Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6501	Graph Using a Table of Values	f(x)=(1/2)^(x+4)-3	$f (x) = {(\frac{1}{2})}^{x + 4} - 3$
6502	Find the Degree, Leading Term, and Leading Coefficient	f(x)=6x+7x^3+4x^2+6-x^4	$f (x) = 6 x + 7 x^{3} + 4 x^{2} + 6 - x^{4}$
6503	Graph	2x-2y=4 -x+y=-2	$2 x - 2 y = 4$ $- x + y = - 2$
6504	Simplify	- square root of 3/7	$- \sqrt{\frac{3}{7}}$
6505	Simplify	4a square root of (16x+16y)/36	$4 a \sqrt{\frac{16 x + 16 y}{36}}$
6506	Simplify	i^20i^25i^23*i^18	$i^{20} \cdot i^{25} \cdot i^{23} \cdot i^{18}$
6507	Find the Antiderivative	f(x)=3/((5-7x)^4)	$f (x) = \frac{3}{{(5 - 7 x)}^{4}}$
6508	Find the Inverse	y=5^(x/2)	$y = 5^{\frac{x}{2}}$
6509	Solve for b	3b=2/3	$3 b = \frac{2}{3}$
6510	Simplify	(-6a^2b)*(1/2ab)	$(- 6 a^{2} b) \cdot (\frac{1}{2} a b)$
6511	Write the Fraction in Simplest Form	(6w^8)/(2(w^4)^4)	$\frac{6 w^{8}}{2 {(w^{4})}^{4}}$
6512	Solve the Inequality for c	\|-2c-3\|>-4	$\| - 2 c - 3 \| > - 4$
6513	Write in Exponential Form	n root of x^n	$\sqrt[n]{x^{n}}$
6514	Find the Antiderivative	tan(x)^4	$\tan^{4} (x)$
6515	Evaluate	3+2+8÷4(4-2)	$3 + 2 + 8 \div 4 (4 - 2)$
6516	Find the Exact Value	cot(-(13pi)/6)	$\cot (- \frac{13 π}{6})$
6517	Simplify	xy cube root of 54x^7y^10	$x y \sqrt[3]{54 x^{7} y^{10}}$
6518	Solve for x	(1/9)^(-2x+46)=3^(-2x^2+4)	${(\frac{1}{9})}^{- 2 x + 46} = 3^{- 2 x^{2} + 4}$
6519	Find the Antiderivative	9xcos(3x)	$9 x \cos (3 x)$
6520	Find the Derivative - d/dx	(1/x)^x	${(\frac{1}{x})}^{x}$
6521	Graph	-8x>-24 and -10<=2x-6	$- 8 x > - 24$ and $- 10 \leq 2 x - 6$
6522	Solve for x	(1/125)^(-4x-10)=(1/5)^(-2x^2-16)	${(\frac{1}{125})}^{- 4 x - 10} = {(\frac{1}{5})}^{- 2 x^{2} - 16}$
6523	Simplify	cube root of (x^15)/(y^6)	$\sqrt[3]{\frac{x^{15}}{y^{6}}}$
6524	Solve for x	81^(-3x-84)=(1/9)^(3x^2+9x)	$81^{- 3 x - 84} = {(\frac{1}{9})}^{3 x^{2} + 9 x}$
6525	Simplify the Radical Expression	square root of 5^9	$\sqrt{5^{9}}$
6526	Find the End Behavior	f(x)=-960x^2+60x^4+6x^6+42x^5-1248x-240x^3-576	$f (x) = - 960 x^{2} + 60 x^{4} + 6 x^{6} + 42 x^{5} - 1248 x - 240 x^{3} - 576$
6527	Solve for x	2^(4(x-3))=16^(x+1)	$2^{4 (x - 3)} = 16^{x + 1}$
6528	Evaluate the Limit	limit as x approaches 0 of (5x-3sin(x))/(7x+tan(x))	$lim_{x \to 0} \frac{5 x - 3 \sin (x)}{7 x + \tan (x)}$
6529	Solve for x	3+(1/x-2)=27	$3 + (\frac{1}{x} - 2) = 27$
6530	Solve for m	cube root of m=3	$\sqrt[3]{m} = 3$
6531	Evaluate	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
6532	Solve for x	5(2x+4)-3(4x-6)=2(20-x)	$5 (2 x + 4) - 3 (4 x - 6) = 2 (20 - x)$
6533	Factor	(m-n)+s*(n-m)	$(m - n) + s \cdot (n - m)$
6534	Solve for x	(x-2)/5+3=12	$\frac{x - 2}{5} + 3 = 12$
6535	Determine if Dependent, Independent, or Inconsistent	3x+y=-5 3y+15=-9x	$3 x + y = - 5$ $3 y + 15 = - 9 x$
