Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192301	Graph	P(x)=4/9x^3-2x^2	$P (x) = \frac{4}{9} x^{3} - 2 x^{2}$
192302	Evaluate	(2/( square root of 3))^2	${(\frac{2}{\sqrt{3}})}^{2}$
192303	Find the Domain and Range	r(x)=(x^3-2x^2-3x)/(x-3)	$r (x) = \frac{x^{3} - 2 x^{2} - 3 x}{x - 3}$
192304	Graph Using a Table of Values	f(x)=(x^2-4x+4)/(x^3-5x^2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{3} - 5 x^{2}}$
192305	Solve for w	5 log base 6 of 7w+1+3=13	$5 \log_{6} (7 w + 1) + 3 = 13$
192306	Find the Product	(x+3)/(3x+6)*(6x)/(x^2+5x+6)	$\frac{x + 3}{3 x + 6} \cdot \frac{6 x}{x^{2} + 5 x + 6}$
192307	Find the Axis of Symmetry	(x^2)/81+(y^2)/16=1	$\frac{x^{2}}{81} + \frac{y^{2}}{16} = 1$
192308	Solve for x	(3ax)/5-4c=(ax)/5	$\frac{3 a x}{5} - 4 c = \frac{a x}{5}$
192309	Evaluate	2^(2x-3)=16	$2^{2 x - 3} = 16$
192310	Multiply	-0.2*(-5/6)	$- 0.2 \cdot (- \frac{5}{6})$
192311	Find the Holes in the Graph	f(x)=(4x-24)/(2x-4)	$f (x) = \frac{4 x - 24}{2 x - 4}$
192312	Simplify	6/(2x^2)+x/(x^2-x)	$\frac{6}{2 x^{2}} + \frac{x}{x^{2} - x}$
192313	Find the Product	8y^3(-3y^2)	$8 y^{3} (- 3 y^{2})$
192314	Combine Like Terms	7v+2+12+2v	$7 v + 2 + 12 + 2 v$
192315	Graph	x^2(x-2)	$x^{2} (x - 2)$
192316	Solve for x	y=(7+x)m	$y = (7 + x) m$
192317	Solve for z	23z+19=3(5z-9)+8z+46	$23 z + 19 = 3 (5 z - 9) + 8 z + 46$
192318	Solve for x	y=x/4	$y = \frac{x}{4}$
192319	Simplify	(x-1)/(x+2-(x^2+2)/(x-(x-2)/(x+1)))	$\frac{x - 1}{x + 2 - \frac{x^{2} + 2}{x - \frac{x - 2}{x + 1}}}$
192320	Simplify	(-16x^2y^7)/(12x^5y^3z^4)	$\frac{- 16 x^{2} y^{7}}{12 x^{5} y^{3} z^{4}}$
192321	Factor by Grouping	150m^2nz+20mn^2c-120m^2nc-25mn^2z	$150 m^{2} n z + 20 m n^{2} c - 120 m^{2} n c - 25 m n^{2} z$
192322	Solve for x	7+x-(3+32÷8)=3	$7 + x - (3 + 32 \div 8) = 3$
192323	Multiply	(-19/29)(11y)	$(- \frac{19}{29}) (11 y)$
192324	Simplify the Radical Expression	3 square root of 16	$3 \sqrt{16}$
192325	Find the Exact Value	cube root of square root of 64	$\sqrt[3]{\sqrt{64}}$
192326	Find the Parallel Line	(7,2) which is parallel to the line y=-3x-2	$(7, 2)$ which is parallel to the line $y = - 3 x - 2$
192327	Multiply	62/32 1/2	$6 \cdot \frac{2}{3} \cdot 2 \frac{1}{2}$
192328	Simplify	4/(x^2-7x)+1/(x^2-4x-21)	$\frac{4}{x^{2} - 7 x} + \frac{1}{x^{2} - 4 x - 21}$
192329	Solve for x	-6-(2x+7)=-2(x+6)-1	$- 6 - (2 x + 7) = - 2 (x + 6) - 1$
192330	Solve for p	6p-3p+7p+4=44	$6 p - 3 p + 7 p + 4 = 44$
192331	Find g(f(x))	f(x)=5x-2 and g(x)=3x^2-4	$f (x) = 5 x - 2$ and $g (x) = 3 x^{2} - 4$
192332	Multiply	2 1/5*-4	$2 \frac{1}{5} \cdot - 4$
