Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22401	Simplify	2/(5+2 square root of 6)	$\frac{2}{5 + 2 \sqrt{6}}$
22402	Divide Using Long Polynomial Division	(2x^3+8x^2+3)÷(x^2+2x-1)	$(2 x^{3} + 8 x^{2} + 3) \div (x^{2} + 2 x - 1)$
22403	Solve for x	1/6-5/(6x)=-1/(4x)	$\frac{1}{6} - \frac{5}{6 x} = - \frac{1}{4 x}$
22404	Simplify	(72x^2)/(25y^5)*(-(2.5y^4)/(27x^5))	$\frac{72 x^{2}}{25 y^{5}} \times (- \frac{2.5 y^{4}}{27 x^{5}})$
22405	Evaluate	(e^x-e^(-x))^2	${(e^{x} - e^{- x})}^{2}$
22406	Solve Using the Quadratic Formula	5x^2+bx+12=0	$5 x^{2} + b x + 12 = 0$
22407	Find the Derivative - d/dx	(4x^2-3)^2(x+5)^3	${(4 x^{2} - 3)}^{2} {(x + 5)}^{3}$
22408	Simplify	2(x-8)<10	$2 (x - 8) < 10$
22409	Rationalize the Denominator	-6/(-9- square root of 13)	$\frac{- 6}{- 9 - \sqrt{13}}$
22410	Solve for m	cube root of 4m+1-2=2	$\sqrt[3]{4 m + 1} - 2 = 2$
22411	Solve for x	6x-14-4x=12x+8-6x+10	$6 x - 14 - 4 x = 12 x + 8 - 6 x + 10$
22412	Find dy/dx	-xy+2y+5x^2=-4	$- x y + 2 y + 5 x^{2} = - 4$
22413	Find Amplitude, Period, and Phase Shift	y=-1/2sin((3x)/2)	$y = - \frac{1}{2} \sin (\frac{3 x}{2})$
22414	Solve for x	-7/4+(2x+1)/x=-3/(4x)	$\frac{- 7}{4} + \frac{2 x + 1}{x} = \frac{- 3}{4 x}$
22415	Determine the Number of Significant Figures	6.02*10^23	$6.02 \cdot 10^{23}$
22416	Solve for x	14-4x=5+x/2	$14 - 4 x = 5 + \frac{x}{2}$
22417	Evaluate	-(\|-2\|)/2	$- \frac{\| - 2 \|}{2}$
22418	Evaluate	F=(9/5*C)+32	$F = (\frac{9}{5} \times C) + 32$
22419	Integrate Using u-Substitution	integral of x^3 square root of x^2+4 with respect to x	$\int x^{3} \sqrt{x^{2} + 4} d x$
22420	Find dy/dx	3x^3-5-2y^3=xy	$3 x^{3} - 5 - 2 y^{3} = x y$
22421	Solve for x	square root of x^2-6x+9+2<=9	$\sqrt{x^{2} - 6 x + 9} + 2 \leq 9$
22422	Eliminate the Parameter	x=2t-5 , y=t^2+4	$x = 2 t - 5$ , $y = t^{2} + 4$
22423	Graph	y=4-3sin(2/5(x+1))	$y = 4 - 3 \sin (\frac{2}{5} (x + 1))$
22424	Solve for x	9^(2x+1)=81(27^x)	$9^{2 x + 1} = 81 (27^{x})$
22425	Evaluate the Integral	integral of (x-2)/(2x^2) with respect to x	$\int \frac{x - 2}{2 x^{2}} d x$
22426	Find the Inflection Points	1/10x^5-12x^3	$\frac{1}{10} x^{5} - 12 x^{3}$
22427	Find the Domain	(8a+4b)/(2ab+b^2-2ad-bd)	$\frac{8 a + 4 b}{2 a b + b^{2} - 2 a d - b d}$
22428	Convert to Radical Form	(5^4)/5	$\frac{5^{4}}{5}$
22429	Solve the Function Operation	g(x)=-x-3 ; find g(1)	$g (x) = - x - 3$ ; find $g (1)$
22430	Simplify	(x+4)/7-(x+3)/(x+5)	$\frac{x + 4}{7} - \frac{x + 3}{x + 5}$
22431	Simplify	(2x+3y)^2+2(2x+3y)(x+y)+(x+y)^2	${(2 x + 3 y)}^{2} + 2 (2 x + 3 y) (x + y) + {(x + y)}^{2}$
22432	Factor	x^4-16x^2+x^3-16x-2x^2+32	$x^{4} - 16 x^{2} + x^{3} - 16 x - 2 x^{2} + 32$
22433	Multiply	(3y^3+5-6y)(y^2+2)	$(3 y^{3} + 5 - 6 y) (y^{2} + 2)$
22434	Simplify	(x^2+(1/x)^2)^3	${(x^{2} + {(\frac{1}{x})}^{2})}^{3}$
22435	Evaluate the Integral	integral from negative infinity to 3 of 1/((x-3)^3) with respect to x	$\int_{- \infty}^{3} \frac{1}{{(x - 3)}^{3}} d x$
