Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7301	Find the Roots (Zeros)	f(x) = log base 9 of 4x+3+ log base 9 of x-2	$f (x) = \log_{9} (4 x + 3) + \log_{9} (x - 2)$
7302	Divide Using Synthetic Division	(8x^3+2x^2-5x+1)÷(x-1/2)	$(8 x^{3} + 2 x^{2} - 5 x + 1) \div (x - \frac{1}{2})$
7303	Graph	x>=-2 y>=x-2 x+y<=2	$x \geq - 2$ $y \geq x - 2$ $x + y \leq 2$
7304	Rationalize the Denominator	4/(4+ square root of 2)	$\frac{4}{4 + \sqrt{2}}$
7305	Simplify	(3x^2)/(x+5)+(15x)/(x+5)	$\frac{3 x^{2}}{x + 5} + \frac{15 x}{x + 5}$
7306	Solve for w	-18+18w+16=15w+19	$- 18 + 18 w + 16 = 15 w + 19$
7307	Simplify	1/4x+(5x)/2	$\frac{1}{4} x + \frac{5 x}{2}$
7308	Evaluate the Integral	integral of 3/( square root of x^5) with respect to x	$\int \frac{3}{\sqrt{x^{5}}} d x$
7309	Subtract	(x^2-3x+4)-(x^3+7x-2)	$(x^{2} - 3 x + 4) - (x^{3} + 7 x - 2)$
7310	Simplify	((x^2)^-3)/(x^8)	$\frac{{(x^{2})}^{- 3}}{x^{8}}$
7311	Evaluate	square root of (5- square root of 10)^2	$\sqrt{{(5 - \sqrt{10})}^{2}}$
7312	Simplify	cube root of 2x+-11 cube root of 2x	$\sqrt[3]{2 x} + - 11 \sqrt[3]{2 x}$
7313	Simplify	4 1/3u^5v^3*(3 1/4u^3v^2-v^2+u)	$4 \frac{1}{3} u^{5} v^{3} \cdot (3 \frac{1}{4} u^{3} v^{2} - v^{2} + u)$
7314	Find the Degree, Leading Term, and Leading Coefficient	(x^5)/5+1-x^4+9x^2	$\frac{x^{5}}{5} + 1 - x^{4} + 9 x^{2}$
7315	Multiply	square root of x* fourth root of x	$\sqrt{x} \cdot \sqrt[4]{x}$
7316	Simplify	(1/2y^5)^3(2y^2)^4	${(\frac{1}{2} y^{5})}^{3} {(2 y^{2})}^{4}$
7317	Simplify	cube root of x/(4y)	$\sqrt[3]{\frac{x}{4 y}}$
7318	Graph	f(x)=(\|\|x\|\|+2)/2 ; if 0<=x<6	$f (x) = \frac{\| \| x \| \| + 2}{2}$ ; if $0 \leq x < 6$
7319	Write in Standard Form	11x^2-88x-59=5y^2+60y	$11 x^{2} - 88 x - 59 = 5 y^{2} + 60 y$
7320	Solve by Factoring	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
7321	Graph	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
7322	Graph	(2-x)^2+3	${(2 - x)}^{2} + 3$
7323	Solve for u	69u-12.1-31.3=67u-21.4	$69 u - 12.1 - 31.3 = 67 u - 21.4$
7324	Simplify	square root of 72*2	$\sqrt{72} \cdot 2$
7325	Solve for N	5/12=35/N	$\frac{5}{12} = \frac{35}{N}$
7326	Simplify	(3x-4y)^2-(3x-4y)(3x+4y)	${(3 x - 4 y)}^{2} - (3 x - 4 y) (3 x + 4 y)$
7327	Solve for x	5^(3x^2+3)=25^(12x-21)	$5^{3 x^{2} + 3} = 25^{12 x - 21}$
7328	Solve for n	-7=1+2/3n	$- 7 = 1 + \frac{2}{3} n$
7329	Simplify	2^(2/3)*16^(2/3)	$2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}$
7330	Simplify	(4^-1+2^-3)^-2	${(4^{- 1} + 2^{- 3})}^{- 2}$
7331	Evaluate	5(x-134)=3(x-60)	$5 (x - 134) = 3 (x - 60)$
7332	Solve for x	4(3x-2)=2(x-5(x-6))	$4 (3 x - 2) = 2 (x - 5 (x - 6))$
