Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25201	Simplify the Radical Expression	2 square root of 3-8 square root of 6+5 square root of 3+4 square root of 6	$2 \sqrt{3} - 8 \sqrt{6} + 5 \sqrt{3} + 4 \sqrt{6}$
25202	Simplify	(6^0)/(6^4*6^6)	$\frac{6^{0}}{6^{4} \cdot 6^{6}}$
25203	Solve by Substitution	x+y=4 2x+2y=8	$x + y = 4$ $2 x + 2 y = 8$
25204	Simplify	(3 square root of 2+ square root of 5)( square root of 2-3 square root of 5r)	$(3 \sqrt{2} + \sqrt{5}) (\sqrt{2} - 3 \sqrt{5 r})$
25205	Find All Complex Solutions	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
25206	Simplify	(1/(2b))^0	${(\frac{1}{2 b})}^{0}$
25207	Simplify	( square root of 72)/( fourth root of 64)	$\frac{\sqrt{72}}{\sqrt[4]{64}}$
25208	Simplify	4^2*(cb^3)^0	$4^{2} \cdot {(c b^{3})}^{0}$
25209	Evaluate	7(-2)+3^2+(-2)^2	$7 (- 2) + 3^{2} + {(- 2)}^{2}$
25210	Find the Slope	(-7,-4) and (-11,-2)	$(- 7, - 4)$ and $(- 11, - 2)$
25211	Write the Fraction in Simplest Form	((3d^-4n^5)^-3)/(12d^3n^4)	$\frac{{(3 d^{- 4} n^{5})}^{- 3}}{12 d^{3} n^{4}}$
25212	Solve for x	2^5*2^x=256	$2^{5} \cdot 2^{x} = 256$
25213	Solve the System of Inequalities	y>=0 y<=x-5	$y \geq 0$ $y \leq x - 5$
25214	Solve the Rational Equation for x	(x+10)^5=70	${(x + 10)}^{5} = 70$
25215	Find All Complex Solutions	\|x\|=-x	$\| x \| = - x$
25216	Solve the System of Equations	y=x^2+7x-13 6=x-y	$y = x^{2} + 7 x - 13$ $6 = x - y$
25217	Evaluate	(13-5)^2-3 square root of 4*2+1	${(13 - 5)}^{2} - 3 \sqrt{4 \cdot 2 + 1}$
25218	Solve for x	1/(x+2)+1/(x-2)=4/((x+2)(x-2))	$\frac{1}{x + 2} + \frac{1}{x - 2} = \frac{4}{(x + 2) (x - 2)}$
25219	Simplify	cube root of 64- square root of -16-5 square root of -9	$\sqrt[3]{64} - \sqrt{- 16} - 5 \sqrt{- 9}$
25220	Integrate Using u-Substitution	integral of (7x+e^(4x)) with respect to x	$\int (7 x + e^{4 x}) d x$
25221	Find the Holes in the Graph	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
25222	Find the Roots (Zeros)	y=5cos(x)	$y = 5 \cos (x)$
25223	Find the LCM	10 and 12	$10$ and $12$
25224	Simplify	(x^2-7x+12)/(x^2-8x+15)2/(x^2-49)(3x^2-36x+105)/(x-4)	$\frac{x^{2} - 7 x + 12}{x^{2} - 8 x + 15} \cdot \frac{2}{x^{2} - 49} \cdot \frac{3 x^{2} - 36 x + 105}{x - 4}$
25225	Solve the Inequality for x	2^(4x+1)<=512	$2^{4 x + 1} \leq 512$
25226	Evaluate the Integral	integral of 5(tan(x)^2+tan(x)^4) with respect to x	$\int 5 (\tan^{2} (x) + \tan^{4} (x)) d x$
25227	Solve the System of Equations	1/3x+y=1 2x+6y=6	$\frac{1}{3} x + y = 1$ $2 x + 6 y = 6$
25228	Find the LCM	15 and 25	$15$ and $25$
25229	Solve for x	9/8x+7/16x=50/16	$\frac{9}{8} x + \frac{7}{16} x = \frac{50}{16}$
25230	Write in Slope-Intercept Form	x-2y>8	$x - 2 y > 8$
25231	Simplify	Simplify sin(theta)^2+sin(theta)^2*tan(theta)^2	Simplify $\sin^{2} (θ) + \sin^{2} (θ) \cdot \tan^{2} (θ)$
25232	Evaluate	cot((286pi)/45)	$\cot (\frac{286 π}{45})$
25233	Graph	y^3-xy=2	$y^{3} - x y = 2$
25234	Solve for x	arctan(x/3)+arcsec((2 square root of 3)/3)=arccos(-1)	$\arctan (\frac{x}{3}) + arcsec (\frac{2 \sqrt{3}}{3}) = \arccos (- 1)$
