Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23001	Simplify	(2x^-4)/(3xy)	$\frac{2 x^{- 4}}{3 x y}$
23002	Solve for b	b=( cube root of -25)^3	$b = {(\sqrt[3]{- 25})}^{3}$
23003	Simplify	-2-2(2+2(2-2))	$- 2 - 2 (2 + 2 (2 - 2))$
23004	Find dy/dx	-2y+5x^2-5y^2=-4	$- 2 y + 5 x^{2} - 5 y^{2} = - 4$
23005	Evaluate the Function	f(a)=a^4+3a^3-17a^2+2a-7 at a=3	$f (a) = a^{4} + 3 a^{3} - 17 a^{2} + 2 a - 7$ at $a = 3$
23006	Graph	x^2(x-1)	$x^{2} (x - 1)$
23007	Write in Standard Form	(x^2+x-3)(x^2-x+3)	$(x^{2} + x - 3) (x^{2} - x + 3)$
23008	Solve for x	6/x-9/7=(2x+9)/(7x)	$\frac{6}{x} - \frac{9}{7} = \frac{2 x + 9}{7 x}$
23009	Multiply	-1/5(-2 1/4)	$- \frac{1}{5} (- 2 \frac{1}{4})$
23010	Solve by Factoring	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
23011	Simplify	(-6k^2+7+4k^3)+(-9k^3+3k^4+1)	$(- 6 k^{2} + 7 + 4 k^{3}) + (- 9 k^{3} + 3 k^{4} + 1)$
23012	Solve for x	(x^2-x+4)^(3/2)-2=6	${(x^{2} - x + 4)}^{\frac{3}{2}} - 2 = 6$
23013	Solve the System of Inequalities	5-2x>31 and 7x+8>=-55	$5 - 2 x > 31$ and $7 x + 8 \geq - 55$
23014	Find the Antiderivative	x*(x^2+7)^15	$x \cdot {(x^{2} + 7)}^{15}$
23015	Find the Domain	tan(theta)-sin(theta)-cos(2theta)	$\tan (θ) - \sin (θ) - \cos (2 θ)$
23016	Evaluate	x-6 = square root of x	$x - 6 = \sqrt{x}$
23017	Solve for y	x = square root of y-2	$x = \sqrt{y - 2}$
23018	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,3) and has a slope of 6 ?	What is the equation of the line that passes through the point $(1, 3)$ and has a slope of $6$ ?
23019	Simplify	3 square root of 2(2 square root of 30+4 square root of 120)	$3 \sqrt{2} (2 \sqrt{30} + 4 \sqrt{120})$
23020	Graph	\|y\|=x^2	$\| y \| = x^{2}$
23021	Simplify	((x-2)/(x+5)+(x-5)/(x+2))/((x-2)/(x+5)-(x-5)/(x+2))	$\frac{\frac{x - 2}{x + 5} + \frac{x - 5}{x + 2}}{\frac{x - 2}{x + 5} - \frac{x - 5}{x + 2}}$
23022	Solve for b	2bh=v for b	$2 b h = v$ for $b$
23023	Evaluate	(-7(2+8))/5+9(-2)	$\frac{- 7 (2 + 8)}{5} + 9 (- 2)$
23024	Write in Exponential Form	( square root of x^12)/( square root of x^5)	$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$
23025	Factor	(x+8)^(1/3)-(x+8)^(4/3)	${(x + 8)}^{\frac{1}{3}} - {(x + 8)}^{\frac{4}{3}}$
23026	Expand Using Sum/Difference Formulas	cos(pi/3+B)	$\cos (\frac{π}{3} + B)$
23027	Solve for x	4/(x+2)=7/x	$\frac{4}{x + 2} = \frac{7}{x}$
23028	Solve for x	0=x^3-3x^2+4x-12	$0 = x^{3} - 3 x^{2} + 4 x - 12$
23029	Simplify	(g^4-4g^2+11)+(-g^3+8g)	$(g^{4} - 4 g^{2} + 11) + (- g^{3} + 8 g)$
23030	Solve for x	cube root of 4x+8=0	$\sqrt[3]{4 x} + 8 = 0$
23031	Solve for x	5/2*x=1	$\frac{5}{2} \cdot x = 1$
23032	Solve the Inequality for x	(\|2x-3\|)/5>3	$\frac{\| 2 x - 3 \|}{5} > 3$
23033	Evaluate the Function	g(2+h)=x^3	$g (2 + h) = x^{3}$
