Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32801	Simplify	square root of 3*(- square root of 2)	$\sqrt{3} \cdot (- \sqrt{2})$
32802	Solve by Graphing	6x-9=y y=-3x	$6 x - 9 = y$ $y = - 3 x$
32803	Simplify the Radical Expression	cube root of (108x^9y^10)/(2xy^3)	$\sqrt[3]{\frac{108 x^{9} y^{10}}{2 x y^{3}}}$
32804	Simplify the Radical Expression	fifth root of 7^3* cube root of 7^4	$\sqrt[5]{7^{3}} \cdot \sqrt[3]{7^{4}}$
32805	Evaluate	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
32806	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,6) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 3, 6)$ and has a slope of $- 2$ ?
32807	Find the Center and Radius	9y^2-16x^2=144	$9 y^{2} - 16 x^{2} = 144$
32808	Divide	(-18a+6a^2)/(-3a)	$\frac{- 18 a + 6 a^{2}}{- 3 a}$
32809	Solve the Inequality for x	5x-6y<2y-x+8	$5 x - 6 y < 2 y - x + 8$
32810	Expand Using Sum/Difference Formulas	csc(pi/2-x)	$\csc (\frac{π}{2} - x)$
32811	Solve the Inequality for x	1/x-x<0	$\frac{1}{x} - x < 0$
32812	Find the Inverse	y=x/2+3	$y = \frac{x}{2} + 3$
32813	Evaluate	(5/2-6/4)^3	${(\frac{5}{2} - \frac{6}{4})}^{3}$
32814	Find the Antiderivative	f(x)=x^2+3/( square root of x)	$f (x) = x^{2} + \frac{3}{\sqrt{x}}$
32815	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-7) and has a slope of -1 ?	What is the equation of the line that passes through the point $(5, - 7)$ and has a slope of $- 1$ ?
32816	Find the Center and Radius	x^2+y^2=3^2	$x^{2} + y^{2} = 3^{2}$
32817	Find the Tangent of the Angle	(5pi)/3	$\frac{5 π}{3}$
32818	Evaluate	8+24÷(12*4)	$8 + 24 \div (12 \cdot 4)$
32819	Evaluate	2b^3+5=2(3)^3+5	$2 b^{3} + 5 = 2 {(3)}^{3} + 5$
32820	Evaluate the Summation	sum from k=1 to 3 of (k^2)/(k+1)	$\sum_{k = 1}^{3} \frac{k^{2}}{k + 1}$
32821	Find the x and y Intercepts	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
32822	Solve for x	3/4(-5x-8)=-6(x+4)+1/4x	$\frac{3}{4} (- 5 x - 8) = - 6 (x + 4) + \frac{1}{4} x$
32823	Evaluate the Summation	2 sum from p=0 to 5 of 9-p	$2 \sum_{p = 0}^{5} 9 - p$
32824	Subtract	(6n)/(n^2-9)-3/(n+3)	$\frac{6 n}{n^{2} - 9} - \frac{3}{n + 3}$
32825	Evaluate the Integral	integral from 2 to 4 of x/( square root of x^2-4) with respect to x	$\int_{2}^{4} \frac{x}{\sqrt{x^{2} - 4}} d x$
32826	Simplify	2^n2^(n+2)2	$2^{n} \cdot 2^{n + 2} \cdot 2$
32827	Solve the System of Equations	x^2+y^2=400 y=x-28	$x^{2} + y^{2} = 400$ $y = x - 28$
32828	Evaluate	1/(( fifth root of -32)^-3)	$\frac{1}{{(\sqrt[5]{- 32})}^{- 3}}$
32829	Find the Exact Value	sin(-5/4pi)	$\sin (- \frac{5}{4} π)$
32830	Find the Equation Using Point-Slope Formula	through: (3,5) , slope=5/3	through: $(3, 5)$ , $s l o p e = \frac{5}{3}$
32831	Evaluate	8^(2/3)+8^(-2/3)	$8^{\frac{2}{3}} + 8^{- \frac{2}{3}}$
32832	Evaluate the Function	g(x)=14*2^x	$g (x) = 14 \cdot 2^{x}$
32833	Solve for c	c=72(27)^(2/3)	$c = 72 {(27)}^{\frac{2}{3}}$
32834	Simplify	((3x^2y)/z)^4	${(\frac{3 x^{2} y}{z})}^{4}$
32835	Evaluate Using the Given Value	Evaluate the expression bh if b=12 , h=9	Evaluate the expression $b h$ if $b = 12$ , $h = 9$
32836	Simplify	(x^3)/(x^2-x)	$\frac{x^{3}}{x^{2} - x}$
32837	Factor	x^2(a-b)-6x(a-b)-9(b-a)	$x^{2} (a - b) - 6 x (a - b) - 9 (b - a)$
32838	Solve for x	8/5=(11x)/4	$\frac{8}{5} = \frac{11 x}{4}$
32839	Find the Derivative - d/dx	e^(5x)=sin(x+3y)	$e^{5 x} = \sin (x + 3 y)$
32840	Find the Slope	What is the slope of the line through (-1,-7) and (3,9) ?	What is the slope of the line through $(- 1, - 7)$ and $(3, 9)$ ?
