Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28701	Solve for x	(x-3)^2+(x-6)^2=x^2	${(x - 3)}^{2} + {(x - 6)}^{2} = x^{2}$
28702	Solve for m	(8m-9)=(21m-17)	$(8 m - 9) = (21 m - 17)$
28703	Solve for x	-1/2(-10x+6)+x=3/2(6x-4)	$- \frac{1}{2} (- 10 x + 6) + x = \frac{3}{2} (6 x - 4)$
28704	Simplify	(5x-y^3)^3	${(5 x - y^{3})}^{3}$
28705	Simplify	(3 square root of 8)+(2 square root of 2)	$(3 \sqrt{8}) + (2 \sqrt{2})$
28706	Evaluate	60/1*pi/180	$\frac{60}{1} \cdot \frac{π}{180}$
28707	Find the Local Maxima and Minima	f(x)=-1/2x^4+8x^3-32x^2-5	$f (x) = - \frac{1}{2} x^{4} + 8 x^{3} - 32 x^{2} - 5$
28708	Evaluate	i^9i^10i^19*i^24	$i^{9} \cdot i^{10} \cdot i^{19} \cdot i^{24}$
28709	Solve the Inequality for x	x^2+16x+24>6x	$x^{2} + 16 x + 24 > 6 x$
28710	Graph	- square root of 4-x^2	$- \sqrt{4 - x^{2}}$
28711	Find the Midpoint	A=(3,5) and B=(5,9)	$A = (3, 5)$ and $B = (5, 9)$
28712	Solve for c	9x+3=cx+3+4x	$9 x + 3 = c x + 3 + 4 x$
28713	Evaluate the Limit	limit as x approaches infinity of (x+5)/(2x^2+1)	$lim_{x \to \infty} \frac{x + 5}{2 x^{2} + 1}$
28714	Simplify	(d^-2e^3)/(e^-5d^7)	$\frac{d^{- 2} e^{3}}{e^{- 5} d^{7}}$
28715	Solve for x	-x=6.8x-4(2.2x-6)-10	$- x = 6.8 x - 4 (2.2 x - 6) - 10$
28716	Find the Domain	f(x)=( square root of x-2)/(x(x-1))	$f (x) = \frac{\sqrt{x - 2}}{x (x - 1)}$
28717	Factor	4x(5x^2-3)-5(5x^2-3)	$4 x (5 x^{2} - 3) - 5 (5 x^{2} - 3)$
28718	Write the Fraction in Simplest Form	(3q^2)/(-2(p^3q^-5)^-1)	$\frac{3 q^{2}}{- 2 {(p^{3} q^{- 5})}^{- 1}}$
28719	Solve for x	-3/7+5/x=-1/(7x)	$\frac{- 3}{7} + \frac{5}{x} = \frac{- 1}{7 x}$
28720	Find the Standard Form of the Parabola	y^2+8x+8=0	$y^{2} + 8 x + 8 = 0$
28721	Simplify	(x+y)(x^2+xy+y^2)	$(x + y) (x^{2} + x y + y^{2})$
28722	Multiply	(p+10)/(9-p)*(p^2-5p-36)/(4p^2+16p)	$\frac{p + 10}{9 - p} \cdot \frac{p^{2} - 5 p - 36}{4 p^{2} + 16 p}$
28723	Evaluate	sec(theta) = square root of 2	$\sec (θ) = \sqrt{2}$
28724	Solve for z	3+z/4+5=19	$3 + \frac{z}{4} + 5 = 19$
28725	Solve the System of Equations	-x+2y=-4 and -6x+9y=-12	$- x + 2 y = - 4$ and $- 6 x + 9 y = - 12$
28726	Multiply	5a(-3b)(-2a^2b^3)	$5 a (- 3 b) (- 2 a^{2} b^{3})$
28727	Solve for k	sin(4x)^2=1/2(1-cos(kx))	$\sin^{2} (4 x) = \frac{1}{2} (1 - \cos (k x))$
28728	Solve the System of Equations	-3z=-9 3y+5z=-3 -2x+2y+5z=-3	$- 3 z = - 9$ $3 y + 5 z = - 3$ $- 2 x + 2 y + 5 z = - 3$
28729	Find the Exact Value	csc((7pi)/4)^2	$\csc^{2} (\frac{7 π}{4})$
28730	Evaluate	85% of 60	$85 %$ of $60$
28731	Use Logarithmic Differentiation to Find the Derivative	f(x) = natural log of e^xx^3(x+1)^4	$f (x) = \ln (e^{x} x^{3} {(x + 1)}^{4})$
28732	Find the x and y Intercepts	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
28733	Simplify	(3+ square root of 2x)^2	${(3 + \sqrt{2 x})}^{2}$
28734	Graph	xy^2=2+xy	$x y^{2} = 2 + x y$
