Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194901	Solve for x	-(-6x+9)-3/4x=-x-5/2(-4x+4)	$- (- 6 x + 9) - \frac{3}{4} x = - x - \frac{5}{2} (- 4 x + 4)$
194902	Solve for x	3^(6x+2)=1	$3^{6 x + 2} = 1$
194903	Solve Using the Square Root Property	2(5-5x^2)=5	$2 (5 - 5 x^{2}) = 5$
194904	Solve for x	2/x=9/(x-3)	$\frac{2}{x} = \frac{9}{x - 3}$
194905	Determine the Possible Number of Real Roots	2x^5-3x^4+8x^3+3x^2-8x+12=0	$2 x^{5} - 3 x^{4} + 8 x^{3} + 3 x^{2} - 8 x + 12 = 0$
194906	Find the Inverse	g(x)=2+2/5x	$g (x) = 2 + \frac{2}{5} x$
194907	Solve for w	-5-3w=7w	$- 5 - 3 w = 7 w$
194908	Simplify	(6+10 square root of 3)/( square root of 3-1)	$\frac{6 + 10 \sqrt{3}}{\sqrt{3} - 1}$
194909	Solve for x	6(x+2)-4x+6=36	$6 (x + 2) - 4 x + 6 = 36$
194910	Find the Roots (Zeros)	f(x)=(x+3)(x+1)^2(x-1)	$f (x) = (x + 3) {(x + 1)}^{2} (x - 1)$
194911	Find the Domain and Range	f(x) = log base 1/3 of x-2	$f (x) = \log_{\frac{1}{3}} (x - 2)$
194912	Find the Product	square root of 5x^8y^2* square root of 10x^3* square root of 12y	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}$
194913	Solve the Inequality for x	-3/(x+7)<=-4/(x+8)	$- \frac{3}{x + 7} \leq - \frac{4}{x + 8}$
194914	Graph	p(x)=(x-1)(2x+7)(x+1)^2	$p (x) = (x - 1) (2 x + 7) {(x + 1)}^{2}$
194915	Write in Standard Form	( square root of -2)^6	${(\sqrt{- 2})}^{6}$
194916	Find the LCD	3/4 and 5/6	$\frac{3}{4}$ and $\frac{5}{6}$
194917	Solve for m	m^4=625	$m^{4} = 625$
194918	Evaluate	(x-3/2)^2	${(x - \frac{3}{2})}^{2}$
194919	Write the Fraction in Simplest Form	arcsin(sin((5pi)/7))	$\arcsin (\sin (\frac{5 π}{7}))$
194920	Graph	2x-(6x+7)>-19	$2 x - (6 x + 7) > - 19$
194921	Describe the Transformation	f(x)=-(x+3)^2+1/4	$f (x) = - {(x + 3)}^{2} + \frac{1}{4}$
194922	Multiply	x*(-x^2)	$x \cdot (- x^{2})$
194923	Simplify	x-(x^3)/(x^2+y)	$x - \frac{x^{3}}{x^{2} + y}$
194924	Graph Using a Table of Values	f(x)=-3^x+1	$f (x) = - 3^{x} + 1$
194925	Solve for x	22^11x^2+22^11=0	$22^{11} x^{2} + 22^{11} = 0$
194926	Factor by Grouping	216x^3-64	$216 x^{3} - 64$
194927	Graph	-2x+1=-x^2+4	$- 2 x + 1 = - x^{2} + 4$
194928	Solve the System of Inequalities	-3x+5<=2 or 2x+9<3	$- 3 x + 5 \leq 2$ or $2 x + 9 < 3$
194929	Find f(g(x))	f(x)=x+8 and g(x)=x-8	$f (x) = x + 8$ and $g (x) = x - 8$
194930	Find All Complex Solutions	x^4-10x^2=-9	$x^{4} - 10 x^{2} = - 9$
194931	Combine Like Terms	(9x^2-8)-(-4x^2-5x)	$(9 x^{2} - 8) - (- 4 x^{2} - 5 x)$
194932	Evaluate	(2-2)/(2^2-4)	$\frac{2 - 2}{2^{2} - 4}$
194933	Solve for x	-3x-(-5/2x+1)=-9-(3x+1/2)	$- 3 x - (- \frac{5}{2} x + 1) = - 9 - (3 x + \frac{1}{2})$
