Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40701	Find the Excluded Values	(x^2-49)/(x^2-81)	$\frac{x^{2} - 49}{x^{2} - 81}$
40702	Find the LCD	x/(x-2) and (7x)/(x-5)	$\frac{x}{x - 2}$ and $\frac{7 x}{x - 5}$
40703	Solve for x	x/10=10/(25-x)	$\frac{x}{10} = \frac{10}{25 - x}$
40704	Simplify	(7-i^2)(2+i^4)	$(7 - i^{2}) (2 + i^{4})$
40705	Write in Standard Form	(6+ square root of -3)(6+ square root of -7)	$(6 + \sqrt{- 3}) (6 + \sqrt{- 7})$
40706	Graph	g(n)=-(3n-1)(2n+1)	$g (n) = - (3 n - 1) (2 n + 1)$
40707	Factor	y=2x^3+x^2-x	$y = 2 x^{3} + x^{2} - x$
40708	Multiply	(2x^2-7x-1)(3x^2+x-1)	$(2 x^{2} - 7 x - 1) (3 x^{2} + x - 1)$
40709	Simplify	(r-2)/(r-1)-5/3	$\frac{r - 2}{r - 1} - \frac{5}{3}$
40710	Find the Vertex	f(x)=-2(x^2-4)	$f (x) = - 2 (x^{2} - 4)$
40711	Evaluate	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
40712	Convert to a Simplified Fraction	1.5/9	$\frac{1.5}{9}$
40713	Multiply	( square root of 5)( square root of 3-2 square root of 3)	$(\sqrt{5}) (\sqrt{3} - 2 \sqrt{3})$
40714	Find the Exact Value	- cube root of 125^5	$- \sqrt[3]{125^{5}}$
40715	Find the Slope	(-9,-9) and (-6,-12)	$(- 9, - 9)$ and $(- 6, - 12)$
40716	Find the Center and Radius	(x-3)^2+(y+1/2)^2=24	${(x - 3)}^{2} + {(y + \frac{1}{2})}^{2} = 24$
40717	Simplify	(2x)^(1/5)*(2x)^(-1/5)	${(2 x)}^{\frac{1}{5}} \cdot {(2 x)}^{\frac{- 1}{5}}$
40718	Graph	x<=-y	$x \leq - y$
40719	Write as a Single Logarithm	log of 72-1/3(2* log of 4+ log of 32)	$\log (72) - \frac{1}{3} (2 \cdot \log (4) + \log (32))$
40720	Simplify	Simplify: (-4dq)^2	Simplify: ${(- 4 d q)}^{2}$
40721	Solve by Factoring	x^2-2x+184=2x	$x^{2} - 2 x + 184 = 2 x$
40722	Simplify	-x^2y^-3*x^-2y^2	$- x^{2} y^{- 3} \cdot x^{- 2} y^{2}$
40723	Find the Roots (Zeros)	f(x)=-2(x^2-4)	$f (x) = - 2 (x^{2} - 4)$
40724	Simplify	(100x^2-100)/(1-x^2)	$\frac{100 x^{2} - 100}{1 - x^{2}}$
40725	Simplify	(3x)/5-3(x+17)	$\frac{3 x}{5} - 3 (x + 17)$
40726	Multiply	(x+(y-2))^2	${(x + (y - 2))}^{2}$
40727	Solve for r	1.27=(1+r/12)^84	$1.27 = {(1 + \frac{r}{12})}^{84}$
40728	Solve for x	5x-5/2(x-2)=10	$5 x - \frac{5}{2} (x - 2) = 10$
40729	Simplify	(12x^3-16x^2y+3xy^2+9y^2)(2x^3y)^-1	$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) {(2 x^{3} y)}^{- 1}$
40730	Graph	-(x+3)(x+1)^2(2x-5)	$- (x + 3) {(x + 1)}^{2} (2 x - 5)$
40731	Simplify the Radical Expression	-10x square root of 40-2 square root of 10x^2	$- 10 x \sqrt{40} - 2 \sqrt{10 x^{2}}$
40732	Find the Exact Value	tan(4pi)-sin(-(17pi)/6)+cos(-(13pi)/3)	$\tan (4 π) - \sin (- \frac{17 π}{6}) + \cos (- \frac{13 π}{3})$
40733	Solve the Inequality for x	square root of 2- square root of x+6<=- square root of x	$\sqrt{2} - \sqrt{x + 6} \leq - \sqrt{x}$
