Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29701	Solve for x	x+4=3x+0	$x + 4 = 3 x + 0$
29702	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3x	$f (x) = 3 x$
29703	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-7) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(6, - 7)$ and has a slope of $- \frac{3}{2}$ ?
29704	Evaluate	6x^0y^8-(2y^2)^4	$6 x^{0} y^{8} - {(2 y^{2})}^{4}$
29705	Simplify	(8+i)-(i)-(7i)	$(8 + i) - (i) - (7 i)$
29706	Find the x and y Intercepts	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
29707	Factor by Grouping	16xy^2+28xy+8y	$16 x y^{2} + 28 x y + 8 y$
29708	Simplify	((a^3)/(3b^-2))^-3	${(\frac{a^{3}}{3 b^{- 2}})}^{- 3}$
29709	Solve for n	2/3(n+6)=10	$\frac{2}{3} (n + 6) = 10$
29710	Simplify	cube root of 3/(4x)	$\sqrt[3]{\frac{3}{4 x}}$
29711	Solve the Inequality for n	2(n+3)-4<=5n-1	$2 (n + 3) - 4 \leq 5 n - 1$
29712	Graph	f(x)=6+0.5x if 0<=x<=10; -9+2x if x>10	$f (x) = {\begin{cases} 6 + 0.5 x & 0 \leq x \leq 10 \\ - 9 + 2 x & x > 10 \end{cases}$
29713	Evaluate Using L'Hospital's Rule	limit as r approaches 0 from the right of -11(r/3) natural log of r/3	$lim_{r \to 0^{+}} - 11 (\frac{r}{3}) \ln (\frac{r}{3})$
29714	Solve for x	2/5+2/x=1	$\frac{2}{5} + \frac{2}{x} = 1$
29715	Find the Antiderivative	tan(2x)^2	$\tan^{2} (2 x)$
29716	Find the LCD	7/(3x) and 3/(7x+2)	$\frac{7}{3 x}$ and $\frac{3}{7 x + 2}$
29717	Evaluate	2x+y>5	$2 x + y > 5$
29718	Find the Derivative - d/dy	x/(2y)	$\frac{x}{2 y}$
29719	Solve for x	12.7/2.76 = square root of x/32.0	$\frac{12.7}{2.76} = \sqrt{\frac{x}{32}}$
29720	Simplify	-e^-1	$- e^{- 1}$
29721	Graph	y<=3-x y>=3 x>=-5	$y \leq 3 - x$ $y \geq 3$ $x \geq - 5$
29722	Graph	3x+y>1 y<=x+2	$3 x + y > 1$ $y \leq x + 2$
29723	Solve for x	3^x+3^(x+1)=36	$3^{x} + 3^{x + 1} = 36$
29724	Describe the Transformation	y=2 square root of x-3-1	$y = 2 \sqrt{x - 3} - 1$
29725	Solve by Substitution	y=-4 y=x-8	$y = - 4$ $y = x - 8$
29726	Solve for w	(1/81)^(2w)*27=81^(1/2)	${(\frac{1}{81})}^{2 w} \cdot 27 = 81^{\frac{1}{2}}$
29727	Divide	(7x^3+4x^2+2x)/(x^2)	$\frac{7 x^{3} + 4 x^{2} + 2 x}{x^{2}}$
29728	Solve for k	k^2+7k-5=4	$k^{2} + 7 k - 5 = 4$
29729	Find the Product	3x^2(2y+5x)	$3 x^{2} (2 y + 5 x)$
29730	Simplify	(((x^2-3x-10)/(x+3))/(2x^2-7x-15))/(x^2-9)	$\frac{\frac{\frac{x^{2} - 3 x - 10}{x + 3}}{2 x^{2} - 7 x - 15}}{x^{2} - 9}$
29731	Find the Asymptotes	f(x)=(ax^2+bx+c)/(dx^2+ex+f)	$f (x) = \frac{a x^{2} + b x + c}{d x^{2} + e x + f}$
29732	Find the Sine Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
