Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217501	Simplify	(2e^x)^2	${(2 e^{x})}^{2}$
217502	Evaluate	(-1-(-1))^2	${(- 1 - (- 1))}^{2}$
217503	Convert to a Decimal	-390deg	$- 390$ degrees
217504	Multiply	(10b^2+70b)/(8b-24)*(8b-24)/(10b^2+40b)	$\frac{10 b^{2} + 70 b}{8 b - 24} \cdot \frac{8 b - 24}{10 b^{2} + 40 b}$
217505	Solve for x	-1/3(6x-21)=-5(x+1)	$- \frac{1}{3} (6 x - 21) = - 5 (x + 1)$
217506	Simplify	(x^-2)^2(3xy^5)^4	${(x^{- 2})}^{2} {(3 x y^{5})}^{4}$
217507	Simplify	(9-3x)/(18-6x)	$\frac{9 - 3 x}{18 - 6 x}$
217508	Solve the Inequality for x	4<=x/4+4	$4 \leq \frac{x}{4} + 4$
217509	Convert to a Decimal	400deg	$400$ degrees
217510	Simplify	(r/(r-5))÷((r^2)/(r^2-25))	$\frac{r}{r - 5} \div \frac{r^{2}}{r^{2} - 25}$
217511	Simplify	(16c^4d^4-24c^2d^2)/(4c^2d^2)	$\frac{16 c^{4} d^{4} - 24 c^{2} d^{2}}{4 c^{2} d^{2}}$
217512	Simplify	square root of 4x^2- square root of 16y^4	$\sqrt{4 x^{2}} - \sqrt{16 y^{4}}$
217513	Solve the System of Equations	y=3x^2+2 9x+y=-4	$y = 3 x^{2} + 2$ $9 x + y = - 4$
217514	Simplify	(6(7+x)^(1/3)-x(7+x)^(-2/3))/((7+x)^(2/3))	$\frac{6 {(7 + x)}^{\frac{1}{3}} - x {(7 + x)}^{- \frac{2}{3}}}{{(7 + x)}^{\frac{2}{3}}}$
217515	Find the Domain and Range	f(x)=tan(x-pi/2)	$f (x) = \tan (x - \frac{π}{2})$
217516	Divide	(4x)/(9x^(1/2))	$\frac{4 x}{9 x^{\frac{1}{2}}}$
217517	Solve the System of Inequalities	y<=x-5 y<-1/2x-2	$y \leq x - 5$ $y < - \frac{1}{2} x - 2$
217518	Factor by Grouping	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$
217519	Solve for x	1+ square root of x = square root of x^2+1	$1 + \sqrt{x} = \sqrt{x^{2} + 1}$
217520	Simplify	3^(1/4)*3^(1/4)	$3^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}$
217521	Solve the Rational Equation for n	-2=-5+ square root of n+7	$- 2 = - 5 + \sqrt{n + 7}$
217522	Solve for y	cube root of 19y+40=3 cube root of y	$\sqrt[3]{19 y + 40} = 3 \sqrt[3]{y}$
217523	Convert to Interval Notation	(x-8)/4<=(x-4)/6+1/12	$\frac{x - 8}{4} \leq \frac{x - 4}{6} + \frac{1}{12}$
217524	Simplify	(12x-5y-1)+(17y-4-13x-3y)	$(12 x - 5 y - 1) + (17 y - 4 - 13 x - 3 y)$
217525	Solve the System of Equations	x^2+y^2=4 y=x-2	$x^{2} + y^{2} = 4$ $y = x - 2$
217526	Solve for x	x-y+z=A	$x - y + z = A$
217527	Simplify	(4(9)^(1/2))/9	$\frac{4 {(9)}^{\frac{1}{2}}}{9}$
217528	Graph	- cube root of x-1	$- \sqrt[3]{x} - 1$
217529	Find the Holes in the Graph	(x^2-25)/(x^2-4x-45)	$\frac{x^{2} - 25}{x^{2} - 4 x - 45}$
217530	Simplify	-x^4y^2-2x^2y^4z^6x^9y^3z^4	$- x^{4} y^{2} \cdot - 2 x^{2} y^{4} z^{6} \cdot x^{9} y^{3} z^{4}$
217531	Write in Standard Form	(x-2)^2+3	${(x - 2)}^{2} + 3$
217532	Simplify the Radical Expression	square root of 2/(7b)	$\sqrt{\frac{2}{7 b}}$
