Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44301	Simplify	(x^2+14x+49)/((x+7)^3 square root of x+7)	$\frac{x^{2} + 14 x + 49}{{(x + 7)}^{3} \sqrt{x + 7}}$
44302	Solve for x	3( log base 9 of x)^2=6 log base 9 of x	$3 {\log_{9}}^{2} (x) = 6 \log_{9} (x)$
44303	Evaluate the Limit	limit as x approaches infinity of ((2x^3-4)^2(3x+7)^3)/((3x^2-2)^4(4x+13))	$lim_{x \to \infty} \frac{{(2 x^{3} - 4)}^{2} {(3 x + 7)}^{3}}{{(3 x^{2} - 2)}^{4} (4 x + 13)}$
44304	Solve the Inequality for x	(x-4)/6>=(x-2)/9+5/18	$\frac{x - 4}{6} \geq \frac{x - 2}{9} + \frac{5}{18}$
44305	Simplify the Radical Expression	3 square root of 12-5 square root of 27+2 square root of 75	$3 \sqrt{12} - 5 \sqrt{27} + 2 \sqrt{75}$
44306	Evaluate the Limit	limit as x approaches infinity of (4x^4-49)/((x^2+49)(4x^2-49))	$lim_{x \to \infty} \frac{4 x^{4} - 49}{(x^{2} + 49) (4 x^{2} - 49)}$
44307	Evaluate	sin(pi/4)-sin(pi/4)	$\sin (\frac{π}{4}) - \sin (\frac{π}{4})$
44308	Solve the System of Inequalities	y<=-2x-7 y>=x+2	$y \leq - 2 x - 7$ $y \geq x + 2$
44309	Solve for θ in Radians	sin(theta)=(- square root of 3)/2	$\sin (θ) = \frac{- \sqrt{3}}{2}$
44310	Solve Using the Quadratic Formula	2-x^2-x=0	$2 - x^{2} - x = 0$
44311	Evaluate	2(g(3))+g(-4)	$2 (g (3)) + g (- 4)$
44312	Solve the System of Equations	y=x+3 y=x-1	$y = x + 3$ $y = x - 1$
44313	Simplify	( fourth root of 4)( cube root of 4)	$(\sqrt[4]{4}) (\sqrt[3]{4})$
44314	Factor	Factor: 2x^2+5x-3	Factor: $2 x^{2} + 5 x - 3$
44315	Evaluate	(-2-(-2))^2	${(- 2 - (- 2))}^{2}$
44316	Solve for y	natural log of 2y-5+ natural log of 2=5x+ natural log of 5x	$\ln (2 y - 5) + \ln (2) = 5 x + \ln (5 x)$
44317	Simplify	(1- square root of -1)/(1+ square root of -1)	$\frac{1 - \sqrt{- 1}}{1 + \sqrt{- 1}}$
44318	Solve for x	square root of 2x+4 = square root of x-2	$\sqrt{2 x + 4} = \sqrt{x} - 2$
44319	Solve for x	-9=x^2+6x	$- 9 = x^{2} + 6 x$
44320	Solve the System of Equations	9x+15y=6 5y=-3x+4	$9 x + 15 y = 6$ $5 y = - 3 x + 4$
44321	Solve for a	4 = cube root of 8a	$4 = \sqrt[3]{8 a}$
44322	Evaluate the Integral	integral of 14/( cube root of 3x+1) with respect to x	$\int \frac{14}{\sqrt[3]{3 x + 1}} d x$
44323	Simplify	(x^(1/2)y^-2z^4)/(x^(3/2)y^3z^(3/2))	$\frac{x^{\frac{1}{2}} y^{- 2} z^{4}}{x^{\frac{3}{2}} y^{3} z^{\frac{3}{2}}}$
44324	Simplify	30 root of 32a^20b^15c^25	$\sqrt[30]{32 a^{20} b^{15} c^{25}}$
44325	Simplify	fourth root of (x^2)/(9x)	$\sqrt[4]{\frac{x^{2}}{9 x}}$
44326	Find the Complex Conjugate	-8+ square root of -25	$- 8 + \sqrt{- 25}$
44327	Graph	y<-3/4x+5 y<=-1/4x+3	$y < - \frac{3}{4} x + 5$ $y \leq - \frac{1}{4} x + 3$
44328	Subtract	0-3/2	$0 - \frac{3}{2}$
44329	Evaluate	1-1/e	$1 - \frac{1}{e}$
