Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15401	Expand the Logarithmic Expression	log of a^4b^3c^2d	$\log (a^{4} b^{3} c^{2} d)$
15402	Simplify	( cube root of 27x^3y)( cube root of x^3y)	$(\sqrt[3]{27 x^{3} y}) (\sqrt[3]{x^{3} y})$
15403	Simplify	((x-y)^2)/(2xy+6y)*(4x+12)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{2 x y + 6 y} \cdot \frac{(4 x + 12)}{x^{2} - y^{2}}$
15404	Find the Inverse	f(x) = cube root of 9+x+3	$f (x) = \sqrt[3]{9 + x} + 3$
15405	Solve for u	u(u-5)+8u=u(u+2)-4	$u (u - 5) + 8 u = u (u + 2) - 4$
15406	Find the Derivative - d/dy	natural log of x+ square root of x^2+y^2	$\ln (x + \sqrt{x^{2} + y^{2}})$
15407	Solve for x	(x-1)/(x+3)-2/(x+3)=-3	$\frac{x - 1}{x + 3} - \frac{2}{x + 3} = - 3$
15408	Solve for x	(p^(10x^2))/(p^(5x))=(p^-20)^x	$\frac{p^{10 x^{2}}}{p^{5 x}} = {(p^{- 20})}^{x}$
15409	Multiply	8xy(x+8y)	$8 x y (x + 8 y)$
15410	Solve for x	x/3+(5x)/6=1	$\frac{x}{3} + \frac{5 x}{6} = 1$
15411	Combine Like Terms	15w-w-3w-5	$15 w - w - 3 w - 5$
15412	Find dy/dx	-2y-5x^3+2x^2-3=-y^3	$- 2 y - 5 x^{3} + 2 x^{2} - 3 = - y^{3}$
15413	Solve for y	x/(y^3)=1	$\frac{x}{y^{3}} = 1$
15414	Find the Antiderivative	e^x*sin(x)	$e^{x} \cdot \sin (x)$
15415	Simplify	(f^2-3f)/f-(3f^2+6f)/(3f)	$\frac{f^{2} - 3 f}{f} - \frac{3 f^{2} + 6 f}{3 f}$
15416	Subtract	a/(12b)-b/(8a)	$\frac{a}{12 b} - \frac{b}{8 a}$
15417	Find the Exact Value	square root of 45- square root of 20+ square root of 125	$\sqrt{45} - \sqrt{20} + \sqrt{125}$
15418	Solve by Addition/Elimination	a+b=4 a-b=10	$a + b = 4$ $a - b = 10$
15419	Evaluate	((6-3)^3-2)/(-5^2)	$\frac{{(6 - 3)}^{3} - 2}{- 5^{2}}$
15420	Write the Fraction in Simplest Form	(-27x^-9)^(1/3)	${(- 27 x^{- 9})}^{\frac{1}{3}}$
15421	Simplify	((3r^-2s)/(t^-1))^-1	${(\frac{3 r^{- 2} s}{t^{- 1}})}^{- 1}$
15422	Graph	y=2x-3 x+y=-6	$y = 2 x - 3$ $x + y = - 6$
15423	Find the Quotient	(x^4-12x^2-8)÷(x+3)	$(x^{4} - 12 x^{2} - 8) \div (x + 3)$
15424	Simplify	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \cdot 10^{- 7}}$
15425	Simplify	(x^2+2x-35)/(-x-5)(4x^3+24x^2+20x)/(x^3+12x^2+35x)(x^2+13x+40)/(x^2+9x+8)	$\frac{x^{2} + 2 x - 35}{- x - 5} \cdot \frac{4 x^{3} + 24 x^{2} + 20 x}{x^{3} + 12 x^{2} + 35 x} \cdot \frac{x^{2} + 13 x + 40}{x^{2} + 9 x + 8}$
15426	Find the Exact Value	csc((1pi)/6)	$\csc (\frac{1 π}{6})$
15427	Simplify	square root of 8+ square root of 20- square root of 12	$\sqrt{8} + \sqrt{20} - \sqrt{12}$
15428	Evaluate	7/3+1/2-5/6	$\frac{7}{3} + \frac{1}{2} - \frac{5}{6}$
15429	Solve for x	square root of x+5-2=7	$\sqrt{x + 5 - 2} = 7$
15430	Simplify	(2+3 square root of 7)	$(2 + 3 \sqrt{7})$
15431	Solve for x	3(x+4)-5(x-1)<5	$3 (x + 4) - 5 (x - 1) < 5$
15432	Convert to Interval Notation	z-18>=-2/3	$z - 18 \geq - \frac{2}{3}$
15433	Simplify	(-6x^2y)^3(xy^5z^0)	${(- 6 x^{2} y)}^{3} (x y^{5} z^{0})$
