Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228301	Simplify the Radical Expression	( square root of 3)/(6 square root of 7)	$\frac{\sqrt{3}}{6 \sqrt{7}}$
228302	Solve for x	\|x^2-4\|=4-2x	$\| x^{2} - 4 \| = 4 - 2 x$
228303	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-6x^2-6x+20 is divided by x+2	Use the long division method to find the result when $x^{3} - 6 x^{2} - 6 x + 20$ is divided by $x + 2$
228304	Find the Product	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
228305	Evaluate	((9^3)/(6^3))^(-1/3)	${(\frac{9^{3}}{6^{3}})}^{- \frac{1}{3}}$
228306	Factor	x^4-1/4	$x^{4} - \frac{1}{4}$
228307	Simplify	limit as x approaches 0 of ( square root of x+1-1)/x	$lim_{x \to 0} \frac{\sqrt{x + 1} - 1}{x}$
228308	Solve for x	3(2x-1)+x=5x+3	$3 (2 x - 1) + x = 5 x + 3$
228309	Simplify	3e^x*2e^(4x)	$3 e^{x} \cdot 2 e^{4 x}$
228310	Simplify	f^1g^-1	$f^{1} g^{- 1}$
228311	Solve for x	10-3(2x-1)=1-6x	$10 - 3 (2 x - 1) = 1 - 6 x$
228312	Simplify	-(6^0)/7	$- \frac{6^{0}}{7}$
228313	Simplify	x^12x^32y^5	$x^{12} \cdot x^{32} \cdot y^{5}$
228314	Multiply	(3x-6)/(9x^2-49)*(3x+7)/(7x-3)	$\frac{3 x - 6}{9 x^{2} - 49} \cdot \frac{3 x + 7}{7 x - 3}$
228315	Factor	(2x^2)/(3x^2-4x)	$\frac{2 x^{2}}{3 x^{2} - 4 x}$
228316	Solve for p	ap-b=-cp+d	$a p - b = - c p + d$
228317	Solve the Inequality for x	-15+8x>8x-3x	$- 15 + 8 x > 8 x - 3 x$
228318	Solve the Absolute Value Inequality for n	7\|n\|=56	$7 \| n \| = 56$
228319	Find the Product	(3 square root of 6)(2 square root of 3)	$(3 \sqrt{6}) (2 \sqrt{3})$
228320	Solve for x	2x+0=5x-0	$2 x + 0 = 5 x - 0$
228321	Simplify	1/3(12d+e)	$\frac{1}{3} (12 d + e)$
228322	Write in Standard Form	y=6x^2-6(x-2)^2	$y = 6 x^{2} - 6 {(x - 2)}^{2}$
228323	Solve for x	x^2+1>=0	$x^{2} + 1 \geq 0$
228324	Solve for x	x+2=-3(x+1)	$x + 2 = - 3 (x + 1)$
228325	Solve for b	ab=-a	$a b = - a$
228326	Simplify	(-7x^2y+xy+3x+2)+(5x^2y-5xy-6x-7)	$(- 7 x^{2} y + x y + 3 x + 2) + (5 x^{2} y - 5 x y - 6 x - 7)$
228327	Simplify	square root of z^5 cube root of z^5	$\sqrt{z^{5}} \sqrt[3]{z^{5}}$
228328	Simplify	(20x^5+15x^2-10x^3)/(5x)	$\frac{20 x^{5} + 15 x^{2} - 10 x^{3}}{5 x}$
228329	Find the Equation Using Two Points	(-1,4) and (0,-1)	$(- 1, 4)$ and $(0, - 1)$
228330	Simplify	(3a+2b)^2-(a+3b+2c)^2	${(3 a + 2 b)}^{2} - {(a + 3 b + 2 c)}^{2}$
228331	Solve for m	m+5/6=11/12	$m + \frac{5}{6} = \frac{11}{12}$
228332	Find the Inverse	f(x)=9^(6(x+2))	$f (x) = 9^{6 (x + 2)}$
