Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16901	Multiply	-4x^2y(x^2+7xy-6y^3)	$- 4 x^{2} y (x^{2} + 7 x y - 6 y^{3})$
16902	Simplify	((xy^4)/(-4z^8))^2	${(\frac{x y^{4}}{- 4 z^{8}})}^{2}$
16903	Evaluate	(1/4)^x=256	${(\frac{1}{4})}^{x} = 256$
16904	Solve for u	-4u+13u+5=6u+32	$- 4 u + 13 u + 5 = 6 u + 32$
16905	Solve for t	2t+5=2t+5	$2 t + 5 = 2 t + 5$
16906	Simplify	7x square root of 8- square root of 18+3 square root of 32-3x square root of 50	$7 x \sqrt{8} - \sqrt{18} + 3 \sqrt{32} - 3 x \sqrt{50}$
16907	Evaluate the Limit	limit as x approaches -1 of (x^2+11x+10)/(x^2+x)	$lim_{x \to - 1} \frac{x^{2} + 11 x + 10}{x^{2} + x}$
16908	Find the Domain	(2x^2-9x+2)/(x^2-4)	$\frac{2 x^{2} - 9 x + 2}{x^{2} - 4}$
16909	Evaluate	(-3^2-9)/(-3+3)	$\frac{- 3^{2} - 9}{- 3 + 3}$
16910	Evaluate	(cot(theta))/(csc(theta))	$\frac{\cot (θ)}{\csc (θ)}$
16911	Solve for x	(tan(x)+ square root of 3)(2sin(x)- square root of 2)=0	$(\tan (x) + \sqrt{3}) (2 \sin (x) - \sqrt{2}) = 0$
16912	Solve for y	square root of 36=3y	$\sqrt{36} = 3 y$
16913	Find the Derivative - d/dx	d/(dx)(3cos(x^2+5))	$\frac{d}{d x} (3 \cos (x^{2} + 5))$
16914	Solve for x	5x-8=11-7x+12x	$5 x - 8 = 11 - 7 x + 12 x$
16915	Find the Degree, Leading Term, and Leading Coefficient	y=x(x^2-5)	$y = x (x^{2} - 5)$
16916	Find the Exact Value	pi/2-pi/4	$\frac{π}{2} - \frac{π}{4}$
16917	Find the Derivative - d/dx	y=(3x^2-6x+1)^2	$y = {(3 x^{2} - 6 x + 1)}^{2}$
16918	Simplify	(3x-5)/(x^2+3x+2)+x/(x+2)	$\frac{3 x - 5}{x^{2} + 3 x + 2} + \frac{x}{x + 2}$
16919	Solve the Function Operation	f(x)=x^2-7x+5 g(x)=-x+2 Find: (fog)(x)	$f (x) = x^{2} - 7 x + 5$ $g (x) = - x + 2$ Find: $((f \circ g)) (x)$
16920	Find the Domain and Range	f(x)=1/2 square root of x+4-1	$f (x) = \frac{1}{2} \sqrt{x + 4} - 1$
16921	Write in Standard Form	7x=6-2y	$7 x = 6 - 2 y$
16922	Solve the Function Operation	Given g(x)=3x+3 ; find g(-6)	Given $g (x) = 3 x + 3$ ; find $g (- 6)$
16923	Simplify	(x^5y^3)^3(xy^5)^2	${(x^{5} y^{3})}^{3} {(x y^{5})}^{2}$
16924	Find the Inverse	f^-1(x) = cube root of 4-x	$f^{- 1} (x) = \sqrt[3]{4 - x}$
16925	Determine if a Polynomial	x^2+x/4	$x^{2} + \frac{x}{4}$
16926	Solve the Inequality for x	x^2-15x+36<=-2x	$x^{2} - 15 x + 36 \leq - 2 x$
16927	Solve for x	x-(9x-10)+11=12x+3(-2x+1/3)	$x - (9 x - 10) + 11 = 12 x + 3 (- 2 x + \frac{1}{3})$
16928	Simplify	(5i-3)^2	${(5 i - 3)}^{2}$
16929	Solve the Inequality for x	-1<2x<=8	$- 1 < 2 x \leq 8$
16930	Find the Secant Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
16931	Find dy/dx	3y^3+4x^3+5y^2+5y+2x=0	$3 y^{3} + 4 x^{3} + 5 y^{2} + 5 y + 2 x = 0$
16932	Simplify	(1/3i)/(2/3i)	$\frac{\frac{1}{3} i}{\frac{2}{3} i}$
16933	Solve the Inequality for x	\|(x+1)/(x-2)\|<1	$\| \frac{x + 1}{x - 2} \| < 1$
16934	Rationalize the Denominator	(4- square root of 3)/(4+ square root of 3)	$\frac{4 - \sqrt{3}}{4 + \sqrt{3}}$
