Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30201	Find the Derivative - d/dx	3x^2 square root of 5x+3	$3 x^{2} \sqrt{5 x + 3}$
30202	Solve for c	4+4c^3=180	$4 + 4 c^{3} = 180$
30203	Solve for x	x^2+1^2=3^2	$x^{2} + 1^{2} = 3^{2}$
30204	Convert to Radical Form	(3xy^3)^(1/2)	${(3 x y^{3})}^{\frac{1}{2}}$
30205	Find the Holes in the Graph	g(x)=((x-2)(x+6))/((x+2)(x-2))	$g (x) = \frac{(x - 2) (x + 6)}{(x + 2) (x - 2)}$
30206	Graph	y=1/2sin(x-pi)+1	$y = \frac{1}{2} \sin (x - π) + 1$
30207	Find Amplitude, Period, and Phase Shift	y=1/2sin(x-pi)+1	$y = \frac{1}{2} \sin (x - π) + 1$
30208	Find the Cotangent Given the Point	((4 square root of 3)/7,1/7)	$(\frac{4 \sqrt{3}}{7}, \frac{1}{7})$
30209	Divide Using Long Polynomial Division	(3x^4-2x^3+4x-5)÷(x^2+4)	$(3 x^{4} - 2 x^{3} + 4 x - 5) \div (x^{2} + 4)$
30210	Find All Complex Solutions	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
30211	Simplify	(-5^6*(-5^6))/(-5^4)	$\frac{- 5^{6} \cdot (- 5^{6})}{- 5^{4}}$
30212	Solve for v	1000=v^3	$1000 = v^{3}$
30213	Solve for x	5(2x-1)^(2/3)=125	$5 {(2 x - 1)}^{\frac{2}{3}} = 125$
30214	Simplify	(t^2-36)/3+(t^2+6t)/(9t)	$\frac{t^{2} - 36}{3} + \frac{t^{2} + 6 t}{9 t}$
30215	Evaluate the Integral	integral from 0 to 1 of 2x^2cos(x) with respect to x	$\int_{0}^{1} 2 x^{2} \cos (x) d x$
30216	Solve for v	v-4(5-v)=-60	$v - 4 (5 - v) = - 60$
30217	Divide	-8÷(12/13)	$- 8 \div \frac{12}{13}$
30218	Simplify the Radical Expression	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
30219	Simplify	(1/(x-10))÷((9x)/(x^2-9x-10))	$\frac{1}{x - 10} \div \frac{9 x}{x^{2} - 9 x - 10}$
30220	Simplify	sixth root of a^5 square root of a^3	$\sqrt[6]{a^{5}} \sqrt{a^{3}}$
30221	Solve for x	-5-7x+4x=5-10-3x	$- 5 - 7 x + 4 x = 5 - 10 - 3 x$
30222	Solve for x	1/(x-4)+1/(x+2)=1/(x^2-2x-8)	$\frac{1}{x - 4} + \frac{1}{x + 2} = \frac{1}{x^{2} - 2 x - 8}$
30223	Graph	3x<y	$3 x < y$
30224	Solve the Inequality for m	(3m)/5<-3/20	$\frac{3 m}{5} < - \frac{3}{20}$
30225	Simplify	(-4)*2-32÷(12-4)	$(- 4) \cdot 2 - 32 \div (12 - 4)$
30226	Evaluate the Limit	limit as x approaches -2 of ( cube root of x-6+2)/(x^3+8)	$lim_{x \to - 2} \frac{\sqrt[3]{x - 6} + 2}{x^{3} + 8}$
30227	Divide	(2x^3+11x^2-21x)/(x^2+3x)	$\frac{2 x^{3} + 11 x^{2} - 21 x}{x^{2} + 3 x}$
30228	Simplify the Matrix	square root of x^18 where x<0	$\sqrt{x^{18}}$ where $x < 0$
30229	Find Amplitude, Period, and Phase Shift	f(x)=1-3sin(2x-9)	$f (x) = 1 - 3 \sin (2 x - 9)$
30230	Simplify	(3/(3-x)*(2x^2+18x+16)/(-x-1))÷((x^2+11x+24)/(9-x^2))	$\frac{3}{3 - x} \cdot \frac{2 x^{2} + 18 x + 16}{- x - 1} \div \frac{x^{2} + 11 x + 24}{9 - x^{2}}$
30231	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+21x^2+13x+2 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 21 x^{2} + 13 x + 2$ is divided by $3 x + 2$
30232	Evaluate from the Left	limit as x approaches 0 of \|x\|	$lim_{x \to 0} \| x \|$
30233	Write the Fraction in Simplest Form	(2/(3+x))/(4(y+1))	$\frac{\frac{2}{3 + x}}{4 (y + 1)}$
30234	Graph	\|y\|=x^2-4x+3	$\| y \| = x^{2} - 4 x + 3$
30235	Simplify the Radical Expression	square root of 80a^2b^3c^3	$\sqrt{80 a^{2} b^{3} c^{3}}$
30236	Evaluate	i^6i^19i^39	$i^{6} \cdot i^{19} \cdot i^{39}$
30237	Simplify	(r^8*r^-8)/4	$\frac{r^{8} \cdot r^{- 8}}{4}$
30238	Simplify	(2i-6)-(-3i+3)	$(2 i - 6) - (- 3 i + 3)$
30239	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-3) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 5, - 3)$ and has a slope of $- 1$ ?