15434	Solve for x	square root of x+2-3=2x	$\sqrt{x + 2} - 3 = 2 x$
15435	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of square root of (x+2020)(x+2021)-x	$lim_{x \to \infty} \sqrt{(x + 2020) (x + 2021)} - x$
15436	Find dy/dx	y = square root of 2^x+2e^x	$y = \sqrt{2^{x} + 2 e^{x}}$
15437	Simplify	square root of 100x^4* cube root of 27x^12	$\sqrt{100 x^{4}} \cdot \sqrt[3]{27 x^{12}}$
15438	Write in Standard Form	7y^3-3y+5y^3-2y+7	$7 y^{3} - 3 y + 5 y^{3} - 2 y + 7$
15439	Multiply	30i*(-7i-1)	$30 i \cdot (- 7 i - 1)$
15440	Solve the Inequality for x	-3x+2x<=6	$- 3 x + 2 x \leq 6$
15441	Evaluate the Integral	integral of (6x)/( square root of 100-x^4) with respect to x	$\int \frac{6 x}{\sqrt{100 - x^{4}}} d x$
15442	Solve for x	x-1/2=1 1/4	$x - \frac{1}{2} = 1 \frac{1}{4}$
15443	Find the Equation Using Point-Slope Formula	(4,7) and (5,1)	$(4, 7)$ and $(5, 1)$
15444	Simplify	12x+4y-3x+2-8y^2+3^2	$12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}$
15445	Solve the Inequality for x	x/4-1/20<=x/5+1	$\frac{x}{4} - \frac{1}{20} \leq \frac{x}{5} + 1$
15446	Find the Equation Using Two Points	(1,4) and (6,-1)	$(1, 4)$ and $(6, - 1)$
15447	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3-4x^2-16x-7 is divided by x+1	Use synthetic division to find the result when $x^{4} + 6 x^{3} - 4 x^{2} - 16 x - 7$ is divided by $x + 1$
15448	Solve for x	1/3(x-6)>2	$\frac{1}{3} (x - 6) > 2$
15449	Solve for n	(n+4)^(1/2)=(-2-2n)^(1/2)	${(n + 4)}^{\frac{1}{2}} = {(- 2 - 2 n)}^{\frac{1}{2}}$
15450	Graph	y>=4xy	$y \geq 4 x y$
15451	Simplify	square root of 2x( square root of 2+ square root of x)	$\sqrt{2 x} (\sqrt{2} + \sqrt{x})$
15452	Solve the Function Operation	Given that f(x)=x^2-3x-40 and g(x)=x+5 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 40$ and $g (x) = x + 5$ ; find $(f + g) (x)$ and express the result in standard form.
15453	Divide	( cube root of 3)÷( square root of 3)	$\sqrt[3]{3} \div \sqrt{3}$
15454	Find dy/dx	3y^3+1+x=x^3y	$3 y^{3} + 1 + x = x^{3} y$
15455	Solve the System of Equations	y=x-6 y=x+2	$y = x - 6$ $y = x + 2$
15456	Graph	theta=2pi	$θ = 2 π$
15457	Solve the Inequality for x	\|(x-1)/(x+2)\|<=1	$\| \frac{x - 1}{x + 2} \| \leq 1$
15458	Evaluate	pi/2*2pi	$\frac{π}{2} \cdot 2 π$
15459	Evaluate	1/2(4x-10)+5=x-11	$\frac{1}{2} (4 x - 10) + 5 = x - 11$
15460	Find the Domain and Range	y=1/2 square root of x+5	$y = \frac{1}{2} \sqrt{x + 5}$
15461	Convert from Radians to Degrees	(8pi)/3rad	$\frac{8 π}{3}$ rad
15462	Evaluate	(6+6^2-4)÷2	$(6 + 6^{2} - 4) \div 2$
15463	Simplify	4/(3x^2)*(3x^3)/5	$\frac{4}{3 x^{2}} \cdot \frac{3 x^{3}}{5}$
15464	Evaluate	((q^4)^-3)/(q^-15)	$\frac{{(q^{4})}^{- 3}}{q^{- 15}}$
15465	Simplify	square root of 36x* fourth root of 81x^10	$\sqrt{36 x} \cdot \sqrt[4]{81 x^{10}}$
