Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40501	Find the Equation Using Point-Slope Formula	(0,-2) and (4,5)	$(0, - 2)$ and $(4, 5)$
40502	Find the Exact Value	(2^-2+5^-1)/(4^-1-5^-1)	$\frac{2^{- 2} + 5^{- 1}}{4^{- 1} - 5^{- 1}}$
40503	Determine if Continuous	f(x)=x+2 if x<0; e^x if 0<=x<=1; 2-x if x>1	$f (x) = {\begin{cases} x + 2 & x < 0 \\ e^{x} & 0 \leq x \leq 1 \\ 2 - x & x > 1 \end{cases}$
40504	Divide	((x^3)/(x^2))÷((x^2-7x-8)/(x^2-1))	$\frac{x^{3}}{x^{2}} \div \frac{x^{2} - 7 x - 8}{x^{2} - 1}$
40505	Find the Derivative - d/dx	D_x((2x+5)/(x^2-1))	$D_{x} (\frac{2 x + 5}{x^{2} - 1})$
40506	Expand the Logarithmic Expression	log base 8 of (4x+2)^3(x-4)	$\log_{8} ({(4 x + 2)}^{3} (x - 4))$
40507	Divide	(-25/32)÷(5/6)	$- \frac{25}{32} \div \frac{5}{6}$
40508	Simplify	(2a^2b^3c^4)^3(-3ab)^2(-b^3c)^3	${(2 a^{2} b^{3} c^{4})}^{3} {(- 3 a b)}^{2} {(- b^{3} c)}^{3}$
40509	Find dy/dx	(4x+y)^4=3y	${(4 x + y)}^{4} = 3 y$
40510	Simplify the Matrix	(((23)/9)÷3)^-2(9/4)^2(3/5)^-1	${((\frac{2 \cdot 3}{9}) \div 3)}^{- 2} {(\frac{9}{4})}^{2} \cdot {(\frac{3}{5})}^{- 1}$
40511	Graph	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
40512	Write the Fraction in Simplest Form	(-3/4)^3	${(- \frac{3}{4})}^{3}$
40513	Find the Roots (Zeros)	2x^4-9x^2+4	$2 x^{4} - 9 x^{2} + 4$
40514	Solve for x	0.25x+1 = square root of -x+4	$0.25 x + 1 = \sqrt{- x} + 4$
40515	Find the Asymptotes	y=((x-7)(x+10))/((x+10)(x-3)(x-7))	$y = \frac{(x - 7) (x + 10)}{(x + 10) (x - 3) (x - 7)}$
40516	Evaluate	3x^2+2=11-x^2	$3 x^{2} + 2 = 11 - x^{2}$
40517	Solve for a	2^(a+1)+2^a=3^(b+2)-3^b	$2^{a + 1} + 2^{a} = 3^{b + 2} - 3^{b}$
40518	Add	7 square root of 3x+2 square root of 12x	$7 \sqrt{3 x} + 2 \sqrt{12 x}$
40519	Simplify	10 square root of x+5 square root of x-2 square root of x	$10 \sqrt{x} + 5 \sqrt{x} - 2 \sqrt{x}$
40520	Find the Domain	(2x-1)^(5/3)	${(2 x - 1)}^{\frac{5}{3}}$
40521	Simplify the Radical Expression	6x square root of 28x^5-x^2 square root of 7x^3	$6 x \sqrt{28 x^{5}} - x^{2} \sqrt{7 x^{3}}$
40522	Find the Domain and Range	y=-sin(x)^2	$y = - \sin^{2} (x)$
40523	Solve the System of Inequalities	0.5x+2>-2.5 0.4x-8<-2	$0.5 x + 2 > - 2.5$ $0.4 x - 8 < - 2$
40524	Determine if Odd, Even, or Neither	Y=x^2+3x+9	$Y = x^{2} + 3 x + 9$
40525	Find the x and y Intercepts	(2x+3)	$(2 x + 3)$
40526	Solve the Function Operation	If f(x)=3x+7 and g(x)=11x-5 ; find: (f-g)(x)	If $f (x) = 3 x + 7$ and $g (x) = 11 x - 5$ ; find: $(f - g) (x)$
40527	Solve the Function Operation	If f(x)=3x+7 and g(x)=11x-5 ; find: (fg)(x)	If $f (x) = 3 x + 7$ and $g (x) = 11 x - 5$ ; find: $(f g) (x)$
40528	Graph	1/2tan(x)	$\frac{1}{2} \tan (x)$
40529	Find the Domain	(t(t-3))/(t-2)+(4-t)/(t-2)	$\frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
40530	Find the Function Rule	table[[x,y],[1,1],[2,4],[3,9],[4,16]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \\ 4 & 16 \end{array}$
40531	Simplify	((2x^2)^3)/((4x)^2)	$\frac{{(2 x^{2})}^{3}}{{(4 x)}^{2}}$
40532	Solve the Inequality for x	(x^2+10x+16)/(x-3)>0	$\frac{x^{2} + 10 x + 16}{x - 3} > 0$
40533	Evaluate the Limit	limit as x approaches -4 of (4x^2+4x-8)/(ax^2+bx+8)=9/5	$lim_{x \to - 4} \frac{4 x^{2} + 4 x - 8}{a x^{2} + b x + 8} = \frac{9}{5}$
40534	Graph	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
40535	Solve the Inequality for x	-12 square root of 2x-3>-36	$- 12 \sqrt{2 x - 3} > - 36$
