Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
89701	Find the Roots/Zeros Using the Rational Roots Test	2x^3+3x^2-1	$2 x^{3} + 3 x^{2} - 1$
89702	Subtract	0-4	$0 - 4$
89703	Evaluate	square root of 0.81	$\sqrt{0.81}$
89704	Write with Rational (Fractional) Exponents	( cube root of x^4)^5	${(\sqrt[3]{x^{4}})}^{5}$
89705	Write with Rational (Fractional) Exponents	( ninth root of 16)^2	${(\sqrt[9]{16})}^{2}$
89706	Evaluate Using the Given Value	f(32) = log base 2 of 32	$f (32) = \log_{2} (32)$
89707	Write with Rational (Fractional) Exponents	(-12+ square root of -45)/24	$\frac{- 12 + \sqrt{- 45}}{24}$
89708	Write with Rational (Fractional) Exponents	( square root of 7)^3	${(\sqrt{7})}^{3}$
89709	Evaluate Using the Given Value	f(-7)=-7^2-(-7)+7	$f (- 7) = - 7^{2} - (- 7) + 7$
89710	Convert to Scientific Notation	1789	$1789$
89711	Simplify	9 square root of 2	$9 \sqrt{2}$
89712	Evaluate Using the Given Value	4/3=-6e-5/3	$\frac{4}{3} = - 6 e - \frac{5}{3}$
89713	Simplify	square root of 144/49	$\sqrt{\frac{144}{49}}$
89714	Evaluate Using the Given Value	f(1)=2(1)	$f (1) = 2 (1)$
89715	Write with Rational (Fractional) Exponents	square root of 7/6	$\sqrt{\frac{7}{6}}$
89716	Evaluate Using the Given Value	f(2)=2+9	$f (2) = 2 + 9$
89717	Write with Rational (Fractional) Exponents	square root of y^19	$\sqrt{y^{19}}$
89718	Evaluate Using the Given Value	y-3x^2-6x+13=y	$y - 3 x^{2} - 6 x + 13 = y$
89719	Write with Rational (Fractional) Exponents	square root of 2x	$\sqrt{2 x}$
89720	Write with Rational (Fractional) Exponents	cube root of -125	$\sqrt[3]{- 125}$
89721	Write with Rational (Fractional) Exponents	cube root of 25	$\sqrt[3]{25}$
89722	Find Where Undefined/Discontinuous	(2y^2+2)/(y^3-5y^2+y-5)	$\frac{(2 y^{2} + 2)}{y^{3} - 5 y^{2} + y - 5}$
89723	Write with Rational (Fractional) Exponents	square root of 6p	$\sqrt{6 p}$
89724	Find Where Undefined/Discontinuous	(3x-12)/(9-x)	$\frac{(3 x - 12)}{9 - x}$
89725	Write with Rational (Fractional) Exponents	square root of 6x	$\sqrt{6 x}$
89726	Find Where Undefined/Discontinuous	(3z^6+21z^4)/(z^4+11z^2+28)	$\frac{(3 z^{6} + 21 z^{4})}{z^{4} + 11 z^{2} + 28}$
89727	Write with Rational (Fractional) Exponents	square root of 9x^2	$\sqrt{9 x^{2}}$
89728	Convert to Radical Form	(5x^(-1/2))^-2	${(5 x^{- \frac{1}{2}})}^{- 2}$
89729	Find Where Undefined/Discontinuous	(4x^2-16)/(2x-4)	$\frac{(4 x^{2} - 16)}{2 x - 4}$
89730	Convert to Radical Form	(-8)^(5/3)	${(- 8)}^{\frac{5}{3}}$
89731	Find Where Undefined/Discontinuous	(5/x+3/y)/(3x+5y)	$\frac{\frac{5}{x} + \frac{3}{y}}{3 x + 5 y}$
89732	Convert to Radical Form	(-81)^(1/4)	${(- 81)}^{\frac{1}{4}}$
89733	Find Where Undefined/Discontinuous	(8/x+3/y)/(3x+8y)	$\frac{\frac{8}{x} + \frac{3}{y}}{3 x + 8 y}$
