Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26001	Evaluate	log base 4 of x=1- log base 4 of x-3	$\log_{4} (x) = 1 - \log_{4} (x - 3)$
26002	Evaluate	40+(72÷9)÷8	$40 + (72 \div 9) \div 8$
26003	Subtract	(3b+2c)/(9b^2c)-(2c-5b)/(6bc^2)	$\frac{3 b + 2 c}{9 b^{2} c} - \frac{2 c - 5 b}{6 b c^{2}}$
26004	Find the LCM	10x^2-10x-6 and x+6	$10 x^{2} - 10 x - 6$ and $x + 6$
26005	Simplify	1/x+1/(x^3y^2)	$\frac{1}{x} + \frac{1}{x^{3} y^{2}}$
26006	Evaluate the Integral	integral of (x^2+1)/(x^2-x) with respect to x	$\int \frac{x^{2} + 1}{x^{2} - x} d x$
26007	Simplify	cube root of 64(a+b)^3	$\sqrt[3]{64 {(a + b)}^{3}}$
26008	Solve the System of Equations	56s=70t s=t+1/2	$56 s = 70 t$ $s = t + \frac{1}{2}$
26009	Simplify	1/2x^3-1/2+1/3x^3	$\frac{1}{2} x^{3} - \frac{1}{2} + \frac{1}{3} x^{3}$
26010	Solve for b	-6b^2-1=-169	$- 6 b^{2} - 1 = - 169$
26011	Solve for y	1/y=8x	$\frac{1}{y} = 8 x$
26012	Solve for x	2x^2+x-1/2=0	$2 x^{2} + x - \frac{1}{2} = 0$
26013	Solve for x	square root of x^2+8x=3	$\sqrt{x^{2} + 8 x} = 3$
26014	Combine Like Terms	(-6x+6)*(4x-5y-2)	$(- 6 x + 6) \cdot (4 x - 5 y - 2)$
26015	Find the Second Derivative	f(x)=-1/3x^6-1/3x^3-1/3x^-3+1/2x^-4	$f (x) = - \frac{1}{3} x^{6} - \frac{1}{3} x^{3} - \frac{1}{3} x^{- 3} + \frac{1}{2} x^{- 4}$
26016	Simplify	(4-x square root of 3)^2	${(4 - x \sqrt{3})}^{2}$
26017	Find the Roots (Zeros)	x^2(x-3)	$x^{2} (x - 3)$
26018	Find the Domain and Range	f(x)=x+3 if x<=-5; -1 if -5=6	$f (x) = {\begin{cases} x + 3 & x \leq - 5 \\ - 1 & - 5 = 6 \end{cases}$
26019	Divide	(x^2-1)/x	$\frac{x^{2} - 1}{x}$
26020	Find the Symmetry	y=x^3+x^2-81x-81	$y = x^{3} + x^{2} - 81 x - 81$
26021	Find All Complex Solutions	5x^6=30	$5 x^{6} = 30$
26022	Simplify	-4x^2(6x^2+x)	$- 4 x^{2} (6 x^{2} + x)$
26023	Solve for p	-3(2+4p)=42	$- 3 (2 + 4 p) = 42$
26024	Evaluate	((1.78*10^-1)/0.0534)^4	${(\frac{1.78 \cdot 10^{- 1}}{0.0534})}^{4}$
26025	Simplify	(16x)/(2xy)	$\frac{16 x}{2 x y}$
26026	Evaluate Using the Given Value	((2^2x^2)/(xy^2))^2 for x=3 and y=2	${(\frac{2^{2} x^{2}}{x y^{2}})}^{2}$ for $x = 3$ and $y = 2$
26027	Solve for x	2x- square root of 3=6	$2 x - \sqrt{3} = 6$
26028	Write the Fraction in Simplest Form	((3k^5)^-2)/(5s^-5k^-5)	$\frac{{(3 k^{5})}^{- 2}}{5 s^{- 5} k^{- 5}}$
26029	Simplify	(m^2-9)/(3m^3-3m^2)	$\frac{m^{2} - 9}{3 m^{3} - 3 m^{2}}$
26030	Find dy/dx	-5y^3-5y+y^2=4x^2	$- 5 y^{3} - 5 y + y^{2} = 4 x^{2}$
26031	Simplify	(4x^4+2x^3-7x^2+9)-(7x^3+4x^2-5x-6)	$(4 x^{4} + 2 x^{3} - 7 x^{2} + 9) - (7 x^{3} + 4 x^{2} - 5 x - 6)$
26032	Write in Standard Form	7x^3+8x-3x^2+2	$7 x^{3} + 8 x - 3 x^{2} + 2$
26033	Find the Difference Quotient	x^2	$x^{2}$
26034	Solve for y	(3y)/5=3y-4	$\frac{3 y}{5} = 3 y - 4$
