Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
165301	Solve for x	3^(7x+4)=(1/27)^(x-3)	$3^{7 x + 4} = {(\frac{1}{27})}^{x - 3}$
165302	Multiply	(5m^4-3m^2+6)(-3m+2)	$(5 m^{4} - 3 m^{2} + 6) (- 3 m + 2)$
165303	Solve for x	(1/8)^(3x+4)=(1/4)^(-2x+4)	${(\frac{1}{8})}^{3 x + 4} = {(\frac{1}{4})}^{- 2 x + 4}$
165304	Solve for x	-7/(2x)+1/(2x)=1	$- \frac{7}{2 x} + \frac{1}{2 x} = 1$
165305	Combine Like Terms	2-4y-6x^2-x^2+y+7x^2-2	$2 - 4 y - 6 x^{2} - x^{2} + y + 7 x^{2} - 2$
165306	Evaluate	(f+g)(-3)	$(f + g) (- 3)$
165307	Solve the System of Inequalities	-9x+2>18 and 13x+15<=-4	$- 9 x + 2 > 18$ and $13 x + 15 \leq - 4$
165308	Solve for x	x-(x+2)/12=(5x)/2	$x - \frac{x + 2}{12} = \frac{5 x}{2}$
165309	Solve for x	log base a of a^n=x	$\log_{a} (a^{n}) = x$
165310	Find the Function	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
165311	Solve for θ	sin(2theta)-cos(theta)=0	$\sin (2 θ) - \cos (θ) = 0$
165312	Rationalize the Denominator	fifth root of 1/(x^3)	$\sqrt[5]{\frac{1}{x^{3}}}$
165313	Simplify	(a^11b^-10cd^-1)^-2	${(a^{11} b^{- 10} c d^{- 1})}^{- 2}$
165314	Solve for x	-1.4=0.1+x/1.4	$- 1.4 = 0.1 + \frac{x}{1.4}$
165315	Find the Exact Value	f^-1(6)	$f^{- 1} (6)$
165316	Graph Using a Table of Values	f(x)=(4x+6)/(x+2)	$f (x) = \frac{4 x + 6}{x + 2}$
165317	Factor	-z^6-2z^5-16z^4-32z^3	$- z^{6} - 2 z^{5} - 16 z^{4} - 32 z^{3}$
165318	Solve for θ	tan(theta)-1=0	$\tan (θ) - 1 = 0$
165319	Graph	y>-1/2x+2 y<1/3x-1	$y > - \frac{1}{2} x + 2$ $y < \frac{1}{3} x - 1$
165320	Find the Holes in the Graph	f(x)=(-4x^2+16x-16)/(3x^2-3x-6)	$f (x) = \frac{- 4 x^{2} + 16 x - 16}{3 x^{2} - 3 x - 6}$
165321	Simplify	-10/(2i)	$\frac{- 10}{2 i}$
165322	Solve for x	12-5(x+3)=2x-5	$12 - 5 (x + 3) = 2 x - 5$
165323	Find the x and y Intercepts	f(x)=(5x^2)/(2x^2+3x)	$f (x) = \frac{5 x^{2}}{2 x^{2} + 3 x}$
165324	Find the x and y Intercepts	f(x)=e^(x-2)-3	$f (x) = e^{x - 2} - 3$
165325	Simplify	(5h^4)/(2(h^2)^5)	$\frac{5 h^{4}}{2 {(h^{2})}^{5}}$
165326	Solve the System of Inequalities	8x+8>=-64 and -7-8x>=-79	$8 x + 8 \geq - 64$ and $- 7 - 8 x \geq - 79$
165327	Find the Product	(x-5y)^2	${(x - 5 y)}^{2}$
165328	Write in Standard Form	9x+x^2-1/10	$9 x + x^{2} - \frac{1}{10}$
165329	Simplify	5x+7-(2x)/(x-5)	$5 x + 7 - \frac{2 x}{x - 5}$
165330	Combine Like Terms	6n^2-2n-3+5n^2-9n-6	$6 n^{2} - 2 n - 3 + 5 n^{2} - 9 n - 6$
165331	Graph	y<=x^2-4x+3	$y \leq x^{2} - 4 x + 3$
165332	Solve for f	jf=m	$j f = m$
165333	Solve the Inequality for x	4/9x-10>x/3-12	$\frac{4}{9} x - 10 > \frac{x}{3} - 12$
