Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117501	Find the Asymptotes	y=tan(x+pi/6)	$y = \tan (x + \frac{π}{6})$
117502	Describe the Transformation	h(x)=\|x-7\|	$h (x) = \| x - 7 \|$
117503	Find the Discriminant	6x^2+11x+5=0	$6 x^{2} + 11 x + 5 = 0$
117504	Find the Discriminant	4a^2=8a-4	$4 a^{2} = 8 a - 4$
117505	Simplify/Condense	1- log of 4	$1 - \log (4)$
117506	Simplify/Condense	1/2( log base 5 of x+ log base 5 of y)-2 log base 5 of x+1	$\frac{1}{2} (\log_{5} (x) + \log_{5} (y)) - 2 \log_{5} (x + 1)$
117507	Simplify/Condense	log base 2 of 625- log base 2 of 125+1/3 log base 2 of 27	$\log_{2} (625) - \log_{2} (125) + \frac{1}{3} \log_{2} (27)$
117508	Simplify/Condense	1/6 natural log of x+ natural log of y	$\frac{1}{6} \ln (x) + \ln (y)$
117509	Find the Inverse	y = log of 1/3x	$y = \log (\frac{1}{3} x)$
117510	Find the Symmetry	f(x)=(x^2+4x-45)/(x^2-9)	$f (x) = \frac{x^{2} + 4 x - 45}{x^{2} - 9}$
117511	Find the GCF	14ab^2 , 42bc^3 , 18a^2c	$14 a b^{2}$ , $42 b c^{3}$ , $18 a^{2} c$
117512	Simplify/Condense	3 natural log of x-5 natural log of y	$3 \ln (x) - 5 \ln (y)$
117513	Simplify/Condense	1/6 natural log of y+ natural log of z	$\frac{1}{6} \ln (y) + \ln (z)$
117514	Determine if True	9(-5)-2*-3=17	$9 (- 5) - 2 \cdot - 3 = 17$
117515	Determine if True	9(1)+2(2)=13	$9 (1) + 2 (2) = 13$
117516	Find the Slope and y-intercept	-5x-4y=4	$- 5 x - 4 y = 4$
117517	Find the Slope and y-intercept	5x+8y-40=0	$5 x + 8 y - 40 = 0$
117518	Find the Slope and y-intercept	-6x-2y=-2	$- 6 x - 2 y = - 2$
117519	Find the Slope and y-intercept	9x-3y=2	$9 x - 3 y = 2$
117520	Find the Slope and y-intercept	8x-4y=3	$8 x - 4 y = 3$
117521	Find the Slope and y-intercept	-x+6y-42=0	$- x + 6 y - 42 = 0$
117522	Find the Slope and y-intercept	y-1/2x-4=0	$y - \frac{1}{2} x - 4 = 0$
117523	Find the Slope and y-intercept	y=7/4x-3	$y = \frac{7}{4} x - 3$
117524	Find the Slope and y-intercept	y=(5x-8)/2	$y = \frac{5 x - 8}{2}$
117525	Find the GCF	8x^4-12x^3+4x	$8 x^{4} - 12 x^{3} + 4 x$
117526	Find the GCF	16x^6+22x^2+30x^5	$16 x^{6} + 22 x^{2} + 30 x^{5}$
117527	Find the GCF	-12x^3+24x^2-16x	$- 12 x^{3} + 24 x^{2} - 16 x$
117528	Find the GCF	60n^5-70n^4-20n^3	$60 n^{5} - 70 n^{4} - 20 n^{3}$
117529	Find Where Undefined/Discontinuous	(x^2-36)/(4x+24)	$\frac{x^{2} - 36}{4 x + 24}$
117530	Find Where Undefined/Discontinuous	(3x^2+16x+5)/(9x^2-1)*(3x^2+2x-1)/(x^2+4x-5)	$\frac{3 x^{2} + 16 x + 5}{9 x^{2} - 1} \cdot \frac{3 x^{2} + 2 x - 1}{x^{2} + 4 x - 5}$
117531	Find the 5th Term	10 , -5 , 5/2	$10$ , $- 5$ , $\frac{5}{2}$
117532	Find the Fourth Term	10 , -5 , 5/2	$10$ , $- 5$ , $\frac{5}{2}$
