Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42601	Solve Using the Quadratic Formula	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
42602	Simplify	(3 square root of 32y)(4 square root of 25y)	$(3 \sqrt{32 y}) (4 \sqrt{25 y})$
42603	Simplify	cube root of (8m^3n^6)/27	$\sqrt[3]{\frac{8 m^{3} n^{6}}{27}}$
42604	Simplify	2a^2(5a-6)-5a(a^2-3a+4)-7(a-5)	$2 a^{2} (5 a - 6) - 5 a (a^{2} - 3 a + 4) - 7 (a - 5)$
42605	Factor	2x^4+8x^3+4x^2-8x-6	$2 x^{4} + 8 x^{3} + 4 x^{2} - 8 x - 6$
42606	Simplify the Radical Expression	( cube root of 25)^3	${(\sqrt[3]{25})}^{3}$
42607	Graph	-3(1/2)^x-5	$- 3 {(\frac{1}{2})}^{x} - 5$
42608	Multiply	cos(2x)*cos(2x)	$\cos (2 x) \cdot \cos (2 x)$
42609	Solve the System of Equations	(x-5)^2+(y-3)^2=29 -x+y=-9	${(x - 5)}^{2} + {(y - 3)}^{2} = 29$ $- x + y = - 9$
42610	Simplify	square root of 2*( square root of 2)/2	$\sqrt{2} \cdot \frac{\sqrt{2}}{2}$
42611	Solve the Rational Equation for x	square root of x+19- square root of x+28=-1	$\sqrt{x + 19} - \sqrt{x + 28} = - 1$
42612	Find the Antiderivative	(x^2+x+1)/(x+2)	$\frac{x^{2} + x + 1}{x + 2}$
42613	Simplify	(4c^2-3c)/(c^(-2/3))	$\frac{4 c^{2} - 3 c}{c^{- \frac{2}{3}}}$
42614	Find the Exact Value	cot(-870 degrees )	$\cot (- 870 °)$
42615	Find the Antiderivative	x^2+3/x-2 square root of x	$x^{2} + \frac{3}{x} - 2 \sqrt{x}$
42616	Evaluate	(3+i)-(3-i)	$(3 + i) - (3 - i)$
42617	Solve for x	6+2/(x-4)=8/(x-4)	$6 + \frac{2}{x - 4} = \frac{8}{x - 4}$
42618	Find the Derivative - d/dx	-tan(10x^2)	$- \tan (10 x^{2})$
42619	Find the x and y Intercepts	f(x)=(x+5)(4x+1)(x+5)(x^2+9)	$f (x) = (x + 5) (4 x + 1) (x + 5) (x^{2} + 9)$
42620	Identify the Sequence	5 , 10 , 20 ; dots	$5$ , $10$ , $20$ ; dots
42621	Solve for t	5^3*t^3=50^3	$5^{3} \cdot t^{3} = 50^{3}$
42622	Simplify	5g^0*(5g)^0	$5 g^{0} \cdot {(5 g)}^{0}$
42623	Rewrite the Cartesian Equation as a Polar Equation	x^2-y^2=1	$x^{2} - y^{2} = 1$
42624	Solve for s	-4\|s+10\|<-16	$- 4 \| s + 10 \| < - 16$
42625	Solve for x	4\|x\|-20=0	$4 \| x \| - 20 = 0$
42626	Solve using Gaussian Elimination	x-2y-z=2 2x+y-3z=4 -2x+4y+2z=6	$x - 2 y - z = 2$ $2 x + y - 3 z = 4$ $- 2 x + 4 y + 2 z = 6$
42627	Find the Degree	x^2=5	$x^{2} = 5$
42628	Solve the System of Inequalities	1<=x<=5	$1 \leq x \leq 5$
42629	Solve for x	cos(x)^2-cos(x)=2	$\cos^{2} (x) - \cos (x) = 2$
42630	Evaluate	x(y+z-3^2)	$x (y + z - 3^{2})$
42631	Simplify	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{(a^{2} - 4)}{x^{2} - 9} \div \frac{(a^{2} - 2 a)}{x y + 3 y} + \frac{(2 - y)}{x - 3}$
42632	Solve for u	u/9=4/12	$\frac{u}{9} = \frac{4}{12}$
42633	Graph	y-5=f(x/-1)	$y - 5 = f (\frac{x}{- 1})$
42634	Find the Derivative - d/dx	y=e^(x^3+8x^2)	$y = e^{x^{3} + 8 x^{2}}$
