Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
121201	Find the Perfect Square Trinomial	g^2-20g+c	$g^{2} - 20 g + c$
121202	Evaluate Using the Given Value	f(-9)=2 square root of -9	$f (- 9) = 2 \sqrt{- 9}$
121203	Evaluate Using the Given Value	cos(x) , x=7pi	$\cos (x)$ , $x = 7 π$
121204	Evaluate Using the Given Value	f(-5)=5(-5)+7	$f (- 5) = 5 (- 5) + 7$
121205	Identify the Zeros and Their Multiplicities	x^3+2x^2-36x-72	$x^{3} + 2 x^{2} - 36 x - 72$
121206	Identify the Zeros and Their Multiplicities	f(x)=6x^3-x^2-216x+36	$f (x) = 6 x^{3} - x^{2} - 216 x + 36$
121207	Identify the Zeros and Their Multiplicities	f(x)=x^3-9x+5	$f (x) = x^{3} - 9 x + 5$
121208	Identify the Zeros and Their Multiplicities	f(x)=2x(x+4)^6(3x-2)^3	$f (x) = 2 x {(x + 4)}^{6} {(3 x - 2)}^{3}$
121209	Identify the Zeros and Their Multiplicities	f(x)=-1/3x(x^2-36)^2	$f (x) = - \frac{1}{3} x {(x^{2} - 36)}^{2}$
121210	Evaluate Using Scientific Notation	0.00003/(2*10^-5)	$\frac{0.00003}{2 \cdot 10^{- 5}}$
121211	Evaluate Using Scientific Notation	(4.210^9)(1.610^-5)	$(4.2 \cdot 10^{9}) (1.6 \cdot 10^{- 5})$
121212	Evaluate Using Scientific Notation	(5.8810^12)(2.2310^2)	$(5.88 \cdot 10^{12}) (2.23 \cdot 10^{2})$
121213	Write as a Function of x	(81^x)/(9^(5x-8))=9^(f(x))	$\frac{81^{x}}{9^{5 x - 8}} = 9^{f (x)}$
121214	Write as a Function of x	x-y^4=1	$x - y^{4} = 1$
121215	Write as a Function of x	(3x-2y)/4=5	$\frac{3 x - 2 y}{4} = 5$
121216	Write as a Function of x	3x^2-5x-y=-2y	$3 x^{2} - 5 x - y = - 2 y$
121217	Write as a Function of y	x+\|y\|=0	$x + \| y \| = 0$
121218	Write as a Function of r	a=2pir^2+2pirh	$a = 2 π r^{2} + 2 π r h$
121219	Write as a Function of t	h=-16t^2+128t	$h = - 16 t^{2} + 128 t$
121220	Write as a Function of h	A=2pir^2+2pirh	$A = 2 π r^{2} + 2 π r h$
121221	Write as a Function of h	h=-16t^2+128t	$h = - 16 t^{2} + 128 t$
121222	Write as a Function of y	(cy^3)(9y^d)=18y^6	$(c y^{3}) (9 y^{d}) = 18 y^{6}$
121223	Write as a Function of y	x-y^4=1	$x - y^{4} = 1$
121224	Write as a Function of y	y+ square root of x=-6x+(x+3)^2	$y + \sqrt{x} = - 6 x + {(x + 3)}^{2}$
121225	Find the Maximum/Minimum Value	y=3(x-3)^2-3	$y = 3 {(x - 3)}^{2} - 3$
121226	Find the Maximum/Minimum Value	y=-32/((20)^2)x^2+x+5	$y = - \frac{32}{{(20)}^{2}} x^{2} + x + 5$
121227	Find the Maximum/Minimum Value	z=3x+2y	$z = 3 x + 2 y$
121228	Find the Maximum/Minimum Value	y=4x^2+40x+44	$y = 4 x^{2} + 40 x + 44$
121229	Divide Using Long Polynomial Division	(2p^2+7p-39)/(2p-7)	$\frac{(2 p^{2} + 7 p - 39)}{(2 p - 7)}$
121230	Divide Using Long Polynomial Division	(-5k^2+k^3+8k+4)÷(-1+k)	$(- 5 k^{2} + k^{3} + 8 k + 4) \div (- 1 + k)$
121231	Divide Using Long Polynomial Division	(x^2-4)/(x+4)	$\frac{(x^{2} - 4)}{(x + 4)}$
