Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46801	Solve for x	8(4-2x)=4(3-5x)+4x	$8 (4 - 2 x) = 4 (3 - 5 x) + 4 x$
46802	Simplify the Radical Expression	( square root of 5a^5)/( square root of b^13)	$\frac{\sqrt{5 a^{5}}}{\sqrt{b^{13}}}$
46803	Simplify the Radical Expression	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
46804	Solve for x	square root of 6+5x+ square root of 3x+4=2	$\sqrt{6 + 5 x} + \sqrt{3 x + 4} = 2$
46805	Solve for x	(2x-5)^2-(x-6)^2=80	${(2 x - 5)}^{2} - {(x - 6)}^{2} = 80$
46806	Simplify	(-1-i)/(4+4i)	$\frac{- 1 - i}{4 + 4 i}$
46807	Graph Using a Table of Values	y=(x-1)^2+2	$y = {(x - 1)}^{2} + 2$
46808	Evaluate	(4x^(5/4))/(2x^(1/2))	$\frac{4 x^{\frac{5}{4}}}{2 x^{\frac{1}{2}}}$
46809	Graph	x<5 or x>=8	$x < 5$ or $x \geq 8$
46810	Find the Percentage Rate of Change	y=1200*(1+0.3)^t	$y = 1200 \cdot {(1 + 0.3)}^{t}$
46811	Evaluate	-4+y<-8	$- 4 + y < - 8$
46812	Solve the Function Operation	6h-1=-3	$6 h - 1 = - 3$
46813	Simplify	-2x^2+4-7x^2-4x+2-2+4x	$- 2 x^{2} + 4 - 7 x^{2} - 4 x + 2 - 2 + 4 x$
46814	Simplify	1+ square root of 1	$1 + \sqrt{1}$
46815	Evaluate the Function	f(0)=5(0)+1	$f (0) = 5 (0) + 1$
46816	Simplify the Radical Expression	(3 square root of 5)( square root of 6)( square root of 12)	$(3 \sqrt{5}) (\sqrt{6}) (\sqrt{12})$
46817	Simplify	10/(3 square root of 20)	$\frac{10}{3 \sqrt{20}}$
46818	Simplify	(x^2-1)/(x^2+3x+2)*(x+2)/(x^2-2x+1)	$\frac{x^{2} - 1}{x^{2} + 3 x + 2} \cdot \frac{x + 2}{x^{2} - 2 x + 1}$
46819	Find All Complex Solutions	2cos(x)^2+3cos(x)-2=0	$2 \cos^{2} (x) + 3 \cos (x) - 2 = 0$
46820	Convert to Radical Form	(x-2y)^(-2/3)	${(x - 2 y)}^{- \frac{2}{3}}$
46821	Graph	x+12/x=7	$x + \frac{12}{x} = 7$
46822	Solve for θₐ	s_a-s_b=r_atheta_a-r_btheta_b	$s_{a} - s_{b} = r_{a} θ_{a} - r_{b} θ_{b}$
46823	Solve for B	R=4(B-A)	$R = 4 (B - A)$
46824	Simplify	2 2/5/2 1/10	$\frac{2 \frac{2}{5}}{2 \frac{1}{10}}$
46825	Solve for x	square root of 5x+1-6=0	$\sqrt{5 x + 1 - 6} = 0$
46826	Solve for x	12+4-2-x=8	$12 + 4 - 2 - x = 8$
46827	Solve for y	5x-8y=40 ; for y	$5 x - 8 y = 40$ ; for $y$
46828	Solve for y	5y+4-2y=9	$5 y + 4 - 2 y = 9$
46829	Find the Derivative - d/dx	integral of square root of x with respect to x	$\int \sqrt{x} d x$
46830	Integrate Using u-Substitution	integral of square root of 9-x^2 with respect to x	$\int \sqrt{9 - x^{2}} d x$
46831	Find the Domain and Range	y=csc(2x)	$y = \csc (2 x)$
46832	Simplify	3/(7x)-(2x)/5	$\frac{3}{7 x} - \frac{2 x}{5}$
46833	Find dy/dx	2y^2-4=4x^2	$2 y^{2} - 4 = 4 x^{2}$
46834	Solve the Rational Equation for a	15/(a^2-1)=5/(2a-2)	$\frac{15}{a^{2} - 1} = \frac{5}{2 a - 2}$
46835	Solve by Substitution	y=x^2-1 -7=-x^2-y	$y = x^{2} - 1$ $- 7 = - x^{2} - y$