228333	Graph	f(x)=4x^2 , x<=0	$f (x) = 4 x^{2}$ , $x \leq 0$
228334	Simplify	((3x^2-192)/(64-x^2)*4/(x^2+16x+64))÷((x+10)/(x^2+18x+80))	$\frac{3 x^{2} - 192}{64 - x^{2}} \cdot \frac{4}{x^{2} + 16 x + 64} \div \frac{x + 10}{x^{2} + 18 x + 80}$
228335	Simplify	square root of x^2-4x+4- square root of x^2+4x+4	$\sqrt{x^{2} - 4 x + 4} - \sqrt{x^{2} + 4 x + 4}$
228336	Simplify the Radical Expression	square root of 12x^2+12x+3	$\sqrt{12 x^{2} + 12 x + 3}$
228337	Solve for z	2 7/8=3/4(z+1)	$2 \frac{7}{8} = \frac{3}{4} (z + 1)$
228338	Find the Domain and Range	y=sec(x+pi)	$y = \sec (x + π)$
228339	Convert to Radical Form	(3x^3)^(-2/7)	${(3 x^{3})}^{- \frac{2}{7}}$
228340	Evaluate	5(7+6s-9t)	$5 (7 + 6 s - 9 t)$
228341	Evaluate	5/8(4x-12)+1/2x-3 1/2=3(x+3)	$\frac{5}{8} (4 x - 12) + \frac{1}{2} x - 3 \frac{1}{2} = 3 (x + 3)$
228342	Factor	9b^2x-16y-16x+9b^2y	$9 b^{2} x - 16 y - 16 x + 9 b^{2} y$
228343	Find the Degree, Leading Term, and Leading Coefficient	m+m^3-8m^4	$m + m^{3} - 8 m^{4}$
228344	Find All Complex Solutions	x^3-5x^2+x-5=x^2+1	$x^{3} - 5 x^{2} + x - 5 = x^{2} + 1$
228345	Solve for x	(x^2+4x+4)/40=(x+2)/10	$\frac{x^{2} + 4 x + 4}{40} = \frac{x + 2}{10}$
228346	Graph	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
228347	Divide Using Synthetic Division	x^3+x^2-2x+14 by x+3	$x^{3} + x^{2} - 2 x + 14$ by $x + 3$
228348	Simplify	( square root of 3)/3+( square root of 3)/3	$\frac{\sqrt{3}}{3} + \frac{\sqrt{3}}{3}$
228349	Simplify	(16x-x^2)(4+ square root of x)	$(16 x - x^{2}) (4 + \sqrt{x})$
228350	Graph	Graph the line y=4	Graph the line $y = 4$
228351	Graph	(-2,6) , (-2,-3) , (7,6)	$(- 2, 6)$ , $(- 2, - 3)$ , $(7, 6)$
228352	Solve for x	-3(x+15)+4-5x=2+10x-7	$- 3 (x + 15) + 4 - 5 x = 2 + 10 x - 7$
228353	Find the Quotient	(a^3+b^3)/(a+b)	$\frac{a^{3} + b^{3}}{a + b}$
228354	Simplify	(2/9*(-x-1)/(x-10))÷((x^2-1)/(x^2-11x+10))	$\frac{2}{9} \cdot \frac{- x - 1}{x - 10} \div \frac{x^{2} - 1}{x^{2} - 11 x + 10}$
228355	Simplify	(x(x-2)(x-1))/((x-4)(x-1))	$\frac{x (x - 2) (x - 1)}{(x - 4) (x - 1)}$
228356	Factor	9xy+12yz-3y	$9 x y + 12 y z - 3 y$
228357	Simplify	3(-2)^3+5	$3 {(- 2)}^{3} + 5$
228358	Solve for x	cos(x)^3-2cos(x)^2-cos(x)+2=0	$\cos^{3} (x) - 2 \cos^{2} (x) - \cos (x) + 2 = 0$
228359	Solve for x	cube root of 27=x	$\sqrt[3]{27} = x$
228360	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,0) and has a slope of 3/5 ?	What is the equation of the line that passes through the point $(- 5, 0)$ and has a slope of $\frac{3}{5}$ ?