121232	Divide Using Long Polynomial Division	(15x^3+x^2-30x-2)÷(5x^2-10)	$(15 x^{3} + x^{2} - 30 x - 2) \div (5 x^{2} - 10)$
121233	Divide Using Long Polynomial Division	3x^3+5x-1÷x+1	$3 x^{3} + 5 x - 1 \div x + 1$
121234	Divide Using Long Polynomial Division	(x^2-74)/(x-8)	$\frac{(x^{2} - 74)}{(x - 8)}$
121235	Divide Using Long Polynomial Division	(5x^2-8x+2)÷(x^2-3)	$(5 x^{2} - 8 x + 2) \div (x^{2} - 3)$
121236	Divide Using Long Polynomial Division	(x^4-3x^3-7x-14)÷(x-4)	$(x^{4} - 3 x^{3} - 7 x - 14) \div (x - 4)$
121237	Find the Reference Angle	-115	$- 115$
121238	Find the Reference Angle	-10pi	$- 10 π$
121239	Find the Degree	6x^3y^2	$6 x^{3} y^{2}$
121240	Find the Degree	4xy^2z	$4 x y^{2} z$
121241	Find the Degree	-5x^4	$- 5 x^{4}$
121242	Find the Degree	-3xy^2	$- 3 x y^{2}$
121243	Divide Using Long Polynomial Division	(3x^2+7x-18)÷(x-3)	$(3 x^{2} + 7 x - 18) \div (x - 3)$
121244	Determine if Rational	4* square root of 21	$4 \cdot \sqrt{21}$
121245	Find the Degree, Leading Term, and Leading Coefficient	-1+8h^2	$- 1 + 8 h^{2}$
121246	Find the Degree, Leading Term, and Leading Coefficient	8x^5-12x^6+14x^3-9	$8 x^{5} - 12 x^{6} + 14 x^{3} - 9$
121247	Find the Degree, Leading Term, and Leading Coefficient	27+3xy^3-12x^2y^2-10y	$27 + 3 x y^{3} - 12 x^{2} y^{2} - 10 y$
121248	Find the Slope of a Parallel Line	-3x-2y=2	$- 3 x - 2 y = 2$
121249	Find the Slope of a Parallel Line	-8x-7y=9	$- 8 x - 7 y = 9$
121250	Rationalize the Denominator	( square root of 3- square root of 6)/( square root of 3+ square root of 6)	$\frac{\sqrt{3 - \sqrt{6}}}{\sqrt{3 + \sqrt{6}}}$
121251	Rationalize the Denominator	-12/( square root of 8x)	$- \frac{12}{\sqrt{8 x}}$
121252	Rationalize the Denominator	9/(2- square root of 5)	$\frac{9}{2 - \sqrt{5}}$
121253	Rationalize the Denominator	6/( square root of 30)	$\frac{6}{\sqrt{30}}$
121254	Rationalize the Denominator	( square root of x-5)/( square root of x+5)	$\frac{\sqrt{x} - 5}{\sqrt{x} + 5}$
121255	Find the Vertex Form	f(x)=4x^2-40x+107	$f (x) = 4 x^{2} - 40 x + 107$
121256	Find the Value Using the Unit Circle	cot(225)	$\cot (225)$
121257	Find the Value Using the Unit Circle	sin(-210)	$\sin (- 210)$
121258	Find the Value Using the Unit Circle	cot(315)	$\cot (315)$
121259	Find dx/dy	x^3+y^3=7	$x^{3} + y^{3} = 7$
121260	Find the Value Using the Unit Circle	sec(210)	$\sec (210)$
121261	Reorder in Descending Order	3x^2y+4xy+1-5x^4y-6y	$3 x^{2} y + 4 x y + 1 - 5 x^{4} y - 6 y$
121262	Find dy/dx	x^3+y^3=7	$x^{3} + y^{3} = 7$
121263	Find dy/dx	2x^2+xy-y^2=2	$2 x^{2} + x y - y^{2} = 2$
121264	Find dy/dx	square root of x+ square root of y=1	$\sqrt{x} + \sqrt{y} = 1$
121265	Find dy/dx	y=(4x^2-14)^-12	$y = {(4 x^{2} - 14)}^{- 12}$
