Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4001	Find the Degree	3x^3y^2z+6x^2y	$3 x^{3} y^{2} z + 6 x^{2} y$
4002	Factor	(x^2-x-6)(x^2+6x+9)	$(x^{2} - x - 6) (x^{2} + 6 x + 9)$
4003	Calculate the Square Root	square root of cube root of 64	$\sqrt{\sqrt[3]{64}}$
4004	Evaluate	\|((-1/2)^3)÷((1/4)^2)\|	$\| {(- \frac{1}{2})}^{3} \div {(\frac{1}{4})}^{2} \|$
4005	Solve for y	(y+4)/(3y-8)=1	$\frac{y + 4}{3 y - 8} = 1$
4006	Simplify	(8b^2-8a^2)/(a^2-2ab+b^2)	$\frac{8 b^{2} - 8 a^{2}}{a^{2} - 2 a b + b^{2}}$
4007	Simplify	(4+ square root of 27)/(2-3 square root of 27)	$\frac{4 + \sqrt{27}}{2 - 3 \sqrt{27}}$
4008	Simplify	(z^4-3z^3+2z^2-4z+4)(z-1)^-1	$(z^{4} - 3 z^{3} + 2 z^{2} - 4 z + 4) {(z - 1)}^{- 1}$
4009	Find the Derivative - d/dx	j (x)=((x^2+1)/(x+2))^3	$j$ $(x) = {(\frac{x^{2} + 1}{x + 2})}^{3}$
4010	Find the Center and Radius	x^2+y^2+50=0	$x^{2} + y^{2} + 50 = 0$
4011	Evaluate the Integral	integral of (e^(cos(x)))(sin(x)) with respect to x	$\int (e^{\cos (x)}) (\sin (x)) d x$
4012	Solve for x	square root of 3x^2+10x-5=0	$\sqrt{3 x^{2} + 10 x} - 5 = 0$
4013	Simplify	square root of 1+16+64	$\sqrt{1 + 16 + 64}$
4014	Simplify	12y*(2/3xy^4)	$12 y \cdot (\frac{2}{3} x y^{4})$
4015	Graph	f(x)=-x/5-2	$f (x) = - \frac{x}{5} - 2$
4016	Find the Percentage Rate of Change	r(t)=0.4(1.06)^t	$r (t) = 0.4 {(1.06)}^{t}$
4017	Find the Domain	(x-y)/x-(y-x)/y+(x^2+y^2)/(xy)	$\frac{x - y}{x} - \frac{y - x}{y} + \frac{x^{2} + y^{2}}{x y}$
4018	Simplify	-1/2k^3+3/4k^5	$- \frac{1}{2} k^{3} + \frac{3}{4} k^{5}$
4019	Solve for x	7/8x+1=2-1/4x	$\frac{7}{8} x + 1 = 2 - \frac{1}{4} x$
4020	Divide	( seventh root of 14x^6)/( seventh root of 2x^5)	$\frac{\sqrt[7]{14 x^{6}}}{\sqrt[7]{2 x^{5}}}$
4021	Simplify	(6 square root of 20)/( square root of 18)	$\frac{6 \sqrt{20}}{\sqrt{18}}$
4022	Find the Antiderivative	(e^x)^2	${(e^{x})}^{2}$
4023	Simplify	( square root of 20x^7y^10)/( square root of y^2)	$\frac{\sqrt{20 x^{7} y^{10}}}{\sqrt{y^{2}}}$
4024	Solve the Rational Equation for x	cube root of 3x=6	$\sqrt[3]{3 x} = 6$
4025	Solve for k	-9k-5=-10k	$- 9 k - 5 = - 10 k$
4026	Find the Roots (Zeros)	3x^5-7x^4-5x^3+18x^2-5	$3 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 5$
4027	Find the Product	-3a*(7a^2-4)	$- 3 a \cdot (7 a^{2} - 4)$
4028	Solve for x	square root of x = square root of x-8+2	$\sqrt{x} = \sqrt{x - 8} + 2$
4029	Simplify	((y^(2/3))/(y^(1/2)))^2	${(\frac{y^{\frac{2}{3}}}{y^{\frac{1}{2}}})}^{2}$
4030	Solve the Inequality for x	(2x)/(x-2)<5	$\frac{2 x}{x - 2} < 5$
4031	Solve for w	w+16/w=10	$w + \frac{16}{w} = 10$
4032	Evaluate the Function	y=3^x for x=2	$y = 3^{x}$ for $x = 2$
4033	Solve for x	(2x+3)^(4/3)-3=13	${(2 x + 3)}^{\frac{4}{3}} - 3 = 13$
4034	Graph	2x+3y<6 4x+6y>24	$2 x + 3 y < 6$ $4 x + 6 y > 24$
4035	Simplify	((x+3)/(x-3))/((x^2-9)/(3x-9))	$\frac{\frac{x + 3}{x - 3}}{\frac{x^{2} - 9}{3 x - 9}}$