29733	Solve for x	1/15(2x+5)=(x+2)/9	$\frac{1}{15} (2 x + 5) = \frac{x + 2}{9}$
29734	Solve for x	1/2(x+4/5)=7/5	$\frac{1}{2} (x + \frac{4}{5}) = \frac{7}{5}$
29735	Solve the System of Equations	x+y+z=-5 -x+6y-4z=-8 -x+4y+2z=6	$x + y + z = - 5$ $- x + 6 y - 4 z = - 8$ $- x + 4 y + 2 z = 6$
29736	Simplify	12y-8+4y+y	$12 y - 8 + 4 y + y$
29737	Graph	2x+y>=2 2x+y<4	$2 x + y \geq 2$ $2 x + y < 4$
29738	Solve the Absolute Value Inequality for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
29739	Simplify	((p^12g^(3/2))/64)^(5/6)	${(\frac{p^{12} g^{\frac{3}{2}}}{64})}^{\frac{5}{6}}$
29740	Solve by Graphing	x=16-4y 3x+4y=8	$x = 16 - 4 y$ $3 x + 4 y = 8$
29741	Simplify the Radical Expression	(1/(m^-7*m^4))^(5/6)	${(\frac{1}{m^{- 7} \cdot m^{4}})}^{\frac{5}{6}}$
29742	Find the Maximum/Minimum Value	y=x+1/(4x)	$y = x + \frac{1}{4 x}$
29743	Find the Exact Value	sin(3)cos(1.2)-cos(3)sin(1.2)	$\sin (3) \cos (1.2) - \cos (3) \sin (1.2)$
29744	Solve for t	5-11t=7(5-2t)	$5 - 11 t = 7 (5 - 2 t)$
29745	Write Using Positive Exponents	((-5)^8)/((-5)^-74^04^-6)	$\frac{{(- 5)}^{8}}{{(- 5)}^{- 7} \cdot 4^{0} \cdot 4^{- 6}}$
29746	Solve for x	q=(x^3)/3+y	$q = \frac{x^{3}}{3} + y$
29747	Solve for x	2 1/3-1/2x=-2/3	$2 \frac{1}{3} - \frac{1}{2} x = - \frac{2}{3}$
29748	Subtract	(9x)/8-3/7	$\frac{9 x}{8} - \frac{3}{7}$
29749	Evaluate	infinity^-2	$\infty^{- 2}$
29750	Simplify the Radical Expression	(32x^-35y^-25)^(-4/5)	${(32 x^{- 35} y^{- 25})}^{- \frac{4}{5}}$
29751	Solve for a	square root of 5^2+12^2 = cube root of 64a^3	$\sqrt{5^{2} + 12^{2}} = \sqrt[3]{64 a^{3}}$
29752	Solve the System of Inequalities	x<4 and x>-2	$x < 4$ and $x > - 2$
29753	Solve for x	3x^2-6+4x^2=15	$3 x^{2} - 6 + 4 x^{2} = 15$
29754	Solve the System of Equations	y=2x^2+x-108 3x+y=18	$y = 2 x^{2} + x - 108$ $3 x + y = 18$
29755	Solve the Inequality for x	-2+1/2x>3x-9(-1/2x-1)	$- 2 + \frac{1}{2} x > 3 x - 9 (- \frac{1}{2} x - 1)$
29756	Find the Exact Value	3+27^2-46	$3 + 2 \cdot 7^{2} - 4 \cdot 6$
29757	Find the Derivative - d/dX	arctan(4X)	$\arctan (4 X)$
29758	Find the Derivative - d/dx	y=e^(7x^2+x)	$y = e^{7 x^{2} + x}$
29759	Write in Standard Form	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
29760	Divide	( cube root of 108)÷( cube root of 2)	$\sqrt[3]{108} \div \sqrt[3]{2}$
29761	Simplify	2x^(2/3)*x^3	$2 x^{\frac{2}{3}} \cdot x^{3}$
29762	Simplify	2x(5x+3)-6x^2+3	$2 x (5 x + 3) - 6 x^{2} + 3$
29763	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,2) and has a slope of -2/3 ?	What is the equation of the line that passes through the point $(- 3, 2)$ and has a slope of $- \frac{2}{3}$ ?
