Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17301	Simplify	(-9n+9+6n^4)-(-6n-7n^4)	$(- 9 n + 9 + 6 n^{4}) - (- 6 n - 7 n^{4})$
17302	Solve for x	2/3=x/4+x/3	$\frac{2}{3} = \frac{x}{4} + \frac{x}{3}$
17303	Simplify	(14 root of 4)/( seventh root of 4)	$\frac{\sqrt[14]{4}}{\sqrt[7]{4}}$
17304	Solve for x	cube root of x^2-x- cube root of x+99=0	$\sqrt[3]{x^{2} - x} - \sqrt[3]{x + 99} = 0$
17305	Simplify	1/(n^-8*n^3)	$\frac{1}{n^{- 8} \cdot n^{3}}$
17306	Evaluate	(xy^2)^3	${(x y^{2})}^{3}$
17307	Evaluate	-cos((3pi)/4)	$- \cos (\frac{3 π}{4})$
17308	Solve for x	850=(54.5)(4.42)+1/2(x)(4.22)^2	$850 = (54.5) (4.42) + \frac{1}{2} (x) {(4.22)}^{2}$
17309	Add	( square root of 3)/2+( square root of 3)/2	$\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2}$
17310	Find the Product	(2a-3b)(4a+5.5b+2.8)	$(2 a - 3 b) (4 a + 5.5 b + 2.8)$
17311	Solve for j	5/6+3j=-2/3	$\frac{5}{6} + 3 j = - \frac{2}{3}$
17312	Solve the Rational Equation for x	(4x)/(x+5)=x/(x+4)	$\frac{4 x}{x + 5} = \frac{x}{x + 4}$
17313	Multiply	3*2/10	$3 \cdot \frac{2}{10}$
17314	Simplify	square root of 5x^2* square root of 20x	$\sqrt{5 x^{2}} \cdot \sqrt{20 x}$
17315	Find the Third Term	3n^2-1	$3 n^{2} - 1$
17316	Solve for x	1/2+4/(x-4)=-2/(x-4)	$\frac{1}{2} + \frac{4}{x - 4} = - \frac{2}{x - 4}$
17317	Find the Roots (Zeros)	x^4-5x^3+2x^2+2x=0	$x^{4} - 5 x^{3} + 2 x^{2} + 2 x = 0$
17318	Solve for a	a-b=b-a	$a - b = b - a$
17319	Solve for m	k=2mn+2ml	$k = 2 m n + 2 ml$
17320	Graph	y>2 square root of x+7-5	$y > 2 \sqrt{x + 7} - 5$
17321	Solve the Function Operation	f(x)=-2x+4 g(x)=2x^2-2x-8 Find: (gof)(x)	$f (x) = - 2 x + 4$ $g (x) = 2 x^{2} - 2 x - 8$ Find: $((g \circ f)) (x)$
17322	Evaluate	1/2*4^1	$\frac{1}{2} \cdot 4^{1}$
17323	Solve for t	t-2/3=25 3/4	$t - \frac{2}{3} = 25 \frac{3}{4}$
17324	Solve the Inequality for x	\|x\|+7>16	$\| x \| + 7 > 16$
17325	Simplify	1/2(3+4t-10)	$\frac{1}{2} (3 + 4 t - 10)$
17326	Solve the Differential Equation	y'=y	$y' = y$
17327	Find the Derivative - d/dx	1-xe^y	$1 - x e^{y}$
17328	Simplify	(m^(-3/4)n^(-3/4))/((m^2n)^(1/2))	$\frac{m^{- \frac{3}{4}} n^{- \frac{3}{4}}}{{(m^{2} n)}^{\frac{1}{2}}}$
17329	Solve the Function Operation	f(x)=x+8 g(x)=2x^2-3x-11 Find: (gof)(x)	$f (x) = x + 8$ $g (x) = 2 x^{2} - 3 x - 11$ Find: $((g \circ f)) (x)$
17330	Find the GCF	12a^5b and 16a^4b^2	$12 a^{5} b$ and $16 a^{4} b^{2}$
17331	Simplify	((3x^-1)^-2)/((3x^2)^-2)	$\frac{{(3 x^{- 1})}^{- 2}}{{(3 x^{2})}^{- 2}}$
17332	Describe the Transformation	f(x) = square root of x g(x)=- square root of x-2	$f (x) = \sqrt{x}$ $g (x) = - \sqrt{x - 2}$
17333	Solve for m	square root of 36/9=1/3m^2-10	$\sqrt{\frac{36}{9}} = \frac{1}{3} m^{2} - 10$
17334	Solve for x	x/(x+2)+(x+7)/(x-3)=(3x+1)/(x-3)	$\frac{x}{x + 2} + \frac{x + 7}{x - 3} = \frac{3 x + 1}{x - 3}$
17335	Find the Degree	m+m^3-8m^4	$m + m^{3} - 8 m^{4}$