46836	Solve the Rational Equation for x	1/(x-1)+5=11/(x-1)	$\frac{1}{x - 1} + 5 = \frac{11}{x - 1}$
46837	Simplify	((2x^2+3x-14)/(3x^2-2x-5))÷((2x-4)/(3x-5))	$\frac{2 x^{2} + 3 x - 14}{3 x^{2} - 2 x - 5} \div \frac{2 x - 4}{3 x - 5}$
46838	Simplify the Radical Expression	(3 square root of 20)/(2 square root of 4)	$\frac{3 \sqrt{20}}{2 \sqrt{4}}$
46839	Simplify	(p+r)(p-r)(p+r)	$(p + r) (p - r) (p + r)$
46840	Simplify	(2x^2y^3)^4(-xy^2)^2	${(2 x^{2} y^{3})}^{4} {(- x y^{2})}^{2}$
46841	Simplify	5f^2g(-2(fg^3))g^4	$(5 f^{2} g) (- 2 f g^{3}) (g^{4})$
46842	Divide	(10 square root of 2)/2	$\frac{10 \sqrt{2}}{2}$
46843	Graph Using a Table of Values	f(x) = square root of x+6	$f (x) = \sqrt{x + 6}$
46844	Graph	y<2x-5 2x+2y>8	$y < 2 x - 5$ $2 x + 2 y > 8$
46845	Write the Fraction in Simplest Form	3/2*10/9	$\frac{3}{2} \cdot \frac{10}{9}$
46846	Solve the Absolute Value Inequality for y	\|y\|+1=3	$\| y \| + 1 = 3$
46847	Solve for x	square root of 3x-8-9=-7	$\sqrt{3 x - 8 - 9} = - 7$
46848	Solve for x	\|x/2-1/3\|=1	$\| \frac{x}{2} - \frac{1}{3} \| = 1$
46849	Find the Maximum/Minimum Value	f(x)=2sin(2x)-pi/2	$f (x) = 2 \sin (2 x) - \frac{π}{2}$
46850	Divide	((35x^2+50x)/(5x))÷((7x^2+66x+80)/(3x-3))	$\frac{35 x^{2} + 50 x}{5 x} \div \frac{7 x^{2} + 66 x + 80}{3 x - 3}$
46851	Solve for x	0.2(x+3)-0.4(x+3)=-0.2x-0.6	$0.2 (x + 3) - 0.4 (x + 3) = - 0.2 x - 0.6$
46852	Solve for n	0.3325=(n^2-1)/(3n^2)	$0.3325 = \frac{n^{2} - 1}{3 n^{2}}$
46853	Find the Vertex	y+6=2(x-7)^2	$y + 6 = 2 {(x - 7)}^{2}$
46854	Solve the System of Equations	y=x^2-4x+2 y=-3/4x-1	$y = x^{2} - 4 x + 2$ $y = - \frac{3}{4} x - 1$
46855	Subtract	(5r)/(r^2-9)-(4r+1)/(r^2-6r+9)	$\frac{5 r}{r^{2} - 9} - \frac{4 r + 1}{r^{2} - 6 r + 9}$
46856	Find dy/dx at (-3,1)	x^2+y^2=2x+y+15 ;, (-3,1)	$x^{2} + y^{2} = 2 x + y + 15$ ;, $(- 3, 1)$
46857	Simplify	(j^2+7j+6)/(12j^3-14j^2-10j)	$\frac{j^{2} + 7 j + 6}{12 j^{3} - 14 j^{2} - 10 j}$
46858	Find the Inverse	f(x)=5(( cube root of x)/6+10)	$f (x) = 5 (\frac{\sqrt[3]{x}}{6} + 10)$
46859	Plot	x+y<=3	$x + y \leq 3$
46860	Evaluate the Limit	limit as x approaches negative infinity of (x^2-25)/(x(x-5))	$lim_{x \to - \infty} \frac{x^{2} - 25}{x (x - 5)}$
46861	Graph	-3x+10<=-2 and -17<-3x+10	$- 3 x + 10 \leq - 2$ and $- 17 < - 3 x + 10$
46862	Find the Maximum/Minimum Value	y=x^3-4x-6	$y = x^{3} - 4 x - 6$
46863	Write as a Single Logarithm	4* log base 4 of a+2* log base 4 of b	$4 \cdot \log_{4} (a) + 2 \cdot \log_{4} (b)$
46864	Find the Derivative - d/dx	log of x^2+y^2	$\log (x^{2} + y^{2})$
46865	Multiply	x(1/x)	$x (\frac{1}{x})$
46866	Solve for x	x^(2/3)=2x^(1/3)	$x^{\frac{2}{3}} = 2 x^{\frac{1}{3}}$
46867	Find the Domain and Range	f(x)=(x^2+5x+4)/(3x^2-12)	$f (x) = \frac{x^{2} + 5 x + 4}{3 x^{2} - 12}$
