Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42001	Write in Standard Form	2x(x-7)=3x(x-8)+1	$2 x (x - 7) = 3 x (x - 8) + 1$
42002	Add	(4 7/8x^2-6 3/5x)+(4 4/5x-2 3/8x^2)	$(4 \frac{7}{8} x^{2} - 6 \frac{3}{5} x) + (4 \frac{4}{5} x - 2 \frac{3}{8} x^{2})$
42003	Solve for v	4v^2-15v+16=6	$4 v^{2} - 15 v + 16 = 6$
42004	Find the Derivative - d/dx	d/(dx)e^(-x^2)	$\frac{d}{d x} e^{- x^{2}}$
42005	Find the Domain and Range	f(x)=2^(3(x+1))-4	$f (x) = 2^{3 (x + 1)} - 4$
42006	Simplify	square root of (2- square root of 3)/4	$\sqrt{\frac{2 - \sqrt{3}}{4}}$
42007	Graph	f(x)=3^x , g(x)=3^(-x)	$f (x) = 3^{x}$ , $g (x) = 3^{- x}$
42008	Solve for x	log base 3 of 3x+3- log base 3 of x-1=2	$\log_{3} (3 x + 3) - \log_{3} (x - 1) = 2$
42009	Add	-1 2/5+5	$- 1 \frac{2}{5} + 5$
42010	Convert to a Decimal	-5rad	$- 5$ radians
42011	Multiply	(3.410^5)(1.210^-3)	$(3.4 \times 10^{5}) (1.2 \times 10^{- 3})$
42012	Verify the Identity	(x+1)^2=x^2+2x+1	${(x + 1)}^{2} = x^{2} + 2 x + 1$
42013	Find the Degree	(x^4)/8-4x^2 square root of 2	$\frac{x^{4}}{8} - 4 x^{2} \sqrt{2}$
42014	Find the Integral	1-x	$1 - x$
42015	Find the Excluded Values	((x^2-13x+40)/(x^2-2x-15))÷(x^2-5x-24)	$\frac{x^{2} - 13 x + 40}{x^{2} - 2 x - 15} \div (x^{2} - 5 x - 24)$
42016	Subtract	(x^2+x)-(2x^2-3x)	$(x^{2} + x) - (2 x^{2} - 3 x)$
42017	Solve the Rational Equation for x	x/(x+3)=3/((x+2)(x+3))	$\frac{x}{x + 3} = \frac{3}{(x + 2) (x + 3)}$
42018	Simplify	x/(x+3)-(6x)/(x^2-9)	$\frac{x}{x + 3} - \frac{6 x}{x^{2} - 9}$
42019	Solve the Inequality for k	16-k>7	$16 - k > 7$
42020	Graph	-1x	$- 1 x$
42021	Simplify	(p^3q^(1/2)r^(1/5))^(2/11)	${(p^{3} q^{\frac{1}{2}} r^{\frac{1}{5}})}^{\frac{2}{11}}$
42022	Find the Domain and Range	y = log base 3 of 2x+8	$y = \log_{3} (2 x + 8)$
42023	Solve the System of Inequalities	2y+x<5 and 3x-y>8	$2 y + x < 5$ and $3 x - y > 8$
42024	Find the Antiderivative	f(x)=x-9x^2+4	$f (x) = x - 9 x^{2} + 4$
42025	Simplify the Radical Expression	m cube root of 192m^5	$m \sqrt[3]{192 m^{5}}$
42026	Evaluate	(7*4)-(2+8)	$(7 \times 4) - (2 + 8)$
42027	Evaluate	(4 7/8x^2-6 3/5x)+(4 4/5x-2 3/8x^2)	$(4 \frac{7}{8} x^{2} - 6 \frac{3}{5} x) + (4 \frac{4}{5} x - 2 \frac{3}{8} x^{2})$
42028	Evaluate	1*pi	$1 \cdot π$
42029	Solve for a	26=a^3+8	$26 = a^{3} + 8$
42030	Simplify	((a^2b^(1/3))/(a^3b))^(1/2)	${(\frac{a^{2} b^{\frac{1}{3}}}{a^{3} b})}^{\frac{1}{2}}$
42031	Solve for x	x-y-11=A	$x - y - 11 = A$
42032	Convert to a Decimal	39deg	$39$ degrees
42033	Simplify	((x+1)/(x+4)-1/x)/(x+1)	$\frac{\frac{x + 1}{x + 4} - \frac{1}{x}}{x + 1}$
42034	Solve for x	x^6-2x^4-4x^2+8=0	$x^{6} - 2 x^{4} - 4 x^{2} + 8 = 0$
42035	Solve for R	E=IR for R	$E = I R$ for $R$
42036	Simplify	-5a^-2bc^-3	$- 5 a^{- 2} b c^{- 3}$
