Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15801	Factor	x^2y+8y+7x^2+56	$x^{2} y + 8 y + 7 x^{2} + 56$
15802	Find the Asymptotes	(x+3)/(2x^2-98)	$\frac{x + 3}{2 x^{2} - 98}$
15803	Solve the Rational Equation for x	(x-2)^(2/3)=9	${(x - 2)}^{\frac{2}{3}} = 9$
15804	Describe the Transformation	y = cube root of -8x-4	$y = \sqrt[3]{- 8 x - 4}$
15805	Solve for c	cube root of c=2	$\sqrt[3]{c} = 2$
15806	Integrate Using u-Substitution	integral of cos(theta)^3sin(theta) with respect to theta	$\int \cos^{3} (θ) \sin (θ) d θ$
15807	Graph Using a Table of Values	y=3*2^(x-2)+2	$y = 3 \cdot 2^{x - 2} + 2$
15808	Add	(2x+3)/(x+4)+(x-1)/(x^2+2x-8)	$\frac{2 x + 3}{x + 4} + \frac{x - 1}{x^{2} + 2 x - 8}$
15809	Solve by Substitution	-3x-3y=3 and y=-5x-17	$- 3 x - 3 y = 3$ and $y = - 5 x - 17$
15810	Solve for x	2* log base 2 of 3x-7=10	$2 \cdot \log_{2} (3 x - 7) = 10$
15811	Solve for x	2^(x^2+x+0.5)=4 square root of 2	$2^{x^{2} + x + 0.5} = 4 \sqrt{2}$
15812	Solve for x	square root of (x+1)^2=x+1	$\sqrt{{(x + 1)}^{2}} = x + 1$
15813	Simplify	((ab^2)^3)/(ab)	$\frac{{(a b^{2})}^{3}}{a b}$
15814	Simplify	cube root of x^2* square root of x	$\sqrt[3]{x^{2}} \cdot \sqrt{x}$
15815	Find the Degree	7p^5-p/10+p^4	$7 p^{5} - \frac{p}{10} + p^{4}$
15816	Solve the Function Operation	let f(x)=-5x-4 and g(x)=6x-7 find f(x)+g(x)	let $f (x) = - 5 x - 4$ and $g (x) = 6 x - 7$ find $f (x) + g (x)$
15817	Find the Derivative - d/dx	natural log of x^2 square root of 1+x^2	$\ln (x^{2} \sqrt{1 + x^{2}})$
15818	Evaluate	(3.100079.4410.0301)÷2.31	$3.10007 \times 9.441 \times 0.0301 \div 2.31$
15819	Solve for x	10/((x-5)(x+1))+x/(x+1)=3/(x-5)	$\frac{10}{(x - 5) (x + 1)} + \frac{x}{x + 1} = \frac{3}{x - 5}$
15820	Evaluate the Integral	integral from 0 to 2 of x^2 square root of 1+x^3 with respect to x	$\int_{0}^{2} x^{2} \sqrt{1 + x^{3}} d x$
15821	Simplify	(2x^0y)(-3xy^5)	$(2 x^{0} y) (- 3 x y^{5})$
15822	Simplify	( square root of 1/2)( square root of 3/5)	$(\sqrt{\frac{1}{2}}) (\sqrt{\frac{3}{5}})$
15823	Simplify	(xy)/( cube root of z)	$\frac{x y}{\sqrt[3]{z}}$
15824	Simplify	(3k^3)/( square root of 18k)	$\frac{3 k^{3}}{\sqrt{18 k}}$
15825	Find dy/dx	4+x-y^2=-x^3y	$4 + x - y^{2} = - x^{3} y$
15826	Find the GCF	12x and 3	$12 x$ and $3$
15827	Solve for x	-2x-5=2-4x-(x-1)	$- 2 x - 5 = 2 - 4 x - (x - 1)$
15828	Simplify the Radical Expression	( square root of a+1-2)/( square root of a+1+2)	$\frac{\sqrt{a + 1} - 2}{\sqrt{a + 1} + 2}$
15829	Solve for k	cube root of 5x^(k+1)* cube root of 25x^k=5x^7	$\sqrt[3]{5 x^{k + 1}} \cdot \sqrt[3]{25 x^{k}} = 5 x^{7}$
15830	Simplify	3i(2+5i)+(6-7i)-(9+i)	$3 i (2 + 5 i) + (6 - 7 i) - (9 + i)$
15831	Solve for r	e=v+ir	$e = v + i r$
15832	Find the Derivative - d/dx	(x-1)*e^x	$(x - 1) \cdot e^{x}$
15833	Find the Antiderivative	x-sin(2x)	$x - \sin (2 x)$
