Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41001	Describe the Transformation	f(x)=- log base 2 of x+1	$f (x) = - \log_{2} (x + 1)$
41002	Evaluate	cos(175)cos(55)+sin(175)sin(55)	$\cos (175) \cdot \cos (55) + \sin (175) \cdot \sin (55)$
41003	Simplify	(x^3z^-1)((3x^-2u)/(z^-2))^2	$(x^{3} z^{- 1}) {(\frac{3 x^{- 2} u}{z^{- 2}})}^{2}$
41004	Simplify	(x^-2y^0)/(x^3y^-2)	$\frac{x^{- 2} y^{0}}{x^{3} y^{- 2}}$
41005	Solve the Absolute Value Inequality for m	\|7m\|+3=73	$\| 7 m \| + 3 = 73$
41006	Find the Inverse	x^2+x	$x^{2} + x$
41007	Simplify	(1-tan(x/2)^2)/(1+tan(x/2)^2)	$\frac{1 - \tan^{2} (\frac{x}{2})}{1 + \tan^{2} (\frac{x}{2})}$
41008	Solve for y	5y-2+y-6=-9y+10+6y+13	$5 y - 2 + y - 6 = - 9 y + 10 + 6 y + 13$
41009	Solve for C in Degrees	-5cos(C)-1=2cos(C)+3	$- 5 \cos (C) - 1 = 2 \cos (C) + 3$
41010	Evaluate	(1+3*5)/(18-4^2)-\|-11\|	$\frac{1 + 3 \cdot 5}{18 - 4^{2}} - \| - 11 \|$
41011	Find the x and y Intercepts	f(x)=2/(x^2)-1	$f (x) = \frac{2}{x^{2}} - 1$
41012	Write in Standard Form	4x^2+x-2=0	$4 x^{2} + x - 2 = 0$
41013	Solve for x	4x^4-4x^2-x^2+1=0	$4 x^{4} - 4 x^{2} - x^{2} + 1 = 0$
41014	Solve the Inequality for x	-10x-4>=-4(x-2)	$- 10 x - 4 \geq - 4 (x - 2)$
41015	Evaluate	g(x)=[-4.03]	$g (x) = [- 4.03]$
41016	Find the Holes in the Graph	f(x)=(x^2+3x)/(x^2-x)	$f (x) = \frac{x^{2} + 3 x}{x^{2} - x}$
41017	Subtract	9/(5x)-2/(5x^2)	$\frac{9}{5 x} - \frac{2}{5 x^{2}}$
41018	Multiply	(a^2+b)(a+b^2)	$(a^{2} + b) (a + b^{2})$
41019	Find the Sine of the Angle	(5pi)/3	$\frac{5 π}{3}$
41020	Find the Tangent Line at (5,2/5)	f(x)=2/x at (5,2/5)	$f (x) = \frac{2}{x}$ at $(5, \frac{2}{5})$
41021	Solve for b	4=(12b+8)/(b+24)	$4 = \frac{12 b + 8}{b + 24}$
41022	Solve for x	3/(2-x)=2/(8+x)	$\frac{3}{2 - x} = \frac{2}{8 + x}$
41023	Solve for x	y = square root of (x+1)/(x-4)	$y = \sqrt{\frac{x + 1}{x - 4}}$
41024	Factor	x^8-17x^4+16	$x^{8} - 17 x^{4} + 16$
41025	Solve for t	t-5<=-7	$t - 5 \leq - 7$
41026	Graph	2y=(x-3)^2	$2 y = {(x - 3)}^{2}$
41027	Solve for a	a^2+b^2=10^2	$a^{2} + b^{2} = 10^{2}$
41028	Convert to Logarithmic Form	y=4^(1-x)	$y = 4^{1 - x}$
41029	Simplify	(22/54)/(110/(22s))	$\frac{\frac{22}{54}}{\frac{110}{22 s}}$
41030	Simplify	4x^2+3y^2-4y+5y^2+5x^2	$4 x^{2} + 3 y^{2} - 4 y + 5 y^{2} + 5 x^{2}$
41031	Graph	y<=1/3x-2 y<=-x+2	$y \leq \frac{1}{3} x - 2$ $y \leq - x + 2$
41032	Find the Tangent of the Angle	(5pi)/3	$\frac{5 π}{3}$
41033	Graph	y>=3x 2x+y<3-y	$y \geq 3 x$ $2 x + y < 3 - y$
41034	Solve for x	0=-sin(x)-cos(x)	$0 = - \sin (x) - \cos (x)$
41035	Multiply	(2- square root of 3)^2	${(2 - \sqrt{3})}^{2}$