117533	Find the Second Term	a(n)=-5+6(n-1)	$a (n) = - 5 + 6 (n - 1)$
117534	Convert to an Improper Fraction	4 1/7	$4 \frac{1}{7}$
117535	Find the Inverse	(x+20)/(x-5)	$\frac{x + 20}{x - 5}$
117536	Divide Using Synthetic Division	(x^2-9x+10)÷(x-2)	$(x^{2} - 9 x + 10) \div (x - 2)$
117537	Divide Using Synthetic Division	(k^4+k^3-2k^2-3)÷(k+1)	$(k^{4} + k^{3} - 2 k^{2} - 3) \div (k + 1)$
117538	Divide Using Synthetic Division	(2x^3-3x-10)÷(x-2)	$(2 x^{3} - 3 x - 10) \div (x - 2)$
117539	Divide Using Synthetic Division	(x^3-4x^2-47x+210)/(x-5)	$\frac{x^{3} - 4 x^{2} - 47 x + 210}{x - 5}$
117540	Divide Using Synthetic Division	(x^4-6x^2-29)/(x+2)	$\frac{(x^{4} - 6 x^{2} - 29)}{(x + 2)}$
117541	Divide Using Synthetic Division	(3x^3-5x^2-2)÷(x-1)	$(3 x^{3} - 5 x^{2} - 2) \div (x - 1)$
117542	Divide Using Synthetic Division	(-8x^5+10x^3-100)/(x+2)	$\frac{- 8 x^{5} + 10 x^{3} - 100}{x + 2}$
117543	Find the Maximum/Minimum Value	f(x)=-4x^2+24x-38	$f (x) = - 4 x^{2} + 24 x - 38$
117544	Find the Maximum/Minimum Value	f(x)=x^2-14x+40	$f (x) = x^{2} - 14 x + 40$
117545	Find the Vertex	k(x)=(x-1)^2+5	$k (x) = {(x - 1)}^{2} + 5$
117546	Find the Vertex	f(x)=3x^2-6x-9	$f (x) = 3 x^{2} - 6 x - 9$
117547	Find the Vertex	g(r)=-(r+11)(r+14)	$g (r) = - (r + 11) (r + 14)$
117548	Find the Vertex	f(x)=3x^2-18x+21	$f (x) = 3 x^{2} - 18 x + 21$
117549	Find the Vertex	r(x)=3x^2+6x+8	$r (x) = 3 x^{2} + 6 x + 8$
117550	Find the Vertex	p(x)=x^2+6x-7	$p (x) = x^{2} + 6 x - 7$
117551	Find the Maximum/Minimum Value	f(x)=3x^2-18x-1	$f (x) = 3 x^{2} - 18 x - 1$
117552	Find the Maximum/Minimum Value	f(x)=x^4-8x^3	$f (x) = x^{4} - 8 x^{3}$
117553	Find the Slope and y-intercept	f(x)=pi	$f (x) = π$
117554	Find the Slope	(2,5) , (8,-4)	$(2, 5)$ , $(8, - 4)$
117555	Find the Slope	(8,10) , (-7,14)	$(8, 10)$ , $(- 7, 14)$
117556	Solve Using the Square Root Property	4x^2=121	$4 x^{2} = 121$
117557	Solve Using the Square Root Property	-2x^2+146=-34	$- 2 x^{2} + 146 = - 34$
117558	Solve Using the Square Root Property	3(x+8)^2=36	$3 {(x + 8)}^{2} = 36$
117559	Solve Using the Square Root Property	(2x+3)^2=36	${(2 x + 3)}^{2} = 36$
117560	Solve Using the Square Root Property	6x^2+1=20	$6 x^{2} + 1 = 20$
117561	Factor by Grouping	x^2-3x+4ax-12a	$x^{2} - 3 x + 4 a x - 12 a$
117562	Factor by Grouping	5x^3+7x^2+30x+42	$5 x^{3} + 7 x^{2} + 30 x + 42$
117563	Factor by Grouping	16x^2y-24x^2-12y+18	$16 x^{2} y - 24 x^{2} - 12 y + 18$
117564	Factor by Grouping	5x^2-11x+6	$5 x^{2} - 11 x + 6$
117565	Factor by Grouping	4m-15p-5mp+12	$4 m - 15 p - 5 m p + 12$
