Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9501	Write as a Single Logarithm	2 natural log of x-3 natural log of y-4 natural log of z	$2 \ln (x) - 3 \ln (y) - 4 \ln (z)$
9502	Solve for x	fourth root of x+8 = fourth root of 3x	$\sqrt[4]{x + 8} = \sqrt[4]{3 x}$
9503	Simplify the Radical Expression	( eighth root of 81)/( sixth root of 3)	$\frac{\sqrt[8]{81}}{\sqrt[6]{3}}$
9504	Subtract	(4x^5-3x^3+2x^2-7)-(x^4+2x^3-4x-3)	$(4 x^{5} - 3 x^{3} + 2 x^{2} - 7) - (x^{4} + 2 x^{3} - 4 x - 3)$
9505	Simplify	sin(x)^2(sec(x)^2+csc(x)^2)	$\sin^{2} (x) (\sec^{2} (x) + \csc^{2} (x))$
9506	Evaluate the Limit	limit as x approaches 8 of ( square root of 12-x-2)/( square root of 24-x-4)	$lim_{x \to 8} \frac{\sqrt{12 - x} - 2}{\sqrt{24 - x} - 4}$
9507	Find the Product	(a^2+b)(a+b^2)	$(a^{2} + b) (a + b^{2})$
9508	Find the Inflection Points	f(x)=1/4x^4+x^3+3/2x^2	$f (x) = \frac{1}{4} x^{4} + x^{3} + \frac{3}{2} x^{2}$
9509	Simplify	3x fourth root of 8x^2y^2*5y fourth root of 8x^2y^4	$3 x \sqrt[4]{8 x^{2} y^{2}} \cdot 5 y \sqrt[4]{8 x^{2} y^{4}}$
9510	Solve the Rational Equation for x	square root of 14-5x=x-4	$\sqrt{14 - 5 x} = x - 4$
9511	Graph	2-(x-1)^3	$2 - {(x - 1)}^{3}$
9512	Find the Domain and Range	y=12arcsec(2x-5)	$y = 12 arcsec (2 x - 5)$
9513	Simplify	(8 square root of 5)/(4 square root of 3)	$\frac{8 \sqrt{5}}{4 \sqrt{3}}$
9514	Solve for m	-2.1(m-3/4)=-7	$- 2.1 (m - \frac{3}{4}) = - 7$
9515	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,1) and has a slope of 1 ?	What is the equation of the line that passes through the point $(5, 1)$ and has a slope of $1$ ?
9516	Solve the Inequality for q	7<4q-9	$7 < 4 q - 9$
9517	Simplify	y square root of 12x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{12 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
9518	Simplify	3y cube root of 8x^3y^11	$3 y \sqrt[3]{8 x^{3} y^{11}}$
9519	Multiply	(x^2-1)/(x^2+5x+4)*(x^2)/(x^2-x)	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \cdot \frac{x^{2}}{x^{2} - x}$
9520	Evaluate	e^(5x-2)=6	$e^{5 x - 2} = 6$
9521	Simplify	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
9522	Simplify	(15/16)/(3/5)	$\frac{\frac{15}{16}}{\frac{3}{5}}$
9523	Solve for x	5(x-2)=(15x+6)/3-12	$5 (x - 2) = \frac{15 x + 6}{3} - 12$
9524	Simplify	((m^(-1/2)n^2)^(5/4))/(m^2n^(1/2))	$\frac{{(m^{- \frac{1}{2}} n^{2})}^{\frac{5}{4}}}{m^{2} n^{\frac{1}{2}}}$
9525	Find the Domain and Range	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
9526	Simplify	Subtract -5x^2+10x-1 from 6x^2-x+3	Subtract $- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
9527	Find the Domain and Range	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
9528	Solve for Q	6Q=14-2P	$6 Q = 14 - 2 P$
9529	Evaluate the Limit	limit as x approaches 10 of \|-x-5\|	$lim_{x \to 10} \| - x - 5 \|$
9530	Graph	y>-x+4 and y>=5	$y > - x + 4$ and $y \geq 5$
