Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23201	Evaluate	1/81<9^(2x-4)	$\frac{1}{81} < 9^{2 x - 4}$
23202	Simplify	( square root of 40m^3)/( square root of 10n^4)	$\frac{\sqrt{40 m^{3}}}{\sqrt{10 n^{4}}}$
23203	Find the Inverse	f(x) = square root of x-2 ; for x>=2	$f (x) = \sqrt{x - 2}$ ; for $x \geq 2$
23204	Solve the Inequality for x	3x^2+14x-180>=2x	$3 x^{2} + 14 x - 180 \geq 2 x$
23205	Solve the Function Operation	g(n)=-2n+5 f(n)=-2n Find (g*f)(n)	$g (n) = - 2 n + 5$ $f (n) = - 2 n$ Find $(g \cdot f) (n)$
23206	Simplify	(6x-30)/(x^2-7x+10)*(7x-14)/(6x)	$\frac{6 x - 30}{x^{2} - 7 x + 10} \cdot \frac{7 x - 14}{6 x}$
23207	Simplify	(5^2)-(-5^2)	$(5^{2}) - (- 5^{2})$
23208	Solve the System of Equations	x+y-z=6 3x-2y+z=-5 x+3y-2z=14	$x + y - z = 6$ $3 x - 2 y + z = - 5$ $x + 3 y - 2 z = 14$
23209	Solve for c	-7-c^2=-17	$- 7 - c^{2} = - 17$
23210	Find the Domain and Range	y=1/2*(1/4)^x	$y = \frac{1}{2} \cdot {(\frac{1}{4})}^{x}$
23211	Find the Integral	1/(1+2x)	$\frac{1}{1 + 2 x}$
23212	Simplify	(d^-2)/(e^-5)	$\frac{d^{- 2}}{e^{- 5}}$
23213	Simplify	16(1+0.09)^8	$16 {(1 + 0.09)}^{8}$
23214	Graph	f(x)=1/2(1/5)^(x+5)+8	$f (x) = \frac{1}{2} {(\frac{1}{5})}^{x + 5} + 8$
23215	Simplify the Radical Expression	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
23216	Solve for k	-2(k-5)+2k=5k+5	$- 2 (k - 5) + 2 k = 5 k + 5$
23217	Find the Quotient	(x^4-3x^3+6x^2-12x+8)÷(x-1)	$(x^{4} - 3 x^{3} + 6 x^{2} - 12 x + 8) \div (x - 1)$
23218	Find the Degree, Leading Term, and Leading Coefficient	k(x)=2(x-3)^2(x+1)^3(x+2)	$k (x) = 2 {(x - 3)}^{2} {(x + 1)}^{3} (x + 2)$
23219	Solve for y	x=( square root of 5y)/15	$x = \frac{\sqrt{5 y}}{15}$
23220	Describe the Transformation	square root of -7(x+3)+2	$\sqrt{- 7 (x + 3)} + 2$
23221	Find the Derivative of the Integral	g(x) = integral from -19 to x^2 of (t-169)^92(5t-245)^37 with respect to t	$g (x) = \int_{- 19}^{x^{2}} {(t - 169)}^{92} {(5 t - 245)}^{37} d t$
23222	Simplify	x^9y^4(4x^-1y^2)^3	$x^{9} y^{4} {(4 x^{- 1} y^{2})}^{3}$
23223	Solve for x	x+5.5+8=5x-13.5-4x	$x + 5.5 + 8 = 5 x - 13.5 - 4 x$
23224	Add	cube root of 24+ square root of 80+6 square root of 40	$\sqrt[3]{24} + \sqrt{80} + 6 \sqrt{40}$
23225	Simplify the Radical Expression	3 square root of 4x	$3 \sqrt{4 x}$
23226	Solve for q	3/p+1/q=16/(5p)	$\frac{3}{p} + \frac{1}{q} = \frac{16}{5 p}$
23227	Simplify the Radical Expression	(2+ square root of 3)(2- square root of 3)	$(2 + \sqrt{3}) (2 - \sqrt{3})$
23228	Find the Asymptotes	(x^3-2x^2+5)/(x^2)	$\frac{x^{3} - 2 x^{2} + 5}{x^{2}}$
23229	Simplify	(xx^5)/(x^2x)	$\frac{x \cdot x^{5}}{x^{2} \cdot x}$
23230	Evaluate Using the Given Value	Evaluate 1/2a^-4b^2 for a=-2 and b=4	Evaluate $\frac{1}{2} a^{- 4} b^{2}$ for $a = - 2$ and $b = 4$
23231	Simplify	(3y(y-8)(y^2+2y-24))/(15y^2(y^2-12y+32))	$\frac{3 y (y - 8) (y^{2} + 2 y - 24)}{15 y^{2} (y^{2} - 12 y + 32)}$
