Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23901	Find the Asymptotes	f(x) = square root of (4x+1)/(x-4)	$f (x) = \sqrt{\frac{4 x + 1}{x - 4}}$
23902	Simplify	(x^2+1+x-2)(2)	$(x^{2} + 1 + x - 2) (2)$
23903	Solve the System of Equations	2y-4=0 x+2y=5	$2 y - 4 = 0$ $x + 2 y = 5$
23904	Solve the Function Operation	f(x)=(x^7)/9 ; find f^-1(x)	$f (x) = \frac{x^{7}}{9}$ ; find $f^{- 1} (x)$
23905	Solve the Rational Equation for x	x-3/(x+1)=(3x)/(x+1)	$x - \frac{3}{x + 1} = \frac{3 x}{x + 1}$
23906	Find the Reference Angle	180/pi	$\frac{180}{π}$
23907	Solve the Absolute Value Inequality for x	\|3-2x\|=7	$\| 3 - 2 x \| = 7$
23908	Multiply	(x^2+6x+8)/(x^2+3x-10)*(x^2+2x-15)/(x^2+3x-4)	$\frac{x^{2} + 6 x + 8}{x^{2} + 3 x - 10} \cdot \frac{x^{2} + 2 x - 15}{x^{2} + 3 x - 4}$
23909	Solve Using the Quadratic Formula	-1/2x^2=-6x+20	$- \frac{1}{2} x^{2} = - 6 x + 20$
23910	Simplify	(-5.12)-(-4.7)+(7.021)	$(- 5.12) - (- 4.7) + (7.021)$
23911	Factor	28+56t+28w	$28 + 56 t + 28 w$
23912	Solve for x	8^(-3x-1)*(1/16)^x=4^(2x)	$8^{- 3 x - 1} \cdot {(\frac{1}{16})}^{x} = 4^{2 x}$
23913	Simplify	(2 square root of 52x^9)/( square root of 13x)	$\frac{2 \sqrt{52 x^{9}}}{\sqrt{13 x}}$
23914	Convert from Radians to Degrees	-8pirad	$- 8 π$ radians
23915	Find the LCD	5/(2y) , 3/y , 7/5	$\frac{5}{2 y}$ , $\frac{3}{y}$ , $\frac{7}{5}$
23916	Solve for x	square root of 4x = square root of 9+x	$\sqrt{4 x} = \sqrt{9 + x}$
23917	Simplify	square root of 3x^2*3 square root of 3x^4	$\sqrt{3 x^{2}} \cdot 3 \sqrt{3 x^{4}}$
23918	Solve for x	square root of 3 = square root of x+ square root of x-6	$\sqrt{3} = \sqrt{x} + \sqrt{x - 6}$
23919	Evaluate	sin(-3pi)	$\sin (- 3 π)$
23920	Solve the Function Operation	Given that f(x)=x^2-2x-80 and g(x)=x-10 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 2 x - 80$ and $g (x) = x - 10$ ; find $f (x) - g (x)$ and express the result in standard form.
23921	Solve the Function Operation	f(x)=-4 if x!=4; 6 if x=4 Find f(-1)	$f (x) = {\begin{cases} - 4 & x \neq 4 \\ 6 & x = 4 \end{cases}$ Find $f (- 1)$
23922	Solve the Inequality for x	x/2+1>-1+x/5	$\frac{x}{2} + 1 > - 1 + \frac{x}{5}$
23923	Find the Domain and Range	y=5cot(x/3-pi/4)	$y = 5 \cot (\frac{x}{3} - \frac{π}{4})$
23924	Simplify	(u^3v)(2v^2)	$(u^{3} v) (2 v^{2})$
23925	Solve for t	14-6t=t	$14 - 6 t = t$
23926	Expand the Logarithmic Expression	log base 2 of cube root of 4x-5	$\log_{2} (\sqrt[3]{4 x - 5})$
23927	Solve for x	4(2)^x=128	$4 {(2)}^{x} = 128$
23928	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+12x^2+23x+6 is divided by x+2	Use the long division method to find the result when $x^{3} + 12 x^{2} + 23 x + 6$ is divided by $x + 2$
23929	Write in Standard Form	5b=-9+2a	$5 b = - 9 + 2 a$
23930	Solve for x	(x-10)/4>(x-5)/6+7/12	$\frac{x - 10}{4} > \frac{x - 5}{6} + \frac{7}{12}$
23931	Simplify	(4x^2-1)/(x^2)	$\frac{4 x^{2} - 1}{x^{2}}$