23034	Find the Skew	1 , 2 , 4 , 7 , 9 , 10	$1$ , $2$ , $4$ , $7$ , $9$ , $10$
23035	Simplify	-9(7a-1)-2a-5a^2+2	$- 9 (7 a - 1) - 2 a - 5 a^{2} + 2$
23036	Subtract	(x^2+17x)-(3x^2+5x)	$(x^{2} + 17 x) - (3 x^{2} + 5 x)$
23037	Evaluate	(-3x^-5)^3	${(- 3 x^{- 5})}^{3}$
23038	Evaluate the Limit	limit as x approaches infinity of -arctan(x)	$lim_{x \to \infty} - \arctan (x)$
23039	Expand Using Pascal's Triangle	(2p^3-3t)^4	${(2 p^{3} - 3 t)}^{4}$
23040	Solve by Factoring	5x^3=1080	$5 x^{3} = 1080$
23041	Simplify	square root of 4st^3 sixth root of s^3t^2	$\sqrt{4 s t^{3}} \sqrt[6]{s^{3} t^{2}}$
23042	Evaluate the Summation	sum from i=1 to 3 of 1/(x_i^2)	$\sum_{i = 1}^{3} \frac{1}{{x_{i}}^{2}}$
23043	Solve for C	3C+4(-4/7)=5	$3 C + 4 (- \frac{4}{7}) = 5$
23044	Write in Slope-Intercept Form	x-y>=0	$x - y \geq 0$
23045	Simplify	(x^(-a))/(x^(-b)x^c)	$\frac{x^{- a}}{x^{- b} x^{c}}$
23046	Solve for x	7^(1/2)*7^(1/x)=10 root of 7^7	$7^{\frac{1}{2}} \cdot 7^{\frac{1}{x}} = \sqrt[10]{7^{7}}$
23047	Simplify the Radical Expression	2 square root of 3*2	$2 \sqrt{3} \cdot 2$
23048	Solve the Inequality for x	-4x^2+28x<40	$- 4 x^{2} + 28 x < 40$
23049	Write in Standard Form	1/2x-3x^4+7	$\frac{1}{2} x - 3 x^{4} + 7$
23050	Simplify	((3x)^(1/3)*(3x)^(7/3))/((3x)^(2/3))	$\frac{{(3 x)}^{\frac{1}{3}} \cdot {(3 x)}^{\frac{7}{3}}}{{(3 x)}^{\frac{2}{3}}}$
23051	Evaluate	0.45m-9=0.9m	$0.45 m - 9 = 0.9 m$
23052	Simplify	(7y^2+2y-3)+(2-4y+5y)	$(7 y^{2} + 2 y - 3) + (2 - 4 y + 5 y)$
23053	Simplify	(4 square root of 48)/( square root of 9)	$\frac{4 \sqrt{48}}{\sqrt{9}}$
23054	Solve the Inequality for x	x^2>=5x+24	$x^{2} \geq 5 x + 24$
23055	Solve for x	10-16x=-6x^2	$10 - 16 x = - 6 x^{2}$
23056	Solve Using the Quadratic Formula	5u(u+2)+5=0	$5 u (u + 2) + 5 = 0$
23057	Solve for x in Radians	sin(2x+1.5)=-0.3	$\sin (2 x + 1.5) = - 0.3$
23058	Find the Possible Factors	factors of 33	factors of $33$
23059	Divide	8÷( square root of 8)	$8 \div \sqrt{8}$
23060	Evaluate	square root of 4-3x=x	$\sqrt{4 - 3 x} = x$
23061	Solve for t in Radians	2sin(t)^2-cos(t)-1=0	$2 \sin^{2} (t) - \cos (t) - 1 = 0$
23062	Find the Degree	4xy^2+3x-5	$4 x y^{2} + 3 x - 5$
23063	Divide	((x^2-x-12)/(4x+12))÷((x^2-6x+8)/6)	$\frac{x^{2} - x - 12}{4 x + 12} \div \frac{x^{2} - 6 x + 8}{6}$
23064	Write in Standard Form	(2+4i^5)+(1-9i^6)-(3+i^7)	$(2 + 4 i^{5}) + (1 - 9 i^{6}) - (3 + i^{7})$
23065	Solve for y	9-4y^2=57	$9 - 4 y^{2} = 57$
23066	Write the Fraction in Simplest Form	(4t^9s)/((2t^4s^-3)^-3)	$\frac{4 t^{9} s}{{(2 t^{4} s^{- 3})}^{- 3}}$
23067	Find the Length of a	tri{12}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
23068	Graph	-2\|x+1\|+11<5	$- 2 \| x + 1 \| + 11 < 5$
23069	Solve for b	256^(b+2)=4^(2-2b)	$256^{b + 2} = 4^{2 - 2 b}$