23232	Solve the Inequality for m	3m+2<5	$3 m + 2 < 5$
23233	Graph	f(x)=3x+3\|x\|	$f (x) = 3 x + 3 \| x \|$
23234	Convert from Radians to Degrees	(7pi)/3rad	$\frac{7 π}{3}$ rad
23235	Simplify	2 2/3m+2/3m-m	$2 \frac{2}{3} m + \frac{2}{3} m - m$
23236	Divide	(x^2-4xy)÷x	$(x^{2} - 4 x y) \div x$
23237	Find dy/dx	5y^3-x^3=x^2y	$5 y^{3} - x^{3} = x^{2} y$
23238	Solve for x	12x-2(4-x)+4-(1-x)=3(x+2)-4(x-2)+10	$12 x - 2 (4 - x) + 4 - (1 - x) = 3 (x + 2) - 4 (x - 2) + 10$
23239	Find the LCM	4 and 14	$4$ and $14$
23240	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+7x^2+14x+10 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 7 x^{2} + 14 x + 10$ is divided by $x + 1$
23241	Solve for d	-1/4(d+1)<2	$- \frac{1}{4} (d + 1) < 2$
23242	Simplify	(16/(m-1))/(16/5-16/25)	$\frac{\frac{16}{m - 1}}{\frac{16}{5} - \frac{16}{25}}$
23243	Find All Complex Solutions	square root of x=-3	$\sqrt{x} = - 3$
23244	Solve the System of Equations	6x=7-2y 4x+y=4	$6 x = 7 - 2 y$ $4 x + y = 4$
23245	Simplify	square root of 25* cube root of -8	$\sqrt{25} \cdot \sqrt[3]{- 8}$
23246	Evaluate	(5^2-9*3)^2-11	${(5^{2} - 9 \cdot 3)}^{2} - 11$
23247	Find the Antiderivative	(x+2)/x	$\frac{x + 2}{x}$
23248	Factor	2m(32m+1)+3(53m-2)	$2 m (32 m + 1) + 3 (53 m - 2)$
23249	Find dy/dx	-x-4x^2=y^2	$- x - 4 x^{2} = y^{2}$
23250	Subtract	-7x-9-4x^2+3x-5	$- 7 x - 9 - 4 x^{2} + 3 x - 5$
23251	Solve for y	log base 9 of y=1/2	$\log_{9} (y) = \frac{1}{2}$
23252	Find g(f(x))	f(x)=-2x+5 g(x)=x^2+x+10	$f (x) = - 2 x + 5$ $g (x) = x^{2} + x + 10$
23253	Evaluate Using L'Hospital's Rule	limit as x approaches -3 of (3sin(2x+6))/(3+x)	$lim_{x \to - 3} \frac{3 \sin (2 x + 6)}{3 + x}$
23254	Find the Linearization at θ=0	f(theta)=sin(theta+pi/3) , theta=0	$f (θ) = \sin (θ + \frac{π}{3})$ , $θ = 0$
23255	Integrate Using u-Substitution	integral of (2x^3+2x)u(x) with respect to x=x^6+2x^4+x^2+C	$\int (2 x^{3} + 2 x) u (x) d x = x^{6} + 2 x^{4} + x^{2} + C$
23256	Simplify	(3(4)^2-3)/((2*7)+1)	$\frac{3 {(4)}^{2} - 3}{(2 \cdot 7) + 1}$
23257	Find the Antiderivative	f(x)=5sin(x/5)+cos(2x)	$f (x) = 5 \sin (\frac{x}{5}) + \cos (2 x)$
23258	Solve for x	(x-8)/4<=(x-4)/6+1/12	$\frac{x - 8}{4} \leq \frac{x - 4}{6} + \frac{1}{12}$
23259	Find the Roots (Zeros)	(2x-1)	$(2 x - 1)$
23260	Add	7x^2y^2+12xy^2-3x^2y+11-12xy^2+20x^2y+11xy-5	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$
23261	Simplify	130(y/5-1/13)	$130 (\frac{y}{5} - \frac{1}{13})$
23262	Simplify	3x^-2*(2x)^3	$3 x^{- 2} \cdot {(2 x)}^{3}$
23263	Find the Product	2h(-7h^2-4h)	$2 h (- 7 h^{2} - 4 h)$
23264	Simplify	x^3x^-4y^0	$x^{3} \cdot x^{- 4} \cdot y^{0}$
23265	Simplify	square root of x^16+16x^8	$\sqrt{x^{16} + 16 x^{8}}$
23266	Simplify	eighth root of (n^2p^-1)/(n^18p^7)	$\sqrt[8]{\frac{n^{2} p^{- 1}}{n^{18} p^{7}}}$
23267	Solve the Inequality for z	2(2.1z+4.5)<=21.6	$2 (2.1 z + 4.5) \leq 21.6$
