Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41801	Solve the Inequality for t	t+2>10	$t + 2 > 10$
41802	Find the Geometric Mean	4 and 36	$4$ and $36$
41803	Solve using Gaussian Elimination	2x+3y-z=2 3x+5y+z=4	$2 x + 3 y - z = 2$ $3 x + 5 y + z = 4$
41804	Solve for x	(3x)/(x-3)=7/2	$\frac{3 x}{x - 3} = \frac{7}{2}$
41805	Evaluate	(x^-7y^4)/(x^7y^4)	$\frac{x^{- 7} y^{4}}{x^{7} y^{4}}$
41806	Solve for x	0=(2x-5)/3	$0 = \frac{2 x - 5}{3}$
41807	Simplify the Radical Expression	( square root of 75x^5y)/( square root of 28xy^3)	$\frac{\sqrt{75 x^{5} y}}{\sqrt{28 x y^{3}}}$
41808	Evaluate	k+12/k=8	$k + \frac{12}{k} = 8$
41809	Solve the Inequality for x	5/x+6/(5x)>2/3	$\frac{5}{x} + \frac{6}{5 x} > \frac{2}{3}$
41810	Describe the Transformation	3f(x-2)	$3 f (x - 2)$
41811	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 7+4x^2)/(2x+5)	$lim_{x \to - \infty} \frac{\sqrt{7 + 4 x^{2}}}{2 x + 5}$
41812	Find the Third Derivative	f(x)=-1/4x^5+1/20x^6+1/4x^-3+1/2x^3	$f (x) = - \frac{1}{4} x^{5} + \frac{1}{20} x^{6} + \frac{1}{4} x^{- 3} + \frac{1}{2} x^{3}$
41813	Find the Next Term	81 , -27 , 9 , -3 , 1 , -1/3	$81$ , $- 27$ , $9$ , $- 3$ , $1$ , $- \frac{1}{3}$
41814	Evaluate	2*(-( square root of 3)/2)	$2 \cdot (- \frac{\sqrt{3}}{2})$
41815	Graph	f^-1(x)=x^2-4x+4	$f^{- 1} (x) = x^{2} - 4 x + 4$
41816	Find the Domain and Range	2x+y=0	$2 x + y = 0$
41817	Evaluate the Integral	integral from 0 to 2 of (4x^3-3x^2+2x) with respect to x	$\int_{0}^{2} (4 x^{3} - 3 x^{2} + 2 x) d x$
41818	Simplify	((xy+xz)/(xz-z^2)*(xy-yz)/(xz+yz))÷((y^2+yz)/(x^2+xy))	$\frac{x y + x z}{x z - z^{2}} \cdot \frac{x y - y z}{x z + y z} \div \frac{y^{2} + y z}{x^{2} + x y}$
41819	Solve the Inequality for p	-4p<2/3	$- 4 p < \frac{2}{3}$
41820	Solve the Inequality for x	log base 3 of 1-x> = log base 3 of x+16-x^2	$\log_{3} (1 - x) \geq \log_{3} (x + 16 - x^{2})$
41821	Evaluate	8/5*5/2-12	$\frac{8}{5} \cdot \frac{5}{2} - 12$
41822	Graph	F(x)=-1/(x^2-10x+25)	$F (x) = \frac{- 1}{x^{2} - 10 x + 25}$
41823	Determine if a Polynomial	-(t^2)/s	$- \frac{t^{2}}{s}$
41824	Simplify	square root of -9* square root of -16* square root of 32	$\sqrt{- 9} \cdot \sqrt{- 16} \cdot \sqrt{32}$
41825	Graph	Graph y<=2 square root of x-2-3	Graph $y \leq 2 \sqrt{x - 2} - 3$
41826	Solve the System of Inequalities	y>=2x-4 y>-x+2	$y \geq 2 x - 4$ $y > - x + 2$
41827	Solve for x	6÷x=3	$6 \div x = 3$
41828	Solve the System of Inequalities	y>x-5 y>-2x-8	$y > x - 5$ $y > - 2 x - 8$
41829	Solve for y	-3=-2y^3-5	$- 3 = - 2 y^{3} - 5$
41830	Solve the Inequality for w	29-2(3-5w)>=13	$29 - 2 (3 - 5 w) \geq 13$
41831	Simplify	sin(x)^2+tan(x)^2	$\sin^{2} (x) + \tan^{2} (x)$
41832	Multiply	x(2x^2+1)	$x (2 x^{2} + 1)$
41833	Find the Exact Value	-6f(3)-6g(-1)	$- 6 \cdot f (3) - 6 \cdot g (- 1)$