28735	Evaluate	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
28736	Find the Asymptotes	((x+4)(x+6))/(2x(x+4))	$\frac{(x + 4) (x + 6)}{2 x (x + 4)}$
28737	Find the Domain	1/(\|x\|)	$\frac{1}{\| x \|}$
28738	Solve the Rational Equation for x	square root of x+ square root of x-8=2	$\sqrt{x} + \sqrt{x - 8} = 2$
28739	Solve for x	square root of x-4 = square root of 2x	$\sqrt{x - 4} = \sqrt{2 x}$
28740	Solve the Inequality for x	x^3+7x^2+10x>=0	$x^{3} + 7 x^{2} + 10 x \geq 0$
28741	Find the Union	[-2,4] intersect [4,infinity)	$[- 2, 4] \cap [4, \infty)$
28742	Expand Using Pascal's Triangle	(2x-3y^2)^3	${(2 x - 3 y^{2})}^{3}$
28743	Evaluate the Function	f(x)=x^5-47x^3-16x^2+8x+52 at x=7	$f (x) = x^{5} - 47 x^{3} - 16 x^{2} + 8 x + 52$ at $x = 7$
28744	Simplify	(15/6)^0	${(\frac{15}{6})}^{0}$
28745	Solve the Inequality for x	21>=3(x-7)+9	$21 \geq 3 (x - 7) + 9$
28746	Evaluate	7/( square root of 9-7^2)	$\frac{7}{\sqrt{9 - 7^{2}}}$
28747	Verify the Identity	tan(2x)^2+cos(2x)^2+sin(2x)^2=sec(2x)^2	$\tan^{2} (2 x) + \cos^{2} (2 x) + \sin^{2} (2 x) = \sec^{2} (2 x)$
28748	Simplify	(\|x-2\|)/( square root of x)	$\frac{\| x - 2 \|}{\sqrt{x}}$
28749	Simplify	(3 square root of x^2)^6	${(3 \sqrt{x^{2}})}^{6}$
28750	Solve for w	4/(w+4)=8/(2w+8)-3	$\frac{4}{w + 4} = \frac{8}{2 w + 8} - 3$
28751	Round to the Nearest Whole Number	1/8	$\frac{1}{8}$
28752	Find the Derivative - d/dx	x-sin(2x)	$x - \sin (2 x)$
28753	Evaluate	e^x=e^(x^2-2)	$e^{x} = e^{x^{2} - 2}$
28754	Multiply	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
28755	Evaluate	e=mc^2	$e = m c^{2}$
28756	Find the Vertex	2y^2=x-8	$2 y^{2} = x - 8$
28757	Find the Derivative - d/dy	x^2+y	$x^{2} + y$
28758	Simplify	((5n)/-3)^-3	${(\frac{5 n}{- 3})}^{- 3}$
28759	Simplify	1/(5x^3)+1/(15x)	$\frac{1}{5 x^{3}} + \frac{1}{15 x}$
28760	Evaluate	(sin(2)(-0.1))/-0.1	$\frac{\sin (2) (- 0.1)}{- 0.1}$
28761	Simplify	(-3x^2+4x-1)+(-5+4x+2x^2)	$(- 3 x^{2} + 4 x - 1) + (- 5 + 4 x + 2 x^{2})$
28762	Evaluate the Integral	integral of (4x-csc(x)^2) with respect to x	$\int (4 x - \csc^{2} (x)) d x$
28763	Solve for x	5/4(x+1/5)=21/4	$\frac{5}{4} (x + \frac{1}{5}) = \frac{21}{4}$
28764	Simplify	4p(q-1)+q(1-p)	$4 p (q - 1) + q (1 - p)$
28765	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+4x^2-5x-2 is divided by x+2	Use synthetic division to find the result when $3 x^{3} + 4 x^{2} - 5 x - 2$ is divided by $x + 2$
28766	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+11x^2-18x+10 is divided by x+5	Use synthetic division to find the result when $3 x^{3} + 11 x^{2} - 18 x + 10$ is divided by $x + 5$
28767	Find the Inverse	y=(1- square root of x)/(1+ square root of x)	$y = \frac{1 - \sqrt{x}}{1 + \sqrt{x}}$
28768	Find the GCF	x^2-9 and x^2-5x+6	$x^{2} - 9$ and $x^{2} - 5 x + 6$