40734	Solve the System of Equations	x+y+10=0 x^2+y-2=0	$x + y + 10 = 0$ $x^{2} + y - 2 = 0$
40735	Find the Third Derivative	5^x+2x	$5^{x} + 2 x$
40736	Solve for d	3d-7d+2.8<5.8-27	$3 d - 7 d + 2.8 < 5.8 - 27$
40737	Evaluate the Integral	integral of sec(x)^2+2sin(1/4x)-cot(an*5x) with respect to x	$\int \sec^{2} (x) + 2 \sin (\frac{1}{4} x) - \cot (a n \cdot 5 x) d x$
40738	Graph	f(x)=(-3x^2-21x-36)/(2x^2+6x)	$f (x) = \frac{- 3 x^{2} - 21 x - 36}{2 x^{2} + 6 x}$
40739	Find the Integral	2/(x^2+1)	$\frac{2}{x^{2} + 1}$
40740	Solve for t	t^2+9t-4=-5	$t^{2} + 9 t - 4 = - 5$
40741	Find the Degree	s^3+s^2+(s^5)/4	$s^{3} + s^{2} + \frac{s^{5}}{4}$
40742	Factor	m^4+4m^2n+4n^2	$m^{4} + 4 m^{2} n + 4 n^{2}$
40743	Multiply	3*2/3	$3 \times \frac{2}{3}$
40744	Evaluate	3(-(6-1)+2^3)	$3 (- (6 - 1) + 2^{3})$
40745	Evaluate the Integral	integral of -(5 cube root of x^2)/3 with respect to x	$\int - \frac{5 \sqrt[3]{x^{2}}}{3} d x$
40746	Simplify the Radical Expression	fourth root of x* cube root of x	$\sqrt[4]{x} \cdot \sqrt[3]{x}$
40747	Evaluate the Integral	integral from 1 to 4 of (s^4-8)/(s^2) with respect to s	$\int_{1}^{4} \frac{s^{4} - 8}{s^{2}} d s$
40748	Find the Equation Using Point-Slope Formula	(1,-8) and (-4,4)	$(1, - 8)$ and $(- 4, 4)$
40749	Evaluate the Limit	limit as x approaches 0 of ((2x+1)^2-1)/x	$lim_{x \to 0} \frac{{(2 x + 1)}^{2} - 1}{x}$
40750	Graph	A(t)=300te^(-2.5t)	$A (t) = 300 t e^{- 2.5 t}$
40751	Find the Maximum/Minimum Value	A(t)=300te^(-2.5t)	$A (t) = 300 t e^{- 2.5 t}$
40752	Simplify	( square root of 8)/( square root of 2x+6)	$\frac{\sqrt{8}}{\sqrt{2 x} + 6}$
40753	Evaluate	(cos(0.01)-1)/0.01	$\frac{\cos (0.01) - 1}{0.01}$
40754	Graph Using a Table of Values	f(x)=1/2x+2	$f (x) = \frac{1}{2} x + 2$
40755	Solve for θ	tan(2theta)+tan(theta)=0	$\tan (2 θ) + \tan (θ) = 0$
40756	Solve the System of Equations	-2x-3y=-10 and 6x+9y=30	$- 2 x - 3 y = - 10$ and $6 x + 9 y = 30$
40757	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10x-6+x^3-8x^2	$f (x) = - 10 x - 6 + x^{3} - 8 x^{2}$
40758	Factor	16x^4-1/16	$16 x^{4} - \frac{1}{16}$
40759	Simplify	(1+x/y)/(1-x/y)	$\frac{1 + \frac{x}{y}}{1 - \frac{x}{y}}$
40760	Find the Length of c	tri{4}{}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
40761	Find the Exact Value	(2pi)/((2pi)/3)	$\frac{2 π}{\frac{2 π}{3}}$
40762	Simplify	25r^3+9s-2r^3+5s	$25 r^{3} + 9 s - 2 r^{3} + 5 s$
40763	Find the Antiderivative	2^x+x+1	$2^{x} + x + 1$
40764	Find All Complex Solutions	7(5x+9)=18-(x+9)	$7 (5 x + 9) = 18 - (x + 9)$
40765	Solve for a	a^3=100	$a^{3} = 100$
40766	Evaluate	2(1)-3(1)^(2/3)	$2 (1) - 3 {(1)}^{\frac{2}{3}}$
40767	Solve for Q	6Q-11=21	$6 Q - 11 = 21$