16935	Solve for x	log base x of 7x=2	$\log_{x} (7 x) = 2$
16936	Simplify	square root of (5x^2y^2)/4+ square root of 5x^2y^2	$\sqrt{\frac{5 x^{2} y^{2}}{4}} + \sqrt{5 x^{2} y^{2}}$
16937	Solve for t	t/4+3=2t-b	$\frac{t}{4} + 3 = 2 t - b$
16938	Simplify	square root of 135+5 square root of 10d-3 square root of 60	$\sqrt{135} + 5 \sqrt{10 d} - 3 \sqrt{60}$
16939	Solve the Function Operation	f(x)=x^7+5 ; find f^-1(x)	$f (x) = x^{7} + 5$ ; find $f^{- 1} (x)$
16940	Solve for x	81x^2-180x+100=100	$81 x^{2} - 180 x + 100 = 100$
16941	Simplify	Simplify square root of 45	Simplify $\sqrt{45}$
16942	Evaluate	1/2(5/6)^2-1/9	$\frac{1}{2} {(\frac{5}{6})}^{2} - \frac{1}{9}$
16943	Find the Antiderivative	1/( square root of x)-2/( cube root of x)	$\frac{1}{\sqrt{x}} - \frac{2}{\sqrt[3]{x}}$
16944	Solve for x	4+3x+1-x=5+2x	$4 + 3 x + 1 - x = 5 + 2 x$
16945	Find the Exact Value	3^3+1	$3^{3} + 1$
16946	Simplify	(( square root of 2)/3-( square root of 2)/3i)^2	${(\frac{\sqrt{2}}{3} - \frac{\sqrt{2}}{3} i)}^{2}$
16947	Solve for y	1000=y^3	$1000 = y^{3}$
16948	Evaluate the Integral	integral of 2x^2(2x+1)(x-3) with respect to x	$\int 2 x^{2} (2 x + 1) (x - 3) d x$
16949	Evaluate the Function	h(x)=5x^3-3x^2+2x+4 , x=-1/3	$h (x) = 5 x^{3} - 3 x^{2} + 2 x + 4$ , $x = - \frac{1}{3}$
16950	Simplify	(5+m)-m	$(5 + m) - m$
16951	Solve for y	3(y-2)+5=19	$3 (y - 2) + 5 = 19$
16952	Evaluate	3+4-8*2+(4+2)	$3 + 4 - 8 \cdot 2 + (4 + 2)$
16953	Evaluate	10% of 80	$10 %$ of $80$
16954	Evaluate	(2x^3)/( cube root of x)	$\frac{2 x^{3}}{\sqrt[3]{x}}$
16955	Evaluate	(4x^4y^-4)^3	${(4 x^{4} y^{- 4})}^{3}$
16956	Determine if Continuous	f(x)=(x^2-x-2)/(x-2),x!=2; 3,x=2	$f (x) = {\begin{cases} \frac{x^{2} - x - 2}{x - 2}, x \neq 2 \\ 3, x = 2 \end{cases}$
16957	Find the Product	(2x^2-x-3)/(x+4)*(x^2-2x-24)/(x+1)	$\frac{2 x^{2} - x - 3}{x + 4} \cdot \frac{x^{2} - 2 x - 24}{x + 1}$
16958	Find the Points of Intersection	x+3y=3 2x+6y=6	$x + 3 y = 3$ $2 x + 6 y = 6$
16959	Divide	((2x)/3)÷((3x)/2)	$\frac{2 x}{3} \div \frac{3 x}{2}$
16960	Find dy/dx	(x^3+2y^2)^5=y	${(x^{3} + 2 y^{2})}^{5} = y$
16961	Graph	Graph y> = square root of x-2+1	Graph $y \geq \sqrt{x - 2} + 1$
16962	Multiply	(x^2-12x+27)*(x-9)	$(x^{2} - 12 x + 27) \cdot (x - 9)$
16963	Find the Derivative - d/dy	(x^2)/(2y)+(3y^2)/x	$\frac{x^{2}}{2 y} + \frac{3 y^{2}}{x}$
16964	Write in Standard Form	f(x)=-5x^2-6-4x	$f (x) = - 5 x^{2} - 6 - 4 x$
16965	Write the Fraction in Simplest Form	(12a^5)/(-4(a^5)^4)	$\frac{12 a^{5}}{- 4 {(a^{5})}^{4}}$
16966	Evaluate the Limit	limit as x approaches -2 of 1/(\|x\|)	$lim_{x \to - 2} \frac{1}{\| x \|}$
16967	Simplify	(2y)/(3 square root of 3y)	$\frac{2 y}{3 \sqrt{3 y}}$
16968	Solve for B	(tan(x)+sec(x))^2=(A+sin(x))/(B-sin(x))	${(\tan (x) + \sec (x))}^{2} = \frac{A + \sin (x)}{B - \sin (x)}$
16969	Find the Exact Value	cot((1pi)/6)	$\cot (\frac{1 π}{6})$