22436	Simplify	log base 2 of 100- log base 2 of 10	$\log_{2} (100) - \log_{2} (10)$
22437	Find the Distance Between Two Points	(-1,6) and (-1,14)	$(- 1, 6)$ and $(- 1, 14)$
22438	Graph	f(x)=x g(x)=x+4	$f (x) = x$ $g (x) = x + 4$
22439	Find the Domain and Range	y=2pisin(1.2x)	$y = 2 π \sin (1.2 x)$
22440	Evaluate from the Right	limit as x approaches -1 of x^2+1	$lim_{x \to - 1} x^{2} + 1$
22441	Solve for c	\|-2c-3\|>-4	$\| - 2 c - 3 \| > - 4$
22442	Solve the Rational Equation for x	square root of 7x-1=-2	$\sqrt{7 x - 1} = - 2$
22443	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,-8) and has a slope of -1 ?	What is the equation of the line that passes through the point $(8, - 8)$ and has a slope of $- 1$ ?
22444	Write the Absolute Value as Piecewise	f(x)=\|2-2x\|	$f (x) = \| 2 - 2 x \|$
22445	Graph	x+5y=5 y=-4/5x-2	$x + 5 y = 5$ $y = - \frac{4}{5} x - 2$
22446	Simplify	(( square root of 3)/2+2/5i)^2	${(\frac{\sqrt{3}}{2} + \frac{2}{5} i)}^{2}$
22447	Combine Like Terms	(3y^2+y^3-5)+(4y^2-4y+2y^3+8)	$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$
22448	Solve the Inequality for x	\|x-5\|>=0	$\| x - 5 \| \geq 0$
22449	Find the Excluded Values	(9x^2)/(x-6)(x^2-36)/(3x-6)3/(4x^2+24x)	$\frac{9 x^{2}}{x - 6} \cdot \frac{x^{2} - 36}{3 x - 6} \cdot \frac{3}{4 x^{2} + 24 x}$
22450	Find the GCF	36ab^2-48a^2b	$36 a b^{2} - 48 a^{2} b$
22451	Evaluate	4(-9 1/8)	$4 (- 9 \frac{1}{8})$
22452	Evaluate	(4((2-5)^3-4(1/2)^2)+3(2/6))- square root of 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
22453	Find the Cosine Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
22454	Simplify the Radical Expression	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$
22455	Find the Asymptotes	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
22456	Solve the Inequality for z	8+5z<=3z-7<=z+1	$8 + 5 z \leq 3 z - 7 \leq z + 1$
22457	Identify the Zeros and Their Multiplicities	q(t)=-4t(2-t)(t+1)^3	$q (t) = - 4 t (2 - t) {(t + 1)}^{3}$
22458	Evaluate	14/9+7/12*4/21	$\frac{14}{9} + \frac{7}{12} \cdot \frac{4}{21}$
22459	Solve by Addition/Elimination	2x-3y=-1 y=x-1	$2 x - 3 y = - 1$ $y = x - 1$
22460	Write in Standard Form	f(x)=x^2-9x^5+6	$f (x) = x^{2} - 9 x^{5} + 6$
22461	Find the Critical Points	f(x)=x/( square root of x^2+1)	$f (x) = \frac{x}{\sqrt{x^{2} + 1}}$
22462	Graph	1÷x	$1 \div x$
22463	Simplify	5 square root of b+ square root of 4b	$5 \sqrt{b} + \sqrt{4 b}$
22464	Evaluate	7(4p+2q+3r)	$7 (4 p + 2 q + 3 r)$
22465	Find the Integral	1/(x(x+1))	$\frac{1}{x (x + 1)}$
22466	Find the Exact Value	7+(3^2(-5+1))÷2	$7 + 3^{2} (- 5 + 1) \div 2$
22467	Add	3/4+-1/2	$\frac{3}{4} + \frac{- 1}{2}$
22468	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of x^(1/(x^2))	$lim_{x \to \infty} x^{\frac{1}{x^{2}}}$
22469	Solve the System of Inequalities	-7x-50<=-1 ; AND , -6x+70>-2	$- 7 x - 50 \leq - 1$ ; AND , $- 6 x + 70 > - 2$
