Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26901	Solve for x	-1/6x-5=2/3x	$- \frac{1}{6} x - 5 = \frac{2}{3} x$
26902	Evaluate the Integral	integral of (-4x^-3-20x^-5) with respect to x	$\int (- 4 x^{- 3} - 20 x^{- 5}) d x$
26903	Solve the Inequality for x	\|x-4\|<=0	$\| x - 4 \| \leq 0$
26904	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+20x^2+15x+3 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 20 x^{2} + 15 x + 3$ is divided by $3 x + 1$
26905	Graph Using a Table of Values	f(x)=-3(3)^x+7	$f (x) = - 3 {(3)}^{x} + 7$
26906	Solve by Graphing	x-15=5 or 2x+5=1	$x - 15 = 5$ or $2 x + 5 = 1$
26907	Find dy/dx	4x+4y^2+x^2=0	$4 x + 4 y^{2} + x^{2} = 0$
26908	Arrange in Order	5.6 , 5.4 , 5.7 , 5 3/4	$5.6$ , $5.4$ , $5.7$ , $5 \frac{3}{4}$
26909	Evaluate the Limit	limit as x approaches -1 of (-5x^3+5x^2+2)/(4x-2)	$lim_{x \to - 1} \frac{- 5 x^{3} + 5 x^{2} + 2}{4 x - 2}$
26910	Evaluate the Limit	limit as x approaches 0 of (1-e^x)/( natural log of 2-e^x)	$lim_{x \to 0} \frac{1 - e^{x}}{\ln (2 - e^{x})}$
26911	Simplify	fifth root of 1/8 fifth root of 1/4	$\sqrt[5]{\frac{1}{8}} \sqrt[5]{\frac{1}{4}}$
26912	Find dy/dx	y=2sin(x)	$y = 2 \sin (x)$
26913	Solve the Inequality for g	\|(2g+3)/2\|>-7	$\| \frac{2 g + 3}{2} \| > - 7$
26914	Solve for x	(2x+3)^2-14x-21=-6	${(2 x + 3)}^{2} - 14 x - 21 = - 6$
26915	Solve the System of Equations	x=1 y=2	$x = 1$ $y = 2$
26916	Write in Standard Form	-2(3x+1)(x+2)(x-3)	$- 2 (3 x + 1) (x + 2) (x - 3)$
26917	Evaluate	( log base 2 of 5)	$(\log_{2} (5))$
26918	Expand the Trigonometric Expression	cos(6x)	$\cos (6 x)$
26919	Evaluate	4+8÷2*(6-3)	$4 + 8 \div 2 \times (6 - 3)$
26920	Graph Using a Table of Values	f(x)=-3(1/2)^(x+4)	$f (x) = - 3 {(\frac{1}{2})}^{x + 4}$
26921	Simplify	x^2x^-5x	$x^{2} \cdot x^{- 5} \cdot x$
26922	Find the Holes in the Graph	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
26923	Simplify	3^(3+6)	$3^{3 + 6}$
26924	Verify the Identity	a^2-b^2=(a+b)(a-b)	$a^{2} - b^{2} = (a + b) (a - b)$
26925	Solve for a	1/6(12a)^(1/3)=1	$\frac{1}{6} {(12 a)}^{\frac{1}{3}} = 1$
26926	Find the Asymptotes	(2(5x-7)(x-1))/(3x(3x-1))	$\frac{2 (5 x - 7) (x - 1)}{3 x (3 x - 1)}$
26927	Simplify	(7x^2)(x^5)(3x)	$(7 x^{2}) (x^{5}) (3 x)$
26928	Factor	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
26929	Find All Complex Solutions	x^4=-16	$x^{4} = - 16$
26930	Evaluate the Function	f(x)=1/(2^(x+2))+4	$f (x) = \frac{1}{2^{x + 2}} + 4$
26931	Write in Standard Form	f(x)=15x+5/3+2/3x^2	$f (x) = 15 x + \frac{5}{3} + \frac{2}{3} x^{2}$
26932	Evaluate the Integral	integral from 0 to 3 of (x-1)^2+2 with respect to x	$\int_{0}^{3} {(x - 1)}^{2} + 2 d x$
26933	Evaluate the Summation	7 sum from d=2 to 5 of d+2	$7 \sum_{d = 2}^{5} d + 2$