16970	Simplify	6 square root of 5- square root of 11-6 square root of 5- square root of 11	$6 \sqrt{5} - \sqrt{11} - 6 \sqrt{5} - \sqrt{11}$
16971	Solve the System of Equations	x^2+(y+1)^2=37 -x+y=-6	$x^{2} + {(y + 1)}^{2} = 37$ $- x + y = - 6$
16972	Solve for n	log base 9 of 15-4n=1/2	$\log_{9} (15 - 4 n) = \frac{1}{2}$
16973	Simplify	square root of x^3* cube root of x	$\sqrt{x^{3}} \cdot \sqrt[3]{x}$
16974	Simplify	(6- square root of 3)/( square root of 3+4)	$\frac{6 - \sqrt{3}}{\sqrt{3} + 4}$
16975	Evaluate the Integral	integral from negative infinity to infinity of x/( square root of x^2+9) with respect to x	$\int_{- \infty}^{\infty} \frac{x}{\sqrt{x^{2} + 9}} d x$
16976	Solve for x	(4x)/3-5y=11	$\frac{4 x}{3} - 5 y = 11$
16977	Find Where Increasing/Decreasing	(e^x)/(x^2)	$\frac{e^{x}}{x^{2}}$
16978	Simplify	((2^2)^-1)/(2^2)	$\frac{{(2^{2})}^{- 1}}{2^{2}}$
16979	Find the Derivative - d/dx	-1/2cos(2x)	$- \frac{1}{2} \cos (2 x)$
16980	Evaluate	-1/2(2)^0	$- \frac{1}{2} {(2)}^{0}$
16981	Solve for x	\|3-x\|-\|x+2\|=5	$\| 3 - x \| - \| x + 2 \| = 5$
16982	Find the Excluded Values	(p^2-3p-10)/(p^2+p-2)	$\frac{p^{2} - 3 p - 10}{p^{2} + p - 2}$
16983	Simplify	9x+4x(2+3)-4(2x+3x)	$9 x + 4 x (2 + 3) - 4 (2 x + 3 x)$
16984	Solve the Function Operation	f(x)=x if x!=-4; -6 if x=-4 Find f(-4)	$f (x) = {\begin{cases} x & x \neq - 4 \\ - 6 & x = - 4 \end{cases}$ Find $f (- 4)$
16985	Multiply	-12*(8-2i)	$- 12 \cdot (8 - 2 i)$
16986	Solve the Function Operation	Given that f(x)=x^2-5x-14 and g(x)=x-7 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 5 x - 14$ and $g (x) = x - 7$ ; find $(f + g) (x)$ and express the result in standard form.
16987	Find the Derivative - d/dx	x square root of 3-2x	$x \sqrt{3 - 2 x}$
16988	Simplify	(5+x square root of 6)^2	${(5 + x \sqrt{6})}^{2}$
16989	Solve for x	3(x+5)^(1/3)-6=0	$3 {(x + 5)}^{\frac{1}{3}} - 6 = 0$
16990	Solve for s	-2(13s-14)=4(-8s+10)	$- 2 (13 s - 14) = 4 (- 8 s + 10)$
16991	Write in Standard Form	-x^3+10x-4x^5+3x^2+7x^4+14	$- x^{3} + 10 x - 4 x^{5} + 3 x^{2} + 7 x^{4} + 14$
16992	Find the Degree	(2x-1)(4x^2+3)	$(2 x - 1) (4 x^{2} + 3)$
16993	Evaluate the Limit	limit as x approaches -4 of (3(x+1)^2-27)/(x+4)	$lim_{x \to - 4} \frac{3 {(x + 1)}^{2} - 27}{x + 4}$
16994	Solve the Function Operation	f(x)=-2x+5 g(x)=x^2+x+10 Find: (gof)(x)	$f (x) = - 2 x + 5$ $g (x) = x^{2} + x + 10$ Find: $((g \circ f)) (x)$
16995	Write in y=mx+b Form	(6,-6) and (8,8)	$(6, - 6)$ and $(8, 8)$
16996	Solve for x in Radians	sec(x)=(2 square root of 3)/3	$\sec (x) = \frac{2 \sqrt{3}}{3}$
16997	Subtract	(x-y)/(xy)-(x-z)/(xz)	$\frac{x - y}{x y} - \frac{x - z}{x z}$
16998	Solve for x	1/(x+5)+x/(x-9)=1/(x-9)	$\frac{1}{x + 5} + \frac{x}{x - 9} = \frac{1}{x - 9}$
16999	Find the LCD	-1/(x+4) and (5x)/(4x+16)	$\frac{- 1}{x + 4}$ and $\frac{5 x}{4 x + 16}$
17000	Simplify	((5x^2+10x)/(x^2+2x+1))÷((20x+40)/(x^2-1))	$\frac{5 x^{2} + 10 x}{x^{2} + 2 x + 1} \div \frac{20 x + 40}{x^{2} - 1}$