Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117401	Convert to an Improper Fraction	1 2/7	$1 \frac{2}{7}$
117402	Find the Inverse	y=e^(3x+1)	$y = e^{3 x + 1}$
117403	Find the Symmetry	f(x)=x^5-3x	$f (x) = x^{5} - 3 x$
117404	Simplify/Condense	log of 2-3 log of 1	$\log (2) - 3 \log (1)$
117405	Simplify/Condense	6 natural log of x-2 natural log of y	$6 \ln (x) - 2 \ln (y)$
117406	Write in y=mx+b Form	8x-4y-16=0	$8 x - 4 y - 16 = 0$
117407	Write in y=mx+b Form	2y-4x=5	$2 y - 4 x = 5$
117408	Write in y=mx+b Form	12x-4y-8=0	$12 x - 4 y - 8 = 0$
117409	Write in y=mx+b Form	12x-3y-9=0	$12 x - 3 y - 9 = 0$
117410	Find the Vertex	f(x)=2(x-3)^2-3	$f (x) = 2 {(x - 3)}^{2} - 3$
117411	Find the Vertex	f(x)=-2(x-1)^2+8	$f (x) = - 2 {(x - 1)}^{2} + 8$
117412	Find the Vertex	h(x)=-3(x-3)^2+108	$h (x) = - 3 {(x - 3)}^{2} + 108$
117413	Find the Vertex	f(x)=(x^2)/2+2x+5	$f (x) = \frac{x^{2}}{2} + 2 x + 5$
117414	Find the Vertex	g(x)=(x-12)^2-30.25	$g (x) = {(x - 12)}^{2} - 30.25$
117415	Find the Vertex	k(x)=x^2+5x+6	$k (x) = x^{2} + 5 x + 6$
117416	Find the Maximum/Minimum Value	f(x)=-(x^2)/3+2x+7	$f (x) = - \frac{x^{2}}{3} + 2 x + 7$
117417	Find the Maximum/Minimum Value	f(x)=2x^2+14x+22	$f (x) = 2 x^{2} + 14 x + 22$
117418	Find the Maximum/Minimum Value	f(x)=-2x^2+12x-22	$f (x) = - 2 x^{2} + 12 x - 22$
117419	Find the Maximum/Minimum Value	h(t)=-4.9t^2+29.4t+1	$h (t) = - 4.9 t^{2} + 29.4 t + 1$
117420	Find the Maximum/Minimum Value	f(x)=3x^2-24x-8	$f (x) = 3 x^{2} - 24 x - 8$
117421	Find the Maximum/Minimum Value	f(x)=-0.1x^2+0.8x+7	$f (x) = - 0.1 x^{2} + 0.8 x + 7$
117422	Divide Using Synthetic Division	(x^2-74)÷(x-8)	$(x^{2} - 74) \div (x - 8)$
117423	Divide Using Synthetic Division	(2x^3+7x^2-5)/(x+3)	$\frac{2 x^{3} + 7 x^{2} - 5}{x + 3}$
117424	Complete the Square	x^2-x+	$x^{2} - x +$
117425	Find the Discriminant	2x^2=8x+5	$2 x^{2} = 8 x + 5$
117426	Find the Roots (Zeros)	x^4-5x^3+11x^2-25x+30=0	$x^{4} - 5 x^{3} + 11 x^{2} - 25 x + 30 = 0$
117427	Find the Roots (Zeros)	x^4-4x^3-2x^2+12x+9=0	$x^{4} - 4 x^{3} - 2 x^{2} + 12 x + 9 = 0$
117428	Find All Complex Solutions	6x^2-6x-2=0	$6 x^{2} - 6 x - 2 = 0$
117429	Factor by Grouping	7x^2-7x+2xy-2y	$7 x^{2} - 7 x + 2 x y - 2 y$
117430	Factor by Grouping	12x^5+6x^2-18	$12 x^{5} + 6 x^{2} - 18$
117431	Find the Behavior (Leading Coefficient Test)	f(x)=x^2(x-4)^3(x+5)	$f (x) = x^{2} {(x - 4)}^{3} (x + 5)$
117432	Rationalize the Denominator	( square root of 27- square root of 7)/( square root of 21-3)	$\frac{\sqrt{27} - \sqrt{7}}{\sqrt{21} - 3}$
117433	Rationalize the Denominator	3/(7+3 square root of 2)	$\frac{3}{7 + 3 \sqrt{2}}$
117434	Rationalize the Denominator	(4 square root of 5+ square root of 10)/(8 square root of 5- square root of 10)	$\frac{4 \sqrt{5} + \sqrt{10}}{8 \sqrt{5} - \sqrt{10}}$
117435	Find the Symmetry	x^2y^2+xy=1	$x^{2} y^{2} + x y = 1$
117436	Convert to Scientific Notation	91 , 910 , 0	$91$ , $910$ , $0$
117437	Convert to Scientific Notation	0.0018	$0.0018$
117438	Convert to Scientific Notation	26 , 0 , 0	$26$ , $0$ , $0$
117439	Find the x and y Intercepts	4x^2-24x+31	$4 x^{2} - 24 x + 31$
117440	Find the Perfect Square Trinomial	k^2-5k+c	$k^{2} - 5 k + c$
117441	Solve Using the Square Root Property	2(x+6)^2=24	$2 {(x + 6)}^{2} = 24$
117442	Solve Using the Square Root Property	5(x+1)^2=90	$5 {(x + 1)}^{2} = 90$
117443	Solve Using the Square Root Property	2(x+6)^2=40	$2 {(x + 6)}^{2} = 40$
117444	Solve Using the Square Root Property	2(x+8)^2=36	$2 {(x + 8)}^{2} = 36$
117445	Find the Slope	9x-3y=18	$9 x - 3 y = 18$
117446	Find the Slope	4y=14	$4 y = 14$
