Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
122301	Divide Using Long Polynomial Division	(18x^4+9x^3+3x^2)/(3x^2+1)	$\frac{18 x^{4} + 9 x^{3} + 3 x^{2}}{3 x^{2} + 1}$
122302	Divide Using Long Polynomial Division	(64x^3+1)÷(4x+1)	$(64 x^{3} + 1) \div (4 x + 1)$
122303	Divide Using Long Polynomial Division	(x^4-1)/(x-1)	$\frac{x^{4} - 1}{x - 1}$
122304	Divide Using Long Polynomial Division	(3x^2-13x-10)÷(x+5)	$(3 x^{2} - 13 x - 10) \div (x + 5)$
122305	Find the Range	f(x)=-(x+3)^2+7	$f (x) = - {(x + 3)}^{2} + 7$
122306	Find the Axis of Symmetry	y=-4x^2-24x-34	$y = - 4 x^{2} - 24 x - 34$
122307	Find the Axis of Symmetry	y=3x^2-6x+12	$y = 3 x^{2} - 6 x + 12$
122308	Find the Slope and y-intercept	k(x)=4x-(1+4x)/3	$k (x) = 4 x - \frac{(1 + 4 x)}{3}$
122309	Find the Slope and y-intercept	q(x)=2x-(4+9x)/3	$q (x) = 2 x - \frac{(4 + 9 x)}{3}$
122310	Find the Slope and y-intercept	f(x)=8x+9	$f (x) = 8 x + 9$
122311	Find the Slope and y-intercept	f(x)=2/5x	$f (x) = \frac{2}{5} x$
122312	Find the Slope and y-intercept	f(x)=2/5x-6	$f (x) = \frac{2}{5} x - 6$
122313	Find the Slope and y-intercept	f(x)=3/5x-5	$f (x) = \frac{3}{5} x - 5$
122314	Find the Slope and y-intercept	f(x)=3/4x-7	$f (x) = \frac{3}{4} x - 7$
122315	Expand Using the Binomial Theorem	(n-3)^3	${(n - 3)}^{3}$
122316	Expand Using the Binomial Theorem	(2a-8)^3	${(2 a - 8)}^{3}$
122317	Expand Using the Binomial Theorem	(2a-2)^4	${(2 a - 2)}^{4}$
122318	Expand Using the Binomial Theorem	(t+u)^3	${(t + u)}^{3}$
122319	Expand Using the Binomial Theorem	(x-10z)^7	${(x - 10 z)}^{7}$
122320	Find the Slope and y-intercept	f(x)=2/3x-3	$f (x) = \frac{2}{3} x - 3$
122321	Solve the Function Operation	f(x)=6x^2+x , g(x)=x+1 , f(x)-g(x)	$f (x) = 6 x^{2} + x$ , $g (x) = x + 1$ , $f (x) - g (x)$
122322	Solve the Function Operation	f(x)=6x^3 , g(x)=3x+4 , f(x)+g(x)	$f (x) = 6 x^{3}$ , $g (x) = 3 x + 4$ , $f (x) + g (x)$
122323	Find the Equation Using Point-Slope Formula	(-4,6) , (1,1)	$(- 4, 6) (1, 1)$
122324	Find the Inverse	(2x+4)/7	$\frac{2 x + 4}{7}$
122325	Find the Inverse	-3 square root of (4x-7)/3	$- 3 \sqrt{\frac{4 x - 7}{3}}$
122326	Find the Inverse	1/2x+7	$\frac{1}{2} x + 7$
122327	Find the Inverse	16/(x^2)	$\frac{16}{x^{2}}$
122328	Find the Inverse	cube root of 4x-11	$\sqrt[3]{4 x - 11}$
122329	Find the Inverse	(x-7)/2	$\frac{x - 7}{2}$
122330	Find the Inverse	(3x+1)/7	$\frac{3 x + 1}{7}$
122331	Determine if Odd, Even, or Neither	cube root of 9x	$\sqrt[3]{9 x}$
122332	Find the Vertex Form	x^2-12x+46	$x^{2} - 12 x + 46$
122333	Find the Slope of a Perpendicular Line	y=1/7x+5	$y = \frac{1}{7} x + 5$
122334	Convert from Degrees to Radians	-720	$- 720$