32841	Solve for x	4x-2=-3x^2+3x	$4 x - 2 = - 3 x^{2} + 3 x$
32842	Find the Domain and Range	f(x)=2x,x<1; 5,x=1; x^2,x>1	$f (x) = {\begin{cases} 2 x, x < 1 \\ 5, x = 1 \\ x^{2}, x > 1 \end{cases}$
32843	Write the Fraction in Simplest Form	(3m^8)/((4mt^-2)^2)	$\frac{3 m^{8}}{{(4 m t^{- 2})}^{2}}$
32844	Write the Fraction in Simplest Form	(-3y^-5)/(5(y)^2)	$\frac{- 3 y^{- 5}}{5 {(y)}^{2}}$
32845	Evaluate	square root of 3(1)-2	$\sqrt{3 (1) - 2}$
32846	Find the Excluded Values	3/x=9/(8x)+3	$\frac{3}{x} = \frac{9}{8 x} + 3$
32847	Solve for x	4x^2-36=3x^2-5x	$4 x^{2} - 36 = 3 x^{2} - 5 x$
32848	Solve the Inequality for x	-18<3(x+2)<12	$- 18 < 3 (x + 2) < 12$
32849	Simplify	seventh root of 3-3 seventh root of 3+5 seventh root of 3	$\sqrt[7]{3} - 3 \sqrt[7]{3} + 5 \sqrt[7]{3}$
32850	Describe the Transformation	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
32851	Simplify the Radical Expression	(5a^3b^2)2/3	$(5 a^{3} b^{2}) \frac{2}{3}$
32852	Find the x-intercept	f(x)=2x-6	$f (x) = 2 x - 6$
32853	Evaluate	0- square root of 3	$0 - \sqrt{3}$
32854	Evaluate	(tan(x))/(csc(x)^2)+(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\csc^{2} (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
32855	Evaluate the Function	f(x+3)=f(x+1)+4x+12	$f (x + 3) = f (x + 1) + 4 x + 12$
32856	Find dy/dx	-1=5x^2+xy	$- 1 = 5 x^{2} + x y$
32857	Simplify	(3^-3)/(6^-2)	$\frac{3^{- 3}}{6^{- 2}}$
32858	Simplify	y/(x^2)+y/(x^3)	$\frac{y}{x^{2}} + \frac{y}{x^{3}}$
32859	Find the Inverse	f(x)=((x-7)^(1/5))/7+9	$f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$
32860	Find the Inverse	y = square root of x-2+2	$y = \sqrt{x - 2 + 2}$
32861	Evaluate Using the Given Value	What is the value of 2(x-3y+8)+7+4x ; when x=5 and y=3 ?	What is the value of $2 (x - 3 y + 8) + 7 + 4 x$ ; when $x = 5$ and $y = 3$ ?