23932	Integrate By Parts	integral of 1 with respect to x	$\int d x$
23933	Find the Concavity	f(x)=1/12x^4-1/2x^3+x^2+2x-1	$f (x) = \frac{1}{12} x^{4} - \frac{1}{2} x^{3} + x^{2} + 2 x - 1$
23934	Solve the Inequality for m	-3m>=9	$- 3 m \geq 9$
23935	Simplify the Radical Expression	5 fifth root of 2x^3y^4*3 fifth root of 16x^2y	$5 \sqrt[5]{2 x^{3} y^{4}} \cdot 3 \sqrt[5]{16 x^{2} y}$
23936	Simplify	(4x-1)(x-1)(3x+2)(x+1)	$(4 x - 1) (x - 1) (3 x + 2) (x + 1)$
23937	Find the Derivative - d/dx	cube root of x+ square root of x^5	$\sqrt[3]{x + \sqrt{x^{5}}}$
23938	Simplify	((n^2-15n+56)/(10n-30n^2))÷((8-n)/(21n-7))	$\frac{n^{2} - 15 n + 56}{10 n - 30 n^{2}} \div \frac{8 - n}{21 n - 7}$
23939	Solve the Rational Equation for x	-7/(x+7)+6=x/(x+7)	$- \frac{7}{x + 7} + 6 = \frac{x}{x + 7}$
23940	Solve the System of Inequalities	y>=-3/2x-7 y>=x+8	$y \geq - \frac{3}{2} x - 7$ $y \geq x + 8$
23941	Evaluate the Limit	limit as x approaches infinity of (5x^3-6x^2-9x-10)/(4x^4-3x^2+4x+7)	$lim_{x \to \infty} \frac{5 x^{3} - 6 x^{2} - 9 x - 10}{4 x^{4} - 3 x^{2} + 4 x + 7}$
23942	Solve the Inequality for x	3x^2+9x-61>-3x+2	$3 x^{2} + 9 x - 61 > - 3 x + 2$
23943	Determine if Dependent, Independent, or Inconsistent	y=-2x+3 4x+y=9	$y = - 2 x + 3$ $4 x + y = 9$
23944	Evaluate the Limit	limit as x approaches infinity of (3x^7-4x^2+1)/(5-10x^2)	$lim_{x \to \infty} \frac{3 x^{7} - 4 x^{2} + 1}{5 - 10 x^{2}}$
23945	Expand Using Sum/Difference Formulas	6x(x-2y)	$6 x (x - 2 y)$
23946	Solve the Inequality for x	3x^2+10x-99>-2x-3	$3 x^{2} + 10 x - 99 > - 2 x - 3$
23947	Simplify	( square root of 3)/(1-4 square root of 2)	$\frac{\sqrt{3}}{1 - 4 \sqrt{2}}$
23948	Divide Using Long Polynomial Division	2x^3+9x^2+10x+3 divided by 2x+1	$2 x^{3} + 9 x^{2} + 10 x + 3$ divided by $2 x + 1$
23949	Find the Domain	(x^3-8)/(x^2+x-2)	$\frac{x^{3} - 8}{x^{2} + x - 2}$
23950	Graph	y<=5x-1 and y>=-3x+4	$y \leq 5 x - 1$ and $y \geq - 3 x + 4$
23951	Convert to a Decimal	-15pirad	$- 15 π$ radians
23952	Multiply	pi*1/2	$π \cdot \frac{1}{2}$
23953	Simplify	(a+3)^2-a(a+3)	${(a + 3)}^{2} - a (a + 3)$
23954	Solve for x	(3x-7)/(5x)+1=-3/x	$\frac{3 x - 7}{5 x} + 1 = \frac{- 3}{x}$
23955	Solve for m	2.2m<11	$2.2 m < 11$
23956	Find dx/dy	y=x^3-2x^2-6x+pi	$y = x^{3} - 2 x^{2} - 6 x + π$
23957	Find dy/dx	x^2-2y^3+4y=2	$x^{2} - 2 y^{3} + 4 y = 2$
23958	Evaluate	5(10-(3+4)+1)-14	$5 (10 - (3 + 4) + 1) - 14$
23959	Find the Inflection Points	-1/15x^6+x^5-4x^4	$- \frac{1}{15} x^{6} + x^{5} - 4 x^{4}$
23960	Solve for x	1/2(3x+4)=5x	$\frac{1}{2} (3 x + 4) = 5 x$
23961	Simplify	((490)(486)(250))/((625)(84)(108))	$\frac{(490) (486) (250)}{(625) (84) (108)}$
23962	Evaluate	((3^-1)/(3^6))^-5	${(\frac{3^{- 1}}{3^{6}})}^{- 5}$
23963	Solve the System of Inequalities	4x-3>9 or -8x>=16	$4 x - 3 > 9$ or $- 8 x \geq 16$
23964	Solve by Substitution	2x+y=5 y+3=2x	$2 x + y = 5$ $y + 3 = 2 x$
23965	Solve by Factoring	10x^2+50=210	$10 x^{2} + 50 = 210$
