Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214301	Solve for x	5/x+5=5/3x+31/6	$\frac{5}{x} + 5 = \frac{5}{3} x + \frac{31}{6}$
214302	Evaluate the Function	f(x)=15-2x^2 at x=1	$f (x) = 15 - 2 x^{2}$ at $x = 1$
214303	Solve the System of Equations	2x-y=4 and y=-2x+8	$2 x - y = 4$ and $y = - 2 x + 8$
214304	Simplify	(2/3-3/2i)^2	${(\frac{2}{3} - \frac{3}{2} i)}^{2}$
214305	Solve the System of Inequalities	y<=-2x+6 x-y<6	$y \leq - 2 x + 6$ $x - y < 6$
214306	Rationalize the Denominator	10/(-7+ square root of 11)	$\frac{10}{- 7 + \sqrt{11}}$
214307	Solve by Factoring	x^3+x^2+16x+16=0	$x^{3} + x^{2} + 16 x + 16 = 0$
214308	Simplify	10/(-7+ square root of 11)	$\frac{10}{- 7 + \sqrt{11}}$
214309	Evaluate	log base X of 8=-1/2	$\log_{X} (8) = - \frac{1}{2}$
214310	Simplify	fourth root of 81x^10* square root of 121x	$\sqrt[4]{81 x^{10}} \cdot \sqrt{121 x}$
214311	Find the Domain and Range	y=-sin(x-pi)-2	$y = - \sin (x - π) - 2$
214312	Write in Standard Form	-4y+6=2	$- 4 y + 6 = 2$
214313	Write in Slope-Intercept Form	y=2(x-2)	$y = 2 (x - 2)$
214314	Evaluate	(1+sin(3))/(2+tan(4))	$\frac{1 + \sin (3)}{2 + \tan (4)}$
214315	Graph	x<=-1 or x>2	$x \leq - 1$ or $x > 2$
214316	Solve for m	m^3=-8	$m^{3} = - 8$
214317	Find All Complex Solutions	theta=(-3pi)/4	$θ = \frac{- 3 π}{4}$
214318	Simplify	(9x-5y)+(3x+2y-7)	$(9 x - 5 y) + (3 x + 2 y - 7)$
214319	Evaluate	5/9(45-32)	$\frac{5}{9} (45 - 32)$
214320	Simplify	8/(-4-2i)	$\frac{8}{- 4 - 2 i}$
214321	Divide	2/( square root of 13+ square root of 11)	$\frac{2}{\sqrt{13} + \sqrt{11}}$
214322	Simplify	3/14x+(-1)+(-4)-2/7x	$\frac{3}{14} x + (- 1) + (- 4) - \frac{2}{7} x$
214323	Evaluate the Function	f(-5)=3x^2+x	$f (- 5) = 3 x^{2} + x$
214324	Find the Holes in the Graph	(x^2+x)/(-5x-5)	$\frac{x^{2} + x}{- 5 x - 5}$
214325	Find the x and y Intercepts	(x^2+x)/(-5x-5)	$\frac{x^{2} + x}{- 5 x - 5}$
214326	Solve the System of Equations	-3x-5y+z=-8 2x+8y-z=-4 x+2y-z=2	$- 3 x - 5 y + z = - 8$ $2 x + 8 y - z = - 4$ $x + 2 y - z = 2$
214327	Find the Exact Value	3 square root of -64	$3 \sqrt{- 64}$
214328	Factor	36a^5bc-12c	$36 a^{5} b c - 12 c$
214329	Solve the Inequality for x	6>=8-2x>=-2	$6 \geq 8 - 2 x \geq - 2$
214330	Solve the Inequality for x	square root of x^2-14x+49=x-7	$\sqrt{x^{2} - 14 x + 49} = x - 7$
214331	Factor	sin(x)^2-sin(x)	$\sin^{2} (x) - \sin (x)$
214332	Simplify	(3x)/2*9/(4x^3)	$\frac{3 x}{2} \cdot \frac{9}{4 x^{3}}$
214333	Solve for a	150 = square root of 8000a	$150 = \sqrt{8000 a}$
214334	Simplify	4 square root of 23 square root of 3	$4 \sqrt{23} \sqrt{3}$
214335	Combine Like Terms	8r^2-3rs+3s-3r^2-5rs-2s	$8 r^{2} - 3 r s + 3 s - 3 r^{2} - 5 r s - 2 s$