23268	Add	2 square root of 3 , -5 square root of 2 , 10 square root of 3 , 14 square root of 2 , -3 square root of 2	$2 \sqrt{3}$ , $- 5 \sqrt{2}$ , $10 \sqrt{3}$ , $14 \sqrt{2}$ , $- 3 \sqrt{2}$
23269	Graph	y>x y<=-x+2	$y > x$ $y \leq - x + 2$
23270	Find All Complex Solutions	x/3-1/4=1/3-x/4	$\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$
23271	Solve the System of Inequalities	5m-10<=-45 and -1-m>=-4	$5 m - 10 \leq - 45$ and $- 1 - m \geq - 4$
23272	Multiply	- cube root of 2x^2y^2*2 cube root of 15x^5y	$- \sqrt[3]{2 x^{2} y^{2}} \cdot 2 \sqrt[3]{15 x^{5} y}$
23273	Solve for x	(5x)÷6=20	$5 x \div 6 = 20$
23274	Simplify the Radical Expression	(b^(1/5))/b	$\frac{b^{\frac{1}{5}}}{b}$
23275	Write the Fraction in Simplest Form	(2q^-9b)/(5(q^-5b^-4)^2)	$\frac{2 q^{- 9} b}{5 {(q^{- 5} b^{- 4})}^{2}}$
23276	Solve for y	-5+11y-3=25	$- 5 + 11 y - 3 = 25$
23277	Find the Exact Value	3+3*3+3	$3 + 3 \cdot 3 + 3$
23278	Simplify	3/(4x^3)+1/x	$\frac{3}{4 x^{3}} + \frac{1}{x}$
23279	Simplify	(a^(2/3)b^(-1/4))^0	${(a^{\frac{2}{3}} b^{- \frac{1}{4}})}^{0}$
23280	Find Amplitude, Period, and Phase Shift	y=(2pi)/3sec(3x)	$y = \frac{2 π}{3} \sec (3 x)$
23281	Determine if a Polynomial	1/2x^2-7y	$\frac{1}{2} x^{2} - 7 y$
23282	Evaluate the Integral	integral of (-5x^3+6x^4+5x^-3) with respect to x	$\int (- 5 x^{3} + 6 x^{4} + 5 x^{- 3}) d x$
23283	Multiply	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
23284	Evaluate	(3^2-4*3+3)/(3-3)	$\frac{3^{2} - 4 \cdot 3 + 3}{3 - 3}$
23285	Calculate the Square Root	square root of 36/16	$\sqrt{\frac{36}{16}}$
23286	Find the x and y Intercepts	f(x)=-5(x+1)(x^2-3)(x+1)(4x+5)^2	$f (x) = - 5 (x + 1) (x^{2} - 3) (x + 1) {(4 x + 5)}^{2}$
23287	Solve the Inequality for w	14*10^(0.5w)=100	$14 \cdot 10^{0.5 w} = 100$
23288	Solve the System of Equations	4x+2y=6 and 3x+y=9	$4 x + 2 y = 6$ and $3 x + y = 9$
23289	Find the Excluded Values	(n^2-13n+36)/(n^2+n-90)	$\frac{n^{2} - 13 n + 36}{n^{2} + n - 90}$
23290	Evaluate	(c^4*c^3)/(c^6)	$\frac{c^{4} \cdot c^{3}}{c^{6}}$
23291	Simplify the Radical Expression	square root of 2* cube root of 2	$\sqrt{2} \cdot \sqrt[3]{2}$
23292	Simplify	square root of 3x^2*4 square root of 10x^2	$\sqrt{3 x^{2}} \cdot 4 \sqrt{10 x^{2}}$
23293	Solve for x	(2x-6)/20=39/(x+8)	$\frac{2 x - 6}{20} = \frac{39}{x + 8}$
23294	Solve the Inequality for x	(x+3)/(2x-1)>=0	$\frac{x + 3}{2 x - 1} \geq 0$
23295	Find the Asymptotes	(3x^2-243)/(2x^2+9x)	$\frac{3 x^{2} - 243}{2 x^{2} + 9 x}$
23296	Solve for x	2(x-7)^(1/2)-3=1	$2 {(x - 7)}^{\frac{1}{2}} - 3 = 1$
23297	Evaluate the Function	f(x)=x^3-9x-7 for x=10	$f (x) = x^{3} - 9 x - 7$ for $x = 10$
23298	Solve the Inequality for x	20>x/4+11	$20 > \frac{x}{4} + 11$
23299	Solve for b	(7b)÷12=4.2	$7 b \div 12 = 4.2$
23300	Simplify	((8x)/(x^2-1))/((10x)/(x+1))	$\frac{\frac{8 x}{x^{2} - 1}}{\frac{10 x}{x + 1}}$