44330	Evaluate Using the Given Value	y+z+2 ; use y=-6 ; and z=5	$y + z + 2$ ; use $y = - 6$ ; and $z = 5$
44331	Simplify	(4b^3-6b^2-b)÷4b	$(4 b^{3} - 6 b^{2} - b) \div 4 b$
44332	Simplify	(15x^2+6x)/(3x)*(2x-1)	$\frac{15 x^{2} + 6 x}{3 x} \cdot (2 x - 1)$
44333	Find f(g(x))	f(x)=x^2+x-2 g(x)=-4x-6	$f (x) = x^{2} + x - 2$ $g (x) = - 4 x - 6$
44334	Evaluate	g(1+h)=x^2	$g (1 + h) = x^{2}$
44335	Add	(-8-2i)+(8-i)	$(- 8 - 2 i) + (8 - i)$
44336	Find the Domain	(a+1)/(a(a-1))	$\frac{a + 1}{a (a - 1)}$
44337	Graph	2x<7x-36	$2 x < 7 x - 36$
44338	Find the Derivative - d/dx	y=(4x^5+x^2+4)/(5x^2-2)	$y = \frac{4 x^{5} + x^{2} + 4}{5 x^{2} - 2}$
44339	Simplify the Radical Expression	6 square root of 10+5 square root of 10-15 square root of 10	$6 \sqrt{10} + 5 \sqrt{10} - 15 \sqrt{10}$
44340	Find Amplitude, Period, and Phase Shift	y=1/2cos((6pix)/5-1)	$y = \frac{1}{2} \cos (\frac{6 π x}{5} - 1)$
44341	Evaluate the Function	2x+y=0 , x>=0	$2 x + y = 0$ , $x \geq 0$
44342	Simplify	(sin(theta)cos(theta))/(sin(theta-pi))	$\frac{\sin (θ) \cos (θ)}{\sin (θ - π)}$
44343	Find the Perfect Square Trinomial	(2x-3)(3x-3)	$(2 x - 3) (3 x - 3)$
44344	Simplify	(x+1)/(x+2)+1/((x+1)/(x+2))	$\frac{x + 1}{x + 2} + \frac{1}{\frac{x + 1}{x + 2}}$
44345	Find the Degree, Leading Term, and Leading Coefficient	7p^5-p/10+p^4	$7 p^{5} - \frac{p}{10} + p^{4}$
44346	Factor	7z^4(2z^2-z-6)	$7 z^{4} (2 z^{2} - z - 6)$
44347	Rationalize the Denominator	-6/(-7- square root of 13)	$\frac{- 6}{- 7 - \sqrt{13}}$
44348	Find the Roots (Zeros)	2x^2+x+2=0	$2 x^{2} + x + 2 = 0$
44349	Find the x and y Intercepts	f(x)=5x^2(x^2-7)(x-1)^2	$f (x) = 5 x^{2} (x^{2} - 7) {(x - 1)}^{2}$
44350	Evaluate	12tan(pi/3)^2+24sec(pi/6)^2	$12 \tan^{2} (\frac{π}{3}) + 24 \sec^{2} (\frac{π}{6})$
44351	Find the Antiderivative	(6x^3-3x+2)/5	$\frac{6 x^{3} - 3 x + 2}{5}$
44352	Divide Using Long Polynomial Division	4x^3+10x^2+11x+14 divided by x+2	$4 x^{3} + 10 x^{2} + 11 x + 14$ divided by $x + 2$
44353	Evaluate	8w+5=4(2w+1)	$8 w + 5 = 4 (2 w + 1)$
44354	Simplify	(4x^2y)(x^3-3x^2+1)	$(4 x^{2} y) (x^{3} - 3 x^{2} + 1)$
44355	Evaluate the Function	D(0)=2F+115	$D (0) = 2 F + 115$
44356	Integrate By Parts	integral of xe^(-x^2) with respect to x	$\int x e^{- x^{2}} d x$
44357	Find the Inverse	y=-4/5x+1/5	$y = - \frac{4}{5} x + \frac{1}{5}$
44358	Graph	y+x<3 y-x>=1	$y + x < 3$ $y - x \geq 1$
44359	Find the Derivative - d/dx	9/( cube root of x+1)	$\frac{9}{\sqrt[3]{x + 1}}$
44360	Solve for x	11/(3x)-1/3=-4/(x^2)	$\frac{11}{3 x} - \frac{1}{3} = \frac{- 4}{x^{2}}$
44361	Convert to a Decimal	13rev per s	$13$ revolutions per second
44362	Simplify	(2/3)^(x+4)-(2/3)^x	${(\frac{2}{3})}^{x + 4} - {(\frac{2}{3})}^{x}$
44363	Solve for m	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
