Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
164301	Solve for y	(x^2)/(a^2)+(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
164302	Solve for x	10+(3x)/(x-4)=(5x)/(x-4)	$10 + \frac{3 x}{x - 4} = \frac{5 x}{x - 4}$
164303	Write in Standard Form	y=-11/12x-2 5/6	$y = - \frac{11}{12} x - 2 \frac{5}{6}$
164304	Solve for a	w=3(2a+b)-4	$w = 3 (2 a + b) - 4$
164305	Find the Product	(5k)/6*3/(2k^3)	$\frac{5 k}{6} \cdot \frac{3}{2 k^{3}}$
164306	Solve for x	4/7+3/(x-3)=53/56	$\frac{4}{7} + \frac{3}{x - 3} = \frac{53}{56}$
164307	Write Using Positive Exponents	5x^-2	$5 x^{- 2}$
164308	Simplify	x^(1/2)*x^2	$x^{\frac{1}{2}} \cdot x^{2}$
164309	Solve the Inequality for x	3+1/2(3-x)<-7	$3 + \frac{1}{2} (3 - x) < - 7$
164310	Solve for x	2(2)+x=4	$2 (2) + x = 4$
164311	Solve for y	6(9y-1)-10(5y)-3y=22-4(2y-12)+8(y-6)	$6 (9 y - 1) - 10 (5 y) - 3 y = 22 - 4 (2 y - 12) + 8 (y - 6)$
164312	Solve for b	d=5f+1/5mb	$d = 5 f + \frac{1}{5} m b$
164313	Solve the Inequality for p	3(p-3)-5p>-3p-6	$3 (p - 3) - 5 p > - 3 p - 6$
164314	Find a,b,c	0.75(8+e)=2-1.25e	$0.75 (8 + e) = 2 - 1.25 e$
164315	Solve Using the Quadratic Formula	x=(-8+- square root of 8^2-43-2)/(2(3))	$x = \frac{- 8 + - \sqrt{8^{2} - 4 \cdot 3 \cdot - 2}}{2 (3)}$
164316	Simplify	(-32)^(-1/5)	${(- 32)}^{- \frac{1}{5}}$
164317	Solve the Inequality for z	10z-3(z-8)<-6z+9-1	$10 z - 3 (z - 8) < - 6 z + 9 - 1$
164318	Simplify	x/(x-3)-3/(x+4)+7/(x^2+x-12)	$\frac{x}{x - 3} - \frac{3}{x + 4} + \frac{7}{x^{2} + x - 12}$
164319	Simplify	(27xy^5)/(27x^8y^6)	$\frac{27 x y^{5}}{27 x^{8} y^{6}}$
164320	Solve for x	y=(x+a)m	$y = (x + a) m$
164321	Solve the System of Inequalities	-9x+5<17 and 13x+25<-1	$- 9 x + 5 < 17$ and $13 x + 25 < - 1$
164322	Evaluate	\|-5^2+3^2\|	$\| - 5^{2} + 3^{2} \|$
164323	Simplify the Radical Expression	fourth root of -81	$\sqrt[4]{- 81}$
164324	Solve for y	4(y-3)+19=8(2y+3)+7	$4 (y - 3) + 19 = 8 (2 y + 3) + 7$
164325	Evaluate	f(-x)=x/(x^2+1)	$f (- x) = \frac{x}{x^{2} + 1}$
164326	Solve for h	r+(3q)/h=t	$r + \frac{3 q}{h} = t$
164327	Simplify	((x^3)/(x^2))÷((x^2-7x-8)/(x^2-1))	$\frac{x^{3}}{x^{2}} \div \frac{x^{2} - 7 x - 8}{x^{2} - 1}$
164328	Solve for y	1/3(y+7)=3(y-1)	$\frac{1}{3} (y + 7) = 3 (y - 1)$
164329	Factor	4a^2-4a^2b+a^2b^2	$4 a^{2} - 4 a^{2} b + a^{2} b^{2}$
164330	Evaluate	tan(theta) = square root of 3	$\tan (θ) = \sqrt{3}$
164331	Simplify	(2x^-3y^3)(-7x^5y^-6)	$(2 x^{- 3} y^{3}) (- 7 x^{5} y^{- 6})$
164332	Find the Holes in the Graph	f(x)=(x^2-5x)/(2x^2)	$f (x) = \frac{x^{2} - 5 x}{2 x^{2}}$
164333	Solve for q	8q(q-2)+10=0	$8 q (q - 2) + 10 = 0$
