Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17801	Find the Secant Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
17802	Solve for x	(x^2)/(x^2-4)=(5x-6)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4} = \frac{5 x - 6}{x^{2} - 4}$
17803	Solve for p	p-31/6=-21/2	$p - \frac{31}{6} = - \frac{21}{2}$
17804	Solve the Function Operation	f(x)=x+1 g(x)=2x^2-2x-1 Find: (gof)(x)	$f (x) = x + 1$ $g (x) = 2 x^{2} - 2 x - 1$ Find: $((g \circ f)) (x)$
17805	Solve for x	x^4+19=100	$x^{4} + 19 = 100$
17806	Find Amplitude, Period, and Phase Shift	y=4sin((8pix)/5-3/2)	$y = 4 \sin (\frac{8 π x}{5} - \frac{3}{2})$
17807	Solve for x	log base 7 of 2x^2+2- log base 7 of 3x+7=0	$\log_{7} (2 x^{2} + 2) - \log_{7} (3 x + 7) = 0$
17808	Simplify	( square root of 4)/( cube root of 4)	$\frac{\sqrt{4}}{\sqrt[3]{4}}$
17809	Solve for p	p^2=0	$p^{2} = 0$
17810	Find the Antiderivative	f(x)=1/((x+1)^2)	$f (x) = \frac{1}{{(x + 1)}^{2}}$
17811	Graph	x+8=1/5y^2	$x + 8 = \frac{1}{5} y^{2}$
17812	Find the Degree	-5w^3x^5 square root of 6-8w^5	$- 5 w^{3} x^{5} \sqrt{6} - 8 w^{5}$
17813	Simplify the Radical Expression	fourth root of 25* cube root of 5	$\sqrt[4]{25} \cdot \sqrt[3]{5}$
17814	Find the End Behavior	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
17815	Simplify	(q^-2r^0)/(s^0)	$\frac{q^{- 2} r^{0}}{s^{0}}$
17816	Simplify	-3/(-9+ square root of 15)	$\frac{- 3}{- 9 + \sqrt{15}}$
17817	Find the Domain	((3x+6y)/(x^2-y^2))÷((5x+10y)/(x^2-2xy+y^2))	$\frac{3 x + 6 y}{x^{2} - y^{2}} \div \frac{5 x + 10 y}{x^{2} - 2 x y + y^{2}}$
17818	Simplify	(11^7* square root of 6)/(11^5*6^(3/2))	$\frac{11^{7} \cdot \sqrt{6}}{11^{5} \cdot 6^{\frac{3}{2}}}$
17819	Simplify	7/9z-6/9z+2-5/9z-9	$\frac{7}{9} z - \frac{6}{9} z + 2 - \frac{5}{9} z - 9$
17820	Graph	Graph y< square root of x+1+4	Graph $y < \sqrt{x + 1} + 4$
17821	Solve the System of Inequalities	x-6<6 and x+4>=-1	$x - 6 < 6$ and $x + 4 \geq - 1$
17822	Divide	Divide x^3+5x^2+5x-3 by x+3	Divide $x^{3} + 5 x^{2} + 5 x - 3$ by $x + 3$
17823	Simplify	(-2x^3y)(-3xz^5)^2(xy^3z)^3	$(- 2 x^{3} y) {(- 3 x z^{5})}^{2} {(x y^{3} z)}^{3}$
17824	Simplify	fourth root of n^4q+7n fourth root of q	$\sqrt[4]{n^{4} q} + 7 n \sqrt[4]{q}$
17825	Evaluate	( square root of 2)/(i square root of 2)	$\frac{\sqrt{2}}{i \sqrt{2}}$
17826	Solve for x	square root of 2x-1 = square root of 8x-4	$\sqrt{2 x} - 1 = \sqrt{8 x - 4}$
17827	Factor	6x^9n-30x^5n-300xn	$6 x^{9} n - 30 x^{5} n - 300 x n$
17828	Evaluate	6÷6+6+2-5	$6 \div 6 + 6 + 2 - 5$
17829	Find dy/dx	-y^2-2x^3=y	$- y^{2} - 2 x^{3} = y$