40536	Simplify	(4y^5)/(4x^-2y^0)	$\frac{4 y^{5}}{4 x^{- 2} y^{0}}$
40537	Evaluate	g(2y)=2y^3	$g (2 y) = 2 y^{3}$
40538	Solve for v	7v+9-10v=-18	$7 v + 9 - 10 v = - 18$
40539	Add	(x+6)/(x^2-4)+2/(x^2-5x+6)	$\frac{x + 6}{x^{2} - 4} + \frac{2}{x^{2} - 5 x + 6}$
40540	Solve for x	(x-1)^(1/3)-4=-4	${(x - 1)}^{\frac{1}{3}} - 4 = - 4$
40541	Graph	5>=5x-5 or 5x-5>=20	$5 \geq 5 x - 5$ or $5 x - 5 \geq 20$
40542	Simplify	3/8b-3/4b	$\frac{3}{8} b - \frac{3}{4} b$
40543	Simplify	2/(m^2p)+5/p	$\frac{2}{m^{2} p} + \frac{5}{p}$
40544	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,1) and has a slope of 4/3 ?	What is the equation of the line that passes through the point $(- 3, 1)$ and has a slope of $\frac{4}{3}$ ?
40545	Simplify	(-1/8)^(-2/3)	${(- \frac{1}{8})}^{- \frac{2}{3}}$
40546	Simplify the Radical Expression	-3x^3 square root of 5+6 square root of 125x^6	$- 3 x^{3} \sqrt{5} + 6 \sqrt{125 x^{6}}$
40547	Solve for x	-2/15+x=-3/5	$- \frac{2}{15} + x = - \frac{3}{5}$
40548	Solve for y	(4y+7)^2=4(4y+7)+6	${(4 y + 7)}^{2} = 4 (4 y + 7) + 6$
40549	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6 ?	What is the equation of the line that passes through the point $(- 6, 1)$ and has a slope of $\frac{1}{6}$ ?
40550	Simplify	(3+7v^2)(3-7v^2)	$(3 + 7 v^{2}) (3 - 7 v^{2})$
40551	Solve the Rational Equation for x	3 = square root of x/5	$3 = \sqrt{\frac{x}{5}}$
40552	Find the Parallel Line	-3x-y=-4 , P=(1,4)	$- 3 x - y = - 4$ , $P = (1, 4)$
40553	Solve for x	3\|x-1\|+x=-4x	$3 \| x - 1 \| + x = - 4 x$
40554	Find the x and y Intercepts	(x^2)/9+((y-3)^2)/25=1	$\frac{x^{2}}{9} + \frac{{(y - 3)}^{2}}{25} = 1$
40555	Solve the Inequality for x	x-4>=4x-14	$x - 4 \geq 4 x - 14$
40556	Solve for x	3/(x^2-4)=2/(x+2)+x/(x-2)	$\frac{3}{x^{2} - 4} = \frac{2}{x + 2} + \frac{x}{x - 2}$
40557	Simplify	( cube root of x^4)/( eighth root of x^4)	$\frac{\sqrt[3]{x^{4}}}{\sqrt[8]{x^{4}}}$
40558	Simplify	( cube root of 20t^3)( cube root of 81t^7)	$(\sqrt[3]{20 t^{3}}) (\sqrt[3]{81 t^{7}})$
40559	Solve for p	4p-10=p+3p-2p	$4 p - 10 = p + 3 p - 2 p$
40560	Simplify	((-3^2b^-2)/(a^8c^-4))^-1	${(\frac{- 3^{2} b^{- 2}}{a^{8} c^{- 4}})}^{- 1}$
40561	Evaluate	log base 8/27 of 9/4	$\log_{\frac{8}{27}} (\frac{9}{4})$
40562	Simplify	1/(y-2)+2/(y+1)-(y+2)/(y^2-y-2)	$\frac{1}{y - 2} + \frac{2}{y + 1} - \frac{y + 2}{y^{2} - y - 2}$
40563	Subtract	(5x^2+8x)+(x^2-5x+1)	$(5 x^{2} + 8 x) + (x^{2} - 5 x + 1)$
40564	Graph	x^2=x+2	$x^{2} = x + 2$
40565	Find the Domain	k(x) = fifth root of 6+x	$k (x) = \sqrt[5]{6 + x}$
40566	Simplify	(3(a^6b^-4c)^0)/(-6(a^4b^3c^4)^0)	$\frac{3 {(a^{6} b^{- 4} c)}^{0}}{- 6 {(a^{4} b^{3} c^{4})}^{0}}$
40567	Rationalize the Denominator	(3 square root of 11+ square root of 5)/( square root of 11- square root of 5)	$\frac{3 \sqrt{11} + \sqrt{5}}{\sqrt{11} - \sqrt{5}}$
40568	Solve for u	4u^2=28u	$4 u^{2} = 28 u$
40569	Simplify	2b+7b^2-2+3b-1+b	$2 b + 7 b^{2} - 2 + 3 b - 1 + b$
40570	Solve for x	5 square root of x+2=15 square root of x	$5 \sqrt{x + 2} = 15 \sqrt{x}$
40571	Graph	5-4(2x-7)<-39	$5 - 4 (2 x - 7) < - 39$
40572	Simplify	(x/25+x/5)/(5/x)	$\frac{\frac{x}{25} + \frac{x}{5}}{\frac{5}{x}}$
40573	Convert from Radians to Degrees	-2pirad	$- 2 π$ radians
40574	Find the Coterminal Angle	1740 degrees	$1740 °$
40575	Simplify	cube root of (1000a^6)/(b^3)	$\sqrt[3]{\frac{1000 a^{6}}{b^{3}}}$
40576	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 4, 2)$ and has a slope of $- 2$ ?
