Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9801	Find dy/dx	natural log of y+x/y=2021	$\ln (y) + \frac{x}{y} = 2021$
9802	Find the Derivative - d/dx	-2 square root of sin(x)	$- 2 \sqrt{\sin (x)}$
9803	Solve for n	-6=15m+9n	$- 6 = 15 m + 9 n$
9804	Graph	y=1/4tan(x-pi/4)	$y = \frac{1}{4} \tan (x - \frac{π}{4})$
9805	Graph	y = square root of 1/2x	$y = \sqrt{\frac{1}{2}} x$
9806	Simplify	3^(6*3)	$3^{6 \cdot 3}$
9807	Evaluate	square root of 2x+10-6=2	$\sqrt{2 x + 10} - 6 = 2$
9808	Solve for n	cube root of 14-10n=-2 cube root of n	$\sqrt[3]{14 - 10 n} = - 2 \sqrt[3]{n}$
9809	Simplify	square root of -9+10	$\sqrt{- 9 + 10}$
9810	Simplify the Radical Expression	square root of 200m^4n	$\sqrt{200 m^{4}} n$
9811	Solve for a	2a+b=c	$2 a + b = c$
9812	Find the Domain	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
9813	Solve for x	square root of x-5 = square root of 5x+29	$\sqrt{x} - 5 = \sqrt{5 x + 29}$
9814	Find dy/dx	y=1-xe^y	$y = 1 - x e^{y}$
9815	Write in Slope-Intercept Form	(1,-9) and (-3,-9)	$(1, - 9)$ and $(- 3, - 9)$
9816	Solve for c	square root of 6c-4=2	$\sqrt{6 c} - 4 = 2$
9817	Simplify the Radical Expression	7 square root of x-3 square root of x-2 square root of x	$7 \sqrt{x} - 3 \sqrt{x} - 2 \sqrt{x}$
9818	Find the Domain and Range	y=-3tan(2x)	$y = - 3 \tan (2 x)$
9819	Simplify	i^44*i^14	$i^{44} \cdot i^{14}$
9820	Find the Derivative - d/dx	integral from -2 to 2 of (x^3cos(x/2)+1/2) square root of 4-x^2dx with respect to x	$\int_{- 2}^{2} (x^{3} \cos (\frac{x}{2}) + \frac{1}{2}) \sqrt{4 - x^{2} d x} d x$
9821	Solve the System of Equations	2x+4y+z=1 x-2y-3z=2 x+y-z=-1	$2 x + 4 y + z = 1$ $x - 2 y - 3 z = 2$ $x + y - z = - 1$
9822	Find the Product	6(7n^2+n-2)	$6 (7 n^{2} + n - 2)$
9823	Find the Product	6x(x^2-4x-3)	$6 x (x^{2} - 4 x - 3)$
9824	Solve for x	x^2-3/2x-27/16=0	$x^{2} - \frac{3}{2} x - \frac{27}{16} = 0$
9825	Solve the Rational Equation for a	square root of a/3=3	$\sqrt{\frac{a}{3}} = 3$
9826	Find the Roots (Zeros)	2x^2-4x+6=0	$2 x^{2} - 4 x + 6 = 0$
9827	Simplify	11(1/4x-2)+1/4x	$11 (\frac{1}{4} x - 2) + \frac{1}{4} x$
9828	Solve for x	3x-x/8=23	$3 x - \frac{x}{8} = 23$
9829	Find the Inflection Points	f(x)=1/15x^6-x^4	$f (x) = \frac{1}{15} x^{6} - x^{4}$
9830	Solve for x	81*9^(-2x-2)=27	$81 \cdot 9^{- 2 x - 2} = 27$
9831	Solve for x	(1/100)^(-2x+36)=(1/10)^(2x^2+2)	${(\frac{1}{100})}^{- 2 x + 36} = {(\frac{1}{10})}^{2 x^{2} + 2}$
9832	Solve for x	2+(3+5)=(2+x)+5	$2 + (3 + 5) = (2 + x) + 5$
9833	Solve the Rational Equation for x	2 square root of x-3=12	$2 \sqrt{x - 3} = 12$
9834	Simplify	(-28x^4y)/((2xy)^2)	$\frac{- 28 x^{4} y}{{(2 x y)}^{2}}$
9835	Find the Domain and Range	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
