Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35701	Simplify	(2/9*(-x-1)/(x-10))÷((x^2-1)/(x^2-11x+10))	$\frac{2}{9} \cdot \frac{- x - 1}{x - 10} \div \frac{x^{2} - 1}{x^{2} - 11 x + 10}$
35702	Simplify	(x(x-2)(x-1))/((x-4)(x-1))	$\frac{x (x - 2) (x - 1)}{(x - 4) (x - 1)}$
35703	Factor	9xy+12yz-3y	$9 x y + 12 y z - 3 y$
35704	Simplify	3(-2)^3+5	$3 {(- 2)}^{3} + 5$
35705	Solve for x	cos(x)^3-2cos(x)^2-cos(x)+2=0	$\cos^{3} (x) - 2 \cos^{2} (x) - \cos (x) + 2 = 0$
35706	Solve for x	cube root of 27=x	$\sqrt[3]{27} = x$
35707	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,0) and has a slope of 3/5 ?	What is the equation of the line that passes through the point $(- 5, 0)$ and has a slope of $\frac{3}{5}$ ?
35708	Evaluate	-125%+28/20	$- 125 % + \frac{28}{20}$
35709	Solve for x	2^(2x)+4^(x+1)=80	$2^{2 x} + 4^{x + 1} = 80$
35710	Simplify the Radical Expression	(27/8)^(4/3)	${(\frac{27}{8})}^{\frac{4}{3}}$
35711	Solve for a	16-5a+2a-1=41-a	$16 - 5 a + 2 a - 1 = 41 - a$
35712	Find the First Term	a_n=1/(n^2)	$a_{n} = \frac{1}{n^{2}}$
35713	Simplify	(-3d^2-8+2d)+(4d-12+d^2)	$(- 3 d^{2} - 8 + 2 d) + (4 d - 12 + d^{2})$
35714	Find the Slope	Find the slope of the line passing through the points (-7,8) and (5,-7)	Find the slope of the line passing through the points $(- 7, 8)$ and $(5, - 7)$
35715	Find dy/dx	y=(x+1)/x	$y = \frac{x + 1}{x}$
35716	Find the Domain of the Composition f(g(x))	f(x)=x^2+6x-2 g(x)=x-6	$f (x) = x^{2} + 6 x - 2$ $g (x) = x - 6$
35717	Write in y=mx+b Form	5-3(x+1)=2y-3x+2	$5 - 3 (x + 1) = 2 y - 3 x + 2$
35718	Solve for x	(x(x+5))/(4x+4)=9/5	$\frac{x (x + 5)}{4 x + 4} = \frac{9}{5}$
35719	Solve the Function Operation	g(n)=2n+3 h(n)=n-1 Find (goh)(n)	$g (n) = 2 n + 3$ $h (n) = n - 1$ Find $((g \circ h)) (n)$
35720	Simplify the Radical Expression	((x^8)/(x^6))^(5/4)	${(\frac{x^{8}}{x^{6}})}^{\frac{5}{4}}$
35721	Find the Equation Using Point-Slope Formula	through: (-2,5) , slope=-4	through: $(- 2, 5)$ , $s l o p e = - 4$
35722	Simplify	square root of 5a^7 square root of 15a^3	$\sqrt{5 a^{7}} \sqrt{15 a^{3}}$
35723	Solve the System of Equations	-x+4y=16 and 3x-y=7	$- x + 4 y = 16$ and $3 x - y = 7$
35724	Solve for n	48 is 75% of what number?	$48$ is $75 %$ of what number?
35725	Multiply	(i)(3i)	$(i) (3 i)$
35726	Factor	121a^2b^3-169b^2b^3	$121 a^{2} b^{3} - 169 b^{2} b^{3}$
35727	Solve for x	square root of 15-x- square root of 6x=-3	$\sqrt{15 - x} - \sqrt{6 x} = - 3$
35728	Find dy/dx	y=e^(8x+9)	$y = e^{8 x + 9}$
35729	Evaluate	(- square root of 6+ square root of 2)/4	$\frac{- \sqrt{6} + \sqrt{2}}{4}$
35730	Graph	y=x y=2x	$y = x$ $y = 2 x$
35731	Solve for x	(x+5)/(x^2-2x)-1=1/(x^2-2x)	$\frac{x + 5}{x^{2} - 2 x} - 1 = \frac{1}{x^{2} - 2 x}$
35732	Simplify	(2x)/(x square root of 3)	$\frac{2 x}{x \sqrt{3}}$
35733	Write in Standard Form	-2+2/7x=-y	$- 2 + \frac{2}{7} x = - y$
35734	Graph	F(X)=-3+2	$F (X) = - 3 + 2$
35735	Simplify	(3m-2n^2)(2m^2+3n)	$(3 m - 2 n^{2}) (2 m^{2} + 3 n)$
35736	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,4) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 4, 4)$ and has a slope of $- 2$ ?