40577	Find dy/dx	y=sin(x)+cos(x)	$y = \sin (x) + \cos (x)$
40578	Simplify	(9x^3-6x^2)+(-5x^3+8)	$(9 x^{3} - 6 x^{2}) + (- 5 x^{3} + 8)$
40579	Subtract	9/x-3/(8x)	$\frac{9}{x} - \frac{3}{8 x}$
40580	Simplify	(x^m-1)(x^(2m)+x^m+1)	$(x^{m} - 1) (x^{2 m} + x^{m} + 1)$
40581	Describe the Transformation	f(x)=4 cube root of x-1	$f (x) = 4 \sqrt[3]{x} - 1$
40582	Evaluate the Integral	integral of -2/(x square root of x^2-36) with respect to x	$\int \frac{- 2}{x \sqrt{x^{2} - 36}} d x$
40583	Evaluate	log of x+3+ log of x=1	$\log (x + 3) + \log (x) = 1$
40584	Solve for x	f(x)=-4x-10 and f(x)=10	$f (x) = - 4 x - 10$ and $f (x) = 10$
40585	Find the Asymptotes	f(x)=(x^3-6x^2+8x)/(x^2-2x-15)	$f (x) = \frac{x^{3} - 6 x^{2} + 8 x}{x^{2} - 2 x - 15}$
40586	Find the Slope and y-intercept	y-3=1/2(x-6)	$y - 3 = \frac{1}{2} (x - 6)$
40587	Solve the Rational Equation for a	square root of 648 = square root of 2^a*3^b	$\sqrt{648} = \sqrt{2^{a} \cdot 3^{b}}$
40588	Solve for x in Degrees	2sin(x)cos(x)=cos(x)	$2 \sin (x) \cos (x) = \cos (x)$
40589	Divide	(12x^6y^2)/(18xy^2)	$\frac{12 x^{6} y^{2}}{18 x y^{2}}$
40590	Evaluate	(e^-0.1-1)/-0.1	$\frac{e^{- 0.1} - 1}{- 0.1}$
40591	Find the Degree, Leading Term, and Leading Coefficient	y^5-10x^2y^4	$y^{5} - 10 x^{2} y^{4}$
40592	Solve the Inequality for x	cube root of x+4> cube root of -x	$\sqrt[3]{x + 4} > \sqrt[3]{- x}$
40593	Find the Antiderivative	cube root of 1+7x	$\sqrt[3]{1 + 7 x}$
40594	Simplify	(16x^2-56x+60x^2)/(-14+19x)	$\frac{16 x^{2} - 56 x + 60 x^{2}}{- 14 + 19 x}$
40595	Find the Equation Using Point-Slope Formula	Passing through (-12,0) and (0,12)	Passing through $(- 12, 0)$ and $(0, 12)$
40596	Simplify the Radical Expression	cube root of (24x^3)/(36x)	$\sqrt[3]{\frac{24 x^{3}}{36 x}}$
40597	Simplify the Radical Expression	a fourth root of 6ab^4	$a \sqrt[4]{6 a b^{4}}$
40598	Find dx/dy	3x^2+5x^2y^2=2y	$3 x^{2} + 5 x^{2} y^{2} = 2 y$
40599	Find the Domain and Range	f(x) = cube root of x^2+x	$f (x) = \sqrt[3]{x^{2} + x}$
40600	Convert to Interval Notation	x<9 and x>=-6	$x < 9$ and $x \geq - 6$