9531	Solve the System of Equations	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
9532	Solve for x	(2/3)^(5x+2)=(3/2)^(2X)	${(\frac{2}{3})}^{5 x + 2} = {(\frac{3}{2})}^{2 X}$
9533	Multiply	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
9534	Solve for x	2x^(16/5)-16x^(13/5)=0	$2 x^{\frac{16}{5}} - 16 x^{\frac{13}{5}} = 0$
9535	Simplify	cube root of (18n^2)/(24n)	$\sqrt[3]{\frac{18 n^{2}}{24 n}}$
9536	Simplify	(x^2+2)/4+(2x^2-1)/5	$\frac{x^{2} + 2}{4} + \frac{2 x^{2} - 1}{5}$
9537	Solve for x	x+6/x-5=0	$x + \frac{6}{x} - 5 = 0$
9538	Write the Fraction in Simplest Form	((5v^3)^3)/(2v^10)	$\frac{{(5 v^{3})}^{3}}{2 v^{10}}$
9539	Simplify the Radical Expression	fourth root of 8^3	$\sqrt[4]{8^{3}}$
9540	Simplify	4-2y+(-8y)+6.2	$4 - 2 y + (- 8 y) + 6.2$
9541	Simplify	(4r^2v^0t^5)/(2rt^3)	$\frac{4 r^{2} v^{0} t^{5}}{2 r t^{3}}$
9542	Find the Degree, Leading Term, and Leading Coefficient	1-x/5	$1 - \frac{x}{5}$
9543	Find the Derivative - d/dx	y=(8x^3)/16	$y = \frac{8 x^{3}}{16}$
9544	Find the Integral	x/(x-1)	$\frac{x}{x - 1}$
9545	Convert to Radical Form	1/((x^2-6)^(-5/2))	$\frac{1}{{(x^{2} - 6)}^{- \frac{5}{2}}}$
9546	Solve the Function Operation	Given g(x)=2x+3 ; find g(-3)	Given $g (x) = 2 x + 3$ ; find $g (- 3)$
9547	Simplify	((4c^2-1)/(3c))/((2c+1)/(9c^2))	$\frac{\frac{4 c^{2} - 1}{3 c}}{\frac{2 c + 1}{9 c^{2}}}$
9548	Solve by Addition/Elimination	-x+y=1 x+y=11	$- x + y = 1$ $x + y = 11$
9549	Find the Holes in the Graph	(4x+18)/(-3x)	$\frac{4 x + 18}{- 3 x}$
9550	Find the Derivative - d/dx	y=(3x^4-7)*(5x^2+1)	$y = (3 x^{4} - 7) \cdot (5 x^{2} + 1)$
9551	Solve for x	cos(x+pi/4)=0	$\cos (x + \frac{π}{4}) = 0$
9552	Solve for x	1/3-10/(x+5)=4	$\frac{1}{3} - \frac{10}{x + 5} = 4$
9553	Solve for x	cos(x)^2=2cos(x)+3	$\cos^{2} (x) = 2 \cos (x) + 3$
9554	Simplify the Radical Expression	fourth root of (81x^2y^4)/(z^8)	$\sqrt[4]{\frac{81 x^{2} y^{4}}{z^{8}}}$
9555	Simplify	(7^4)/(4^2)	$\frac{7^{4}}{4^{2}}$
9556	Solve the Inequality for y	y+6>=-13	$y + 6 \geq - 13$
9557	Evaluate the Limit	limit as x approaches 4 of (3x-12)/(4-x)	$lim_{x \to 4} \frac{3 x - 12}{4 - x}$
9558	Find the Derivative - d/dx	y=arctan( square root of x-7)	$y = \arctan (\sqrt{x - 7})$
9559	Simplify	square root of (121a^2b^2)/(9h^4)	$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$
9560	Solve the System of Equations	2x-2y+4z=5 4x-4y+5z=4 2z=4	$2 x - 2 y + 4 z = 5$ $4 x - 4 y + 5 z = 4$ $2 z = 4$
9561	Graph	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
9562	Factor	5p*(r-s)-(r-s)	$5 p \cdot (r - s) - (r - s)$
9563	Solve for v	b=3v/h	$b = 3 \frac{v}{h}$
9564	Simplify	Subtract -2x^2+3x-9 from 8x^2+10x-10	Subtract $- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
9565	Graph	y<=-2 square root of x-6	$y \leq - 2 \sqrt{x - 6}$
9566	Find the Antiderivative	square root of x^2+8x+6	$\sqrt{x^{2} + 8 x + 6}$
9567	Solve the System of Equations	x^2+y^2=5 y=2x	$x^{2} + y^{2} = 5$ $y = 2 x$
