Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41701	Solve the Inequality for x	log base x of x+6=2	$\log_{x} (x + 6) = 2$
41702	Solve for x	3x^2=3-42x	$3 x^{2} = 3 - 42 x$
41703	Simplify	(6x+4x^4)+(7x+3x^4-8)	$(6 x + 4 x^{4}) + (7 x + 3 x^{4} - 8)$
41704	Evaluate the Limit	limit as x approaches infinity of (1+5e^x)^(1/x)	$lim_{x \to \infty} {(1 + 5 e^{x})}^{\frac{1}{x}}$
41705	Solve for y	x=(13(t-4y))/y	$x = \frac{13 (t - 4 y)}{y}$
41706	Find the Exact Value	csc(570 degrees )	$\csc (570 °)$
41707	Simplify	1+x/y	$1 + \frac{x}{y}$
41708	Find the Cosecant Given the Point	(- square root of 3,1)	$(- \sqrt{3}, 1)$
41709	Divide	(a^6b)/(a^4b^2)	$\frac{a^{6} b}{a^{4} b^{2}}$
41710	Verify the Identity	(tan(theta))/(cot(theta))=tan(theta)^2	$\frac{\tan (θ)}{\cot (θ)} = \tan^{2} (θ)$
41711	Evaluate	sin(2arccos(1))	$\sin (2 \arccos (1))$
41712	Solve for x	4^(2x)+1<=65	$4^{2 x} + 1 \leq 65$
41713	Solve the Inequality for x	(2x+2)/(x+3)>4	$\frac{2 x + 2}{x + 3} > 4$
41714	Simplify	( square root of 7+ square root of 3)/( square root of 12+ square root of 7)	$\frac{\sqrt{7} + \sqrt{3}}{\sqrt{12} + \sqrt{7}}$
41715	Convert to a Decimal	0rad	$0$ radians
41716	Solve for m	m/3-(2m)/5=1/5	$\frac{m}{3} - \frac{2 m}{5} = \frac{1}{5}$
41717	Evaluate	2sin((3pi)/8)cos((3pi)/8)	$2 \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
41718	Solve for x	2/(x+3)-(2x+4)/(x^2+2x-3)=6/(x-1)	$\frac{2}{x + 3} - \frac{2 x + 4}{x^{2} + 2 x - 3} = \frac{6}{x - 1}$
41719	Solve for x	-(-x-6.9)+9=1.4x	$- (- x - 6.9) + 9 = 1.4 x$
41720	Find the Product	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
41721	Evaluate	square root of 3^2+4^2+5^2	$\sqrt{3^{2} + 4^{2} + 5^{2}}$
41722	Simplify	(x-1)/( square root of x-1)	$\frac{x - 1}{\sqrt{x - 1}}$
41723	Simplify	(x+2)(2x)	$(x + 2) (2 x)$
41724	Simplify the Radical Expression	( cube root of 3)/( cube root of 2x)	$\frac{\sqrt[3]{3}}{\sqrt[3]{2 x}}$
41725	Solve by Factoring	1/2x^2-8=0	$\frac{1}{2} x^{2} - 8 = 0$
41726	Solve the Inequality for d	2/3d>8	$\frac{2}{3} d > 8$
41727	Solve for x	-(2-x)=5	$- (2 - x) = 5$
41728	Simplify the Radical Expression	7 square root of 192m^9n^2	$7 \sqrt{192 m^{9} n^{2}}$
41729	Simplify	1 1/5f+2 3/4f-6f	$1 \frac{1}{5} f + 2 \frac{3}{4} f - 6 f$
41730	Simplify	-4 square root of 11-5 square root of 2+20-2 square root of 11-20	$- 4 \sqrt{11} - 5 \sqrt{2} + 20 - 2 \sqrt{11} - 20$
41731	Find the Antiderivative	f(x)=2sin(6x+3)-4x	$f (x) = 2 \sin (6 x + 3) - 4 x$
41732	Write in Standard Form	2.5+4.9t^3-4t^2+t	$2.5 + 4.9 t^{3} - 4 t^{2} + t$
41733	Evaluate the Function	f(x)=(x+9)/(x+4) , (f(x)-f(1))/(x-1)	$f (x) = \frac{x + 9}{x + 4}$ , $\frac{f (x) - f (1)}{x - 1}$
41734	Graph	x<=3 y>=-2	$x \leq 3$ $y \geq - 2$
41735	Factor by Grouping	x^4-11x^2+28	$x^{4} - 11 x^{2} + 28$