30240	Graph	x<=-4y-8	$x \leq - 4 y - 8$
30241	Find the Third Derivative	x square root of x-1	$x \sqrt{x - 1}$
30242	Simplify	(x^-8y^72x^4y^8)/(6x^-3y^7x^4)	$\frac{x^{- 8} y^{7} \cdot 2 x^{4} y^{8}}{6 x^{- 3} y^{7} \cdot x^{4}}$
30243	Write the Fraction in Simplest Form	((2p^-1)^5)/(6j^-8p^-8)	$\frac{{(2 p^{- 1})}^{5}}{6 j^{- 8} p^{- 8}}$
30244	Factor	7(5x-7)^2+9(5x-7)(x+9)	$7 {(5 x - 7)}^{2} + 9 (5 x - 7) (x + 9)$
30245	Graph	y=1/2(x-2)^3	$y = \frac{1}{2} {(x - 2)}^{3}$
30246	Find Amplitude, Period, and Phase Shift	y=cos((6pix)/5+pi/3)	$y = \cos (\frac{6 π x}{5} + \frac{π}{3})$
30247	Solve for n	\|6n\|<=18	$\| 6 n \| \leq 18$
30248	Solve by Factoring	square root of e=-10	$\sqrt{e} = - 10$
30249	Evaluate the Integral	integral of square root of 7-x^2 with respect to x	$\int \sqrt{7 - x^{2}} d x$
30250	Evaluate the Integral	integral of (-5x^-3-6) with respect to x	$\int (- 5 x^{- 3} - 6) d x$
30251	Solve the System of Equations	x-3y+z=-8 x+5y+6z=-10 -x-y+2z=-2	$x - 3 y + z = - 8$ $x + 5 y + 6 z = - 10$ $- x - y + 2 z = - 2$
30252	Factor by Grouping	8a^3-64b^6	$8 a^{3} - 64 b^{6}$
30253	Solve for x	x/4=(2x+3)/15	$\frac{x}{4} = \frac{2 x + 3}{15}$
30254	Solve for x	3(2x+1)-x=5x+3	$3 (2 x + 1) - x = 5 x + 3$
30255	Solve for m	7=5-1/3m	$7 = 5 - \frac{1}{3} m$
30256	Evaluate the Integral	integral of 1/(x^2+y^2) with respect to y	$\int \frac{1}{x^{2} + y^{2}} d y$
30257	Find the Fourth Derivative	f(x)=x^5-2/(x^3)-4x+2 ?	$f (x) = x^{5} - \frac{2}{x^{3}} - 4 x + 2$ ?
30258	Find dy/dx	y=arctan(x/2)	$y = \arctan (\frac{x}{2})$
30259	Solve for x	(9-x)^(1/3)+12=15	${(9 - x)}^{\frac{1}{3}} + 12 = 15$
30260	Find the LCM	2 and 8	$2$ and $8$
30261	Evaluate	(4((3-5)^3-2(5/2)^2)+3(2/6))- square root of 4	$(4 ({(3 - 5)}^{3} - 2 {(\frac{5}{2})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
30262	Simplify the Radical Expression	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
30263	Solve for a	159=-3+2a^2	$159 = - 3 + 2 a^{2}$
30264	Solve for θ	( square root of 3tan(theta)-3)(8cos(x)+8)=0	$(\sqrt{3} \tan (θ) - 3) (8 \cos (x) + 8) = 0$
30265	Graph	f(x)=(3x^2-9x+6)/(5x-10)	$f (x) = \frac{3 x^{2} - 9 x + 6}{5 x - 10}$
30266	Find the Domain and Range	cube root of -5x	$\sqrt[3]{- 5 x}$
30267	Solve by Substitution	x-3y=7 and 3x-9y=21	$x - 3 y = 7$ and $3 x - 9 y = 21$
30268	Solve for x	5/6(x-4)=1/2(x-2)	$\frac{5}{6} (x - 4) = \frac{1}{2} (x - 2)$
30269	Evaluate the Function	f(x)=-x^3-4x-2 at x=-1	$f (x) = - x^{3} - 4 x - 2$ at $x = - 1$
30270	Solve for x	(x+3)/10+(x+4)/7=(2x+1)/70	$\frac{x + 3}{10} + \frac{x + 4}{7} = \frac{2 x + 1}{70}$
30271	Find the Maximum/Minimum Value	y=-2-4sin(pi/2(x-1/3))	$y = - 2 - 4 \sin (\frac{π}{2} (x - \frac{1}{3}))$
30272	Evaluate	8+(3^2*(25-5))÷4+3	$8 + 3^{2} \cdot (25 - 5) \div 4 + 3$
