Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21901	Simplify	(d^-4)/(e^-7)	$\frac{d^{- 4}}{e^{- 7}}$
21902	Divide	(8x^3+22x^2-163x-44)(x+6)^-1	$(8 x^{3} + 22 x^{2} - 163 x - 44) {(x + 6)}^{- 1}$
21903	Evaluate the Integral	integral from 0 to 4 of 1/((x-2)^2) with respect to x	$\int_{0}^{4} \frac{1}{{(x - 2)}^{2}} d x$
21904	Calculate the Square Root	-5 square root of 250x^7y^11	$- 5 \sqrt{250 x^{7} y^{11}}$
21905	Evaluate the Integral	integral from 1 to 2 of (x/2-2/x) with respect to x	$\int_{1}^{2} (\frac{x}{2} - \frac{2}{x}) d x$
21906	Evaluate	((6^-2x^5)/(6^-3x^-5))	$(\frac{6^{- 2} x^{5}}{6^{- 3} x^{- 5}})$
21907	Simplify	(3^(1/5))/( fifth root of -96)	$\frac{3^{\frac{1}{5}}}{\sqrt[5]{- 96}}$
21908	Find Amplitude, Period, and Phase Shift	f(x)=2-sin(1/2x)	$f (x) = 2 - \sin (\frac{1}{2} x)$
21909	Solve for d	t = square root of (2d)/a	$t = \sqrt{\frac{2 d}{a}}$
21910	Solve the Rational Equation for x	(17-3x)/((x-3)(x-4))=(x+1)/(x-4)	$\frac{17 - 3 x}{(x - 3) (x - 4)} = \frac{x + 1}{x - 4}$
21911	Multiply	4x^2(2x^3-4x^2+x)	$4 x^{2} (2 x^{3} - 4 x^{2} + x)$
21912	Solve the Function Operation	f(x)=-4 if x!=-3; -3 if x=-3 Find f(-2)	$f (x) = {\begin{cases} - 4 & x \neq - 3 \\ - 3 & x = - 3 \end{cases}$ Find $f (- 2)$
21913	Write in Standard Form	f(x)=2(x+9)(x+5)	$f (x) = 2 (x + 9) (x + 5)$
21914	Solve for t	10^(2t)=9 ?	$10^{2 t} = 9$ ?
21915	Solve for x	(1/16)^(3x-4)<=64^(x-1)	${(\frac{1}{16})}^{3 x - 4} \leq 64^{x - 1}$
21916	Find the Exact Value	2/5(1/3+1/2)	$\frac{2}{5} (\frac{1}{3} + \frac{1}{2})$
21917	Simplify	(1+3i)^2*(2+i)	${(1 + 3 i)}^{2} \cdot (2 + i)$
21918	Solve for y	4x-2y=12x	$4 x - 2 y = 12 x$
21919	Find the LCD	1/(3x+7) and 3/(7x)	$\frac{1}{3 x + 7}$ and $\frac{3}{7 x}$
21920	Graph	Graph 12x-9y=36	Graph $12 x - 9 y = 36$
21921	Multiply	(2x^2+x+2)(x^2-2x+3)	$(2 x^{2} + x + 2) (x^{2} - 2 x + 3)$
21922	Evaluate the Limit	limit as x approaches -4 of 4(x^3-8x^2+20x-16)tan(pix)	$lim_{x \to - 4} 4 (x^{3} - 8 x^{2} + 20 x - 16) \tan (π x)$
21923	Add	(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)	$(3 x^{3} - 2 x^{2} + 4 x - 8) - (5 x^{3} + 12 x^{2} - 3 x - 4)$
21924	Solve the Inequality for x	-3<-1/5(9x+1)+x	$- 3 < - \frac{1}{5} (9 x + 1) + x$
21925	Evaluate	((6-1)^3)/(-5(3+2))	$\frac{{(6 - 1)}^{3}}{- 5 (3 + 2)}$
21926	Simplify	4/(b-4)+3/(3b^2-18b)	$\frac{4}{b - 4} + \frac{3}{3 b^{2} - 18 b}$
21927	Find the Derivative - d/dx	2/3x^(-1/3)	$\frac{2}{3} x^{- \frac{1}{3}}$
21928	Evaluate the Limit	limit as x approaches 0 of (1-cos(2x)^2)/((2x)^2)	$lim_{x \to 0} \frac{1 - \cos^{2} (2 x)}{{(2 x)}^{2}}$
21929	Solve for x in Radians	square root of 3cot(x)=1	$\sqrt{3} \cot (x) = 1$
21930	Evaluate	g/(e^2)-r=m-y	$\frac{g}{e^{2}} - r = m - y$
21931	Find the Product	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
