Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42701	Write with Rational (Fractional) Exponents	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
42702	Find the Roots (Zeros)	3(x-1)^2-162=0	$3 {(x - 1)}^{2} - 162 = 0$
42703	Solve using Gaussian Elimination	x+3y+6z=19 2x-3y+3z=2	$x + 3 y + 6 z = 19$ $2 x - 3 y + 3 z = 2$
42704	Solve for x	e^(x-2)=e^(3x+1)	$e^{x - 2} = e^{3 x + 1}$
42705	Solve for x	( square root of 4x+19)/2=2	$\frac{\sqrt{4 x + 19}}{2} = 2$
42706	Simplify	(x/2+y/3)^2	${(\frac{x}{2} + \frac{y}{3})}^{2}$
42707	Evaluate	23^2-7^1+33^0	$2 \cdot 3^{2} - 7^{1} + 3 \cdot 3^{0}$
42708	Evaluate	(1-1/2)(1-1/3)(1-1/4)*(1-1/5)	$(1 - \frac{1}{2}) \cdot (1 - \frac{1}{3}) \cdot (1 - \frac{1}{4}) \cdot (1 - \frac{1}{5})$
42709	Simplify the Radical Expression	square root of 7^3	$\sqrt{7^{3}}$
42710	Find the Points of Intersection	8x+4y=12 y=-2x+3	$8 x + 4 y = 12$ $y = - 2 x + 3$
42711	Solve Using the Quadratic Formula	1/2x^2-1/4=3/16x	$\frac{1}{2} x^{2} - \frac{1}{4} = \frac{3}{16} x$
42712	Identify the Sequence	5 , 15 , 45 ; dots	$5$ , $15$ , $45$ ; dots
42713	Solve for x	(3x)/7-1=6+x/2	$\frac{3 x}{7} - 1 = 6 + \frac{x}{2}$
42714	Simplify	(x^-2y^3)/(x^3z^-1)	$\frac{x^{- 2} y^{3}}{x^{3} z^{- 1}}$
42715	Solve for t	V=(2pir)/t	$V = \frac{2 π r}{t}$
42716	Evaluate	(x^6)/(x^-1*x^7)	$\frac{x^{6}}{x^{- 1} \cdot x^{7}}$
42717	Evaluate	-3x+9-2x=-12-5x	$- 3 x + 9 - 2 x = - 12 - 5 x$
42718	Find the Product	(xy^-6)^2	${(x y^{- 6})}^{2}$
42719	Factor	x^2+18=9x	$x^{2} + 18 = 9 x$
42720	Simplify	(3-x)/(1/x)	$\frac{3 - x}{\frac{1}{x}}$
42721	Solve for x	3x(x-2)-(x-6)=23(x-3)	$3 x (x - 2) - (x - 6) = 23 (x - 3)$
42722	Find the Roots (Zeros)	-3x(x+4)(3x+2)(x+9)^2	$- 3 x (x + 4) (3 x + 2) {(x + 9)}^{2}$
42723	Solve for x	24=4(6b-2x)	$24 = 4 (6 b - 2 x)$
42724	Evaluate	(4xy^2)^-3	${(4 x y^{2})}^{- 3}$
42725	Evaluate the Integral	integral from 1 to e of ( natural log of x)/(11x^2) with respect to x	$\int_{1}^{e} \frac{\ln (x)}{11 x^{2}} d x$
42726	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+7x^2+7x+3 is divided by 4x+3	Use the long division method to find the result when $4 x^{3} + 7 x^{2} + 7 x + 3$ is divided by $4 x + 3$
42727	Evaluate	5/(2y)+1/(6y)-4/(3y)	$\frac{5}{2 y} + \frac{1}{6 y} - \frac{4}{3 y}$
42728	Solve for x	Solve x^2=75	Solve $x^{2} = 75$
42729	Evaluate Using the Given Value	Evaluate x+5 if x=2	Evaluate $x + 5$ if $x = 2$
42730	Evaluate	csc(arctan(-5/12))	$\csc (\arctan (- \frac{5}{12}))$
42731	Simplify	(x-1)/(x^2-4)+2/(x-2)	$\frac{x - 1}{x^{2} - 4} + \frac{2}{x - 2}$
42732	Graph	Graph the line x=3	Graph the line $x = 3$
42733	Simplify the Radical Expression	cube root of -12* cube root of -18	$\sqrt[3]{- 12} \cdot \sqrt[3]{- 18}$