89734	Convert to Radical Form	(-125)^(4/3)	${(- 125)}^{\frac{4}{3}}$
89735	Find Where Undefined/Discontinuous	(8/x+5/y)/(5x+8y)	$\frac{\frac{8}{x} + \frac{5}{y}}{5 x + 8 y}$
89736	Convert to Radical Form	(xy)^(6/7)	${(x y)}^{\frac{6}{7}}$
89737	Convert to Radical Form	((x^4)^(1/3))/(x^(10/3))	$\frac{{(x^{4})}^{\frac{1}{3}}}{x^{\frac{10}{3}}}$
89738	Simplify	(x^-4)/(x^7)	$\frac{x^{- 4}}{x^{7}}$
89739	Find Where Undefined/Discontinuous	(x^2+12x+27)/(x^2+4x+3)	$\frac{(x^{2} + 12 x + 27)}{x^{2} + 4 x + 3}$
89740	Complete the Square	x^2-20x	$x^{2} - 20 x$
89741	Find Where Undefined/Discontinuous	(x^2-9x)/(x^2-7x-18)	$\frac{(x^{2} - 9 x)}{x^{2} - 7 x - 18}$
89742	Find Where Undefined/Discontinuous	(x^4-2x^3+x^2)/(14x^4-8x^3-6x^2)	$\frac{(x^{4} - 2 x^{3} + x^{2})}{14 x^{4} - 8 x^{3} - 6 x^{2}}$
89743	Convert to Radical Form	z^(5/8)	$z^{\frac{5}{8}}$
89744	Convert to Radical Form	y^(-5/6)	$y^{- \frac{5}{6}}$
89745	Find Where Undefined/Discontinuous	( square root of 2x^2)/( square root of 5x)	$\frac{\sqrt{2 x^{2}}}{\sqrt{5 x}}$
89746	Convert to Radical Form	6x^(3/2)	$6 x^{\frac{3}{2}}$
89747	Find Where Undefined/Discontinuous	12/(19x)	$\frac{12}{19 x}$
89748	Convert to Radical Form	5m^(1/5)	$5 m^{\frac{1}{5}}$
89749	Find Where Undefined/Discontinuous	12/(22x)	$\frac{12}{22 x}$
89750	Convert to Radical Form	5m^(1/2)	$5 m^{\frac{1}{2}}$
89751	Find Where Undefined/Discontinuous	13/(3x^2-14x-80)	$\frac{13}{3 x^{2} - 14 x - 80}$
89752	Convert to Radical Form	3x^(1/2)	$3 x^{\frac{1}{2}}$
89753	Convert to Radical Form	3x^(1/3)	$3 x^{\frac{1}{3}}$
89754	Find Where Undefined/Discontinuous	(13z)/(z^2-4z+4)	$\frac{13 z}{z^{2} - 4 z + 4}$
89755	Convert to Radical Form	3m^(1/4)	$3 m^{\frac{1}{4}}$
89756	Find Where Undefined/Discontinuous	(16-4y^2)/(3y^2-12y+12)	$\frac{16 - 4 y^{2}}{3 y^{2} - 12 y + 12}$
89757	Convert to Radical Form	t^(5/7)	$t^{\frac{5}{7}}$
89758	Find Where Undefined/Discontinuous	(18a)/7*(14a^6)/3	$\frac{18 a}{7} \cdot \frac{14 a^{6}}{3}$
89759	Convert to Radical Form	q^(3/2)	$q^{\frac{3}{2}}$
89760	Find Where Undefined/Discontinuous	(190x)/(100-x)	$\frac{190 x}{100 - x}$
89761	Convert to Radical Form	7^(5/6)	$7^{\frac{5}{6}}$
89762	Find Where Undefined/Discontinuous	(19y)/(12y-13)	$\frac{19 y}{12 y - 13}$
89763	Convert to Radical Form	9^(-1/2)	$9^{- \frac{1}{2}}$
89764	Find Where Undefined/Discontinuous	-2/(9x^3)*6/(5x^5)	$\frac{- 2}{9 x^{3}} \cdot \frac{6}{5 x^{5}}$
89765	Convert to Radical Form	3^(3/4)	$3^{\frac{3}{4}}$
89766	Find Where Undefined/Discontinuous	2/(9y^5)*(15y^5)/8	$\frac{2}{9 y^{5}} \cdot \frac{15 y^{5}}{8}$
89767	Convert to Radical Form	243^(1/5)	$243^{\frac{1}{5}}$
89768	Convert to Radical Form	23^(1/3)	$23^{\frac{1}{3}}$
