Write in Standard Form	-1+y=1/5x	$- 1 + y = \frac{1}{5} x$
35898	Solve for y	2y^2+3y=7	$2 y^{2} + 3 y = 7$
35899	Solve the Inequality for x	-8(x-3)-4x<108	$- 8 (x - 3) - 4 x < 108$
35900	Find the Derivative of the Integral	g(x) = integral from 1 to x of natural log of 1+t^2 with respect to t	$g (x) = \int_{1}^{x} \ln (1 + t^{2}) d t$