17336	Solve for q	1/4* natural log of 16q^8- natural log of 3 = natural log of 24	$\frac{1}{4} \cdot \ln (16 q^{8}) - \ln (3) = \ln (24)$
17337	Simplify	(5-i^7)-(9+i^10)	$(5 - i^{7}) - (9 + i^{10})$
17338	Simplify the Radical Expression	i^25	$i^{25}$
17339	Evaluate Using L'Hospital's Rule	limit as x approaches 0 from the right of sin(x)^x	$lim_{x \to 0^{+}} {\sin (x)}^{x}$
17340	Simplify	(3/(2^2))^-3	${(\frac{3}{2^{2}})}^{- 3}$
17341	Evaluate	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{- \frac{1}{4}}$
17342	Simplify	2/(3x)+1/x+7/(5x)	$\frac{2}{3 x} + \frac{1}{x} + \frac{7}{5 x}$
17343	Solve for r	r+2/3=5/6	$r + \frac{2}{3} = \frac{5}{6}$
17344	Graph	x/(x^2)	$\frac{x}{x^{2}}$
17345	Simplify	4/(x+2)-(3x+18)/(x^2+7x+10)	$\frac{4}{x + 2} - \frac{3 x + 18}{x^{2} + 7 x + 10}$
17346	Evaluate the Function	F(-2)=5^-2	$F (- 2) = 5^{- 2}$
17347	Convert to Radical Form	(3^5)/3	$\frac{3^{5}}{3}$
17348	Solve the Inequality for t	((3-4t)-12)/2<2t+3/2	$\frac{(3 - 4 t) - 12}{2} < 2 t + \frac{3}{2}$
17349	Graph	y<-1/2x+3 y>1/2x+1 y<3x+10	$y < - \frac{1}{2} x + 3$ $y > \frac{1}{2} x + 1$ $y < 3 x + 10$
17350	Rationalize the Denominator	9/(2 square root of 45)	$\frac{9}{2 \sqrt{45}}$
17351	Simplify the Radical Expression	(x^2)/( cube root of x)	$\frac{x^{2}}{\sqrt[3]{x}}$
17352	Simplify	2z^2(m^3-4m^8)-8m^5+m^10	$2 z^{2} (m^{3} - 4 m^{8}) - 8 m^{5} + m^{10}$
17353	Simplify	1/3 square root of -25	$\frac{1}{3} \sqrt{- 25}$
17354	Divide	((x^2-2x)/6)÷((3x-6)/x)	$\frac{x^{2} - 2 x}{6} \div \frac{3 x - 6}{x}$
17355	Write the Fraction in Simplest Form	(4z^-4t^10)/((3z^3t^-4)^2)	$\frac{4 z^{- 4} t^{10}}{{(3 z^{3} t^{- 4})}^{2}}$
17356	Solve the Rational Equation for x	(x+3)/(3x-2)-(x-3)/(3x+2)=-22/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{- 22}{9 x^{2} - 4}$
17357	Solve Using the Quadratic Formula	-15x^4+18x^2-4	$- 15 x^{4} + 18 x^{2} - 4$
17358	Solve for y	12y=2*2	$12 y = 2 \cdot 2$
17359	Simplify	(x+y)/(2xy-y^2)-(x-y)/(2x^2-xy)	$\frac{(x + y)}{2 x y - y^{2}} - \frac{(x - y)}{2 x^{2} - x y}$
17360	Solve for x	6x-(2x-1)=9x+2(2-x)	$6 x - (2 x - 1) = 9 x + 2 (2 - x)$
17361	Simplify	(-a^3b^5)^2(a^4b)^2	${(- a^{3} b^{5})}^{2} {(a^{4} b)}^{2}$
17362	Simplify	(3x-9)/(-12x+36)	$\frac{3 x - 9}{- 12 x + 36}$
17363	Simplify	square root of cube root of 5y^6	$\sqrt{\sqrt[3]{5 y^{6}}}$
17364	Solve the Inequality for x	1/2>(x/8)^(1/3)	$\frac{1}{2} > {(\frac{x}{8})}^{\frac{1}{3}}$
17365	Simplify	(2^0a^4b^2)^-2	${(2^{0} a^{4} b^{2})}^{- 2}$
17366	Graph	y=1/2sin(x+2/3pi)	$y = \frac{1}{2} \sin (x + \frac{2}{3} π)$
17367	Evaluate	(20-0)/(2006-1994)	$\frac{20 - 0}{2006 - 1994}$
17368	Simplify	(4x^2+2x-4)-(-5-4x+4x^2+x^3)	$(4 x^{2} + 2 x - 4) - (- 5 - 4 x + 4 x^{2} + x^{3})$
17369	Simplify	2^3+(6^2)÷9	$2^{3} + 6^{2} \div 9$
17370	Simplify	3^(-1/2)*3x^(9/2)(3x)^(-7/2)	$3^{- \frac{1}{2}} \cdot 3 x^{\frac{9}{2}} {(3 x)}^{- \frac{7}{2}}$
