Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7801	Simplify the Radical Expression	13(8^(3/4))-4*8^(3/4)	$13 (8^{\frac{3}{4}}) - 4 \cdot 8^{\frac{3}{4}}$
7802	Multiply	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
7803	Solve the System of Equations	3x-1/2y=-7/2 x+2y=1	$3 x - \frac{1}{2} y = - \frac{7}{2}$ $x + 2 y = 1$
7804	Evaluate	12+((2^3)÷(2/3))-2	$12 + (2^{3} \div \frac{2}{3}) - 2$
7805	Find the Antiderivative	sin(x)^2*cos(x)	$\sin^{2} (x) \cdot \cos (x)$
7806	Find the Derivative - d/dx	y=(10x^7)^9	$y = {(10 x^{7})}^{9}$
7807	Evaluate the Integral	integral of (5+x)^-5 with respect to x	$\int {(5 + x)}^{- 5} d x$
7808	Simplify the Radical Expression	- square root of 6+ square root of 150	$- \sqrt{6} + \sqrt{150}$
7809	Find the Antiderivative	f(x)=2-x^4+3x^7	$f (x) = 2 - x^{4} + 3 x^{7}$
7810	Solve the Function Operation	f(x)=2x-3 g(x)=3x^2+3x+7 Find: f(g(x))	$f (x) = 2 x - 3$ $g (x) = 3 x^{2} + 3 x + 7$ Find: $f (g (x))$
7811	Solve for t	V=(kt)/P	$V = \frac{k t}{P}$
7812	Simplify	cube root of (x^2y)/27	$\sqrt[3]{\frac{x^{2} y}{27}}$
7813	Write in Standard Form	2y^2-5x+12y+23=0	$2 y^{2} - 5 x + 12 y + 23 = 0$
7814	Find the Inflection Points	f(x)=1/5x^5-x^4-12x^3	$f (x) = \frac{1}{5} x^{5} - x^{4} - 12 x^{3}$
7815	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^5-7x^3+3x^4+1	$- \frac{1}{9} x^{5} - 7 x^{3} + 3 x^{4} + 1$
7816	Simplify/Condense	log base 3 of a^7+( log base 3 of a^4-2* log base 3 of b)	$\log_{3} (a^{7}) + (\log_{3} (a^{4}) - 2 \cdot \log_{3} (b))$
7817	Evaluate	limit as x approaches infinity of cos(x)	$lim_{x \to \infty} \cos (x)$
7818	Simplify	square root of 2*0.5 square root of 8	$\sqrt{2} \cdot 0.5 \sqrt{8}$
7819	Write in Exponential Form	cube root of 2^3	$\sqrt[3]{2^{3}}$
7820	Simplify	((3x^2-22x+7)/10)÷((21x^2+14x-7)/(70x+70))	$\frac{3 x^{2} - 22 x + 7}{10} \div \frac{21 x^{2} + 14 x - 7}{70 x + 70}$
7821	Find Angle B	tri{}{}{}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
7822	Find the End Behavior	f(x)=-144x+4x^4+36x^3+40x^2-224	$f (x) = - 144 x + 4 x^{4} + 36 x^{3} + 40 x^{2} - 224$
7823	Solve for x	square root of x-2 = square root of 3x+5	$\sqrt{x - 2} = \sqrt{3 x + 5}$
7824	Solve for R	s=4.95 square root of R	$s = 4.95 \sqrt{R}$
7825	Find the Holes in the Graph	y=(x^2-25)/(x-4)	$y = \frac{x^{2} - 25}{x - 4}$
7826	Solve the Inequality for m	-20>18+m	$- 20 > 18 + m$
7827	Find the Slope at (1/2,16) Using Implicit Differentiation	f(t)=t^-4 ;, (1/2,16)	$f (t) = t^{- 4}$ ;, $(\frac{1}{2}, 16)$
7828	Convert to Radical Form	1/((x+3)^(-5/2))	$\frac{1}{{(x + 3)}^{- \frac{5}{2}}}$
7829	Simplify the Radical Expression	(27x)^(5/3)	${(27 x)}^{\frac{5}{3}}$
