Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10101	Solve the Differential Equation	y'+y=0	$y' + y = 0$
10102	Solve for x	3-(-x/8)=12	$3 - (- \frac{x}{8}) = 12$
10103	Simplify	(8o^4p^2q)^0	${(8 o^{4} p^{2} q)}^{0}$
10104	Find the Degree, Leading Term, and Leading Coefficient	p(r)=-2(r-1)(r+2)(r-2)	$p (r) = - 2 (r - 1) (r + 2) (r - 2)$
10105	Find the Product	(x^3+x^2+1)(x^2-x-5)	$(x^{3} + x^{2} + 1) (x^{2} - x - 5)$
10106	Find the Exact Value	sec(0 degrees )+cot(45 degrees )	$\sec (0 °) + \cot (45 °)$
10107	Solve for x	x=(-6+- square root of 6^2-435)/(2*3)	$x = \frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot 5}}{2 \cdot 3}$
10108	Simplify	5((5^5)/(5^3))	$5 (\frac{5^{5}}{5^{3}})$
10109	Find the Factors Using the Factor Theorem	x^4+2x^3-8x-16 , x+2	$x^{4} + 2 x^{3} - 8 x - 16$ , $x + 2$
10110	Simplify	fourth root of 8* square root of 2* sixth root of 4	$\sqrt[4]{8} \cdot \sqrt{2} \cdot \sqrt[6]{4}$
10111	Graph	p+1/4>=2	$p + \frac{1}{4} \geq 2$
10112	Determine if a Polynomial	-10b^2+8a^2c^2+10a^3b^5	$- 10 b^{2} + 8 a^{2} c^{2} + 10 a^{3} b^{5}$
10113	Simplify	(x^2+2x+4)/(x^3-8)	$\frac{x^{2} + 2 x + 4}{x^{3} - 8}$
10114	Find All Complex Solutions	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
10115	Simplify	(a^-2b^-1)/(cd^-3)	$\frac{a^{- 2} b^{- 1}}{c d^{- 3}}$
10116	Find the Maximum/Minimum Value	f(x) = square root of x^3+3x^2	$f (x) = \sqrt{x^{3} + 3 x^{2}}$
10117	Simplify	(2x-1)(4x^2+3)	$(2 x - 1) (4 x^{2} + 3)$
10118	Write in Standard Form	(x^2+8x+8)+(-10x^2+5x)	$(x^{2} + 8 x + 8) + (- 10 x^{2} + 5 x)$
10119	Simplify	12.5(10x^(1/2)y^(1/3))^0	$12.5 {(10 x^{\frac{1}{2}} y^{\frac{1}{3}})}^{0}$
10120	Solve the Inequality for x	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$
10121	Simplify	fourth root of 256x^11* square root of 81x^9	$\sqrt[4]{256 x^{11}} \cdot \sqrt{81 x^{9}}$
10122	Find the Inverse	f(x)=(3x)^(-5/2)	$f (x) = {(3 x)}^{- \frac{5}{2}}$
10123	Simplify	cube root of 7* cube root of 7^2	$\sqrt[3]{7} \cdot \sqrt[3]{7^{2}}$
10124	Simplify	x^(-1/2)*x^(-1/4)	$x^{- \frac{1}{2}} \cdot x^{- \frac{1}{4}}$
10125	Solve Using the Quadratic Formula	x^2=x-1	$x^{2} = x - 1$
10126	Simplify	(7^-2)/(4^-1)	$\frac{7^{- 2}}{4^{- 1}}$
10127	Solve for x	10^(2x)+3=8	$10^{2 x} + 3 = 8$
10128	Evaluate the Limit	limit as x approaches 5 of (2x-10)/(x^2-2x-15)	$lim_{x \to 5} \frac{2 x - 10}{x^{2} - 2 x - 15}$
10129	Rationalize the Denominator	square root of 4/3	$\sqrt{\frac{4}{3}}$
10130	Determine if Continuous	f(x)=2x+1 if x>=1; 4-x^2 if x=1	$f (x) = {\begin{cases} 2 x + 1 & x \geq 1 \\ 4 - x^{2} & x = 1 \end{cases}$
10131	Solve the Inequality for y	3y>36	$3 y > 36$
10132	Graph	y<-3 or y<1	$y < - 3$ or $y < 1$
10133	Solve for x	-4=-x+ square root of x-4	$- 4 = - x + \sqrt{x - 4}$
10134	Evaluate	-1+(4/2(6-1))^2	$- 1 + {(\frac{4}{2} (6 - 1))}^{2}$