21932	Evaluate the Limit	limit as x approaches 2 of 2/(x-2)-(x+6)/(x^2-4)	$lim_{x \to 2} \frac{2}{x - 2} - \frac{x + 6}{x^{2} - 4}$
21933	Find the Midpoint	P_1=(2,-6) , P_2=(4,6)	$P_{1} = (2, - 6)$ , $P_{2} = (4, 6)$
21934	Solve for k	-3-0.1k=0.4k	$- 3 - 0.1 k = 0.4 k$
21935	Solve for x	4x-(4-x)=5x	$4 x - (4 - x) = 5 x$
21936	Solve for x	\|x-3\|=2\|x\|	$\| x - 3 \| = 2 \| x \|$
21937	Evaluate	(x^-3y^-3)/(x^-8y^2)	$\frac{x^{- 3} y^{- 3}}{x^{- 8} y^{2}}$
21938	Evaluate	8(-3)-(-2)^2*4	$8 (- 3) - {(- 2)}^{2} \cdot 4$
21939	Solve the Inequality for x	20-4/5x>=16	$20 - \frac{4}{5} x \geq 16$
21940	Describe the Transformation	y=2 cube root of x-4	$y = 2 \sqrt[3]{x - 4}$
21941	Simplify	(2x-2y+1)-(3y+4x)	$(2 x - 2 y + 1) - (3 y + 4 x)$
21942	Write in Slope-Intercept Form	(2,-2) and (8,1)	$(2, - 2)$ and $(8, 1)$
21943	Simplify	(17^16)/(17^-3)	$\frac{17^{16}}{17^{- 3}}$
21944	Graph	y<2x-1 y>2-x	$y < 2 x - 1$ $y > 2 - x$
21945	Find the Holes in the Graph	(x-2)/(x-4)	$\frac{x - 2}{x - 4}$
21946	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)/(2x-3)	$\frac{(2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63)}{2 x - 3}$
21947	Simplify	(7x^3+4x^2+2x)/(x^2)	$\frac{7 x^{3} + 4 x^{2} + 2 x}{x^{2}}$
21948	Find the Antiderivative	e^-1	$e^{- 1}$
21949	Find the Domain	f(x)=1/( square root of x^2-5x-6)	$f (x) = \frac{1}{\sqrt{x^{2} - 5 x - 6}}$
21950	Solve the Inequality for x	x>x	$x > x$
21951	Convert to a Decimal	16 dogs to 12 cats	$16$ dogs to $12$ cats
21952	Write Using Positive Exponents	-4^-2	$- 4^{- 2}$
21953	Find the Derivative - d/dy	y^(xy)	$y^{x y}$
21954	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+19x^3+25x^2-24x-27 is divided by x+3	Use synthetic division to find the result when $3 x^{4} + 19 x^{3} + 25 x^{2} - 24 x - 27$ is divided by $x + 3$
21955	Multiply	cube root of 7* cube root of 20* cube root of 14* cube root of 98	$\sqrt[3]{7} \cdot \sqrt[3]{20} \cdot \sqrt[3]{14} \cdot \sqrt[3]{98}$
21956	Simplify	(x^2-13x+36)+(x-9)	$(x^{2} - 13 x + 36) + (x - 9)$
21957	Solve for x	(3x-1)/(x-2)+3=x/(x-2)	$\frac{3 x - 1}{x - 2} + 3 = \frac{x}{x - 2}$
21958	Simplify	(a^-7*a^4)÷(a^-3)	$a^{- 7} \cdot a^{4} \div a^{- 3}$
21959	Factor by Grouping	a^3-m^3n^9	$a^{3} - m^{3} n^{9}$
21960	Solve by Substitution	5x-y=-5 and 3x-6y=24	$5 x - y = - 5$ and $3 x - 6 y = 24$
21961	Find the Derivative - d/dx	arctan(4x^2-3)	$\arctan (4 x^{2} - 3)$
21962	Find the Domain and Range	3x+5y-8=0	$3 x + 5 y - 8 = 0$
21963	Simplify	m/(m^2-4)+2/(3m+6)	$\frac{m}{m^{2} - 4} + \frac{2}{3 m + 6}$
21964	Solve for x	fourth root of 39-2x = fourth root of 2x-9	$\sqrt[4]{39 - 2 x} = \sqrt[4]{2 x - 9}$
21965	Simplify	(x+1)/x*5x^3	$\frac{x + 1}{x} \cdot 5 x^{3}$
21966	Solve the Inequality for x	(1/8)^(x-6)<4^(4x+5)	${(\frac{1}{8})}^{x - 6} < 4^{4 x + 5}$
