Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194001	Simplify	x-(x^2)/(x+y)	$x - \frac{x^{2}}{x + y}$
194002	Solve by Graphing	y=2x^2+3x+1 y=-2x+1	$y = 2 x^{2} + 3 x + 1$ $y = - 2 x + 1$
194003	Solve for q	22q+4q=-26	$22 q + 4 q = - 26$
194004	Solve for x	(3/4)^(x^2+5x)>(4/3)^(3x)	${(\frac{3}{4})}^{x^{2} + 5 x} > {(\frac{4}{3})}^{3 x}$
194005	Solve the Absolute Value Inequality for x	(4\|x+7\|)/3<8	$\frac{4 \| x + 7 \|}{3} < 8$
194006	Solve for x	5x-4(5/4x-2/5)=-4/5+9x	$5 x - 4 (\frac{5}{4} x - \frac{2}{5}) = - \frac{4}{5} + 9 x$
194007	Solve for G	F=-Gm/(r^2)	$F = - \frac{G m}{r^{2}}$
194008	Solve for x	(bx)/(a+1)=c	$\frac{b x}{a + 1} = c$
194009	Evaluate	1/2 square root of 3*1/2 square root of 3	$\frac{1}{2} \sqrt{3} \cdot \frac{1}{2} \sqrt{3}$
194010	Solve for x	(x-4)^(4x)=(x-4)^(1+3x)	${(x - 4)}^{4 x} = {(x - 4)}^{1 + 3 x}$
194011	Simplify	(x+2 square root of 3)(x-2 square root of 3)	$(x + 2 \sqrt{3}) (x - 2 \sqrt{3})$
194012	Find the Exact Value	1+1/4	$1 + \frac{1}{4}$
194013	Convert to Interval Notation	-3x-2<0 or x-2<-5	$- 3 x - 2 < 0$ or $x - 2 < - 5$
194014	Solve the Inequality for x	(x-2)/(3-x)>0	$\frac{x - 2}{3 - x} > 0$
194015	Solve for h	h+\|-8\|=15	$h + \| - 8 \| = 15$
194016	Solve for x	4/x+1/(2x)=7	$\frac{4}{x} + \frac{1}{2 x} = 7$
194017	Find the End Behavior	f(x)=-70x^4-5040-190x^3+1390x^2+300x+10x^5	$f (x) = - 70 x^{4} - 5040 - 190 x^{3} + 1390 x^{2} + 300 x + 10 x^{5}$