32862	Evaluate	5x-2y>3	$5 x - 2 y > 3$
32863	Multiply	(3y^4)(y^3-6y^2)	$(3 y^{4}) (y^{3} - 6 y^{2})$
32864	Factor	(4x^2+5x)^2-5(4x^2+5x)-6	${(4 x^{2} + 5 x)}^{2} - 5 (4 x^{2} + 5 x) - 6$
32865	Solve for x	5x+6x-2x=3x-18+12-6	$5 x + 6 x - 2 x = 3 x - 18 + 12 - 6$
32866	Evaluate the Function	f(-2)=-2+6	$f (- 2) = - 2 + 6$
32867	Evaluate Using the Given Value	Evaluate the expression x+y when x=2 and y=5	Evaluate the expression $x + y$ when $x = 2$ and $y = 5$
32868	Simplify	y-1/(y^2)	$y - \frac{1}{y^{2}}$
32869	Simplify the Radical Expression	y^(3/4)*y^(1/3)	$y^{\frac{3}{4}} \cdot y^{\frac{1}{3}}$
32870	Write in Standard Form	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
32871	Graph	S(t) = square root of x-3+1	$S (t) = \sqrt{x - 3} + 1$
32872	Simplify the Radical Expression	7 square root of y^3	$7 \sqrt{y^{3}}$
32873	Divide	(5n^3+4n^2+2n)÷4n	$(5 n^{3} + 4 n^{2} + 2 n) \div 4 n$
32874	Multiply	(42a^2-24a)/(21a-12)*(3a-9)/(6a^2+24a)	$\frac{42 a^{2} - 24 a}{21 a - 12} \cdot \frac{3 a - 9}{6 a^{2} + 24 a}$
32875	Graph	y=sin(2)(x-pi/2)	$y = \sin (2) (x - \frac{π}{2})$
32876	Simplify	(x^4y^3)(-5xy^3)^4	$(x^{4} y^{3}) {(- 5 x y^{3})}^{4}$
32877	Simplify	(x^2-2xy+y^2)/(x/y-y/x)	$\frac{x^{2} - 2 x y + y^{2}}{\frac{x}{y} - \frac{y}{x}}$
32878	Simplify	(4 square root of 2)/(4 square root of 3)	$\frac{4 \sqrt{2}}{4 \sqrt{3}}$
32879	Find the Derivative of the Integral	integral from 1 to 3x+2 of t/(1+t^3) with respect to t	$\int_{1}^{3 x + 2} \frac{t}{1 + t^{3}} d t$
32880	Write in Standard Form	(8d^4)(-8d^4)	$(8 d^{4}) (- 8 d^{4})$
32881	Solve for S	P=S-Sdt	$P = S - S d t$
32882	Find All Complex Solutions	(11pi)/12=(3pi)/4+pi/6	$\frac{11 π}{12} = \frac{3 π}{4} + \frac{π}{6}$
32883	Simplify	square root of (9x^9)/(75x^5)	$\sqrt{\frac{9 x^{9}}{75 x^{5}}}$
32884	Solve for x	3^x*9^(2x-3)=27^(x+9)	$3^{x} \cdot 9^{2 x - 3} = 27^{x + 9}$
32885	Solve for r	(3a+b)/(2r)=6	$\frac{3 a + b}{2 r} = 6$
32886	Simplify	sin(theta)^2+sin(theta)csc(theta)+cos(theta)^2	$\sin^{2} (θ) + \sin (θ) \csc (θ) + \cos^{2} (θ)$
32887	Find the Asymptotes	f(x)=(10x^3+2x^2+5x+6)/(5x^3+x^2+9x+11)	$f (x) = \frac{10 x^{3} + 2 x^{2} + 5 x + 6}{5 x^{3} + x^{2} + 9 x + 11}$
32888	Simplify	10+3(12÷(3x))	$10 + 3 (12 \div (3 x))$
32889	Simplify	(3m+6)/(12m-36)-6/(12m-36)	$\frac{3 m + 6}{12 m - 36} - \frac{6}{12 m - 36}$
32890	Simplify	(10x^4+3x^2-5x+4)+(7x^5-5x^4+2x-9)	$(10 x^{4} + 3 x^{2} - 5 x + 4) + (7 x^{5} - 5 x^{4} + 2 x - 9)$
32891	Solve for x	(4x)^(1/3)-x=0	${(4 x)}^{\frac{1}{3}} - x = 0$
32892	Write as a Single Logarithm	6* log base 4 of 2- log base 4 of 8	$6 \cdot \log_{4} (2) - \log_{4} (8)$
32893	Solve the Inequality for x	5x^2-22x+1>=-7	$5 x^{2} - 22 x + 1 \geq - 7$
32894	Simplify	x^2y^2*x^6y^7	$x^{2} y^{2} \cdot x^{6} y^{7}$
32895	Find the Derivative - d/dx	sinh(7 natural log of x)	$\sinh (7 \ln (x))$
32896	Solve for A	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
32897	Solve for y	x+3i=9-yi	$x + 3 i = 9 - y i$
32898	Graph	g(x)=(1/3x)^3	$g (x) = {(\frac{1}{3} x)}^{3}$
32899	Simplify	(3x^2+x)^3	${(3 x^{2} + x)}^{3}$
32900	Solve for x	4^x=3/2x+3	$4^{x} = \frac{3}{2} x + 3$