Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38001	Solve for y	x=( square root of y-14.2)/0.05	$x = \frac{\sqrt{y - 14.2}}{0.05}$
38002	Solve for w	2/(w-5)=6/(3w-15)-4	$\frac{2}{w - 5} = \frac{6}{3 w - 15} - 4$
38003	Evaluate	(45^45*15^15)/(75^30)	$\frac{(45^{45} \cdot 15^{15})}{75^{30}}$
38004	Graph	x^2-4x+2>0	$x^{2} - 4 x + 2 > 0$
38005	Find the Antiderivative	g(x)=x^6-5x^4+9x^2-10	$g (x) = x^{6} - 5 x^{4} + 9 x^{2} - 10$
38006	Solve for y	y=1/4(4)^x for x=5	$y = \frac{1}{4} {(4)}^{x}$ for $x = 5$
38007	Simplify	cos(theta)^2+sin(theta)^2-sec(theta)cos(theta) ?	$\cos^{2} (θ) + \sin^{2} (θ) - \sec (θ) \cos (θ)$ ?
38008	Simplify	(4-2n^4-8n^3)-(7n^3-6+2n^4)	$(4 - 2 n^{4} - 8 n^{3}) - (7 n^{3} - 6 + 2 n^{4})$
38009	Graph	x+y=0 -x+y=-8	$x + y = 0$ $- x + y = - 8$
38010	Simplify	(5^25^3)/(5^35^2)	$\frac{5^{2} \cdot 5^{3}}{5^{3} \cdot 5^{2}}$
38011	Simplify	(50m^3+5m^2+20m)÷10m	$(50 m^{3} + 5 m^{2} + 20 m) \div 10 m$
38012	Evaluate the Function	g(x)=\|x-x^2\| , g(-7)	$g (x) = \| x - x^{2} \|$ , $g (- 7)$
38013	Convert to Radical Form	1/(x^(-3/6))	$\frac{1}{x^{- \frac{3}{6}}}$
38014	Simplify	-4a-3/2(-1/2a+3)	$- 4 a - \frac{3}{2} (- \frac{1}{2} a + 3)$
38015	Evaluate	-7x>10	$- 7 x > 10$
38016	Solve the System of Equations	y=2x^2-5x -5x+y=-12	$y = 2 x^{2} - 5 x$ $- 5 x + y = - 12$
38017	Find the Domain	(x^2+x)^2+(x^2+x)	${(x^{2} + x)}^{2} + (x^{2} + x)$
38018	Evaluate	log base (-2) of 4	$\log_{(- 2)} (4)$
38019	Find the Antiderivative	1/(cos(x)^3)	$\frac{1}{\cos^{3} (x)}$
38020	Simplify	cube root of 2xy^2+ cube root of 16xy^5+ cube root of 2x^4y^2	$\sqrt[3]{2 x y^{2}} + \sqrt[3]{16 x y^{5}} + \sqrt[3]{2 x^{4} y^{2}}$
38021	Factor by Grouping	z^6-9z^3+8	$z^{6} - 9 z^{3} + 8$
38022	Evaluate	cos(pi/4)^2-sin(pi/4)^2	$\cos^{2} (\frac{π}{4}) - \sin^{2} (\frac{π}{4})$
38023	Find the Third Derivative	y=1/6x^-3-1/6x^3-1/3	$y = \frac{1}{6} x^{- 3} - \frac{1}{6} x^{3} - \frac{1}{3}$
38024	Solve for n	log base 2 of n = log base 2 of 2n+6	$\log_{2} (n) = \log_{2} (2 n) + 6$
38025	Simplify	4/( square root of 64)	$\frac{4}{\sqrt{64}}$
38026	Evaluate the Integral	integral from 0 to a of 10x square root of a^2-x^2 with respect to x	$\int_{0}^{a} 10 x \sqrt{a^{2} - x^{2}} d x$
38027	Rationalize the Denominator	square root of (2a)/(3b)	$\sqrt{\frac{2 a}{3 b}}$
38028	Simplify	(80^(1/4))/(5^(-1/4))	$\frac{80^{\frac{1}{4}}}{5^{\frac{- 1}{4}}}$
38029	Solve for x	(16/25)^(x^2+x)=1	${(\frac{16}{25})}^{x^{2} + x} = 1$
38030	Find All Complex Solutions	(x-3)(x+2)=0	$(x - 3) (x + 2) = 0$
38031	Solve the Inequality for y	1/2y<=-3	$\frac{1}{2} y \leq - 3$
38032	Find the Difference Quotient	F(x)=-6x+2	$F (x) = - 6 x + 2$
38033	Write in Exponential Form	(x^6)/(4^7 square root of y^4)	$\frac{x^{6}}{4^{7} \sqrt{y^{4}}}$
38034	Find the Asymptotes	(3(3x-8)(x-3))/(x(2x+5))	$\frac{3 (3 x - 8) (x - 3)}{x (2 x + 5)}$
38035	Simplify	cube root of 64^27	$\sqrt[3]{64^{27}}$
38036	Evaluate	-9+(8^2)÷(-4)	$- 9 + 8^{2} \div (- 4)$
38037	Simplify	cube root of 16* cube root of 8	$\sqrt[3]{16} \cdot \sqrt[3]{8}$
38038	Divide	6 , 394÷42	$6$ , $394 \div 42$
38039	Evaluate	2sin(x) = square root of 2	$2 \sin (x) = \sqrt{2}$
38040	Find the Derivative - d/dx	- square root of 4-x	$- \sqrt{4 - x}$
38041	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,1) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(8, 1)$ and has a slope of $- \frac{3}{4}$ ?
