Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
28001	Find the Roots/Zeros Using the Rational Roots Test	p(x)=x^4-9x^2-4x+12	$p (x) = x^{4} - 9 x^{2} - 4 x + 12$
28002	Convert to Radical Form	x^(3/7)	$x^{\frac{3}{7}}$
28003	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^4+5x^3+10x^2+20x+24	$f (x) = x^{4} + 5 x^{3} + 10 x^{2} + 20 x + 24$
28004	Convert to Radical Form	m^(-1/2)	$m^{- \frac{1}{2}}$
28005	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-91x+90	$f (x) = x^{3} - 91 x + 90$
28006	Convert to Radical Form	64^(-2/3)	$64^{- \frac{2}{3}}$
28007	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-9x^2+33x-65	$f (x) = x^{3} - 9 x^{2} + 33 x - 65$
28008	Convert to Radical Form	a^(6/5)	$a^{\frac{6}{5}}$
28009	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-x^2-5x-3	$f (x) = x^{3} - x^{2} - 5 x - 3$
28010	Convert to Radical Form	(5x)^(-5/4)	${(5 x)}^{- \frac{5}{4}}$
28011	Convert to Radical Form	(3y+x)^(4/5)	${(3 y + x)}^{\frac{4}{5}}$
28012	Complete the Square	x^2-6x	$x^{2} - 6 x$
28013	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^4-2x^3-34x^2-67x-30	$f (x) = x^{4} - 2 x^{3} - 34 x^{2} - 67 x - 30$
28014	Write with Rational (Fractional) Exponents	square root of 125	$\sqrt{125}$
28015	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^4-6x^3+50x^2+122x+65	$f (x) = x^{4} - 6 x^{3} + 50 x^{2} + 122 x + 65$
28016	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+7x^2-5x-35	$f (x) = x^{3} + 7 x^{2} - 5 x - 35$
28017	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-5x^2-13x-7	$f (x) = x^{3} - 5 x^{2} - 13 x - 7$
28018	Find the Roots/Zeros Using the Rational Roots Test	x^3-2x^2-3x+6	$x^{3} - 2 x^{2} - 3 x + 6$
28019	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+9x^2-31x-39	$f (x) = x^{3} + 9 x^{2} - 31 x - 39$
28020	Evaluate Using the Given Value	f(9) = square root of 9	$f (9) = \sqrt{9}$
28021	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^2+3x-9	$f (x) = x^{2} + 3 x - 9$
28022	Determine the Possible Number of Real Roots	x^3+9x^2+23x+15	$x^{3} + 9 x^{2} + 23 x + 15$
28023	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+3x^2-117x-119	$f (x) = x^{3} + 3 x^{2} - 117 x - 119$
28024	Find the Inverse	f(x)=x-9	$f (x) = x - 9$
28025	Find the Roots/Zeros Using the Rational Roots Test	f(x)=7x^3-x^2-77x+11	$f (x) = 7 x^{3} - x^{2} - 77 x + 11$
28026	Find the Inverse	f(x)=9x+5	$f (x) = 9 x + 5$
28027	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^4-17x^3+35x^2+9x-45	$f (x) = 2 x^{4} - 17 x^{3} + 35 x^{2} + 9 x - 45$
28028	Find the Inverse	f(x)=5x-4	$f (x) = 5 x - 4$