23966	Find the Exact Value	cot((3pi)/2)-sin((3pi)/2)	$\cot (\frac{3 π}{2}) - \sin (\frac{3 π}{2})$
23967	Describe the Transformation	y = cube root of 1/3x	$y = \sqrt[3]{\frac{1}{3} x}$
23968	Simplify	((d^2-e^2)/(de))/((d-e)/e)	$\frac{\frac{d^{2} - e^{2}}{d e}}{\frac{d - e}{e}}$
23969	Solve for x	1/x+2/(x+1)-3/(x-3)=0	$\frac{1}{x} + \frac{2}{x + 1} - \frac{3}{x - 3} = 0$
23970	Evaluate	(6.410^7)/(1.610^5)	$\frac{(6.4 \times 10^{7})}{(1.6 \times 10^{5})}$
23971	Divide	((3x+12)/(12x))÷((x+4)/(48x^3))	$\frac{3 x + 12}{12 x} \div \frac{x + 4}{48 x^{3}}$
23972	Write in Slope-Intercept Form	y+4=-4/3x	$y + 4 = - \frac{4}{3} x$
23973	Multiply	1/33/55/77/99/11	$\frac{1}{3} \cdot \frac{3}{5} \cdot \frac{5}{7} \cdot \frac{7}{9} \cdot \frac{9}{11}$
23974	Simplify	square root of 5x* square root of 15	$\sqrt{5 x} \cdot \sqrt{15}$
23975	Solve the Inequality for x	1/4-x<2x+1	$\frac{1}{4} - x < 2 x + 1$
23976	Solve by Factoring	x^2*4x+4=0	$x^{2} \cdot 4 x + 4 = 0$
23977	Solve for x	8(2x+3x+2)=-4x+148	$8 (2 x + 3 x + 2) = - 4 x + 148$
23978	Solve for x	17889.993=12000(1+0.04/12)^(12x)	$17889.99 \cdot 3 = 12000 {(1 + \frac{0.04}{12})}^{12 \cdot x}$
23979	Graph	table[[x,y],[1,1],[2,4],[3,9]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \end{array}$
23980	Evaluate the Limit	limit as x approaches 1 of 2^((x-7)/3)	$lim_{x \to 1} 2^{\frac{x - 7}{3}}$
23981	Simplify	(m^2m^-4)^2*m^12	${(m^{2} m^{- 4})}^{2} \cdot m^{12}$
23982	Simplify	( square root of 5)/( square root of 40)	$\frac{\sqrt{5}}{\sqrt{40}}$
23983	Evaluate the Function	f(-4)=x^3+x^2-3x+9	$f (- 4) = x^{3} + x^{2} - 3 x + 9$
23984	Simplify	1/(1- cube root of 2)	$\frac{1}{1 - \sqrt[3]{2}}$
23985	Simplify	square root of 4(9+16)	$\sqrt{4 (9 + 16)}$
23986	Find the Integral	1/(tan(x))	$\frac{1}{\tan (x)}$
23987	Simplify	2*10^4-7^3	$2 \cdot 10^{4} - 7^{3}$
23988	Find the x and y Intercepts	f(x)=x(x^2-6)	$f (x) = x (x^{2} - 6)$
23989	Solve for x	x+7-4(x+1)=-10	$x + 7 - 4 (x + 1) = - 10$
23990	Subtract	7/(x^2+2x-35)-(5x)/(x+7)	$\frac{7}{x^{2} + 2 x - 35} - \frac{5 x}{x + 7}$
23991	Find the LCD	6/(5x) and 1/(2x+9)	$\frac{6}{5 x}$ and $\frac{1}{2 x + 9}$
23992	Evaluate the Limit	limit as x approaches 1 of (4(x^2-1))/(x-1)	$lim_{x \to 1} \frac{4 (x^{2} - 1)}{x - 1}$
23993	Evaluate	5cos(1/2)^2+ natural log of 1+1-3	$5 \cos^{2} (\frac{1}{2}) + \ln (1 + 1) - 3$
23994	Combine Like Terms	7y^3-3y+5y^3-2y+7	$7 y^{3} - 3 y + 5 y^{3} - 2 y + 7$
23995	Evaluate	(x-4)(2x+3)	$(x - 4) (2 x + 3)$
23996	Solve for x	log base square root of 3 of x-8=0	$\log_{\sqrt{3}} (x) - 8 = 0$
23997	Simplify	2^-3*4^-9	$2^{- 3} \cdot 4^{- 9}$
23998	Simplify	(16/(m-3)-4/(m-4))/(16/(m^2)-(m-4)/(m-3))	$\frac{\frac{16}{m - 3} - \frac{4}{m - 4}}{\frac{16}{m^{2}} - \frac{m - 4}{m - 3}}$
23999	Solve the Inequality for x	2(x-3)-5x<x-2	$2 (x - 3) - 5 x < x - 2$
24000	Solve for x	fifth root of x^4-3 fifth root of x^2=4	$\sqrt[5]{x^{4}} - 3 \sqrt[5]{x^{2}} = 4$