15834	Multiply	(6a^2)/(5b^2)*(45b^3)/(18a^3)	$\frac{6 a^{2}}{5 b^{2}} \cdot \frac{45 b^{3}}{18 a^{3}}$
15835	Evaluate	sin(theta)>0	$\sin (θ) > 0$
15836	Find the Asymptotes	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
15837	Simplify	((a^3-27)/(a^2-9))/((a^2+3a+9)/(a+3))	$\frac{\frac{a^{3} - 27}{a^{2} - 9}}{\frac{a^{2} + 3 a + 9}{a + 3}}$
15838	Find the Derivative - d/dx	(-cos(x))	$(- \cos (x))$
15839	Simplify	x+12+x+12+14	$x + 12 + x + 12 + 14$
15840	Solve for x	7x+(3x)/2=-17	$7 x + \frac{3 x}{2} = - 17$
15841	Convert to Radical Form	(27/125)^(-1/3)	${(\frac{27}{125})}^{- \frac{1}{3}}$
15842	Solve the Inequality for x	y>x+3	$y > x + 3$
15843	Simplify	2sin(17 degrees )cos(17 degrees )	$2 \sin (17 °) \cos (17 °)$
15844	Solve the System of Equations	y=3x^2-1 y=2x^2+3x+3	$y = 3 x^{2} - 1$ $y = 2 x^{2} + 3 x + 3$
15845	Evaluate	5÷5+1+6÷6	$5 \div 5 + 1 + 6 \div 6$
15846	Multiply	1/2*( square root of 2)/2	$\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
15847	Solve the Rational Equation for x	x+ square root of x^2+3=3x	$x + \sqrt{x^{2} + 3} = 3 x$
15848	Divide	(40m^3n^4-24m^2n^7)/(8m^2n^5)	$\frac{40 m^{3} n^{4} - 24 m^{2} n^{7}}{8 m^{2} n^{5}}$
15849	Solve for x	x/(x-4)-4/(x+5)=36/((x-4)(x+5))	$\frac{x}{x - 4} - \frac{4}{x + 5} = \frac{36}{(x - 4) (x + 5)}$
15850	Solve for y	-3y+1/2x=-6	$- 3 y + \frac{1}{2} x = - 6$
15851	Solve for x	2x = square root of 100-12x-2	$2 x = \sqrt{100 - 12 x} - 2$
15852	Solve for x	x^2+3x+2x+6=0	$x^{2} + 3 x + 2 x + 6 = 0$
15853	Solve the Inequality for w	3>=(9-w)/3>1	$3 \geq \frac{9 - w}{3} > 1$
15854	Evaluate	1/3x+3/4+2/3x-1/4-2/3x	$\frac{1}{3} x + \frac{3}{4} + \frac{2}{3} x - \frac{1}{4} - \frac{2}{3} x$
15855	Simplify	-5x^2+7x+1 from 8x^2+x-10	$- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
15856	Solve the Rational Equation for x	3 square root of x+3=15	$3 \sqrt{x} + 3 = 15$
15857	Simplify	(3m^-4)/(n^-8)	$\frac{3 m^{- 4}}{n^{- 8}}$
15858	Find the Second Term	a_n=((n+1)!)/(n+1)	$a_{n} = \frac{(n + 1)!}{n + 1}$
15859	Simplify	1/4(3c^4d^9)(8d)	$\frac{1}{4} (3 c^{4} d^{9}) (8 d)$
15860	Solve for x	2 log of (2x)^4=16	$2 \log ({(2 x)}^{4}) = 16$
15861	Simplify	(a^6b^(1/2))^6 sixth root of b^6	${(a^{6} b^{\frac{1}{2}})}^{6} \sqrt[6]{b^{6}}$
15862	Multiply	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
15863	Simplify	cube root of 16a^3b^4c^5d^6e^2	$\sqrt[3]{16 a^{3} b^{4} c^{5} d^{6} e^{2}}$
15864	Solve for x	square root of 2x^2+17x=3	$\sqrt{2 x^{2} + 17 x} = 3$
15865	Evaluate the Limit	limit as x approaches -2 of (2x^2+3x+1)^4	$lim_{x \to - 2} {(2 x^{2} + 3 x + 1)}^{4}$
15866	Verify the Identity	x^2-14x+49=(x-7)^2	$x^{2} - 14 x + 49 = {(x - 7)}^{2}$
15867	Simplify	(36x^5)/(18x^2-27x^3)	$\frac{36 x^{5}}{18 x^{2} - 27 x^{3}}$
15868	Evaluate	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
