Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45201	Find the x and y Intercepts	x+4	$x + 4$
45202	Convert to Radical Form	-5x^(-1/3)	$- 5 x^{- \frac{1}{3}}$
45203	Divide Using Long Polynomial Division	(35x^5+20x^4-57x^3+x^2+18x-30)/(5x^2-6)	$\frac{35 x^{5} + 20 x^{4} - 57 x^{3} + x^{2} + 18 x - 30}{5 x^{2} - 6}$
45204	Determine if Odd, Even, or Neither	g(x)=x^2\|x\|+8	$g (x) = x^{2} \| x \| + 8$
45205	Determine if Odd, Even, or Neither	g(x)=x^4-4x	$g (x) = x^{4} - 4 x$
45206	Determine if Odd, Even, or Neither	h(x)=1/(6x^3)	$h (x) = \frac{1}{6 x^{3}}$
45207	Determine if Odd, Even, or Neither	f(x)=3x^2+5x-1	$f (x) = 3 x^{2} + 5 x - 1$
45208	Determine if Odd, Even, or Neither	f(x)=2x^(3/7)	$f (x) = 2 x^{\frac{3}{7}}$
45209	Find the Roots (Zeros)	f(x)=x^3-2x^2-16x+32	$f (x) = x^{3} - 2 x^{2} - 16 x + 32$
45210	Find the Roots (Zeros)	f(x)=x^3-2x^2-5x+10	$f (x) = x^{3} - 2 x^{2} - 5 x + 10$
45211	Find the Roots (Zeros)	f(x)=x^3+6x^2-216x-221	$f (x) = x^{3} + 6 x^{2} - 216 x - 221$
45212	Find the Roots (Zeros)	f(x)=x^3+5x^2+6x	$f (x) = x^{3} + 5 x^{2} + 6 x$
45213	Find the Roots (Zeros)	f(x)=-x^3+2x^2+19x-20	$f (x) = - x^{3} + 2 x^{2} + 19 x - 20$
45214	Find the Roots (Zeros)	f(x)=x^3+2x^2-8x	$f (x) = x^{3} + 2 x^{2} - 8 x$
45215	Find the Roots (Zeros)	f(x)=x^3+3x^2-3x-9	$f (x) = x^{3} + 3 x^{2} - 3 x - 9$
45216	Find the Roots (Zeros)	f(x)=x^4-5x^3+8x^2-20x+16	$f (x) = x^{4} - 5 x^{3} + 8 x^{2} - 20 x + 16$
45217	Find the Roots (Zeros)	f(x)=x^4-4x^3+21x^2-4x+20	$f (x) = x^{4} - 4 x^{3} + 21 x^{2} - 4 x + 20$
45218	Find the Roots (Zeros)	f(x)=x^3-x+2	$f (x) = x^{3} - x + 2$
45219	Find the Roots (Zeros)	f(x)=x^5+x^3+2x^2-12x+8	$f (x) = x^{5} + x^{3} + 2 x^{2} - 12 x + 8$
45220	Find the Roots (Zeros)	f(x)=x^5-22x^3+24x^2+45x	$f (x) = x^{5} - 22 x^{3} + 24 x^{2} + 45 x$
45221	Find the Roots (Zeros)	f(x)=x^2-16	$f (x) = x^{2} - 16$
45222	Find the Roots (Zeros)	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
45223	Find the Roots (Zeros)	f(x)=x^2+169	$f (x) = x^{2} + 169$
45224	Find the Roots (Zeros)	f(x)=3e^(2x-1)-7^(x+1)	$f (x) = 3 e^{2 x - 1} - 7^{x + 1}$
45225	Find the Roots (Zeros)	f(x)=3x^2+22x-16	$f (x) = 3 x^{2} + 22 x - 16$
45226	Find the Roots (Zeros)	f(x)=2x^3-x^2-15x+18	$f (x) = 2 x^{3} - x^{2} - 15 x + 18$
45227	Find the Roots (Zeros)	f(x)=11x^4-x^3-33x^2+575x-52	$f (x) = 11 x^{4} - x^{3} - 33 x^{2} + 575 x - 52$
45228	Find the Roots (Zeros)	f(x)=2x^2-x-1	$f (x) = 2 x^{2} - x - 1$
45229	Expand the Logarithmic Expression	log of 5x^2y	$\log (5 x^{2} y)$
45230	Expand the Logarithmic Expression	log base 5 of 15x+25y	$\log_{5} (15 x + 25 y)$
45231	Expand the Logarithmic Expression	log base 2 of 8x+40y	$\log_{2} (8 x + 40 y)$
45232	Expand the Logarithmic Expression	log base 2 of (xy^2)/64	$\log_{2} (\frac{x y^{2}}{64})$
45233	Expand the Logarithmic Expression	log of 12x^3	$\log (12 x^{3})$