41736	Solve the System of Equations	x^2=2y^2+4 x^2+2y^2=68	$x^{2} = 2 y^{2} + 4$ $x^{2} + 2 y^{2} = 68$
41737	Find the Roots (Zeros)	(x-1)*2(x+5)=0	$(x - 1) \cdot 2 (x + 5) = 0$
41738	Find the Maximum Number of Real Roots	256/2401	$\frac{256}{2401}$
41739	Simplify	((-5)^(2/3))^(3/4)	${({(- 5)}^{\frac{2}{3}})}^{\frac{3}{4}}$
41740	Simplify	square root of -4/3	$\sqrt{- \frac{4}{3}}$
41741	Find the Midpoint	(-5,-6) and (4,2)	$(- 5, - 6)$ and $(4, 2)$
41742	Evaluate the Limit	limit as a approaches 2 of (a^2-4a+4)/(a^2-4)	$lim_{a \to 2} \frac{a^{2} - 4 a + 4}{a^{2} - 4}$
41743	Solve the Function Operation	If Q(x)=6x^2-1 ; find Q(-9)	If $Q (x) = 6 x^{2} - 1$ ; find $Q (- 9)$
41744	Simplify	(2x^2-12x-80)/(-x-2)(4-x^2)/(x^2-4)(-x-2)/(x^2+2x-8)	$\frac{2 x^{2} - 12 x - 80}{- x - 2} \cdot \frac{4 - x^{2}}{x^{2} - 4} \cdot \frac{- x - 2}{x^{2} + 2 x - 8}$
41745	Divide	x/(-x)	$\frac{x}{- x}$
41746	Solve for B	2sin(B)^2-sin(B)-1=0	$2 \sin^{2} (B) - \sin (B) - 1 = 0$
41747	Evaluate the Integral	integral of 1/(theta^2)sin(1/theta)cos(1/theta) with respect to theta	$\int \frac{1}{θ^{2}} \sin (\frac{1}{θ}) \cos (\frac{1}{θ}) d θ$
41748	Evaluate	(cot(x))/(csc(x))	$\frac{\cot (x)}{\csc (x)}$
41749	Find dy/dx	3x^2+24x-y^2+2y=-44	$3 x^{2} + 24 x - y^{2} + 2 y = - 44$
41750	Multiply	((x+2)-(y+1))((x+2)+(y+1))	$((x + 2) - (y + 1)) ((x + 2) + (y + 1))$
41751	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+8x^2+9x+10 is divided by x+2	Use the long division method to find the result when $3 x^{3} + 8 x^{2} + 9 x + 10$ is divided by $x + 2$
41752	Evaluate the Function	f(x) = square root of x+3 at x=6	$f (x) = \sqrt{x + 3}$ at $x = 6$
41753	Graph	x^2-2x-y^2+2y=1	$x^{2} - 2 x - y^{2} + 2 y = 1$
41754	Evaluate the Summation	4 sum from t=0 to 3 of -2t+4t^2	$4 \sum_{t = 0}^{3} - 2 t + 4 t^{2}$
41755	Solve for x	(-3x)/4+(x-4)/3=-5/3	$\frac{- 3 x}{4} + \frac{x - 4}{3} = \frac{- 5}{3}$
41756	Solve for x	natural log of 3x+ natural log of 2x=3	$\ln (3 x) + \ln (2 x) = 3$
41757	Simplify the Radical Expression	10 square root of x^15* square root of x^9	$10 \sqrt{x^{15}} \cdot \sqrt{x^{9}}$
41758	Simplify	(6 square root of 45y^3)/(3 square root of 5x)	$\frac{6 \sqrt{45 y^{3}}}{3 \sqrt{5 x}}$
41759	Solve for x	-4x=2/3x+2-4x	$- 4 x = \frac{2}{3} x + 2 - 4 x$
41760	Simplify the Radical Expression	( square root of x^5y^4)/(y^2 fifth root of z^10)	$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$
41761	Solve the Inequality for y	4y+2(2y-4)<=2(2y+4)	$4 y + 2 (2 y - 4) \leq 2 (2 y + 4)$
41762	Solve for x	9x^4=36x^2	$9 x^{4} = 36 x^{2}$
41763	Solve for x	2/5=1/2x	$\frac{2}{5} = \frac{1}{2} x$
41764	Solve the Inequality for u	u/7-1<=1	$\frac{u}{7} - 1 \leq 1$
41765	Simplify the Radical Expression	square root of (x^6)/(y^2)	$\sqrt{\frac{x^{6}}{y^{2}}}$
41766	Solve for r	9\|r-2\|-10<-73	$9 \| r - 2 \| - 10 < - 73$
