Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35501	Find the Exact Value	cot(-945 degrees )	$\cot (- 945 °)$
35502	Simplify	x3/4*x5/3	$x \frac{3}{4} \cdot x \frac{5}{3}$
35503	Solve by Completing the Square	x^2-2x-3/4=0	$x^{2} - 2 x - \frac{3}{4} = 0$
35504	Simplify	( cube root of m^7)( cube root of 5m^2)	$(\sqrt[3]{m^{7}}) (\sqrt[3]{5 m^{2}})$
35505	Find the Roots (Zeros)	f(x)=x^4+x^3-x^2+x+12	$f (x) = x^{4} + x^{3} - x^{2} + x + 12$
35506	Simplify the Radical Expression	( square root of 15)/(3 square root of 6)	$\frac{\sqrt{15}}{3 \sqrt{6}}$
35507	Graph	y<3/4\|x+2\|+4	$y < \frac{3}{4} \| x + 2 \| + 4$
35508	Solve for x	(2+6x)/2=3x+3	$\frac{2 + 6 x}{2} = 3 x + 3$
35509	Find the Slope	(-3,5) and (-12,8)	$(- 3, 5)$ and $(- 12, 8)$
35510	Solve by Graphing	x+4y=8 y=3/4x+6	$x + 4 y = 8$ $y = \frac{3}{4} x + 6$
35511	Solve the Inequality for x	4^(2x+3)=1	$4^{2 x + 3} = 1$
35512	Expand Using Sum/Difference Formulas	(x+3)(x+5)	$(x + 3) (x + 5)$
35513	Solve for y	2y=y	$2 y = y$
35514	Divide	2÷(5/2)	$2 \div \frac{5}{2}$
35515	Find the Tangent of the Angle	pi/4	$\frac{π}{4}$
35516	Find the Roots (Zeros)	3(x-pi)^2-12	$3 {(x - π)}^{2} - 12$
35517	Find the Domain and Range	\|x^2-1\|	$\| x^{2} - 1 \|$
35518	Find the Local Maxima and Minima	f(x)=10/3x^3-x^2-8x+48	$f (x) = \frac{10}{3} x^{3} - x^{2} - 8 x + 48$
35519	Find the Asymptotes	f(x)=(x^5-3x-1)/(x^2+4)	$f (x) = \frac{x^{5} - 3 x - 1}{x^{2} + 4}$
35520	Solve for x	square root of x^2 = square root of 40	$\sqrt{x^{2}} = \sqrt{40}$
35521	Evaluate	x^3=-27	$x^{3} = - 27$
35522	Solve the Function Operation	If P(x)=x^2+x+2 ; find P(6)	If $P (x) = x^{2} + x + 2$ ; find $P (6)$
35523	Simplify	10 square root of x+5 square root of x+2 square root of x	$10 \sqrt{x} + 5 \sqrt{x} + 2 \sqrt{x}$
35524	Simplify	48/( square root of 81- square root of 49)	$\frac{48}{\sqrt{81} - \sqrt{49}}$
35525	Evaluate the Integral	integral of (-e^(1/x))/(x^2) with respect to x	$\int \frac{- e^{\frac{1}{x}}}{x^{2}} d x$
35526	Find the Exact Value	sec(-840 degrees )	$\sec (- 840 °)$
35527	Write in Exponential Form	fifth root of 5^2* square root of 5^3	$\sqrt[5]{5^{2}} \cdot \sqrt{5^{3}}$
35528	Simplify	(3+ square root of 7)/(2+2 square root of 7)	$\frac{3 + \sqrt{7}}{2 + 2 \sqrt{7}}$
35529	Graph	7<x+3y	$7 < x + 3 y$
35530	Find the Domain of the Composition f(g(x))	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
35531	Find Where Increasing/Decreasing	f(x)=x^(1/3)+1	$f (x) = x^{\frac{1}{3}} + 1$
35532	Graph	(1,2) , (9,2) , (9,10)	$(1, 2)$ , $(9, 2)$ , $(9, 10)$
35533	Divide	6x^3+25x^2+18x+14÷2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14 \div 2 x + 7$
35534	Add	(4x-6x^2+3)+(9x^2+7x-2)	$(4 x - 6 x^{2} + 3) + (9 x^{2} + 7 x - 2)$
35535	Convert to a Decimal	2.5rad to deg	$2.5$ radians to degrees
35536	Find the Degree	x^3-3x^2y+3xy^2-y^3	$x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
35537	Solve for x in Degrees	5cos(x)tan(x)=9tan(x)	$5 \cos (x) \tan (x) = 9 \tan (x)$
35538	Evaluate	(-2/3)/2	$\frac{(- \frac{2}{3})}{2}$
35539	Solve the System of Equations	(x-2)^2+(y-3)^2=65 -x+y=4	${(x - 2)}^{2} + {(y - 3)}^{2} = 65$ $- x + y = 4$
35540	Graph	y=-2csc(2x+pi/2)+3	$y = - 2 \csc (2 x + \frac{π}{2}) + 3$