214336	Multiply	(6x-18)/(4x)*x/(2x-6)	$\frac{6 x - 18}{4 x} \cdot \frac{x}{2 x - 6}$
214337	Solve for x	x+3 5/8=7 1/4	$x + 3 \frac{5}{8} = 7 \frac{1}{4}$
214338	Write the Fraction in Simplest Form	((-3q^-3)^3)/(-6q^-6)	$\frac{{(- 3 q^{- 3})}^{3}}{- 6 q^{- 6}}$
214339	Simplify	((4x^2)/(27x^6))÷((2x)/(9x^3))	$\frac{4 x^{2}}{27 x^{6}} \div \frac{2 x}{9 x^{3}}$
214340	Solve for x	-3/4+1/x=(2x+9)/(4x)	$\frac{- 3}{4} + \frac{1}{x} = \frac{2 x + 9}{4 x}$
214341	Simplify the Radical Expression	cube root of 27^4	$\sqrt[3]{27^{4}}$
214342	Find the Directrix	y^2=4x-4	$y^{2} = 4 x - 4$
214343	Solve for y	8/11=3/(2y)	$\frac{8}{11} = \frac{3}{2 y}$
214344	Multiply	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
214345	Evaluate	2sin(x)+1=0	$2 \sin (x) + 1 = 0$
214346	Convert to Radical Form	((2a)/(9b))^(1/3)	${(\frac{2 a}{9 b})}^{\frac{1}{3}}$
214347	Write the Fraction in Simplest Form	((-3u^-3h^3)^5)/(12u^-9h^10)	$\frac{{(- 3 u^{- 3} h^{3})}^{5}}{12 u^{- 9} h^{10}}$
214348	Simplify	fourth root of 2* eighth root of 4	$\sqrt[4]{2} \cdot \sqrt[8]{4}$
214349	Evaluate	6+1+5-(1-1)+15	$6 + 1 + 5 - (1 - 1) + 15$
214350	Simplify	7-5/6*7-7/6	$7 - \frac{5}{6} \cdot 7 - \frac{7}{6}$
214351	Graph	y>=-x-1 y<x+4	$y \geq - x - 1$ $y < x + 4$
214352	Simplify	(6 fourth root of 3)/( fourth root of 2)	$\frac{6 \sqrt[4]{3}}{\sqrt[4]{2}}$
214353	Evaluate	4(x+5)+4x+8	$4 (x + 5) + 4 x + 8$
214354	Evaluate	(-4)^4+8(-4)^3+18(-4)^2+4	${(- 4)}^{4} + 8 {(- 4)}^{3} + 18 {(- 4)}^{2} + 4$
214355	Solve for x	log base 6 of 3x^2-7- log base 6 of x+7=0	$\log_{6} (3 x^{2} - 7) - \log_{6} (x + 7) = 0$
214356	Graph	y=0 , 5x^2	$y = 0$ , $5 x^{2}$
214357	Solve for p	3/2p-2=-7/8	$\frac{3}{2} p - 2 = - \frac{7}{8}$
214358	Solve for x	square root of x^2 = square root of 16	$\sqrt{x^{2}} = \sqrt{16}$
214359	Solve the Inequality for x	-3x^2+9x+8<4x	$- 3 x^{2} + 9 x + 8 < 4 x$
214360	Solve for x	sin(x)+sin(x)cos(x)=0	$\sin (x) + \sin (x) \cos (x) = 0$
214361	Factor	x^2+xy+x+y	$x^{2} + x y + x + y$
214362	Solve for x	-4x-2(8x+1)=-(-2x-10)	$- 4 x - 2 (8 x + 1) = - (- 2 x - 10)$
214363	Simplify	((x^2)^-2)/x	$\frac{{(x^{2})}^{- 2}}{x}$
214364	Simplify	(6y)/(y^2-5y+6)*(y^2-3y+2)/(3y-3)	$\frac{6 y}{y^{2} - 5 y + 6} \cdot \frac{y^{2} - 3 y + 2}{3 y - 3}$
214365	Divide	( cube root of 48x^3y^2)/( cube root of 6x^4y)	$\frac{\sqrt[3]{48 x^{3} y^{2}}}{\sqrt[3]{6 x^{4} y}}$
214366	Solve the Inequality for x	2x^2-30x+104>=-4	$2 x^{2} - 30 x + 104 \geq - 4$
214367	Solve the System of Equations	2d+e=8 d-e=4	$2 d + e = 8$ $d - e = 4$
214368	Solve the System of Equations	6a-2b-5c=6 6a+2b-2c=16 a+4b+4c=15	$6 a - 2 b - 5 c = 6$ $6 a + 2 b - 2 c = 16$ $a + 4 b + 4 c = 15$