42037	Solve the Inequality for w	(-w+6)/2<5	$\frac{- w + 6}{2} < 5$
42038	Find the LCM	4 and 16	$4$ and $16$
42039	Solve the System of Equations	3x-2y-z=4 , x-y-2z=0 , 4x+3y+z=2	$3 x - 2 y - z = 4$ , $x - y - 2 z = 0$ , $4 x + 3 y + z = 2$
42040	Find the Derivative - d/dx	sin(x^3-2x)	$\sin (x^{3} - 2 x)$
42041	Graph	f(x)=2x-1,x<=1; -x+2,2<=x<=5	$f (x) = {\begin{cases} 2 x - 1, x \leq 1 \\ - x + 2, 2 \leq x \leq 5 \end{cases}$
42042	Solve for x	7- cube root of x=3	$7 - \sqrt[3]{x} = 3$
42043	Solve for x	\|x-1/2\|=2	$\| x - \frac{1}{2} \| = 2$
42044	Simplify	2.5(-10+3 3/4x-6.2)	$2.5 (- 10 + 3 \frac{3}{4} x - 6.2)$
42045	Simplify	(-2+2i)(-5i)^3	$(- 2 + 2 i) {(- 5 i)}^{3}$
42046	Evaluate the Integral	integral of (x^4-3x^(5/2)+ square root of x+2) with respect to x	$\int (x^{4} - 3 x^{\frac{5}{2}} + \sqrt{x} + 2) d x$
42047	Rationalize the Numerator	( square root of a+ square root of b)/(a^2-b^2)	$\frac{\sqrt{a} + \sqrt{b}}{a^{2} - b^{2}}$
42048	Find the Derivative - d/dx	x natural log of x^2+4x	$x \ln (x^{2} + 4 x)$
42049	Find the Roots (Zeros)	0=x^4+3x^2-4	$0 = x^{4} + 3 x^{2} - 4$
42050	Evaluate	30-(18-8)/-2+(-5)	$30 - \frac{18 - 8}{- 2} + (- 5)$
42051	Evaluate Using the Given Value	9-8/S when S=4	$9 - \frac{8}{S}$ when $S = 4$
42052	Graph	y<x-2 y<3	$y < x - 2$ $y < 3$
42053	Solve for x	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
42054	Simplify	(3+i)+(3+7i)-(-5+4i)	$(3 + i) + (3 + 7 i) - (- 5 + 4 i)$
42055	Find the Center and Radius	x^2+Y^2+2X-4Y=0	$x^{2} + Y^{2} + 2 X - 4 Y = 0$
42056	Evaluate	2 square root of x-8<24	$2 \sqrt{x - 8} < 24$
42057	Solve for x	6+ log base 2 of x=6	$6 + \log_{2} (x) = 6$
42058	Evaluate	(-( square root of 2)/2)	$(- \frac{\sqrt{2}}{2})$
42059	Subtract	1/2-2/1	$\frac{1}{2} - \frac{2}{1}$
42060	Subtract	3 1/4-1/2	$3 \frac{1}{4} - \frac{1}{2}$
42061	Evaluate	(x^8y^6y^4)/(x^-1)	$\frac{x^{8} y^{6} y^{4}}{x^{- 1}}$
42062	Simplify	square root of x^3+x square root of x	$\sqrt{x^{3}} + x \sqrt{x}$
42063	Simplify	1^2-1	$1^{2} - 1$
42064	Evaluate the Integral	integral of (tan(11 square root of x))/( square root of x) with respect to x	$\int \frac{\tan (11 \sqrt{x})}{\sqrt{x}} d x$
42065	Find the Average Rate of Change	table[[x,y],[0,2],[1,6],[2,18],[3,54]]	$\begin{array}{c} x & y \\ 0 & 2 \\ 1 & 6 \\ 2 & 18 \\ 3 & 54 \end{array}$
42066	Simplify	(2x^4-3x^2)-(x^4+2x^3)+(-x^4+x^3-5x)	$(2 x^{4} - 3 x^{2}) - (x^{4} + 2 x^{3}) + (- x^{4} + x^{3} - 5 x)$
42067	Simplify the Radical Expression	(6 fourth root of 336)/(2 fourth root of 7)	$\frac{6 \sqrt[4]{336}}{2 \sqrt[4]{7}}$
42068	Evaluate	e^(sin(0))	$e^{\sin (0)}$
42069	Solve the Inequality for w	w-4<8	$w - 4 < 8$