35737	Solve for b	y=2x^2+bx+c	$y = 2 x^{2} + b x + c$
35738	Simplify	x/(x+3)-(4(x+3))/(x-1)	$\frac{x}{(x + 3)} - \frac{4 (x + 3)}{(x - 1)}$
35739	Simplify	x^4y^5*x^-6	$x^{4} y^{5} \cdot x^{- 6}$
35740	Find the Excluded Values	(x^2-25)/(3-x)*(x-3)/(x+5)	$\frac{x^{2} - 25}{3 - x} \cdot \frac{x - 3}{x + 5}$
35741	Solve for w	-1/4w-3=w+1/3	$- \frac{1}{4} w - 3 = w + \frac{1}{3}$
35742	Graph	-2<=x/4-6<6	$- 2 \leq \frac{x}{4} - 6 < 6$
35743	Solve for n	n+n+n+n=16	$n + n + n + n = 16$
35744	Simplify	square root of 6c^9* square root of 2mc	$\sqrt{6 c^{9}} \cdot \sqrt{2 m c}$
35745	Graph	Graph the line with the equation y=-x-6	Graph the line with the equation $y = - x - 6$
35746	Solve for vբ	m_1v_1+m_2v_2=m_1v_f+m_2v_f	$m_{1} v_{1} + m_{2} v_{2} = m_{1} v_{f} + m_{2} v_{f}$
35747	Graph	f(x)=-3/4 cube root of x+1	$f (x) = - \frac{3}{4} \sqrt[3]{x + 1}$
35748	Evaluate Using the Given Value	7m+3mn when m=8 and n=14	$7 m + 3 m n$ when $m = 8$ and $n = 14$
35749	Evaluate the Integral	integral from 0 to pi/4 of cos(2x)e^(sin(2x)) with respect to x	$\int_{0}^{\frac{π}{4}} \cos (2 x) e^{\sin (2 x)} d x$
35750	Simplify	(y3/4)(y1/4)	$(y \frac{3}{4}) (y \frac{1}{4})$
35751	Multiply	4(2x+1)(3x-1)	$4 (2 x + 1) (3 x - 1)$
35752	Solve the Function Operation	If f(x)=x-1 and g(x)=5x-2 ; then (f/g)(x)	If $f (x) = x - 1$ and $g (x) = 5 x - 2$ ; then $(\frac{f}{g}) (x)$
35753	Solve for t	tan(3t+pi/2)^2=1/3	$\tan^{2} (3 t + \frac{π}{2}) = \frac{1}{3}$
35754	Find the Derivative - d/dx	(2x)/( square root of 5-3x^2)	$\frac{2 x}{\sqrt{5 - 3 x^{2}}}$
35755	Determine if Continuous	f(x)=(x^2+6x+9)/(x+3) if x!=-3; 9 if x=-3	$f (x) = {\begin{cases} \frac{x^{2} + 6 x + 9}{x + 3} & x \neq - 3 \\ 9 & x = - 3 \end{cases}$
35756	Find the LCD	8/(4x+5) and 1/x	$\frac{8}{4 x + 5}$ and $\frac{1}{x}$
35757	Find the LCD	6/(x-9) and 2/(x+9)	$\frac{6}{x - 9}$ and $\frac{2}{x + 9}$
35758	Solve for y	6/(3y-18)-3=2/(y-6)	$\frac{6}{3 y - 18} - 3 = \frac{2}{y - 6}$
35759	Solve for x	log base 9 of square root of 10x+5-1/2 = log base 9 of square root of x+1	$\log_{9} (\sqrt{10 x + 5}) - \frac{1}{2} = \log_{9} (\sqrt{x + 1})$
35760	Simplify the Radical Expression	- square root of 64- square root of -50+ square root of 36- square root of -32	$- \sqrt{64} - \sqrt{- 50} + \sqrt{36} - \sqrt{- 32}$
35761	Evaluate	(-3p^3+5p^2-2p)+(-p^3-8p^2-15p)	$(- 3 p^{3} + 5 p^{2} - 2 p) + (- p^{3} - 8 p^{2} - 15 p)$
35762	Find the Slope	(3,-1) and (7,-5)	$(3, - 1)$ and $(7, - 5)$
35763	Solve the Inequality for x	2+ square root of 5x-1>5	$2 + \sqrt{5 x - 1} > 5$
35764	Simplify	( square root of 5)/( square root of 2)*( square root of 2)/( square root of 2)	$\frac{\sqrt{5}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
35765	Simplify	(72x^3y^2)÷12x^3y	$72 x^{3} y^{2} \div 12 x^{3} y$
35766	Add	(3x-1)/(5x^2y)+(7x+1)/(5x^2y)	$\frac{3 x - 1}{5 x^{2} y} + \frac{7 x + 1}{5 x^{2} y}$