42635	Simplify	limit as x approaches 2 of 2x+1	$lim_{x \to 2} 2 x + 1$
42636	Find the Exact Value	(8(15-4))/(4^2-5)	$\frac{8 (15 - 4)}{4^{2} - 5}$
42637	Convert to Polar	(x-3)^2+(y+4)^2=25	${(x - 3)}^{2} + {(y + 4)}^{2} = 25$
42638	Convert to Radical Form	(2+y)^(-2/3)	${(2 + y)}^{- \frac{2}{3}}$
42639	Solve for x	log base 9 of 81 square root of 3=x	$\log_{9} (81 \sqrt{3}) = x$
42640	Evaluate	5^0*5	$5^{0} \cdot 5$
42641	Simplify	(x^3-4x^2+3)+(-3x^3+8x-2)	$(x^{3} - 4 x^{2} + 3) + (- 3 x^{3} + 8 x - 2)$
42642	Find the Derivative - d/dx	arctan( square root of x-6)	$\arctan (\sqrt{x - 6})$
42643	Solve the System of Equations	y=2x^2 y=-2x+4	$y = 2 x^{2}$ $y = - 2 x + 4$
42644	Graph	ur gay	$u r$ gay
42645	Evaluate	24/4(8/4)	$\frac{24}{4} (\frac{8}{4})$
42646	Evaluate the Function	A(2)=2x^3+5	$A (2) = 2 x^{3} + 5$
42647	Multiply	(x+4)/(x^2+5x+6)*(x+3)/(x^2-16)	$\frac{x + 4}{x^{2} + 5 x + 6} \cdot \frac{x + 3}{x^{2} - 16}$
42648	Solve the Absolute Value Inequality for x	7-2\|x-6\|=-13	$7 - 2 \| x - 6 \| = - 13$
42649	Solve for y	y=-(2^-4)	$y = - (2^{- 4})$
42650	Find the Cotangent Given the Point	(-3/7,(2 square root of 10)/7)	$(- \frac{3}{7}, \frac{2 \sqrt{10}}{7})$
42651	Factor	x^3-8x^2+7x^2+16x-56x+112	$x^{3} - 8 x^{2} + 7 x^{2} + 16 x - 56 x + 112$
42652	Solve for x in Degrees	3tan(x)sin(x)=sin(x)	$3 \tan (x) \sin (x) = \sin (x)$
42653	Simplify	((y^2z)^(1/4))/(y^(-1/2)z^(1/2))	$\frac{{(y^{2} z)}^{\frac{1}{4}}}{y^{- \frac{1}{2}} z^{\frac{1}{2}}}$
42654	Solve the Inequality for f	-11f<-55	$- 11 f < - 55$
42655	Add	(6x^3+4x+x^2-7)+(2x^3-8x^2+3)	$(6 x^{3} + 4 x + x^{2} - 7) + (2 x^{3} - 8 x^{2} + 3)$
42656	Solve for m	(m+1)/4=2n	$\frac{(m + 1)}{4} = 2 n$
42657	Find the Exact Value	(2tan(pi/6))/(1-tan(pi/6)^2)	$\frac{2 \tan (\frac{π}{6})}{1 - \tan^{2} (\frac{π}{6})}$
42658	Solve for x in Radians	square root of 3cot(x)=-1	$\sqrt{3} \cot (x) = - 1$
42659	Simplify	22-3\|-3(2+1)+4\|	$22 - 3 \| - 3 (2 + 1) + 4 \|$
42660	Solve for x	2^(x-1)<3	$2^{x - 1} < 3$
42661	Add	2 square root of 5+ square root of 5	$2 \sqrt{5} + \sqrt{5}$
42662	Simplify the Radical Expression	(16x^12y^6)^(-5/2)	${(16 x^{12} y^{6})}^{- \frac{5}{2}}$
42663	Solve for x	2(x-3)-7(5-x)=9x-45	$2 (x - 3) - 7 (5 - x) = 9 x - 45$
42664	Evaluate the Limit	limit as x approaches pi from the right of ( square root of x)/(csc(x))	$lim_{x \to π^{+}} \frac{\sqrt{x}}{\csc (x)}$
42665	Simplify	((6x^4)^-2)/(((x^-2 square root of 2)/(x^3 square root of 16))^2)	$\frac{{(6 x^{4})}^{- 2}}{{(\frac{x^{- 2} \sqrt{2}}{x^{3} \sqrt{16}})}^{2}}$
42666	Evaluate	5.5/(2pi)	$\frac{5.5}{2 π}$
42667	Convert to Interval Notation	{x\|x<3orx>=2}	${x \| x < 3 o r x \geq 2}$
42668	Evaluate	7^(x-1)=e	$7^{x - 1} = e$