214369	Simplify	(30a^3)/(a^2-16)*(a^2+4a)/(24a^3)	$\frac{30 a^{3}}{a^{2} - 16} \cdot \frac{a^{2} + 4 a}{24 a^{3}}$
214370	Write the Fraction in Simplest Form	((2t)^2)/(3t^8)	$\frac{{(2 t)}^{2}}{3 t^{8}}$
214371	Simplify	(y^2+1)/(y^2-2y)	$\frac{y^{2} + 1}{y^{2} - 2 y}$
214372	Find the Domain and Range	g(x) = square root of x^2+x	$g (x) = \sqrt{x^{2} + x}$
214373	Simplify	(8^-1+8^0)-(2^-1+2^0)	$(8^{- 1} + 8^{0}) - (2^{- 1} + 2^{0})$
214374	Factor	18y-2xy-72+8x	$18 y - 2 x y - 72 + 8 x$
214375	Evaluate	(2)(-7)^2-(-2)(-3)^3	$(2) {(- 7)}^{2} - (- 2) {(- 3)}^{3}$
214376	Solve the Inequality for t	12t<=60	$12 t \leq 60$
214377	Simplify	Subtract 17a^2b from 2a^2b	Subtract $17 a^{2} b$ from $2 a^{2} b$
214378	Simplify	6^0+(5^-3*5^3)	$6^{0} + (5^{- 3} \cdot 5^{3})$
214379	Solve for S	S=(n-2)*180	$S = (n - 2) \cdot 180$
214380	Evaluate	1/2(2)^2pi/3	$\frac{1}{2} {(2)}^{2} \frac{π}{3}$
214381	Find the Inverse	f(x)=7 log of 1/4x-3+2	$f (x) = 7 \log (\frac{1}{4} x - 3) + 2$
214382	Solve the Inequality for x	-2x^2-158<=36x+2	$- 2 x^{2} - 158 \leq 36 x + 2$
214383	Evaluate	m^-2*n^3	$m^{- 2} \cdot n^{3}$
214384	Solve for θ	csc(theta)=-(2 square root of 3)/3	$\csc (θ) = - \frac{2 \sqrt{3}}{3}$
214385	Simplify	(4^2)/(4^3)*4^0	$\frac{4^{2}}{4^{3}} \cdot 4^{0}$
214386	Write in Standard Form	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \cdot 10^{- 5})}{(7.8 \cdot 10^{- 8})}$
214387	Evaluate	(-6)^-21*(-6)^18	${(- 6)}^{- 21} \cdot {(- 6)}^{18}$
214388	Find the Parabola with Focus (5,6) and Directrix x=-2	focus (5,6) ; directrix x=-2	focus $(5, 6)$ ; directrix $x = - 2$
214389	Multiply	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
214390	Divide	(500x^9y^6z^4)/(50x^5y^3z^2)	$\frac{500 x^{9} y^{6} z^{4}}{50 x^{5} y^{3} z^{2}}$
214391	Simplify	square root of 3v(2 square root of 15v- square root of 6)	$\sqrt{3 v} (2 \sqrt{15 v} - \sqrt{6})$
214392	Graph	x<2 y>3	$x < 2$ $y > 3$
214393	Solve the System of Equations	4-0.8x=0.5y -y+0.3x=1.1	$4 - 0.8 x = 0.5 y$ $- y + 0.3 x = 1.1$
214394	Solve for x	(1/49)^(x+2)=(7)^(x-3)	${(\frac{1}{49})}^{x + 2} = {(7)}^{x - 3}$
214395	Simplify	f+f+8f	$f + f + 8 f$
214396	Solve for a	-1/4+3/4a=-(-7/4a-1)	$- \frac{1}{4} + \frac{3}{4} a = - (- \frac{7}{4} a - 1)$
214397	Simplify	1/27y^9-27/1000x^12	$\frac{1}{27} y^{9} - \frac{27}{1000} x^{12}$
214398	Write in Standard Form	(x^2+2x-3)(3x^2-2x+4)	$(x^{2} + 2 x - 3) (3 x^{2} - 2 x + 4)$
214399	Convert to Scientific Notation	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \times 10^{- 7}}$
214400	Simplify	square root of -12*2i square root of -9	$\sqrt{- 12} \cdot 2 i \sqrt{- 9}$