10135	Graph	3x<=y	$3 x \leq y$
10136	Find the Domain	g(x)=(3x+\|x\|)/x	$g (x) = \frac{3 x + \| x \|}{x}$
10137	Evaluate	f(t)=1500(1.074)^5	$f (t) = 1500 {(1.074)}^{5}$
10138	Solve for x	x^4-16x^2=x^2+18	$x^{4} - 16 x^{2} = x^{2} + 18$
10139	Simplify the Radical Expression	(x^3y^7z^4)^(1/2)	${(x^{3} y^{7} z^{4})}^{\frac{1}{2}}$
10140	Find the GCF	Find the GCF of 30w and 70w	Find the GCF of $30 w$ and $70 w$
10141	Find the Domain and Range	y=3sec((2x)/3)	$y = 3 \sec (\frac{2 x}{3})$
10142	Solve the Rational Equation for x	1/(6x^2)=1/(2x)+7/(6x^2)	$\frac{1}{6 x^{2}} = \frac{1}{2 x} + \frac{7}{6 x^{2}}$
10143	Simplify	a^2+4a^2-2a^2	$a^{2} + 4 a^{2} - 2 a^{2}$
10144	Solve for z	0.2z-0.05=-0.03z	$0.2 z - 0.05 = - 0.03 z$
10145	Add	(3y-1)/(y^2+4y)+(9y+6)/(y(y+4))	$\frac{3 y - 1}{y^{2} + 4 y} + \frac{9 y + 6}{y (y + 4)}$
10146	Simplify	(x-1)(x-4)(x+2)(3x+2)	$(x - 1) (x - 4) (x + 2) (3 x + 2)$
10147	Write in Standard Form	3x^2-8x-12x^5-5x^3+2x^4-6	$3 x^{2} - 8 x - 12 x^{5} - 5 x^{3} + 2 x^{4} - 6$
10148	Evaluate the Integral	integral of x(x+2)(4x-1) with respect to x	$\int x (x + 2) (4 x - 1) d x$
10149	Evaluate	(-7x^2-10x-6)+(-3x^2+x)	$(- 7 x^{2} - 10 x - 6) + (- 3 x^{2} + x)$
10150	Simplify	m^-9(m^-1n)^(1/2)n^8	$m^{- 9} {(m^{- 1} n)}^{\frac{1}{2}} n^{8}$
10151	Solve for q	square root of 2q-1 = square root of 3q-6	$\sqrt{2 q - 1} = \sqrt{3 q - 6}$
10152	Determine if a Polynomial	8b^2+9c^4b^5-b	$8 b^{2} + 9 c^{4} b^{5} - b$
10153	Use Logarithmic Differentiation to Find the Derivative	y=x^5sin(x)	$y = x^{5} \sin (x)$
10154	Solve the Inequality for x	(-3)(2x-3)<5\|7-10\|	$(- 3) (2 x - 3) < 5 \| 7 - 10 \|$
10155	Simplify	square root of (7x^8y^4)/(6x^6y)	$\sqrt{\frac{7 x^{8} y^{4}}{6 x^{6} y}}$
10156	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x-x^2-8	$f (x) = - 2 x - x^{2} - 8$
10157	Simplify	-1/2(-3/2x+6x+1)-3x	$- \frac{1}{2} (- \frac{3}{2} x + 6 x + 1) - 3 x$
10158	Solve for x	(2x)/5=x+2	$\frac{2 x}{5} = x + 2$
10159	Evaluate	((2x^2)/(5y^4))^-2	${(\frac{2 x^{2}}{5 y^{4}})}^{- 2}$
10160	Find the Concavity	f(x)=1/6x^4+5x^3+50x^2	$f (x) = \frac{1}{6} x^{4} + 5 x^{3} + 50 x^{2}$
10161	Simplify	2cd^3(c-d+5)	$2 c d^{3} (c - d + 5)$
10162	Simplify	10/(9x)*(2x^2)/3	$\frac{10}{9 x} \cdot \frac{2 x^{2}}{3}$
10163	Simplify	square root of -50x^2yz^3	$\sqrt{- 50 x^{2} y z^{3}}$
10164	Factor	x^2-16x+64+2x^8-16x^7	$x^{2} - 16 x + 64 + 2 x^{8} - 16 x^{7}$
10165	Simplify	(24mn^6-40m^2n^3)/(4m^2n^3)	$\frac{24 m n^{6} - 40 m^{2} n^{3}}{4 m^{2} n^{3}}$
10166	Determine if a Polynomial	(zx^3)/9-x^3	$\frac{z x^{3}}{9} - x^{3}$
10167	Divide Using Long Polynomial Division	(6k^2m-12k^3m^2+9m^3)/(2(km^2))	$\frac{6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}}{2 {km}^{2}}$
10168	Find the Asymptotes	y/3=2^(x+1)-2	$\frac{y}{3} = 2^{x + 1} - 2$