9568	Solve for x	a square root of x+b=c	$a \sqrt{x} + b = c$
9569	Find the Derivative - d/dx	e^x-e	$e^{x} - e$
9570	Solve the System of Equations	x=5y 3x-15y=0	$x = 5 y$ $3 x - 15 y = 0$
9571	Integrate Using Trig Substitution	integral of cos(x)^3sin(x)^2 with respect to x	$\int \cos^{3} (x) \sin^{2} (x) d x$
9572	Find the Holes in the Graph	f(x)=(x-5)/(3x^2-16x+5)	$f (x) = \frac{x - 5}{3 x^{2} - 16 x + 5}$
9573	Add	(-3+3n^5+6n^3)+(7n^5+5n^3-3)	$(- 3 + 3 n^{5} + 6 n^{3}) + (7 n^{5} + 5 n^{3} - 3)$
9574	Evaluate the Function	h(x)=2/3x-1 , h(9)	$h (x) = \frac{2}{3} x - 1$ , $h (9)$
9575	Plot	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
9576	Simplify	fifth root of (x^15z^5)/(y^50)	$\sqrt[5]{\frac{x^{15} z^{5}}{y^{50}}}$
9577	Evaluate	7^(x-5)=49^x	$7^{x - 5} = 49^{x}$
9578	Evaluate the Limit	limit as x approaches c of (27)^(2/3)	$lim_{x \to c} {(27)}^{\frac{2}{3}}$
9579	Solve for s	(s+1)/4=4/8	$\frac{s + 1}{4} = \frac{4}{8}$
9580	Write in Standard Form	2x=4y	$2 x = 4 y$
9581	Verify the Identity	(x-y)^2=x^2-2xy+y^2	${(x - y)}^{2} = x^{2} - 2 x y + y^{2}$
9582	Solve the Function Operation	f(x)=(x+7)^5 ; find f^-1(x)	$f (x) = {(x + 7)}^{5}$ ; find $f^{- 1} (x)$
9583	Simplify	(3/(5c^2))^0	${(\frac{3}{5 c^{2}})}^{0}$
9584	Solve for x	(4x+1)/(x+1)=12/(x^2-1)+3	$\frac{4 x + 1}{x + 1} = \frac{12}{x^{2} - 1} + 3$
9585	Solve the Function Operation	Find g(4c) if g(x)=2x^2-3x+8	Find $g (4 c)$ if $g (x) = 2 x^{2} - 3 x + 8$
9586	Solve for x	(1/81)^(6x+2)=9^(2x^2+12)	${(\frac{1}{81})}^{6 x + 2} = 9^{2 x^{2} + 12}$
9587	Find the End Behavior	h(x)=-5x^9+6x^7-5x^4+x^2-1	$h (x) = - 5 x^{9} + 6 x^{7} - 5 x^{4} + x^{2} - 1$
9588	Factor	(64-m^3)/((4-m)^3)	$\frac{64 - m^{3}}{{(4 - m)}^{3}}$
9589	Find the Distance Between Two Points	find the distance between the pair of points (18,22) and (-13,-7)	find the distance between the pair of points $(18, 22)$ and $(- 13, - 7)$
9590	Solve the Inequality for x	x/5<=-3/5	$\frac{x}{5} \leq - \frac{3}{5}$
9591	Simplify	((4m^2n^2)/(8m^-1l))^0	${(\frac{4 m^{2} n^{2}}{8 m^{- 1} l})}^{0}$
9592	Solve for x	3^x+3^(3-x)=12	$3^{x} + 3^{3 - x} = 12$
9593	Simplify	12/(4^(3/2))	$\frac{12}{4^{\frac{3}{2}}}$
9594	Find the Domain	(a/(a-b)-(a-b)/(a+b)+(b^2)/(a^2-b^2))*(a-b)/(3ab)	$(\frac{a}{a - b} - \frac{a - b}{a + b} + \frac{b^{2}}{a^{2} - b^{2}}) \cdot \frac{a - b}{3 a b}$
9595	Solve for x	1-5/(x+2)=7/(x^2-7x-18)	$1 - \frac{5}{x + 2} = \frac{7}{x^{2} - 7 x - 18}$
9596	Solve for x	2sin(x)cos(x) = square root of 2cos(x)	$2 \sin (x) \cos (x) = \sqrt{2} \cos (x)$
9597	Simplify	square root of 3/2+ square root of 24	$\sqrt{\frac{3}{2}} + \sqrt{24}$
9598	Find dy/dx	y=9^(1-x^2)	$y = 9^{1 - x^{2}}$
9599	Evaluate the Integral	integral of square root of x^2+8x+6 with respect to x	$\int \sqrt{x^{2} + 8 x + 6} d x$
9600	Find Where Increasing/Decreasing	y=1/3*5^x	$y = \frac{1}{3} \cdot 5^{x}$