Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13501	Convert to a Decimal	145deg	$145$ degrees
13502	Write the Fraction in Simplest Form	(-12h^-4)/((4h^-5)^4)	$\frac{- 12 h^{- 4}}{{(4 h^{- 5})}^{4}}$
13503	Solve the Inequality for m	\|2-(5m)/2\|<14	$\| 2 - \frac{5 m}{2} \| < 14$
13504	Simplify	((-8xy)^2-x^2y^2)/(-9y^3)	$\frac{{(- 8 x y)}^{2} - x^{2} y^{2}}{- 9 y^{3}}$
13505	Find the x and y Intercepts	f(x)=3e^(x-1)+4	$f (x) = 3 e^{x - 1} + 4$
13506	Find the LCM	2 and 3	$2$ and $3$
13507	Factor	12x^3-3x^2=0	$12 x^{3} - 3 x^{2} = 0$
13508	Convert to a Decimal	6rev per s	$6$ revolutions per second
13509	Find the Slope	(9,-4) and (1,-4)	$(9, - 4)$ and $(1, - 4)$
13510	Solve by Substitution	x-y=-11 y+7=-2x	$x - y = - 11$ $y + 7 = - 2 x$
13511	Simplify	(x^2-3x-10)/((x+3)/((2x^2-7x-15)/(x^2-9)))	$\frac{x^{2} - 3 x - 10}{\frac{x + 3}{\frac{2 x^{2} - 7 x - 15}{x^{2} - 9}}}$
13512	Simplify	cube root of (x^3)/(4x^4)	$\sqrt[3]{\frac{x^{3}}{4 x^{4}}}$
13513	Solve for n	-1n+1=11	$- 1 n + 1 = 11$
13514	Solve the Function Operation	f(x)=x^2-7x-9 g(x)=-5x-11 Find: (gof)(x)	$f (x) = x^{2} - 7 x - 9$ $g (x) = - 5 x - 11$ Find: $((g \circ f)) (x)$
13515	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)^3) with respect to x	$\int \frac{\sin (x)}{\cos^{3} (x)} d x$
13516	Solve for x	8/(5x)-8/x=-4/5	$\frac{8}{5 x} - \frac{8}{x} = \frac{- 4}{5}$
13517	Solve for d	6/d=36/42	$\frac{6}{d} = \frac{36}{42}$
13518	Solve for z in Degrees	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
13519	Simplify	(-5^7)÷(-5^2)	$- 5^{7} \div (- 5^{2})$
13520	Find the Exact Value	sin(pi/4)-sin(pi/4)	$\sin (\frac{π}{4}) - \sin (\frac{π}{4})$
13521	Solve the Function Operation	Given f(x)=-x-4 ; find f(4)	Given $f (x) = - x - 4$ ; find $f (4)$
13522	Simplify the Radical Expression	8 fourth root of 32- fourth root of 162	$8 \sqrt[4]{32} - \sqrt[4]{162}$
13523	Simplify	-2/(-4+ square root of 14)	$\frac{- 2}{- 4 + \sqrt{14}}$
13524	Find the Exact Value	(1/2)/(-( square root of 3)/2)	$\frac{\frac{1}{2}}{- \frac{\sqrt{3}}{2}}$
13525	Simplify	(5x)/( cube root of x)	$\frac{5 x}{\sqrt[3]{x}}$
13526	Simplify	fourth root of 2* fifth root of 2^4	$\sqrt[4]{2} \cdot \sqrt[5]{2^{4}}$
13527	Simplify	(-x^2+5x+2)+(6x^2+x)	$(- x^{2} + 5 x + 2) + (6 x^{2} + x)$
13528	Graph	y<(x^2-5x+4)/(x-4)	$y < \frac{x^{2} - 5 x + 4}{x - 4}$
13529	Solve the System of Equations	x+2y+3z=0 2x+y+3z=0 3x+2z=1	$x + 2 y + 3 z = 0$ $2 x + y + 3 z = 0$ $3 x + 2 z = 1$
13530	Graph	C=(5f-160)/9	$C = \frac{5 f - 160}{9}$
13531	Subtract	(7.8x-3.4y+z)-(9.2x-8.2y+3.1z)	$(7.8 x - 3.4 y + z) - (9.2 x - 8.2 y + 3.1 z)$
13532	Solve for b	2b+8-5b+3=13+8b-5	$2 b + 8 - 5 b + 3 = 13 + 8 b - 5$
13533	Solve for n	(3n+7)^(1/4)=4	${(3 n + 7)}^{\frac{1}{4}} = 4$
13534	Solve for v	8/3=(v-9)/(7v+4)	$\frac{8}{3} = \frac{v - 9}{7 v + 4}$