40768	Solve the Inequality for p	-8(p+2)<-56	$- 8 (p + 2) < - 56$
40769	Solve for n	V=C(1-n/N)	$V = C (1 - \frac{n}{N})$
40770	Simplify	(2x+4)/(6x+12)	$\frac{2 x + 4}{6 x + 12}$
40771	Solve for y₁	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
40772	Solve the Function Operation	h(n)=2n-4 g(n)=n-2 Find h(n)+g(n)	$h (n) = 2 n - 4$ $g (n) = n - 2$ Find $h (n) + g (n)$
40773	Solve the System of Inequalities	x^2+y^2<=49 x^2-4y^2>16	$x^{2} + y^{2} \leq 49$ $x^{2} - 4 y^{2} > 16$
40774	Find the Roots (Zeros)	f(x)=-3(x-1)^2(x^2-4)	$f (x) = - 3 {(x - 1)}^{2} (x^{2} - 4)$
40775	Solve for t	t^(-5/2)=32	$t^{- \frac{5}{2}} = 32$
40776	Evaluate	(2pi)÷(3/2)	$2 π \div \frac{3}{2}$
40777	Factor	P(x)=x^3+x^2+x+1	$P (x) = x^{3} + x^{2} + x + 1$
40778	Solve the System of Inequalities	(m-2)/3<-2 OR 4m+3>15	$\frac{m - 2}{3} < - 2$ OR $4 m + 3 > 15$
40779	Subtract	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
40780	Simplify	square root of x^2* square root of x^2	$\sqrt{x^{2}} \cdot \sqrt{x^{2}}$
40781	Find the Derivative - d/dx	d/(dx)-sin(x)	$\frac{d}{d x} - \sin (x)$
40782	Factor	8i^3+343	$8 i^{3} + 343$
40783	Simplify the Radical Expression	( square root of 56x^5y^5)/( square root of 7xy)	$\frac{\sqrt{56 x^{5} y^{5}}}{\sqrt{7 x y}}$
40784	Solve the Inequality for y	y+1<6	$y + 1 < 6$
40785	Simplify the Matrix	[[0,5],[-3,1],[-5,1]]*[[-4,4],[-2,-4]]	$[\begin{array}{c} 0 & 5 \\ - 3 & 1 \\ - 5 & 1 \end{array}] \cdot [\begin{array}{c} - 4 & 4 \\ - 2 & - 4 \end{array}]$
40786	Find the Antiderivative	f(x)=2/(x+1)	$f (x) = \frac{2}{x + 1}$
40787	Graph	f(x)=(x^2+3x)/(x^2+5x+6)	$f (x) = \frac{x^{2} + 3 x}{x^{2} + 5 x + 6}$
40788	Graph	y<=2x -2 y<2x-5	$y \leq 2 x$ $- 2$ $y < 2 x - 5$
40789	Solve for w	w--3=18	$w - - 3 = 18$
40790	Graph	3x+2y<=6 x-2y<=2	$3 x + 2 y \leq 6$ $x - 2 y \leq 2$
40791	Evaluate	(5^2-3)/(5+2(3))	$\frac{5^{2} - 3}{5 + 2 (3)}$
40792	Solve the Inequality for y	2+ square root of 4y-4<=6	$2 + \sqrt{4 y - 4} \leq 6$
40793	Simplify	2x^3 square root of -27x^3	$2 x^{3} \sqrt{- 27 x^{3}}$
40794	Solve for x	2(x-1)+4x=2(3x-1)	$2 (x - 1) + 4 x = 2 (3 x - 1)$
40795	Solve for u	u-9=-7u+7	$u - 9 = - 7 u + 7$
40796	Evaluate the Integral	integral of 2 cube root of sin(2x)cos(2x) with respect to x	$\int 2 \sqrt[3]{\sin (2 x)} \cos (2 x) d x$
40797	Solve the Inequality for v	-2>v/-3	$- 2 > \frac{v}{- 3}$
40798	Evaluate	(y^-1y^-5)/(x^8x^-2)	$\frac{y^{- 1} y^{- 5}}{x^{8} x^{- 2}}$
40799	Evaluate the Integral	integral of x^3e^(6x^4) square root of (2e^(6x^4)+1)^5 with respect to x	$\int x^{3} e^{6 x^{4}} \sqrt{{(2 e^{6 x^{4}} + 1)}^{5}} d x$
40800	Find the Domain	y=- square root of -3x	$y = - \sqrt{- 3 x}$