192333	Simplify	(25x^6y^2)/(25x^6y)	$\frac{25 x^{6} y^{2}}{25 x^{6} y}$
192334	Evaluate	5^(1+2)+8-6	$5^{1 + 2} + 8 - 6$
192335	Solve for a	(x^5)^(1/3) cube root of x^2=x^a	${(x^{5})}^{\frac{1}{3}} \sqrt[3]{x^{2}} = x^{a}$
192336	Solve for x	4/x+12/(x^2)=5	$\frac{4}{x} + \frac{12}{x^{2}} = 5$
192337	Graph	x+3y<=12 3x+y<=12 x>=0 y>=0	$x + 3 y \leq 12$ $3 x + y \leq 12$ $x \geq 0$ $y \geq 0$
192338	Solve the Inequality for x	-2-x<1/2	$- 2 - x < \frac{1}{2}$
192339	Evaluate	(7)+(12)	$(7) + (12)$
192340	Solve the System of Equations	x+y-z=4 3x+2y+4z=17 -x+5y+z=8	$x + y - z = 4$ $3 x + 2 y + 4 z = 17$ $- x + 5 y + z = 8$
192341	Factor	2x^4+x^2-3	$2 x^{4} + x^{2} - 3$
192342	Simplify	square root of 4xy^3* square root of 6y	$\sqrt{4 x y^{3}} \cdot \sqrt{6 y}$
192343	Solve the Inequality for x	-1/(x-6)<2/(9-x)	$\frac{- 1}{x - 6} < \frac{2}{9 - x}$
192344	Evaluate	log base 6 of 3+ log base 6 of 8- log base 6 of 4	$\log_{6} (3) + \log_{6} (8) - \log_{6} (4)$
192345	Factor	x^2+zy+xy+zx	$x^{2} + z y + x y + z x$
192346	Evaluate	4+8÷39+(3^0)÷714	$4 + 8 \div 3 \times 9 + 3^{0} \div 7 \times 14$
192347	Solve for x	(2x+9)/(4x)+(3x+1)/x=1/4	$\frac{2 x + 9}{4 x} + \frac{3 x + 1}{x} = \frac{1}{4}$
192348	Simplify	((2p)/(3q^2r^3))^-3*((p^3r^2)/(q^4))^2	${(\frac{2 p}{3 q^{2} r^{3}})}^{- 3} \cdot {(\frac{p^{3} r^{2}}{q^{4}})}^{2}$
192349	Solve the Inequality for x	x(2x+3)>=0	$x (2 x + 3) \geq 0$
192350	Subtract	(4r^3+3r^4)-(r^4-5r^3)	$(4 r^{3} + 3 r^{4}) - (r^{4} - 5 r^{3})$
192351	Simplify	(14x^3y^-4)(4x^-5y^4)	$(14 x^{3} y^{- 4}) (4 x^{- 5} y^{4})$
192352	Simplify	i/(3-2i)+(2i)/(3+8i)	$\frac{i}{3 - 2 i} + \frac{2 i}{3 + 8 i}$
192353	Solve for x	2x(x+1.5)=-1	$2 x (x + 1.5) = - 1$
192354	Solve for v	h=vt-5t^2 ; for v	$h = v t - 5 t^{2}$ ; for $v$
192355	Solve the Inequality for x	5<-9-x	$5 < - 9 - x$
192356	Graph	y=-1/2tan(1/2x)	$y = - \frac{1}{2} \tan (\frac{1}{2} x)$
192357	Solve the Inequality for x	(2x-5)^2-0.5x<(2x-1)(2x+1)-15	${(2 x - 5)}^{2} - 0.5 x < (2 x - 1) (2 x + 1) - 15$
192358	Combine Like Terms	(-5x^2-9x+6)+(6x^2+10)	$(- 5 x^{2} - 9 x + 6) + (6 x^{2} + 10)$
192359	Solve the System of Inequalities	2x-4>=2 or -4x+6>2	$2 x - 4 \geq 2$ or $- 4 x + 6 > 2$
192360	Solve the Inequality for x	(x+12)/(x+2)>=3	$\frac{x + 12}{x + 2} \geq 3$
192361	Solve for y	4/5y-1/2=2/4-3/10y	$\frac{4}{5} y - \frac{1}{2} = \frac{2}{4} - \frac{3}{10} y$
192362	Find the Discriminant	5x^2-x=4x^2+2	$5 x^{2} - x = 4 x^{2} + 2$
192363	Evaluate	16+56÷(2^3)-17	$16 + 56 \div 2^{3} - 17$
192364	Write as a Single Logarithm	natural log of x+ natural log of 2	$\ln (x) + \ln (2)$