25235	Evaluate the Integral	integral of (tan(x))/( natural log of cos(x)) with respect to x	$\int \frac{\tan (x)}{\ln (\cos (x))} d x$
25236	Find Amplitude, Period, and Phase Shift	y=4cos((2x)/5-1)	$y = 4 \cos (\frac{2 x}{5} - 1)$
25237	Find the Derivative - d/dx	(-x)/2	$\frac{- x}{2}$
25238	Calculate the Square Root	square root of 81a^5b	$\sqrt{81 a^{5} b}$
25239	Subtract	(3x^3+3x^2+9)-(5x^3-7x^2+6x-9)	$(3 x^{3} + 3 x^{2} + 9) - (5 x^{3} - 7 x^{2} + 6 x - 9)$
25240	Find the Degree	-6q^2-10p^3q	$- 6 q^{2} - 10 p^{3} q$
25241	Solve for x	(3x+1)/(x+4)=(x-7)/(x+4)	$\frac{3 x + 1}{x + 4} = \frac{x - 7}{x + 4}$
25242	Solve the Inequality for y	193+y>=201	$193 + y \geq 201$
25243	Find the Product	square root of 3( square root of 5- square root of 3)	$\sqrt{3} (\sqrt{5} - \sqrt{3})$
25244	Write in Standard Form	(x^2-3x+4)-(3x+x^3-4)	$(x^{2} - 3 x + 4) - (3 x + x^{3} - 4)$
25245	Solve the System of Equations	x+2y+2z=4 x+4y-2z=-2 x+y+4z=2	$x + 2 y + 2 z = 4$ $x + 4 y - 2 z = - 2$ $x + y + 4 z = 2$
25246	Simplify	(x-5)/(x^2+25)-3x	$\frac{x - 5}{x^{2} + 25} - 3 x$
25247	Multiply	(x+5)/(9x+27)*(x^2-9)/(x^2+2x-15)	$\frac{x + 5}{9 x + 27} \cdot \frac{x^{2} - 9}{x^{2} + 2 x - 15}$
25248	Find the Degree, Leading Term, and Leading Coefficient	W(t)=-x(x-3)	$W (t) = - x (x - 3)$
25249	Simplify the Radical Expression	- cube root of (z^21)/(27x^3)	$- \sqrt[3]{\frac{z^{21}}{27 x^{3}}}$
25250	Evaluate	a^(2/5)*a^-3	$a^{\frac{2}{5}} \cdot a^{- 3}$
25251	Combine Like Terms	(4+2n^3)+(5n^3+2)	$(4 + 2 n^{3}) + (5 n^{3} + 2)$
25252	Simplify	5-(x+2)÷((x^2-4)/(x-3))	$5 - (x + 2) \div (\frac{x^{2} - 4}{x - 3})$
25253	Solve the System of Equations	5x-2y=3 and 4x+4y=8	$5 x - 2 y = 3$ and $4 x + 4 y = 8$
25254	Simplify	(5/4)^(1/6)	${(\frac{5}{4})}^{\frac{1}{6}}$
25255	Find the Equation Given the Roots	3i and square root of 6	$3 i$ and $\sqrt{6}$
25256	Graph	P(x)=x(x-1)^2(x+2)^3(x+3)	$P (x) = x {(x - 1)}^{2} {(x + 2)}^{3} (x + 3)$
25257	Solve the Function Operation	f(x)=x+9 if x<-5; 2 if x=-5; -x-1 if x>-5 Find f(-7)	$f (x) = {\begin{cases} x + 9 & x < - 5 \\ 2 & x = - 5 \\ - x - 1 & x > - 5 \end{cases}$ Find $f (- 7)$
25258	Simplify	5 4/7i+4 3/5i	$5 \frac{4}{7} i + 4 \frac{3}{5} i$
25259	Simplify	(x-2)(x-1)(x-1)(3x-2)	$(x - 2) (x - 1) (x - 1) (3 x - 2)$
25260	Solve the Inequality for n	-3\|n-5\|-11<-38	$- 3 \| n - 5 \| - 11 < - 38$
25261	Simplify	(m^2)^(5/6)*m^(1/3)	${(m^{2})}^{\frac{5}{6}} \cdot m^{\frac{1}{3}}$
25262	Find the Derivative - d/dx	sin(x)^2-sin(x)	$\sin^{2} (x) - \sin (x)$
25263	Find the Asymptotes	f(x)=a/(x-b)-c	$f (x) = \frac{a}{x - b} - c$
25264	Find the Domain and Range	y=3sin(pi/4x-pi/4)	$y = 3 \sin (\frac{π}{4} x - \frac{π}{4})$
25265	Solve the Function Operation	f(x)=-x-7 if x!=-2; 0 if x=-2 Find f(-2)	$f (x) = {\begin{cases} - x - 7 & x \neq - 2 \\ 0 & x = - 2 \end{cases}$ Find $f (- 2)$
25266	Solve for q	7^q=15	$7^{q} = 15$
25267	Evaluate the Summation	sum from k=2 to 5 of -4k+3k^2	$\sum_{k = 2}^{5} - 4 k + 3 k^{2}$