9836	Find the Exact Value	2^4+3^2-5	$2^{4} + 3^{2} - 5$
9837	Find All Complex Solutions	3x^2-4=0	$3 x^{2} - 4 = 0$
9838	Simplify	(11(-8)^(2/3))/7	$\frac{11 {(- 8)}^{\frac{2}{3}}}{7}$
9839	Evaluate	9\|12-14+1\|-1	$9 \| 12 - 14 + 1 \| - 1$
9840	Add	1/6+1/18+1/54+1/162+1/486	$\frac{1}{6} + \frac{1}{18} + \frac{1}{54} + \frac{1}{162} + \frac{1}{486}$
9841	Evaluate	8-5*3(-2)^3	$8 - 5 \cdot 3 {(- 2)}^{3}$
9842	Solve the Function Operation	Given g(x)=-x-3 ; find g(1)	Given $g (x) = - x - 3$ ; find $g (1)$
9843	Evaluate	14m^-4n^0	$14 m^{- 4} n^{0}$
9844	Simplify	(( square root of 2)/4+( square root of 3)/2i)^2	${(\frac{\sqrt{2}}{4} + \frac{\sqrt{3}}{2} i)}^{2}$
9845	Simplify	square root of 3/4* square root of 4/5	$\sqrt{\frac{3}{4}} \cdot \sqrt{\frac{4}{5}}$
9846	Simplify	((3x^2)^2(4y^5)^2)/(8x^3y^4)	$\frac{{(3 x^{2})}^{2} {(4 y^{5})}^{2}}{8 x^{3} y^{4}}$
9847	Evaluate	arcsec((-1)^-1)	$arcsec ({(- 1)}^{- 1})$
9848	Simplify	1/( square root of 2-1)	$\frac{1}{\sqrt{2 - 1}}$
9849	Write as a Single Logarithm	4* log of x-(2* log of v+3* log of y)	$4 \cdot \log (x) - (2 \cdot \log (v) + 3 \cdot \log (y))$
9850	Simplify	-6h^2+2j-14h^2-h^2+15j	$- 6 h^{2} + 2 j - 14 h^{2} - h^{2} + 15 j$
9851	Simplify	((8x^11y^-3)/(4x^5y^-7))^0	${(\frac{8 x^{11} y^{- 3}}{4 x^{5} y^{- 7}})}^{0}$
9852	Simplify	-7/(-3- square root of 11)	$\frac{- 7}{- 3 - \sqrt{11}}$
9853	Simplify	(x+10)/5+4/5x	$\frac{x + 10}{5} + \frac{4}{5} x$
9854	Solve for x	square root of 4x+3=x	$\sqrt{4 x} + 3 = x$
9855	Simplify	(4^-25^064)^3	${(4^{- 2} \cdot 5^{0} \cdot 64)}^{3}$
9856	Evaluate the Integral	integral of 5e^5x with respect to x	$\int 5 e^{5} x d x$
9857	Find the x and y Intercepts	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
9858	Find the Third Derivative	5x^2(x+47)	$5 x^{2} (x + 47)$
9859	Solve the System of Equations	y=3/2x-7 x+2y=-6	$y = \frac{3}{2} x - 7$ $x + 2 y = - 6$
9860	Solve for x	(3(7x+13))/(12x+15)=2	$\frac{3 (7 x + 13)}{12 x + 15} = 2$
9861	Find the Antiderivative	x*sin(x)	$x \cdot \sin (x)$
9862	Find All Complex Solutions	square root of 2x- square root of 36-2x=6	$\sqrt{2 x} - \sqrt{36 - 2 x} = 6$
9863	Solve the Inequality for x	(x-4)/5>=2	$\frac{x - 4}{5} \geq 2$
9864	Simplify	cube root of -125/8	$\sqrt[3]{- \frac{125}{8}}$
9865	Solve for x	4^(1-x)=1/4	$4^{1 - x} = \frac{1}{4}$
9866	Find the Derivative - d/dx	square root of x^2+3-2	$\sqrt{x^{2} + 3} - 2$
9867	Simplify	(4 square root of 15y^6-18 square root of 45y^5)/(2 square root of 5y^4)y^3	$\frac{4 \sqrt{15 y^{6}} - 18 \sqrt{45 y^{5}}}{2 \sqrt{5 y^{4}}} y^{3}$
9868	Simplify	(2x)/(x^(1/3)z^-3)	$\frac{2 x}{x^{\frac{1}{3}} z^{- 3}}$
9869	Find the Derivative - d/dx	x+3(1-x)^(1/3)	$x + 3 {(1 - x)}^{\frac{1}{3}}$