26934	Evaluate the Function	cos(theta)=-4/5 , theta in quadrant II	$\cos (θ) = - \frac{4}{5}$ , $θ$ in quadrant $I \cdot I$
26935	Solve for p	2(12p+28)^(1/4)-15=-7	$2 {(12 p + 28)}^{\frac{1}{4}} - 15 = - 7$
26936	Evaluate the Limit	limit as x approaches -1/2 of (x+2x^2)/(x^2-1/4)	$lim_{x \to - \frac{1}{2}} \frac{x + 2 x^{2}}{x^{2} - \frac{1}{4}}$
26937	Verify the Identity	sin(a)=tan(a)*cos(a)	$\sin (a) = \tan (a) \cdot \cos (a)$
26938	Divide	(12x^6+54x)/6	$\frac{12 x^{6} + 54 x}{6}$
26939	Solve the Inequality for v	5+\|3v\|>20	$5 + \| 3 v \| > 20$
26940	Evaluate	27^(1/3)=3	$27^{\frac{1}{3}} = 3$
26941	Solve for x	3 3/4x-(1/2x+3/4x-1/4)=1 3/4x+1	$3 \frac{3}{4} x - (\frac{1}{2} x + \frac{3}{4} x - \frac{1}{4}) = 1 \frac{3}{4} x + 1$
26942	Solve the Inequality for x	(4x-5)/-0.75>8x-7	$\frac{4 x - 5}{- 0.75} > 8 x - 7$
26943	Find f(g(x))	f(x)=x+11 g(x)=2x^2-x-6	$f (x) = x + 11$ $g (x) = 2 x^{2} - x - 6$
26944	Find the Standard Deviation	65 , 70 , 85 , 100	$65$ , $70$ , $85$ , $100$
26945	Evaluate	(1^0)/2	$\frac{1^{0}}{2}$
26946	Solve for n	t(n)=-8-7(n-1)	$t (n) = - 8 - 7 (n - 1)$
26947	Solve for y	c=3(y+k)	$c = 3 (y + k)$
26948	Factor by Grouping	(x+y)^2-(x-y)^2	${(x + y)}^{2} - {(x - y)}^{2}$
26949	Describe the Transformation	square root of 1/3(x+2)-7	$\sqrt{\frac{1}{3} (x + 2)} - 7$
26950	Evaluate from the Left	limit as x approaches 0 from the left of x/(\|x\|)=-1	$lim_{x \to 0^{-}} \frac{x}{\| x \|} = - 1$
26951	Graph	y+1>=0 y+x>=2	$y + 1 \geq 0$ $y + x \geq 2$
26952	Evaluate the Integral	integral of (8sin( square root of x)^3)/( square root of x) with respect to x	$\int \frac{8 \sin^{3} (\sqrt{x})}{\sqrt{x}} d x$
26953	Multiply	square root of 8x^5* square root of 3x	$\sqrt{8 x^{5}} \cdot \sqrt{3 x}$
26954	Solve the Absolute Value Inequality for v	-10\|v+2\|=-70	$- 10 \| v + 2 \| = - 70$
26955	Solve the Rational Equation for c	(c-4)/(c-2)=(c-2)/(c+2)-1/(2-c)	$\frac{c - 4}{c - 2} = \frac{c - 2}{c + 2} - \frac{1}{2 - c}$
26956	Solve the Inequality for x	-x+y<1	$- x + y < 1$
26957	Find the Union	(negative infinity,0) union (-1/3,infinity)	$(- \infty, 0) \cup (- \frac{1}{3}, \infty)$
26958	Find the Roots (Zeros)	x^4-3x^3-10x^2=0	$x^{4} - 3 x^{3} - 10 x^{2} = 0$
26959	Solve for y	1/(7y-5)=2/(9y)	$\frac{1}{7 y - 5} = \frac{2}{9 y}$
26960	Combine Like Terms	(-4k^4+14+3k^2)+(-3k^4-14k^2-8)	$(- 4 k^{4} + 14 + 3 k^{2}) + (- 3 k^{4} - 14 k^{2} - 8)$
26961	Graph	y-3>=\|x+5\|	$y - 3 \geq \| x + 5 \|$
26962	Simplify	(a^2+16)/(a-4)+(8a)/(4-a)	$\frac{a^{2} + 16}{a - 4} + \frac{8 a}{4 - a}$
26963	Graph	y<2x-1 y>=10-x	$y < 2 x - 1$ $y \geq 10 - x$
26964	Solve the Inequality for x	9x-8<=-2x-6(-x+2/3)	$9 x - 8 \leq - 2 x - 6 (- x + \frac{2}{3})$
26965	Solve for a	square root of 1-3a=2a	$\sqrt{1 - 3 a} = 2 a$