35541	Evaluate the Limit	limit as x approaches 0 of cube root of 3/(2x-1)	$lim_{x \to 0} \sqrt[3]{\frac{3}{2 x - 1}}$
35542	Solve for a	a = log base 3 of 40- log base 3 of 5+ log base 3 of 2	$a = \log_{3} (40) - \log_{3} (5) + \log_{3} (2)$
35543	Simplify/Condense	cos(-x)+(sin(-x))/(cot(-x))	$\cos (- x) + \frac{\sin (- x)}{\cot (- x)}$
35544	Find Where Increasing/Decreasing	f(x)=4*(3/8)^x	$f (x) = 4 \cdot {(\frac{3}{8})}^{x}$
35545	Evaluate	(3-2x)(4x-7)	$(3 - 2 x) (4 x - 7)$
35546	Combine Like Terms	-7-8x-4+4x	$- 7 - 8 x - 4 + 4 x$
35547	Simplify the Radical Expression	( square root of y)/( square root of y- square root of 7)	$\frac{\sqrt{y}}{\sqrt{y} - \sqrt{7}}$
35548	Rationalize the Denominator	11/( square root of 121)	$\frac{11}{\sqrt{121}}$
35549	Solve for b	1/a=bc+1/d	$\frac{1}{a} = b c + \frac{1}{d}$
35550	Evaluate	(5x+2)(x^2-3x+6)	$(5 x + 2) (x^{2} - 3 x + 6)$
35551	Solve for x	2-x^2=0	$2 - x^{2} = 0$
35552	Solve the System of Equations	2x+2y=-6 and 3x-2y=11	$2 x + 2 y = - 6$ and $3 x - 2 y = 11$
35553	Solve the Function Operation	g(n)=3n-2 h(n)=3n+3 Find (2g+5h)(n)	$g (n) = 3 n - 2$ $h (n) = 3 n + 3$ Find $(2 g + 5 h) (n)$
35554	Evaluate	6-3q<=1	$6 - 3 q \leq 1$
35555	Factor	5/4x^(1/4)+7/4x^(5/4)	$\frac{5}{4} x^{\frac{1}{4}} + \frac{7}{4} x^{\frac{5}{4}}$
35556	Simplify	(9/(144x^4))^(1/2)	${(\frac{9}{144 x^{4}})}^{\frac{1}{2}}$
35557	Evaluate	square root of 55-9x=x-7	$\sqrt{55 - 9 x} = x - 7$
35558	Find the Exact Value	arctan(tan(-(5pi)/7))	$\arctan (\tan (- \frac{5 π}{7}))$
35559	Factor	2cos(x)^2-cos(x)-1=0	$2 \cos^{2} (x) - \cos (x) - 1 = 0$
35560	Evaluate Using the Given Value	p-(9-(m+q)) ; use m=4 , p=5 ; and q=3	$p - (9 - (m + q))$ ; use $m = 4$ , $p = 5$ ; and $q = 3$
35561	Simplify	(3 square root of 32)/( square root of 2)	$\frac{3 \sqrt{32}}{\sqrt{2}}$
35562	Convert to Radical Form	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
35563	Verify the Identity	(c-s)(c+s)=c^2-s^2	$(c - s) (c + s) = c^{2} - s^{2}$
35564	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (4 natural log of 1-2x+2x^3)/(5x^2+4x)	$lim_{x \to 0} \frac{4 \ln (1 - 2 x) + 2 x^{3}}{5 x^{2} + 4 x}$
35565	Evaluate	(2^3+4)÷2+4	$(2^{3} + 4) \div 2 + 4$
35566	Find the Secant Given the Point	((3 square root of 13)/13,-(2 square root of 13)/13)	$(\frac{3 \sqrt{13}}{13}, - \frac{2 \sqrt{13}}{13})$
35567	Solve the Inequality for r	9-4r>5	$9 - 4 r > 5$
35568	Find the Exact Value	sin(pi/3)cos(pi)-cos(pi/3)sin((3pi)/2)	$\sin (\frac{π}{3}) \cos (π) - \cos (\frac{π}{3}) \sin (\frac{3 π}{2})$
35569	Simplify	-3(2x^2-8)+7	$- 3 (2 x^{2} - 8) + 7$
35570	Graph	f(x)=(2x+2)/(x^3+x^2)	$f (x) = \frac{2 x + 2}{x^{3} + x^{2}}$
35571	Simplify	-3p^4r^3(2p^2r^4-6p^6r^3-5)	$- 3 p^{4} r^{3} (2 p^{2} r^{4} - 6 p^{6} r^{3} - 5)$
35572	Simplify	(1/32)^x*(1/2)^(9x-5)	${(\frac{1}{32})}^{x} \cdot {(\frac{1}{2})}^{9 x - 5}$
35573	Simplify	5 square root of 3a^2*3 square root of 25a	$5 \sqrt{3 a^{2}} \cdot 3 \sqrt{25 a}$
35574	Solve the Function Operation	If f(x) = square root of x+12 and g(x)=2 square root of x ; what is the value of (f-g)(144)	If $f (x) = \sqrt{x} + 12$ and $g (x) = 2 \sqrt{x}$ ; what is the value of $(f - g) (144)$ ?