165334	Find the Slope and y-intercept	3y+5=0	$3 y + 5 = 0$
165335	Find the Roots (Zeros)	(x-3)^2=0	${(x - 3)}^{2} = 0$
165336	Solve for b	\|11-4b\|=6	$\| 11 - 4 b \| = 6$
165337	Simplify	6x+2x+1+4	$6 x + 2 x + 1 + 4$
165338	Solve the Absolute Value Inequality for f	6\|-f+3\|+7>7	$6 \| - f + 3 \| + 7 > 7$
165339	Find the Exact Value	cos(120 degrees +45 degrees )	$\cos (120 ° + 45 °)$
165340	Solve for a	x^(5/6)x^2=x^a	$x^{\frac{5}{6}} x^{2} = x^{a}$
165341	Subtract	-2x-10 from 10x^2+3	$- 2 x - 10$ from $10 x^{2} + 3$
165342	Solve the Inequality for n	4+3(10n+6)<=n-3-10	$4 + 3 (10 n + 6) \leq n - 3 - 10$
165343	Solve for q	2(8q-5)=4q	$2 (8 q - 5) = 4 q$
165344	Identify the Conic	y=7x^2+5x-2	$y = 7 x^{2} + 5 x - 2$
165345	Multiply	-1/4*3	$- \frac{1}{4} \cdot 3$
165346	Evaluate the Function	f(2)=3	$f (2) = 3$
165347	Graph	f(x)=-4/3(3)^x	$f (x) = - \frac{4}{3} {(3)}^{x}$
165348	Find the x and y Intercepts	f(x)=1/2 square root of x-3	$f (x) = \frac{1}{2} \sqrt{x - 3}$
165349	Find the Holes in the Graph	f(x)=(-4x^2+4x)/(5x^2-25x+20)	$f (x) = \frac{- 4 x^{2} + 4 x}{5 x^{2} - 25 x + 20}$
165350	Simplify	3/(4x^2+4x+1)+(x+1)/(4x^2-1)	$\frac{3}{4 x^{2} + 4 x + 1} + \frac{x + 1}{4 x^{2} - 1}$
165351	Simplify	1/4(8x-4)	$\frac{1}{4} (8 x - 4)$
165352	Solve the Inequality for p	-9+5(5p+1)<-9p+8+9	$- 9 + 5 (5 p + 1) < - 9 p + 8 + 9$
165353	Solve for x	-3/(2x)-1/(6x)=-1/4	$- \frac{3}{2 x} - \frac{1}{6 x} = - \frac{1}{4}$
165354	Solve for a	g=ca ; for a	$g = c a$ ; for $a$
165355	Subtract	(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)	$(3 x^{3} - 2 x^{2} + 4 x - 8) - (5 x^{3} + 12 x^{2} - 3 x - 4)$
165356	Solve for a	R^3=5+H/a	$R^{3} = 5 + \frac{H}{a}$
165357	Simplify	square root of -6( square root of -8-2 square root of 2)	$\sqrt{- 6} (\sqrt{- 8} - 2 \sqrt{2})$
165358	Graph	g(x)=4f(x)	$g (x) = 4 f (x)$
165359	Solve the Inequality for q	-2q+3(7q+6)<=10q-1-7	$- 2 q + 3 (7 q + 6) \leq 10 q - 1 - 7$
165360	Simplify	((-t)/3)^2	${(\frac{- t}{3})}^{2}$
165361	Subtract	9x^2-7x from -4x^2+6	$9 x^{2} - 7 x$ from $- 4 x^{2} + 6$
165362	Solve for y	3(x+y)=y	$3 (x + y) = y$
165363	Solve the Absolute Value Inequality for x	\|5x\|+5=45	$\| 5 x \| + 5 = 45$
165364	Solve the Inequality for x	x^2-2x<8	$x^{2} - 2 x < 8$
165365	Solve for x	(x+1)/(x-1)=-9/(x+3)+8/(x^2+2x-3)	$\frac{x + 1}{x - 1} = \frac{- 9}{x + 3} + \frac{8}{x^{2} + 2 x - 3}$
165366	Solve the Inequality for x	(3x+1)/7-(2-4x)/3>=(-5x-4)/14+(7x)/6	$\frac{3 x + 1}{7} - \frac{2 - 4 x}{3} \geq \frac{- 5 x - 4}{14} + \frac{7 x}{6}$