9870	Solve for x	x square root of 3 = square root of 33	$x \sqrt{3} = \sqrt{33}$
9871	Find the Degree, Leading Term, and Leading Coefficient	h(x)=5x^3-7x^-2+x-1	$h (x) = 5 x^{3} - 7 x^{- 2} + x - 1$
9872	Graph	y=x+2 3x+y=-6	$y = x + 2$ $3 x + y = - 6$
9873	Solve for x	(x+3)/5+2x=0	$\frac{x + 3}{5} + 2 x = 0$
9874	Solve by Graphing	y=3/5x-1 y=2/5x	$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$
9875	Find the Geometric Mean	4 and 12	$4$ and $12$
9876	Simplify	(a/(1+a)+(1-a)/a)/((1+a)/a+a/(1-a))	$\frac{\frac{a}{1 + a} + \frac{1 - a}{a}}{\frac{1 + a}{a} + \frac{a}{1 - a}}$
9877	Solve for x	square root of 4x-2 = square root of 2x-2	$\sqrt{4 x} - 2 = \sqrt{2 x - 2}$
9878	Find the Product	((x^2+2xy+y^2)(x^2-2xy+y^2))/(2(x+y))=0	$\frac{(x^{2} + 2 x y + y^{2}) (x^{2} - 2 x y + y^{2})}{2 (x + y)} = 0$
9879	Simplify the Radical Expression	sixth root of 125	$\sqrt[6]{125}$
9880	Solve for x	3(9x+2)+21x=1/2(6x-8)+75x	$3 (9 x + 2) + 21 x = \frac{1}{2} (6 x - 8) + 75 x$
9881	Convert to a Decimal	54deg	$54$ degrees
9882	Write the Fraction in Simplest Form	(5y)/((3y^5)^2)	$\frac{5 y}{{(3 y^{5})}^{2}}$
9883	Find the Degree, Leading Term, and Leading Coefficient	6x^3+1/8x^4+2	$6 x^{3} + \frac{1}{8} x^{4} + 2$
9884	Solve the Inequality for x	37>7-6x>-17	$37 > 7 - 6 x > - 17$
9885	Simplify	(15ab^5c^8)/(18ab^3c^9)	$\frac{15 a b^{5} c^{8}}{18 a b^{3} c^{9}}$
9886	Solve for x	1+2/(x-3)=(x+3)/(x^2-9)	$1 + \frac{2}{x - 3} = \frac{x + 3}{x^{2} - 9}$
9887	Simplify	1+x+(x^2)/(1-x)	$1 + x + \frac{x^{2}}{1 - x}$
9888	Solve the Function Operation	Given g(x)=-x+4 ; find g(-4)	Given $g (x) = - x + 4$ ; find $g (- 4)$
9889	Simplify	((3x^2y^6)/(6xy^2))^3	${(\frac{3 x^{2} y^{6}}{6 x y^{2}})}^{3}$
9890	Simplify	(-7ab^4c)^3((2a^2c)^2)^3	${(- 7 a b^{4} c)}^{3} {({(2 a^{2} c)}^{2})}^{3}$
9891	Find the Maximum/Minimum Value	f(x)=(x^2-4)^(2/3)	$f (x) = {(x^{2} - 4)}^{\frac{2}{3}}$
9892	Simplify	(x^(2n)y^n)/(x^ny)	$\frac{x^{2 n} y^{n}}{x^{n} y}$
9893	Evaluate	x^2-1=0	$x^{2} - 1 = 0$
9894	Find the Domain and Range	f(x)=x/( square root of x-4)	$f (x) = \frac{x}{\sqrt{x - 4}}$
9895	Simplify	(( square root of 7-3i)/2)(( square root of 7+3i)/4)	$(\frac{\sqrt{7} - 3 i}{2}) (\frac{\sqrt{7} + 3 i}{4})$
9896	Evaluate the Integral	integral of ((4+2 square root of x)^2)/( square root of x) with respect to x	$\int \frac{{(4 + 2 \sqrt{x})}^{2}}{\sqrt{x}} d x$
9897	Divide	(2n^3+4n^2+n)÷4n	$(2 n^{3} + 4 n^{2} + n) \div 4 n$
9898	Find the Roots (Zeros)	3x^2=-4x	$3 x^{2} = - 4 x$
9899	Find the Degree, Leading Term, and Leading Coefficient	h(p)=6p-p^3-2	$h (p) = 6 p - p^{3} - 2$
9900	Solve for x	-arcsec( square root of x)+arccsc( square root of x)+arcsin(0)=0	$- arcsec (\sqrt{x}) + arccsc (\sqrt{x}) + \arcsin (0) = 0$