164334	Solve for x	log base 2 of 2+ log base 2 of 8x=6	$\log_{2} (2) + \log_{2} (8 x) = 6$
164335	Solve for x	7-2\|x-6\|=-13	$7 - 2 \| x - 6 \| = - 13$
164336	Write in Exponential Form	log base 7 of x^2-2x-11=3x	$\log_{7} (x^{2} - 2 x - 11) = 3 x$
164337	Graph	-2/(x-1)=4	$- \frac{2}{x - 1} = 4$
164338	Solve the Inequality for x	(x+4)/(x-3)<=0	$\frac{x + 4}{x - 3} \leq 0$
164339	Evaluate	9=-3(e-2)	$9 = - 3 (e - 2)$
164340	Find the LCM	6 and 9	$6$ and $9$
164341	Simplify	((2y^2-7y-15)/(3y^2-8y-3)*(9y^2-1)/(4y^2-9))÷((y^2+3y-10)/(2y^2-9y+9))	$\frac{2 y^{2} - 7 y - 15}{3 y^{2} - 8 y - 3} \cdot \frac{9 y^{2} - 1}{4 y^{2} - 9} \div \frac{y^{2} + 3 y - 10}{2 y^{2} - 9 y + 9}$
164342	Simplify	((x^2-4)/(4x+12))÷((x^2+5x+6)/(x^2+3x))	$\frac{x^{2} - 4}{4 x + 12} \div \frac{x^{2} + 5 x + 6}{x^{2} + 3 x}$
164343	Solve for x	-x/(x+6)-1=6/(x+6)	$- \frac{x}{x + 6} - 1 = \frac{6}{x + 6}$
164344	Simplify	(x^2-6x-16)/x*(2x)/(x^2-4)	$\frac{x^{2} - 6 x - 16}{x} \cdot \frac{2 x}{x^{2} - 4}$
164345	Graph	6x^2+3xy-8x+y-12=0	$6 x^{2} + 3 x y - 8 x + y - 12 = 0$
164346	Factor	1-9a^2b^4c^6d^8	$1 - 9 a^{2} b^{4} c^{6} d^{8}$
164347	Solve the System of Inequalities	2>x-2 or 4<x-2	$2 > x - 2$ or $4 < x - 2$
164348	Simplify	(x^2+8x-9)/(x-1)*(4x^2)/(x^2+x-72)	$\frac{x^{2} + 8 x - 9}{x - 1} \cdot \frac{4 x^{2}}{x^{2} + x - 72}$
164349	Simplify	(5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)	$(5 x^{4} - 9 x^{3} + 7 x - 1) + (- 8 x^{4} + 4 x^{2} - 3 x + 2) - (- 4 x^{3} + 5 x - 1) (2 x - 7)$
164350	Write in Standard Form	-x^4+1-1/10x^2	$- x^{4} + 1 - \frac{1}{10} x^{2}$
164351	Simplify	5/9(F-32)	$\frac{5}{9} (F - 32)$
164352	Simplify	(8- square root of x)/(8+ square root of x)	$\frac{8 - \sqrt{x}}{8 + \sqrt{x}}$
164353	Solve for x	(2x-1)(3x+2)=x+292	$(2 x - 1) (3 x + 2) = x + 292$
164354	Solve for a	(4d)/a-9=g	$\frac{4 d}{a} - 9 = g$
164355	Evaluate	cos(pi/4)^2	$\cos^{2} (\frac{π}{4})$
164356	Solve for a	n=b/a+3	$n = \frac{b}{a} + 3$
164357	Solve the System of Equations	3x+2y+z=1 5x+3y+4z=2 x+y-z=1	$3 x + 2 y + z = 1$ $5 x + 3 y + 4 z = 2$ $x + y - z = 1$
164358	Solve for c	5(2c-3)=3(3c-5)	$5 (2 c - 3) = 3 (3 c - 5)$
164359	Evaluate	1+1/2*2^2-3	$1 + \frac{1}{2} \cdot 2^{2} - 3$
164360	Solve for b	F=N^3+1/8rb	$F = N^{3} + \frac{1}{8} r b$
164361	Simplify	((x^2-1)/(x^2-5x-6))÷((5x+25)/(x-6))	$\frac{x^{2} - 1}{x^{2} - 5 x - 6} \div \frac{5 x + 25}{x - 6}$
164362	Simplify	(x^3-x)/(x^2-2x+1)	$\frac{x^{3} - x}{x^{2} - 2 x + 1}$
164363	Solve for x	x = square root of -27+12x	$x = \sqrt{- 27 + 12 x}$
164364	Simplify	x^5y^3(-2x^3y)	$x^{5} y^{3} (- 2 x^{3} y)$
164365	Find the Holes in the Graph	f(x)=(-3x+12)/(x^2-4x)	$f (x) = \frac{- 3 x + 12}{x^{2} - 4 x}$
