Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194901	Find the LCD	3/4 and 5/6	$\frac{3}{4}$ and $\frac{5}{6}$
194902	Solve for m	m^4=625	$m^{4} = 625$
194903	Evaluate	(x-3/2)^2	${(x - \frac{3}{2})}^{2}$
194904	Write the Fraction in Simplest Form	arcsin(sin((5pi)/7))	$\arcsin (\sin (\frac{5 π}{7}))$
194905	Graph	2x-(6x+7)>-19	$2 x - (6 x + 7) > - 19$
194906	Describe the Transformation	f(x)=-(x+3)^2+1/4	$f (x) = - {(x + 3)}^{2} + \frac{1}{4}$
194907	Multiply	x*(-x^2)	$x \cdot (- x^{2})$
194908	Simplify	x-(x^3)/(x^2+y)	$x - \frac{x^{3}}{x^{2} + y}$
194909	Graph Using a Table of Values	f(x)=-3^x+1	$f (x) = - 3^{x} + 1$
194910	Solve for x	22^11x^2+22^11=0	$22^{11} x^{2} + 22^{11} = 0$
194911	Factor by Grouping	216x^3-64	$216 x^{3} - 64$
194912	Graph	-2x+1=-x^2+4	$- 2 x + 1 = - x^{2} + 4$
194913	Solve the System of Inequalities	-3x+5<=2 or 2x+9<3	$- 3 x + 5 \leq 2$ or $2 x + 9 < 3$
194914	Find f(g(x))	f(x)=x+8 and g(x)=x-8	$f (x) = x + 8$ and $g (x) = x - 8$
194915	Find All Complex Solutions	x^4-10x^2=-9	$x^{4} - 10 x^{2} = - 9$
194916	Combine Like Terms	(9x^2-8)-(-4x^2-5x)	$(9 x^{2} - 8) - (- 4 x^{2} - 5 x)$
194917	Evaluate	(2-2)/(2^2-4)	$\frac{2 - 2}{2^{2} - 4}$
194918	Solve for x	-3x-(-5/2x+1)=-9-(3x+1/2)	$- 3 x - (- \frac{5}{2} x + 1) = - 9 - (3 x + \frac{1}{2})$
194919	Solve for k	(2k-3)/(k+9)=3/5	$\frac{2 k - 3}{k + 9} = \frac{3}{5}$
194920	Solve for m	4m-t=m ; for m	$4 m - t = m$ ; for $m$
194921	Solve for x	(5x)/(x+1)=4-5/(x+1)	$\frac{5 x}{x + 1} = 4 - \frac{5}{x + 1}$
194922	Find the Exact Value	pi-pi/2	$π - \frac{π}{2}$
194923	Simplify	((x^2-4)/(x+3))÷((x^2-4x+4)/(4x+12))	$\frac{x^{2} - 4}{x + 3} \div \frac{x^{2} - 4 x + 4}{4 x + 12}$
194924	Simplify	(x^2)/(x+8)*(2x^2)/(2x+16)	$\frac{x^{2}}{x + 8} \cdot \frac{2 x^{2}}{2 x + 16}$
194925	Find the x and y Intercepts	y=x-1/2	$y = x - \frac{1}{2}$
194926	Find the Exact Value	pi/6+2pi	$\frac{π}{6} + 2 π$
194927	Simplify	(-6+- square root of 6^2-43-9)/(2(3))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot - 9}}{2 (3)}$
194928	Solve for x	5/8x-1>=9	$\frac{5}{8} x - 1 \geq 9$
194929	Simplify	sin(x)^6+cos(x)^6	$\sin^{6} (x) + \cos^{6} (x)$
194930	Solve for x	kx+3x=4 for x	$k x + 3 x = 4$ for $x$
194931	Find the End Behavior	f(x)=-4800+1340x^2-35x^4-210x^3+760x+5x^5	$f (x) = - 4800 + 1340 x^{2} - 35 x^{4} - 210 x^{3} + 760 x + 5 x^{5}$
194932	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^2-2x+9-x^4-x^3	$f (x) = - x^{2} - 2 x + 9 - x^{4} - x^{3}$
194933	Simplify	((4^7)/(5^2))^3	${(\frac{4^{7}}{5^{2}})}^{3}$