38042	Evaluate the Integral	integral of (6x+x) with respect to x	$\int (6 x + x) d x$
38043	Divide	( cube root of 4x^2)/( cube root of x)	$\frac{\sqrt[3]{4 x^{2}}}{\sqrt[3]{x}}$
38044	Evaluate the Integral	integral of [5x+2/(3x^5)] with respect to x	$\int [5 x + \frac{2}{3 x^{5}}] d x$
38045	Divide	(2x^3+11x^2-20)÷(x^2+x-2)	$(2 x^{3} + 11 x^{2} - 20) \div (x^{2} + x - 2)$
38046	Simplify	7(5)^(5/3)+49(5)^(2/3)	$7 {(5)}^{\frac{5}{3}} + 49 {(5)}^{\frac{2}{3}}$
38047	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+7x^2+5x+1 is divided by 2x+1	Use the long division method to find the result when $2 x^{3} + 7 x^{2} + 5 x + 1$ is divided by $2 x + 1$
38048	Find the GCF	y^6+y^4+y^2	$y^{6} + y^{4} + y^{2}$
38049	Write as a Single Logarithm	3/4( natural log of a+ natural log of b)	$\frac{3}{4} (\ln (a) + \ln (b))$
38050	Multiply	(1+i)(1+i)	$(1 + i) (1 + i)$
38051	Simplify the Radical Expression	(16x^8yz^12)^(1/4)	${(16 x^{8} y z^{12})}^{\frac{1}{4}}$
38052	Solve the Function Operation	Given that f(x)=x^2+3x-28 and g(x)=x+7 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 28$ and $g (x) = x + 7$ ; find $f (x) - g (x)$ and express the result in standard form.
38053	Describe the Transformation	f(x) = cube root of x , g(x)=- cube root of x-1	$f (x) = \sqrt[3]{x}$ , $g (x) = - \sqrt[3]{x} - 1$
38054	Solve for x	5( square root of x-2+1)=15	$5 (\sqrt{x - 2} + 1) = 15$
38055	Evaluate	( square root of a square root of b)/( seventh root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[7]{a b}}$
38056	Write in Standard Form	-2/3p+1/5-1+5/6p	$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$
38057	Simplify	2((x+12+5+5)+(x+5+5))	$2 ((x + 12 + 5 + 5) + (x + 5 + 5))$
38058	Solve the Absolute Value Inequality for x	\|2x+3\|+4<5	$\| 2 x + 3 \| + 4 < 5$
38059	Rationalize the Denominator	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
38060	Simplify	7c^3*d^-2	$7 c^{3} \cdot d^{- 2}$
38061	Multiply	(1-1/2)(1-1/3)(1-1/4)*(1-1/5)	$(1 - \frac{1}{2}) \cdot (1 - \frac{1}{3}) \cdot (1 - \frac{1}{4}) \cdot (1 - \frac{1}{5})$
38062	Evaluate the Integral	integral from 1 to infinity of (x^2)/((x^3+2)^2) with respect to x	$\int_{1}^{\infty} \frac{x^{2}}{{(x^{3} + 2)}^{2}} d x$
38063	Multiply	2 square root of 8b^3*9 square root of 18b	$2 \sqrt{8 b^{3}} \cdot 9 \sqrt{18 b}$
38064	Find the Degree, Leading Term, and Leading Coefficient	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
38065	Solve for n	(n^2-1)/(3n^2)=0.3325	$\frac{n^{2} - 1}{3 n^{2}} = 0.3325$
38066	Find the Derivative - d/dx	(1+e^x)^2	${(1 + e^{x})}^{2}$