194934	Solve for k	(2k-3)/(k+9)=3/5	$\frac{2 k - 3}{k + 9} = \frac{3}{5}$
194935	Solve for m	4m-t=m ; for m	$4 m - t = m$ ; for $m$
194936	Solve for x	(5x)/(x+1)=4-5/(x+1)	$\frac{5 x}{x + 1} = 4 - \frac{5}{x + 1}$
194937	Find the Exact Value	pi-pi/2	$π - \frac{π}{2}$
194938	Simplify	((x^2-4)/(x+3))÷((x^2-4x+4)/(4x+12))	$\frac{x^{2} - 4}{x + 3} \div \frac{x^{2} - 4 x + 4}{4 x + 12}$
194939	Simplify	(x^2)/(x+8)*(2x^2)/(2x+16)	$\frac{x^{2}}{x + 8} \cdot \frac{2 x^{2}}{2 x + 16}$
194940	Find the x and y Intercepts	y=x-1/2	$y = x - \frac{1}{2}$
194941	Find the Exact Value	pi/6+2pi	$\frac{π}{6} + 2 π$
194942	Simplify	(-6+- square root of 6^2-43-9)/(2(3))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot - 9}}{2 (3)}$
194943	Solve for x	5/8x-1>=9	$\frac{5}{8} x - 1 \geq 9$
194944	Simplify	sin(x)^6+cos(x)^6	$\sin^{6} (x) + \cos^{6} (x)$
194945	Solve for x	kx+3x=4 for x	$k x + 3 x = 4$ for $x$
194946	Find the End Behavior	f(x)=-4800+1340x^2-35x^4-210x^3+760x+5x^5	$f (x) = - 4800 + 1340 x^{2} - 35 x^{4} - 210 x^{3} + 760 x + 5 x^{5}$
194947	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^2-2x+9-x^4-x^3	$f (x) = - x^{2} - 2 x + 9 - x^{4} - x^{3}$
194948	Simplify	((4^7)/(5^2))^3	${(\frac{4^{7}}{5^{2}})}^{3}$
194949	Solve for x	3/5x+1/5=2	$\frac{3}{5} x + \frac{1}{5} = 2$
194950	Convert to Interval Notation	-2x+3y>=3	$- 2 x + 3 y \geq 3$
194951	Solve for x	(2x+3)-(4x-8)=7	$(2 x + 3) - (4 x - 8) = 7$
194952	Solve the Inequality for x	3/4x+5>11	$\frac{3}{4} x + 5 > 11$
194953	Solve the System of Equations	y=3/4x+2 5x+4y=-24	$y = \frac{3}{4} x + 2$ $5 x + 4 y = - 24$
194954	Simplify	x/2+2x	$\frac{x}{2} + 2 x$
194955	Solve for x	8>=3+x	$8 \geq 3 + x$
194956	Solve for x	3x+2x+x=180	$3 x + 2 x + x = 180$
194957	Solve for m	4\|m\|=-20	$4 \| m \| = - 20$
194958	Solve the Absolute Value Inequality for x	5\|x-7\|+8>=48	$5 \| x - 7 \| + 8 \geq 48$
194959	Graph Using a Table of Values	g(x)=(1/4)^x-2	$g (x) = {(\frac{1}{4})}^{x} - 2$
194960	Simplify	(4+1/x)/(1-1/x)	$\frac{4 + \frac{1}{x}}{1 - \frac{1}{x}}$
194961	Solve the System of Equations	x+y+z=4 4x+1/2y-3z=30 -2x-6y+5z=-7	$x + y + z = 4$ $4 x + \frac{1}{2} y - 3 z = 30$ $- 2 x - 6 y + 5 z = - 7$
194962	Solve for p	5p-3>=-4p-7	$5 p - 3 \geq - 4 p - 7$
194963	Solve for x	(x-4)/x=-5/15	$\frac{x - 4}{x} = - \frac{5}{15}$
194964	Simplify	((c^2-c-20)/(c^2-6c+5))÷((c^2-16)/(3c-3))	$\frac{c^{2} - c - 20}{c^{2} - 6 c + 5} \div \frac{c^{2} - 16}{3 c - 3}$
194965	Find the Exact Value	cos((7pi)/12)cos(pi/3)+sin((7pi)/12)sin(pi/3)	$\cos (\frac{7 π}{12}) \cos (\frac{π}{3}) + \sin (\frac{7 π}{12}) \sin (\frac{π}{3})$