194018	Simplify	(2+ square root of 6)/( square root of 3)	$\frac{2 + \sqrt{6}}{\sqrt{3}}$
194019	Solve for x	log base 2 of x^2-4- log base 2 of 2x+4=3	$\log_{2} (x^{2} - 4) - \log_{2} (2 x + 4) = 3$
194020	Evaluate	30% of 90	$30 %$ of $90$
194021	Evaluate	45% of 60	$45 %$ of $60$
194022	Simplify	(4/3x^2y^3)^3(3/(16x^5))^2	${(\frac{4}{3} x^{2} y^{3})}^{3} {(\frac{3}{16 x^{5}})}^{2}$
194023	Solve the Inequality for x	4x^4-25x^2+36<=0	$4 x^{4} - 25 x^{2} + 36 \leq 0$
194024	Simplify	(x^4*y^4)^3	${(x^{4} \cdot y^{4})}^{3}$
194025	Find the Exact Value	25^(3/2)	$25^{\frac{3}{2}}$
194026	Graph	1/2(x+1)(x-1)^2(x-2)	$\frac{1}{2} (x + 1) {(x - 1)}^{2} (x - 2)$
194027	Find the Exact Value	cot(-405 degrees )	$\cot (- 405 °)$
194028	Simplify	(2f^2+8f+9)+(2f^2+3f^3)	$(2 f^{2} + 8 f + 9) + (2 f^{2} + 3 f^{3})$
194029	Solve the Inequality for x	(x+6)(x-7)(x^2+4)>0	$(x + 6) (x - 7) (x^{2} + 4) > 0$
194030	Solve for g	g/5+5/6=6	$\frac{g}{5} + \frac{5}{6} = 6$
194031	Evaluate the Function	F(-1)=-1^2	$F (- 1) = - 1^{2}$
194032	Solve the System of Equations	y=6x+3 y=x^2+x-3	$y = 6 x + 3$ $y = x^{2} + x - 3$
194033	Solve the Inequality for x	(-10+x)/4+5>=(7x-5)/3	$\frac{- 10 + x}{4} + 5 \geq \frac{7 x - 5}{3}$
194034	Find the Focal Parameter	-1/40x^2=y	$- \frac{1}{40} x^{2} = y$
194035	Simplify	(8 square root of 3)/3*2	$\frac{8 \sqrt{3}}{3} \cdot 2$
194036	Solve the Inequality for x	5x-2(x+3)<=x	$5 x - 2 (x + 3) \leq x$
194037	Find the Distance Between Two Points	(-1,4) and (4,-8)	$(- 1, 4)$ and $(4, - 8)$
194038	Simplify	3/(2x^2-x-3)-2/(x^2-5x-6)	$\frac{3}{2 x^{2} - x - 3} - \frac{2}{x^{2} - 5 x - 6}$
194039	Solve for x	(x+a)/(a+1)=1	$\frac{x + a}{a + 1} = 1$
194040	Find the Roots (Zeros)	f(x)=-(x-1)(x+1)(x-2)^2	$f (x) = - (x - 1) (x + 1) {(x - 2)}^{2}$
194041	Solve for a	P=a-b-2	$P = a - b - 2$
194042	Solve the Inequality for x	x+7>(-2)	$x + 7 > (- 2)$
194043	Simplify	2 square root of 7(3 square root of 12+5 square root of 8)	$2 \sqrt{7} (3 \sqrt{12} + 5 \sqrt{8})$
194044	Solve for x	-(-2x+7)-x=-(2x+3/4)+3/2x	$- (- 2 x + 7) - x = - (2 x + \frac{3}{4}) + \frac{3}{2} x$
194045	Expand the Logarithmic Expression	natural log of y square root of y/(1-y)	$\ln (y \sqrt{\frac{y}{1 - y}})$
194046	Solve for x	4x^2+x^3=10+7x	$4 x^{2} + x^{3} = 10 + 7 x$
194047	Graph	f(x)=(x^2+2x+1)/x	$f (x) = \frac{x^{2} + 2 x + 1}{x}$
194048	Combine Like Terms	(8x+5)+(-x^2-8)	$(8 x + 5) + (- x^{2} - 8)$
194049	Evaluate	1/(4pi(8.85*10^-12))	$\frac{1}{4 π (8.85 \cdot 10^{- 12})}$
194050	Find the Equation Using Two Points	f(-3)=5 and f(6)=-2	$f (- 3) = 5$ and $f (6) = - 2$
194051	Identify the Conic	2x^2+87x-25=y^2+4y	$2 x^{2} + 87 x - 25 = y^{2} + 4 y$
194052	Find the Domain and Range	y=-x^3+10x^2+x-3	$y = - x^{3} + 10 x^{2} + x - 3$
194053	Evaluate the Function	f(-2)=(1/3)^-2	$f (- 2) = {(\frac{1}{3})}^{- 2}$
194054	Simplify	5/( square root of 3-1)	$\frac{5}{\sqrt{3} - 1}$
194055	Solve the Inequality for x	10x-11>=8x-3-6x	$10 x - 11 \geq 8 x - 3 - 6 x$
194056	Solve for c	8c=5c+21	$8 c = 5 c + 21$
194057	Simplify	(x^2-1/x)(x^3+2x)	$(x^{2} - \frac{1}{x}) (x^{3} + 2 x)$
194058	Simplify	((3xy)^2)/(x^2)	$\frac{{(3 x y)}^{2}}{x^{2}}$
194059	Convert to a Decimal	31 mil millones	$31$ mil millones