228361	Evaluate	-125%+28/20	$- 125 % + \frac{28}{20}$
228362	Solve for x	2^(2x)+4^(x+1)=80	$2^{2 x} + 4^{x + 1} = 80$
228363	Simplify the Radical Expression	(27/8)^(4/3)	${(\frac{27}{8})}^{\frac{4}{3}}$
228364	Solve for a	16-5a+2a-1=41-a	$16 - 5 a + 2 a - 1 = 41 - a$
228365	Find the First Term	a_n=1/(n^2)	$a_{n} = \frac{1}{n^{2}}$
228366	Simplify	(-3d^2-8+2d)+(4d-12+d^2)	$(- 3 d^{2} - 8 + 2 d) + (4 d - 12 + d^{2})$
228367	Find the Domain of the Composition f(g(x))	f(x)=x^2+6x-2 g(x)=x-6	$f (x) = x^{2} + 6 x - 2$ $g (x) = x - 6$
228368	Write in y=mx+b Form	5-3(x+1)=2y-3x+2	$5 - 3 (x + 1) = 2 y - 3 x + 2$
228369	Solve for x	(x(x+5))/(4x+4)=9/5	$\frac{x (x + 5)}{4 x + 4} = \frac{9}{5}$
228370	Simplify the Radical Expression	((x^8)/(x^6))^(5/4)	${(\frac{x^{8}}{x^{6}})}^{\frac{5}{4}}$
228371	Find the Equation Using Point-Slope Formula	through: (-2,5) , slope=-4	through: $(- 2, 5)$ , $s l o p e = - 4$
228372	Simplify	square root of 5a^7 square root of 15a^3	$\sqrt{5 a^{7}} \sqrt{15 a^{3}}$
228373	Solve the System of Equations	-x+4y=16 and 3x-y=7	$- x + 4 y = 16$ and $3 x - y = 7$
228374	Solve for n	48 is 75% of what number?	$48$ is $75 %$ of what number?
228375	Multiply	(i)(3i)	$(i) (3 i)$
228376	Factor	121a^2b^3-169b^2b^3	$121 a^{2} b^{3} - 169 b^{2} b^{3}$
228377	Solve for x	square root of 15-x- square root of 6x=-3	$\sqrt{15 - x} - \sqrt{6 x} = - 3$
228378	Evaluate	(- square root of 6+ square root of 2)/4	$\frac{- \sqrt{6} + \sqrt{2}}{4}$
228379	Graph	y=x y=2x	$y = x$ $y = 2 x$
228380	Solve for x	(x+5)/(x^2-2x)-1=1/(x^2-2x)	$\frac{x + 5}{x^{2} - 2 x} - 1 = \frac{1}{x^{2} - 2 x}$
228381	Simplify	(2x)/(x square root of 3)	$\frac{2 x}{x \sqrt{3}}$
228382	Write in Standard Form	-2+2/7x=-y	$- 2 + \frac{2}{7} x = - y$
228383	Graph	F(X)=-3+2	$F (X) = - 3 + 2$
228384	Simplify	(3m-2n^2)(2m^2+3n)	$(3 m - 2 n^{2}) (2 m^{2} + 3 n)$
228385	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,4) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 4, 4)$ and has a slope of $- 2$ ?
228386	Solve for b	y=2x^2+bx+c	$y = 2 x^{2} + b x + c$
228387	Simplify	x/(x+3)-(4(x+3))/(x-1)	$\frac{x}{(x + 3)} - \frac{4 (x + 3)}{(x - 1)}$
228388	Simplify	x^4y^5*x^-6	$x^{4} y^{5} \cdot x^{- 6}$
228389	Find the Excluded Values	(x^2-25)/(3-x)*(x-3)/(x+5)	$\frac{x^{2} - 25}{3 - x} \cdot \frac{x - 3}{x + 5}$
228390	Solve for w	-1/4w-3=w+1/3	$- \frac{1}{4} w - 3 = w + \frac{1}{3}$
228391	Graph	-2<=x/4-6<6	$- 2 \leq \frac{x}{4} - 6 < 6$
228392	Solve for n	n+n+n+n=16	$n + n + n + n = 16$
228393	Simplify	square root of 6c^9* square root of 2mc	$\sqrt{6 c^{9}} \cdot \sqrt{2 m c}$
228394	Graph	Graph the line with the equation y=-x-6	Graph the line with the equation $y = - x - 6$
228395	Solve for vբ	m_1v_1+m_2v_2=m_1v_f+m_2v_f	$m_{1} v_{1} + m_{2} v_{2} = m_{1} v_{f} + m_{2} v_{f}$
228396	Graph	f(x)=-3/4 cube root of x+1	$f (x) = - \frac{3}{4} \sqrt[3]{x + 1}$
228397	Evaluate Using the Given Value	7m+3mn when m=8 and n=14	$7 m + 3 m n$ when $m = 8$ and $n = 14$
228398	Simplify	(y3/4)(y1/4)	$(y \frac{3}{4}) (y \frac{1}{4})$
228399	Multiply	4(2x+1)(3x-1)	$4 (2 x + 1) (3 x - 1)$
228400	Solve for t	tan(3t+pi/2)^2=1/3	$\tan^{2} (3 t + \frac{π}{2}) = \frac{1}{3}$