Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
14901	Find Where Undefined/Discontinuous	(3n^4+6n^3)/(6n^4+9n^3)	$\frac{3 n^{4} + 6 n^{3}}{6 n^{4} + 9 n^{3}}$
14902	Find the Inverse	f(x)=7x+2	$f (x) = 7 x + 2$
14903	Find Where Undefined/Discontinuous	(-7z)/(4z+1)	$\frac{- 7 z}{4 z + 1}$
14904	Find Where Undefined/Discontinuous	(x^2+8x+4)/(x^2-x-6)	$\frac{x^{2} + 8 x + 4}{x^{2} - x - 6}$
14905	Convert to Radical Form	x^(-5/3)	$x^{- \frac{5}{3}}$
14906	Find Where Undefined/Discontinuous	(20n^3+15n^2)/(20n^2+10n)	$\frac{20 n^{3} + 15 n^{2}}{20 n^{2} + 10 n}$
14907	Find the Inverse	f(x)=6x	$f (x) = 6 x$
14908	Find Where Undefined/Discontinuous	(11k)/(55k^2+22k)	$\frac{11 k}{55 k^{2} + 22 k}$
14909	Find Where Undefined/Discontinuous	(12n^7+144n^6)/(n^3+8n^2-48n)*(n^2-8n+16)/(n^2)	$\frac{12 n^{7} + 144 n^{6}}{n^{3} + 8 n^{2} - 48 n} \cdot \frac{n^{2} - 8 n + 16}{n^{2}}$
14910	Find the Inverse	f(x)=3	$f (x) = 3$
14911	Find the Vertex	y=-4x^2-24x-28	$y = - 4 x^{2} - 24 x - 28$
14912	Find the Inverse	f(x)=x^2-3	$f (x) = x^{2} - 3$
14913	Find the Vertex	y=x^2-8x-4	$y = x^{2} - 8 x - 4$
14914	Find the Inverse	f(x)=x^2-9	$f (x) = x^{2} - 9$
14915	Find the Inverse	f(x)=x^2+1	$f (x) = x^{2} + 1$
14916	Find the Vertex	f(x)+2=1/6\|x-3\|	$f (x) + 2 = \frac{1}{6} \| x - 3 \|$
14917	Find the Slope and y-intercept	2y-4x=32	$2 y - 4 x = 32$
14918	Find the Inverse	f(x)=2/x	$f (x) = \frac{2}{x}$
14919	Find the Slope and y-intercept	y=9x+8	$y = 9 x + 8$
14920	Find the Domain and Range	f(x)=x^4-16x^2	$f (x) = x^{4} - 16 x^{2}$
14921	Find the Slope and y-intercept	y=-9x-6	$y = - 9 x - 6$
14922	Find the Slope and y-intercept	y=9x+7	$y = 9 x + 7$
14923	Find the Slope and y-intercept	-9x+3y=6	$- 9 x + 3 y = 6$
14924	Find the Domain and Range	natural log of x+1	$\ln (x + 1)$
14925	Find the Slope and y-intercept	-4x+y=-3	$- 4 x + y = - 3$
14926	Find the Domain and Range	log of x-1	$\log (x - 1)$
14927	Find the Slope and y-intercept	4y-5x=5	$4 y - 5 x = 5$
14928	Find the Properties	f(x)=x^2-8x+15	$f (x) = x^{2} - 8 x + 15$
14929	Evaluate Using the Given Value	f(1)=3^1	$f (1) = 3^{1}$
14930	Find the Vertex	f(x)=x^2-8x-9	$f (x) = x^{2} - 8 x - 9$
14931	Find the Perfect Square Trinomial	y^2-16y+	$y^{2} - 16 y +$
14932	Solve by Substitution	x+y=3 , x-y=1	$x + y = 3$ , $x - y = 1$