25268	Find the Product	(x+y^2)(x-y^2)	$(x + y^{2}) (x - y^{2})$
25269	Find the Derivative - d/dx	y=sec(x^2+2)	$y = \sec (x^{2} + 2)$
25270	Find the x and y Intercepts	f(x) = square root of -x+2	$f (x) = \sqrt{- x} + 2$
25271	Solve for y	0.5y-2 2/5=1/2y+2.4	$0.5 y - 2 \frac{2}{5} = \frac{1}{2} y + 2.4$
25272	Find the Inflection Points	-1/6x^4+x^3+18x^2	$- \frac{1}{6} x^{4} + x^{3} + 18 x^{2}$
25273	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-19x^2-12x-14 is divided by x-7	Use synthetic division to find the result when $3 x^{3} - 19 x^{2} - 12 x - 14$ is divided by $x - 7$
25274	Solve for x	8/3x+(x-6)/3=2	$\frac{8}{3} x + \frac{x - 6}{3} = 2$
25275	Find the Domain	F(x)=(9-x^2)/(x+3)	$F (x) = \frac{9 - x^{2}}{x + 3}$
25276	Multiply	x^3+2x-1*x^4-x^3+3	$x^{3} + 2 x - 1 \cdot x^{4} - x^{3} + 3$
25277	Simplify	p^2q^3(p^5q^2-pq)	$p^{2} q^{3} (p^{5} q^{2} - p q)$
25278	Add	(-87+i)+(-5+20i)	$(- 87 + i) + (- 5 + 20 i)$
25279	Graph	Graph the line with the equation y=2/3x+1	Graph the line with the equation $y = \frac{2}{3} x + 1$
25280	Simplify	square root of 5+ square root of 3-4 square root of 5- square root of 3	$\sqrt{5} + \sqrt{3} - 4 \sqrt{5} - \sqrt{3}$
25281	Divide Using Synthetic Division	(4x^3-23x-21)÷(2x+3)	$(4 x^{3} - 23 x - 21) \div (2 x + 3)$
25282	Solve for b	b^2=-3b	$b^{2} = - 3 b$
25283	Solve for x	2/3(9+x)=-5(4-x)	$\frac{2}{3} (9 + x) = - 5 (4 - x)$
25284	Solve for y	10^y=1	$10^{y} = 1$
25285	Find the Product	square root of 2( square root of 6+ square root of 7)	$\sqrt{2} (\sqrt{6} + \sqrt{7})$
25286	Solve for x	2*4^(x-3)=16	$2 \cdot 4^{x - 3} = 16$
25287	Solve the Function Operation	Given that f(x)=x^2+8x-20 and g(x)=x-2 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} + 8 x - 20$ and $g (x) = x - 2$ ; find $f (x) \div g (x)$ and express the result in standard form.
25288	Simplify the Radical Expression	(7 square root of 21)/( square root of 7)	$\frac{7 \sqrt{21}}{\sqrt{7}}$
25289	Solve for x	x^12*x^n=x^12	$x^{12} \cdot x^{n} = x^{12}$
25290	Simplify	3x square root of 54x^4y^7z^10	$3 x \sqrt{54 x^{4} y^{7} z^{10}}$
25291	Evaluate	fifth root of 3^4* fifth root of 3^6	$\sqrt[5]{3^{4}} \cdot \sqrt[5]{3^{6}}$
25292	Solve the Rational Equation for x	square root of x-5 = square root of x+4	$\sqrt{x} - 5 = \sqrt{x + 4}$
25293	Solve the Function Operation	f(x)=-(x-6)^2+7 if x!=3; 2 if x=3 Find f(3)	$f (x) = {\begin{cases} - {(x - 6)}^{2} + 7 & x \neq 3 \\ 2 & x = 3 \end{cases}$ Find $f (3)$
25294	Find the Absolute Max and Min over the Interval	f(x)=x-(x) , 0<=x<=1	$f (x) = x - (x)$ , $0 \leq x \leq 1$
25295	Solve for x	3 log of x- log of 6+ log of 2.4=9	$3 \log (x) - \log (6) + \log (2.4) = 9$
25296	Find the Exact Value	2!	$2!$
25297	Simplify	(csc(x)^2-1)(sec(x)^2-1)	$(\csc^{2} (x) - 1) (\sec^{2} (x) - 1)$
25298	Find the Degree	arccos(4/5)	$\arccos (\frac{4}{5})$
25299	Evaluate	20% of 65	$20 %$ of $65$
25300	Evaluate	square root of 6/8* square root of 6/18	$\sqrt{\frac{6}{8}} \cdot \sqrt{\frac{6}{18}}$