10169	Simplify	1/7x^2(x-7)	$\frac{1}{7} x^{2} (x - 7)$
10170	Solve by Factoring	x^4+x^3-6x^2<=0	$x^{4} + x^{3} - 6 x^{2} \leq 0$
10171	Simplify	(a-x)(b-y)	$(a - x) (b - y)$
10172	Simplify	10 square root of x- square root of 4x	$10 \sqrt{x} - \sqrt{4 x}$
10173	Solve for x	(5x-4)/2-7>4x-3	$\frac{5 x - 4}{2} - 7 > 4 x - 3$
10174	Simplify	2a(a^4+a^2)	$2 a (a^{4} + a^{2})$
10175	Find the Concavity	f(x)=1/3x^6+3x^5+15/2x^4	$f (x) = \frac{1}{3} x^{6} + 3 x^{5} + \frac{15}{2} x^{4}$
10176	Evaluate	-5/(2(25)^(3/2))	$- \frac{5}{2 {(25)}^{\frac{3}{2}}}$
10177	Solve the System of Equations	4x+y+z=-10 5x-3y-z=-7 6x+y-z=8	$4 x + y + z = - 10$ $5 x - 3 y - z = - 7$ $6 x + y - z = 8$
10178	Simplify	(x-4)/(x^2+4x+3)-(x-1)/(x^2-9)	$\frac{x - 4}{x^{2} + 4 x + 3} - \frac{x - 1}{x^{2} - 9}$
10179	Simplify	( square root of 10x^4)/( square root of 15x^3)	$\frac{\sqrt{10 x^{4}}}{\sqrt{15 x^{3}}}$
10180	Evaluate the Summation	sum from k=1 to 8 of -1(2/3)k-1	$\sum_{k = 1}^{8} - 1 (\frac{2}{3}) k - 1$
10181	Solve the Function Operation	f(x)=x-8 g(x)=x^2+x-15 Find: (gof)(x)	$f (x) = x - 8$ $g (x) = x^{2} + x - 15$ Find: $((g \circ f)) (x)$
10182	Simplify	u^(-5/4)v^2*(u^(3/2))^(-3/2)	$u^{- \frac{5}{4}} v^{2} \cdot {(u^{\frac{3}{2}})}^{- \frac{3}{2}}$
10183	Find the Domain	(6x^2+5xy-6y^2)/(3x^2-5xy+2y^2)	$\frac{6 x^{2} + 5 x y - 6 y^{2}}{3 x^{2} - 5 x y + 2 y^{2}}$
10184	Describe the Transformation	g(x)=-f(x)-5	$g (x) = - f (x) - 5$
10185	Evaluate	square root of 3x-5-3 square root of x=0	$\sqrt{3 x - 5} - 3 \sqrt{x} = 0$
10186	Simplify	( square root of 35)÷( square root of 7)	$\sqrt{35} \div \sqrt{7}$
10187	Find the Asymptotes	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
10188	Solve for x	12x+2(6+7(x+1))=0	$12 x + 2 (6 + 7 (x + 1)) = 0$
10189	Write the Fraction in Simplest Form	limit as x approaches 4 of (x^3-64)/(x-4)	$lim_{x \to 4} \frac{x^{3} - 64}{x - 4}$
10190	Solve for x	-2 square root of x/8=-4	$- 2 \sqrt{\frac{x}{8}} = - 4$
10191	Simplify the Radical Expression	fourth root of (m^10)/16	$\sqrt[4]{\frac{m^{10}}{16}}$
10192	Solve for m	1-2 square root of m+12=5	$1 - 2 \sqrt{m + 12} = 5$
10193	Solve for x	(x+1)-(x-1)=24	$(x + 1) - (x - 1) = 24$
10194	Find the Integral	1/( square root of x+1)	$\frac{1}{\sqrt{x + 1}}$
10195	Solve for x	1/(3x)+4/(9x)=1+3/(7x)	$\frac{1}{3 x} + \frac{4}{9 x} = 1 + \frac{3}{7 x}$
10196	Write in Standard Form	10(x-2)-5(x^2-7x)+x(3x+6)	$10 (x - 2) - 5 (x^{2} - 7 x) + x (3 x + 6)$
10197	Add	(c^2-6d^2)+(c^2-2cd+2d^2)	$(c^{2} - 6 d^{2}) + (c^{2} - 2 c d + 2 d^{2})$
10198	Convert from Degrees to Radians	50deg	$50$ degrees
10199	Simplify	(i square root of 5/3)/(i square root of 2/3)	$\frac{i \sqrt{\frac{5}{3}}}{i \sqrt{\frac{2}{3}}}$
10200	Find the Inflection Points	f(x)=-1/3x^3-9x^2	$f (x) = - \frac{1}{3} x^{3} - 9 x^{2}$