Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20801	Solve for x	3^x*3^(x+7)=9	$3^{x} \cdot 3^{x + 7} = 9$
20802	Evaluate the Integral	integral from -10 to -2 of (1/x) with respect to x	$\int_{- 10}^{- 2} (\frac{1}{x}) d x$
20803	Multiply	1/2*-1/2	$\frac{1}{2} \cdot \frac{- 1}{2}$
20804	Solve the Inequality for y	5<2-3y<14	$5 < 2 - 3 y < 14$
20805	Solve for c	-76=-3c^2-7	$- 76 = - 3 c^{2} - 7$
20806	Simplify	(12x^4-4x^3+7x+6)+(3x^2-4x+14)	$(12 x^{4} - 4 x^{3} + 7 x + 6) + (3 x^{2} - 4 x + 14)$
20807	Find dy/dx	5y-4y^3+4x^3=-1	$5 y - 4 y^{3} + 4 x^{3} = - 1$
20808	Simplify	((x^(-1/2)yz^(1/3))/(x^2y^(1/3)z^-1))^(1/2)	${(\frac{x^{- \frac{1}{2}} y z^{\frac{1}{3}}}{x^{2} y^{\frac{1}{3}} z^{- 1}})}^{\frac{1}{2}}$
20809	Solve for R	16/13=4/R	$\frac{16}{13} = \frac{4}{R}$
20810	Solve the Function Operation	g(4c) if g(x)=2x^2-3x+8	$g (4 c)$ if $g (x) = 2 x^{2} - 3 x + 8$
20811	Evaluate	4x=3x+5	$4 x = 3 x + 5$
20812	Evaluate Using Scientific Notation	(1.010^-15)/(4.210^-7)	$\frac{1 \times 10^{- 15}}{4.2 \times 10^{- 7}}$
20813	Solve Using the Quadratic Formula	x^2+nx+25	$x^{2} + n x + 25$
20814	Multiply	7 square root of 2* square root of 5* square root of 10	$7 \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{10}$
20815	Solve by Substitution	y-x=9 10+2x=-2y	$y - x = 9$ $10 + 2 x = - 2 y$
20816	Evaluate the Limit	limit as x approaches infinity of 1/2x-4/(x^2)	$lim_{x \to \infty} \frac{1}{2} x - \frac{4}{x^{2}}$
20817	Solve the Inequality for x	3x+y<=3	$3 x + y \leq 3$
20818	Simplify	(-10x^5+12x^2-6x)/(2x^2)	$\frac{- 10 x^{5} + 12 x^{2} - 6 x}{2 x^{2}}$
20819	Solve for a	y=a*2^x	$y = a \cdot 2^{x}$
20820	Verify the Identity	(sec(x)+1)/(tan(x))=(sin(x))/(1-cos(x))	$\frac{\sec (x) + 1}{\tan (x)} = \frac{\sin (x)}{1 - \cos (x)}$
20821	Solve the Inequality for x	5(2x-1)>=3x+7+x	$5 (2 x - 1) \geq 3 x + 7 + x$
20822	Solve for u	-8/(2u+6)+2=-4/(u+3)	$- \frac{8}{2 u + 6} + 2 = - \frac{4}{u + 3}$
20823	Solve for x	5/2(2-3/4x)-3/2=12x+8/5	$\frac{5}{2} (2 - \frac{3}{4} x) - \frac{3}{2} = 12 x + \frac{8}{5}$
20824	Evaluate the Integral	integral from 0 to 1 of x^2* square root of x^3+2 with respect to x	$\int_{0}^{1} x^{2} \cdot \sqrt{x^{3} + 2} d x$
20825	Solve for x	(4^x)^(x+1)=16	${(4^{x})}^{x + 1} = 16$
20826	Solve for x	(2x)/3>4	$\frac{2 x}{3} > 4$
20827	Subtract	(8x-3)/(16x+28)-(x-7)/(4x+7)	$\frac{8 x - 3}{16 x + 28} - \frac{x - 7}{4 x + 7}$
20828	Find dy/dx	2x+5-y=xy	$2 x + 5 - y = x y$
20829	Solve the System of Inequalities	x+3y<-18 5x+2y<=14	$x + 3 y < - 18$ $5 x + 2 y \leq 14$
20830	Find the Reference Angle	330deg	$330$ degrees
20831	Simplify	((3xy^3)/(2z))^3	${(\frac{3 x y^{3}}{2 z})}^{3}$
20832	Solve for s	6s-1=3s	$6 s - 1 = 3 s$