28769	Expand Using Sum/Difference Formulas	-2.5(-3+4n+8)	$- 2.5 (- 3 + 4 n + 8)$
28770	Evaluate	((3x^(3/2)y^3)/(x^2y^(-1/2)))^-2	${(\frac{3 x^{\frac{3}{2}} y^{3}}{x^{2} y^{- \frac{1}{2}}})}^{- 2}$
28771	Solve the Rational Equation for x	-2/(x(x+2))=(x+3)/(x+2)	$- \frac{2}{x (x + 2)} = \frac{x + 3}{x + 2}$
28772	Solve the Inequality for x	-2x^2+2<=x+1	$- 2 x^{2} + 2 \leq x + 1$
28773	Solve the Inequality for y	1>=(-y)/4	$1 \geq \frac{- y}{4}$
28774	Solve the Rational Equation for x	5 square root of x+2=12	$5 \sqrt{x} + 2 = 12$
28775	Evaluate	28 root of 1/(p^6*p)	$\sqrt[28]{\frac{1}{p^{6} \cdot p}}$
28776	Convert to Interval Notation	x<1 and x>-2	$x < 1$ and $x > - 2$
28777	Solve the Rational Equation for x	2/(x-3)+1/x=(x-1)/(x-3)	$\frac{2}{x - 3} + \frac{1}{x} = \frac{x - 1}{x - 3}$
28778	Find the Roots (Zeros)	x^5-3x^4-8x^3-8x^2-9x-5=0	$x^{5} - 3 x^{4} - 8 x^{3} - 8 x^{2} - 9 x - 5 = 0$
28779	Simplify	(a+b)(b+c)(c+a)	$(a + b) (b + c) (c + a)$
28780	Find the Domain	square root of 3x-6+1	$\sqrt{3 x - 6} + 1$
28781	Find the Exact Value	sin(pi/6)cos(pi/3)-tan(pi/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{3}) - \tan (\frac{π}{4})$
28782	Solve for x	40/(3x^(1/3))-(5x^(2/3))/3=0	$\frac{40}{3 x^{\frac{1}{3}}} - \frac{5 x^{\frac{2}{3}}}{3} = 0$
28783	Solve for x	x/2+x=9/4	$\frac{x}{2} + x = \frac{9}{4}$
28784	Convert to Interval Notation	x^2<2x+8	$x^{2} < 2 x + 8$
28785	Evaluate the Limit	limit as x approaches negative infinity of (3x^7+x^5-15)/(4x^2+32x)	$lim_{x \to - \infty} \frac{3 x^{7} + x^{5} - 15}{4 x^{2} + 32 x}$
28786	Solve for d	3\|d-4\|>=12	$3 \| d - 4 \| \geq 12$
28787	Find the Slope	(2,-9) and (8,-9)	$(2, - 9)$ and $(8, - 9)$
28788	Find the Derivative - d/dx	-2 fourth root of x	$- 2 \sqrt[4]{x}$
28789	Find the Intersection	y>=4x-5	$y \geq 4 x - 5$
28790	Find the x and y Intercepts	f(x)=3(x^2+16)(x-6)(x-6)(3x+2)	$f (x) = 3 (x^{2} + 16) (x - 6) (x - 6) (3 x + 2)$
28791	Solve for d	d+10 3/4=-56 1/2	$d + 10 \frac{3}{4} = - 56 \frac{1}{2}$
28792	Simplify	(i^5i^2i^8)^0	${(i^{5} \cdot i^{2} \cdot i^{8})}^{0}$
28793	Solve the Inequality for x	-5\|x-4\|>-20	$- 5 \| x - 4 \| > - 20$
28794	Solve the Inequality for x	-6x^2+9x<=-2x-2	$- 6 x^{2} + 9 x \leq - 2 x - 2$
28795	Find the Domain	(a^2-b^2)/(a^2-a+ab-b)	$\frac{a^{2} - b^{2}}{a^{2} - a + a b - b}$
28796	Evaluate	(15a^0b^2c^34)(3a^16b^-29c^0)	$(15 a^{0} b^{2} c^{34}) (3 a^{16} b^{- 29} c^{0})$
28797	Solve for x	(x-1)^(-4/3)=1/81	${(x - 1)}^{- \frac{4}{3}} = \frac{1}{81}$
28798	Evaluate Using the Given Value	p^2q^2+pq-q^3-p^3 for p=0.5 and q=-0.5	$p^{2} q^{2} + p q - q^{3} - p^{3}$ for $p = 0.5$ and $q = - 0.5$
28799	Simplify	( cube root of 2v^5)( cube root of 18v^6)	$(\sqrt[3]{2 v^{5}}) (\sqrt[3]{18 v^{6}})$
28800	Rationalize the Denominator	5/(-4- square root of 6)	$\frac{5}{- 4 - \sqrt{6}}$