13535	Divide	(x^6-4x^4+3x^2)/(5x^2)	$\frac{x^{6} - 4 x^{4} + 3 x^{2}}{5 x^{2}}$
13536	Evaluate the Integral	integral from 1 to 2 of (v^4+4v^8)/(v^5) with respect to v	$\int_{1}^{2} \frac{v^{4} + 4 v^{8}}{v^{5}} d v$
13537	Simplify	(3x+2y+z)^2	${(3 x + 2 y + z)}^{2}$
13538	Simplify	(a+b)^-3(a+b)^2(a+b)^-2	${(a + b)}^{- 3} {(a + b)}^{2} {(a + b)}^{- 2}$
13539	Simplify	((24x^5yz^-2)/(3x^2y^3z^4))^2	${(\frac{24 x^{5} y z^{- 2}}{3 x^{2} y^{3} z^{4}})}^{2}$
13540	Write the Fraction in Simplest Form	(4b^-8)/((-3b^5)^5)	$\frac{4 b^{- 8}}{{(- 3 b^{5})}^{5}}$
13541	Multiply	2*2 square root of 3	$2 \cdot 2 \sqrt{3}$
13542	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x-1	$f (x) = x - 1$
13543	Simplify the Matrix	((a^2b^-3)/(a^-2b^2))^2 , a!=0 , b!=0	${(\frac{a^{2} b^{- 3}}{a^{- 2} b^{2}})}^{2}$ , $a \neq 0$ , $b \neq 0$
13544	Simplify	(-5i)+(6i)-(-4+7i)	$(- 5 i) + (6 i) - (- 4 + 7 i)$
13545	Solve for x	-3.1x+7-7.4x=1.5x-6(x-3/2)	$- 3.1 x + 7 - 7.4 x = 1.5 x - 6 (x - \frac{3}{2})$
13546	Find the Domain	g(t)=sin(e^t-4)	$g (t) = \sin (e^{t} - 4)$
13547	Simplify	(3+5i)(2-7i^4)	$(3 + 5 i) (2 - 7 i^{4})$
13548	Find the Critical Points	f(x) = square root of 3sin(x)+cos(x)	$f (x) = \sqrt{3} \sin (x) + \cos (x)$
13549	Simplify	square root of 16x^3 square root of 4x	$\sqrt{16 x^{3}} \sqrt{4 x}$
13550	Solve for x	Solve 3^(x+6)=3^4	Solve $3^{x + 6} = 3^{4}$
13551	Find the Slope	(4,-7) and (2,-7)	$(4, - 7)$ and $(2, - 7)$
13552	Find the Degree	9y^4-8x^2+3x^5	$9 y^{4} - 8 x^{2} + 3 x^{5}$
13553	Solve the Inequality for x	(x+2)/2>=-7-x/2	$\frac{x + 2}{2} \geq - 7 - \frac{x}{2}$
13554	Simplify	5/(4x^2)+3/(8x)	$\frac{5}{4 x^{2}} + \frac{3}{8 x}$
13555	Solve for m	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
13556	Rationalize the Denominator	(6 square root of x)/( square root of 14)	$\frac{6 \sqrt{x}}{\sqrt{14}}$
13557	Simplify	(3ab-2de)^3	${(3 a b - 2 d e)}^{3}$
13558	Find the Degree	c^4 square root of 5+b^3-cb^4	$c^{4} \sqrt{5} + b^{3} - c b^{4}$
13559	Solve the Function Operation	Given f(x)=5x+1 ; find f(-3)	Given $f (x) = 5 x + 1$ ; find $f (- 3)$
13560	Multiply	e^(2x)*e^(2x)	$e^{2 x} \cdot e^{2 x}$
13561	Convert to a Decimal	pipi/2rad	$π \frac{π}{2}$ radians
13562	Solve for v	5v-6=-3(-2v+7)	$5 v - 6 = - 3 (- 2 v + 7)$
13563	Convert from Degrees to Radians	160deg	$160$ degrees
13564	Simplify the Matrix	p(x):\|5x+1\|=-6 q(x):\|x-1/2\|=2	$p (x) : \| 5 x + 1 \| = - 6$ $q (x) : \| x - \frac{1}{2} \| = 2$
13565	Evaluate	1/( log base 2 of 12)+1/( log base 8 of 12)+1/( log base 9 of 12)	$\frac{1}{\log_{2} (12)} + \frac{1}{\log_{8} (12)} + \frac{1}{\log_{9} (12)}$
13566	Find the Exact Value	sin(pi/4)+sin(pi/4)	$\sin (\frac{π}{4}) + \sin (\frac{π}{4})$
13567	Simplify	square root of 25x^11* cube root of 216x	$\sqrt{25 x^{11}} \cdot \sqrt[3]{216 x}$
13568	Find the Domain	y=(x^2+2)/(x^3-x)	$y = \frac{x^{2} + 2}{x^{3} - x}$