14933	Find the Roots (Zeros)	f(x)=x^3+10x^2+24x	$f (x) = x^{3} + 10 x^{2} + 24 x$
14934	Find the Roots (Zeros)	f(x)=x^2+12x+32	$f (x) = x^{2} + 12 x + 32$
14935	Find the Center and Radius	x^2+y^2=10	$x^{2} + y^{2} = 10$
14936	Find the Roots (Zeros)	f(x)=6x^3-7x^2+2x+8	$f (x) = 6 x^{3} - 7 x^{2} + 2 x + 8$
14937	Find the Roots (Zeros)	f(x)=12x+27	$f (x) = 12 x + 27$
14938	Expand the Logarithmic Expression	log base 2 of 1/32	$\log_{2} (\frac{1}{32})$
14939	Find the Inverse	y=2x^2+7	$y = 2 x^{2} + 7$
14940	Expand the Logarithmic Expression	log base 2 of 3x	$\log_{2} (3 x)$
14941	Find the Inverse	y = log base 4 of x+1	$y = \log_{4} (x) + 1$
14942	Simplify/Condense	1/3 natural log of (x+2)^3+1/2( natural log of x- natural log of (x^2+3x+2)^2)	$\frac{1}{3} \ln ({(x + 2)}^{3}) + \frac{1}{2} (\ln (x) - \ln ({(x^{2} + 3 x + 2)}^{2}))$
14943	Find the Center and Radius	x^2+y^2-10x-10y+25=0	$x^{2} + y^{2} - 10 x - 10 y + 25 = 0$
14944	Simplify/Condense	log base 2 of 32	$\log_{2} (32)$
14945	Find the Center and Radius	x^2+y^2-2x-10y+26=0	$x^{2} + y^{2} - 2 x - 10 y + 26 = 0$
14946	Find the Quadrant	(0,5)	$(0, 5)$
14947	Find the Center and Radius	x^2+(y-7.5)^2=9/49	$x^{2} + {(y - 7.5)}^{2} = \frac{9}{49}$
14948	Find the Center and Radius	x^2+y^2+10x+6y+18=0	$x^{2} + y^{2} + 10 x + 6 y + 18 = 0$
14949	Graph	y=x^4- square root of x	$y = x^{4} - \sqrt{x}$
14950	Evaluate	log of 10^6	$\log (10^{6})$
14951	Find the Behavior (Leading Coefficient Test)	f(x)=-2x^3(x-1)(x+5)	$f (x) = - 2 x^{3} (x - 1) (x + 5)$
14952	Evaluate	natural log of 16	$\ln (16)$
14953	Evaluate	log base 27 of 81	$\log_{27} (81)$
14954	Combine	8k-5(-5k+3)	$8 k - 5 (- 5 k + 3)$
14955	Evaluate	log base 7 of 42	$\log_{7} (42)$
14956	Convert to Regular Notation	4.88*10^3	$4.88 \cdot 10^{3}$
14957	Evaluate	natural log of 1.8	$\ln (1.8)$
14958	Convert to Regular Notation	1*10^-4	$1 \cdot 10^{- 4}$
14959	Evaluate	log base 5 of 50	$\log_{5} (50)$
14960	Evaluate	log base 5 of 1/( square root of 5)	$\log_{5} (\frac{1}{\sqrt{5}})$
14961	Evaluate	log base 7 of 2	$\log_{7} (2)$
14962	Solve by Factoring	x^2+11x+18=0	$x^{2} + 11 x + 18 = 0$
14963	Solve by Factoring	2x(x-5)=6x^2-11x	$2 x (x - 5) = 6 x^{2} - 11 x$
14964	Evaluate	log base 9 of 1/729	$\log_{9} (\frac{1}{729})$
14965	Find the End Behavior	f(x)=3(x-1)(x+5)^2	$f (x) = 3 (x - 1) {(x + 5)}^{2}$