41036	Simplify the Radical Expression	square root of cube root of (x^5y^-8)^2	$\sqrt{\sqrt[3]{{(x^{5} y^{- 8})}^{2}}}$
41037	Simplify	(1/2-x^2)^3	${(\frac{1}{2} - x^{2})}^{3}$
41038	Find the Second Derivative	x-1/x	$x - \frac{1}{x}$
41039	Evaluate	\|x\|=0	$\| x \| = 0$
41040	Find the Maximum/Minimum Value	y=1-3sin(2/3x)	$y = 1 - 3 \sin (\frac{2}{3} x)$
41041	Evaluate Using Scientific Notation	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \times 10^{- 5})}{(7.8 \times 10^{- 8})}$
41042	Find the Degree	ay*(a^3+4y^4)	$a y \cdot (a^{3} + 4 y^{4})$
41043	Convert to Interval Notation	{x\|-4>x>-8}	${x \| - 4 > x > - 8}$
41044	Evaluate	(2-3/2)/(1/2)	$\frac{2 - \frac{3}{2}}{\frac{1}{2}}$
41045	Evaluate the Integral	integral of (x^3+x)/(x+1) with respect to x	$\int \frac{x^{3} + x}{x + 1} d x$
41046	Evaluate the Integral	integral of (-3x^4-6) with respect to x	$\int (- 3 x^{4} - 6) d x$
41047	Simplify	4x(2y)+3y(2-x)	$4 x (2 y) + 3 y (2 - x)$
41048	Simplify the Radical Expression	square root of 9- square root of -128+ square root of 36- square root of -32	$\sqrt{9} - \sqrt{- 128} + \sqrt{36} - \sqrt{- 32}$
41049	Divide	( cube root of 320)÷( cube root of 5)	$\sqrt[3]{320} \div \sqrt[3]{5}$
41050	Graph	-4x^2+y^2-16=0	$- 4 x^{2} + y^{2} - 16 = 0$
41051	Simplify	3 1/3+(-2 1/4)+1 5/6	$3 \frac{1}{3} + (- 2 \frac{1}{4}) + 1 \frac{5}{6}$
41052	Find the Exact Value	square root of 2sin((3pi)/8)cos((3pi)/8)	$\sqrt{2} \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
41053	Factor	f(x)=x^4+x^3-51x^2-9x+378	$f (x) = x^{4} + x^{3} - 51 x^{2} - 9 x + 378$
41054	Graph Using a Table of Values	y=mx+b	$y = m x + b$
41055	Evaluate	y = square root of 2-y	$y = \sqrt{2 - y}$
41056	Factor by Grouping	3mx-nx-3my+ny	$3 m x - n x - 3 m y + n y$
41057	Find dx/dy	x+2xy-y^2=2	$x + 2 x y - y^{2} = 2$
41058	Evaluate the Function	h(t)=50-t/5	$h (t) = 50 - \frac{t}{5}$
41059	Multiply	(x+3)/(x^2+7x+12)*(x^2+x-12)/(3x-18)	$\frac{x + 3}{x^{2} + 7 x + 12} \cdot \frac{x^{2} + x - 12}{3 x - 18}$
41060	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+4x^3-26x^2+21x+5 is divided by x+5	Use synthetic division to find the result when $2 x^{4} + 4 x^{3} - 26 x^{2} + 21 x + 5$ is divided by $x + 5$
41061	Multiply	(x-2)/(4x^3)*(x^2-1)/(x^2-x-2)	$\frac{x - 2}{4 x^{3}} \cdot \frac{x^{2} - 1}{x^{2} - x - 2}$
41062	Simplify	square root of (2x-y)^8	$\sqrt{{(2 x - y)}^{8}}$
41063	Solve for a	(2a-3)/(a-1)=(2a+3)/(a+1)+10/(a^2-1)	$\frac{2 a - 3}{a - 1} = \frac{2 a + 3}{a + 1} + \frac{10}{a^{2} - 1}$
41064	Evaluate	-2*(3+8÷4)^2	$- 2 \times {(3 + 8 \div 4)}^{2}$