35767	Integrate Using u-Substitution	integral of 1/( square root of 9-x^2) with respect to x	$\int \frac{1}{\sqrt{9 - x^{2}}} d x$
35768	Find the Domain	f(x) = square root of x+2+ square root of 5-x	$f (x) = \sqrt{x + 2} + \sqrt{5 - x}$
35769	Solve the Inequality for x	(4-x)/(x+3)>0	$\frac{4 - x}{x + 3} > 0$
35770	Evaluate	(x/2)((x+2)/3)	$(\frac{x}{2}) (\frac{x + 2}{3})$
35771	Solve for x	x(8+2)+3=2(5+x)+5(x+1)-6	$x (8 + 2) + 3 = 2 (5 + x) + 5 (x + 1) - 6$
35772	Simplify	( square root of 7x^5y)÷( square root of 28xy^3)	$\sqrt{7 x^{5} y} \div \sqrt{28 x y^{3}}$
35773	Evaluate	((2*4)^2-2^4)/-12	$\frac{{(2 \cdot 4)}^{2} - 2^{4}}{- 12}$
35774	Solve the Rational Equation for x	square root of x-2 = square root of x-10	$\sqrt{x} - 2 = \sqrt{x - 10}$
35775	Divide	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
35776	Find the Asymptotes	(3x^2-6x)/(2x^2-24x+70)	$\frac{3 x^{2} - 6 x}{2 x^{2} - 24 x + 70}$
35777	Evaluate	3/5(-1)^(5/3)	$\frac{3}{5} {(- 1)}^{\frac{5}{3}}$
35778	Multiply	-5(2x^2+9x)	$- 5 (2 x^{2} + 9 x)$
35779	Simplify	( cube root of 27xy)/(xy^(-1/2))	$\frac{\sqrt[3]{27 x y}}{x y^{- \frac{1}{2}}}$
35780	Rationalize the Denominator	(3x)/( fourth root of 27x^2)	$\frac{3 x}{\sqrt[4]{27 x^{2}}}$
35781	Evaluate the Integral	integral of 5/((1-x)^2) with respect to x	$\int \frac{5}{{(1 - x)}^{2}} d x$
35782	Simplify	(1.3a^6b^11c^5)(0.5a^2bc^3)	$(1.3 a^{6} b^{11} c^{5}) (0.5 a^{2} b c^{3})$
35783	Simplify	(-7-x^4)+(6x-7x^4)+(-8+7x)	$(- 7 - x^{4}) + (6 x - 7 x^{4}) + (- 8 + 7 x)$
35784	Evaluate	(1/(3y^3))^-3	${(\frac{1}{3 y^{3}})}^{- 3}$
35785	Solve the Absolute Value Inequality for x	-4\|x-7\|+5=-19	$- 4 \| x - 7 \| + 5 = - 19$
35786	Solve using Gaussian Elimination	2x_1+3x_2-8x_3=105 -x_1+x_2-x_3=10 8x_1-5x_2+3x_3=-10	$2 x_{1} + 3 x_{2} - 8 x_{3} = 105$ $- x_{1} + x_{2} - x_{3} = 10$ $8 x_{1} - 5 x_{2} + 3 x_{3} = - 10$
35787	Simplify	60/(( square root of 3)( square root of 12))	$\frac{60}{(\sqrt{3}) (\sqrt{12})}$
35788	Evaluate the Function	f(3)=2(0.75)^3	$f (3) = 2 {(0.75)}^{3}$
35789	Solve by Graphing	y=-4/9x-3 y=-7/5x-3	$y = - \frac{4}{9} x - 3$ $y = - \frac{7}{5} x - 3$
35790	Graph	y>2x 3 y>=2x-2	$y > 2 x$ $3$ $y \geq 2 x - 2$
35791	Simplify	kp(x+1)-kp	$k p (x + 1) - k p$
35792	Solve for x	(8x+7)/6+(3-2x)/4-(5x-2)/2=32	$\frac{(8 x + 7)}{6} + \frac{(3 - 2 x)}{4} - \frac{(5 x - 2)}{2} = 32$
35793	Solve for x	square root of 25 = square root of x^2	$\sqrt{25} = \sqrt{x^{2}}$
35794	Simplify	( fifth root of x^2)/( fifth root of x)	$\frac{\sqrt[5]{x^{2}}}{\sqrt[5]{x}}$
35795	Evaluate	((-4)^33^712)/(6^6*2^5)	$\frac{{(- 4)}^{3} \cdot 3^{7} \cdot 12}{6^{6} \cdot 2^{5}}$
35796	Find dx/dy	y=sec(x)+tan(x)	$y = \sec (x) + \tan (x)$
35797	Find the Domain and Range	- cube root of x+4-2	$- \sqrt[3]{x + 4} - 2$
35798	Find the Inverse	f(x)=4 seventh root of x-8+5	$f (x) = 4 \sqrt[7]{x - 8} + 5$
35799	Add	1/4+3/8+1/16	$\frac{1}{4} + \frac{3}{8} + \frac{1}{16}$
35800	Simplify	x^4y^2xy^-7x^-3	$x^{4} y^{2} \cdot x y^{- 7} \cdot x^{- 3}$