30273	Solve the Rational Equation for x	2/3 square root of x=6	$\frac{2}{3} \sqrt{x} = 6$
30274	Solve the Inequality for t	3>=t+1	$3 \geq t + 1$
30275	Solve the Function Operation	f(x)=2x^(1/5)-2 ; find f^-1(x)	$f (x) = 2 x^{\frac{1}{5}} - 2$ ; find $f^{- 1} (x)$
30276	Solve for x	10 = square root of 2x^2+3	$10 = \sqrt{2 x^{2} + 3}$
30277	Evaluate the Integral	integral from 0 to 1 of (2arctan(x))/(1+x^2) with respect to x	$\int_{0}^{1} \frac{2 \arctan (x)}{1 + x^{2}} d x$
30278	Evaluate	1/(2/pi)	$\frac{1}{\frac{2}{π}}$
30279	Solve the Function Operation	Given that f(x)=x^2+9x+18 and g(x)=x+6 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 18$ and $g (x) = x + 6$ ; find $f (x) - g (x)$ and express the result in standard form.
30280	Find the Maximum/Minimum Value	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
30281	Simplify the Radical Expression	( fourth root of x^9)/( fourth root of x^2)	$\frac{\sqrt[4]{x^{9}}}{\sqrt[4]{x^{2}}}$
30282	Solve for n	16=(2n)^(1/2)+10	$16 = {(2 n)}^{\frac{1}{2}} + 10$
30283	Graph	f(x)=((x+4)^2(x-2))/(2(x-1)^2(x-3))	$f (x) = \frac{{(x + 4)}^{2} (x - 2)}{2 {(x - 1)}^{2} (x - 3)}$
30284	Find the Product	(3d+2)(d^2-1)	$(3 d + 2) (d^{2} - 1)$
30285	Simplify the Radical Expression	square root of 75+2 square root of 12-5 square root of 3	$\sqrt{75} + 2 \sqrt{12} - 5 \sqrt{3}$
30286	Solve for x	(1/5)^x=(1/5)^(3x)	${(\frac{1}{5})}^{x} = {(\frac{1}{5})}^{3 x}$
30287	Simplify the Radical Expression	(8x^3y^9)^(-2/3)	${(8 x^{3} y^{9})}^{- \frac{2}{3}}$
30288	Simplify	(2q^2)/( square root of 18q^6)	$\frac{2 q^{2}}{\sqrt{18 q^{6}}}$
30289	Solve the Inequality for x	x(x-5)^2(x+2)^2>0	$x {(x - 5)}^{2} {(x + 2)}^{2} > 0$
30290	Divide	(x^4+0x^3-10x^2-2x+3)/(x+3)	$\frac{x^{4} + 0 x^{3} - 10 x^{2} - 2 x + 3}{x + 3}$
30291	Solve the Inequality for x	3x^2+22x+11<4	$3 x^{2} + 22 x + 11 < 4$
30292	Find the Derivative - d/dx	f(x^3)	$f (x^{3})$
30293	Find Amplitude, Period, and Phase Shift	y=2sin(4(x-1/2))+3	$y = 2 \sin (4 (x - \frac{1}{2})) + 3$
30294	Simplify the Radical Expression	- square root of 81+ square root of -9+ square root of 144+ square root of -16	$- \sqrt{81} + \sqrt{- 9} + \sqrt{144} + \sqrt{- 16}$
30295	Solve for c	E=mc^2 for c	$E = m c^{2}$ for $c$
30296	Simplify	(-5)^0*x	${(- 5)}^{0} \cdot x$
30297	Simplify	(6 square root of 6-6 square root of 2)( square root of 6+ square root of 2)	$(6 \sqrt{6} - 6 \sqrt{2}) (\sqrt{6} + \sqrt{2})$
30298	Simplify the Radical Expression	( square root of 6+ square root of 3)( square root of 6+ square root of 3)	$(\sqrt{6} + \sqrt{3}) (\sqrt{6} + \sqrt{3})$
30299	Graph	-y>=2x	$- y \geq 2 x$
30300	Verify the Identity	sin(theta)csc(theta)=cos(theta)sec(theta)	$\sin (θ) \csc (θ) = \cos (θ) \sec (θ)$