35575	Write in Exponential Form	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
35576	Evaluate the Function	-2x+y=0 , x<=0	$- 2 x + y = 0$ , $x \leq 0$
35577	Solve for x	(x-1)/(8x)=(x^2+6x+5)/(8x^2)-1/x	$\frac{x - 1}{8 x} = \frac{x^{2} + 6 x + 5}{8 x^{2}} - \frac{1}{x}$
35578	Solve the System of Inequalities	x<1 and x>-3	$x < 1$ and $x > - 3$
35579	Simplify	(-(3xy^4z^2)/(x^3yz^4))^0	${(- \frac{3 x y^{4} z^{2}}{x^{3} y z^{4}})}^{0}$
35580	Solve for x	x-8 7/8=-17 7/8	$x - 8 \frac{7}{8} = - 17 \frac{7}{8}$
35581	Solve for x in Degrees	sec(x)=-2	$\sec (x) = - 2$
35582	Solve for x	x^4-11x^2=80	$x^{4} - 11 x^{2} = 80$
35583	Find the Degree	x^2y-9x^4y^2+3xy	$x^{2} y - 9 x^{4} y^{2} + 3 x y$
35584	Solve the Rational Equation for x	1 = square root of x-5	$1 = \sqrt{x - 5}$
35585	Simplify the Radical Expression	square root of 48/x	$\sqrt{\frac{48}{x}}$
35586	Multiply	[[-1,-2,-2,-3],[-3,-4,0,0]][[-4,0,2],[2,-1,1],[0,4,-4],[0,0,-1]]	$[\begin{array}{c} - 1 & - 2 & - 2 & - 3 \\ - 3 & - 4 & 0 & 0 \end{array}] [\begin{array}{c} - 4 & 0 & 2 \\ 2 & - 1 & 1 \\ 0 & 4 & - 4 \\ 0 & 0 & - 1 \end{array}]$
35587	Solve the Absolute Value Inequality for x	\|x-6\|+7>=-1	$\| x - 6 \| + 7 \geq - 1$
35588	Simplify	( fifth root of m)÷( cube root of m^2)	$\sqrt[5]{m} \div \sqrt[3]{m^{2}}$
35589	Simplify	(3a)÷(a^-2)+a^2*a-(6a^-1)/(2a^-4)	$3 a \div a^{- 2} + a^{2} \cdot a - \frac{6 a^{- 1}}{2 a^{- 4}}$
35590	Find the Derivative - d/dx	cos(x/2)^2	$\cos^{2} (\frac{x}{2})$
35591	Solve the Inequality for x	6x^2-6<=5x	$6 x^{2} - 6 \leq 5 x$
35592	Solve for x	3x^2-5=-8x-10	$3 x^{2} - 5 = - 8 x - 10$
35593	Solve the Inequality for x	\|x-1/2\|<5	$\| x - \frac{1}{2} \| < 5$
35594	Subtract	7 fourth root of 3x- fourth root of 48x	$7 \sqrt[4]{3 x} - \sqrt[4]{48 x}$
35595	Simplify	sin(2arcsin(1/2)-arctan(( square root of 3)/3))	$\sin (2 \arcsin (\frac{1}{2}) - \arctan (\frac{\sqrt{3}}{3}))$
35596	Solve for x	\|1+7x\|+3=0	$\| 1 + 7 x \| + 3 = 0$
35597	Evaluate the Integral	integral of (16x^4-3x^3+8x)/(x^3) with respect to x	$\int \frac{16 x^{4} - 3 x^{3} + 8 x}{x^{3}} d x$
35598	Simplify	square root of 3x+ square root of 12+(x+5)/( square root of 3)	$\sqrt{3} x + \sqrt{12} + \frac{x + 5}{\sqrt{3}}$
35599	Simplify	((4x^3y^2)(3x^6y^3))/(24x^11y^2)	$\frac{(4 x^{3} y^{2}) (3 x^{6} y^{3})}{24 x^{11} y^{2}}$
35600	Solve the Inequality for m	m/8>1	$\frac{m}{8} > 1$