28029	Find the Roots/Zeros Using the Rational Roots Test	f(x)=3x^4+28x^3+102x^2+148x+39	$f (x) = 3 x^{4} + 28 x^{3} + 102 x^{2} + 148 x + 39$
28030	Find the Inverse	f(x)=3x-8	$f (x) = 3 x - 8$
28031	Find the Domain	f(x) = square root of x-10	$f (x) = \sqrt{x - 10}$
28032	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^3+23x^2+58x-35	$f (x) = 2 x^{3} + 23 x^{2} + 58 x - 35$
28033	Find the Inverse	f(x) = square root of x-6	$f (x) = \sqrt{x - 6}$
28034	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^3-4x^2-10x+20	$f (x) = 2 x^{3} - 4 x^{2} - 10 x + 20$
28035	Find the Inverse	f(x) = cube root of x-3	$f (x) = \sqrt[3]{x - 3}$
28036	Find the Roots/Zeros Using the Rational Roots Test	f(x)=15x^12+41x^9+13x^2-10	$f (x) = 15 x^{12} + 41 x^{9} + 13 x^{2} - 10$
28037	Find the Inverse	f(x)=(6x-7)/5	$f (x) = \frac{6 x - 7}{5}$
28038	Find the Roots/Zeros Using the Rational Roots Test	f(x)=15x^23+41x^19+13x^5-10	$f (x) = 15 x^{23} + 41 x^{19} + 13 x^{5} - 10$
28039	Graph	x=(y-2)^2-8	$x = {(y - 2)}^{2} - 8$
28040	Split Using Partial Fraction Decomposition	(7x-1)/(x^2-x-6)	$\frac{7 x - 1}{x^{2} - x - 6}$
28041	Find the Domain and Range	-x^2+6x-5	$- x^{2} + 6 x - 5$
28042	Split Using Partial Fraction Decomposition	(2x+106)/((x-3)^2(x+4))	$\frac{2 x + 106}{{(x - 3)}^{2} (x + 4)}$
28043	Graph	y=2(0.5)^x	$y = 2 {(0.5)}^{x}$
28044	Simplify	(5x)/(6x+3)	$\frac{5 x}{6 x + 3}$
28045	Simplify	(x^3-125)/(x-5)	$\frac{x^{3} - 125}{x - 5}$
28046	Split Using Partial Fraction Decomposition	1/(x(5x+2)(2x^2+1))	$\frac{1}{x (5 x + 2) (2 x^{2} + 1)}$
28047	Find the Domain and Range	f(x)=2x^2-x-1	$f (x) = 2 x^{2} - x - 1$
28048	Find the 5th Term	0.2 , 0.1 , 0.05 , 0.025	$0.2$ , $0.1$ , $0.05$ , $0.025$
28049	Find the 5th Term	12 , 2 , 1/3 , 1/18	$12$ , $2$ , $\frac{1}{3}$ , $\frac{1}{18}$
28050	Find the 5th Term	2 , 10 , 50 , 250	$2$ , $10$ , $50$ , $250$
28051	Solve by Substitution	6x+6y=-6 , 5x+y=-13	$6 x + 6 y = - 6$ , $5 x + y = - 13$
28052	Solve by Substitution	x^2+y^2=9 , x^2+(y-1)^2=4	$x^{2} + y^{2} = 9$ , $x^{2} + {(y - 1)}^{2} = 4$
28053	Solve by Substitution	2x+8y=6 , -5x-20y=-15	$2 x + 8 y = 6$ , $- 5 x - 20 y = - 15$
28054	Find the 5th Term	40 , 10 , -20 , -50	$40$ , $10$ , $- 20$ , $- 50$
28055	Find the Midpoint	(0,4) , (2,6)	$(0, 4)$ , $(2, 6)$
28056	Find the 5th Term	-81 , -54 , -36 , -24	$- 81$ , $- 54$ , $- 36$ , $- 24$
28057	Solve for x	(2-3i)+(x+yi)=6	$(2 - 3 i) + (x + y i) = 6$
28058	Graph	x>0	$x > 0$
28059	Find the Average Rate of Change	y=x-9 , (0,0) , (7,-6)	$y = x - 9$ , $(0, 0)$ , $(7, - 6)$
28060	Determine the Possible Number of Real Roots	7x^13-12x^9+16x^5-23x+42	$7 x^{13} - 12 x^{9} + 16 x^{5} - 23 x + 42$