29764	Find the LCM	6 and 4	$6$ and $4$
29765	Solve the Inequality for x	(x-1)/(x^2-9)>=0	$\frac{x - 1}{x^{2} - 9} \geq 0$
29766	Evaluate the Limit	limit as x approaches negative infinity of (4x^5+1)/(x+x^3)	$lim_{x \to - \infty} \frac{4 x^{5} + 1}{x + x^{3}}$
29767	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (3 natural log of 3x-2)/(5x-5)	$lim_{x \to 1} \frac{3 \ln (3 x - 2)}{5 x - 5}$
29768	Simplify	square root of 5x^2* square root of 8x^3	$\sqrt{5 x^{2}} \cdot \sqrt{8 x^{3}}$
29769	Solve for x	tan(x)sin(x)^2=3tan(x)	$\tan (x) \sin^{2} (x) = 3 \tan (x)$
29770	Subtract	3/(x-1)-3/(x+3)	$\frac{3}{x - 1} - \frac{3}{x + 3}$
29771	Graph Using a Table of Values	y = cube root of x+3	$y = \sqrt[3]{x + 3}$
29772	Solve for x	log base 5 of x-1+ log base 5 of x+3-1=0	$\log_{5} (x - 1) + \log_{5} (x + 3) - 1 = 0$
29773	Solve the Function Operation	f(x)=2x-1 , g(x)=3x find f(g(-3))	$f (x) = 2 x - 1$ , $g (x) = 3 x$ find $f (g (- 3))$
29774	Evaluate	3-(8*-1)÷3+(-9)^3	$3 - 8 \cdot - 1 \div 3 + {(- 9)}^{3}$
29775	Find the Domain	natural log of x^2-x+2 = natural log of 4	$\ln (x^{2} - x + 2) = \ln (4)$
29776	Find All Complex Solutions	fifth root of x+7=-2	$\sqrt[5]{x + 7} = - 2$
29777	Evaluate	fifth root of x+7=-2	$\sqrt[5]{x + 7} = - 2$
29778	Solve the Function Operation	f(x)=5x^3+5 ; find f^-1(x)	$f (x) = 5 x^{3} + 5$ ; find $f^{- 1} (x)$
29779	Determine the Possible Number of Real Roots	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
29780	Write the Fraction in Simplest Form	(20t^-6a^-3)/((4t^-3a^2)^-2)	$\frac{20 t^{- 6} a^{- 3}}{{(4 t^{- 3} a^{2})}^{- 2}}$
29781	Solve the Inequality for k	-5<-5k-15<20	$- 5 < - 5 k - 15 < 20$
29782	Simplify	Simplify - square root of 81x^12	Simplify $- \sqrt{81 x^{12}}$
29783	Solve the System of Inequalities	x/4>=-1 and -4x-4<=-3	$\frac{x}{4} \geq - 1$ and $- 4 x - 4 \leq - 3$
29784	Simplify the Radical Expression	fourth root of k^5*k	$\sqrt[4]{k^{5} \cdot k}$
29785	Evaluate	(x*x^-2)/x	$\frac{x \cdot x^{- 2}}{x}$
29786	Describe the Transformation	f(x)=(1/2)^x+5 , g(x)=(1/2)^x	$f (x) = {(\frac{1}{2})}^{x} + 5$ , $g (x) = {(\frac{1}{2})}^{x}$
29787	Solve for x	natural log of x^2-x+2 = natural log of 4	$\ln (x^{2} - x + 2) = \ln (4)$
29788	Graph	y=-(x^2-1)(2x^2-3)	$y = - (x^{2} - 1) (2 x^{2} - 3)$
29789	Simplify the Radical Expression	9 square root of 200x^3+x square root of 2x	$9 \sqrt{200 x^{3}} + x \sqrt{2 x}$
29790	Simplify	(10x^3)/(8y^3)(16x)/(15y^2)(15y^4)/(x^3)	$\frac{10 x^{3}}{8 y^{3}} \cdot \frac{16 x}{15 y^{2}} \cdot \frac{15 y^{4}}{x^{3}}$
29791	Divide	(6 square root of 18)/(12 square root of 40)	$\frac{6 \sqrt{18}}{12 \sqrt{40}}$
29792	Solve the System of Equations	2x+2y=-8 and 3x+3y=-12	$2 x + 2 y = - 8$ and $3 x + 3 y = - 12$
29793	Simplify the Radical Expression	square root of 2( square root of 5-6 square root of 12)+ square root of 40	$\sqrt{2} (\sqrt{5} - 6 \sqrt{12}) + \sqrt{40}$
29794	Find the Exact Value	arccos(sec(pi))	$\arccos (\sec (π))$
29795	Evaluate	-1+ natural log of e^4	$- 1 + \ln (e^{4})$
29796	Solve the Rational Equation for x	(x+4)/(x-1)=(-x^2+3x+12)/((x+3)(x-1))	$\frac{x + 4}{x - 1} = \frac{- x^{2} + 3 x + 12}{(x + 3) (x - 1)}$
29797	Simplify the Radical Expression	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
29798	Graph	y=(1+x)^(1/x)	$y = {(1 + x)}^{\frac{1}{x}}$
29799	Simplify the Radical Expression	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
29800	Solve for k	natural log of 2+ natural log of k-4=1/3	$\ln (2) + \ln (k - 4) = \frac{1}{3}$