46868	Find g(f(x))	f(x)=x^2-x+7 g(x)=-2x+14	$f (x) = x^{2} - x + 7$ $g (x) = - 2 x + 14$
46869	Divide Using Long Polynomial Division	(8x^5+6x^4-x^3+1)÷(2x^3-x^2-3)	$(8 x^{5} + 6 x^{4} - x^{3} + 1) \div (2 x^{3} - x^{2} - 3)$
46870	Simplify the Radical Expression	square root of 9^2	$\sqrt{9^{2}}$
46871	Solve for x	log base 3 of 2x^2+2- log base 3 of x+3=0	$\log_{3} (2 x^{2} + 2) - \log_{3} (x + 3) = 0$
46872	Convert from Radians to Degrees	3.5rad	$3.5$ rad
46873	Graph	\|y\|>=x	$\| y \| \geq x$
46874	Evaluate the Limit	limit as x approaches infinity of (x+7)/(x^4+6x)	$lim_{x \to \infty} \frac{(x + 7)}{(x^{4} + 6 x)}$
46875	Solve for w	4w+5+33=90	$4 w + 5 + 33 = 90$
46876	Solve for y	square root of 3y=9	$\sqrt{3 y} = 9$
46877	Solve for θ	1+cos(theta)=0	$1 + \cos (θ) = 0$
46878	Find the Product	(48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)	$\frac{48 x^{5} y^{3}}{y^{4}} \cdot \frac{x^{2} y}{6 x^{3} y^{2}}$
46879	Solve the Absolute Value Inequality for y	20=\|3y-11\|	$20 = \| 3 y - 11 \|$
46880	Find the LCD	8/(x-7) and 1/(x+7)	$\frac{8}{x - 7}$ and $\frac{1}{x + 7}$
46881	Simplify	14-3z+8+z	$14 - 3 z + 8 + z$
46882	Solve the Rational Equation for x	(x-2)^(1/2)-(28-2x)^(1/4)=0	${(x - 2)}^{\frac{1}{2}} - {(28 - 2 x)}^{\frac{1}{4}} = 0$
46883	Solve for x	1/(2 square root of x)=1/2	$\frac{1}{2 \sqrt{x}} = \frac{1}{2}$
46884	Simplify	(x^8y^12)/(x^4y^3z^2)	$\frac{x^{8} y^{12}}{x^{4} y^{3} z^{2}}$
46885	Solve for x	2x-3(2x+2)=1-5(4x+3)	$2 x - 3 (2 x + 2) = 1 - 5 (4 x + 3)$
46886	Simplify	( square root of x+1)( square root of x+1)	$(\sqrt{x + 1}) (\sqrt{x + 1})$
46887	Solve for t	9-1/t=8/(t^2)	$9 - \frac{1}{t} = \frac{8}{t^{2}}$
46888	Solve for x	square root of x = cube root of x	$\sqrt{x} = \sqrt[3]{x}$
46889	Evaluate	(4x^5+11)^2	${(4 x^{5} + 11)}^{2}$
46890	Evaluate the Integral	integral of (-1/x+7e^x) with respect to x	$\int (- \frac{1}{x} + 7 e^{x}) d x$
46891	Solve for θ in Degrees	9cos(theta)^2-24sin(theta)-10=-8sin(theta)+6	$9 \cos^{2} (θ) - 24 \sin (θ) - 10 = - 8 \sin (θ) + 6$
46892	Solve the Inequality for m	-3m>=-27	$- 3 m \geq - 27$
46893	Factor	Factor x^2+4x+3	Factor $x^{2} + 4 x + 3$
46894	Graph	-y<=3x	$- y \leq 3 x$
46895	Evaluate	3/4(4h-6)	$\frac{3}{4} (4 h - 6)$
46896	Evaluate	tan(arccos(-( square root of 3)/2))	$\tan (\arccos (- \frac{\sqrt{3}}{2}))$
46897	Simplify the Radical Expression	cube root of 5^2* fourth root of 5^3	$\sqrt[3]{5^{2}} \cdot \sqrt[4]{5^{3}}$
46898	Solve for x	y=(x-8)(x+8)	$y = (x - 8) (x + 8)$
46899	Find the Equation Using Slope-Intercept Form	m=3 and (0,-6)	$m = 3$ and $(0, - 6)$
46900	Evaluate the Integral	integral from 1 to 27 of ( cube root of x-1/x) with respect to x	$\int_{1}^{27} (\sqrt[3]{x} - \frac{1}{x}) d x$