42669	Solve the Inequality for x	8+8+10+10+x<=51	$8 + 8 + 10 + 10 + x \leq 51$
42670	Evaluate	(-(-4))/(2(-1))	$\frac{- (- 4)}{2 (- 1)}$
42671	Simplify	((3m^2n^3)/(xy^2))((x^3yz^2)/(2mn^2))	$(\frac{3 m^{2} n^{3}}{x y^{2}}) (\frac{x^{3} y z^{2}}{2 m n^{2}})$
42672	Write in Standard Form	19x=y	$19 x = y$
42673	Convert to a Decimal	sin(14)deg	$\sin (14)$ degrees
42674	Simplify	-3+3x+12-6y	$- 3 + 3 x + 12 - 6 y$
42675	Find the Antiderivative	(5x+1)e^x	$(5 x + 1) e^{x}$
42676	Find the Domain	f(x) = square root of (x-2)/(x-1)+ square root of x^2-x-2	$f (x) = \sqrt{\frac{x - 2}{x - 1}} + \sqrt{x^{2} - x - 2}$
42677	Simplify	(-4x^3)^2*3x^-2	${(- 4 x^{3})}^{2} \cdot 3 x^{- 2}$
42678	Graph	y>=(x+2)^2+1	$y \geq {(x + 2)}^{2} + 1$
42679	Simplify	(2+3)^2-16/2	${(2 + 3)}^{2} - \frac{16}{2}$
42680	Find Where Increasing/Decreasing	f(x)=x^(5/3)	$f (x) = x^{\frac{5}{3}}$
42681	Simplify	(6x-18)/(4x)*x/(2x-6)	$\frac{6 x - 18}{4 x} \cdot \frac{x}{2 x - 6}$
42682	Solve for x	(x^(3/2))^2 = fourth root of x^3	${(x^{\frac{3}{2}})}^{2} = \sqrt[4]{x^{3}}$
42683	Add	(-2x^2+10x^4+x^3)+(4x^3+3x^4+8x^2)	$(- 2 x^{2} + 10 x^{4} + x^{3}) + (4 x^{3} + 3 x^{4} + 8 x^{2})$
42684	Simplify	(2x^2-11x-21)/(5x^2+16x+3)*(5x+1)/(5x-35)	$\frac{2 x^{2} - 11 x - 21}{5 x^{2} + 16 x + 3} \cdot \frac{5 x + 1}{5 x - 35}$
42685	Solve for x in Degrees	7sin(x)tan(x)-6tan(x)=0	$7 \sin (x) \tan (x) - 6 \tan (x) = 0$
42686	Graph	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
42687	Find the Roots (Zeros)	2x^2+2=-3x	$2 x^{2} + 2 = - 3 x$
42688	Simplify	Simplify (-5p^3)^3	Simplify ${(- 5 p^{3})}^{3}$
42689	Find the Sum and Product of the Roots of the Quadratic Equation	5-2m-3m^2=0	$5 - 2 m - 3 m^{2} = 0$
42690	Graph	-4(x-3)(x-1)	$- 4 (x - 3) (x - 1)$
42691	Solve for v	8/(v-5)-v/(v+3)=54/(v^2-2v-15)	$\frac{8}{v - 5} - \frac{v}{v + 3} = \frac{54}{v^{2} - 2 v - 15}$
42692	Find the x and y Intercepts	y=4^(2x)-3	$y = 4^{2 x} - 3$
42693	Simplify	((2f^3t^5)/(5(ft^5)))^0*(3f^4t^6)	${(\frac{2 f^{3} t^{5}}{5 f t^{5}})}^{0} \cdot (3 f^{4} t^{6})$
42694	Solve the System of Equations	y=-4x y=x-5	$y = - 4 x$ $y = x - 5$
42695	Simplify the Radical Expression	square root of 144+ square root of -98- square root of 121+ square root of -2	$\sqrt{144} + \sqrt{- 98} - \sqrt{121} + \sqrt{- 2}$
42696	Simplify	12-1/a-1/b	$12 - \frac{1}{a} - \frac{1}{b}$
42697	Solve for θ in Radians	2sin(theta) = square root of 3	$2 \sin (θ) = \sqrt{3}$
42698	Subtract	1/10-11/9	$\frac{1}{10} - \frac{11}{9}$
42699	Solve by Substitution	x=-3y-17 and 2x+3y=-7	$x = - 3 y - 17$ and $2 x + 3 y = - 7$
42700	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-9x^2+10x-2 is divided by x-1	Use the long division method to find the result when $x^{3} - 9 x^{2} + 10 x - 2$ is divided by $x - 1$