Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209701	Evaluate	(y^-2y^6)/(x^-7x^6)	$\frac{y^{- 2} y^{6}}{x^{- 7} x^{6}}$
209702	Factor	Factor 4x^2-9	Factor $4 x^{2} - 9$
209703	Write as a Single Logarithm	1/3 log of x+3 log of x-3	$\frac{1}{3} \log (x) + 3 \log (x - 3)$
209704	Solve the Inequality for m	m+1/3<-2 1/4	$m + \frac{1}{3} < - 2 \frac{1}{4}$
209705	Graph	y=-0.0005x^2+1.2345x+-2.2	$y = - 0.0005 x^{2} + 1.2345 x + - 2.2$
209706	Simplify	-13m+2/5m(25m-10)	$- 13 m + \frac{2}{5} m (25 m - 10)$
209707	Simplify	(csc(theta)*cos(theta))/(tan(theta)+cot(theta))	$\frac{\csc (θ) \cdot \cos (θ)}{\tan (θ) + \cot (θ)}$
209708	Solve for x	log base 7 of 2x^2-2- log base 7 of x+1=1	$\log_{7} (2 x^{2} - 2) - \log_{7} (x + 1) = 1$
209709	Solve for b	4b^(-3/4)+10=21/2	$4 b^{- \frac{3}{4}} + 10 = \frac{21}{2}$
209710	Simplify	((-4)^-2)÷(4^-4)	${(- 4)}^{- 2} \div 4^{- 4}$
209711	Simplify the Radical Expression	3 square root of 2(4 square root of 2- square root of 3)	$3 \sqrt{2} (4 \sqrt{2} - \sqrt{3})$
209712	Solve for x	sin(x)+xcos(x)=0	$\sin (x) + x \cos (x) = 0$
209713	Find f(g(x))	f(x)=2x^3+2x-3 g(x)=-0.5\|x-4\|	$f (x) = 2 x^{3} + 2 x - 3$ $g (x) = - 0.5 \| x - 4 \|$
209714	Simplify	(y+4)^3-2y(y-1)	${(y + 4)}^{3} - 2 y (y - 1)$
209715	Divide	(5/8)÷4 1/6	$\frac{5}{8} \div 4 \frac{1}{6}$
209716	Simplify	(8x^2)/3*(8x^2)/9	$\frac{8 x^{2}}{3} \cdot \frac{8 x^{2}}{9}$
209717	Find the Axis of Symmetry	f(x)=2+4x-x^2	$f (x) = 2 + 4 x - x^{2}$
209718	Write in Standard Form	8a^3b^3	$8 a^{3} b^{3}$
209719	Simplify	cube root of (32x^12y^3)/(4x^3)	$\sqrt[3]{\frac{32 x^{12} y^{3}}{4 x^{3}}}$
209720	Find the Perfect Square Trinomial	(2x+3)(2x-4)	$(2 x + 3) (2 x - 4)$
209721	Simplify	( eighth root of 4)/( fourth root of 4)	$\frac{\sqrt[8]{4}}{\sqrt[4]{4}}$
209722	Simplify	(-4a^3b^2)^2*1/2a^3b	${(- 4 a^{3} b^{2})}^{2} \cdot \frac{1}{2} a^{3} b$
209723	Simplify	(3xy^-2)^2(2x^3yz)(6yz^2)^-1	${(3 x y^{- 2})}^{2} (2 x^{3} y z) {(6 y z^{2})}^{- 1}$
209724	Divide	(30x^4+12x^3+30x^2)÷6	$(30 x^{4} + 12 x^{3} + 30 x^{2}) \div 6$
209725	Simplify	((-9c^3d)/(c^2d^2))^2	${(\frac{- 9 c^{3} d}{c^{2} d^{2}})}^{2}$
209726	Write in Standard Form	(x^2)/3	$\frac{x^{2}}{3}$
209727	Solve by Substitution	y=8x-9 y=7	$y = 8 x - 9$ $y = 7$
209728	Solve the Inequality for x	((x-4)(x+1))/(x-3)<0	$\frac{(x - 4) (x + 1)}{x - 3} < 0$
209729	Evaluate	(7)(-4)+(3(11-15))/-2	$(7) (- 4) + \frac{3 (11 - 15)}{- 2}$
209730	Solve for x	\|x-5\|+\|x+2\|<8	$\| x - 5 \| + \| x + 2 \| < 8$
209731	Simplify	tan(x)^2sec(x)^2-tan(x)^2	$\tan^{2} (x) \sec^{2} (x) - \tan^{2} (x)$
209732	Graph	1/4y^2=x	$\frac{1}{4} y^{2} = x$
209733	Simplify the Radical Expression	(4+ square root of 2)/(5 square root of 2-2)	$\frac{4 + \sqrt{2}}{5 \sqrt{2} - 2}$