45234	Expand the Logarithmic Expression	log base b of z^4y	$\log_{b} (z^{4} y)$
45235	Expand the Logarithmic Expression	log base b of sixth root of (x^5)/(y^6z^5)	$\log_{b} (\sqrt[6]{\frac{x^{5}}{y^{6} z^{5}}})$
45236	Expand the Logarithmic Expression	log base a of ninth root of xy	$\log_{a} (\sqrt[9]{x y})$
45237	Expand the Logarithmic Expression	log base 9 of (9 square root of 11)/(2m)	$\log_{9} (\frac{9 \sqrt{11}}{2 m})$
45238	Expand the Logarithmic Expression	log of square root of 7x^3	$\log (\sqrt{7 x^{3}})$
45239	Expand the Logarithmic Expression	log of zx^3	$\log (z x^{3})$
45240	Expand the Logarithmic Expression	log of (z^8)/x	$\log (\frac{z^{8}}{x})$
45241	Expand the Logarithmic Expression	log of z/(x^7)	$\log (\frac{z}{x^{7}})$
45242	Expand the Logarithmic Expression	log base 2 of square root of (3r^5)/(z^3)	$\log_{2} (\sqrt{\frac{3 r^{5}}{z^{3}}})$
45243	Expand the Logarithmic Expression	log base 2 of cube root of uvw	$\log_{2} (\sqrt[3]{u \cdot v \cdot w})$
45244	Expand the Logarithmic Expression	log base 3 of ((4x)/y)^2	$\log_{3} ({(\frac{4 x}{y})}^{2})$
45245	Expand the Logarithmic Expression	log base 2 of 8x^2+48x+72	$\log_{2} (8 x^{2} + 48 x + 72)$
45246	Expand the Logarithmic Expression	log base 2 of 3a	$\log_{2} (3 a)$
45247	Expand the Logarithmic Expression	log base 19 of 6/17	$\log_{19} (\frac{6}{17})$
45248	Expand the Logarithmic Expression	log base 4 of 3/x	$\log_{4} (\frac{3}{x})$
45249	Expand the Logarithmic Expression	log base 4 of (256/a)^3	$\log_{4} ({(\frac{256}{a})}^{3})$
45250	Expand the Logarithmic Expression	log base 3 of x^2yz	$\log_{3} (x^{2} y z)$
45251	Expand the Logarithmic Expression	log base 3 of ( cube root of 5)/(z^2y)	$\log_{3} (\frac{\sqrt[3]{5}}{z^{2} y})$
45252	Expand the Logarithmic Expression	log base 5 of ( square root of x+2)/(y^3(z-1)^4)	$\log_{5} (\frac{\sqrt{x + 2}}{y^{3} {(z - 1)}^{4}})$
45253	Expand the Logarithmic Expression	log base 6 of z^9	$\log_{6} (z^{9})$
45254	Expand the Logarithmic Expression	log base 6 of square root of abc	$\log_{6} (\sqrt{a \cdot b \cdot c})$
45255	Expand the Logarithmic Expression	log base 5 of 7^6*8^3	$\log_{5} (7^{6} \cdot 8^{3})$
45256	Expand the Logarithmic Expression	natural log of (e^3)/8	$\ln (\frac{e^{3}}{8})$
45257	Expand the Logarithmic Expression	natural log of ( fourth root of xy)/(t^(4/3))	$\ln (\frac{\sqrt[4]{x y}}{t^{\frac{4}{3}}})$
45258	Expand the Logarithmic Expression	natural log of ( square root of x^2-a^2* square root of y^2-b^2)/(e^(3/2))	$\ln (\frac{\sqrt{x^{2} - a^{2}} \cdot \sqrt{y^{2} - b^{2}}}{e^{\frac{3}{2}}})$
45259	Expand the Logarithmic Expression	natural log of ( cube root of xz^2)/( square root of y)	$\ln (\frac{\sqrt[3]{x z^{2}}}{\sqrt{y}})$
45260	Expand the Logarithmic Expression	natural log of 2/(5x^5y)	$\ln (\frac{2}{5 x^{5} y})$