26035	Convert to Trigonometric Form	-1/(1+i)	$- \frac{1}{1 + i}$
26036	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3-12x^2+17x-18 is divided by x-2	Use synthetic division to find the result when $4 x^{3} - 12 x^{2} + 17 x - 18$ is divided by $x - 2$
26037	Find the Geometric Mean	4 and 16	$4$ and $16$
26038	Solve the Function Operation	Given g(x)=4x+4 ; find g(4)	Given $g (x) = 4 x + 4$ ; find $g (4)$
26039	Solve the System of Inequalities	4x-3>5 and 6x+2<-10	$4 x - 3 > 5$ and $6 x + 2 < - 10$
26040	Add	-1/4+-1/2	$\frac{- 1}{4} + \frac{- 1}{2}$
26041	Find the Exact Value	f(2)+f(5)	$f (2) + f (5)$
26042	Divide Using Long Polynomial Division	(3x^5-x)/x	$\frac{3 x^{5} - x}{x}$
26043	Simplify	4^2*4^(1/2)	$4^{2} \cdot 4^{\frac{1}{2}}$
26044	Evaluate	(x^-1)/-1	$\frac{x^{- 1}}{- 1}$
26045	Simplify	2/(5x)+(2x)/3	$\frac{2}{5 x} + \frac{2 x}{3}$
26046	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,0) and has a slope of 5/4 ?	What is the equation of the line that passes through the point $(4, 0)$ and has a slope of $\frac{5}{4}$ ?
26047	Simplify	-1/3x+(-2/3x)	$- \frac{1}{3} x + (- \frac{2}{3} x)$
26048	Write in Standard Form	1/4x-12y=1	$\frac{1}{4} x - 12 y = 1$
26049	Graph	y<=1/2x+1 x+y<3	$y \leq \frac{1}{2} x + 1$ $x + y < 3$
26050	Factor	x^3+3x^2=24x+72	$x^{3} + 3 x^{2} = 24 x + 72$
26051	Find the Derivative - d/dx	80+4/(x+1)	$80 + \frac{4}{x + 1}$
26052	Solve by Graphing	y=-3x+4 y+3x=-4	$y = - 3 x + 4$ $y + 3 x = - 4$
26053	Find dy/dx	y=((5x)/(6-5x^3))^3	$y = {(\frac{5 x}{6 - 5 x^{3}})}^{3}$
26054	Find the Exact Value	(5+5)^2+0.2^2	${(5 + 5)}^{2} + {0.2}^{2}$
26055	Simplify	13x-(9+2(x+4))	$13 x - (9 + 2 (x + 4))$
26056	Find the Product	(2x)(3x)	$(2 x) (3 x)$
26057	Find the Antiderivative	cos(x)*e^(sin(x))	$\cos (x) \cdot e^{\sin (x)}$
26058	Factor	a^5+a^3-a^2-1	$a^{5} + a^{3} - a^{2} - 1$
26059	Divide	(11x^3)/(7x^(7/3))	$\frac{11 x^{3}}{7 x^{\frac{7}{3}}}$
26060	Subtract	3y^2+4y+4-7y^2+3y-6	$3 y^{2} + 4 y + 4 - 7 y^{2} + 3 y - 6$
26061	Find the Antiderivative	(x-1)e^x	$(x - 1) e^{x}$
26062	Rationalize the Denominator	2/(3- square root of x-y)	$\frac{2}{3 - \sqrt{x - y}}$
26063	Find the GCF	From 13xy^2 ; subtract 21xy^2	From $13 x y^{2}$ ; subtract $21 x y^{2}$
26064	Find the x and y Intercepts	f(x)=(x^2-9)/(4x)	$f (x) = \frac{x^{2} - 9}{4 x}$
26065	Solve the Function Operation	f(x)=4 if x!=-1; -2 if x=-1 Find f(-1)	$f (x) = {\begin{cases} 4 & x \neq - 1 \\ - 2 & x = - 1 \end{cases}$ Find $f (- 1)$
26066	Divide	(1/2)/(1/3)	$\frac{\frac{1}{2}}{\frac{1}{3}}$
26067	Convert to Rectangular	square root of 32(cos(pi/4)+isin(pi/4))	$\sqrt{32} (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
26068	Solve for x	-2/(x+1)=-3/x+2	$\frac{- 2}{x + 1} = \frac{- 3}{x} + 2$