117447	Find the Slope	7y=12	$7 y = 12$
117448	Find the Slope	8y=8	$8 y = 8$
117449	Find the Slope	4x-8y=5	$4 x - 8 y = 5$
117450	Find the Slope	7x-8y=-5	$7 x - 8 y = - 5$
117451	Identify the Sequence	3 , 8 , 13 , 18 , 23	$3$ , $8$ , $13$ , $18$ , $23$
117452	Find the Slope	3x-5y=1	$3 x - 5 y = 1$
117453	Convert from Radians to Degrees	arccos(4/5)	$\arccos (\frac{4}{5})$
117454	Convert from Radians to Degrees	arctan(2)	$\tan^{-1} (2)$
117455	Determine if Odd, Even, or Neither	f(x)=\|x\|x	$f (x) = \| x \| x$
117456	Find the Domain and Range	natural log of x+7	$\ln (x + 7)$
117457	Find the Domain and Range	log base 4 of x-3	$\log_{4} (x - 3)$
117458	Find the Domain and Range	- square root of x+3	$- \sqrt{x + 3}$
117459	Convert to Regular Notation	4.1*10^5	$4.1 \cdot 10^{5}$
117460	Write in Standard Form	(7g+2)(5g+4)	$(7 g + 2) (5 g + 4)$
117461	Write in Standard Form	(10-15i)/(1-2i)	$\frac{10 - 15 i}{1 - 2 i}$
117462	Write in Standard Form	(1-4i)/(5+2i)	$\frac{1 - 4 i}{5 + 2 i}$
117463	Write in Standard Form	(-f+10)(3f-1)	$(- f + 10) (3 f - 1)$
117464	Write in Standard Form	(5h^3-8h)+(-2h^3-h^2-2h)	$(5 h^{3} - 8 h) + (- 2 h^{3} - h^{2} - 2 h)$
117465	Convert to a Simplified Fraction	72.5%	$72.5 %$
117466	Convert to a Simplified Fraction	0.919191	$0.919191$
117467	Convert to a Simplified Fraction	0.562	$0.562$
117468	Solve by Factoring	x^2+61=1-17x	$x^{2} + 61 = 1 - 17 x$
117469	Solve by Factoring	80x^4=10x	$80 x^{4} = 10 x$
117470	Solve by Factoring	x^3-9x^2-81x+729=0	$x^{3} - 9 x^{2} - 81 x + 729 = 0$
117471	Write in Standard Form	5y-2y^2	$5 y - 2 y^{2}$
117472	Write in Standard Form	6(-3m)^4	$6 {(- 3 m)}^{4}$
117473	Convert to a Simplified Fraction	0.975	$0.975$
117474	Convert from Degrees to Radians	arcsin(0.2)	$\arcsin (0.2)$
117475	Find the Distance Between Two Points	(0,-3) , (5,2)	$(0, - 3) (5, 2)$
117476	Find the Distance Between Two Points	(0,-2) , (4,2)	$(0, - 2) (4, 2)$
117477	Determine if Rational	-16pi	$- 16 π$
117478	Reduce the Fraction	48/50	$\frac{48}{50}$
117479	Reduce the Fraction	210/360	$\frac{210}{360}$
117480	Divide Using Long Polynomial Division	(2p^2+7p-39)÷(2p-7)	$(2 p^{2} + 7 p - 39) \div (2 p - 7)$
117481	Find the LCD	3/(x^2-4x-32) , -2/(x^2-81)	$\frac{3}{x^{2} - 4 x - 32}$ , $\frac{- 2}{x^{2} - 81}$
117482	Solve by Completing the Square	5n^2-4n-10=15	$5 n^{2} - 4 n - 10 = 15$
117483	Find Three Ordered Pair Solutions	a(x)=x^2+7x+12	$a (x) = x^{2} + 7 x + 12$
117484	Find the Difference Quotient	F(x)=9x^3	$F (x) = 9 x^{3}$
117485	Find the Difference Quotient	f(x)=x^2-9x+9	$f (x) = x^{2} - 9 x + 9$
117486	Convert to Logarithmic Form	4*2^(-t/5)=288	$4 \cdot 2^{- \frac{t}{5}} = 288$
117487	Find the Difference Quotient	f(x)=9x^3	$f (x) = 9 x^{3}$
117488	Find the Domain and Range	y = square root of x-12	$y = \sqrt{x - 12}$
117489	Find the Domain and Range	x=y^9	$x = y^{9}$
117490	Find the Domain and Range	y=-3sec(x)	$y = - 3 \sec (x)$
117491	Find the Vertex	y=-(x-1)^2-1	$y = - {(x - 1)}^{2} - 1$
117492	Find the Vertex	y=5x^2+20x+6	$y = 5 x^{2} + 20 x + 6$
117493	Find the Vertex	y=x^2+10x-3	$y = x^{2} + 10 x - 3$
117494	Identify the Zeros and Their Multiplicities	y=(2x+5)(x-3)^2	$y = (2 x + 5) {(x - 3)}^{2}$
117495	Calculate the Square Root	4096	$4096$
117496	Find the End Behavior	g(x)=-3x^4+2x^3-x^2+4	$g (x) = - 3 x^{4} + 2 x^{3} - x^{2} + 4$
117497	Find the LCM	9x^2-16 , 3x^2+x-4	$9 x^{2} - 16$ , $3 x^{2} + x - 4$
117498	Expand Using Sum/Difference Formulas	tan((17pi)/12)	$\tan (\frac{17 π}{12})$
117499	Graph the Interval	[1,infinity)	$[1, \infty)$
117500	Find the Vertex	4x^2-24x+31	$4 x^{2} - 24 x + 31$