28061	Find the Vertex	p(x)=2x^2+8x+3	$p (x) = 2 x^{2} + 8 x + 3$
28062	Find the Vertex	p(x)=2x^2+12x+3	$p (x) = 2 x^{2} + 12 x + 3$
28063	Find the Vertex	f(x)=4-(x-1)^2	$f (x) = 4 - {(x - 1)}^{2}$
28064	Solve by Addition/Elimination	-4x+9y=9 , x-3y=-6	$- 4 x + 9 y = 9$ , $x - 3 y = - 6$
28065	Find the Quadratic Equation	5 , 9	$5$ , $9$
28066	Simplify	(-9x^-1y^-9)/(-15x^5y^-3)	$\frac{- 9 x^{- 1} y^{- 9}}{- 15 x^{5} y^{- 3}}$
28067	Find the Quadratic Equation	5 , 10	$5$ , $10$
28068	Solve by Substitution	-7x-8y=9 , -4x+9y=-22	$- 7 x - 8 y = 9$ , $- 4 x + 9 y = - 22$
28069	Solve by Substitution	x+y=2 , y=x^2-7x+10	$x + y = 2$ , $y = x^{2} - 7 x + 10$
28070	Solve by Substitution	x+y=2 , x-y=4	$x + y = 2$ , $x - y = 4$
28071	Solve by Substitution	x-2y=6 , 3x-6y=18	$x - 2 y = 6$ , $3 x - 6 y = 18$
28072	Find the Center and Radius	x^2+(y-3)^2=9	$x^{2} + {(y - 3)}^{2} = 9$
28073	Find the Quadratic Equation	-3 , 2	$- 3$ , $2$
28074	Find the Center and Radius	x^2+y^2+4x-6y-3=0	$x^{2} + y^{2} + 4 x - 6 y - 3 = 0$
28075	Find the Quadratic Equation	(9,-12)	$(9, - 12)$
28076	Find the Center and Radius	x^2+y^2-2x-4y-4=0	$x^{2} + y^{2} - 2 x - 4 y - 4 = 0$
28077	Find the Quadratic Equation	(-9,4)	$(- 9, 4)$
28078	Find the Quadratic Equation	(7,-4)	$(7, - 4)$
28079	Simplify/Condense	natural log of e^3	$\ln (e^{3})$
28080	Find the Quadratic Equation	(6,24)	$(6, 24)$
28081	Simplify/Condense	log of 5+ log of 3	$\log (5) + \log (3)$
28082	Find the Quadratic Equation	(-2,-9)	$(- 2, - 9)$
28083	Simplify/Condense	log of 4+ log of 250	$\log (4) + \log (250)$
28084	Simplify/Condense	log of 125+ log of 8	$\log (125) + \log (8)$
28085	Find the Quadratic Equation	(-1,-8)	$(- 1, - 8)$
28086	Simplify/Condense	log of 0.001	$\log (0.001)$
28087	Expand the Logarithmic Expression	log base 625 of 5	$\log_{625} (5)$
28088	Find the Range	(x+6)^2+(y-3)^2=9	${(x + 6)}^{2} + {(y - 3)}^{2} = 9$
28089	Find the Range	(x+1)^2+(y-4)^2=25	${(x + 1)}^{2} + {(y - 4)}^{2} = 25$
28090	Expand the Logarithmic Expression	log base b of x^2y	$\log_{b} (x^{2} y)$
28091	Simplify/Condense	log base 3 of 6+ log base 3 of 4.5	$\log_{3} (6) + \log_{3} (4.5)$
28092	Simplify/Condense	log base 27 of 3	$\log_{27} (3)$
28093	Find the Range	y=4(2^x)	$y = 4 (2^{x})$
28094	Find the Quadrant	(0,-5)	$(0, - 5)$
28095	Find the Quadrant	(1,4)	$(1, 4)$
28096	Find the Slope	(8,3) , (9,7)	$(8, 3)$ , $(9, 7)$
28097	Evaluate	log of 7*49	$\log (7) \cdot 49$
28098	Solve by Graphing	-2x+y=5 , 5y=7x+4	$- 2 x + y = 5$ , $5 y = 7 x + 4$
28099	Convert to a Simplified Fraction	0.825	$0.825$
28100	Solve by Graphing	2x+y=-7 , -6y=12x+42	$2 x + y = - 7$ , $- 6 y = 12 x + 42$