26069	Find the Length of a	tri{12}{}{13}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 13 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
26070	Find dy/dx	5^(x+y)=5^x+5^y	$5^{x + y} = 5^{x} + 5^{y}$
26071	Evaluate	1/(16^(3x-4))<=64^(x-1)	$\frac{1}{16^{3 x - 4}} \leq 64^{x - 1}$
26072	Simplify	(x^n)(x^5)^3	$(x^{n}) {(x^{5})}^{3}$
26073	Find the Derivative - d/dx	fourth root of 8x^2	$\sqrt[4]{8 x^{2}}$
26074	Factor	ax-y+x-ay	$a x - y + x - a y$
26075	Solve for x	9^x+4^(x+1/2)=4^(x+3/2)-7*3^(2x-2)	$9^{x} + 4^{x + \frac{1}{2}} = 4^{x + \frac{3}{2}} - 7 \cdot 3^{2 x - 2}$
26076	Find the Roots (Zeros)	3x^2+45=24x	$3 x^{2} + 45 = 24 x$
26077	Solve for m	m+7=2m	$m + 7 = 2 m$
26078	Solve for x	(m^(x-7))/(m^-3)=(m^2)(m^-2)	$\frac{m^{x - 7}}{m^{- 3}} = (m^{2}) (m^{- 2})$
26079	Solve the Rational Equation for x	1/(x^2-5x)=(x+7)/x-1	$\frac{1}{x^{2} - 5 x} = \frac{x + 7}{x} - 1$
26080	Graph	x<=-3 or x>1	$x \leq - 3$ or $x > 1$
26081	Evaluate	f(x+1)=x/(x^2+1)	$f (x + 1) = \frac{x}{x^{2} + 1}$
26082	Solve the Inequality for x	3x-15<0	$3 x - 15 < 0$
26083	Solve for x	3e^(x-3)-1=5	$3 e^{x - 3} - 1 = 5$
26084	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-7) and has a slope of 2 ?	What is the equation of the line that passes through the point $(- 1, - 7)$ and has a slope of $2$ ?
26085	Simplify	-3x^2+4x+10-2x^2-2x	$- 3 x^{2} + 4 x + 10 - 2 x^{2} - 2 x$
26086	Identify the Zeros and Their Multiplicities	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
26087	Graph	y<=3/2x-1 y>=-1/2x+3	$y \leq \frac{3}{2} x - 1$ $y \geq - \frac{1}{2} x + 3$
26088	Simplify	(sin(theta)^3cos(theta))/(cos(theta)^4)	$\frac{\sin^{3} (θ) \cos (θ)}{\cos^{4} (θ)}$
26089	Determine if Linear	y-x/9=12	$y - \frac{x}{9} = 12$
26090	Find the First Term	a_n=-1/2-3/2n	$a_{n} = - \frac{1}{2} - \frac{3}{2} n$
26091	Convert to Radical Form	(a^(4/3))÷(a^(1/3))	$a^{\frac{4}{3}} \div a^{\frac{1}{3}}$
26092	Find the Domain	f(x)=(3x^3+30)/(2x^3)	$f (x) = \frac{3 x^{3} + 30}{2 x^{3}}$
26093	Simplify	( square root of 2)/2-( square root of 2)/2	$\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}$
26094	Find the Domain	f(x)=1/( square root of x^2+x-20)	$f (x) = \frac{1}{\sqrt{x^{2} + x - 20}}$
26095	Evaluate the Integral	integral of (2x-3)^3x with respect to x	$\int {(2 x - 3)}^{3} x d x$
26096	Simplify the Radical Expression	cube root of 3/9	$\sqrt[3]{\frac{3}{9}}$
26097	Simplify	(20m^2n^3-10m^2n)/(5mn)	$\frac{20 m^{2} n^{3} - 10 m^{2} n}{5 m n}$
26098	Find dy/dx	y=2tan(x)	$y = 2 \tan (x)$
26099	Find the GCF	4yz , 2y^2	$4 y z$ , $2 y^{2}$
26100	Integrate Using u-Substitution	integral of x cube root of 3-2x with respect to x	$\int x \sqrt[3]{3 - 2 x} d x$