Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42301	Simplify	x^3 square root of y^4	$x^{3} \sqrt{y^{4}}$
42302	Solve for x	5x-(7x-4)-2=5-(3x+2)	$5 x - (7 x - 4) - 2 = 5 - (3 x + 2)$
42303	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2+30x+8 is divided by 3x+1	Use the long division method to find the result when $3 x^{3} + 19 x^{2} + 30 x + 8$ is divided by $3 x + 1$
42304	Graph	f(x)=\|x\| g(x)=\|x\|+5	$f (x) = \| x \|$ $g (x) = \| x \| + 5$
42305	Solve for a	ac+2bc-6ab-3a^2=0	$a c + 2 b c - 6 a b - 3 a^{2} = 0$
42306	Evaluate	( fourth root of x)^-1	${(\sqrt[4]{x})}^{- 1}$
42307	Solve for x	1/3(13^(6x+5))=14	$\frac{1}{3} (13^{6 x + 5}) = 14$
42308	Verify the Identity	1/(cos(t))-cos(t)tan(t)^2=cos(t)	$\frac{1}{\cos (t)} - \cos (t) \tan^{2} (t) = \cos (t)$
42309	Solve the Absolute Value Inequality for y	\|y-20\|<4	$\| y - 20 \| < 4$
42310	Expand Using the Binomial Theorem	(2xy^3+y)^7	${(2 x y^{3} + y)}^{7}$
42311	Find the Antiderivative	4/( square root of x)+3/x-2e^(-x)	$\frac{4}{\sqrt{x}} + \frac{3}{x} - 2 e^{- x}$
42312	Divide Using Long Polynomial Division	2x^3+15x^2-16x+4 divided by 2x-1	$2 x^{3} + 15 x^{2} - 16 x + 4$ divided by $2 x - 1$
42313	Evaluate the Integral	integral of (-5x^-2+x) with respect to x	$\int (- 5 x^{- 2} + x) d x$
42314	Simplify the Radical Expression	(x^3)^2	${(x^{3})}^{2}$
42315	Find the Product	(x+ square root of 5)(x+ square root of 5)	$(x + \sqrt{5}) (x + \sqrt{5})$
42316	Multiply	[[-3],[0],[2],[-1]][[1,4,1,-4,0]]	$[\begin{array}{c} - 3 \\ 0 \\ 2 \\ - 1 \end{array}] [\begin{array}{c} 1 & 4 & 1 & - 4 & 0 \end{array}]$
42317	Graph	2/3y=-1/2x	$\frac{2}{3} y = - \frac{1}{2} x$
42318	Rationalize the Denominator	( square root of 9)/( square root of 8)	$\frac{\sqrt{9}}{\sqrt{8}}$
42319	Divide Using Long Polynomial Division	9x^3-12x^2-18x-9 divided by 3x-7	$9 x^{3} - 12 x^{2} - 18 x - 9$ divided by $3 x - 7$
42320	Solve for x	1-x/6=x/2-3	$1 - \frac{x}{6} = \frac{x}{2} - 3$
42321	Write the Fraction in Simplest Form	3/26*8	$\frac{3}{26} \cdot 8$
42322	Solve the Inequality for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$ ?
42323	Simplify	( square root of 40x^4)/( cube root of -x^3)	$\frac{\sqrt{40 x^{4}}}{\sqrt[3]{- x^{3}}}$
42324	Simplify the Radical Expression	( fourth root of 16x^16y^24)/( fourth root of x^2y^4)	$\frac{\sqrt[4]{16 x^{16} y^{24}}}{\sqrt[4]{x^{2} y^{4}}}$
42325	Graph	x>=y^2	$x \geq y^{2}$
42326	Solve for x	x^( log base 2 of x)=4x	$x^{\log_{2} (x)} = 4 x$
42327	Solve the System of Equations	-x-3y+3z=-5 x-5y-z=7 x-7y+z=-3	$- x - 3 y + 3 z = - 5$ $x - 5 y - z = 7$ $x - 7 y + z = - 3$
