Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6301	Solve for x	4(x+2)^(1/5)-1=7	$4 {(x + 2)}^{\frac{1}{5}} - 1 = 7$
6302	Simplify	fourth root of (243k^3)/(3k^7)	$\sqrt[4]{\frac{243 k^{3}}{3 k^{7}}}$
6303	Solve for z	1/2z+6=3/2(z+6)	$\frac{1}{2} z + 6 = \frac{3}{2} (z + 6)$
6304	Simplify	b^0*b^(1/5)	$b^{0} \cdot b^{\frac{1}{5}}$
6305	Simplify	(14y)÷((7y)/(y-3))	$14 y \div \frac{7 y}{y - 3}$
6306	Find Where Increasing/Decreasing	y=(7/2)^x	$y = {(\frac{7}{2})}^{x}$
6307	Evaluate the Integral	integral from 0 to 2 of (2x^3-6x+3/(x^2+1)) with respect to x	$\int_{0}^{2} (2 x^{3} - 6 x + \frac{3}{x^{2} + 1}) d x$
6308	Solve Using the Quadratic Formula	w(7w-10)+4=0	$w (7 w - 10) + 4 = 0$
6309	Simplify the Radical Expression	(32x^4y^7)^(1/5)	${(32 x^{4} y^{7})}^{\frac{1}{5}}$
6310	Solve the Function Operation	f(x)=x^2+9 g(x)=x-9 Find f(x)-g(x)	$f (x) = x^{2} + 9$ $g (x) = x - 9$ Find $f (x) - g (x)$
6311	Simplify	a square root of b+ square root of a^2b- square root of ab^3	$a \sqrt{b} + \sqrt{a^{2} b} - \sqrt{a b^{3}}$
6312	Find the Domain	a/(a-6)-3/(a+6)+(a^2)/(36-a^2)	$\frac{a}{a - 6} - \frac{3}{a + 6} + \frac{a^{2}}{36 - a^{2}}$
6313	Simplify	fourth root of square root of e^12f^6g^18	$\sqrt[4]{\sqrt{e^{12} f^{6} g^{18}}}$
6314	Solve for x	x-20=(20+x)/3	$x - 20 = \frac{20 + x}{3}$
6315	Simplify	((b^2)/(-2b^5*ab^2))^0	${(\frac{b^{2}}{- 2 b^{5} \cdot a b^{2}})}^{0}$
6316	Find Where Increasing/Decreasing	f(x)=3/4x^4+x^3-135x^2+19	$f (x) = \frac{3}{4} x^{4} + x^{3} - 135 x^{2} + 19$
6317	Evaluate	-10*(24-4^2)	$- 10 \cdot (24 - 4^{2})$
6318	Simplify the Radical Expression	((9^3)/(6^3))^(-1/3)	${(\frac{9^{3}}{6^{3}})}^{- \frac{1}{3}}$
6319	Solve for m	-4 = cube root of m+2	$- 4 = \sqrt[3]{m + 2}$
6320	Simplify	((c^4)/(c^8))^(3/4)	${(\frac{c^{4}}{c^{8}})}^{\frac{3}{4}}$
6321	Simplify	4b^0(6b^7)^-2	$4 b^{0} {(6 b^{7})}^{- 2}$
6322	Simplify	-9(-10n-4-7n^2)-7n	$- 9 (- 10 n - 4 - 7 n^{2}) - 7 n$
6323	Convert to Radical Form	(3x^(1/2))(4x^(2/3))	$(3 x^{\frac{1}{2}}) (4 x^{\frac{2}{3}})$
6324	Find the Domain	(4a)/(a+b)	$\frac{4 a}{a + b}$
6325	Find the Inflection Points	f(x)=1/10x^5-2x^4+12x^3	$f (x) = \frac{1}{10} x^{5} - 2 x^{4} + 12 x^{3}$
6326	Find the Antiderivative	(sin(x))/x	$\frac{\sin (x)}{x}$
6327	Solve for y	square root of y=y+3	$\sqrt{y} = y + 3$
6328	Solve for X	16(X^2-2)+13=-10	$16 (X^{2} - 2) + 13 = - 10$
6329	Find the Absolute Max and Min over the Interval	f(x)=3x^2-x^3 , [1,5/2]	$f (x) = 3 x^{2} - x^{3}$ , $[1, \frac{5}{2}]$
6330	Describe the Transformation	f(x)=-(x+2)^3-1	$f (x) = - {(x + 2)}^{3} - 1$
6331	Evaluate	log of 8+ log of 10- log of 2	$\log (8) + \log (10) - \log (2)$
6332	Evaluate the Limit	limit as x approaches infinity of (7+x^-3)/(3x^-3+5)	$lim_{x \to \infty} \frac{7 + x^{- 3}}{3 x^{- 3} + 5}$
6333	Simplify	i^2(3+i)	$i^{2} (3 + i)$