89769	Find Where Undefined/Discontinuous	(21y)/(5y-7)	$\frac{21 y}{5 y - 7}$
89770	Convert to Radical Form	-16^(1/2)	$- 16^{\frac{1}{2}}$
89771	Convert to Radical Form	16^(-1/2)	$16^{- \frac{1}{2}}$
89772	Find Where Undefined/Discontinuous	(27y^3-216)/(3y-6)	$\frac{27 y^{3} - 216}{3 y - 6}$
89773	Convert to Radical Form	196^(1/2)	$196^{\frac{1}{2}}$
89774	Convert to Radical Form	(12y^(1/3))/(4y^(1/2))	$\frac{12 y^{\frac{1}{3}}}{4 y^{\frac{1}{2}}}$
89775	Find Where Undefined/Discontinuous	(27z^3-8)/(3z-2)	$\frac{27 z^{3} - 8}{3 z - 2}$
89776	Convert to Radical Form	1000^(2/3)	$1000^{\frac{2}{3}}$
89777	Find Where Undefined/Discontinuous	(2r^3-6r^2)/(r^2-3r)	$\frac{2 r^{3} - 6 r^{2}}{r^{2} - 3 r}$
89778	Convert to Radical Form	1000^(-5/3)	$1000^{- \frac{5}{3}}$
89779	Find Where Undefined/Discontinuous	(2w)/(3w-9)	$\frac{2 w}{3 w - 9}$
89780	Find Where Undefined/Discontinuous	(2x)/(9x^2-7x)	$\frac{2 x}{9 x^{2} - 7 x}$
89781	Find Where Undefined/Discontinuous	(-2x)/(x^2-5x)	$\frac{- 2 x}{x^{2} - 5 x}$
89782	Find Where Undefined/Discontinuous	(2x)/(x+14)+(x+14)/(x-14)	$\frac{2 x}{x + 14} + \frac{x + 14}{x - 14}$
89783	Convert to Interval Notation	\|2x+9\|<5	$\| 2 x + 9 \| < 5$
89784	Convert to Interval Notation	\|x\|<12	$\| x \| < 12$
89785	Find Where Undefined/Discontinuous	(2x^2-32)/(6x^2+13x-5)	$\frac{2 x^{2} - 32}{6 x^{2} + 13 x - 5}$
89786	Solve for x	square root of x+11=15	$\sqrt{x} + 11 = 15$
89787	Convert to Interval Notation	\|x\|>12	$\| x \| > 12$
89788	Convert to Interval Notation	\|x\|>-3	$\| x \| > - 3$
89789	Find Where Undefined/Discontinuous	(2x-10)/(x^2-10x+25)	$\frac{2 x - 10}{x^{2} - 10 x + 25}$
89790	Convert to Interval Notation	\|x\|>-7	$\| x \| > - 7$
89791	Find Where Undefined/Discontinuous	(2x-6)/(x^2-4x+3)	$\frac{2 x - 6}{x^{2} - 4 x + 3}$
89792	Find Where Undefined/Discontinuous	3/(5x)	$\frac{3}{5 x}$
89793	Convert to Interval Notation	\|x+4\|>3	$\| x + 4 \| > 3$
89794	Find Where Undefined/Discontinuous	3/(7x+2)+(7x)/(49x^2-4)	$\frac{3}{7 x + 2} + \frac{7 x}{49 x^{2} - 4}$
89795	Find Where Undefined/Discontinuous	(3x)/(x^2-9)	$\frac{3 x}{x^{2} - 9}$
89796	Find Where Undefined/Discontinuous	(-3x^2+12x)/(x^2-5x+4)	$\frac{- 3 x^{2} + 12 x}{x^{2} - 5 x + 4}$
89797	Find Where Undefined/Discontinuous	(3x^2+17x+10)/(9x^2-4)*(3x^2+4x-4)/(x^2+3x-10)	$\frac{3 x^{2} + 17 x + 10}{9 x^{2} - 4} \cdot \frac{3 x^{2} + 4 x - 4}{x^{2} + 3 x - 10}$
89798	Convert to Interval Notation	\|10-4x\|<-13	$\| 10 - 4 x \| < - 13$
89799	Find Where Undefined/Discontinuous	((3x^2-2x-1)/(x^2-3x+2))÷((3x^2+7x+2)/(3x^2+5x-2))	$\frac{3 x^{2} - 2 x - 1}{x^{2} - 3 x + 2} \div \frac{3 x^{2} + 7 x + 2}{3 x^{2} + 5 x - 2}$
89800	Convert to Interval Notation	\|(x-3)/2\|>1	$\| \frac{x - 3}{2} \| > 1$