122335	Find the y-intercept	7y=35	$7 y = 35$
122336	Find the Parent Function	f(x)=2(x-6)	$f (x) = 2 (x - 6)$
122337	Find the Slope of a Parallel Line	-2x+5y=7	$- 2 x + 5 y = 7$
122338	Find the Degree, Leading Term, and Leading Coefficient	1/5a^3-3/5a^2+4/5a	$\frac{1}{5} a^{3} - \frac{3}{5} a^{2} + \frac{4}{5} a$
122339	Expand the Trigonometric Expression	(3a-1)^3	${(3 a - 1)}^{3}$
122340	Expand the Trigonometric Expression	(2u-v)^6	${(2 u - v)}^{6}$
122341	Expand the Trigonometric Expression	4(4a+5)	$4 (4 a + 5)$
122342	Write with Rational (Fractional) Exponents	sixth root of 43	$\sqrt[6]{43}$
122343	Write with Rational (Fractional) Exponents	fifth root of 32x^3	$\sqrt[5]{32 x^{3}}$
122344	Write with Rational (Fractional) Exponents	fourth root of 18x^9y^2	$\sqrt[4]{18 x^{9} y^{2}}$
122345	Write with Rational (Fractional) Exponents	fourth root of x^(2/3)	$\sqrt[4]{x^{\frac{2}{3}}}$
122346	Write with Rational (Fractional) Exponents	n root of x^(n+1)	$\sqrt[n]{x^{n + 1}}$
122347	Write with Rational (Fractional) Exponents	3 square root of a	$3 \sqrt{a}$
122348	Write with Rational (Fractional) Exponents	cube root of y^22	$\sqrt[3]{y^{22}}$
122349	Write with Rational (Fractional) Exponents	(14 root of 2)/( seventh root of 2)	$\frac{\sqrt[14]{2}}{\sqrt[7]{2}}$
122350	Find the Behavior (Leading Coefficient Test)	f(x)=-x^8+x^6	$f (x) = - x^{8} + x^{6}$
122351	Rationalize the Denominator	5/( square root of 18)	$\frac{5}{\sqrt{18}}$
122352	Rationalize the Denominator	( square root of 2)/( square root of 5w)	$\frac{\sqrt{2}}{\sqrt{5 w}}$
122353	Rationalize the Denominator	( cube root of 5)/( cube root of x^4)	$\frac{\sqrt[3]{5}}{\sqrt[3]{x^{4}}}$
122354	Rationalize the Denominator	y/( square root of 3+ square root of y)	$\frac{y}{\sqrt{3} + \sqrt{y}}$
122355	Rationalize the Denominator	(2- square root of 5)/(2+ square root of 5)	$\frac{2 - \sqrt{5}}{2 + \sqrt{5}}$
122356	Rationalize the Denominator	3/( cube root of 4)	$\frac{3}{\sqrt[3]{4}}$
122357	Rationalize the Denominator	4/(4- square root of 5)	$\frac{4}{4 - \sqrt{5}}$
122358	Rationalize the Denominator	-3/(3 square root of 5-4)	$\frac{- 3}{3 \sqrt{5} - 4}$
122359	Rationalize the Denominator	3/( square root of 13)	$\frac{3}{\sqrt{13}}$
122360	Find the Symmetry	x^2+y-81=0	$x^{2} + y - 81 = 0$
122361	Find the Symmetry	x=-\|y\|-4	$x = - \| y \| - 4$
122362	Find the Remainder	(x^4-3x^3+2x-5)÷(x+2)	$(x^{4} - 3 x^{3} + 2 x - 5) \div (x + 2)$
122363	Find the Remainder	(x^3-3x^2-4)÷(x+2)	$(x^{3} - 3 x^{2} - 4) \div (x + 2)$
122364	Find the Vertex Form	f(x)=x^2+8x-21	$f (x) = x^{2} + 8 x - 21$