42070	Find the Derivative of the Integral	integral from 0 to natural log of x of 1/( square root of 4+e^t) with respect to t	$\int_{0}^{\ln (x)} \frac{1}{\sqrt{4 + e^{t}}} d t$
42071	Solve the System of Equations	7s+4m+2i=24 5s+3m+6i=30 3s+7m+10i=46	$7 s + 4 m + 2 i = 24$ $5 s + 3 m + 6 i = 30$ $3 s + 7 m + 10 i = 46$
42072	Simplify	Simplify (6/n)^-2	Simplify ${(\frac{6}{n})}^{- 2}$
42073	Simplify	(4x^2+2x)/((x^2+x-2)/((8x^2+4x)/(3x^2+10x+8)))	$\frac{4 x^{2} + 2 x}{\frac{x^{2} + x - 2}{\frac{8 x^{2} + 4 x}{3 x^{2} + 10 x + 8}}}$
42074	Solve for x	3x^2=6-2x	$3 x^{2} = 6 - 2 x$
42075	Solve for y	y=32+y	$y = 32 + y$
42076	Solve for x	2 2/5x+1 1/2x=29	$2 \frac{2}{5} x + 1 \frac{1}{2} x = 29$
42077	Find the Degree, Leading Term, and Leading Coefficient	h(x)=5/3x^2- square root of 7x^4+8x^3-1/2+x	$h (x) = \frac{5}{3} x^{2} - \sqrt{7 x^{4}} + 8 x^{3} - \frac{1}{2} + x$
42078	Simplify	(6a^2b^(3/2))/(12a^(3/2)b^3)	$\frac{6 a^{2} b^{\frac{3}{2}}}{12 a^{\frac{3}{2}} b^{3}}$
42079	Simplify	(6a^3b^2)/(3a^2b-6ab^2)	$\frac{6 a^{3} b^{2}}{3 a^{2} b - 6 a b^{2}}$
42080	Evaluate the Limit	limit as x approaches 0 of (7e^x-7)/x	$lim_{x \to 0} \frac{7 e^{x} - 7}{x}$
42081	Find the Domain and Range	y=(2x)/(x^2-1)	$y = \frac{2 x}{x^{2} - 1}$
42082	Evaluate the Summation	sum from i=1 to 3 of x_i	$\sum_{i = 1}^{3} x_{i}$
42083	Find the Roots (Zeros)	square root of x^2-4=x-2	$\sqrt{x^{2} - 4} = x - 2$
42084	Subtract	5/(a^2+5a)-7/(3a+15)	$\frac{5}{a^{2} + 5 a} - \frac{7}{3 a + 15}$
42085	Multiply	(3x+y)(x+y)	$(3 x + y) (x + y)$
42086	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 4/3 ?	What is the equation of the line that passes through the point $(3, 6)$ and has a slope of $\frac{4}{3}$ ?
42087	Solve the Rational Equation for x	x/(x+3)=8/(x+6)	$\frac{x}{x + 3} = \frac{8}{x + 6}$
42088	Simplify	square root of (8x^3)/(50x)	$\sqrt{\frac{8 x^{3}}{50 x}}$
42089	Evaluate	\|5(1)\|+\|-14(-7)\|-13	$\| 5 (1) \| + \| - 14 (- 7) \| - 13$
42090	Expand the Logarithmic Expression	1/( log base b of 4)	$\frac{1}{\log_{b} (4)}$
42091	Simplify	(7m+3n-11-2m)+(n+5--m-3n+8)	$(7 m + 3 n - 11 - 2 m) + (n + 5 - - m - 3 n + 8)$
42092	Solve the Inequality for n	3<=1/3+n	$3 \leq \frac{1}{3} + n$
42093	Simplify	1/( cube root of 9- cube root of 3)	$\frac{1}{\sqrt[3]{9} - \sqrt[3]{3}}$
42094	Find the First Term	a_n=-4n(n-1)	$a_{n} = - 4 n (n - 1)$
42095	Solve by Substitution	x=3-3y x+3y=-6	$x = 3 - 3 y$ $x + 3 y = - 6$
42096	Solve for x	-4x=-6(8+x)	$- 4 x = - 6 (8 + x)$
42097	Evaluate	square root of v-5 = square root of 23-v	$\sqrt{v - 5} = \sqrt{23 - v}$
42098	Graph	f(x)=2cot(x-pi/4)	$f (x) = 2 \cot (x - \frac{π}{4})$
42099	Find the Domain and Range	- square root of -x	$- \sqrt{- x}$
42100	Simplify	square root of (26x^3y)/(47z^5r^3)	$\sqrt{\frac{26 x^{3} y}{47 z^{5} r^{3}}}$