42734	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+16x^2+7x-20 is divided by 2x+5	Use the long division method to find the result when $4 x^{3} + 16 x^{2} + 7 x - 20$ is divided by $2 x + 5$
42735	Divide	3 3/41/8	$3 \frac{3}{4} \frac{1}{8}$
42736	Solve the System of Equations	3x+4y=-12 y=-3/2x	$3 x + 4 y = - 12$ $y = - \frac{3}{2} x$
42737	Add	1 1/2+1/6	$1 \frac{1}{2} + \frac{1}{6}$
42738	Find the Antiderivative	(e^(-x))/(1+e^(-x))	$\frac{e^{- x}}{1 + e^{- x}}$
42739	Graph	f(x)=10.5x if 0<=x<=2; 21+4(x-2) if x>2	$f (x) = {\begin{cases} 10.5 x & 0 \leq x \leq 2 \\ 21 + 4 (x - 2) & x > 2 \end{cases}$
42740	Solve the Rational Equation for x	fourth root of 3-8x^2=2x	$\sqrt[4]{3 - 8 x^{2}} = 2 x$
42741	Solve for w	19w-4w+23=8w-19	$19 w - 4 w + 23 = 8 w - 19$
42742	Evaluate the Limit	limit as x approaches 0 of (7-7cos(x))/x	$lim_{x \to 0} \frac{7 - 7 \cos (x)}{x}$
42743	Subtract	(y^2)/(y^2+2y)-4/(y^2+2y)	$\frac{y^{2}}{y^{2} + 2 y} - \frac{4}{y^{2} + 2 y}$
42744	Simplify	1/((5x)^(-3/4))	$\frac{1}{{(5 x)}^{- \frac{3}{4}}}$
42745	Describe the Transformation	f(x)=-2^x , g(x)=5-2^x	$f (x) = - 2^{x}$ , $g (x) = 5 - 2^{x}$
42746	Solve the Inequality for x	sin(x)<1/2	$\sin (x) < \frac{1}{2}$
42747	Find the Degree, Leading Term, and Leading Coefficient	f(x)=1/2x^2+8-5x^3-19x	$f (x) = \frac{1}{2} x^{2} + 8 - 5 x^{3} - 19 x$
42748	Solve the System of Equations	x-2y=6 and 3x-6y=18	$x - 2 y = 6$ and $3 x - 6 y = 18$
42749	Write in Standard Form	(3x^2+2x-3)(x^2-x-1)	$(3 x^{2} + 2 x - 3) (x^{2} - x - 1)$
42750	Graph	3x+4y=-12 y=-3/2x	$3 x + 4 y = - 12$ $y = - \frac{3}{2} x$
42751	Multiply	square root of x-1* square root of x-1	$\sqrt{x - 1} \cdot \sqrt{x - 1}$
42752	Simplify	(2 square root of -3)/( square root of 2)	$\frac{2 \sqrt{- 3}}{\sqrt{2}}$
42753	Add	-14+21-182+210	$- 14 + 21 - 182 + 210$
42754	Solve by Addition/Elimination	2/3x+3/4y=7/12 1/2x-2y=3	$\frac{2}{3} x + \frac{3}{4} y = \frac{7}{12}$ $\frac{1}{2} x - 2 y = 3$
42755	Solve for m	\|4m-4\|<36	$\| 4 m - 4 \| < 36$
42756	Graph	55>=5x+5>-25	$55 \geq 5 x + 5 > - 25$
42757	Find the Inverse	f(x)=8((x^(1/3))/9+4)	$f (x) = 8 (\frac{x^{\frac{1}{3}}}{9} + 4)$
42758	Evaluate the Integral	integral from 0 to 2 of (x^2-2)/(x+1) with respect to x	$\int_{0}^{2} \frac{x^{2} - 2}{x + 1} d x$
42759	Solve the System of Equations	x-2y=2 y=-1/2x+5	$x - 2 y = 2$ $y = - \frac{1}{2} x + 5$
42760	Solve for p	e=4s+2p	$e = 4 s + 2 p$
42761	Solve for x	4x+8+27=6x	$4 x + 8 + 27 = 6 x$
42762	Find the Inverse	5^(x+4)=y	$5^{x + 4} = y$
42763	Simplify the Radical Expression	square root of 8+ square root of 2	$\sqrt{8} + \sqrt{2}$
42764	Solve the System of Equations	y=5/2x+9 y=1/2x+1	$y = \frac{5}{2} x + 9$ $y = \frac{1}{2} x + 1$