23070	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-2x(x-1)(3-x)^2	$h (x) = - 2 x (x - 1) {(3 - x)}^{2}$
23071	Solve for x	square root of 2x+5-4=3	$\sqrt{2 x + 5 - 4} = 3$
23072	Solve for k	1/3(9k+12)=15	$\frac{1}{3} (9 k + 12) = 15$
23073	Solve for p	3/(2p+5)=1/(9p)	$\frac{3}{2 p + 5} = \frac{1}{9 p}$
23074	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-2x^3-7x^2-12x-9 is divided by x+1	Use synthetic division to find the result when $2 x^{4} - 2 x^{3} - 7 x^{2} - 12 x - 9$ is divided by $x + 1$
23075	Solve for x	h(x)=(-4x-5)(-x+5)	$h (x) = (- 4 x - 5) (- x + 5)$
23076	Simplify the Radical Expression	( square root of 11- square root of 10)/( square root of 11+ square root of 10)	$\frac{\sqrt{11} - \sqrt{10}}{\sqrt{11} + \sqrt{10}}$
23077	Solve the Inequality for g	25g>=-100	$25 g \geq - 100$
23078	Simplify	(6i)/(9-9i)	$\frac{6 i}{9 - 9 i}$
23079	Find the Asymptotes	(3x^2-3x)/(x^2+x-12)	$\frac{3 x^{2} - 3 x}{x^{2} + x - 12}$
23080	Find dy/dx	y^3+y-2y^2+5x^2=0	$y^{3} + y - 2 y^{2} + 5 x^{2} = 0$
23081	Simplify	square root of 2ab+ fourth root of 4a^2b^2	$\sqrt{2 a b} + \sqrt[4]{4 a^{2} b^{2}}$
23082	Convert from Radians to Degrees	-135 degrees	$- 135 °$
23083	Evaluate	sin(0)+cos(0)	$\sin (0) + \cos (0)$
23084	Solve the Function Operation	Given that f(x)=x^2+2x-24 and g(x)=x-4 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 2 x - 24$ and $g (x) = x - 4$ ; find $(f + g) (x)$ and express the result in standard form.
23085	Find the Possible Factors	factors of 26	factors of $26$
23086	Divide	(45p^5q^4-60p^3q^2-15p^2q^3)/(15p^2q^3)	$\frac{45 p^{5} q^{4} - 60 p^{3} q^{2} - 15 p^{2} q^{3}}{15 p^{2} q^{3}}$
23087	Solve the Inequality for x	(\|x+6\|)/8<=1	$\frac{\| x + 6 \|}{8} \leq 1$
23088	Graph	y=x-2 5x-5y=10	$y = x - 2$ $5 x - 5 y = 10$
23089	Solve for x	850=(54.5)(4.22)+1/2(x)(4.22)^2	$850 = (54.5) (4.22) + \frac{1}{2} (x) {(4.22)}^{2}$
23090	Simplify	(-2x^2y^6*4x^3y^6)^2	${(- 2 x^{2} y^{6} \cdot 4 x^{3} y^{6})}^{2}$
23091	Find the Exact Value	1+tan(x)^2	$1 + \tan^{2} (x)$
23092	Add	2(4x-5)+(6x-4)	$2 (4 x - 5) + (6 x - 4)$
23093	Evaluate	arcsin(sin(pi/12))	$\arcsin (\sin (\frac{π}{12}))$
23094	Simplify	(c+6b)/(ac+2bc-6ab-3a^2)+(2b)/(a^2+2ab)-b/(ac-3a^2)	$\frac{(c + 6 b)}{a c + 2 b c - 6 a b - 3 a^{2}} + \frac{2 b}{a^{2} + 2 a b} - \frac{b}{a c - 3 a^{2}}$
23095	Solve for z	(12z+1)(7z-5)=0	$(12 z + 1) (7 z - 5) = 0$
23096	Simplify	1/4xy(4xy)^3	$\frac{1}{4} x y {(4 x y)}^{3}$
23097	Solve for y	(x+y)/2=6	$\frac{x + y}{2} = 6$
23098	Evaluate	cube root of 1000/-1331	$\sqrt[3]{\frac{1000}{- 1331}}$
23099	Simplify the Radical Expression	12 square root of 25/64	$12 \sqrt{\frac{25}{64}}$
23100	Find the Domain and Range	- cube root of 2x	$- \sqrt[3]{2 x}$