165367	Solve for n	n-5/11=-1/3	$n - \frac{5}{11} = - \frac{1}{3}$
165368	Find the Holes in the Graph	f(x)=(-3x^2-21x-36)/(2x^2+6x)	$f (x) = \frac{- 3 x^{2} - 21 x - 36}{2 x^{2} + 6 x}$
165369	Expand the Logarithmic Expression	natural log of (2x^2y)/(z^4)	$\ln (\frac{2 x^{2} y}{z^{4}})$
165370	Graph	y=-2*(1/3)^(x+1)+7	$y = - 2 \cdot {(\frac{1}{3})}^{x + 1} + 7$
165371	Simplify	(-6/(x+4)+2/(x-5))/(-3/(x+4))	$\frac{- \frac{6}{x + 4} + \frac{2}{x - 5}}{- \frac{3}{x + 4}}$
165372	Solve the System of Inequalities	-20<=-x-10<=-16	$- 20 \leq - x - 10 \leq - 16$
165373	Solve the Inequality for n	9n+3(2n+8)<-10n-4-8	$9 n + 3 (2 n + 8) < - 10 n - 4 - 8$
165374	Solve for a	7+3a=12+2a	$7 + 3 a = 12 + 2 a$
165375	Simplify	(17 square root of 2z^2)(4 square root of 12z^2)	$(17 \sqrt{2 z^{2}}) (4 \sqrt{12 z^{2}})$
165376	Solve for x	7+\|10+x\|=16	$7 + \| 10 + x \| = 16$
165377	Solve for s	6=-4/5s	$6 = - \frac{4}{5} s$
165378	Simplify	square root of 32*5 square root of 2	$\sqrt{32} \cdot 5 \sqrt{2}$
165379	Combine Like Terms	6a^2b^2+3ab^2-a^2b^2-4ab^2	$6 a^{2} b^{2} + 3 a b^{2} - a^{2} b^{2} - 4 a b^{2}$
165380	Solve for D	f=-m+1/7rD	$f = - m + \frac{1}{7} r D$
165381	Solve for X	7^(-9X+1)=49^-12	$7^{- 9 X + 1} = 49^{- 12}$
165382	Evaluate	(1+h)^3	${(1 + h)}^{3}$
165383	Solve for p	-16p+37=49-21p	$- 16 p + 37 = 49 - 21 p$
165384	Identify the Conic	2y^2-5x-12y=17	$2 y^{2} - 5 x - 12 y = 17$
165385	Find the LCD	1/(5x-25) and (3x)/(4x-20)	$\frac{1}{5 x - 25}$ and $\frac{3 x}{4 x - 20}$
165386	Simplify	5x-11y-9+20x-1-y	$5 x - 11 y - 9 + 20 x - 1 - y$
165387	Simplify	7+(3x)/(x+8)	$7 + \frac{3 x}{x + 8}$
165388	Find the Function	f(x)=2x^2-3x+1	$f (x) = 2 x^{2} - 3 x + 1$
165389	Solve the System of Equations	4x+2y=10 x-y=13	$4 x + 2 y = 10$ $x - y = 13$
165390	Solve the Inequality for y	-4<=4(6y-12)-2y	$- 4 \leq 4 (6 y - 12) - 2 y$
165391	Graph	y>4x-3 y>=-2x+3	$y > 4 x - 3$ $y \geq - 2 x + 3$
165392	Solve for y	\|y\|>=4.5	$\| y \| \geq 4.5$
165393	Graph	y<=x^2-1	$y \leq x^{2} - 1$
165394	Solve for r	9q-4=3r-6	$9 q - 4 = 3 r - 6$
165395	Evaluate	cos(theta)=-( square root of 3)/2	$\cos (θ) = - \frac{\sqrt{3}}{2}$
165396	Solve for a	10a-a-9a+3a+2=5	$10 a - a - 9 a + 3 a + 2 = 5$
165397	Subtract	-2x^2-4x from 2x^2-2x-5	$- 2 x^{2} - 4 x$ from $2 x^{2} - 2 x - 5$
165398	Solve for m	m+3n=-2n+4	$m + 3 n = - 2 n + 4$
165399	Find f(g(x))	f(x)=3x and g(x)=x/3	$f (x) = 3 x$ and $g (x) = \frac{x}{3}$
165400	Solve the Inequality for x	(2x-3)/(x+1)<=1	$\frac{2 x - 3}{x + 1} \leq 1$