Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14301	Simplify	3x^2+2y^3-5x^2+7y^3+10x^2	$3 x^{2} + 2 y^{3} - 5 x^{2} + 7 y^{3} + 10 x^{2}$
14302	Solve for x	1-(2x)/(x-3)=(x+3)/(x^2-5x+6)	$1 - \frac{2 x}{x - 3} = \frac{x + 3}{x^{2} - 5 x + 6}$
14303	Write in Exponential Form	1/(( cube root of 5)^6)	$\frac{1}{{(\sqrt[3]{5})}^{6}}$
14304	Find the Derivative - d/dt	10-1/5(t-6)^2	$10 - \frac{1}{5} {(t - 6)}^{2}$
14305	Simplify	(3)^10(3)^-9	${(3)}^{10} {(3)}^{- 9}$
14306	Evaluate the Integral	integral of ((2x^3+5x^2-2x)/x) with respect to x	$\int (\frac{2 x^{3} + 5 x^{2} - 2 x}{x}) d x$
14307	Solve for x in Degrees	square root of 2cos(x)-1=0	$\sqrt{2} \cos (x) - 1 = 0$
14308	Solve for r	A(r)=2pir^2+12pir	$A (r) = 2 π r^{2} + 12 π r$
14309	Simplify the Radical Expression	( square root of 5+ square root of 2)^2	${(\sqrt{5} + \sqrt{2})}^{2}$
14310	Solve the System of Equations	-5x+2y-6z=-32 9x-4y=24 7y=21	$- 5 x + 2 y - 6 z = - 32$ $9 x - 4 y = 24$ $7 y = 21$
14311	Solve for n	4(8n+3)-5=2(6n+8)+1	$4 (8 n + 3) - 5 = 2 (6 n + 8) + 1$
14312	Find the Derivative Using Chain Rule - d/dx	y=((3x-1)/(x^2+3))^2	$y = {(\frac{3 x - 1}{x^{2} + 3})}^{2}$
14313	Find Amplitude, Period, and Phase Shift	f(x)=5+3sin(x-pi/4)	$f (x) = 5 + 3 \sin (x - \frac{π}{4})$
14314	Find the Inflection Points	f(x)=-1/6x^4+x^3+18x^2	$f (x) = - \frac{1}{6} x^{4} + x^{3} + 18 x^{2}$
14315	Solve for x	3/x=3+5/(x-8)	$\frac{3}{x} = 3 + \frac{5}{x - 8}$
14316	Simplify	square root of 80x^3yz^5	$\sqrt{80 x^{3} y z^{5}}$
14317	Simplify	(r^3t^-1x^-5)/(tx^5)	$\frac{r^{3} t^{- 1} x^{- 5}}{t x^{5}}$
14318	Evaluate	cos(-(5pi)/2)	$\cos (- \frac{5 π}{2})$
14319	Solve the Inequality for x	-8<2x+5<7	$- 8 < 2 x + 5 < 7$
14320	Find the Center and Radius	3x^2+3y^2-6y+12x=24	$3 x^{2} + 3 y^{2} - 6 y + 12 x = 24$
14321	Simplify	(a/b)^-1+(b/a)^-1	${(\frac{a}{b})}^{- 1} + {(\frac{b}{a})}^{- 1}$
14322	Divide	(z^4-3z^3+2z^2-4z+4)(z-1)^-1	$(z^{4} - 3 z^{3} + 2 z^{2} - 4 z + 4) {(z - 1)}^{- 1}$
14323	Factor	x^4+2x^3+2x^2-2x-3	$x^{4} + 2 x^{3} + 2 x^{2} - 2 x - 3$
14324	Find the Integral	e^(x+1)	$e^{x + 1}$
14325	Simplify	2/(3x^3)*10/(3x)	$\frac{2}{3 x^{3}} \cdot \frac{10}{3 x}$
14326	Evaluate Using the Given Value	(3pi)/4 , r=10mm	$\frac{3 π}{4}$ , $r = 10 mm$
14327	Solve for y	13 = square root of y	$13 = \sqrt{y}$
14328	Graph	f(x)=-5x^3+x-8	$f (x) = - 5 x^{3} + x - 8$
14329	Find dy/dx	e^(xy)+ natural log of xy=3	$e^{x y} + \ln (x y) = 3$
14330	Evaluate	square root of (pi- square root of 17)^2	$\sqrt{{(π - \sqrt{17})}^{2}}$
14331	Simplify	((16x^2-8x+1)/(x^3-7x^2+12x))÷((20x^2-5x)/(15x^3))	$\frac{16 x^{2} - 8 x + 1}{x^{3} - 7 x^{2} + 12 x} \div \frac{20 x^{2} - 5 x}{15 x^{3}}$