17830	Solve for x	(12-x)^(1/2)=6-a	${(12 - x)}^{\frac{1}{2}} = 6 - a$
17831	Simplify	(6x-12)/(x^2-9x+18)*(7x-21)/(5x-10)	$\frac{6 x - 12}{x^{2} - 9 x + 18} \cdot \frac{7 x - 21}{5 x - 10}$
17832	Solve for x	5/x=-4/(x-5)	$\frac{5}{x} = - \frac{4}{x - 5}$
17833	Graph	(dy)/(dx)=x/y	$\frac{d y}{d x} = \frac{x}{y}$
17834	Factor	4mn^2-4m^2n^2+m^3n^2	$4 m n^{2} - 4 m^{2} n^{2} + m^{3} n^{2}$
17835	Evaluate	g(-x)=x^2	$g (- x) = x^{2}$
17836	Evaluate	(2^-2+5^-1)/(4^-1-5^-1)	$\frac{2^{- 2} + 5^{- 1}}{4^{- 1} - 5^{- 1}}$
17837	Simplify	(2+2 square root of 2)/(3- square root of 3)	$\frac{2 + 2 \sqrt{2}}{3 - \sqrt{3}}$
17838	Find the First Term	a_n=2(4)^n	$a_{n} = 2 {(4)}^{n}$
17839	Solve for x	1/(1-x^2)=-\|3x-2\|+5	$\frac{1}{1 - x^{2}} = - \| 3 x - 2 \| + 5$
17840	Solve the System of Equations	x+6y+z=-7 x+2y+z=1 x-4y-z=-3	$x + 6 y + z = - 7$ $x + 2 y + z = 1$ $x - 4 y - z = - 3$
17841	Solve the Function Operation	Find fog if f(x)=4x^2-6x+3 and g(x)=x-6	Find $(f \circ g)$ if $f (x) = 4 x^{2} - 6 x + 3$ and $g (x) = x - 6$
17842	Solve the Rational Equation for x	x-1 = square root of x+11	$x - 1 = \sqrt{x + 11}$
17843	Find the Roots (Zeros)	1/6x^3=-36	$\frac{1}{6} x^{3} = - 36$
17844	Simplify	6/(x-8)(81-x^2)/(6x^3-24x^2-270x)(x^2-3x-40)/(x+9)	$\frac{6}{x - 8} \cdot \frac{81 - x^{2}}{6 x^{3} - 24 x^{2} - 270 x} \cdot \frac{x^{2} - 3 x - 40}{x + 9}$
17845	Write with Rational (Fractional) Exponents	( square root of 3m)^2	${(\sqrt{3 m})}^{2}$
17846	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-3) and has a slope of 3 ?	What is the equation of the line that passes through the point $(- 1, - 3)$ and has a slope of $3$ ?
17847	Multiply	2x^5(3x^3-x^2-2)	$2 x^{5} (3 x^{3} - x^{2} - 2)$
17848	Simplify	(x^2+5x+6)/(x^2-4)*4/(x+3)	$\frac{x^{2} + 5 x + 6}{x^{2} - 4} \cdot \frac{4}{x + 3}$
17849	Simplify the Radical Expression	fourth root of 3( fourth root of 2+ fourth root of 4)	$\sqrt[4]{3} (\sqrt[4]{2} + \sqrt[4]{4})$
17850	Evaluate	(2x^3y)^6	${(2 x^{3} y)}^{6}$
17851	Evaluate	5cos(4/2)^2+ natural log of 4+1-3	$5 \cos^{2} (\frac{4}{2}) + \ln (4 + 1) - 3$
17852	Find the Maximum/Minimum Value	f(x)=3sin(x/2)+4	$f (x) = 3 \sin (\frac{x}{2}) + 4$
17853	Solve for x	-1/3(x+1 1/2)=-3 1/4	$- \frac{1}{3} (x + 1 \frac{1}{2}) = - 3 \frac{1}{4}$
17854	Solve for m	-m-7/8=-10	$- m - \frac{7}{8} = - 10$
17855	Solve for m	10m^3-6=-86	$10 m^{3} - 6 = - 86$
17856	Find the Derivative - d/dw	wtf	$w t f$
17857	Simplify	z^3z^2w^2	$z^{3} z^{2} w^{2}$
17858	Convert to Interval Notation	4k-(k-2)>=7k-26	$4 k - (k - 2) \geq 7 k - 26$