6334	Solve for x	4+(5(7-x))/9=-1	$4 + \frac{5 (7 - x)}{9} = - 1$
6335	Solve for x	square root of 4x+5- square root of x+1=1	$\sqrt{4 x + 5} - \sqrt{x + 1} = 1$
6336	Solve for r	5 = square root of r-3	$5 = \sqrt{r - 3}$
6337	Solve for p	p=(144p)/y	$p = \frac{144 p}{y}$
6338	Simplify	((5-5 square root of x)(5+5 square root of x))/( square root of x(x-5)(5+5 square root of x))	$\frac{(5 - 5 \sqrt{x}) (5 + 5 \sqrt{x})}{(\sqrt{x} (x - 5) (5 + 5 \sqrt{x}))}$
6339	Verify the Identity	(x+7)^2=x^2+14x+49	${(x + 7)}^{2} = x^{2} + 14 x + 49$
6340	Graph Using a Table of Values	f(x)=3^(x-2)-7	$f (x) = 3^{x - 2} - 7$
6341	Evaluate	n root of a/b=(n root of a)/(n root of b)	$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
6342	Solve for s	-14-11+s=-4s+20	$- 14 - 11 + s = - 4 s + 20$
6343	Find the Absolute Max and Min over the Interval	f(x)=(x^2)/((x-1)^2) on interval -2 , -1	$f (x) = \frac{x^{2}}{{(x - 1)}^{2}}$ on interval $- 2$ , $- 1$
6344	Solve for x	cube root of 8x^3+27=2x+3	$\sqrt[3]{8 x^{3} + 27} = 2 x + 3$
6345	Find the Domain	(x^2-3xy)/((x+y)(x-y))+y/(x-y)	$\frac{x^{2} - 3 x y}{(x + y) (x - y)} + \frac{y}{x - y}$
6346	Simplify the Radical Expression	4x cube root of 64x^5	$4 x \sqrt[3]{64 x^{5}}$
6347	Evaluate	(x^-2x^-3)^4	${(x^{- 2} x^{- 3})}^{4}$
6348	Simplify	(5x^2)/(7x^2)	$\frac{5 x^{2}}{7 x^{2}}$
6349	Solve for x	0.5(x^2+5x+136)^(2/3)=50	$0.5 {(x^{2} + 5 x + 136)}^{\frac{2}{3}} = 50$
6350	Simplify	(-3a^2b)(6ab^4c)	$(- 3 a^{2} b) (6 a b^{4} c)$
6351	Evaluate the Limit	limit as x approaches 0 of (e^x-1-2x)/(x^2)	$lim_{x \to 0} \frac{e^{x} - 1 - 2 x}{x^{2}}$
6352	Simplify	((w^8)/w)^(1/14)	${(\frac{w^{8}}{w})}^{\frac{1}{14}}$
6353	Simplify	(xy^2)^3*(x^-2)	${(x y^{2})}^{3} \cdot (x^{- 2})$
6354	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-5x^2-10x^3+6+10x	$f (x) = x^{4} - 5 x^{2} - 10 x^{3} + 6 + 10 x$
6355	Evaluate	(-5x^2-9x+6)+(6x^2+10)	$(- 5 x^{2} - 9 x + 6) + (6 x^{2} + 10)$
6356	Simplify	(x+3)/(x^2-4x+4)*(x^2-x-2)/(x^2+4x+3)	$\frac{x + 3}{x^{2} - 4 x + 4} \cdot \frac{x^{2} - x - 2}{x^{2} + 4 x + 3}$
6357	Simplify	cube root of 4x^3* cube root of 4x^5	$\sqrt[3]{4 x^{3}} \cdot \sqrt[3]{4 x^{5}}$
6358	Factor by Grouping	4x^(a+2)+20x^a	$4 x^{a + 2} + 20 x^{a}$
6359	Find the Excluded Values	(v-5)/(v^2-10v+25)	$\frac{v - 5}{v^{2} - 10 v + 25}$
6360	Add	(8-p^2+5p)+(p^2-15-4p)	$(8 - p^{2} + 5 p) + (p^{2} - 15 - 4 p)$
6361	Solve for t	12-11+2t=8+t	$12 - 11 + 2 t = 8 + t$
6362	Find the Derivative of the Integral	G(x) = integral from 1 to x of sin(t^2) with respect to t	$G (x) = \int_{1}^{x} \sin (t^{2}) d t$
6363	Write in Standard Form	(4m+n)(m-2n)	$(4 m + n) (m - 2 n)$
6364	Simplify	( cube root of 24* cube root of 12)/( cube root of 2)	$\frac{\sqrt[3]{24} \cdot \sqrt[3]{12}}{\sqrt[3]{2}}$
6365	Solve the Inequality for x	(2x)/3+1/2>x-5	$\frac{2 x}{3} + \frac{1}{2} > x - 5$