42328	Solve the Inequality for v	3v-8>22	$3 v - 8 > 22$
42329	Find the Domain and Range	y=1/2csc(x)	$y = \frac{1}{2} \csc (x)$
42330	Evaluate	-1/2(8+6)	$- \frac{1}{2} (8 + 6)$
42331	Find the Domain	y=4/( square root of 4-8x-5x^2)	$y = \frac{4}{\sqrt{4 - 8 x - 5 x^{2}}}$
42332	Solve for x	square root of 5+ square root of x=4	$\sqrt{5 + \sqrt{x}} = 4$
42333	Simplify	(-4x^2+16)-(-4x^2+16)	$(- 4 x^{2} + 16) - (- 4 x^{2} + 16)$
42334	Solve the Function Operation	If g(x)=x^2+6 and f(x)=2x-4 ; find g(f(x))	If $g (x) = x^{2} + 6$ and $f (x) = 2 x - 4$ ; find $g (f (x))$
42335	Simplify	((x^2+2)^3(4x)-x^2*3(x^2+2)^2(4x))/(((x^2+2)^3)^2)	$\frac{{(x^{2} + 2)}^{3} (4 x) - x^{2} \cdot 3 {(x^{2} + 2)}^{2} (4 x)}{{({(x^{2} + 2)}^{3})}^{2}}$
42336	Evaluate	3^(3x+6)=27^(x+2)	$3^{3 x + 6} = 27^{x + 2}$
42337	Solve for g	t=(v+k)/g	$t = \frac{v + k}{g}$
42338	Simplify	(a^2+b^2)(c^2+d^2)	$(a^{2} + b^{2}) (c^{2} + d^{2})$
42339	Simplify	xy*2x^5y^3	$x y \cdot 2 x^{5} y^{3}$
42340	Evaluate the Function	P(x)=7x^3+6x^4-8x^6+6x+11 at x=0	$P (x) = 7 x^{3} + 6 x^{4} - 8 x^{6} + 6 x + 11$ at $x = 0$
42341	Evaluate	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
42342	Evaluate	2pi-0	$2 π - 0$
42343	Simplify	square root of (x-1)^4	$\sqrt{{(x - 1)}^{4}}$
42344	Find the Derivative - d/dθ	y=cos(theta)cot(theta)	$y = \cos (θ) \cot (θ)$
42345	Add	square root of -16-2 square root of -4	$\sqrt{- 16} - 2 \sqrt{- 4}$
42346	Solve for z	\|3z-9\|<=3	$\| 3 z - 9 \| \leq 3$
42347	Write the Fraction in Simplest Form	17/15*2/11	$\frac{17}{15} \cdot \frac{2}{11}$
42348	Solve for b	3 3/4b=-2 1/2	$3 \frac{3}{4} b = - 2 \frac{1}{2}$
42349	Solve for A	2cos(A)^2-cos(A)-1=0	$2 \cos^{2} (A) - \cos (A) - 1 = 0$
42350	Simplify	cos(150 degrees )	$\cos (150 °)$
42351	Simplify	((e^x+e^(-x))/2)^2	${(\frac{e^{x} + e^{- x}}{2})}^{2}$
42352	Find the Antiderivative	( square root of x)^2	${(\sqrt{x})}^{2}$
42353	Graph	f(x)=x(x-2)^2(x-1)(x+1)	$f (x) = x {(x - 2)}^{2} (x - 1) (x + 1)$
42354	Evaluate the Integral	integral of 1+(sin(x)-cos(x))^2 with respect to x	$\int 1 + {(\sin (x) - \cos (x))}^{2} d x$
42355	Evaluate the Integral	integral of (2x^3)/(x^2-4) with respect to x	$\int \frac{2 x^{3}}{x^{2} - 4} d x$
42356	Simplify the Radical Expression	7 square root of 4(5 square root of 3-2 square root of 3)	$7 \sqrt{4} (5 \sqrt{3} - 2 \sqrt{3})$
42357	Solve the System of Equations	-x-4y=2 and x+4y=-2	$- x - 4 y = 2$ and $x + 4 y = - 2$
42358	Simplify the Radical Expression	fourth root of 3^3* sixth root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt[6]{3^{5}}$