41767	Find the Fourth Derivative	256/2401	$\frac{256}{2401}$
41768	Find the x and y Intercepts	f(x)=3x(x+4)^2(x^2-7)(6x+1)(x^2+4)	$f (x) = 3 x {(x + 4)}^{2} (x^{2} - 7) (6 x + 1) (x^{2} + 4)$
41769	Find the Domain and Range	y = log base 2 of 2x+3	$y = \log_{2} (2 x + 3)$
41770	Solve the System of Inequalities	y<x+7 y<-2x-5	$y < x + 7$ $y < - 2 x - 5$
41771	Find the Exact Value	4/3pi*6^3	$\frac{4}{3} π \cdot 6^{3}$
41772	Solve the Inequality for x	0<=2x+3x	$0 \leq 2 x + 3 x$
41773	Find the Exact Value	cos(45 degrees )+cos(135 degrees )-cos(225 degrees )+cos(315 degrees )	$\cos (45 °) + \cos (135 °) - \cos (225 °) + \cos (315 °)$
41774	Solve for k	3/k-1/2=12/k	$\frac{3}{k} - \frac{1}{2} = \frac{12}{k}$
41775	Find the Derivative - d/dx	2/x+1/(4x^2)	$\frac{2}{x} + \frac{1}{4 x^{2}}$
41776	Solve the Inequality for x	-1/2<(2x-13)/12<=2/3	$- \frac{1}{2} < \frac{2 x - 13}{12} \leq \frac{2}{3}$
41777	Solve the Differential Equation	y'=y^2	$y' = y^{2}$
41778	Simplify	((4x^3y^4)/(3m^2n^3))^4((9m^5n)/(2x^2y^5))^2	${(\frac{4 x^{3} y^{4}}{3 m^{2} n^{3}})}^{4} {(\frac{9 m^{5} n}{2 x^{2} y^{5}})}^{2}$
41779	Simplify	(3x+1)+(2x-1)+(x+4)	$(3 x + 1) + (2 x - 1) + (x + 4)$
41780	Convert to Radical Form	(2x)^(1/3)*(2x)^(4/3)	${(2 x)}^{\frac{1}{3}} \cdot {(2 x)}^{\frac{4}{3}}$
41781	Graph	f(x)=1/2tan(x)	$f (x) = \frac{1}{2} \tan (x)$
41782	Write as a Single Logarithm	5 log base b of x+9 log base b of y-3 log base b of z	$5 \log_{b} (x) + 9 \log_{b} (y) - 3 \log_{b} (z)$
41783	Multiply	(-x^2+6)(2x^2+3x-5)	$(- x^{2} + 6) (2 x^{2} + 3 x - 5)$
41784	Solve for n	(3n-2)(4n+1)=0	$(3 n - 2) (4 n + 1) = 0$
41785	Divide	(5x^8y^3)/(15x^3y^3)	$\frac{5 x^{8} y^{3}}{15 x^{3} y^{3}}$
41786	Convert to Interval Notation	-5<=(-3x+1)/4<=9	$- 5 \leq \frac{- 3 x + 1}{4} \leq 9$
41787	Simplify	( cube root of z)( cube root of 9z^4)	$(\sqrt[3]{z}) (\sqrt[3]{9 z^{4}})$
41788	Evaluate	5+215+(124)	$5 + 2 \cdot 15 + (12 \cdot 4)$
41789	Simplify	square root of 5	square root of $5$
41790	Solve the Absolute Value Inequality for b	\|b-7\|<6	$\| b - 7 \| < 6$
41791	Solve for x	log base 3 of 5+2 log base 3 of x = log base 3 of 125	$\log_{3} (5) + 2 \log_{3} (x) = \log_{3} (125)$
41792	Evaluate	-8+5(12+-12)+8	$- 8 + 5 (12 + - 12) + 8$
41793	Simplify	-(-xy^2z^3)^5(x^4yz)^2	$- {(- x y^{2} z^{3})}^{5} {(x^{4} y z)}^{2}$
41794	Graph	-10=x^2-7x	$- 10 = x^{2} - 7 x$
41795	Evaluate	(- square root of 3)/-1	$\frac{- \sqrt{3}}{- 1}$
41796	Solve for x	(2x)+(27)=36	$(2 \cdot x) + (2 \cdot 7) = 36$
41797	Rationalize the Denominator	( square root of 3)/( square root of 3)	$\frac{\sqrt{3}}{\sqrt{3}}$
41798	Graph	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
41799	Simplify	(-12+8b^4+b)-(8b^4-1+9b^3)	$(- 12 + 8 b^{4} + b) - (8 b^{4} - 1 + 9 b^{3})$
41800	Find the Degree	x^4y-x^2+6x	$x^{4} y - x^{2} + 6 x$