6366	Simplify	((5^-3)/(5^6))^-6	${(\frac{5^{- 3}}{5^{6}})}^{- 6}$
6367	Simplify the Radical Expression	(10+3 square root of 7)(10-3 square root of 7)	$(10 + 3 \sqrt{7}) (10 - 3 \sqrt{7})$
6368	Simplify	((st^8)/(rt^4))^2	${(\frac{s t^{8}}{r t^{4}})}^{2}$
6369	Graph	f(x)=2x+6 y=-2/3x-6 h(x)=-2x+6 f(x)=1 y=2/3x-6	$f (x) = 2 x + 6$ $y = - \frac{2}{3} x - 6$ $h (x) = - 2 x + 6$ $f (x) = 1$ $y = \frac{2}{3} x - 6$
6370	Solve for x	3^(2x^2+10x)=9^(10x-6)	$3^{2 x^{2} + 10 x} = 9^{10 x - 6}$
6371	Simplify the Radical Expression	( cube root of -16)^3	${(\sqrt[3]{- 16})}^{3}$
6372	Find dy/dx	y=x+y^2	$y = x + y^{2}$
6373	Simplify the Radical Expression	2/(-4x+4 square root of 5x)	$\frac{2}{- 4 x + 4 \sqrt{5 x}}$
6374	Graph	y<x-1 y>=x+1	$y < x - 1$ $y \geq x + 1$
6375	Graph	y<2x-4 y<2	$y < 2 x - 4$ $y < 2$
6376	Solve for m	(mx+ny)^2=4x^2+12xy+9y^2	${(m x + n y)}^{2} = 4 x^{2} + 12 x y + 9 y^{2}$
6377	Solve for n	n/(n+1)=3/5	$\frac{n}{n + 1} = \frac{3}{5}$
6378	Simplify	(5+ square root of -36)-(-4- square root of -49)	$(5 + \sqrt{- 36}) - (- 4 - \sqrt{- 49})$
6379	Solve the Rational Equation for x	x^(4/3)-10x^(2/3)+9=0	$x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 9 = 0$
6380	Solve for x	25^2=125^(x+1)	$25^{2} = 125^{x + 1}$
6381	Simplify	sixth root of 1/(z^6*z^-8)	$\sqrt[6]{\frac{1}{z^{6} \cdot z^{- 8}}}$
6382	Solve the System of Inequalities	7x+39>=53 and 16x+15>31	$7 x + 39 \geq 53$ and $16 x + 15 > 31$
6383	Solve the Inequality for r	r-10>-7	$r - 10 > - 7$
6384	Find the GCF	20-35n^2-20n^3	$20 - 35 n^{2} - 20 n^{3}$
6385	Simplify	2a+b-c-d+4a-3b-2c+5d	$2 a + b - c - d + 4 a - 3 b - 2 c + 5 d$
6386	Solve for x	2x^(1/3)-2=0	$2 x^{\frac{1}{3}} - 2 = 0$
6387	Simplify	square root of 1/128c^4d^7	$\sqrt{\frac{1}{128} c^{4} d^{7}}$
6388	Find the Slope of the Tangent Line at (25,5)	y = square root of x , (25,5)	$y = \sqrt{x}$ , $(25, 5)$
6389	Solve for t	-10+2t=-20-16t+17t	$- 10 + 2 t = - 20 - 16 t + 17 t$
6390	Simplify	- square root of 121x^4y^6z^8	$- \sqrt{121 x^{4} y^{6} z^{8}}$
6391	Graph	x^2+y^2>=36 x^2+9(y+6)^2<=36	$x^{2} + y^{2} \geq 36$ $x^{2} + 9 {(y + 6)}^{2} \leq 36$
6392	Solve for y	4(3y+5)=y-8(-y-4)	$4 (3 y + 5) = y - 8 (- y - 4)$
6393	Find the Product	2x(x^2+x-5)	$2 x (x^{2} + x - 5)$
6394	Solve for r	square root of r+12=2+ square root of r	$\sqrt{r + 12} = 2 + \sqrt{r}$
6395	Simplify	(4^(2/3))^3	${(4^{\frac{2}{3}})}^{3}$
6396	Solve for x	2- fourth root of 2x-6=14	$2 - \sqrt[4]{2 x - 6} = 14$
6397	Factor	25x^2+16-40x-64y^2	$25 x^{2} + 16 - 40 x - 64 y^{2}$
6398	Describe the Transformation	y=2 square root of x-5	$y = 2 \sqrt{x - 5}$
6399	Write the Fraction in Simplest Form	(20z^10)/((5z^-2)^3)	$\frac{20 z^{10}}{{(5 z^{- 2})}^{3}}$
6400	Simplify	(56x^4y^5-49x^3y^6-35x^2y^3)/(7x^2y^2)	$\frac{56 x^{4} y^{5} - 49 x^{3} y^{6} - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$