45261	Expand the Logarithmic Expression	natural log of x ninth root of y/z	$\ln (x \sqrt[9]{\frac{y}{z}})$
45262	Expand the Logarithmic Expression	natural log of square root of 8t	$\ln (\sqrt{8 t})$
45263	Expand the Logarithmic Expression	log of (7x^3)/(yz^2)	$\log (\frac{7 x^{3}}{y z^{2}})$
45264	Expand the Logarithmic Expression	log of AB	$\log (A B)$
45265	Expand the Logarithmic Expression	log of ( square root of x)/4	$\log (\frac{\sqrt{x}}{4})$
45266	Expand the Logarithmic Expression	log of (y^5)/z	$\log (\frac{y^{5}}{z})$
45267	Expand the Logarithmic Expression	log of (x^9)/z	$\log (\frac{x^{9}}{z})$
45268	Expand the Logarithmic Expression	natural log of square root of x^3y	$\ln (\sqrt{x^{3} y})$
45269	Expand the Logarithmic Expression	log of (1/9)/x	$\log (\frac{\frac{1}{9}}{x})$
45270	Find the Degree	theta=pi/4	$θ = \frac{π}{4}$
45271	Find the x and y Intercepts	f(x)=(2x)/(x-5)	$f (x) = \frac{2 x}{x - 5}$
45272	Find the x and y Intercepts	f(x)=(x+2)(x-7)	$f (x) = (x + 2) (x - 7)$
45273	Find the x and y Intercepts	f(x) = log base b of x	$f (x) = \log_{b} (x)$
45274	Find the x and y Intercepts	f(x)=5sin(x)	$f (x) = 5 \sin (x)$
45275	Find the x and y Intercepts	f(x)=2x^2+5x-3	$f (x) = 2 x^{2} + 5 x - 3$
45276	Find the x and y Intercepts	f(x)=2x^3-13x^2+22x-8	$f (x) = 2 x^{3} - 13 x^{2} + 22 x - 8$
45277	Find the Value Using the Unit Circle	pi/8	$\frac{π}{8}$
45278	Find the Value Using the Unit Circle	cos(40 degrees )	$\cos (40 °)$
45279	Find the x and y Intercepts	H(x)=(3x-21)/(49-x^2)	$H (x) = \frac{3 x - 21}{49 - x^{2}}$
45280	Find the x and y Intercepts	f(x)=x^3+4x^2-9x-36	$f (x) = x^{3} + 4 x^{2} - 9 x - 36$
45281	Find the Vertex	y=-2x^2+8x+9	$y = - 2 x^{2} + 8 x + 9$
45282	Find the Vertex	y=2x^2-12x-8	$y = 2 x^{2} - 12 x - 8$
45283	Find the Vertex	y=x^2+10x+33	$y = x^{2} + 10 x + 33$
45284	Find the Vertex	y=-x^2-8x-12	$y = - x^{2} - 8 x - 12$
45285	Find the Vertex	y-11=-(x-5)^2	$y - 11 = - {(x - 5)}^{2}$
45286	Find the Vertex	y^2=-13x	$y^{2} = - 13 x$
45287	Find the Vertex	x=8y^2	$x = 8 y^{2}$
45288	Find the Vertex	x=(y-2)^2-8	$x = {(y - 2)}^{2} - 8$
45289	Find the Vertex	x=10y^2	$x = 10 y^{2}$
45290	Find the Vertex	y=-1/2x^2+3x-5/2	$y = - \frac{1}{2} x^{2} + 3 x - \frac{5}{2}$
45291	Find the Vertex	y^2-4y+6x-8=0	$y^{2} - 4 y + 6 x - 8 = 0$
45292	Find the Vertex	y^2=36x	$y^{2} = 36 x$
45293	Find the Vertex	4y^2+4y-16x+13=0	$4 y^{2} + 4 y - 16 x + 13 = 0$
45294	Find the Vertex	5x^2=100y	$5 x^{2} = 100 y$
45295	Find the Vertex	x^2-2x+3y-8=0	$x^{2} - 2 x + 3 y - 8 = 0$
45296	Find the Vertex	(x-e)^2=4e(y-e)	${(x - e)}^{2} = 4 e (y - e)$
45297	Find the Vertex	(y-1)^2=4(x+2)	${(y - 1)}^{2} = 4 (x + 2)$
45298	Find the Vertex	(y-2)^2=-16(x-3)	${(y - 2)}^{2} = - 16 (x - 3)$
45299	Find the Vertex	(y-2)^2=4(x-5)	${(y - 2)}^{2} = 4 (x - 5)$
45300	Find the Vertex	(x-4)^2=24(y+2)	${(x - 4)}^{2} = 24 (y + 2)$