194934	Solve for x	3/5x+1/5=2	$\frac{3}{5} x + \frac{1}{5} = 2$
194935	Convert to Interval Notation	-2x+3y>=3	$- 2 x + 3 y \geq 3$
194936	Solve for x	(2x+3)-(4x-8)=7	$(2 x + 3) - (4 x - 8) = 7$
194937	Solve the Inequality for x	3/4x+5>11	$\frac{3}{4} x + 5 > 11$
194938	Solve the System of Equations	y=3/4x+2 5x+4y=-24	$y = \frac{3}{4} x + 2$ $5 x + 4 y = - 24$
194939	Simplify	x/2+2x	$\frac{x}{2} + 2 x$
194940	Solve for x	8>=3+x	$8 \geq 3 + x$
194941	Solve for x	3x+2x+x=180	$3 x + 2 x + x = 180$
194942	Solve for m	4\|m\|=-20	$4 \| m \| = - 20$
194943	Solve the Absolute Value Inequality for x	5\|x-7\|+8>=48	$5 \| x - 7 \| + 8 \geq 48$
194944	Graph Using a Table of Values	g(x)=(1/4)^x-2	$g (x) = {(\frac{1}{4})}^{x} - 2$
194945	Simplify	(4+1/x)/(1-1/x)	$\frac{4 + \frac{1}{x}}{1 - \frac{1}{x}}$
194946	Solve the System of Equations	x+y+z=4 4x+1/2y-3z=30 -2x-6y+5z=-7	$x + y + z = 4$ $4 x + \frac{1}{2} y - 3 z = 30$ $- 2 x - 6 y + 5 z = - 7$
194947	Solve for p	5p-3>=-4p-7	$5 p - 3 \geq - 4 p - 7$
194948	Solve for x	(x-4)/x=-5/15	$\frac{x - 4}{x} = - \frac{5}{15}$
194949	Simplify	((c^2-c-20)/(c^2-6c+5))÷((c^2-16)/(3c-3))	$\frac{c^{2} - c - 20}{c^{2} - 6 c + 5} \div \frac{c^{2} - 16}{3 c - 3}$
194950	Find the Exact Value	cos((7pi)/12)cos(pi/3)+sin((7pi)/12)sin(pi/3)	$\cos (\frac{7 π}{12}) \cos (\frac{π}{3}) + \sin (\frac{7 π}{12}) \sin (\frac{π}{3})$
194951	Simplify	-5/12-(-9/3)	$- \frac{5}{12} - (- \frac{9}{3})$
194952	Find the Axis of Symmetry	((x+3)^2)/9-((y-2)^2)/4=1	$\frac{{(x + 3)}^{2}}{9} - \frac{{(y - 2)}^{2}}{4} = 1$
194953	Solve the Inequality for x	x/(x^2+1)<=1	$\frac{x}{x^{2} + 1} \leq 1$
194954	Graph	R(x)=(x^2+x-12)/(x^2-x-6)	$R (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
194955	Evaluate	(3^2)	$(3^{2})$
194956	Find the Quadratic Equation Given the Roots	2 and -3	$2$ and $- 3$
194957	Simplify	( square root of 3-1)/(2 square root of 2)	$\frac{\sqrt{3} - 1}{2 \sqrt{2}}$
194958	Simplify	-10(-10x^2+x)	$- 10 (- 10 x^{2} + x)$
194959	Solve for x	6(2x+4)^2=(2x+4)+2	$6 {(2 x + 4)}^{2} = (2 x + 4) + 2$
194960	Simplify	(x+3)/(x-2)+(3x-8)/(x-2)	$\frac{x + 3}{x - 2} + \frac{3 x - 8}{x - 2}$
194961	Solve for x	3(x+5)=5(2x-6)+3	$3 (x + 5) = 5 (2 x - 6) + 3$
194962	Solve for x	natural log of x-7/2+ natural log of 14=2 natural log of x	$\ln (x - \frac{7}{2}) + \ln (14) = 2 \ln (x)$
194963	Solve for x	(x+1)/(5x)-1/x=1	$\frac{x + 1}{5 x} - \frac{1}{x} = 1$
194964	Simplify	1-3/2	$1 - \frac{3}{2}$
194965	Evaluate the Function	f(3)=5x^2-7(4x+3)	$f (3) = 5 x^{2} - 7 (4 x + 3)$