164366	Find the Roots (Zeros)	m(x)=-x^2-27	$m (x) = - x^{2} - 27$
164367	Solve for x	5^(x-12)=(1/125)^(12/5)	$5^{x - 12} = {(\frac{1}{125})}^{\frac{12}{5}}$
164368	Solve for x	cube root of 5x-4 = cube root of 7x+8	$\sqrt[3]{5 x - 4} = \sqrt[3]{7 x + 8}$
164369	Evaluate	2^x=5	$2^{x} = 5$
164370	Simplify	((7x^2)/(2x+6))÷((3x-5)/(x+3))	$\frac{7 x^{2}}{2 x + 6} \div \frac{3 x - 5}{x + 3}$
164371	Simplify	(9x+8)/(4x-14)+(3x+2)/(4x-14)	$\frac{9 x + 8}{4 x - 14} + \frac{3 x + 2}{4 x - 14}$
164372	Find the x and y Intercepts	2y+4x+10	$2 y + 4 x + 10$
164373	Solve for x	-2/3=x/15	$- \frac{2}{3} = \frac{x}{15}$
164374	Graph	f(x)=(x^2)/x	$f (x) = \frac{x^{2}}{x}$
164375	Find the Axis of Symmetry	y=(x-3)^2	$y = {(x - 3)}^{2}$
164376	Find the Exact Value	-1^3	$- 1^{3}$
164377	Solve the Inequality for z	-7z-(-5z-4)<=-3z-2+4z	$- 7 z - (- 5 z - 4) \leq - 3 z - 2 + 4 z$
164378	Find the Exact Value	sin(45 degrees -30 degrees )	$\sin (45 ° - 30 °)$
164379	Evaluate	3^x=27	$3^{x} = 27$
164380	Solve the System of Equations	4a+2b=20 15a+5b=60	$4 a + 2 b = 20$ $15 a + 5 b = 60$
164381	Write in Standard Form	-4-x^2+4x	$- 4 - x^{2} + 4 x$
164382	Solve for y	y-3y-6=28	$y - 3 y - 6 = 28$
164383	Solve for x	square root of x=15+11	$\sqrt{x} = 15 + 11$
164384	Solve for x	4/3+2/x=4	$\frac{4}{3} + \frac{2}{x} = 4$
164385	Solve for k	k^2-6=43	$k^{2} - 6 = 43$
164386	Solve for a	s=1/2at^2+vt	$s = \frac{1}{2} a t^{2} + v t$
164387	Solve the Inequality for g	-7-5(3g+8)<10g-7+g	$- 7 - 5 (3 g + 8) < 10 g - 7 + g$
164388	Evaluate	((2pi)/3)÷4	$\frac{2 π}{3} \div 4$
164389	Solve the Inequality for a	a(x+3)<5x+15-x	$a (x + 3) < 5 x + 15 - x$
164390	Simplify	3 square root of -24*2 square root of -18	$3 \sqrt{- 24} \cdot 2 \sqrt{- 18}$
164391	Write in Standard Form	(12a^5-6a-10a^3)-(10a-2a^5-14a^4)	$(12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})$
164392	Find the Domain of the Composition g(f(x))	f(x)=x+3 , g(x)=2x^2-5x-3	$f (x) = x + 3$ , $g (x) = 2 x^{2} - 5 x - 3$
164393	Solve the Inequality for x	-4x<12	$- 4 x < 12$
164394	Solve the System of Inequalities	22>=4x+2>-18	$22 \geq 4 x + 2 > - 18$
164395	Write in Standard Form	4w^11-w^12	$4 w^{11} - w^{12}$
164396	Graph Using a Table of Values	f(x) = cube root of x+1	$f (x) = \sqrt[3]{x + 1}$
164397	Simplify	x^2+2x-3-2x^2+x+4	$x^{2} + 2 x - 3 - 2 x^{2} + x + 4$
164398	Simplify	((2(pm^-1)q^0)^-4*2m^-1p^3)/(2pq^2)	$\frac{{(2 p m^{- 1} q^{0})}^{- 4} \cdot 2 m^{- 1} p^{3}}{2 p q^{2}}$
164399	Multiply	x(x^2)	$x (x^{2})$
164400	Write in Standard Form	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$