41834	Evaluate	(45x^4y^6)/((5xy)^3)	$\frac{45 x^{4} y^{6}}{{(5 x y)}^{3}}$
41835	Find the Antiderivative	(x+1)^-2	${(x + 1)}^{- 2}$
41836	Find the Equation Using Slope-Intercept Form	m=-2 and (2,4)	$m = - 2$ and $(2, 4)$
41837	Evaluate	square root of 14-2 square root of 13* square root of 14+2 square root of 13	$\sqrt{14 - 2 \sqrt{13}} \cdot \sqrt{14 + 2 \sqrt{13}}$
41838	Evaluate	15% of 30	$15 %$ of $30$
41839	Solve for x	log base 3 of x+ log base 3 of 6>=2	$\log_{3} (x) + \log_{3} (6) \geq 2$
41840	Find the Slope	(-2,4) and (10,-2)	$(- 2, 4)$ and $(10, - 2)$
41841	Solve for b	a=bc+ba	$a = b c + b a$
41842	Evaluate	cot((17pi)/6)	$\cot (\frac{17 π}{6})$
41843	Solve for t	t = square root of m/4.9	$t = \sqrt{\frac{m}{4.9}}$
41844	Find the Exact Value	tan(675 degrees )	$\tan (675 °)$
41845	Simplify	(3x^2-4x+1)(2x-3x^2+5)	$(3 x^{2} - 4 x + 1) (2 x - 3 x^{2} + 5)$
41846	Solve for n	n+5=n+7	$n + 5 = n + 7$
41847	Simplify	((x^2-4x-45)/(x^2-x-30)*(x^2-36)/(36-x^2))÷((x-9)/(6x))	$\frac{x^{2} - 4 x - 45}{x^{2} - x - 30} \cdot \frac{x^{2} - 36}{36 - x^{2}} \div \frac{x - 9}{6 x}$
41848	Factor	2ac-4bd+bc-8ad	$2 a c - 4 b d + b c - 8 a d$
41849	Add	(-8x^2+10x+4)-(-4x+10)	$(- 8 x^{2} + 10 x + 4) - (- 4 x + 10)$
41850	Find the Inverse	f(x)=2(x-6)^(1/3)+10	$f (x) = 2 {(x - 6)}^{\frac{1}{3}} + 10$
41851	Solve for θ	(cot(theta)- square root of 3)(2sin(theta)+ square root of 3)=0	$(\cot (θ) - \sqrt{3}) (2 \sin (θ) + \sqrt{3}) = 0$
41852	Evaluate the Integral	integral from 1 to e of ( square root of natural log of x)/x with respect to x	$\int_{1}^{e} \frac{\sqrt{\ln (x)}}{x} d x$
41853	Simplify	f(2+h)-f(2)	$f (2 + h) - f (2)$
41854	Evaluate	0^2+0+1	$0^{2} + 0 + 1$
41855	Find the Derivative - d/dx	4x^2-1/x	$4 x^{2} - \frac{1}{x}$
41856	Find the Equation Using Slope-Intercept Form	m=2 and b=-3	$m = 2$ and $b = - 3$
41857	Simplify	(a^2+b^2)/(a-b)-a	$\frac{(a^{2} + b^{2})}{a - b} - a$
41858	Find the Antiderivative	f(x)=4e^(-2x)+(x-1)^3	$f (x) = 4 e^{- 2 x} + {(x - 1)}^{3}$
41859	Simplify	( square root of 5x)/(2 square root of 15x^4)	$\frac{\sqrt{5 x}}{2 \sqrt{15 x^{4}}}$
41860	Simplify	(x^2-1)*(x^3+2x)	$(x^{2} - 1) \cdot (x^{3} + 2 x)$
41861	Divide Using Long Polynomial Division	(10x^5+x^3+5x^2-2x-2)÷(5x^2-2)	$(10 x^{5} + x^{3} + 5 x^{2} - 2 x - 2) \div (5 x^{2} - 2)$
41862	Simplify	((6x^3+12x^2-210x)/(x^2-49)*(6x)/(2x^3-50x))÷((x+7)/(x^2-49))	$\frac{6 x^{3} + 12 x^{2} - 210 x}{x^{2} - 49} \cdot \frac{6 x}{2 x^{3} - 50 x} \div \frac{x + 7}{x^{2} - 49}$
41863	Simplify	(x^2-6x)/(x^2-4x+4)+(4x)/(x^2-4x+4)	$\frac{x^{2} - 6 x}{x^{2} - 4 x + 4} + \frac{4 x}{x^{2} - 4 x + 4}$
41864	Find the LCM	7m-21 and 14m-42	$7 m - 21$ and $14 m - 42$
41865	Solve for v	9=v÷5	$9 = v \div 5$
41866	Graph	f(x)=-(x-1)/(2x-4)	$f (x) = - \frac{x - 1}{2 x - 4}$