41065	Evaluate	1/2(pi/2)	$\frac{1}{2} (\frac{π}{2})$
41066	Verify the Identity	2cot(x)csc(x)=1/(sec(x)-1)+1/(sec(x)+1)	$2 \cot (x) \csc (x) = \frac{1}{\sec (x) - 1} + \frac{1}{\sec (x) + 1}$
41067	Factor	(4x+4)(x+1)	$(4 x + 4) (x + 1)$
41068	Simplify	-5/3(-7/4a-1/4)-8a	$- \frac{5}{3} (- \frac{7}{4} a - \frac{1}{4}) - 8 a$
41069	Find the Slope	(5,-2) and (5,8)	$(5, - 2)$ and $(5, 8)$
41070	Graph	y>=-2/3x+1 x<=3	$y \geq - \frac{2}{3} x + 1$ $x \leq 3$
41071	Find the Derivative - d/dx	(sin(x^2))/(3x)	$\frac{\sin (x^{2})}{3 x}$
41072	Evaluate	(3x+2y-7)-(5x-4y+6)	$(3 x + 2 y - 7) - (5 x - 4 y + 6)$
41073	Write with Rational (Fractional) Exponents	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
41074	Evaluate	35% of 120	$35 %$ of $120$
41075	Divide Using Long Polynomial Division	(3v^3+v^2+2v)/(9v^3)	$\frac{3 v^{3} + v^{2} + 2 v}{9 v^{3}}$
41076	Solve for t	t^3-1=0	$t^{3} - 1 = 0$
41077	Solve for x in Degrees	cos(x)+ square root of 3=-cos(x)	$\cos (x) + \sqrt{3} = - \cos (x)$
41078	Solve the Inequality for x	(5+6x)/2>3	$\frac{5 + 6 x}{2} > 3$
41079	Add	(y^2-4y+9)-(3y^2-6y-9)	$(y^{2} - 4 y + 9) - (3 y^{2} - 6 y - 9)$
41080	Find the Derivative - d/dx	y = fifth root of 5x+2	$y = \sqrt[5]{5 x + 2}$
41081	Solve for x	1/2x^2=6	$\frac{1}{2} x^{2} = 6$
41082	Solve the Inequality for b	4(8-2b)-2b<=32	$4 (8 - 2 b) - 2 b \leq 32$
41083	Evaluate	1/(a+3)-4/(a-3)=(2a)/(a^2-9)	$\frac{1}{a + 3} - \frac{4}{a - 3} = \frac{2 a}{a^{2} - 9}$
41084	Multiply	-3p(4-2p)	$- 3 p (4 - 2 p)$
41085	Simplify	(11xy^6)/(2x^8y^2)	$\frac{11 x y^{6}}{2 x^{8} y^{2}}$
41086	Simplify	(-3m^3n)^2(2m^2n^4)	${(- 3 m^{3} n)}^{2} (2 m^{2} n^{4})$
41087	Simplify	36^x*6^(x-2)	$36^{x} \cdot 6^{x - 2}$
41088	Solve for x	5(c-bx)=10	$5 (c - b x) = 10$
41089	Simplify	(4x^2+3x+9)+(2x^2-5x-9)	$(4 x^{2} + 3 x + 9) + (2 x^{2} - 5 x - 9)$
41090	Solve the Inequality for x	((x+5)^2)/(x^2-4)>=0	$\frac{{(x + 5)}^{2}}{x^{2} - 4} \geq 0$
41091	Solve for x	x = square root of x-4+4	$x = \sqrt{x - 4 + 4}$
41092	Evaluate	20% of 800	$20 %$ of $800$
41093	Factor by Grouping	(a+b)(a-b)+a(a+b)	$(a + b) (a - b) + a (a + b)$
41094	Evaluate	tan(arctan(5pi))	$\tan (\arctan (5 π))$
41095	Multiply	(k-p)(k-n)	$(k - p) (k - n)$
41096	Simplify	square root of 8x^5y^6z^13	$\sqrt{8 x^{5}} y^{6} z^{13}$
41097	Graph Using a Table of Values	f(x)=3 square root of x-4	$f (x) = 3 \sqrt{x - 4}$
41098	Write in Exponential Form	fifth root of square root of a	$\sqrt[5]{\sqrt{a}}$
41099	Solve for c	-1=-5/8c+9	$- 1 = - \frac{5}{8} c + 9$
41100	Find the Exact Value	cot(theta)^2+1	$\cot^{2} (θ) + 1$