38067	Add	(1/2x-3)+(1/6x+1)	$(\frac{1}{2} x - 3) + (\frac{1}{6} x + 1)$
38068	Simplify	(2+3)^2+8/2	${(2 + 3)}^{2} + \frac{8}{2}$
38069	Simplify	(6x)/(x-3)+4/((x-3)^2)	$\frac{6 x}{x - 3} + \frac{4}{{(x - 3)}^{2}}$
38070	Evaluate	1/(e^0)	$\frac{1}{e^{0}}$
38071	Graph	y=-x/3-3/2	$y = - \frac{x}{3} - \frac{3}{2}$
38072	Evaluate the Function	g(-x)=-x^2	$g (- x) = - x^{2}$
38073	Simplify	(-(3a^3b^4)/2)^2	${(- \frac{3 a^{3} b^{4}}{2})}^{2}$
38074	Evaluate	( square root of -0.01+1-1)/-0.01	$\frac{\sqrt{- 0.01 + 1} - 1}{- 0.01}$
38075	Evaluate Using the Given Value	20x if x=1/2	$20 x$ if $x = \frac{1}{2}$
38076	Find dy/dx	y^3+2x=x^2-2+y^2	$y^{3} + 2 x = x^{2} - 2 + y^{2}$
38077	Simplify the Radical Expression	(8^3)^(1/3)	${(8^{3})}^{\frac{1}{3}}$
38078	Find the Derivative - d/dh	limit as h approaches 0 of ((8+h)^(1/3)-2)/h	$lim_{h \to 0} \frac{{(8 + h)}^{\frac{1}{3}} - 2}{h}$
38079	Simplify	(1/3)^6(-12(1/3)^9)(1/3)^4	${(\frac{1}{3})}^{6} (- 12 {(\frac{1}{3})}^{9}) {(\frac{1}{3})}^{4}$
38080	Multiply	(4x^3+x)(2x^2-1)(6x-3)	$(4 x^{3} + x) (2 x^{2} - 1) (6 x - 3)$
38081	Graph	2y^2	$2 y^{2}$
38082	Evaluate	(4-2x)(4+2x)	$(4 - 2 x) (4 + 2 x)$
38083	Evaluate	(x^-8)/(x^4y^4y^-3)	$\frac{x^{- 8}}{x^{4} y^{4} y^{- 3}}$
38084	Solve the System of Equations	x=-4 y=1/2x+7	$x = - 4$ $y = \frac{1}{2} x + 7$
38085	Solve the Inequality for x	-2 square root of x+1<=-4	$- 2 \sqrt{x + 1} \leq - 4$
38086	Evaluate	1e+6	$1 e + 6$
38087	Solve the Inequality for x	6x-(2x+3)>4x-5	$6 x - (2 x + 3) > 4 x - 5$
38088	Simplify	square root of 6ay* square root of 18a*1/y	$\sqrt{6 a y} \cdot \sqrt{18 a} \cdot \frac{1}{y}$
38089	Factor	ab+2b+b^2	$a b + 2 b + b^{2}$
38090	Evaluate	2 3/7-5 6/7	$2 \frac{3}{7} - 5 \frac{6}{7}$
38091	Simplify	((2d)^0)÷((d^2e^-4)^-1)	${(2 d)}^{0} \div {(d^{2} e^{- 4})}^{- 1}$
38092	Solve the Inequality for m	6-2\|m-3\|>-4	$6 - 2 \| m - 3 \| > - 4$
38093	Simplify the Radical Expression	- cube root of 125	$- \sqrt[3]{125}$
38094	Find the Derivative - d/dx	y=sin(sin(pix))^2	$y = \sin^{2} (\sin (π x))$
38095	Write in Exponential Form	square root of square root of 4	$\sqrt{\sqrt{4}}$
38096	Evaluate	((-3/4)^5)^2	${({(- \frac{3}{4})}^{5})}^{2}$
38097	Simplify	1/(x^3)-x/3	$\frac{1}{x^{3}} - \frac{x}{3}$
38098	Integrate Using u-Substitution	integral of x^3 square root of 1-x^2 with respect to x	$\int x^{3} \sqrt{1 - x^{2}} d x$
38099	Simplify	4x^3 square root of 64x^5	$4 x^{3} \sqrt{64 x^{5}}$
38100	Find the Domain and Range	y=-3(1/2)^(x-4)+1	$y = - 3 {(\frac{1}{2})}^{x - 4} + 1$