217533	Simplify the Radical Expression	(p^21q^-15r^-3)^(1/3)	${(p^{21} q^{- 15} r^{- 3})}^{\frac{1}{3}}$
217534	Solve by Factoring	x^2-2x+5=2	$x^{2} - 2 x + 5 = 2$
217535	Solve for x	-4/(x^2-5x+6)=(2x)/(x-2)	$\frac{- 4}{x^{2} - 5 x + 6} = \frac{2 x}{x - 2}$
217536	Solve for r	6(-r+8)=-5(-13r+16)-14	$6 (- r + 8) = - 5 (- 13 r + 16) - 14$
217537	Multiply	(x+4)/(3x)*(4x^2)/(x^2+9x+20)	$\frac{x + 4}{3 x} \cdot \frac{4 x^{2}}{x^{2} + 9 x + 20}$
217538	Factor	x^2-ac-cx+ax	$x^{2} - a c - c x + a x$
217539	Solve for x	x+3-4/(x-1)=5	$x + 3 - \frac{4}{x - 1} = 5$
217540	Evaluate	5*(-2w-4)	$5 \cdot (- 2 w - 4)$
217541	Evaluate	i^38*i^9	$i^{38} \cdot i^{9}$
217542	Solve by Substitution	-5x+y=-3 and 3x-8y=24	$- 5 x + y = - 3$ and $3 x - 8 y = 24$
217543	Simplify	24÷8-4^2	$24 \div 8 - 4^{2}$
217544	Solve for z	-7(2z-18)=-16z	$- 7 (2 z - 18) = - 16 z$
217545	Evaluate	(23^20-53^19)/((-9)^9)	$\frac{2 \cdot 3^{20} - 5 \cdot 3^{19}}{{(- 9)}^{9}}$
217546	Find the Domain and Range	y=3- square root of 2x	$y = 3 - \sqrt{2 x}$
217547	Solve for x	1/x+1/(2x)=1/(6a)	$\frac{1}{x} + \frac{1}{2 x} = \frac{1}{6 a}$
217548	Find the Equation Using Two Points	(3,3) and (1,-3)	$(3, 3)$ and $(1, - 3)$
217549	Solve the Inequality for x	(-3+x)/9<=-2	$\frac{- 3 + x}{9} \leq - 2$
217550	Simplify	(-1-1)/(-1+1)	$\frac{- 1 - 1}{- 1 + 1}$
217551	Solve for t	25(1-e^t)=12	$25 (1 - e^{t}) = 12$
217552	Simplify	(4+4i)/(1+i)	$\frac{4 + 4 i}{1 + i}$
217553	Solve the Inequality for x	tan(x)<1	$\tan (x) < 1$
217554	Multiply	(3a^2-5ab+2b^2)*(4a-5b)	$(3 a^{2} - 5 a b + 2 b^{2}) \cdot (4 a - 5 b)$
217555	Simplify	(2x)/(4x^2+9x+2)+3/(2x^2-8x-24)	$\frac{2 x}{4 x^{2} + 9 x + 2} + \frac{3}{2 x^{2} - 8 x - 24}$
217556	Solve for b	63=7(1+4b)	$63 = 7 (1 + 4 b)$
217557	Find the Roots (Zeros)	f(x) = log base 2 of x+3	$f (x) = \log_{2} (x + 3)$
217558	Solve for x	sin(arcsin(x))=1	$\sin (\arcsin (x)) = 1$
217559	Simplify	2 cube root of 16+5 cube root of 54- cube root of 250+1/2 cube root of 128	$2 \sqrt[3]{16} + 5 \sqrt[3]{54} - \sqrt[3]{250} + \frac{1}{2} \sqrt[3]{128}$
217560	Graph	x+y=27 y=x+3	$x + y = 27$ $y = x + 3$
217561	Simplify	(x^3+x^2-4x-4)/(x^3+2x^2-x-2)	$\frac{x^{3} + x^{2} - 4 x - 4}{x^{3} + 2 x^{2} - x - 2}$
217562	Solve the Rational Equation for x	2 square root of x=14	$2 \sqrt{x} = 14$
217563	Solve the System of Equations	y=2x^2+x 2x+y=20	$y = 2 x^{2} + x$ $2 x + y = 20$
217564	Solve for x	12.25+x=4 1/2	$12.25 + x = 4 \frac{1}{2}$
217565	Simplify	2i^68+i^71+3i^40+6i^9	$2 i^{68} + i^{71} + 3 i^{40} + 6 i^{9}$
217566	Simplify	3^(3/4)*0.3^(1/4)	$3^{\frac{3}{4}} \cdot {0.3}^{\frac{1}{4}}$
217567	Solve for x	square root of 4x+16=0	$\sqrt{4 x} + 16 = 0$
217568	Solve for g	-18-4(-2g-15)=5g	$- 18 - 4 (- 2 g - 15) = 5 g$
