Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
11801	Find the Vertex	y=-2x^2-12x+1	$y = - 2 x^{2} - 12 x + 1$
11802	Factor	12x^2+7x+1	$12 x^{2} + 7 x + 1$
11803	Subtract	(5b^3+9b+4)-(9b-4)	$(5 b^{3} + 9 b + 4) - (9 b - 4)$
11804	Factor	12x^2+4x-5	$12 x^{2} + 4 x - 5$
11805	Factor	12x^2+19x+5	$12 x^{2} + 19 x + 5$
11806	Subtract	(x+1)-(-2x-5)	$(x + 1) - (- 2 x - 5)$
11807	Factor	4x^2+16	$4 x^{2} + 16$
11808	Subtract	180-112	$180 - 112$
11809	Factor	3a^2+16a+5	$3 a^{2} + 16 a + 5$
11810	Subtract	180-48	$180 - 48$
11811	Factor	27a^3-8b^3	$27 a^{3} - 8 b^{3}$
11812	Subtract	90-36	$90 - 36$
11813	Factor	25-9x^2	$25 - 9 x^{2}$
11814	Subtract	180-97	$180 - 97$
11815	Factor	18x^3y-51x^2y^2-42xy^3	$18 x^{3} y - 51 x^{2} y^{2} - 42 x y^{3}$
11816	Subtract	(x+4)/(x^2+6x+9)-1/(x^2-9)	$\frac{x + 4}{x^{2} + 6 x + 9} - \frac{1}{x^{2} - 9}$
11817	Factor	16a^2-40a+25	$16 a^{2} - 40 a + 25$
11818	Subtract	100-24	$100 - 24$
11819	Factor	2x^2+8	$2 x^{2} + 8$
11820	Subtract	(-5x)/(8x+7)-(6x^3)/(3x+1)	$\frac{- 5 x}{8 x + 7} - \frac{6 x^{3}}{3 x + 1}$
11821	Factor	2x^2-13x+21	$2 x^{2} - 13 x + 21$
11822	Subtract	(3x-2)/(2x^2-5x-3)-1/(x-3)	$\frac{3 x - 2}{2 x^{2} - 5 x - 3} - \frac{1}{x - 3}$
11823	Factor	2a^2+14a+12	$2 a^{2} + 14 a + 12$
11824	Factor	2x^2+17x+35	$2 x^{2} + 17 x + 35$
11825	Find the Inverse	a(b)=14*(b+5)/2	$a (b) = 14 \cdot \frac{b + 5}{2}$
11826	Factor	2x^2+19x+24	$2 x^{2} + 19 x + 24$
11827	Find the Inverse	g(x)=-3x	$g (x) = - 3 x$
11828	Factor	2x^2+3x-1	$2 x^{2} + 3 x - 1$
11829	Identify the Conic	10y^2+3y-5x=40	$10 y^{2} + 3 y - 5 x = 40$
11830	Factor	25x^2+64	$25 x^{2} + 64$
11831	Find the x and y Intercepts	f(x)=-7x^2+8x+2	$f (x) = - 7 x^{2} + 8 x + 2$
11832	Factor	25a^2-30a+9	$25 a^{2} - 30 a + 9$
11833	Convert to Radical Form	27^(1/3)	$27^{\frac{1}{3}}$
11834	Find the x and y Intercepts	f(x)=25x^2-10x+1	$f (x) = 25 x^{2} - 10 x + 1$
11835	Convert to Radical Form	8^(5/3)	$8^{\frac{5}{3}}$
11836	Convert to Logarithmic Form	e^2=7.389	$e^{2} = 7.389$
11837	Convert to Radical Form	8^(1/3)	$8^{\frac{1}{3}}$
11838	Convert to Logarithmic Form	9^1.5=27	$9^{1.5} = 27$
11839	Convert to Radical Form	(-8)^(1/3)	${(- 8)}^{\frac{1}{3}}$
11840	Find the Inverse	y=(x+4)/7	$y = \frac{x + 4}{7}$
11841	Convert to Radical Form	x^(2/7)	$x^{\frac{2}{7}}$
11842	Find the Inverse	y=5-8x	$y = 5 - 8 x$
11843	Find the Inverse	y=x^2-12	$y = x^{2} - 12$
11844	Convert to Interval Notation	x>-1	$x > - 1$
11845	Simplify/Condense	5 natural log of 2+7 natural log of x+4 natural log of y	$5 \ln (2) + 7 \ln (x) + 4 \ln (y)$
11846	Simplify/Condense	natural log of x- natural log of yx	$\ln (x) - \ln (y x)$
11847	Find the Inverse	f(x)=4x-1	$f (x) = 4 x - 1$
11848	Find the Inverse	f(x)=x-8	$f (x) = x - 8$
11849	Find the Roots (Zeros)	x^3+10x^2-25x-250	$x^{3} + 10 x^{2} - 25 x - 250$
11850	Simplify	(x^27y)^(1/3)	${(x^{27} y)}^{\frac{1}{3}}$
11851	Simplify	- square root of 81	$- \sqrt{81}$
11852	Graph	\|x\|<=0	$\| x \| \leq 0$
11853	Solve by Substitution	y=-2 , 4x-3y=18	$y = - 2$ , $4 x - 3 y = 18$
11854	Determine if the Expression is a Perfect Square	9x^2-12x+4	$9 x^{2} - 12 x + 4$
11855	Simplify/Condense	log base 3 of 27	$\log_{3} (27)$
11856	Convert to Interval Notation	x/4-1/5<=x/5+1	$\frac{x}{4} - \frac{1}{5} \leq \frac{x}{5} + 1$