15869	Add	( square root of 2)/2+( square root of 2)/2	$\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}$
15870	Graph	f(x)=(3x^2)/(x-1)	$f (x) = \frac{3 x^{2}}{x - 1}$
15871	Find the Antiderivative	natural log of x+ square root of x^2+1	$\ln (x + \sqrt{x^{2} + 1})$
15872	Solve for x	2sin(pi/4-x)+ square root of 3=0	$2 \sin (\frac{π}{4} - x) + \sqrt{3} = 0$
15873	Graph	y=-1/2sin(2x+2/3pi)	$y = - \frac{1}{2} \sin (2 x + \frac{2}{3} π)$
15874	Solve the Inequality for x	-x^2-14x-80>=4x	$- x^{2} - 14 x - 80 \geq 4 x$
15875	Solve the Rational Equation for x	square root of x- square root of x-5=-1	$\sqrt{x} - \sqrt{x - 5} = - 1$
15876	Find the Antiderivative	f(x)=(x^6-x)/(x^3)	$f (x) = \frac{x^{6} - x}{x^{3}}$
15877	Graph	y>=2x^2 y<-x^2+1	$y \geq 2 x^{2}$ $y < - x^{2} + 1$
15878	Subtract	(7w^4-3wz+8wz^2)-(3w^4+2wz-6wz^2)	$(7 w^{4} - 3 w z + 8 w z^{2}) - (3 w^{4} + 2 w z - 6 w z^{2})$
15879	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+8x^2+21x+30 is divided by x+5	Use synthetic division to find the result when $x^{3} + 8 x^{2} + 21 x + 30$ is divided by $x + 5$
15880	Simplify	fourth root of (x^3)/8	$\sqrt[4]{\frac{x^{3}}{8}}$
15881	Solve for c	12+1/5(10c+5)=59	$12 + \frac{1}{5} (10 c + 5) = 59$
15882	Simplify	(6xy^(3/4))/(3x^(1/2)y^(1/2))	$\frac{6 x y^{\frac{3}{4}}}{3 x^{\frac{1}{2}} y^{\frac{1}{2}}}$
15883	Solve the Inequality for x	-3x+5x-2>-4x+1	$- 3 x + 5 x - 2 > - 4 x + 1$
15884	Solve for x	3x-8>=4(x-1.5)	$3 x - 8 \geq 4 (x - 1.5)$
15885	Graph	x>2 y<=-1/2x-2	$x > 2$ $y \leq - \frac{1}{2} x - 2$
15886	Solve for x	log of 7-x- log of 3x+2=1	$\log (7 - x) - \log (3 x + 2) = 1$
15887	Solve for w	15=6+ square root of 3w-9	$15 = 6 + \sqrt{3 w - 9}$
15888	Write as a Single Logarithm	2/3* log base 2 of 27+5/2* log base 2 of 4	$\frac{2}{3} \cdot \log_{2} (27) + \frac{5}{2} \cdot \log_{2} (4)$
15889	Simplify	3(2x^6y^7)^4	$3 {(2 x^{6} y^{7})}^{4}$
15890	Find the Antiderivative	f(x)=sin(x)^2+cos(x)^2	$f (x) = \sin^{2} (x) + \cos^{2} (x)$
15891	Simplify	(i-2)^3-(i-2)	${(i - 2)}^{3} - (i - 2)$
15892	Solve for y	(2y-2)/(y+3)+(y+3)/(y-3)=5	$\frac{2 y - 2}{y + 3} + \frac{y + 3}{y - 3} = 5$
15893	Simplify the Matrix	[[0,0],[0,0]]-[[x,y],[z,w]]	$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] - [\begin{array}{c} x & y \\ z & w \end{array}]$
15894	Graph	x+2y<=3 y>=-2x+1	$x + 2 y \leq 3$ $y \geq - 2 x + 1$
15895	Find All Complex Solutions	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
15896	Find the Degree, Leading Term, and Leading Coefficient	1/3+x	$\frac{1}{3} + x$
15897	Solve Using the Quadratic Formula	x^2+6x=-x+30	$x^{2} + 6 x = - x + 30$
15898	Simplify	3/(4x)*(2x^2)/9	$\frac{3}{4 x} \cdot \frac{2 x^{2}}{9}$
15899	Evaluate	1/2(7-3(6+1))	$\frac{1}{2} (7 - 3 (6 + 1))$
15900	Graph	y=1/3x^3-x^2-4/3	$y = \frac{1}{3} x^{3} - x^{2} - \frac{4}{3}$