192365	Solve for z	2.4z+1.2z-6.5=0.7	$2.4 z + 1.2 z - 6.5 = 0.7$
192366	Divide	((y+3)/(y+1))÷((y^2+4y+3)/(-5-5y))	$\frac{y + 3}{y + 1} \div \frac{y^{2} + 4 y + 3}{- 5 - 5 y}$
192367	Find the Exact Value	tan(-22.5 degrees )	$\tan (- 22.5 °)$
192368	Solve for θ	cos(theta/2)=-1/2	$\cos (\frac{θ}{2}) = - \frac{1}{2}$
192369	Graph	-6(1+7k)+7(1+6k)<=-2	$- 6 (1 + 7 k) + 7 (1 + 6 k) \leq - 2$
192370	Find All Complex Solutions	cos(4x)-1=0	$\cos (4 x) - 1 = 0$
192371	Find the Exact Value	4*1/2	$4 \cdot \frac{1}{2}$
192372	Solve for y	y-2/3x=-6	$y - \frac{2}{3} x = - 6$
192373	Simplify	2(0)^2	$2 {(0)}^{2}$
192374	Combine Like Terms	(10x^2-x+1)-(9x-2)	$(10 x^{2} - x + 1) - (9 x - 2)$
192375	Factor	2x^4y-18x^2y^3	$2 x^{4} y - 18 x^{2} y^{3}$
192376	Solve for x	(25/9)^(3x)=243/3125	${(\frac{25}{9})}^{3 x} = \frac{243}{3125}$
192377	Simplify	(7b)/4-(3b)/4	$\frac{7 b}{4} - \frac{3 b}{4}$
192378	Find the x and y Intercepts	f(x)=-8+x^4	$f (x) = - 8 + x^{4}$
192379	Factor	(m+n)^2+(m+n)+1/4	${(m + n)}^{2} + (m + n) + \frac{1}{4}$
192380	Solve the Inequality for p	4(p-4)>12	$4 (p - 4) > 12$
192381	Graph	y>=-\|x-5\|-3	$y \geq - \| x - 5 \| - 3$
192382	Divide	( square root of 6+ square root of 11)/( square root of 5+ square root of 3)	$\frac{\sqrt{6} + \sqrt{11}}{\sqrt{5} + \sqrt{3}}$
192383	Simplify	1/2(x-2)	$\frac{1}{2} (x - 2)$
192384	Solve the Inequality for x	4x(x-2)<2(2x-1)(x-3)	$4 x (x - 2) < 2 (2 x - 1) (x - 3)$
192385	Evaluate the Function	f(x) = square root of x+4 at x=5	$f (x) = \sqrt{x + 4}$ at $x = 5$
192386	Evaluate	(2pi)/1*2/pi	$\frac{2 π}{1} \cdot \frac{2}{π}$
192387	Find the End Behavior	R(x)=-x^5+4x^3-9x	$R (x) = - x^{5} + 4 x^{3} - 9 x$
192388	Solve for m	\|m-2\|<8	$\| m - 2 \| < 8$
192389	Solve by Completing the Square	x^2-18x+209=2x+11	$x^{2} - 18 x + 209 = 2 x + 11$
192390	Simplify	(-5-5i)+(-1-8i)+9i	$(- 5 - 5 i) + (- 1 - 8 i) + 9 i$
192391	Solve the Inequality for x	x^3-2x^2-3x>0	$x^{3} - 2 x^{2} - 3 x > 0$
192392	Multiply	x^2-5x+2*3x^2+2x+3	$x^{2} - 5 x + 2 \cdot 3 x^{2} + 2 x + 3$
192393	Solve for x	(2pi)/x=2pi	$\frac{2 π}{x} = 2 π$
192394	Graph	-1/2x>=-8	$- \frac{1}{2} x \geq - 8$
192395	Solve for x	2x=pi	$2 x = π$
192396	Factor	x-x^4	$x - x^{4}$
192397	Find f(g(x))	f(x) = square root of x and g(x)=x+7	$f (x) = \sqrt{x}$ and $g (x) = x + 7$
192398	Evaluate Using the Given Value	3(x-1)+2 when x=5	$3 (x - 1) + 2$ when $x = 5$
192399	Solve the System of Equations	1/2x-1/3y=-12 -4/5x+7y=-1/5	$\frac{1}{2} x - \frac{1}{3} y = - 12$ $- \frac{4}{5} x + 7 y = - \frac{1}{5}$
192400	Find the Domain and Range	1/(x^2-x)	$\frac{1}{x^{2} - x}$