22470	Simplify	(7/8-3/8)^2	${(\frac{7}{8} - \frac{3}{8})}^{2}$
22471	Solve the Inequality for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
22472	Graph Using a Table of Values	f(x)=-2(5)^(x+5)	$f (x) = - 2 {(5)}^{x + 5}$
22473	Solve the Inequality for p	-5.2>=p/4	$- 5.2 \geq \frac{p}{4}$
22474	Simplify	4x(x+2(x+5))	$4 x (x + 2 (x + 5))$
22475	Multiply	(x^2+2x+1)/(x^2-1)*(x^2+3x+2)/(x^2+4x+4)	$\frac{x^{2} + 2 x + 1}{x^{2} - 1} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 4 x + 4}$
22476	Simplify	3(2+x)+6x-4	$3 (2 + x) + 6 x - 4$
22477	Find the Domain and Range	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
22478	Evaluate Using the Given Value	p^3+10+m ; use m=9 ; and p=3	$p^{3} + 10 + m$ ; use $m = 9$ ; and $p = 3$
22479	Solve for x	y=(mx^2)/2	$y = \frac{m x^{2}}{2}$
22480	Find All Complex Solutions	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
22481	Solve for u	14+8(u+12)=2(6u+19)	$14 + 8 (u + 12) = 2 (6 u + 19)$
22482	Convert to Rectangular	(2(cos(pi/4)+isin(pi/4)))^4	${(2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4})))}^{4}$
22483	Solve for x	square root of 5-x-1=x	$\sqrt{5 - x - 1} = x$
22484	Integrate Using u-Substitution	integral of e^( square root of x) with respect to x	$\int e^{\sqrt{x}} d x$
22485	Simplify	324^(1/4)* fourth root of 1/4	$324^{\frac{1}{4}} \cdot \sqrt[4]{\frac{1}{4}}$
22486	Find the Antiderivative	f(x)=5cos(4x-2)+5x	$f (x) = 5 \cos (4 x - 2) + 5 x$
22487	Simplify	((3x-x^2)/(x^2-16)*(x+4)/(x^2+x-12))÷((x-10)/(4x^3-64x))	$\frac{3 x - x^{2}}{x^{2} - 16} \cdot \frac{x + 4}{x^{2} + x - 12} \div \frac{x - 10}{4 x^{3} - 64 x}$
22488	Solve for n	log base 15 of 15 square root of 15=n	$\log_{15} (15 \sqrt{15}) = n$
22489	Solve for x	4x+3(7+2(x-3))=83	$4 x + 3 (7 + 2 (x - 3)) = 83$
22490	Multiply	(15x)/(7y^3)*(2y^2)/(x^2)	$\frac{15 x}{7 y^{3}} \cdot \frac{2 y^{2}}{x^{2}}$
22491	Find All Complex Solutions	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
22492	Combine Like Terms	-2d+e-f+4d+2f-3e	$- 2 d + e - f + 4 d + 2 f - 3 e$
22493	Simplify	5/(4x)-3/5	$\frac{5}{4 x} - \frac{3}{5}$
22494	Solve for x	4^(3x-1)*(1/8)^x=32^(-x)	$4^{3 x - 1} \cdot {(\frac{1}{8})}^{x} = 32^{- x}$
22495	Find the Exact Value	sin(60 degrees )+sin(pi/2)	$\sin (60 °) + \sin (\frac{π}{2})$
22496	Simplify the Radical Expression	12 root of 1/(n^-8*n^-7)	$\sqrt[12]{\frac{1}{n^{- 8} \cdot n^{- 7}}}$
22497	Write in Standard Form	(6x^2+6x+9)+(x^2+2x)	$(6 x^{2} + 6 x + 9) + (x^{2} + 2 x)$
22498	Simplify	-(-6x+3y-(8x-(2y-4x-(2x-6y)+10x)-9y)+12x)	$- (- 6 x + 3 y - (8 x - (2 y - 4 x - (2 x - 6 y) + 10 x) - 9 y) + 12 x)$
22499	Solve for x	(4x)/(x^2-9x-10)-7/(x-10)=1/(x+1)	$\frac{4 x}{x^{2} - 9 x - 10} - \frac{7}{x - 10} = \frac{1}{x + 1}$
22500	Multiply	(3a^2-13a+4)/(9a^2-6a+1)*(28+7a)/(a^2-16)	$\frac{3 a^{2} - 13 a + 4}{9 a^{2} - 6 a + 1} \cdot \frac{28 + 7 a}{a^{2} - 16}$