121266	Determine if Odd, Even, or Neither	square root of 6x^2+1	$\sqrt{6 x^{2} + 1}$
121267	Determine if Odd, Even, or Neither	7x^4-6x^3	$7 x^{4} - 6 x^{3}$
121268	Determine if Odd, Even, or Neither	x^4-2x^2+7	$x^{4} - 2 x^{2} + 7$
121269	Find the Inverse	(3x)/5+3	$\frac{3 x}{5} + 3$
121270	Find the Inverse	(x-4)/(x+4)	$\frac{x - 4}{x + 4}$
121271	Find the Parabola with Focus (6,-4) and Directrix y=-7	(6,-4) y=-7	$(6, - 4)$ $y = - 7$
121272	Find the Remainder	(2x^3+4x^2-32x-40)÷(x-4)	$(2 x^{3} + 4 x^{2} - 32 x - 40) \div (x - 4)$
121273	Find the Remainder	(3x^4+2x^3-x^2+2x-9)/(x+2)	$\frac{(3 x^{4} + 2 x^{3} - x^{2} + 2 x - 9)}{(x + 2)}$
121274	Describe the Transformation	g(x)=\|4x\|	$g (x) = \| 4 x \|$
121275	Describe the Transformation	g(x)=-(x-8)^3	$g (x) = - {(x - 8)}^{3}$
121276	Describe the Transformation	g(x)=-1/4 square root of x	$g (x) = - \frac{1}{4} \sqrt{x}$
121277	Describe the Transformation	h(x)=1/5x^3	$h (x) = \frac{1}{5} x^{3}$
121278	Find the Mode	0.3 , 0.4 , 0.6 , 0.7 , 0.7 , 1.0 , 0.3 , 0.8 , 1.2	$0.3$ , $0.4$ , $0.6$ , $0.7$ , $0.7$ , $1$ , $0.3$ , $0.8$ , $1.2$
121279	Find the Mode	0.6 , 0.7 , 0.9 , 0.8 , 0.8 , 1.3 , 0.6 , 1.1 , 1.5	$0.6$ , $0.7$ , $0.9$ , $0.8$ , $0.8$ , $1.3$ , $0.6$ , $1.1$ , $1.5$
121280	Write the Fraction in Simplest Form	((-8)^-2)/(3^-4)	$\frac{{(- 8)}^{- 2}}{3^{- 4}}$
121281	Write the Fraction in Simplest Form	(10 root of 5)/( fifth root of 5)	$\frac{\sqrt[10]{5}}{\sqrt[5]{5}}$
121282	Convert to a Mixed Number	8.006	$8.006$
121283	Write the Fraction in Simplest Form	(5/6)÷9	$\frac{5}{6} \div 9$
121284	Convert to a Mixed Number	29/10	$\frac{29}{10}$
121285	Convert to a Mixed Number	28/10	$\frac{28}{10}$
121286	Write as a Set of Linear Factors	9x^4-42x^3+70x^2-34x+5	$9 x^{4} - 42 x^{3} + 70 x^{2} - 34 x + 5$
121287	Find the LCD	x/(3x(x+3)) , 1/(x^2-9) , 4/(x(x-3))	$\frac{x}{3 x (x + 3)}$ , $\frac{1}{x^{2} - 9}$ , $\frac{4}{x (x - 3)}$
121288	Convert from Degrees to Radians	-820	$- 820$
121289	Find the Second Derivative	y=1/(x^11)	$y = \frac{1}{x^{11}}$
121290	Find the Third Derivative	y=1/(x^9)	$y = \frac{1}{x^{9}}$
121291	Find Three Ordered Pair Solutions	2/3x+y-1=0	$\frac{2}{3} x + y - 1 = 0$
121292	Find Three Ordered Pair Solutions	g(0)=-7/8	$g (0) = - \frac{7}{8}$
121293	Find Three Ordered Pair Solutions	y=-7x-3	$y = - 7 x - 3$
121294	Find Three Ordered Pair Solutions	4x+2y=0	$4 x + 2 y = 0$
121295	Find Three Ordered Pair Solutions	-x+2y=5	$- x + 2 y = 5$
121296	Find Three Ordered Pair Solutions	2y-2x=10	$2 y - 2 x = 10$
121297	Write with Rational (Fractional) Exponents	n root of x^n	$\sqrt[n]{x^{n}}$
121298	Find the Focus	y^2=-28x	$y^{2} = - 28 x$
121299	Expand the Trigonometric Expression	(3+h)^3	${(3 + h)}^{3}$
121300	Expand the Trigonometric Expression	x(5x-1)	$x (5 x - 1)$