217569	Simplify	((x^2-2x-3)/(x+1))÷((x-3)/5)	$\frac{(x^{2} - 2 x - 3)}{(x + 1)} \div \frac{(x - 3)}{5}$
217570	Divide	(x^2+5x+6)/(x^2)	$\frac{x^{2} + 5 x + 6}{x^{2}}$
217571	Evaluate	-2(11-12x)=-4(1-6x)	$- 2 (11 - 12 x) = - 4 (1 - 6 x)$
217572	Find the Domain and Range	y=-3sin(pix)	$y = - 3 \sin (π x)$
217573	Solve the Inequality for z	1/9z>=-2/3	$\frac{1}{9} z \geq - \frac{2}{3}$
217574	Evaluate	5(2pi)	$5 (2 π)$
217575	Solve for y	-2/(y-4)=-6/(3y-12)+2	$- \frac{2}{y - 4} = - \frac{6}{3 y - 12} + 2$
217576	Write the Fraction in Simplest Form	(5(u^-3)^2)/(2u^8)	$\frac{5 {(u^{- 3})}^{2}}{2 u^{8}}$
217577	Simplify the Radical Expression	x*x^(1/2)	$x \cdot x^{\frac{1}{2}}$
217578	Solve by Addition/Elimination	6x=4y-42 4x+y=5	$6 x = 4 y - 42$ $4 x + y = 5$
217579	Simplify	(8+2i)/(8-4i)	$\frac{8 + 2 i}{8 - 4 i}$
217580	Graph	y=( square root of 2)^x	$y = {(\sqrt{2})}^{x}$
217581	Write the Fraction in Simplest Form	(15p^-1d^9)/(3(p^2d^3)^-3)	$\frac{15 p^{- 1} d^{9}}{3 {(p^{2} d^{3})}^{- 3}}$
217582	Determine if Dependent, Independent, or Inconsistent	-x-3y=0 x-y=4	$- x - 3 y = 0$ $x - y = 4$
217583	Simplify	1/( log base 2 of 30)+1/( log base 3 of 30)+1/( log base 5 of 30)	$\frac{1}{\log_{2} (30)} + \frac{1}{\log_{3} (30)} + \frac{1}{\log_{5} (30)}$
217584	Evaluate	6^-8*0.6^5	$6^{- 8} \cdot {0.6}^{5}$
217585	Simplify	(2a^5)^0*(2a^3b^4)^5	${(2 a^{5})}^{0} \cdot {(2 a^{3} b^{4})}^{5}$
217586	Solve the Inequality for k	14<k+11	$14 < k + 11$
217587	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-3x^3+2x^5+x+8x^3-6+x^4-3x^2	$f (x) = - 3 x^{3} + 2 x^{5} + x + 8 x^{3} - 6 + x^{4} - 3 x^{2}$
217588	Graph	x-y=6 y=-2x	$x - y = 6$ $y = - 2 x$
217589	Write the Fraction in Simplest Form	(x^6)/(x^8)	$\frac{x^{6}}{x^{8}}$
217590	Subtract	3 2/3-20/12	$3 \frac{2}{3} - \frac{20}{12}$
217591	Evaluate	csc(225)	$\csc (225)$
217592	Simplify	((12x-6)/(3x))	$(\frac{12 x - 6}{3 x})$
217593	Evaluate	25x^2-3=0	$25 x^{2} - 3 = 0$
217594	Divide Using Synthetic Division	(x^3+5x-6x-49)/(x-3)	$\frac{x^{3} + 5 x - 6 x - 49}{x - 3}$
217595	Solve the Inequality for x	8<2x<x+8	$8 < 2 x < x + 8$
217596	Simplify	1/(csc(x)-cot(x))+1/(csc(x)+cot(x))	$\frac{1}{\csc (x) - \cot (x)} + \frac{1}{\csc (x) + \cot (x)}$
217597	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-7x^3+x^2-18x-9 is divided by x-3	Use synthetic division to find the result when $3 x^{4} - 7 x^{3} + x^{2} - 18 x - 9$ is divided by $x - 3$
217598	Solve for x	(9.8(68.1))/x(1-e^(-0.146843x))-40=0	$\frac{9.8 (68.1)}{x} (1 - e^{- 0.146843 x}) - 40 = 0$
217599	Solve for x	7/x=(2x)/8	$\frac{7}{x} = \frac{2 x}{8}$
217600	Solve for x	-f(x)=3x^2+2x-4	$- f (x) = 3 x^{2} + 2 x - 4$