20833	Graph	f(x)=(-4x-12)/(2x^2+5x-3)	$f (x) = \frac{- 4 x - 12}{2 x^{2} + 5 x - 3}$
20834	Write in Standard Form	2+1/2x=y	$2 + \frac{1}{2} x = y$
20835	Simplify	(5x+1)/(5x)-(4x+1)/(4x)	$\frac{5 x + 1}{5 x} - \frac{4 x + 1}{4 x}$
20836	Simplify	4x5x^32x^5	$4 x \cdot 5 x^{3} \cdot 2 x^{5}$
20837	Find the Roots (Zeros)	3(x+4)^2=10x+32	$3 {(x + 4)}^{2} = 10 x + 32$
20838	Solve for a	2a^2+ab=0	$2 a^{2} + a b = 0$
20839	Graph Using a Table of Values	f(x)=5*(1/2)^x	$f (x) = 5 \cdot {(\frac{1}{2})}^{x}$
20840	Add	(3y^6-y+4)+(y^6-5)	$(3 y^{6} - y + 4) + (y^{6} - 5)$
20841	Convert from Degrees to Radians	-30deg	$- 30$ degrees
20842	Solve for x	-3 = cube root of 2x+439-12	$- 3 = \sqrt[3]{2 x + 439} - 12$
20843	Solve the Function Operation	f(x)=x^3-9 ; find f^-1(x)	$f (x) = x^{3} - 9$ ; find $f^{- 1} (x)$
20844	Solve for n	4(n-26)^(1/4)=12	$4 {(n - 26)}^{\frac{1}{4}} = 12$
20845	Solve the Inequality for x	14<2x+4<=6	$14 < 2 x + 4 \leq 6$
20846	Solve for a	g(a)=3a+1	$g (a) = 3 a + 1$
20847	Simplify	cube root of (a^3)/(-512y)	$\sqrt[3]{\frac{a^{3}}{- 512 y}}$
20848	Find the Derivative - d/dx	2/3xy^2+2x-1/3xy^2+2/3x^2y-5x	$\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x$
20849	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-5x^2+3x+1 is divided by x-1	Use synthetic division to find the result when $x^{3} - 5 x^{2} + 3 x + 1$ is divided by $x - 1$
20850	Solve for x	cube root of x^2-2=4	$\sqrt[3]{x^{2} - 2} = 4$
20851	Find the Domain and Range	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
20852	Find the Domain	-8/(2a+b)	$- \frac{8}{2 a + b}$
20853	Evaluate	(5-2i^2)^2	${(5 - 2 i^{2})}^{2}$
20854	Solve for x	(h^2)(h^10)=(h^2)^(x^2+5x+6)	$(h^{2}) (h^{10}) = {(h^{2})}^{x^{2} + 5 x + 6}$
20855	Solve for x	y>=x^2-2x-3	$y \geq x^{2} - 2 x - 3$
20856	Evaluate the Limit	limit as x approaches 3 of (x^n-3)/(x^m-3)	$lim_{x \to 3} \frac{x^{n} - 3}{x^{m} - 3}$
20857	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2- square root of 3x+2	$f (x) = 8 x^{2} - \sqrt{3} x + 2$
20858	Find the Product	(a+2b+3c)^2	${(a + 2 b + 3 c)}^{2}$
20859	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-9x^3+5x^2+23x+8 is divided by x-8	Use synthetic division to find the result when $x^{4} - 9 x^{3} + 5 x^{2} + 23 x + 8$ is divided by $x - 8$
20860	Evaluate	(x^(2/3))^2	${(x^{\frac{2}{3}})}^{2}$
20861	Solve the System of Inequalities	y>=x/2-3 y<2x	$y \geq \frac{x}{2} - 3$ $y < 2 x$
20862	Solve the System of Equations	y=-x^2+5x+1 y=2x-3	$y = - x^{2} + 5 x + 1$ $y = 2 x - 3$
20863	Evaluate	60/360(2pi*15)	$\frac{60}{360} (2 π \cdot 15)$
20864	Find the LCM	20 and 5	$20$ and $5$
20865	Describe the Transformation	y=3 square root of x+5+2	$y = 3 \sqrt{x + 5} + 2$
20866	Factor	y=x^4-9x^2	$y = x^{4} - 9 x^{2}$