26966	Graph	g(x)=6 if x<-1; x^2-3 if -1<=x<=3; 6 if x>3	$g (x) = {\begin{cases} 6 & x < - 1 \\ x^{2} - 3 & - 1 \leq x \leq 3 \\ 6 & x > 3 \end{cases}$
26967	Solve for a	a(4-x)=-3x+b	$a (4 - x) = - 3 x + b$
26968	Find the GCF	45x and 20	$45 x$ and $20$
26969	Factor	7(x+y)^2+13y(x+y)-2y^2	$7 {(x + y)}^{2} + 13 y (x + y) - 2 y^{2}$
26970	Write in Standard Form	3/4x-2=9/10	$\frac{3}{4} x - 2 = \frac{9}{10}$
26971	Find the Slope	(-8,-1) and (-6,-2)	$(- 8, - 1)$ and $(- 6, - 2)$
26972	Write in Slope-Intercept Form	-x+y<1	$- x + y < 1$
26973	Solve the System of Inequalities	5/4-2y<3/2 and 3/5y+3<13/10	$\frac{5}{4} - 2 y < \frac{3}{2}$ and $\frac{3}{5} y + 3 < \frac{13}{10}$
26974	Multiply	6(x^2+2x+7)	$6 (x^{2} + 2 x + 7)$
26975	Divide Using Long Polynomial Division	2x^3+13x^2+20x+9 divided by 2x+9	$2 x^{3} + 13 x^{2} + 20 x + 9$ divided by $2 x + 9$
26976	Solve the System of Equations	y=x-1 2x-y=0	$y = x - 1$ $2 x - y = 0$
26977	Simplify	4y+5y^2-6-5y+27-y^2	$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$
26978	Solve for m	19m^2+5m-12=-6m^2	$19 m^{2} + 5 m - 12 = - 6 m^{2}$
26979	Convert to a Decimal	sin(450)deg	$\sin (450)$ degrees
26980	Find the Inverse	5x^(1/5)+3	$5 x^{\frac{1}{5}} + 3$
26981	Simplify	sin(2)(x)sec(2)(x)-sin(2)x	$\sin (2) (x) \sec (2) (x) - \sin (2) x$
26982	Evaluate the Integral	integral of (2+3x)x with respect to x	$\int (2 + 3 x) x d x$
26983	Simplify	(20x^7y^5-4x^7y^5)/(2x^4y^5)	$\frac{(20 x^{7} y^{5} - 4 x^{7} y^{5})}{2 x^{4} y^{5}}$
26984	Simplify	(4x^4*2x^2y^9)^2	${(4 x^{4} \cdot 2 x^{2} y^{9})}^{2}$
26985	Subtract	r/x-(3s)/y	$\frac{r}{x} - \frac{3 s}{y}$
26986	Find the Slope and y-intercept	5(y+2)=4(x-3)	$5 (y + 2) = 4 (x - 3)$
26987	Solve the Inequality for x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
26988	Solve the Inequality for x	-3x^2+16x+53>-5x-1	$- 3 x^{2} + 16 x + 53 > - 5 x - 1$
26989	Simplify	(-8f^6g)(-7f^2g^5h)	$(- 8 f^{6} g) (- 7 f^{2} g^{5} h)$
26990	Evaluate	i^7*i^17	$i^{7} \cdot i^{17}$
26991	Evaluate	(2^3x^2)^5	${(2^{3} x^{2})}^{5}$
26992	Simplify	(2(cos(pi/4)+isin(pi/4)))^4	${(2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4})))}^{4}$
26993	Solve the Function Operation	Given that f(x)=x^2+17x+72 and g(x)=x+9 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 17 x + 72$ and $g (x) = x + 9$ ; find $f (x) - g (x)$ and express the result in standard form.
26994	Solve for p	y=3p^2-4	$y = 3 p^{2} - 4$
26995	Find the Asymptotes	f(x)=2	$f (x) = 2$
26996	Solve for y	6x+y=2y+8	$6 x + y = 2 y + 8$
26997	Solve for m	33=7+m^3	$33 = 7 + m^{3}$
26998	Simplify	1/(x-4)*(-x^2+9x-20)/(x+2)	$\frac{1}{x - 4} \cdot \frac{- x^{2} + 9 x - 20}{x + 2}$
26999	Solve for s	-3\|s\|=18	$- 3 \| s \| = 18$
27000	Find the Exact Value	(5^10)/(5^12)	$\frac{5^{10}}{5^{12}}$