4036	Simplify	((a^(1/12)b^-3)^3)^-2	${({(a^{\frac{1}{12}} b^{- 3})}^{3})}^{- 2}$
4037	Simplify	(x^3-8x^4-5)-(3x^4-6x-3)	$(x^{3} - 8 x^{4} - 5) - (3 x^{4} - 6 x - 3)$
4038	Simplify	(a^2-25)/(a+3)*1/(a^2+5a)-(a+5)/(a^2-3a)	$\frac{a^{2} - 25}{a + 3} \cdot \frac{1}{a^{2} + 5 a} - \frac{a + 5}{a^{2} - 3 a}$
4039	Divide	0 , 3841÷23	$0$ , $3841 \div 23$
4040	Find the Focus	x^2=8y-8	$x^{2} = 8 y - 8$
4041	Simplify	3/x+3/(2x)+1/2	$\frac{3}{x} + \frac{3}{2 x} + \frac{1}{2}$
4042	Evaluate the Summation	sum from n=1 to infinity of (3n^5)/(15n^4+5)	$\sum_{n = 1}^{\infty} \frac{3 n^{5}}{15 n^{4} + 5}$
4043	Solve for x	x^2(1/x)+x(1- natural log of x)-x- natural log of x = natural log of x	$x^{2} (\frac{1}{x}) + x (1 - \ln (x)) - x - \ln (x) = \ln (x)$
4044	Solve by Graphing	y=3/2x+3 y=1/4x-2	$y = \frac{3}{2} x + 3$ $y = \frac{1}{4} x - 2$
4045	Solve the Inequality for y	y-12<-5	$y - 12 < - 5$
4046	Solve for c	-0.1(90c+5)=2.5(-1.4-3c)	$- 0.1 (90 c + 5) = 2.5 (- 1.4 - 3 c)$
4047	Simplify	2x+2x+2x+2x	$2 x + 2 x + 2 x + 2 x$
4048	Simplify	((a^2)/(a+n)-(a^3)/(a^2+n^2+2an))÷(a/(a+n)-(a^2)/(a^2-n^2))	$(\frac{a^{2}}{a + n} - \frac{a^{3}}{a^{2} + n^{2} + 2 a n}) \div (\frac{a}{a + n} - \frac{a^{2}}{a^{2} - n^{2}})$
4049	Find the Antiderivative	sin(x)^2*cos(x)^2	$\sin^{2} (x) \cdot \cos^{2} (x)$
4050	Simplify	((5x^0)/y)^-1	${(\frac{5 x^{0}}{y})}^{- 1}$
4051	Simplify	square root of a/b+a/b square root of b/a	$\sqrt{\frac{a}{b}} + \frac{a}{b} \sqrt{\frac{b}{a}}$
4052	Find the Distance Between Two Points	(2,-3) and (10,-3)	$(2, - 3)$ and $(10, - 3)$
4053	Evaluate the Limit	limit as x approaches 0 of (sin(pi\|x\|))/(4x)	$lim_{x \to 0} \frac{\sin (π \| x \|)}{4 x}$
4054	Simplify	sin(x)^2+sin(x)^2*tan(x)^2	$\sin^{2} (x) + \sin^{2} (x) \cdot \tan^{2} (x)$
4055	Simplify	(3x^2+2x+1)+(2x^2-4x-5)+(3x-1)	$(3 x^{2} + 2 x + 1) + (2 x^{2} - 4 x - 5) + (3 x - 1)$
4056	Find the Degree, Leading Term, and Leading Coefficient	-5x^5+1/8-x^4	$- 5 x^{5} + \frac{1}{8} - x^{4}$
4057	Divide	square root of (a^2+b^2)/4	$\sqrt{\frac{a^{2} + b^{2}}{4}}$
4058	Simplify the Radical Expression	x square root of y+ square root of x^2y+2x square root of y	$x \sqrt{y} + \sqrt{x^{2} y} + 2 x \sqrt{y}$
4059	Solve for z	-z-6-7z=9(-z-2)+6	$- z - 6 - 7 z = 9 (- z - 2) + 6$
4060	Find the End Behavior	f(x)=8x^6-64x^5-640x^2-512+1024x+160x^4	$f (x) = 8 x^{6} - 64 x^{5} - 640 x^{2} - 512 + 1024 x + 160 x^{4}$
4061	Solve for y	-3/7y^2+2 1/3=0	$- \frac{3}{7} y^{2} + 2 \frac{1}{3} = 0$
4062	Simplify	24 root of 1/(n^7*n^2)	$\sqrt[24]{\frac{1}{n^{7} \cdot n^{2}}}$
4063	Solve for x	x-4=1/3(6x-54)	$x - 4 = \frac{1}{3} (6 x - 54)$
4064	Evaluate	( cube root of -1/8)^3+3 3/4	${(\sqrt[3]{- \frac{1}{8}})}^{3} + 3 \frac{3}{4}$
4065	Graph	-y>=x+4 -3x+3y<=-9	$- y \geq x + 4$ $- 3 x + 3 y \leq - 9$
4066	Find the x and y Intercepts	y = log of 7x+3-2	$y = \log (7 x + 3) - 2$