6536	Factor by Grouping	x^4+a^2x^2+b^2x^2+a^2b^2	$x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}$
6537	Determine if a Polynomial	(x^4)/8-4x^2 square root of 2	$\frac{x^{4}}{8} - 4 x^{2} \sqrt{2}$
6538	Expand the Logarithmic Expression	log base 3 of fourth root of m^5n^2	$\log_{3} (\sqrt[4]{m^{5} n^{2}})$
6539	Find the Exact Value	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
6540	Simplify	7 cube root of 16* cube root of 8	$7 \sqrt[3]{16} \cdot \sqrt[3]{8}$
6541	Subtract	(4x^5-7x^3-9x^2+18)-(14x^5-8x^4+x^2+x)	$(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + x^{2} + x)$
6542	Evaluate	9^(8-x)=27^(x-3)	$9^{8 - x} = 27^{x - 3}$
6543	Simplify	((5^-2)/5)^4	${(\frac{5^{- 2}}{5})}^{4}$
6544	Simplify	2x^4yx*6xy^2z^3	$2 x^{4} y x \cdot 6 x y^{2} z^{3}$
6545	Simplify	4x(2(x-3)+5)	$4 x (2 (x - 3) + 5)$
6546	Evaluate	log base 2 of 3/25+5 log base 2 of 5+ log base 2 of 27- log base 2 of 125/12- log base 2 of 243	$\log_{2} (\frac{3}{25}) + 5 \log_{2} (5) + \log_{2} (27) - \log_{2} (\frac{125}{12}) - \log_{2} (243)$
6547	Multiply	4 square root of 6* square root of 3	$4 \sqrt{6} \cdot \sqrt{3}$
6548	Solve the System of Equations	y=x^2+6x+10 y=-2x-6	$y = x^{2} + 6 x + 10$ $y = - 2 x - 6$
6549	Simplify	((4y-18)/3)(6/(6y-27))	$(\frac{4 y - 18}{3}) (\frac{6}{6 y - 27})$
6550	Simplify	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
6551	Graph	3x+y>-3 x+2y<4	$3 x + y > - 3$ $x + 2 y < 4$
6552	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^6-9x^2+4-8x^3+6x^5	$f (x) = - 2 x^{6} - 9 x^{2} + 4 - 8 x^{3} + 6 x^{5}$
6553	Find the Domain and Range	y=cos(x/4)	$y = \cos (\frac{x}{4})$
6554	Graph	f(x)> = square root of 2x+1	$f (x) \geq \sqrt{2 x + 1}$
6555	Solve for x	log base 5 of 3x^2-3- log base 5 of x+5=1	$\log_{5} (3 x^{2} - 3) - \log_{5} (x + 5) = 1$
6556	Rationalize the Denominator	3/( square root of x+ square root of 5)	$\frac{3}{\sqrt{x} + \sqrt{5}}$
6557	Simplify the Radical Expression	square root of 2+ square root of 2	$\sqrt{2} + \sqrt{2}$
6558	Simplify	(x+5)^2-(2x-3)	${(x + 5)}^{2} - (2 x - 3)$
6559	Simplify	(120a^5b^6c^-5)/(12a^-2b^0c^2)	$\frac{120 a^{5} b^{6} c^{- 5}}{12 a^{- 2} b^{0} c^{2}}$
6560	Solve the Function Operation	x=5 , 6 , 7	$x = 5$ , $6$ , $7$
6561	Find the Degree, Leading Term, and Leading Coefficient	5x^5+3-x^2-1/5x^3	$5 x^{5} + 3 - x^{2} - \frac{1}{5} x^{3}$
6562	Divide Using Long Polynomial Division	2x^4-3x^3-20x^2+72x-63 by 2x-3	$2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63$ by $2 x - 3$
6563	Solve for x	square root of 2x+3+2 = square root of 6x+7	$\sqrt{2 x + 3} + 2 = \sqrt{6 x + 7}$
6564	Simplify	( square root of 24x^5)/( square root of 8x^4)	$\frac{\sqrt{24 x^{5}}}{\sqrt{8 x^{4}}}$
6565	Simplify	3+2x-9-4x+11+5x-x	$3 + 2 x - 9 - 4 x + 11 + 5 x - x$