20867	Simplify	4^x+4^x	$4^{x} + 4^{x}$
20868	Simplify	square root of square root of square root of 625	$\sqrt{\sqrt{\sqrt{625}}}$
20869	Find the Center and Radius	y^2+x^2-20x+14y-32=0	$y^{2} + x^{2} - 20 x + 14 y - 32 = 0$
20870	Simplify	-1/2x^4+5-1/3x^4-2	$- \frac{1}{2} x^{4} + 5 - \frac{1}{3} x^{4} - 2$
20871	Solve the Inequality for x	(3x+1)/(x-7)<=0	$\frac{3 x + 1}{x - 7} \leq 0$
20872	Graph	f(x) = square root of -(x+3)+1	$f (x) = \sqrt{- (x + 3)} + 1$
20873	Find the Slope	f(x)=x-2	$f (x) = x - 2$
20874	Solve the Rational Equation for x	(2x)/(x-3)=(3x)/(x-2)	$\frac{2 x}{x - 3} = \frac{3 x}{x - 2}$
20875	Divide	(2i)/(1-i)	$\frac{2 i}{1 - i}$
20876	Solve the System of Equations	-3x+7y=-18 and 4x-4y=8	$- 3 x + 7 y = - 18$ and $4 x - 4 y = 8$
20877	Find the GCF	4x^3 and 9y^5	$4 x^{3}$ and $9 y^{5}$
20878	Find Where Increasing/Decreasing	f(x)=sin(x)^2	$f (x) = \sin^{2} (x)$
20879	Find the Distance Between Two Points	(6,2) and (4,-2)	$(6, 2)$ and $(4, - 2)$
20880	Solve for v	v/2.2-0.1=7.4	$\frac{v}{2.2} - 0.1 = 7.4$
20881	Solve for x	(x-3)^2+(x+1)^2=(x-2)^2+(x+3)^2	${(x - 3)}^{2} + {(x + 1)}^{2} = {(x - 2)}^{2} + {(x + 3)}^{2}$
20882	Simplify the Radical Expression	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
20883	Simplify	4x+8-6x+4(x-3)	$4 x + 8 - 6 x + 4 (x - 3)$
20884	Divide	(2.1810^10)÷1.0910^12	$2.18 \cdot 10^{10} \div 1.09 \cdot 10^{12}$
20885	Simplify	3x^3y^52x^5-3xy^4	$3 x^{3} y^{5} \cdot 2 x^{5} \cdot - 3 x y^{4}$
20886	Graph	y<=x-3 y>=x+1	$y \leq x - 3$ $y \geq x + 1$
20887	Evaluate	e^0+e^(-0)	$e^{0} + e^{- 0}$
20888	Solve the Inequality for x	\|x\|-2>0	$\| x \| - 2 > 0$
20889	Evaluate	4.51/4+2.51/4+7*1/4	$4.5 \cdot \frac{1}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{4}$
20890	Evaluate	(144k^2r^14)^(1/2)	${(144 k^{2} r^{14})}^{\frac{1}{2}}$
20891	Graph	y=-(x^2+2)	$y = - (x^{2} + 2)$
20892	Simplify	csc(theta)tan(theta)cos(theta)	$\csc (θ) \tan (θ) \cos (θ)$
20893	Simplify	(2x+1)/(8x^4)-3/(2x^3)	$\frac{2 x + 1}{8 x^{4}} - \frac{3}{2 x^{3}}$
20894	Find the Secant Given the Point	((2 square root of 13)/13,-(3 square root of 13)/13)	$(\frac{2 \sqrt{13}}{13}, - \frac{3 \sqrt{13}}{13})$
20895	Factor	90x^4+384x^3+432x^2-96	$90 x^{4} + 384 x^{3} + 432 x^{2} - 96$
20896	Evaluate the Limit	limit as x approaches -2 of (3x^4+7x^3+x^2-6x-10)^8	$lim_{x \to - 2} {(3 x^{4} + 7 x^{3} + x^{2} - 6 x - 10)}^{8}$
20897	Factor by Grouping	3x^4+2x^2-8	$3 x^{4} + 2 x^{2} - 8$
20898	Simplify	(3b)/2-(4a)/(6a^2b)	$\frac{3 b}{2} - \frac{4 a}{6 a^{2} b}$
20899	Evaluate the Limit	limit as x approaches 0 of ((1-4x)^2-1)/(-10x)	$lim_{x \to 0} \frac{{(1 - 4 x)}^{2} - 1}{- 10 x}$
20900	Simplify the Radical Expression	( square root of 24)( square root of 6)	$(\sqrt{24}) (\sqrt{6})$