13569	Solve for s	\|3s+5\|-3<=-8	$\| 3 s + 5 \| - 3 \leq - 8$
13570	Graph Using a Table of Values	f(x)=4*(1/2)^x	$f (x) = 4 \cdot {(\frac{1}{2})}^{x}$
13571	Solve the Inequality for x	4 square root of x-2>18	$4 \sqrt{x} - 2 > 18$
13572	Solve for x	log base 6 of x> log base 6 of 4-x	$\log_{6} (x) > \log_{6} (4 - x)$
13573	Solve for b	2b+9/5=-11/5	$2 b + \frac{9}{5} = - \frac{11}{5}$
13574	Simplify	8(-1/2x^3y)^2-3y^5-x^6y^2	$8 {(- \frac{1}{2} x^{3} y)}^{2} - 3 y^{5} - x^{6} y^{2}$
13575	Simplify the Radical Expression	( cube root of x* square root of x^3)/( square root of 25x)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{3}}}{\sqrt{25 x}}$
13576	Evaluate the Function	f(1.5)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (1.5) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
13577	Solve the System of Inequalities	7x+3y<=-24 x+3y<=-6	$7 x + 3 y \leq - 24$ $x + 3 y \leq - 6$
13578	Solve for x	(y-a)/b=(x+b)/c	$\frac{y - a}{b} = \frac{x + b}{c}$
13579	Evaluate	sin(30 degrees )^2	$\sin^{2} (30 °)$
13580	Solve for x	10/(x^2+2x-15)=(x^2+10)/5	$\frac{10}{x^{2} + 2 x - 15} = \frac{x^{2} + 10}{5}$
13581	Find the Maximum/Minimum Value	f(x)=-x^3+15x^2-75x+125	$f (x) = - x^{3} + 15 x^{2} - 75 x + 125$
13582	Graph	y>=-x^2+x+6	$y \geq - x^{2} + x + 6$
13583	Find the Derivative - d/dy	y/(3y^2-x)	$\frac{y}{3 y^{2} - x}$
13584	Find the x and y Intercepts	(4x^2-16)/(-3x^2+6x)	$\frac{4 x^{2} - 16}{- 3 x^{2} + 6 x}$
13585	Find the Excluded Values	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
13586	Solve the Inequality for x	2x-2/3>=x-22	$2 x - \frac{2}{3} \geq x - 22$
13587	Simplify	(x^2-1)(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
13588	Multiply	13/5212/5126/50	$\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{26}{50}$
13589	Simplify	(7x)/4*(x^2)/7	$\frac{7 x}{4} \cdot \frac{x^{2}}{7}$
13590	Solve the Function Operation	cos(theta)=-12/13 , theta in Quadrant III	$\cos (θ) = - \frac{12}{13}$ , $θ$ in Quadrant $I \cdot I \cdot I$
13591	Determine if a Polynomial	4b^4+c+c^3	$4 b^{4} + c + c^{3}$
13592	Solve for t	h=62.5 cube root of t+75.8	$h = 62.5 \sqrt[3]{t} + 75.8$
13593	Solve using Gaussian Elimination	9x_2-7x_3=2 -x_3=-2 -3x_1+6x_2+8x_3=1	$9 x_{2} - 7 x_{3} = 2$ $- x_{3} = - 2$ $- 3 x_{1} + 6 x_{2} + 8 x_{3} = 1$
13594	Simplify	2x^9y^6+12xy*(x^8y^5)	$2 x^{9} y^{6} + 12 x y \cdot (x^{8} y^{5})$
13595	Solve for n	(n+2)^(1/2)=(2n-4)^(1/2)	${(n + 2)}^{\frac{1}{2}} = {(2 n - 4)}^{\frac{1}{2}}$
13596	Evaluate	(x^-1)/(x^-8)	$\frac{x^{- 1}}{x^{- 8}}$
13597	Solve for x	-6x+2=-2^(x+2)+6	$- 6 x + 2 = - 2^{x + 2} + 6$
13598	Simplify	(6ab^3c^4)(-3a^2b^3c)	$(6 a b^{3} c^{4}) (- 3 a^{2} b^{3} c)$
13599	Simplify the Radical Expression	fifth root of z^4z^(-3/2)	$\sqrt[5]{z^{4} z^{- \frac{3}{2}}}$
13600	Find the GCF	x^2+x	$x^{2} + x$