Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235301	Solve the Inequality for x	(x-4)/6>=(x-2)/9+5/18	$\frac{x - 4}{6} \geq \frac{x - 2}{9} + \frac{5}{18}$
235302	Simplify the Radical Expression	3 square root of 12-5 square root of 27+2 square root of 75	$3 \sqrt{12} - 5 \sqrt{27} + 2 \sqrt{75}$
235303	Evaluate	sin(pi/4)-sin(pi/4)	$\sin (\frac{π}{4}) - \sin (\frac{π}{4})$
235304	Solve the System of Inequalities	y<=-2x-7 y>=x+2	$y \leq - 2 x - 7$ $y \geq x + 2$
235305	Solve Using the Quadratic Formula	2-x^2-x=0	$2 - x^{2} - x = 0$
235306	Evaluate	2(g(3))+g(-4)	$2 (g (3)) + g (- 4)$
235307	Solve the System of Equations	y=x+3 y=x-1	$y = x + 3$ $y = x - 1$
235308	Simplify	( fourth root of 4)( cube root of 4)	$(\sqrt[4]{4}) (\sqrt[3]{4})$
235309	Factor	Factor: 2x^2+5x-3	Factor: $2 x^{2} + 5 x - 3$
235310	Evaluate	(-2-(-2))^2	${(- 2 - (- 2))}^{2}$
235311	Solve for y	natural log of 2y-5+ natural log of 2=5x+ natural log of 5x	$\ln (2 y - 5) + \ln (2) = 5 x + \ln (5 x)$
235312	Simplify	(1- square root of -1)/(1+ square root of -1)	$\frac{1 - \sqrt{- 1}}{1 + \sqrt{- 1}}$
235313	Solve for x	square root of 2x+4 = square root of x-2	$\sqrt{2 x + 4} = \sqrt{x} - 2$
235314	Solve for x	-9=x^2+6x	$- 9 = x^{2} + 6 x$
235315	Solve the System of Equations	9x+15y=6 5y=-3x+4	$9 x + 15 y = 6$ $5 y = - 3 x + 4$
235316	Solve for a	4 = cube root of 8a	$4 = \sqrt[3]{8 a}$
235317	Simplify	(x^(1/2)y^-2z^4)/(x^(3/2)y^3z^(3/2))	$\frac{x^{\frac{1}{2}} y^{- 2} z^{4}}{x^{\frac{3}{2}} y^{3} z^{\frac{3}{2}}}$
235318	Simplify	30 root of 32a^20b^15c^25	$\sqrt[30]{32 a^{20} b^{15} c^{25}}$
235319	Simplify	fourth root of (x^2)/(9x)	$\sqrt[4]{\frac{x^{2}}{9 x}}$
235320	Find the Complex Conjugate	-8+ square root of -25	$- 8 + \sqrt{- 25}$
235321	Graph	y<-3/4x+5 y<=-1/4x+3	$y < - \frac{3}{4} x + 5$ $y \leq - \frac{1}{4} x + 3$
235322	Subtract	0-3/2	$0 - \frac{3}{2}$
235323	Evaluate	1-1/e	$1 - \frac{1}{e}$
235324	Evaluate Using the Given Value	y+z+2 ; use y=-6 ; and z=5	$y + z + 2$ ; use $y = - 6$ ; and $z = 5$
235325	Simplify	(4b^3-6b^2-b)÷4b	$(4 b^{3} - 6 b^{2} - b) \div 4 b$
235326	Simplify	(15x^2+6x)/(3x)*(2x-1)	$\frac{15 x^{2} + 6 x}{3 x} \cdot (2 x - 1)$
235327	Find f(g(x))	f(x)=x^2+x-2 g(x)=-4x-6	$f (x) = x^{2} + x - 2$ $g (x) = - 4 x - 6$
235328	Evaluate	g(1+h)=x^2	$g (1 + h) = x^{2}$
235329	Graph	2x<7x-36	$2 x < 7 x - 36$
235330	Simplify the Radical Expression	6 square root of 10+5 square root of 10-15 square root of 10	$6 \sqrt{10} + 5 \sqrt{10} - 15 \sqrt{10}$
235331	Simplify	(sin(theta)cos(theta))/(sin(theta-pi))	$\frac{\sin (θ) \cos (θ)}{\sin (θ - π)}$
235332	Find the Perfect Square Trinomial	(2x-3)(3x-3)	$(2 x - 3) (3 x - 3)$
235333	Simplify	(x+1)/(x+2)+1/((x+1)/(x+2))	$\frac{x + 1}{x + 2} + \frac{1}{\frac{x + 1}{x + 2}}$