194966	Simplify	-5/12-(-9/3)	$- \frac{5}{12} - (- \frac{9}{3})$
194967	Find the Axis of Symmetry	((x+3)^2)/9-((y-2)^2)/4=1	$\frac{{(x + 3)}^{2}}{9} - \frac{{(y - 2)}^{2}}{4} = 1$
194968	Solve the Inequality for x	x/(x^2+1)<=1	$\frac{x}{x^{2} + 1} \leq 1$
194969	Graph	R(x)=(x^2+x-12)/(x^2-x-6)	$R (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
194970	Evaluate	(3^2)	$(3^{2})$
194971	Find the Quadratic Equation Given the Roots	2 and -3	$2$ and $- 3$
194972	Simplify	( square root of 3-1)/(2 square root of 2)	$\frac{\sqrt{3} - 1}{2 \sqrt{2}}$
194973	Simplify	-10(-10x^2+x)	$- 10 (- 10 x^{2} + x)$
194974	Solve for x	6(2x+4)^2=(2x+4)+2	$6 {(2 x + 4)}^{2} = (2 x + 4) + 2$
194975	Simplify	(x+3)/(x-2)+(3x-8)/(x-2)	$\frac{x + 3}{x - 2} + \frac{3 x - 8}{x - 2}$
194976	Solve for x	3(x+5)=5(2x-6)+3	$3 (x + 5) = 5 (2 x - 6) + 3$
194977	Solve for x	natural log of x-7/2+ natural log of 14=2 natural log of x	$\ln (x - \frac{7}{2}) + \ln (14) = 2 \ln (x)$
194978	Solve for x	(x+1)/(5x)-1/x=1	$\frac{x + 1}{5 x} - \frac{1}{x} = 1$
194979	Simplify	1-3/2	$1 - \frac{3}{2}$
194980	Evaluate the Function	f(3)=5x^2-7(4x+3)	$f (3) = 5 x^{2} - 7 (4 x + 3)$
194981	Solve for a	x=2a-b^2	$x = 2 a - b^{2}$
194982	Find the LCD	(5x)/(x-6) and (9x)/(x-7)	$\frac{5 x}{x - 6}$ and $\frac{9 x}{x - 7}$
194983	Graph	y>=2x-1 y<4x	$y \geq 2 x - 1$ $y < 4 x$
194984	Solve for x	-9/4=2(1/2x+2)-3x	$- \frac{9}{4} = 2 (\frac{1}{2} x + 2) - 3 x$
194985	Simplify	-3<x-10	$- 3 < x - 10$
194986	Identify the Sequence	1/2 , 1 , 3/2 , 2	$\frac{1}{2}$ , $1$ , $\frac{3}{2}$ , $2$
194987	Solve for a	4(2a+3)=-3(a-1)+31	$4 (2 a + 3) = - 3 (a - 1) + 31$
194988	Find the Domain and Range	x/2	$\frac{x}{2}$
194989	Solve for x	square root of x^2-7=-2	$\sqrt{x^{2} - 7} = - 2$
194990	Factor by Grouping	25m^5-45m^3n-45mn^7	$25 m^{5} - 45 m^{3} n - 45 m n^{7}$
194991	Solve for x	x/(2/3)=6	$\frac{x}{\frac{2}{3}} = 6$
194992	Evaluate	3/(4(1)^(1/4))	$\frac{3}{4 {(1)}^{\frac{1}{4}}}$
194993	Simplify	(1+1/(x-1))/(1+1/(x^2-1))	$\frac{1 + \frac{1}{x - 1}}{1 + \frac{1}{x^{2} - 1}}$
194994	Solve for a	(5 square root of a)/4=20	$\frac{5 \sqrt{a}}{4} = 20$
194995	Solve for x	log base -2x-3 of 3x^2+x-19=2	$\log_{- 2 x - 3} (3 x^{2} + x - 19) = 2$
194996	Evaluate	f(-8)=(11(x-24))/2	$f (- 8) = \frac{11 (x - 24)}{2}$
194997	Evaluate	40=3(2)^x-5	$40 = 3 {(2)}^{x} - 5$
194998	Solve for x	2x^2-3x-20=x^2+34	$2 x^{2} - 3 x - 20 = x^{2} + 34$
194999	Find the Roots (Zeros)	y=(3x^2-12)/(8x^2-18x+4)	$y = \frac{3 x^{2} - 12}{8 x^{2} - 18 x + 4}$
195000	Evaluate	(1/2)/(1-1/2)	$\frac{\frac{1}{2}}{1 - \frac{1}{2}}$