7333	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5x^2+7x-3	$f (x) = 5 x^{2} + 7 x - 3$
7334	Evaluate	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
7335	Solve for h	-15h-17+14=15-13h	$- 15 h - 17 + 14 = 15 - 13 h$
7336	Solve for m	m+4>9	$m + 4 > 9$
7337	Simplify	((x^2+2x+1)/(x^2-3x-18))/((x^2-1)/(x^2-7x+6))	$\frac{\frac{x^{2} + 2 x + 1}{x^{2} - 3 x - 18}}{\frac{x^{2} - 1}{x^{2} - 7 x + 6}}$
7338	Solve the System of Equations	3x+y=1/3 2x-3y=8/3	$3 x + y = \frac{1}{3}$ $2 x - 3 y = \frac{8}{3}$
7339	Evaluate	natural log of \|e\|	$\ln (\| e \|)$
7340	Graph	\|2x\|=\|x+3\|	$\| 2 x \| = \| x + 3 \|$
7341	Divide Using Long Polynomial Division	(5x^4+2x^3+7x^2+6x-24)÷(x^2+3)	$(5 x^{4} + 2 x^{3} + 7 x^{2} + 6 x - 24) \div (x^{2} + 3)$
7342	Divide	(12x^2-4x-8)/(4x)	$\frac{12 x^{2} - 4 x - 8}{4 x}$
7343	Find the Product	(3+ square root of 5)(3- square root of 5)	$(3 + \sqrt{5}) (3 - \sqrt{5})$
7344	Convert to Radical Form	(3x^2+5)^(-2/5)	${(3 x^{2} + 5)}^{- \frac{2}{5}}$
7345	Simplify	(20x^2+30x)/(4x^4+6x^3)	$\frac{20 x^{2} + 30 x}{4 x^{4} + 6 x^{3}}$
7346	Find the x and y Intercepts	y=x^2(x-1)	$y = x^{2} (x - 1)$
7347	Find the Degree, Leading Term, and Leading Coefficient	-7x^2-2+1/4x^3	$- 7 x^{2} - 2 + \frac{1}{4} x^{3}$
7348	Convert to Radical Form	1/((5x)^(-1/4))	$\frac{1}{{(5 x)}^{- \frac{1}{4}}}$
7349	Determine if (5,4) is a Solution	x-y>2 , (5,4)	$x - y > 2$ , $(5, 4)$
7350	Evaluate	4*1+3^2-6÷2	$4 \times 1 + 3^{2} - 6 \div 2$
7351	Solve the Inequality for a	-a/5<-14	$- \frac{a}{5} < - 14$
7352	Solve for B	4=(2pi)/B	$4 = \frac{2 π}{B}$
7353	Solve for h	v = square root of 2gr square root of h/(r+h)	$v = \sqrt{2 g r} \sqrt{\frac{h}{r + h}}$
7354	Simplify	Find the sum of -3x^2-x-10 and 10x^2+x-10	Find the sum of $- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$
7355	Solve for x	2x+3(x-2)=6(x+1)+x	$2 x + 3 (x - 2) = 6 (x + 1) + x$
7356	Solve for x	1/3x-1/4(x-4)=4x	$\frac{1}{3} x - \frac{1}{4} (x - 4) = 4 x$
7357	Solve for x	( square root of 20-x)^3=343	${(\sqrt{20 - x})}^{3} = 343$
7358	Simplify the Radical Expression	square root of square root of 16	$\sqrt{\sqrt{16}}$
7359	Solve for x	3^(5x-1)<=27^(x+3)	$3^{5 x - 1} \leq 27^{x + 3}$
7360	Simplify	2r square root of 49s^5t^10	$2 r \sqrt{49 s^{5} t^{10}}$
7361	Simplify	(x^2y^3z^5)(5x^3y^2)	$(x^{2} y^{3} z^{5}) (5 x^{3} y^{2})$
7362	Simplify	6x-4x^2-7x^3+9x^2-5x	$6 x - 4 x^{2} - 7 x^{3} + 9 x^{2} - 5 x$
7363	Solve for m	2m^2+10=0	$2 m^{2} + 10 = 0$
7364	Evaluate	5*2^(-3t)=45	$5 \cdot 2^{- 3 t} = 45$
7365	Solve for x	1-3/(1-x)=(x+5)/(x^2-1)	$1 - \frac{3}{1 - x} = \frac{x + 5}{x^{2} - 1}$
7366	Evaluate	(5/8+3/4)/(-2/3-5/6)	$\frac{\frac{5}{8} + \frac{3}{4}}{- \frac{2}{3} - \frac{5}{6}}$