42765	Describe the Transformation	f(x)=- square root of 3x-5+5	$f (x) = - \sqrt{3 x - 5} + 5$
42766	Write in Exponential Form	fourth root of 3^6	$\sqrt[4]{3^{6}}$
42767	Simplify	(1+cos(2x))^2	${(1 + \cos (2 x))}^{2}$
42768	Simplify	(x^4)^-2(x^9)^(1/3)	${(x^{4})}^{- 2} {(x^{9})}^{\frac{1}{3}}$
42769	Simplify	3/5 square root of -100/9	$\frac{3}{5} \sqrt{- \frac{100}{9}}$
42770	Simplify	(4-2 square root of 3)	$(4 - 2 \sqrt{3})$
42771	Find the Inverse	f^-1(x)=1/(f(x))	$f^{- 1} (x) = \frac{1}{f (x)}$
42772	Add	7 cube root of 3+2 cube root of 192	$7 \sqrt[3]{3} + 2 \sqrt[3]{192}$
42773	Solve for x	log base (x+1) of 8=3	$\log_{(x + 1)} (8) = 3$
42774	Find the Product	f(f^2+2f+25)	$f (f^{2} + 2 f + 25)$
42775	Solve for v	2/5*4^(5v)-8=4	$\frac{2}{5} \cdot 4^{5 v} - 8 = 4$
42776	Simplify	x/(2-x)+(3x+5)/(x^2-4)	$\frac{x}{2 - x} + \frac{3 x + 5}{x^{2} - 4}$
42777	Solve Using the Quadratic Formula	8x^3-1	$8 x^{3} - 1$
42778	Factor	x^(4/3)-10x^(2/3)+9=0	$x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 9 = 0$
42779	Simplify	square root of x^2y^4z^8	$\sqrt{x^{2} y^{4} z^{8}}$
42780	Solve for x	9/(3x-15)=3/12	$\frac{9}{3 x - 15} = \frac{3}{12}$
42781	Evaluate	i^29i^27i^30	$i^{29} \cdot i^{27} \cdot i^{30}$
42782	Simplify	(5x+5)/(x-2)*(x^2-4x+4)/(x^2-1)	$\frac{5 x + 5}{x - 2} \cdot \frac{x^{2} - 4 x + 4}{x^{2} - 1}$
42783	Simplify	(8^2c^-1d^-6)/5	$\frac{8^{2} c^{- 1} d^{- 6}}{5}$
42784	Find the Holes in the Graph	(x-1)/(2x^2-22x+20)	$\frac{x - 1}{2 x^{2} - 22 x + 20}$
42785	Find Where Increasing/Decreasing	y=-4x^3-5x^2	$y = - 4 x^{3} - 5 x^{2}$
42786	Solve the Rational Equation for x	x^(4/3)=16	$x^{\frac{4}{3}} = 16$
42787	Multiply	x^2(10x^2+x)	$x^{2} (10 x^{2} + x)$
42788	Simplify	(x^(5/8))(x^(1/2))	$(x^{\frac{5}{8}}) (x^{\frac{1}{2}})$
42789	Simplify	(x^3+x^2y+xy^2)/((x^2)/y-(y^2)/x)	$\frac{x^{3} + x^{2} y + x y^{2}}{\frac{x^{2}}{y} - \frac{y^{2}}{x}}$
42790	Solve for x	2/(x^2-3x)=1/(x^2-3x)-1/(x-3)	$\frac{2}{x^{2} - 3 x} = \frac{1}{x^{2} - 3 x} - \frac{1}{x - 3}$
42791	Write in Standard Form	(2x^2-9x-9)(2x^2-x+1)	$(2 x^{2} - 9 x - 9) (2 x^{2} - x + 1)$
42792	Find the Degree, Leading Term, and Leading Coefficient	-y^3+3y-3y^2+2	$- y^{3} + 3 y - 3 y^{2} + 2$
42793	Solve by Factoring	3x^3+27x=3x(x^2+9)	$3 x^{3} + 27 x = 3 x (x^{2} + 9)$
42794	Graph	24+6y<=5x	$24 + 6 y \leq 5 x$
42795	Find the Derivative - d/dx	2csc(x)^3	$2 \csc^{3} (x)$
42796	Simplify	cube root of 27* cube root of 6	$\sqrt[3]{27} \cdot \sqrt[3]{6}$
42797	Solve for x	x+yi=(a+bi)^2	$x + y i = {(a + b i)}^{2}$
42798	Solve for b	N=b root of (1+2^b)/(1+2^(-b))	$N = \sqrt[b]{\frac{1 + 2^{b}}{1 + 2^{- b}}}$
42799	Simplify	(-2ab)^3(-a^2b)	${(- 2 a b)}^{3} (- a^{2} b)$
42800	Evaluate the Integral	integral of (x-2)^2+1 with respect to x	$\int {(x - 2)}^{2} + 1 d x$