122365	Find the Vertex Form	h(x)=-3x^2-6x+5	$h (x) = - 3 x^{2} - 6 x + 5$
122366	Find the Vertex Form	f(x)=4x^2+12x+9	$f (x) = 4 x^{2} + 12 x + 9$
122367	Find the Prime Factorization	328	$328$
122368	Find the Factors Using the Factor Theorem	x^3+7x^2+7x-15 ; x-1	$x^{3} + 7 x^{2} + 7 x - 15$ ; $x - 1$
122369	Find the Determinant	[[1,7],[-2,4]]	$[\begin{array}{c} 1 & 7 \\ - 2 & 4 \end{array}]$
122370	Find dy/dx	y=(2x^2-6)^-11	$y = {(2 x^{2} - 6)}^{- 11}$
122371	Find dy/dx	y=x^(8x)	$y = x^{8 x}$
122372	Find dy/dx	y^2-xy-12=0	$y^{2} - x y - 12 = 0$
122373	Find dy/dx	y=1/(x^9)	$y = \frac{1}{x^{9}}$
122374	Reorder in Descending Order	3x^3+9x^7-x+4x^12	$3 x^{3} + 9 x^{7} - x + 4 x^{12}$
122375	Find dy/dx	x natural log of y+x^3-2y=6	$x \ln (y) + x^{3} - 2 y = 6$
122376	Find dy/dx	y = cube root of 1+8x	$y = \sqrt[3]{1 + 8 x}$
122377	Find dy/dx	y=(-5x^3-5x^2+3)/(-5x^4+2)	$y = \frac{- 5 x^{3} - 5 x^{2} + 3}{- 5 x^{4} + 2}$
122378	Find dy/dx	x^2y-e^y-7=0	$x^{2} y - e^{y} - 7 = 0$
122379	Find dy/dx	z^2=x^2+y^2	$z^{2} = x^{2} + y^{2}$
122380	Find dx/dy	y=(-5x^3-5x^2+3)/(-5x^4+2)	$y = \frac{- 5 x^{3} - 5 x^{2} + 3}{- 5 x^{4} + 2}$
122381	Find dx/dy	y=cos(x)^2	$y = \cos^{2} (x)$
122382	Find dx/dy	x^2+6y^2=6	$x^{2} + 6 y^{2} = 6$
122383	Find dz/dy	z^2=x^2+y^2	$z^{2} = x^{2} + y^{2}$
122384	Find the Value Using the Unit Circle	csc(315)	$\csc (315)$
122385	Write the Fraction in Simplest Form	(2/3)÷18	$\frac{2}{3} \div 18$
122386	Write the Fraction in Simplest Form	( eighth root of 4)/( fourth root of 4)	$\frac{\sqrt[8]{4}}{\sqrt[4]{4}}$
122387	Write the Fraction in Simplest Form	3/(2- square root of 7)	$\frac{3}{2 - \sqrt{7}}$
122388	Write the Fraction in Simplest Form	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
122389	Convert to a Mixed Number	2.375	$2.375$
122390	Find the Next Term	4 , 3 , 0 , -5 , -12	$4$ , $3$ , $0$ , $- 5$ , $- 12$
122391	Find the Next Term	24 , -6 , 3/2	$24$ , $- 6$ , $\frac{3}{2}$
122392	Find the Next Term	16/9 , 8/3 , 4 , 6	$\frac{16}{9}$ , $\frac{8}{3}$ , $4$ , $6$
122393	Find the LCD	(7x)/(4x-4) , 5/(3x-3)	$\frac{7 x}{4 x - 4}$ , $\frac{5}{3 x - 3}$
122394	Find the LCD	9/(20m) , 3/(12m-20)	$\frac{9}{20 m}$ , $\frac{3}{12 m - 20}$
122395	Find the LCD	x/(x+6) , 10/(3x+18)	$\frac{x}{x + 6}$ , $\frac{10}{3 x + 18}$
122396	Find the LCD	1/(5x-25) , (3x)/(4x-20)	$\frac{1}{5 x - 25}$ , $\frac{3 x}{4 x - 20}$
122397	Find the LCD	1/(8xy) , (y^3)/(12x^2)	$\frac{1}{8 x y}$ , $\frac{y^{3}}{12 x^{2}}$
122398	Find the LCD	-3/(5z) , 15/(3z)	$\frac{- 3}{5 z}$ , $\frac{15}{3 z}$
122399	Find the Constant of Variation	7x+2y=0	$7 x + 2 y = 0$
122400	Convert to Rectangular Coordinates	(6,(5pi)/6)	$(6, \frac{5 π}{6})$