235334	Find the Degree, Leading Term, and Leading Coefficient	7p^5-p/10+p^4	$7 p^{5} - \frac{p}{10} + p^{4}$
235335	Factor	7z^4(2z^2-z-6)	$7 z^{4} (2 z^{2} - z - 6)$
235336	Rationalize the Denominator	-6/(-7- square root of 13)	$\frac{- 6}{- 7 - \sqrt{13}}$
235337	Find the Roots (Zeros)	2x^2+x+2=0	$2 x^{2} + x + 2 = 0$
235338	Find the x and y Intercepts	f(x)=5x^2(x^2-7)(x-1)^2	$f (x) = 5 x^{2} (x^{2} - 7) {(x - 1)}^{2}$
235339	Evaluate	12tan(pi/3)^2+24sec(pi/6)^2	$12 \tan^{2} (\frac{π}{3}) + 24 \sec^{2} (\frac{π}{6})$
235340	Divide Using Long Polynomial Division	4x^3+10x^2+11x+14 divided by x+2	$4 x^{3} + 10 x^{2} + 11 x + 14$ divided by $x + 2$
235341	Evaluate	8w+5=4(2w+1)	$8 w + 5 = 4 (2 w + 1)$
235342	Simplify	(4x^2y)(x^3-3x^2+1)	$(4 x^{2} y) (x^{3} - 3 x^{2} + 1)$
235343	Evaluate the Function	D(0)=2F+115	$D (0) = 2 F + 115$
235344	Find the Inverse	y=-4/5x+1/5	$y = - \frac{4}{5} x + \frac{1}{5}$
235345	Graph	y+x<3 y-x>=1	$y + x < 3$ $y - x \geq 1$
235346	Solve for x	11/(3x)-1/3=-4/(x^2)	$\frac{11}{3 x} - \frac{1}{3} = \frac{- 4}{x^{2}}$
235347	Convert to a Decimal	13rev per s	$13$ revolutions per second
235348	Simplify	(2/3)^(x+4)-(2/3)^x	${(\frac{2}{3})}^{x + 4} - {(\frac{2}{3})}^{x}$
235349	Solve for m	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
235350	Simplify	-3.7+5g+4k+11.1-10g	$- 3.7 + 5 g + 4 k + 11.1 - 10 g$
235351	Evaluate	1/2(105+144)	$\frac{1}{2} (10 \cdot 5 + 14 \cdot 4)$
235352	Evaluate the Function	p(264)=1/33d+1	$p (264) = \frac{1}{33} d + 1$
235353	Solve for y	x=(y+9)/6	$x = \frac{y + 9}{6}$
235354	Solve for n	4n^2+3=75	$4 n^{2} + 3 = 75$
235355	Solve for x	2x^3+x^2-3x=0	$2 x^{3} + x^{2} - 3 x = 0$
235356	Solve for x	2/3 log base 3 of x=2	$\frac{2}{3} \log_{3} (x) = 2$
235357	Solve by Addition/Elimination	2x+6y=-28 x+3y=-14	$2 x + 6 y = - 28$ $x + 3 y = - 14$
235358	Solve for x	f(-x)=4x^2+2x-4	$f (- x) = 4 x^{2} + 2 x - 4$
235359	Solve for x	3/(x-2)-2/(x+3)=1	$\frac{3}{x - 2} - \frac{2}{x + 3} = 1$
235360	Solve the System of Equations	3x+2y-z=17 x-2y-4z=5 2x+y+2z=5	$3 x + 2 y - z = 17$ $x - 2 y - 4 z = 5$ $2 x + y + 2 z = 5$
235361	Graph	y=3sin(3/4)(x+(2pi)/3)+5	$y = 3 \sin (\frac{3}{4}) (x + \frac{2 π}{3}) + 5$
235362	Find the Discriminant	3(x^2+16)=0	$3 (x^{2} + 16) = 0$
235363	Simplify	(x^2+9x+20)-(x+4)	$(x^{2} + 9 x + 20) - (x + 4)$
235364	Convert to Radical Form	16^(-3/4)	$16^{\frac{- 3}{4}}$
235365	Simplify	(4ab)/(cx+dx)*(ax+bx)/(2ab)	$\frac{4 a b}{c x + d x} \cdot \frac{a x + b x}{2 a b}$
235366	Graph	0^x	$0^{x}$
235367	Evaluate	-2(1-4x)=3x+8	$- 2 (1 - 4 x) = 3 x + 8$
235368	Solve for x	(17x-1)^2-2(17x-1)-3=0	${(17 x - 1)}^{2} - 2 (17 x - 1) - 3 = 0$