4067	Simplify the Radical Expression	(8a^-3)^(-2/3)	${(8 a^{- 3})}^{- \frac{2}{3}}$
4068	Solve for x	5/8(4x-12)+1/2x-3 1/2=3(x+3)	$\frac{5}{8} (4 x - 12) + \frac{1}{2} x - 3 \frac{1}{2} = 3 (x + 3)$
4069	Convert to Rectangular	2(cos((5pi)/3)+isin((5pi)/3))*4(cos(pi/6)+isin(pi/6))	$2 (\cos (\frac{5 π}{3}) + i \sin (\frac{5 π}{3})) \cdot 4 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
4070	Simplify	((2x^2yz^3)^2)/10	$\frac{{(2 x^{2} y z^{3})}^{2}}{10}$
4071	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x^2+4x^3	$f (x) = 4 x^{2} + 4 x^{3}$
4072	Simplify	(25/(14y^3))÷(5/(28y^2))	$\frac{25}{14 y^{3}} \div \frac{5}{28 y^{2}}$
4073	Simplify	(3y-12)/28*(14y+7)/(6y-24)	$\frac{3 y - 12}{28} \cdot \frac{14 y + 7}{6 y - 24}$
4074	Simplify	square root of (54x^6y^2)/(6y^4)	$\sqrt{\frac{54 x^{6} y^{2}}{6 y^{4}}}$
4075	Solve for n	(3+4n)/n=7b	$\frac{3 + 4 n}{n} = 7 b$
4076	Subtract	15-2/12	$15 - \frac{2}{12}$
4077	Solve for b	A=((B+b)h)/2	$A = \frac{(B + b) h}{2}$
4078	Solve for n	1.94+5(1.92n+1.84)=0.3(22n-6.2)-2	$1.94 + 5 (1.92 n + 1.84) = 0.3 (22 n - 6.2) - 2$
4079	Simplify	16*4^-2	$16 \cdot 4^{- 2}$
4080	Write in Exponential Form	( square root of xy)^3	${(\sqrt{x y})}^{3}$
4081	Solve for n	-12=-6(-8n+6)+8(-4+n)	$- 12 = - 6 (- 8 n + 6) + 8 (- 4 + n)$
4082	Solve for x	5/(x^2-3x+2)-1/(x-2)=(x+6)/(3x-3)	$\frac{5}{x^{2} - 3 x + 2} - \frac{1}{x - 2} = \frac{x + 6}{3 x - 3}$
4083	Evaluate the Limit	limit as x approaches -1 of -(9x^2-5x-4)(x^(1/3)-2)	$lim_{x \to - 1} - (9 x^{2} - 5 x - 4) (x^{\frac{1}{3}} - 2)$
4084	Find the Antiderivative	(x^3)/(x^2+1)	$\frac{x^{3}}{x^{2} + 1}$
4085	Simplify	square root of (pi- square root of 17)^2	$\sqrt{{(π - \sqrt{17})}^{2}}$
4086	Solve the Inequality for x	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
4087	Solve for a	(1+ square root of 3i)^2=a+ib	${(1 + \sqrt{3} i)}^{2} = a + i b$
4088	Solve by Graphing	y=-x y=2/5x-7	$y = - x$ $y = \frac{2}{5} x - 7$
4089	Factor	-60+60n^2+50n^3	$- 60 + 60 n^{2} + 50 n^{3}$
4090	Solve for c	y=ca^x	$y = c a^{x}$
4091	Simplify	3/4ab-5/12ab	$\frac{3}{4} a b - \frac{5}{12} a b$
4092	Solve for x	4 square root of x+1=x+1	$4 \sqrt{x + 1} = x + 1$
4093	Solve the System of Inequalities	x<=-3 or x>4	$x \leq - 3$ or $x > 4$
4094	Simplify the Radical Expression	cube root of -64/(x^6)	$\sqrt[3]{\frac{- 64}{x^{6}}}$
4095	Simplify	(90x+2x^2-4x^3)/(3x^2-5x-50)	$\frac{90 x + 2 x^{2} - 4 x^{3}}{3 x^{2} - 5 x - 50}$
4096	Find dy/dx	y=(5x-1)^(1/3)	$y = {(5 x - 1)}^{\frac{1}{3}}$
4097	Solve by Addition/Elimination	-2x-y=12 y=-26-9x	$- 2 x - y = 12$ $y = - 26 - 9 x$
4098	Solve by Isolating the Absolute Value for a	(a+b/c)(d-e)=f	$(a + \frac{b}{c}) (d - e) = f$
4099	Find the Asymptotes	f(x)=tan(3x)-2	$f (x) = \tan (3 x) - 2$
4100	Simplify	(8x^6)/(9x^2)*(3x^3)/(12x)	$\frac{8 x^{6}}{9 x^{2}} \cdot \frac{3 x^{3}}{12 x}$