41867	Solve for w	2w^2+9w-10=6w	$2 w^{2} + 9 w - 10 = 6 w$
41868	Solve the Inequality for x	9x-7<=4x	$9 x - 7 \leq 4 x$
41869	Simplify	(1-x+4x^2-8x^3)+(2x^3+x^2-6x-3)-(5x^3+8x^2)	$(1 - x + 4 x^{2} - 8 x^{3}) + (2 x^{3} + x^{2} - 6 x - 3) - (5 x^{3} + 8 x^{2})$
41870	Solve for x in Radians	sin(2x)+2cos(x)=0	$\sin (2 x) + 2 \cos (x) = 0$
41871	Solve the Inequality for x	-(5x)/6>=22	$- \frac{5 x}{6} \geq 22$
41872	Divide Using Long Polynomial Division	8x^3+24x^2+24x+7 divided by 2x+1	$8 x^{3} + 24 x^{2} + 24 x + 7$ divided by $2 x + 1$
41873	Solve for B	3B-2=10	$3 B - 2 = 10$
41874	Find the Asymptotes	f(x)=(2x-8)/(3x^2+x+1)	$f (x) = \frac{2 x - 8}{3 x^{2} + x + 1}$
41875	Solve the Inequality for k	k-17<=-(17-k)	$k - 17 \leq - (17 - k)$
41876	Solve the Inequality for n	12n>135+4.50n	$12 n > 135 + 4.5 n$
41877	Solve for F	R = square root of (Fx)^2+(Fy)^2	$R = \sqrt{{(F x)}^{2} + {(F y)}^{2}}$
41878	Factor	y=x^3+3x^2-10x	$y = x^{3} + 3 x^{2} - 10 x$
41879	Simplify	((x-2)/(x^2+x-6))÷((x^2+5x+4)/(x+4))	$\frac{x - 2}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 4}$
41880	Simplify	(8d-3)/9+(4d+12)/9	$\frac{8 d - 3}{9} + \frac{4 d + 12}{9}$
41881	Solve for θ	-90 degrees <=theta<=90 degrees	$- 90 ° \leq θ \leq 90 °$
41882	Determine if a Polynomial	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
41883	Find the Derivative - d/dx	\|x^2-4x\|	$\| x^{2} - 4 x \|$
41884	Divide Using Long Polynomial Division	6x^3+25x^2+18x+14 is divided by 2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14$ is divided by $2 x + 7$
41885	Solve for x	4x+2(2x-3)=4(2x-2)+2	$4 x + 2 (2 x - 3) = 4 (2 x - 2) + 2$
41886	Solve for m	cube root of 3m+1=4	$\sqrt[3]{3 m + 1} = 4$
41887	Solve the Function Operation	Find f(x+h) for f(x)=x^2+2x	Find $f (x + h)$ for $f (x) = x^{2} + 2 x$
41888	Solve for x	e^(2x+1)=1-2x	$e^{2 x + 1} = 1 - 2 x$
41889	Solve for h	B/4=V/h	$\frac{B}{4} = \frac{V}{h}$
41890	Solve for k	log of -4k = log of 3k+10	$\log (- 4 k) = \log (3 k + 10)$
41891	Find the Exact Value	cos(-540 degrees )	$\cos (- 540 °)$
41892	Evaluate from the Left	limit as x approaches 2 of x+3	$lim_{x \to 2} x + 3$
41893	Evaluate	(1^2+4)*6-(5-4)	$(1^{2} + 4) \cdot 6 - (5 - 4)$
41894	Find the Roots (Zeros)	y=4x^6-12x^5-x^4+2x^3-6x^2-5x+10	$y = 4 x^{6} - 12 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} - 5 x + 10$
41895	Graph	f(x)+f(x+1)=x^2+2x+3	$f (x) + f (x + 1) = x^{2} + 2 x + 3$
41896	Find the Exact Value	4/3(sin(255)+sin(15))	$\frac{4}{3} (\sin (255) + \sin (15))$
41897	Graph	y=1/2sec(2x-pi)	$y = \frac{1}{2} \sec (2 x - π)$
41898	Find the Axis of Symmetry	y=-1/12x^2	$y = - \frac{1}{12} x^{2}$
41899	Find the Exact Value	7+102^2-23	$7 + 10 \cdot 2^{2} - 2 \cdot 3$
41900	Write in Exponential Form	cube root of square root of 2x	$\sqrt[3]{\sqrt{2 x}}$