209734	Find the Exact Value	cos(arccsc((2)^-1))	$\cos (arccsc ({(2)}^{- 1}))$
209735	Simplify	(-4x^2y)(3xy^2-4xy)	$(- 4 x^{2} y) (3 x y^{2} - 4 x y)$
209736	Solve for x	-2/5(x+3)=8	$- \frac{2}{5} (x + 3) = 8$
209737	Find the Axis of Symmetry	f(x)=3x^2+x	$f (x) = 3 x^{2} + x$
209738	Find the x and y Intercepts	y=2/3	$y = \frac{2}{3}$
209739	Solve for x	\|x-2\|-3<=0	$\| x - 2 \| - 3 \leq 0$
209740	Simplify	(3x)/(x^2-2x-3)-(6x)/(x-3)	$\frac{3 x}{x^{2} - 2 x - 3} - \frac{6 x}{x - 3}$
209741	Solve for x	2/(x+1)=(x-6)/(x^2-1)	$\frac{2}{x + 1} = \frac{x - 6}{x^{2} - 1}$
209742	Simplify	(x/(x^2+1))((x^2+4)/3)	$(\frac{x}{x^{2} + 1}) (\frac{x^{2} + 4}{3})$
209743	Solve for c	18/c=3/5	$\frac{18}{c} = \frac{3}{5}$
209744	Solve for y	-4y-3=1/3(12y-9)-8y	$- 4 y - 3 = \frac{1}{3} (12 y - 9) - 8 y$
209745	Simplify	-2p^4q^-2*3p^-3q^-4	$- 2 p^{4} q^{- 2} \cdot 3 p^{- 3} q^{- 4}$
209746	Simplify	24 root of s*s^8	$\sqrt[24]{s \cdot s^{8}}$
209747	Evaluate the Function	f(1)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (1) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
209748	Solve the Inequality for f	26<f+32	$26 < f + 32$
209749	Convert to Radical Form	(x^3y^7z^4)^(1/2)	${(x^{3} y^{7} z^{4})}^{\frac{1}{2}}$
209750	Simplify	((x^2-6x+8)/(3x-12))÷((x^2-4)/(x^2+5x+6))	$\frac{x^{2} - 6 x + 8}{3 x - 12} \div \frac{x^{2} - 4}{x^{2} + 5 x + 6}$
209751	Divide	(-x)÷(-2)	$- x \div (- 2)$
209752	Write in Standard Form	square root of 3-12x+13x^2	$\sqrt{3} - 12 x + 13 x^{2}$
209753	Solve for x	32/60=(2x+6)/52.5	$\frac{32}{60} = \frac{2 x + 6}{52.5}$
209754	Write the Fraction in Simplest Form	(20v^9)/((4v)^2)	$\frac{20 v^{9}}{{(4 v)}^{2}}$
209755	Graph	x+0y=-2	$x + 0 y = - 2$
209756	Simplify	(2m+15a-5)+(5a+10)	$(2 m + 15 a - 5) + (5 a + 10)$
209757	Write in Standard Form	(4h^3+6h^2+1)-(5h^2-8h^4+6)	$(4 h^{3} + 6 h^{2} + 1) - (5 h^{2} - 8 h^{4} + 6)$
209758	Simplify	(5n+15)/(4n+8)*(2n+4)/(3n+9)	$\frac{5 n + 15}{4 n + 8} \cdot \frac{2 n + 4}{3 n + 9}$
209759	Solve for x	fifth root of 32^x=1/8	$\sqrt[5]{32^{x}} = \frac{1}{8}$
209760	Simplify	6m+4-3mn+m+5-8mn+6	$6 m + 4 - 3 m n + m + 5 - 8 m n + 6$
209761	Find the Roots (Zeros)	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
209762	Solve the Inequality for x	x^2+3x+4<8x	$x^{2} + 3 x + 4 < 8 x$
209763	Solve for y	x=3( cube root of 15+y)	$x = 3 (\sqrt[3]{15 + y})$
209764	Solve the Inequality for x	y>=-3x+4	$y \geq - 3 x + 4$
209765	Solve for c	4.74-30c=-43-82c-4.26	$4.74 - 30 c = - 43 - 82 c - 4.26$
209766	Evaluate	(6^0tu^-5)/(2^5)	$\frac{6^{0} t u^{- 5}}{2^{5}}$
209767	Simplify	14x+15y-12y+x	$14 x + 15 y - 12 y + x$
209768	Simplify	((4x^-3y^2)/(6xy^-3))^-2*(y^4)/(x^6y^-5)	${(\frac{4 x^{- 3} y^{2}}{6 x y^{- 3}})}^{- 2} \cdot \frac{y^{4}}{x^{6} y^{- 5}}$
209769	Subtract	2x^2-1-4x^2+2	$2 x^{2} - 1 - 4 x^{2} + 2$