42359	Simplify	xy+yx	$x y + y x$
42360	Find the x and y Intercepts	f(x)=x^2(x^2+9)(2x+3)(x^2-6)	$f (x) = x^{2} (x^{2} + 9) (2 x + 3) (x^{2} - 6)$
42361	Add	(a-2)/(3a-6)+(2a)/2	$\frac{a - 2}{3 a - 6} + \frac{2 a}{2}$
42362	Simplify	3^3x*3^4	$3^{3} x \cdot 3^{4}$
42363	Solve for y	y-1/2=1/5	$y - \frac{1}{2} = \frac{1}{5}$
42364	Simplify	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$ ?
42365	Find the Distance Between Two Points	(0,0) and (4,6)	$(0, 0)$ and $(4, 6)$
42366	Solve for x	a(x+z)-yx=b	$a (x + z) - y x = b$
42367	Evaluate	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
42368	Graph	x^2+(y-(3/x)^2)*2=1	$x^{2} + (y - {(\frac{3}{x})}^{2}) \cdot 2 = 1$
42369	Simplify	( seventh root of x^2)( fifth root of x^3)	$(\sqrt[7]{x^{2}}) (\sqrt[5]{x^{3}})$
42370	Simplify the Radical Expression	fourth root of 6^5* square root of 6^3	$\sqrt[4]{6^{5}} \cdot \sqrt{6^{3}}$
42371	Simplify	(9/(4x^2))/((6x)/(16x^4))	$\frac{\frac{9}{4 x^{2}}}{\frac{6 x}{16 x^{4}}}$
42372	Write in Standard Form	4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2	$4 x^{2} y^{2} - 2 y^{4} - 8 x y^{3} + 9 x^{3} y + 6 y^{4} - 2 x y^{3} - 3 x^{4} + x^{2} y^{2}$
42373	Solve the Inequality for x	4x^2-12>=-4x-9	$4 x^{2} - 12 \geq - 4 x - 9$
42374	Write the Fraction in Simplest Form	(2^2y^-6)/(8^-1z^0x^-7)	$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$
42375	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,7) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(4, 7)$ and has a slope of $- \frac{1}{4}$ ?
42376	Evaluate	2x>-10	$2 x > - 10$
42377	Evaluate	1/2-(-8)	$\frac{1}{2} - (- 8)$
42378	Find Amplitude, Period, and Phase Shift	y=cos(pi/18-x/3)+2	$y = \cos (\frac{π}{18} - \frac{x}{3}) + 2$
42379	Simplify	(1/2)^-2+3^0	${(\frac{1}{2})}^{- 2} + 3^{0}$
42380	Evaluate the Integral	integral from 0 to cube root of pi of x^2cos(x^3) with respect to x	$\int_{0}^{\sqrt[3]{π}} x^{2} \cos (x^{3}) d x$
42381	Combine Like Terms	1/2(13x+5x-6-8x+14)	$\frac{1}{2} (13 x + 5 x - 6 - 8 x + 14)$
42382	Solve for v	-4/(2v+12)+3=-2/(v+6)	$- \frac{4}{2 v + 12} + 3 = - \frac{2}{v + 6}$
42383	Graph	1/0	$\frac{1}{0}$
42384	Factor	2x(5x-1)^(4/5)+7(5x-1)^(9/5)	$2 x {(5 x - 1)}^{\frac{4}{5}} + 7 {(5 x - 1)}^{\frac{9}{5}}$
42385	Factor	8x^4y^4-12x^3z^2	$8 x^{4} y^{4} - 12 x^{3} z^{2}$
42386	Simplify	(3 square root of 32a^2)/( square root of 8a)	$\frac{3 \sqrt{32 a^{2}}}{\sqrt{8 a}}$
42387	Subtract	0 , 1^2	$0$ , $1^{2}$
42388	Find the Antiderivative	(sin(x))/(cos(x))	$\frac{(\sin (x))}{\cos (x)}$
42389	Evaluate	((b^(3/2))/(b^(2/3)))	$(\frac{b^{\frac{3}{2}}}{b^{\frac{2}{3}}})$
42390	Evaluate	fourth root of 6^5* square root of 6^3	$\sqrt[4]{6^{5}} \cdot \sqrt{6^{3}}$
42391	Simplify	((2x)^-2y^2)/((8x)^-1yz^0)	$\frac{{(2 x)}^{- 2} y^{2}}{{(8 x)}^{- 1} y z^{0}}$
42392	Graph	y=1/2e^(x+3)-2	$y = \frac{1}{2} e^{x + 3} - 2$
42393	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3-9x^2+13x-6 is divided by 2x-3	Use the long division method to find the result when $2 x^{3} - 9 x^{2} + 13 x - 6$ is divided by $2 x - 3$
42394	Simplify	28-(8+4)*(4-2)	$28 - (8 + 4) \cdot (4 - 2)$
42395	Evaluate	(7-6)(-3)^2	$(7 - 6) {(- 3)}^{2}$
42396	Simplify	2+1/(3+1/(1+1/(1+1/2)))	$2 + \frac{1}{3 + \frac{1}{1 + \frac{1}{1 + \frac{1}{2}}}}$
42397	Simplify	(9n^3-4n^2+2n-10)+(-2n^2+n+7)	$(9 n^{3} - 4 n^{2} + 2 n - 10) + (- 2 n^{2} + n + 7)$
42398	Find the Inverse	(3x+2)/(2+x)	$\frac{3 x + 2}{2 + x}$
42399	Find the Inverse	(x-6)/(-3x)	$\frac{x - 6}{- 3 x}$
42400	Simplify	(-1/2x+7/10)-(-3/4x-1/5)	$(- \frac{1}{2} x + \frac{7}{10}) - (- \frac{3}{4} x - \frac{1}{5})$