6566	Simplify	(8-p^2+5p)+(p^2-15-4p)	$(8 - p^{2} + 5 p) + (p^{2} - 15 - 4 p)$
6567	Solve for θ	cot(theta)=-( square root of 3)/3	$\cot (θ) = - \frac{\sqrt{3}}{3}$
6568	Simplify	((x^2+3x)/(x+1))÷((3x)/(3x+3))	$\frac{x^{2} + 3 x}{x + 1} \div \frac{3 x}{3 x + 3}$
6569	Solve the Rational Equation for x	56/(x^2-2x-15)-6/(x+3)=7/(x-5)	$\frac{56}{x^{2} - 2 x - 15} - \frac{6}{x + 3} = \frac{7}{x - 5}$
6570	Simplify	(-6/7)^-1	${(\frac{- 6}{7})}^{- 1}$
6571	Solve the Inequality for b	26+6b>=2(3b+4)	$26 + 6 b \geq 2 (3 b + 4)$
6572	Simplify	(9^2)^3(9)^5	${(9^{2})}^{3} {(9)}^{5}$
6573	Solve for x	7/9=x/(x-10)	$\frac{7}{9} = \frac{x}{x - 10}$
6574	Convert from Degrees to Radians	345deg	$345$ degrees
6575	Evaluate	(2^4-1)/(3^2-2^2)	$\frac{2^{4} - 1}{3^{2} - 2^{2}}$
6576	Graph	12x+4>=16 or 3x-5<=-14	$12 x + 4 \geq 16$ or $3 x - 5 \leq - 14$
6577	Multiply	cube root of 4* square root of 8	$\sqrt[3]{4} \cdot \sqrt{8}$
6578	Solve for x	square root of x+10-7=-5	$\sqrt{x + 10 - 7} = - 5$
6579	Evaluate the Limit	limit as x approaches 1 from the right of square root of 4x-4	$lim_{x \to 1^{+}} \sqrt{4 x - 4}$
6580	Evaluate	-4*(-4)^-2	$- 4 \cdot {(- 4)}^{- 2}$
6581	Simplify	(a^3b^4c^5)(ab^3c)	$(a^{3} b^{4} c^{5}) (a b^{3} c)$
6582	Solve by Factoring	x^(4/3)-10x^(2/3)+9=0	$x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 9 = 0$
6583	Simplify	4x1/(x^-5)x^-3	$4 x \cdot \frac{1}{x^{- 5}} \cdot x^{- 3}$
6584	Graph	y=7/2 square root of x-2	$y = \frac{7}{2} \sqrt{x} - 2$
6585	Solve the System of Equations	y=x^2+3x-7 3x-y=-2	$y = x^{2} + 3 x - 7$ $3 x - y = - 2$
6586	Find Where Increasing/Decreasing	f(x)=1/2*e^(-x)-1	$f (x) = \frac{1}{2} \cdot e^{- x} - 1$
6587	Find the Asymptotes	f(x)=1/2*e^(-x)-1	$f (x) = \frac{1}{2} \cdot e^{- x} - 1$
6588	Find the Antiderivative	(e^x)/(1+e^x)	$\frac{e^{x}}{1 + e^{x}}$
6589	Graph	y=-x+1 x=3	$y = - x + 1$ $x = 3$
6590	Find the Holes in the Graph	(x^2-25)/(4x+20)	$\frac{x^{2} - 25}{4 x + 20}$
6591	Find the Derivative - d/dx	y = square root of 2^x+2e^x	$y = \sqrt{2^{x} + 2 e^{x}}$
6592	Find the Roots (Zeros)	-4x^4+8x^3+60x^2	$- 4 x^{4} + 8 x^{3} + 60 x^{2}$
6593	Simplify	((-16)^3)÷((4^-2)^-3)	${(- 16)}^{3} \div {(4^{- 2})}^{- 3}$
6594	Write in Slope-Intercept Form	(6,-2) and (12,1)	$(6, - 2)$ and $(12, 1)$
6595	Simplify	(5/(uy^2))(-5u^3y)	$(\frac{5}{u y^{2}}) (- 5 u^{3} y)$
6596	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^5+6x^7-7x^3-2-6x^2	$f (x) = - x^{5} + 6 x^{7} - 7 x^{3} - 2 - 6 x^{2}$
6597	Multiply	(x- square root of 5)(x+ square root of 7)	$(x - \sqrt{5}) (x + \sqrt{7})$
6598	Evaluate the Limit	limit as x approaches 2 of \|f(x)\|	$lim_{x \to 2} \| f (x) \|$
6599	Solve for q	2(-2-5q)=-3(-4-2q)	$2 (- 2 - 5 q) = - 3 (- 4 - 2 q)$
6600	Simplify	i^7+i^8+i^9+i^10	$i^{7} + i^{8} + i^{9} + i^{10}$