7367	Find the Derivative - d/dx	y=e^(x-e)+ natural log of x-x/e	$y = e^{x - e} + \ln (x) - \frac{x}{e}$
7368	Graph	-16>x÷2	$- 16 > x \div 2$
7369	Simplify	4/(5y)15/2(30y)/6	$\frac{4}{5 y} \cdot \frac{15}{2} \cdot \frac{30 y}{6}$
7370	Evaluate	10*2^-2	$10 \cdot 2^{- 2}$
7371	Find the Derivative of the Integral	h(x) = integral from 0 to e^x of natural log of t with respect to t	$h (x) = \int_{0}^{e^{x}} \ln (t) d t$
7372	Solve for x	(x-3)/(2x)=(x-5)/x	$\frac{x - 3}{2 x} = \frac{x - 5}{x}$
7373	Simplify the Radical Expression	square root of cube root of 16	$\sqrt{\sqrt[3]{16}}$
7374	Evaluate	(4((6-4)^2-3(1/3-4/5))+2)- square root of 49	$(4 ({(6 - 4)}^{2} - 3 (\frac{1}{3} - \frac{4}{5})) + 2) - \sqrt{49}$
7375	Graph	y>x-4 y<=-1/4x+2	$y > x - 4$ $y \leq - \frac{1}{4} x + 2$
7376	Find the Maximum/Minimum Value	2cos(x-2pi)	$2 \cos (x - 2 π)$
7377	Solve for x	3x^2=-4+8x	$3 x^{2} = - 4 + 8 x$
7378	Evaluate	log base 1/6 of 1/1296=y	$\log_{\frac{1}{6}} (\frac{1}{1296}) = y$
7379	Solve for y	2(y+5)=x	$2 (y + 5) = x$
7380	Simplify	(2x^2+1)+(x^2-2x+1)	$(2 x^{2} + 1) + (x^{2} - 2 x + 1)$
7381	Convert from Radians to Degrees	10rad	$10$ radians
7382	Simplify	2/(x+3)-3/(x^2-9)	$\frac{2}{x + 3} - \frac{3}{x^{2} - 9}$
7383	Graph	2x+y>=0	$2 x + y \geq 0$
7384	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^4-2x^3	$f (x) = 8 x^{4} - 2 x^{3}$
7385	Evaluate the Limit	limit as x approaches 0 of (3^(2x)-1)/(3^(x+2)-9)	$lim_{x \to 0} \frac{3^{2 x} - 1}{3^{x + 2} - 9}$
7386	Simplify	-7xy^-2*xy	$- 7 x y^{- 2} \cdot x y$
7387	Evaluate	3(1/2)^1	$3 {(\frac{1}{2})}^{1}$
7388	Simplify	m/(4v^3)-5/(6mv)	$\frac{m}{4 v^{3}} - \frac{5}{6 m v}$
7389	Simplify	(-15)(x/2.5)(1/2)	$(- 15) (\frac{x}{2.5}) (\frac{1}{2})$
7390	Simplify	y^2 cube root of 750x^10y^10	$y^{2} \sqrt[3]{750 x^{10} y^{10}}$
7391	Solve the Function Operation	Solve for x and y*3x+2y=16 7x+y=19	Solve for $x$ and $y \cdot 3 x + 2 y = 16$ $7 x + y = 19$
7392	Factor	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
7393	Evaluate	-2^-1-2^0-2^-2	$- 2^{- 1} - 2^{0} - 2^{- 2}$
7394	Solve for x	1+ square root of x+2=0	$1 + \sqrt{x + 2} = 0$
7395	Solve for y	(4y)^(1/3)+3=5	${(4 y)}^{\frac{1}{3}} + 3 = 5$
7396	Solve for x	e^(3x+4)>11	$e^{3 x + 4} > 11$
7397	Factor	2mk-12m+42-7k	$2 m k - 12 m + 42 - 7 k$
7398	Expand the Logarithmic Expression	log base x of ( cube root of x+3)/( square root of x+4)	$\log_{x} (\frac{\sqrt[3]{x + 3}}{\sqrt{x + 4}})$
7399	Solve for x	(1/125)^(2x-28)=5^(2x^2-8x)	${(\frac{1}{125})}^{2 x - 28} = 5^{2 x^{2} - 8 x}$
7400	Convert to Interval Notation	-1<=(2x+3)/3<4	$- 1 \leq \frac{2 x + 3}{3} < 4$