14332	Find the Exact Value	(0.1)^-2	${(0.1)}^{- 2}$
14333	Simplify	(3y)/(13-9y)-(6y-6)/(13-9y)	$\frac{3 y}{13 - 9 y} - \frac{6 y - 6}{13 - 9 y}$
14334	Solve for x	8-5/x=2+3/x	$8 - \frac{5}{x} = 2 + \frac{3}{x}$
14335	Simplify	square root of 3r* square root of 12r^3	$\sqrt{3 r} \cdot \sqrt{12 r^{3}}$
14336	Graph	f(x)=1/4*2^x-7	$f (x) = \frac{1}{4} \cdot 2^{x} - 7$
14337	Determine if (2,3) is a Solution	x+y<7 , (2,3)	$x + y < 7$ , $(2, 3)$
14338	Simplify	-2/3 square root of -9	$- \frac{2}{3} \sqrt{- 9}$
14339	Determine if a Polynomial	pi	$π$
14340	Simplify	(x^2+2x+4)÷(x^3-8)	$(x^{2} + 2 x + 4) \div (x^{3} - 8)$
14341	Solve the System of Equations	y=2x^2-20x+13 2x+y=13	$y = 2 x^{2} - 20 x + 13$ $2 x + y = 13$
14342	Find the Derivative - d/dx	y=arccos( square root of 1-x)	$y = \arccos (\sqrt{1 - x})$
14343	Simplify the Radical Expression	( square root of 3)/( cube root of 3)	$\frac{\sqrt{3}}{\sqrt[3]{3}}$
14344	Solve the Rational Equation for x	17-2 square root of 3x+10=1	$17 - 2 \sqrt{3 x + 10} = 1$
14345	Simplify	-8i^21-9i^42+i^83+2i^62	$- 8 i^{21} - 9 i^{42} + i^{83} + 2 i^{62}$
14346	Find the Domain and Range	y = cube root of (3x)/(4pi)	$y = \sqrt[3]{\frac{3 x}{4 π}}$
14347	Simplify	(3+i)(i^2+8i-2)	$(3 + i) (i^{2} + 8 i - 2)$
14348	Identify the Sequence	2 , 6 , 18 , 54 ; dots	$2$ , $6$ , $18$ , $54$ ; dots
14349	Solve the System of Inequalities	y<=-5/2x-2 y<-1/2x+2	$y \leq - \frac{5}{2} x - 2$ $y < - \frac{1}{2} x + 2$
14350	Solve the Inequality for n	n/3+2>0	$\frac{n}{3} + 2 > 0$
14351	Simplify	(9- square root of 8)(9+ square root of 8)	$(9 - \sqrt{8}) (9 + \sqrt{8})$
14352	Simplify	4x+1-3x+7+2x	$4 x + 1 - 3 x + 7 + 2 x$
14353	Factor	50u^2vw-162v^3w	$50 u^{2} v w - 162 v^{3} w$
14354	Simplify the Radical Expression	2^(1/3)*2^(1/3)	$2^{\frac{1}{3}} \cdot 2^{\frac{1}{3}}$
14355	Find the Complex Conjugate	1/4-7/4i	$\frac{1}{4} - \frac{7}{4} i$
14356	Solve for x	12=-6 square root of x+4	$12 = - 6 \sqrt{x + 4}$
14357	Simplify	((2x)/(x^2-4))/(3/(x^2-4x+4))	$\frac{\frac{2 x}{x^{2} - 4}}{\frac{3}{x^{2} - 4 x + 4}}$
14358	Simplify	(1-cos(x))(1-cos(x))	$(1 - \cos (x)) (1 - \cos (x))$
14359	Solve the Rational Equation for x	square root of x^2-5=x-2	$\sqrt{x^{2} - 5} = x - 2$
14360	Solve for θ	csc(theta)=2/( square root of 3)	$\csc (θ) = \frac{2}{\sqrt{3}}$
14361	Solve for y	y-x=11 x=17	$y - x = 11$ $x = 17$
14362	Solve for x	\|x+1\|=\|-x-9\|	$\| x + 1 \| = \| - x - 9 \|$
14363	Solve for x	square root of x=1/2x	$\sqrt{x} = \frac{1}{2} x$
14364	Multiply	3 cube root of 5y^3*2 cube root of 50y^4	$3 \sqrt[3]{5 y^{3}} \cdot 2 \sqrt[3]{50 y^{4}}$
14365	Solve for x	log of x+ log of 3=2 log of 4- log of 2	$\log (x) + \log (3) = 2 \log (4) - \log (2)$