194966	Solve for a	x=2a-b^2	$x = 2 a - b^{2}$
194967	Find the LCD	(5x)/(x-6) and (9x)/(x-7)	$\frac{5 x}{x - 6}$ and $\frac{9 x}{x - 7}$
194968	Graph	y>=2x-1 y<4x	$y \geq 2 x - 1$ $y < 4 x$
194969	Solve for x	-9/4=2(1/2x+2)-3x	$- \frac{9}{4} = 2 (\frac{1}{2} x + 2) - 3 x$
194970	Simplify	-3<x-10	$- 3 < x - 10$
194971	Identify the Sequence	1/2 , 1 , 3/2 , 2	$\frac{1}{2}$ , $1$ , $\frac{3}{2}$ , $2$
194972	Solve for a	4(2a+3)=-3(a-1)+31	$4 (2 a + 3) = - 3 (a - 1) + 31$
194973	Find the Domain and Range	x/2	$\frac{x}{2}$
194974	Solve for x	square root of x^2-7=-2	$\sqrt{x^{2} - 7} = - 2$
194975	Factor by Grouping	25m^5-45m^3n-45mn^7	$25 m^{5} - 45 m^{3} n - 45 m n^{7}$
194976	Solve for x	x/(2/3)=6	$\frac{x}{\frac{2}{3}} = 6$
194977	Evaluate	3/(4(1)^(1/4))	$\frac{3}{4 {(1)}^{\frac{1}{4}}}$
194978	Simplify	(1+1/(x-1))/(1+1/(x^2-1))	$\frac{1 + \frac{1}{x - 1}}{1 + \frac{1}{x^{2} - 1}}$
194979	Solve for a	(5 square root of a)/4=20	$\frac{5 \sqrt{a}}{4} = 20$
194980	Solve for x	log base -2x-3 of 3x^2+x-19=2	$\log_{- 2 x - 3} (3 x^{2} + x - 19) = 2$
194981	Evaluate	f(-8)=(11(x-24))/2	$f (- 8) = \frac{11 (x - 24)}{2}$
194982	Evaluate	40=3(2)^x-5	$40 = 3 {(2)}^{x} - 5$
194983	Solve for x	2x^2-3x-20=x^2+34	$2 x^{2} - 3 x - 20 = x^{2} + 34$
194984	Find the Roots (Zeros)	y=(3x^2-12)/(8x^2-18x+4)	$y = \frac{3 x^{2} - 12}{8 x^{2} - 18 x + 4}$
194985	Evaluate	(1/2)/(1-1/2)	$\frac{\frac{1}{2}}{1 - \frac{1}{2}}$
194986	Combine Like Terms	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
194987	Solve for g	8-2g-2+4g=20	$8 - 2 g - 2 + 4 g = 20$
194988	Simplify	5x^4y^3*x^2y	$5 x^{4} y^{3} \cdot x^{2} y$
194989	Find the x and y Intercepts	f(x)=(18-3x-x^2)/(x^2-9)	$f (x) = \frac{18 - 3 x - x^{2}}{x^{2} - 9}$
194990	Simplify	( square root of 3)/(-1- square root of 5)	$\frac{\sqrt{3}}{- 1 - \sqrt{5}}$
194991	Write in Exponential Form	cube root of y square root of y	$\sqrt[3]{y \sqrt{y}}$
194992	Evaluate	square root of -8	$\sqrt[2]{- 8}$
194993	Find the Product	(6-d)(d^2-5+3d)	$(6 - d) (d^{2} - 5 + 3 d)$
194994	Graph	f(x)=(2x-1)/(x^2+1)	$f (x) = \frac{2 x - 1}{x^{2} + 1}$
194995	Combine Like Terms	-6m+8n+5-m-n-6m-11	$- 6 m + 8 n + 5 - m - n - 6 m - 11$
194996	Factor	x square root of x-1	$x \sqrt{x} - 1$
194997	Divide	(-x)÷(-1)	$- x \div (- 1)$
194998	Solve for x	4sin(x)=2sin(x)+ square root of 2	$4 \sin (x) = 2 \sin (x) + \sqrt{2}$
194999	Solve for y	y/4+2-(y+1)/6>=(y+5)/9	$\frac{y}{4} + 2 - \frac{y + 1}{6} \geq \frac{y + 5}{9}$
195000	Solve for x	-14+3(x+10)=7(2x+4)+x	$- 14 + 3 (x + 10) = 7 (2 x + 4) + x$