44364	Simplify	-3.7+5g+4k+11.1-10g	$- 3.7 + 5 g + 4 k + 11.1 - 10 g$
44365	Evaluate	1/2(105+144)	$\frac{1}{2} (10 \cdot 5 + 14 \cdot 4)$
44366	Evaluate the Function	p(264)=1/33d+1	$p (264) = \frac{1}{33} d + 1$
44367	Solve for y	x=(y+9)/6	$x = \frac{y + 9}{6}$
44368	Solve for x in Degrees	9tan(x)sin(x)=10sin(x)	$9 \tan (x) \sin (x) = 10 \sin (x)$
44369	Solve for n	4n^2+3=75	$4 n^{2} + 3 = 75$
44370	Solve for x	2x^3+x^2-3x=0	$2 x^{3} + x^{2} - 3 x = 0$
44371	Solve for x	2/3 log base 3 of x=2	$\frac{2}{3} \log_{3} (x) = 2$
44372	Solve by Addition/Elimination	2x+6y=-28 x+3y=-14	$2 x + 6 y = - 28$ $x + 3 y = - 14$
44373	Integrate By Parts	integral of e^(-theta)cos(2theta) with respect to theta	$\int e^{- θ} \cos (2 θ) d θ$
44374	Solve for x	f(-x)=4x^2+2x-4	$f (- x) = 4 x^{2} + 2 x - 4$
44375	Solve for x	3/(x-2)-2/(x+3)=1	$\frac{3}{x - 2} - \frac{2}{x + 3} = 1$
44376	Solve the System of Equations	3x+2y-z=17 x-2y-4z=5 2x+y+2z=5	$3 x + 2 y - z = 17$ $x - 2 y - 4 z = 5$ $2 x + y + 2 z = 5$
44377	Find the Derivative - d/dx	d/(dx)(-4x^-2-5x^(-5/2))	$\frac{d}{d x} (- 4 x^{- 2} - 5 x^{- \frac{5}{2}})$
44378	Evaluate the Integral	integral of x^2+y^2 with respect to x	$\int x^{2} + y^{2} d x$
44379	Graph	y=3sin(3/4)(x+(2pi)/3)+5	$y = 3 \sin (\frac{3}{4}) (x + \frac{2 π}{3}) + 5$
44380	Find the Discriminant	3(x^2+16)=0	$3 (x^{2} + 16) = 0$
44381	Simplify	(x^2+9x+20)-(x+4)	$(x^{2} + 9 x + 20) - (x + 4)$
44382	Convert to Radical Form	16^(-3/4)	$16^{\frac{- 3}{4}}$
44383	Simplify	(4ab)/(cx+dx)*(ax+bx)/(2ab)	$\frac{4 a b}{c x + d x} \cdot \frac{a x + b x}{2 a b}$
44384	Graph	0^x	$0^{x}$
44385	Evaluate	-2(1-4x)=3x+8	$- 2 (1 - 4 x) = 3 x + 8$
44386	Solve for x	(17x-1)^2-2(17x-1)-3=0	${(17 x - 1)}^{2} - 2 (17 x - 1) - 3 = 0$
44387	Simplify	(1+tan(x)^2)sin(x)^2	$(1 + \tan^{2} (x)) \sin^{2} (x)$
44388	Solve the Inequality for m	-3<m-5<-1	$- 3 < m - 5 < - 1$
44389	Solve for v	-3v+12v+6=7v+30	$- 3 v + 12 v + 6 = 7 v + 30$
44390	Find the Antiderivative	sin(x)*e^x	$\sin (x) \cdot e^{x}$
44391	Multiply	x/2*x	$\frac{x}{2} \cdot x$
44392	Solve for n	n+-36=12	$n + - 36 = 12$
44393	Solve by Substitution	y=-1/2x^2 y=x-4	$y = - \frac{1}{2} x^{2}$ $y = x - 4$
44394	Simplify	(x^2-25)/(3x-7)	$\frac{x^{2} - 25}{3 x - 7}$
44395	Solve for x	5/2-2x=5/2x-3+x	$\frac{5}{2} - 2 x = \frac{5}{2} x - 3 + x$
44396	Simplify	( cube root of 128r^4)( cube root of 108r)	$(\sqrt[3]{128 r^{4}}) (\sqrt[3]{108 r})$
44397	Simplify the Radical Expression	square root of -20* square root of -5	$\sqrt{- 20} \cdot \sqrt{- 5}$
44398	Graph	(dy)/(dx)=x^2+y^2	$\frac{d y}{d x} = x^{2} + y^{2}$
44399	Solve for x	3/2(x+3/5)=-3/5	$\frac{3}{2} (x + \frac{3}{5}) = - \frac{3}{5}$
44400	Solve for x	square root of 2sin(x)^2+cos(x)=0	$\sqrt{2} \sin^{2} (x) + \cos (x) = 0$