14366	Find the Concavity	-1/6x^6+2x^5-5x^4	$- \frac{1}{6} x^{6} + 2 x^{5} - 5 x^{4}$
14367	Simplify the Radical Expression	cube root of (y^3+5)^18	$\sqrt[3]{{(y^{3} + 5)}^{18}}$
14368	Solve for x	square root of x+1 = square root of 6x-6	$\sqrt{x} + 1 = \sqrt{6 x - 6}$
14369	Graph	3/5z>3/4	$\frac{3}{5} z > \frac{3}{4}$
14370	Graph	2y+4>2(3+y)	$2 y + 4 > 2 (3 + y)$
14371	Solve for x	Solve the equation, 1.2x=8.4	Solve the equation, $1.2 x = 8.4$
14372	Combine Like Terms	9(m+8)+11(3m+4)	$9 (m + 8) + 11 (3 m + 4)$
14373	Solve for x	-7 fourth root of x+1=14	$- 7 \sqrt[4]{x + 1} = 14$
14374	Solve the System of Equations	y=-4x y=x+5	$y = - 4 x$ $y = x + 5$
14375	Convert to a Percentage	20 is what percent of 52 ?	$20$ is what percent of $52$ ?
14376	Solve the Inequality for x	x/5>-3/10	$\frac{x}{5} > - \frac{3}{10}$
14377	Simplify	csc(-x)cos(pi/2-x)	$\csc (- x) \cos (\frac{π}{2} - x)$
14378	Find the Exact Value	1/2(6e-3f-3/4)	$\frac{1}{2} (6 e - 3 f - \frac{3}{4})$
14379	Simplify	-2/(6- square root of 6)	$\frac{- 2}{6 - \sqrt{6}}$
14380	Write in Standard Form	x^3-11x^2	$x^{3} - 11 x^{2}$
14381	Evaluate	2(2a-5)-(a-3)	$2 (2 a - 5) - (a - 3)$
14382	Convert to Logarithmic Form	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
14383	Evaluate	-1/7 square root of 147	$- \frac{1}{7} \sqrt{147}$
14384	Solve for v	v^2=-18v	$v^{2} = - 18 v$
14385	Solve for w	6480=5w^4	$6480 = 5 w^{4}$
14386	Evaluate	3(12-5)+2*3	$3 (12 - 5) + 2 \cdot 3$
14387	Solve the Inequality for x	7/3-1/2x>=7/6+x	$\frac{7}{3} - \frac{1}{2} x \geq \frac{7}{6} + x$
14388	Simplify the Radical Expression	6 square root of 45y^2-4 square root of 20y^2	$6 \sqrt{45 y^{2}} - 4 \sqrt{20 y^{2}}$
14389	Simplify	-10 cube root of 2(-4)	$- 10 \sqrt[3]{2 (- 4)}$
14390	Find the Asymptotes	f(x)=cot(1/2x-pi)	$f (x) = \cot (\frac{1}{2} x - π)$
14391	Integrate Using u-Substitution	integral of cos(3x) with respect to x	$\int \cos (3 x) d x$
14392	Simplify	fourth root of 3x^2* fourth root of 27x^3	$\sqrt[4]{3 x^{2}} \cdot \sqrt[4]{27 x^{3}}$
14393	Find dy/dx	-5+x^2+y^3-y=0	$- 5 + x^{2} + y^{3} - y = 0$
14394	Evaluate	1/2+8/(1/2-1)	$\frac{1}{2} + \frac{8}{\frac{1}{2} - 1}$
14395	Evaluate the Integral	integral from negative infinity to 5 of 1/(x^4) with respect to x	$\int_{- \infty}^{5} \frac{1}{x^{4}} d x$
14396	Combine Like Terms	9+7y-2-5y	$9 + 7 y - 2 - 5 y$
14397	Simplify	((w^(1/6))/(w^(-2/3)))^2	${(\frac{w^{\frac{1}{6}}}{w^{- \frac{2}{3}}})}^{2}$
14398	Simplify	2^4-24÷3+1	$2^{4} - 24 \div 3 + 1$
14399	Solve for v	-4v+13v+5=6v+32	$- 4 v + 13 v + 5 = 6 v + 32$
14400	Evaluate the Integral	integral from 0 to 1 of x*7^x with respect to x	$\int_{0}^{1} x \cdot 7^{x} d x$