11857	Simplify/Condense	log base 8 of 32	$\log_{8} (32)$
11858	Expand the Logarithmic Expression	log base 5 of 1/25	$\log_{5} (\frac{1}{25})$
11859	Solve by Completing the Square	x^2+16x=41	$x^{2} + 16 x = 41$
11860	Find the Quadrant	(0,0)	$(0, 0)$
11861	Solve by Completing the Square	5x^2+6x-4=0	$5 x^{2} + 6 x - 4 = 0$
11862	Solve by Completing the Square	2x^2-4x=14	$2 x^{2} - 4 x = 14$
11863	Evaluate	natural log of 1/( square root of e)	$\ln (\frac{1}{\sqrt{e}})$
11864	Find the LCD	(3a)/((a+1)^2) , (2a)/(a+1) , (5a^3)/((a+1)^3)	$\frac{3 a}{{(a + 1)}^{2}}$ , $\frac{2 a}{a + 1}$ , $\frac{5 a^{3}}{{(a + 1)}^{3}}$
11865	Find the Roots (Zeros)	square root of x+1=7-2 square root of x	$\sqrt{x} + 1 = 7 - 2 \sqrt{x}$
11866	Find the Roots (Zeros)	x(x^2-4)(x^2+16)=0	$x (x^{2} - 4) (x^{2} + 16) = 0$
11867	Evaluate	log base 3 of 13	$\log_{3} (13)$
11868	Find Amplitude, Period, and Phase Shift	f(x)=-3sin(1/2x)	$f (x) = - 3 \sin (\frac{1}{2} x)$
11869	Evaluate	log base 3 of fourth root of 3	$\log_{3} (\sqrt[4]{3})$
11870	Find the Vertex	f(x)=\|x+1\|-7	$f (x) = \| x + 1 \| - 7$
11871	Evaluate	10^( log of 9)	$10^{\log (9)}$
11872	Find the Vertex	g(x)=(x+9)(x+8)	$g (x) = (x + 9) (x + 8)$
11873	Evaluate	log base 7 of square root of 7	$\log_{7} (\sqrt{7})$
11874	Divide Using Synthetic Division	(x^3-13x^2+47x-35)÷(x-1)	$(x^{3} - 13 x^{2} + 47 x - 35) \div (x - 1)$
11875	Evaluate	log base 7 of 19	$\log_{7} (19)$
11876	Divide Using Synthetic Division	(x^3-x^2-17x-15)/(x-5)	$\frac{(x^{3} - x^{2} - 17 x - 15)}{(x - 5)}$
11877	Evaluate	log base 4 of 19	$\log_{4} (19)$
11878	Find the Vertex	f(x)=\|x-5\|+10	$f (x) = \| x - 5 \| + 10$
11879	Evaluate	natural log of (e)^2	$\ln ({(e)}^{2})$
11880	Find the Maximum/Minimum Value	A(w)=-w^2+100w	$A (w) = - w^{2} + 100 w$
11881	Evaluate	e^( natural log of 4)	$e^{\ln (4)}$
11882	Expand the Logarithmic Expression	log of x/y	$\log (\frac{x}{y})$
11883	Rationalize the Denominator	(7x^5)/( square root of x)	$\frac{7 x^{5}}{\sqrt{x}}$
11884	Expand the Logarithmic Expression	log of x/(y^5)	$\log (\frac{x}{y^{5}})$
11885	Rationalize the Denominator	(6x^5)/( square root of 11x+10)	$\frac{6 x^{5}}{\sqrt{11 x + 10}}$
11886	Expand the Logarithmic Expression	log of 4	$\log (4)$
11887	Rationalize the Denominator	( square root of 125- square root of 6)/( square root of 30-5)	$\frac{\sqrt{125} - \sqrt{6}}{\sqrt{30} - 5}$
11888	Expand the Logarithmic Expression	natural log of 15x	$\ln (15 x)$
11889	Find the Symmetry	4x^2+y^2=9	$4 x^{2} + y^{2} = 9$
11890	Convert to Scientific Notation	7.910^7+6.510^6	$7.9 \cdot 10^{7} + 6.5 \cdot 10^{6}$
11891	Expand the Logarithmic Expression	natural log of e^(2x)	$\ln (e^{2 x})$
11892	Determine if Linear	y=7x-3(x-1)	$y = 7 x - 3 (x - 1)$
11893	Write in Exponential Form	log base 3 of x=4	$\log_{3} (x) = 4$
11894	Find the Domain and Range	y=4^(x-5)+3	$y = 4^{x - 5} + 3$
11895	Evaluate	26/2	$\frac{26}{2}$
11896	Identify the Sequence	-8 , -40 , -200 , -1000	$- 8$ , $- 40$ , $- 200$ , $- 1000$
11897	Evaluate	21/3	$\frac{21}{3}$
11898	Solve Using the Square Root Property	(x-1)^2+3=12	${(x - 1)}^{2} + 3 = 12$
11899	Evaluate	20/8	$\frac{20}{8}$
11900	Solve Using the Square Root Property	-5x^2=11	$- 5 x^{2} = 11$