7830	Solve for x	square root of x=2-x^2	$\sqrt{x} = 2 - x^{2}$
7831	Simplify	(a/2)^4((8a^5)^2)/(a^-1a^10)	${(\frac{a}{2})}^{4} \frac{{(8 a^{5})}^{2}}{a^{- 1} a^{10}}$
7832	Simplify	(x^-2-y^-2)/(x^-2y^-2)	$\frac{x^{- 2} - y^{- 2}}{x^{- 2} y^{- 2}}$
7833	Evaluate	(4m^4n^3p^3)/(3m^2n^2p^4)	$\frac{4 m^{4} n^{3} p^{3}}{3 m^{2} n^{2} p^{4}}$
7834	Solve for a	h^3+g/a=m	$h^{3} + \frac{g}{a} = m$
7835	Evaluate the Limit	limit as y approaches -1 of (1/(4+3y)+1/y)/(y+1)	$lim_{y \to - 1} \frac{\frac{1}{4 + 3 y} + \frac{1}{y}}{y + 1}$
7836	Find the Degree, Leading Term, and Leading Coefficient	3x^2+8x^4-15x^3+7	$3 x^{2} + 8 x^{4} - 15 x^{3} + 7$
7837	Simplify	(9r^4)1/2	$(9 r^{4}) \frac{1}{2}$
7838	Solve the Inequality for x	log base 9 of 4x-5< log base 9 of -2x+1	$\log_{9} (4 x - 5) < \log_{9} (- 2 x + 1)$
7839	Simplify the Radical Expression	fifth root of (-y)^10	$\sqrt[5]{{(- y)}^{10}}$
7840	Find the Antiderivative	(5/8x^4-3x^2+2x^-1)dx	$(\frac{5}{8} x^{4} - 3 x^{2} + 2 x^{- 1}) d x$
7841	Find the Inverse	y = square root of x+6+2	$y = \sqrt{x + 6 + 2}$
7842	Simplify	(s^2t^3)/r*(sr^3)/t	$\frac{s^{2} t^{3}}{r} \cdot \frac{s r^{3}}{t}$
7843	Convert to Radical Form	-(16/81)^(3/4)	$- {(\frac{16}{81})}^{\frac{3}{4}}$
7844	Simplify	( fifth root of a^11)/( square root of a)	$\frac{\sqrt[5]{a^{11}}}{\sqrt{a}}$
7845	Find the Inverse	y=2- square root of x	$y = 2 - \sqrt{x}$
7846	Solve for x	2/3x+1/2=31/6	$\frac{2}{3} x + \frac{1}{2} = \frac{31}{6}$
7847	Factor	14k^2(10k^2+5)-2k(10k^2+5)	$14 k^{2} (10 k^{2} + 5) - 2 k (10 k^{2} + 5)$
7848	Evaluate the Function	11^(2x)=14 , 641	$11^{2 x} = 14$ , $641$
7849	Solve for H	S=2LW+(2L+2W)H	$S = 2 L W + (2 L + 2 W) H$
7850	Find the Antiderivative	9x^(4/5)+x-2/(x^3)- square root of x	$9 x^{\frac{4}{5}} + x - \frac{2}{x^{3}} - \sqrt{x}$
7851	Solve the Inequality for d	-3(2+d)<=15	$- 3 (2 + d) \leq 15$
7852	Solve for x	3/4x^2+12=0	$\frac{3}{4} x^{2} + 12 = 0$
7853	Solve by Graphing	x-3y=-15 x=-3	$x - 3 y = - 15$ $x = - 3$
7854	Simplify	((b^2)/(b^7))^(1/20)	${(\frac{b^{2}}{b^{7}})}^{\frac{1}{20}}$
7855	Simplify	-(21w^5x^2)/(7w^4x^5)	$- \frac{21 w^{5} x^{2}}{7 w^{4} x^{5}}$
7856	Multiply	(2xy^2)(x^2-5x+3y)	$(2 x y^{2}) (x^{2} - 5 x + 3 y)$
7857	Solve for x	(1/9)^(-2x^2-10)=81^(8x-10)	${(\frac{1}{9})}^{- 2 x^{2} - 10} = 81^{8 x - 10}$
7858	Find the Maximum/Minimum Value	P(t)=-0.3t^3+80t+800	$P (t) = - 0.3 t^{3} + 80 t + 800$
7859	Evaluate	(x^2y^5)/(xy^4)	$\frac{x^{2} y^{5}}{x y^{4}}$
7860	Evaluate the Integral	integral of (2 cube root of x^5)/3 with respect to x	$\int \frac{2 \sqrt[3]{x^{5}}}{3} d x$
7861	Simplify	(x^2+2x-3)/((x-4)/((2x^2+5x-3)/(x^2-16)))	$\frac{x^{2} + 2 x - 3}{\frac{x - 4}{\frac{2 x^{2} + 5 x - 3}{x^{2} - 16}}}$