17371	Integrate Using u-Substitution	integral of (x^2)/((1+x^3)^2) with respect to x	$\int \frac{x^{2}}{{(1 + x^{3})}^{2}} d x$
17372	Solve for c	x^2+18x+c=25+c	$x^{2} + 18 x + c = 25 + c$
17373	Simplify	(x+1)/(3x+6)*(6x+12)/(x^2-1)	$\frac{x + 1}{3 x + 6} \cdot \frac{6 x + 12}{x^{2} - 1}$
17374	Simplify	cube root of 10yz^5* cube root of 4y^3	$\sqrt[3]{10 y z^{5}} \cdot \sqrt[3]{4 y^{3}}$
17375	Write in Slope-Intercept Form	y-5=2x	$y - 5 = 2 x$
17376	Find the Exact Value	3^-6*((3^4)÷(3^0))^2	$3^{- 6} \cdot {(3^{4} \div 3^{0})}^{2}$
17377	Divide	( square root of 27)/( square root of 48)	$\frac{\sqrt{27}}{\sqrt{48}}$
17378	Solve by Addition/Elimination	-4x-2y=-12 and 4x+8y=-24	$- 4 x - 2 y = - 12$ and $4 x + 8 y = - 24$
17379	Solve for x	(3x)/(x+1)+6/(2x)=7/x	$\frac{3 x}{x + 1} + \frac{6}{2 x} = \frac{7}{x}$
17380	Simplify	(2/(8m^3-64m^2))÷(1/(8m^2))	$\frac{2}{8 m^{3} - 64 m^{2}} \div \frac{1}{8 m^{2}}$
17381	Add	(x+4)/(x^2-4)+(-2x-2)/(x^2-4)	$\frac{x + 4}{x^{2} - 4} + \frac{- 2 x - 2}{x^{2} - 4}$
17382	Solve for m	-5/9m=1 11/12	$- \frac{5}{9} m = 1 \frac{11}{12}$
17383	Solve the Function Operation	Given that f(x)=x^2-5x-24 and g(x)=x-8 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 5 x - 24$ and $g (x) = x - 8$ ; find $(f - g) (x)$ and express the result in standard form.
17384	Simplify	8/(-3- square root of 14)	$\frac{8}{- 3 - \sqrt{14}}$
17385	Evaluate the Integral	integral of (x^3+1)/(x+2) with respect to x	$\int \frac{x^{3} + 1}{x + 2} d x$
17386	Solve for θ in Degrees	6csc(theta)+7=0	$6 \csc (θ) + 7 = 0$
17387	Write the Fraction in Simplest Form	(2(j^2)^4)/(-2j^5)	$\frac{2 {(j^{2})}^{4}}{- 2 j^{5}}$
17388	Find dy/dx	-xy-y^3=-x	$- x y - y^{3} = - x$
17389	Solve the Function Operation	f(x)=2x^2-7x-3 g(x)=3x-13 Find: (gof)(x)	$f (x) = 2 x^{2} - 7 x - 3$ $g (x) = 3 x - 13$ Find: $((g \circ f)) (x)$
17390	Evaluate	(2(7-3)^2)/(-4^2)	$\frac{2 {(7 - 3)}^{2}}{- 4^{2}}$
17391	Multiply	pi/4*2	$\frac{π}{4} \cdot 2$
17392	Write the Fraction in Simplest Form	fourth root of (405x^3y^3)/(5x^-1y)	$\sqrt[4]{\frac{405 x^{3} y^{3}}{5 x^{- 1} y}}$
17393	Subtract	(-9x^2y^2+5x^2y-11xy+1)-(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (4 x y - 13 x^{2} y + 7)$
17394	Write in Standard Form	9-x^2+2x^5-7x	$9 - x^{2} + 2 x^{5} - 7 x$
17395	Simplify	(x^(7/4)y^(-1/4))/(x^(3/4)y^(3/4))	$\frac{x^{\frac{7}{4}} y^{- \frac{1}{4}}}{x^{\frac{3}{4}} y^{\frac{3}{4}}}$
17396	Write the Fraction in Simplest Form	((b^7)/(4^5))^-3	${(\frac{b^{7}}{4^{5}})}^{- 3}$
17397	Rationalize the Denominator	fifth root of (( square root of 4x)^2( cube root of 3x)^3)/(( square root of 5)^2)	$\sqrt[5]{\frac{{(\sqrt{4 x})}^{2} {(\sqrt[3]{3 x})}^{3}}{{(\sqrt{5})}^{2}}}$
17398	Divide Using Synthetic Division	(3m^5+m-1)÷(m+1)	$(3 m^{5} + m - 1) \div (m + 1)$
17399	Write in Standard Form	y=(3x+4)^2+5	$y = {(3 x + 4)}^{2} + 5$
17400	Simplify	((x+2)/(x^2-3x))/((x^2-4)/x)	$\frac{\frac{x + 2}{x^{2} - 3 x}}{\frac{x^{2} - 4}{x}}$