117566	Find the Roots (Zeros)	x^4-x^3-9x^2+7x+14=0	$x^{4} - x^{3} - 9 x^{2} + 7 x + 14 = 0$
117567	Find the Roots (Zeros)	y=(x+1)(x-3)(x-4)	$y = (x + 1) (x - 3) (x - 4)$
117568	Find the Roots (Zeros)	y=x^2-13x+12	$y = x^{2} - 13 x + 12$
117569	Find the Roots (Zeros)	y=x^4+5x^3+8x^2+20x+16	$y = x^{4} + 5 x^{3} + 8 x^{2} + 20 x + 16$
117570	Find the Roots (Zeros)	x^4-13x^2-12x=0	$x^{4} - 13 x^{2} - 12 x = 0$
117571	Rationalize the Denominator	( square root of 27- square root of 6)/( square root of 18-3)	$\frac{\sqrt{27} - \sqrt{6}}{\sqrt{18} - 3}$
117572	Rationalize the Denominator	( square root of -36)/((2-3i)+(3+2i))	$\frac{\sqrt{- 36}}{(2 - 3 i) + (3 + 2 i)}$
117573	Find the Perfect Square Trinomial	u^2-10u+	$u^{2} - 10 u +$
117574	Find the Perfect Square Trinomial	v^2+4v+	$v^{2} + 4 v +$
117575	Find the Perfect Square Trinomial	x^2-30x+c	$x^{2} - 30 x + c$
117576	Find the Local Maxima and Minima	f(x)=-x^3+6x^2-9x-1	$f (x) = - x^{3} + 6 x^{2} - 9 x - 1$
117577	Find the Axis of Symmetry	y=3x^2-18x+1	$y = 3 x^{2} - 18 x + 1$
117578	Convert to Scientific Notation	51100	$51100$
117579	Convert to Scientific Notation	0.0056	$0.0056$
117580	Convert to Scientific Notation	31000000000	$31000000000$
117581	Convert to Scientific Notation	1.410^9-1.110^8	$1.4 \cdot 10^{9} - 1.1 \cdot 10^{8}$
117582	Convert to Scientific Notation	4.8*100^7	$4.8 \cdot 100^{7}$
117583	Write the Fraction in Simplest Form	9/90	$\frac{9}{90}$
117584	Find the Degree, Leading Term, and Leading Coefficient	9x^7-6x^2+13x^5	$9 x^{7} - 6 x^{2} + 13 x^{5}$
117585	Convert from Radians to Degrees	arcsin(-1/2)	$\arcsin (- \frac{1}{2})$
117586	Determine if Odd, Even, or Neither	f(x)=x+\|x\|	$f (x) = x + \| x \|$
117587	Determine if Odd, Even, or Neither	g(x)=x^2+4x	$g (x) = x^{2} + 4 x$
117588	Find the Distance Between Two Points	(0,-5) , (6,1)	$(0, - 5) (6, 1)$
117589	Find the Domain and Range	-7x^2-2x-4	$- 7 x^{2} - 2 x - 4$
117590	Find the Domain and Range	(x^2+4x-5)/(x^2+x-2)	$\frac{x^{2} + 4 x - 5}{x^{2} + x - 2}$
117591	Solve by Factoring	4x^4+7x^2-2=0	$4 x^{4} + 7 x^{2} - 2 = 0$
117592	Solve by Factoring	4x^2=28x	$4 x^{2} = 28 x$
117593	Solve by Factoring	6x^4=6000x	$6 x^{4} = 6000 x$
117594	Solve by Factoring	x^2+10x+13=4	$x^{2} + 10 x + 13 = 4$
117595	Solve by Factoring	10x^2=6x	$10 x^{2} = 6 x$
117596	Solve by Factoring	36x^4=85x^2-49	$36 x^{4} = 85 x^{2} - 49$
117597	Solve by Factoring	2x^3-16x^2-40x=0	$2 x^{3} - 16 x^{2} - 40 x = 0$
117598	Convert to a Simplified Fraction	69%	$69 %$
117599	Convert to a Simplified Fraction	-3.2	$- 3.2$
117600	Convert to a Simplified Fraction	-6.59	$- 6.59$