7862	Simplify	( cube root of 125)^-2	${(\sqrt[3]{125})}^{- 2}$
7863	Simplify	-9/(-4- square root of 2)	$\frac{- 9}{- 4 - \sqrt{2}}$
7864	Find the Domain	V(w)=(60-4w)w^2	$V (w) = (60 - 4 w) w^{2}$
7865	Solve the Inequality for x	(x^2+2x+3)/(x+1)<=x+2	$\frac{x^{2} + 2 x + 3}{x + 1} \leq x + 2$
7866	Find Where Increasing/Decreasing	x^5-10x^4+25x^3	$x^{5} - 10 x^{4} + 25 x^{3}$
7867	Evaluate the Integral	integral of x^2(3x+2)(4x-5) with respect to x	$\int x^{2} (3 x + 2) (4 x - 5) d x$
7868	Evaluate	(8-3)^2-((4+1)^3)/(5^2)	${(8 - 3)}^{2} - \frac{{(4 + 1)}^{3}}{5^{2}}$
7869	Simplify	(6x^2y^-3)/(x^-5)	$\frac{6 x^{2} y^{- 3}}{x^{- 5}}$
7870	Solve for b	-20+4b=19+12+7b	$- 20 + 4 b = 19 + 12 + 7 b$
7871	Simplify	(48x-6+3y)/3	$\frac{48 x - 6 + 3 y}{3}$
7872	Solve for l	V=lwh for l	$V = l w h$ for $l$
7873	Simplify	(2x)/(-4x+5)	$\frac{2 x}{- 4 x + 5}$
7874	Evaluate	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
7875	Solve for b	b^2+36=0	$b^{2} + 36 = 0$
7876	Graph	x-4y<=24 y<=2x+1	$x - 4 y \leq 24$ $y \leq 2 x + 1$
7877	Find All Complex Solutions	15/(x(x+4))=(x+2)/(x+4)	$\frac{15}{x (x + 4)} = \frac{x + 2}{x + 4}$
7878	Solve for z	-5z-12=14+14-z	$- 5 z - 12 = 14 + 14 - z$
7879	Solve the Inequality for t	t+1/5>2/3t	$t + \frac{1}{5} > \frac{2}{3} t$
7880	Evaluate	4*2^-1	$4 \cdot 2^{- 1}$
7881	Graph	y>x-1 y>-2x	$y > x - 1$ $y > - 2 x$
7882	Find the Asymptotes	f(x)=(6-x)/(3x^2+2)	$f (x) = \frac{6 - x}{3 x^{2} + 2}$
7883	Solve for X	X/-3+11=8	$\frac{X}{- 3} + 11 = 8$
7884	Find the Domain and Range	y=2+sin(4x)	$y = 2 + \sin (4 x)$
7885	Find the Second Term	a_n=((n+2)!)/(n+2)	$a_{n} = \frac{(n + 2)!}{n + 2}$
7886	Write as a Single Logarithm	1/2* log base 3 of 81	$\frac{1}{2} \cdot \log_{3} (81)$
7887	Find the Product	a(4a+3)	$a (4 a + 3)$
7888	Solve for x	3(x-5)=12+2x	$3 (x - 5) = 12 + 2 x$
7889	Solve the Inequality for x	2x+y>5	$2 x + y > 5$
7890	Solve for x	square root of 2x-88 = square root of x/6	$\sqrt{2 x - 88} = \sqrt{\frac{x}{6}}$
7891	Simplify	3^(1/2)*3^(1/4)	$3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}}$
7892	Factor	3x^5+9x^3+12x	$3 x^{5} + 9 x^{3} + 12 x$
7893	Simplify	-4^4(4^7)	$- 4^{4} (4^{7})$
7894	Solve for s	s+s+8+12=38	$s + s + 8 + 12 = 38$
7895	Evaluate	log base 7 of 5x+3=3	$\log_{7} (5 x) + 3 = 3$
7896	Simplify	(2^3+1)^0-5^-2+5	${(2^{3} + 1)}^{0} - 5^{- 2} + 5$
7897	Write in Standard Form	y=(x+1)(x^2+3x+2)	$y = (x + 1) (x^{2} + 3 x + 2)$
7898	Simplify	8y+15x+3y-12x-3x	$8 y + 15 x + 3 y - 12 x - 3 x$
7899	Find the Domain	(x^2-xy)/y*(y^2)/x	$\frac{x^{2} - x y}{y} \cdot \frac{y^{2}}{x}$
7900	Simplify	( square root of 448x^3y^5)/( square root of 4x^3y)	$\frac{\sqrt{448 x^{3} y^{5}}}{\sqrt{4 x^{3} y}}$