194060	Find the Directrix	(y-3)^2=-12x ?	${(y - 3)}^{2} = - 12 x$ ?
194061	Solve the Inequality for n	-3n-4>4n+10	$- 3 n - 4 > 4 n + 10$
194062	Subtract	6/10-1/5	$\frac{6}{10} - \frac{1}{5}$
194063	Simplify	((-3ab^2)/(4bc^4))^3	${(\frac{- 3 a b^{2}}{4 b c^{4}})}^{3}$
194064	Find the Roots (Zeros)	x^3-2x	$x^{3} - 2 x$
194065	Solve for c	10c+7>=5c+5	$10 c + 7 \geq 5 c + 5$
194066	Graph	16<=x^2+y^2<=25	$16 \leq x^{2} + y^{2} \leq 25$
194067	Find the Inverse	y=x/(x-2)	$y = \frac{x}{x - 2}$
194068	Graph Using a Table of Values	f(x)=e^(2x)	$f (x) = e^{2 x}$
194069	Solve for x	0.8x+5=0.2(40-x)	$0.8 x + 5 = 0.2 (40 - x)$
194070	Solve the Absolute Value Inequality for y	\|y-4\|>=8	$\| y - 4 \| \geq 8$
194071	Simplify	(( square root of 3)/2)/(-1/2)	$\frac{\frac{\sqrt{3}}{2}}{\frac{- 1}{2}}$
194072	Simplify	1/2a+1/3b+2a-3b-3/4a-1/6b+3/4-1/2	$\frac{1}{2} a + \frac{1}{3} b + 2 a - 3 b - \frac{3}{4} a - \frac{1}{6} b + \frac{3}{4} - \frac{1}{2}$
194073	Solve for x	1-cos(x)=0	$1 - \cos (x) = 0$
194074	Write the Fraction in Simplest Form	7/12-5/12	$\frac{7}{12} - \frac{5}{12}$
194075	Simplify	((9x^2-1)/(12x^2-12x))÷((9x^2+12x+3)/(3x^2-6x+3))	$\frac{9 x^{2} - 1}{12 x^{2} - 12 x} \div \frac{9 x^{2} + 12 x + 3}{3 x^{2} - 6 x + 3}$
194076	Find the Excluded Values	((x^2-3x-40)/(x^2+8x-20))÷((x^2+13x+40)/(x^2+12x+20))	$\frac{x^{2} - 3 x - 40}{x^{2} + 8 x - 20} \div \frac{x^{2} + 13 x + 40}{x^{2} + 12 x + 20}$
194077	Evaluate	arccsc((2 square root of 3)/3)	$arccsc (\frac{2 \sqrt{3}}{3})$
194078	Solve the Rational Equation for x	1/(x+1)-2/(x+2)=1	$\frac{1}{x + 1} - \frac{2}{x + 2} = 1$
194079	Graph	Graph y=-1/3x+5	Graph $y = - \frac{1}{3} x + 5$
194080	Solve the Inequality for n	2n>14	$2 n > 14$
194081	Simplify	(-3x+5y)+(-5x+5y)	$(- 3 x + 5 y) + (- 5 x + 5 y)$
194082	Multiply	(2x+5)(x-2)(3x+4)	$(2 x + 5) (x - 2) (3 x + 4)$
194083	Simplify	2(2+4i)(-3+i)	$2 (2 + 4 i) (- 3 + i)$
194084	Graph	y<-1/3x+2 y<=2x-3	$y < - \frac{1}{3} x + 2$ $y \leq 2 x - 3$
194085	Solve for p	E=(o+4m+p)/6	$E = \frac{o + 4 m + p}{6}$
194086	Graph	(x-7)(x-2)<=0	$(x - 7) (x - 2) \leq 0$
194087	Solve the Inequality for x	(x-3)(x^2+1)(x+4)>=0	$(x - 3) (x^{2} + 1) (x + 4) \geq 0$
194088	Find the x and y Intercepts	F(x)=(x+2)/(x^2-6x-16)	$F (x) = \frac{x + 2}{x^{2} - 6 x - 16}$
194089	Combine Like Terms	(6x^2-5x)-(10x^2+8x-8)	$(6 x^{2} - 5 x) - (10 x^{2} + 8 x - 8)$
194090	Evaluate	(4 1/2)(-3 3/10)	$(4 \frac{1}{2}) (- 3 \frac{3}{10})$
194091	Graph	f(x)=1/8(x+4)(x+2)(x-2)	$f (x) = \frac{1}{8} (x + 4) (x + 2) (x - 2)$
194092	Convert to Interval Notation	x<=-11 or x>=4	$x \leq - 11$ or $x \geq 4$
194093	Solve for θ	cos(2theta)=0	$\cos (2 θ) = 0$
194094	Simplify	(sin(x)^2-cos(x)^2)/(sin(x)^2-sin(x)cos(x))	$\frac{\sin^{2} (x) - \cos^{2} (x)}{\sin^{2} (x) - \sin (x) \cos (x)}$
194095	Solve for x	(4x)/(x+1)+2/x=4	$\frac{4 x}{x + 1} + \frac{2}{x} = 4$
194096	Rationalize the Denominator	1/( square root of 3-2)	$\frac{1}{\sqrt{3} - 2}$
194097	Graph	x(x-4)^3	$x {(x - 4)}^{3}$
194098	Evaluate	(12+24)÷(12÷3)	$(12 + 24) \div (12 \div 3)$
194099	Graph Using a Table of Values	f(x)=x^5	$f (x) = x^{5}$
194100	Evaluate	((3-7)^2+11)/(\|-2\|+\|-1\|)	$\frac{{(3 - 7)}^{2} + 11}{\| - 2 \| + \| - 1 \|}$