14966	Convert to Logarithmic Form	1/4=2^-2	$\frac{1}{4} = 2^{- 2}$
14967	Find the Function Rule	table[[x,q(x)],[1,3],[2,6],[3,11],[4,18]]	$\begin{array}{c} x & q (x) \\ 1 & 3 \\ 2 & 6 \\ 3 & 11 \\ 4 & 18 \end{array}$
14968	Write in Exponential Form	natural log of 3=x	$\ln (3) = x$
14969	Expand the Logarithmic Expression	natural log of 11 root of x	$\ln (\sqrt[11]{x})$
14970	Expand the Logarithmic Expression	natural log of 14 root of x	$\ln (\sqrt[14]{x})$
14971	Expand the Logarithmic Expression	natural log of fourth root of x	$\ln (\sqrt[4]{x})$
14972	Factor by Grouping	a^3-4a^2+5a-20	$a^{3} - 4 a^{2} + 5 a - 20$
14973	Evaluate	30/5	$\frac{30}{5}$
14974	Factor by Grouping	2xy-6x-y^2+3y	$2 x y - 6 x - y^{2} + 3 y$
14975	Evaluate	330/-110	$\frac{330}{- 110}$
14976	Evaluate	28/5	$\frac{28}{5}$
14977	Find the Degree	x^6+3-2x^2+4x^7-4x	$x^{6} + 3 - 2 x^{2} + 4 x^{7} - 4 x$
14978	Evaluate	27/2	$\frac{27}{2}$
14979	Evaluate	22/3	$\frac{22}{3}$
14980	Convert to Radical Form	s6/5	$s \frac{6}{5}$
14981	Evaluate	125^(-5/3)	$125^{- \frac{5}{3}}$
14982	Convert to Radical Form	5 1/7	$5 \frac{1}{7}$
14983	Evaluate	15/100	$\frac{15}{100}$
14984	Evaluate	196^(-1/2)	$196^{- \frac{1}{2}}$
14985	Use the Rational Roots Test to Find All Possible Roots	f(x)=25x^4-7x^2+x+4	$f (x) = 25 x^{4} - 7 x^{2} + x + 4$
14986	Evaluate	(64/125)^(-4/3)	${(\frac{64}{125})}^{- \frac{4}{3}}$
14987	Evaluate	(5/6)^-3	${(\frac{5}{6})}^{- 3}$
14988	Find the Maximum/Minimum Value	h(t)=100t-16t^2	$h (t) = 100 t - 16 t^{2}$
14989	Evaluate	-(5/3)^3	$- {(\frac{5}{3})}^{3}$
14990	Find the Maximum/Minimum Value	r(p)=-2.5p^2+650p	$r (p) = - 2.5 p^{2} + 650 p$
14991	Evaluate	(5/9)^-2	${(\frac{5}{9})}^{- 2}$
14992	Find the Vertex	f(x)=(x-6)^2-12.25	$f (x) = {(x - 6)}^{2} - 12.25$
14993	Evaluate	(4/25)^(1/2)	${(\frac{4}{25})}^{\frac{1}{2}}$
14994	Find the Vertex	f(x)=4x^2-10x+3	$f (x) = 4 x^{2} - 10 x + 3$
14995	Evaluate	-(4/3)^3	$- {(\frac{4}{3})}^{3}$
14996	Find the Roots (Zeros)	(7x^2+29x+24)/(5x^2+19x+12)	$\frac{7 x^{2} + 29 x + 24}{5 x^{2} + 19 x + 12}$
14997	Evaluate	(8/5)^-2	${(\frac{8}{5})}^{- 2}$
14998	Find the Roots (Zeros)	2x^3-4x^2-38x+76	$2 x^{3} - 4 x^{2} - 38 x + 76$
14999	Evaluate	(8)^(5/3)	${(8)}^{\frac{5}{3}}$
15000	Find the Roots (Zeros)	x^3-6x^2+4x+15	$x^{3} - 6 x^{2} + 4 x + 15$