15466	Simplify	square root of 8(x+y)^3- square root of 32(x+y)^3	$\sqrt{8 {(x + y)}^{3}} - \sqrt{32 {(x + y)}^{3}}$
15467	Solve for x	x+3=3/2x+2	$x + 3 = \frac{3}{2} x + 2$
15468	Find the Antiderivative	3x^2*sin(x^3+2003)	$3 x^{2} \cdot \sin (x^{3} + 2003)$
15469	Simplify	square root of -4* square root of 27	$\sqrt{- 4} \cdot \sqrt{27}$
15470	Combine Like Terms	3+4n+1-3n	$3 + 4 n + 1 - 3 n$
15471	Divide	(-5x^2y^3z^4)/(15x^4y^2z^4)	$\frac{- 5 x^{2} y^{3} z^{4}}{15 x^{4} y^{2} z^{4}}$
15472	Simplify	i^2*i^2	$i^{2} \cdot i^{2}$
15473	Convert to Radical Form	(x)^(2/3)	${(x)}^{\frac{2}{3}}$
15474	Solve for x	-5\|x\|=25	$- 5 \| x \| = 25$
15475	Evaluate the Limit	limit as x approaches -1 of (1/(x+3)+3/(x-5))/(x+1)	$lim_{x \to - 1} \frac{\frac{1}{x + 3} + \frac{3}{x - 5}}{x + 1}$
15476	Evaluate the Integral	integral from 1 to 4 of (3-\|x-3\|) with respect to x	$\int_{1}^{4} (3 - \| x - 3 \|) d x$
15477	Solve for x	-2(x+6)+3=-11x+4(x+4)	$- 2 (x + 6) + 3 = - 11 x + 4 (x + 4)$
15478	Graph	cos(theta)<0 , tan(theta)<0	$\cos (θ) < 0$ , $\tan (θ) < 0$
15479	Simplify	(5x^2-7-2(2x^2+1))/(x-3)	$\frac{5 x^{2} - 7 - 2 (2 x^{2} + 1)}{x - 3}$
15480	Find dx/dy	y=((3x-1)/(x^2+3))^2	$y = {(\frac{3 x - 1}{x^{2} + 3})}^{2}$
15481	Graph Using a Table of Values	y=2 cube root of x-3+1	$y = 2 \sqrt[3]{x - 3} + 1$
15482	Divide	(8x^8-12x^6)/(-4x^8)	$\frac{8 x^{8} - 12 x^{6}}{- 4 x^{8}}$
15483	Simplify	(15x^3z^-5)/(25y^-4)	$\frac{15 x^{3} z^{- 5}}{25 y^{- 4}}$
15484	Factor	81^7-27^9-9^13	$81^{7} - 27^{9} - 9^{13}$
15485	Solve for n	the sum of a number and 5 is 12	the sum of a number and $5$ is $12$
15486	Solve for x	3=11-(4-6x)^(1/2)	$3 = 11 - {(4 - 6 x)}^{\frac{1}{2}}$
15487	Evaluate	sec((3pi)/4)^2-1	$\sec^{2} (\frac{3 π}{4}) - 1$
15488	Simplify	6 cube root of 11- square root of 11-4 square root of 11	$6 \sqrt[3]{11} - \sqrt{11} - 4 \sqrt{11}$
15489	Solve for x	(2x+3)^3-7=1	${(2 x + 3)}^{3} - 7 = 1$
15490	Find the Domain and Range	y=tan(x-pi/2)	$y = \tan (x - \frac{π}{2})$
15491	Simplify	3 square root of -25+4	$3 \sqrt{- 25} + 4$
15492	Solve for R	R=( sixth root of 25* fourth root of 25* cube root of 25)/(5* fifth root of 25*20 root of 25)	$R = \frac{\sqrt[6]{25} \cdot \sqrt[4]{25} \cdot \sqrt[3]{25}}{5 \cdot \sqrt[5]{25} \cdot \sqrt[20]{25}}$
15493	Solve for y	y/3=-7x	$\frac{y}{3} = - 7 x$
15494	Simplify	5 square root of 3a^2*4 square root of 25a^4	$5 \sqrt{3 a^{2}} \cdot 4 \sqrt{25 a^{4}}$
15495	Graph	\|x+y\|>=3	$\| x + y \| \geq 3$
15496	Simplify the Radical Expression	( sixth root of 4x)/( sixth root of 16x^5)	$\frac{\sqrt[6]{4 x}}{\sqrt[6]{16 x^{5}}}$
15497	Solve for a	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
15498	Simplify	(2x)(3x^2)(x)	$(2 x) (3 x^{2}) (x)$
15499	Graph	graph y=-2	graph $y = - 2$
15500	Simplify	( square root of 10x^3y^11)/( square root of 10x^3y^2)	$\frac{\sqrt{10 x^{3} y^{11}}}{\sqrt{10 x^{3} y^{2}}}$