209770	Simplify	(3i-2)^2	${(3 i - 2)}^{2}$
209771	Solve for x	-7/(4x)+(x+2)/x=3/4	$\frac{- 7}{4 x} + \frac{x + 2}{x} = \frac{3}{4}$
209772	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^2-7	$- \frac{1}{9} x^{2} - 7$
209773	Simplify	(x^16y^24z^8)^(1/4)	${(x^{16} y^{24} z^{8})}^{\frac{1}{4}}$
209774	Simplify	((x^2+13x+42)/(2x^2+28x+96)*(x^2+13x+40)/(-6x^2-30x))÷((-x-7)/-9)	$\frac{x^{2} + 13 x + 42}{2 x^{2} + 28 x + 96} \cdot \frac{x^{2} + 13 x + 40}{- 6 x^{2} - 30 x} \div \frac{- x - 7}{- 9}$
209775	Write in Standard Form	x^4-2x^2+x	$x^{4} - 2 x^{2} + x$
209776	Convert to a Decimal	5deg	$5$ degrees
209777	Solve for x	square root of 4-x+9=0	$\sqrt{4 - x} + 9 = 0$
209778	Simplify	(5m^3n-25m^2n^2)/(5m^2n)	$\frac{5 m^{3} n - 25 m^{2} n^{2}}{5 m^{2} n}$
209779	Simplify	cos(x)(1+tan(2)(x))	$\cos (x) (1 + \tan (2) (x))$
209780	Simplify	(2xy^-5)^3	${(2 x y^{- 5})}^{3}$
209781	Simplify	(3/7m^3+1/4n^3)(3/7m^3-1/4n^3)	$(\frac{3}{7} m^{3} + \frac{1}{4} n^{3}) (\frac{3}{7} m^{3} - \frac{1}{4} n^{3})$
209782	Simplify	((x-1)^(1/2))^2	${({(x - 1)}^{\frac{1}{2}})}^{2}$
209783	Factor	f(x)=x^4-16x^3+64x^2	$f (x) = x^{4} - 16 x^{3} + 64 x^{2}$
209784	Solve the System of Equations	3x+2y-z=3 -x+4y-z=-7 -9x-3y+z=-6	$3 x + 2 y - z = 3$ $- x + 4 y - z = - 7$ $- 9 x - 3 y + z = - 6$
209785	Evaluate	24+6÷3-2(4+1)	$24 + 6 \div 3 - 2 (4 + 1)$
209786	Simplify	-(8x^2y^0)(-2x^5z^-7)^2	$- (8 x^{2} y^{0}) {(- 2 x^{5} z^{- 7})}^{2}$
209787	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-3) and has a slope of 3/4 ?	What is the equation of the line that passes through the point $(- 4, - 3)$ and has a slope of $\frac{3}{4}$ ?
209788	Simplify	(2x-3)+(4x(3x+2))	$(2 x - 3) + (4 x (3 x + 2))$
209789	Solve for x	log base 5 of 2x^2-1- log base 5 of x+2=0	$\log_{5} (2 x^{2} - 1) - \log_{5} (x + 2) = 0$
209790	Solve for x	-1/2x+1/3>3/5	$- \frac{1}{2} x + \frac{1}{3} > \frac{3}{5}$
209791	Solve for x	log base x of 1=0	$\log_{x} (1) = 0$
209792	Solve for x	3-2 square root of x+4=15	$3 - 2 \sqrt{x + 4} = 15$
209793	Solve for x	(2x)/(x-3)=6/(x-3)+4	$\frac{2 x}{x - 3} = \frac{6}{x - 3} + 4$
209794	Simplify	(75/3)^(2/3)	${(\frac{75}{3})}^{\frac{2}{3}}$
209795	Simplify	(4r^(2/5)5s^(2/7))(5s^(5/7)4r^(3/5))	$(4 r^{\frac{2}{5}} \cdot 5 s^{\frac{2}{7}}) (5 s^{\frac{5}{7}} \cdot 4 r^{\frac{3}{5}})$
209796	Solve the Inequality for z	-1.2z-8.2>-9.7	$- 1.2 z - 8.2 > - 9.7$
209797	Simplify the Radical Expression	(2a^2)^(1/2)(2a^2)^(1/3)	${(2 a^{2})}^{\frac{1}{2}} {(2 a^{2})}^{\frac{1}{3}}$
209798	Determine if a Polynomial	q^5 square root of 3-p^4-4p^5q^4	$q^{5} \sqrt{3} - p^{4} - 4 p^{5} q^{4}$
209799	Solve Using the Square Root Property	-4/3x^2-15=201	$- \frac{4}{3} x^{2} - 15 = 201$
209800	Factor	10yp-35p-14yx+49x	$10 y p - 35 p - 14 y x + 49 x$