21967	Find the Exact Value	cos(630 degrees )	$\cos (630 °)$
21968	Simplify	4+5y-3y-4+3y+2	$4 + 5 y - 3 y - 4 + 3 y + 2$
21969	Simplify	(17k+3)/(8k+4)+(3k+7)/(8k+4)	$\frac{17 k + 3}{8 k + 4} + \frac{3 k + 7}{8 k + 4}$
21970	Simplify	(2a^2b^5c)/(4ab^2c)	$\frac{2 a^{2} b^{5} c}{4 a b^{2} c}$
21971	Convert to a Decimal	289mi on 10gal	$289 miles$ on $10 gallons$
21972	Factor	x^(3/2)-4x^(-1/2)	$x^{\frac{3}{2}} - 4 x^{- \frac{1}{2}}$
21973	Solve the Inequality for x	x/1+5>5	$\frac{x}{1} + 5 > 5$
21974	Evaluate the Function	f(12)=2/3x+3	$f (12) = \frac{2}{3} x + 3$
21975	Determine if (0,0) is a Solution	y>=-2/5x+4 , (0,0)	$y \geq - \frac{2}{5} x + 4$ , $(0, 0)$
21976	Solve the Inequality for x	126<9(x+3)	$126 < 9 (x + 3)$
21977	Find the LCD	3/(2(x+12)) , 5/(8(x+12))	$\frac{3}{2 (x + 12)}$ , $\frac{5}{8 (x + 12)}$
21978	Find Amplitude, Period, and Phase Shift	y=1-3sin(2/3x)	$y = 1 - 3 \sin (\frac{2}{3} x)$
21979	Solve for h	-1/2=-5/18h	$- \frac{1}{2} = - \frac{5}{18} h$
21980	Find the Focus	y=(x+3)^2-4	$y = {(x + 3)}^{2} - 4$
21981	Solve for x	\| square root of x-4\|=2	$\| \sqrt{x} - 4 \| = 2$
21982	Evaluate	(2-3i)^-1	${(2 - 3 i)}^{- 1}$
21983	Simplify	(x^2-7x+10)/(2x^5)*(6x^3)/(3x-15)	$\frac{x^{2} - 7 x + 10}{2 x^{5}} \cdot \frac{6 x^{3}}{3 x - 15}$
21984	Find the Antiderivative	x^2e^(x^3+1)	$x^{2} e^{x^{3} + 1}$
21985	Simplify	cube root of fourth root of 256	$\sqrt[3]{\sqrt[4]{256}}$
21986	Subtract	(6x^3-4x^2+x-9)-(3x^2+7x+3)	$(6 x^{3} - 4 x^{2} + x - 9) - (3 x^{2} + 7 x + 3)$
21987	Add	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
21988	Solve for x	(x^2+1)^-2=2-(x^2+1)^-2	${(x^{2} + 1)}^{- 2} = 2 - {(x^{2} + 1)}^{- 2}$
21989	Solve for x	(2x)/(x+1)+3/(x-1)=(3x)/(x-1)	$\frac{2 x}{x + 1} + \frac{3}{x - 1} = \frac{3 x}{x - 1}$
21990	Simplify	(x^2)/(x^4)-(x^2)^2	$\frac{x^{2}}{x^{4}} - {(x^{2})}^{2}$
21991	Solve for m	cube root of a=a^m	$\sqrt[3]{a} = a^{m}$
21992	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,7) and has a slope of 1/3 ?	What is the equation of the line that passes through the point $(- 3, 7)$ and has a slope of $\frac{1}{3}$ ?
21993	Solve for m	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
21994	Convert from Radians to Degrees	(11pi)/6rad	$\frac{11 π}{6}$ rad
21995	Evaluate	13/5213/5226/52	$\frac{13}{52} \cdot \frac{13}{52} \cdot \frac{26}{52}$
21996	Solve for u	\|(5u)/4-7\|+3=8	$\| \frac{5 u}{4} - 7 \| + 3 = 8$
21997	Find the Domain and Range	y=3sin(x/2-pi)-5	$y = 3 \sin (\frac{x}{2} - π) - 5$
21998	Factor	-16p^3q^2+24p^2q^3-32p^4q	$- 16 p^{3} q^{2} + 24 p^{2} q^{3} - 32 p^{4} q$
21999	Simplify	(x/9-p/18)/p	$\frac{\frac{x}{9} - \frac{p}{18}}{p}$
22000	Simplify	fifth root of 4x^6* fifth root of 8x^4	$\sqrt[5]{4 x^{6}} \cdot \sqrt[5]{8 x^{4}}$