235369	Simplify	(1+tan(x)^2)sin(x)^2	$(1 + \tan^{2} (x)) \sin^{2} (x)$
235370	Solve the Inequality for m	-3<m-5<-1	$- 3 < m - 5 < - 1$
235371	Solve for v	-3v+12v+6=7v+30	$- 3 v + 12 v + 6 = 7 v + 30$
235372	Multiply	x/2*x	$\frac{x}{2} \cdot x$
235373	Solve for n	n+-36=12	$n + - 36 = 12$
235374	Solve by Substitution	y=-1/2x^2 y=x-4	$y = - \frac{1}{2} x^{2}$ $y = x - 4$
235375	Simplify	(x^2-25)/(3x-7)	$\frac{x^{2} - 25}{3 x - 7}$
235376	Solve for x	5/2-2x=5/2x-3+x	$\frac{5}{2} - 2 x = \frac{5}{2} x - 3 + x$
235377	Simplify	( cube root of 128r^4)( cube root of 108r)	$(\sqrt[3]{128 r^{4}}) (\sqrt[3]{108 r})$
235378	Simplify the Radical Expression	square root of -20* square root of -5	$\sqrt{- 20} \cdot \sqrt{- 5}$
235379	Graph	(dy)/(dx)=x^2+y^2	$\frac{d y}{d x} = x^{2} + y^{2}$
235380	Solve for x	3/2(x+3/5)=-3/5	$\frac{3}{2} (x + \frac{3}{5}) = - \frac{3}{5}$
235381	Solve for x	square root of 2sin(x)^2+cos(x)=0	$\sqrt{2} \sin^{2} (x) + \cos (x) = 0$
235382	Solve the System of Equations	x^2-y=1 2x^2+y^2=17	$x^{2} - y = 1$ $2 x^{2} + y^{2} = 17$
235383	Solve Using the Square Root Property	6x^2+125=x^2	$6 x^{2} + 125 = x^{2}$
235384	Rationalize the Denominator	( square root of 8- square root of 10)/( square root of 10- square root of 2)	$\frac{\sqrt{8} - \sqrt{10}}{\sqrt{10} - \sqrt{2}}$
235385	Simplify	a(a^-3b^-4)^-2b^-3	$a {(a^{- 3} b^{- 4})}^{- 2} b^{- 3}$
235386	Factor	4x^3(x+1)^(-3/2)-x(x+1)^(-1/2)	$4 x^{3} {(x + 1)}^{- \frac{3}{2}} - x {(x + 1)}^{- \frac{1}{2}}$
235387	Simplify	(4x^3y^6z^4)/(8x^6yz^3)	$\frac{4 x^{3} y^{6} z^{4}}{8 x^{6} y z^{3}}$
235388	Solve for h	4 = square root of h-6	$4 = \sqrt{h - 6}$
235389	Write in Standard Form	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2 x})}^{2} = 1$
235390	Solve the Inequality for x	\|3-2x\|>=4	$\| 3 - 2 x \| \geq 4$
235391	Evaluate	sin(2arccos(( square root of 2)/2))	$\sin (2 \arccos (\frac{\sqrt{2}}{2}))$
235392	Solve for x	2^(x+4)*2^(4x+6)=2^(2x+1)	$2^{x + 4} \cdot 2^{4 x + 6} = 2^{2 x + 1}$
235393	Simplify	2 square root of 18a^6b^2	$2 \sqrt{18} a^{6} b^{2}$
235394	Simplify	square root of 2/( square root of 3)	$\sqrt{\frac{2}{\sqrt{3}}}$
235395	Evaluate	(3(25)^(1/2))/2	$\frac{3 {(25)}^{\frac{1}{2}}}{2}$
235396	Evaluate	(2^2)/(2^3)*2^5	$\frac{2^{2}}{2^{3}} \cdot 2^{5}$
235397	Write as a Single Logarithm	2( log base 3 of 20- log base 3 of 4)+0.5 log base 3 of 4	$2 (\log_{3} (20) - \log_{3} (4)) + 0.5 \log_{3} (4)$
235398	Describe the Transformation	f(x)=1.4^x-1 , g(x)=-1.4^x+6	$f (x) = {1.4}^{x} - 1$ , $g (x) = - {1.4}^{x} + 6$
235399	Solve the Rational Equation for x	square root of x+8 = square root of 3x+8	$\sqrt{x + 8} = \sqrt{3 x + 8}$
235400	Evaluate	-2/3(6x-12)<1/2(8-4x)	$- \frac{2}{3} (6 x - 12) < \frac{1}{2} (8 - 4 x)$