17859	Simplify	2 cube root of 125a^4-5 cube root of 8a	$2 \sqrt[3]{125 a^{4}} - 5 \sqrt[3]{8 a}$
17860	Evaluate the Function	y=20*0.5^x for x=3	$y = 20 \cdot {0.5}^{x}$ for $x = 3$
17861	Solve for x	square root of 5-2x=3i	$\sqrt{5 - 2 x} = 3 i$
17862	Evaluate the Limit	limit as x approaches infinity of (x root of 3)/9	$lim_{x \to \infty} \frac{\sqrt[x]{3}}{9}$
17863	Evaluate the Limit	limit as y approaches 2 of ((4y^3+8y)/(y+4))^(1/3)	$lim_{y \to 2} {(\frac{4 y^{3} + 8 y}{y + 4})}^{\frac{1}{3}}$
17864	Simplify	(3 square root of 5i)/( square root of 3i)	$\frac{3 \sqrt{5} i}{\sqrt{3} i}$
17865	Solve for x	e^x-3x^2=0	$e^{x} - 3 x^{2} = 0$
17866	Simplify	2(2 square root of 4)^-2	$2 {(2 \sqrt{4})}^{- 2}$
17867	Evaluate the Integral	integral from 1 to infinity of e^x with respect to x	$\int_{1}^{\infty} e^{x} d x$
17868	Solve for w	6w+9=18w-3w+81	$6 w + 9 = 18 w - 3 w + 81$
17869	Simplify	(xy)^0-2^-1	${(x y)}^{0} - 2^{- 1}$
17870	Find the Maximum/Minimum Value	f(x)=-1/2x^4+8x^3-32x^2-5	$f (x) = - \frac{1}{2} x^{4} + 8 x^{3} - 32 x^{2} - 5$
17871	Solve the Rational Equation for k	square root of 4k-11+15=2	$\sqrt{4 k - 11} + 15 = 2$
17872	Divide	(x^3-x^2-5x-3)/(x^2+2x+1)	$\frac{(x^{3} - x^{2} - 5 x - 3)}{(x^{2} + 2 x + 1)}$
17873	Convert to Radical Form	-(729/64)^(5/6)	$- {(\frac{729}{64})}^{\frac{5}{6}}$
17874	Factor by Grouping	4y^(4a)+12y^(2a)+10y^(2a)+30	$4 y^{4 a} + 12 y^{2 a} + 10 y^{2 a} + 30$
17875	Solve by Substitution	x=8-2y y-x=4	$x = 8 - 2 y$ $y - x = 4$
17876	Divide	(1/9)÷(-2/3)	$\frac{1}{9} \div (- \frac{2}{3})$
17877	Evaluate	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
17878	Simplify the Matrix	Given (x+5)/(x-1) if x<=-3 4x+9 if x>-3 ; what is 2(g(3))+g(-4) ?	Given $\frac{x + 5}{x - 1}$ if $x \leq - 3$ $4 x + 9$ if $x > - 3$ ; what is $2 (g (3)) + g (- 4)$ ?
17879	Find the Perfect Square Trinomial	(x-9)(3x-9)	$(x - 9) (3 x - 9)$
17880	Write in Standard Form	y=1x+2	$y = 1 x + 2$
17881	Multiply	-x^2(x+5)	$- x^{2} (x + 5)$
17882	Find the Asymptotes	(2x^2+16x-40)/(x^2+6x)	$\frac{2 x^{2} + 16 x - 40}{x^{2} + 6 x}$
17883	Factor	81x^4=3x	$81 x^{4} = 3 x$
17884	Solve by Graphing	y=6x-11 -2x-3y=-7	$y = 6 x - 11$ $- 2 x - 3 y = - 7$
17885	Subtract	-3x+x^3-2x^2 and 4x^3-2x^2-4x	$- 3 x + x^{3} - 2 x^{2}$ and $4 x^{3} - 2 x^{2} - 4 x$
17886	Factor	F(x)=x^2-25	$F (x) = x^{2} - 25$
17887	Simplify	(x-y)^3+(x-y)^3	${(x - y)}^{3} + {(x - y)}^{3}$
17888	Solve for x	4x+5(3+x)=87	$4 x + 5 (3 + x) = 87$
17889	Solve for x	square root of 3x-12+7<=16	$\sqrt{3 x - 12} + 7 \leq 16$
17890	Graph	f(t)=4.1 if 0<=t<5; -0.03t+4.25 if 5<=t<15; -0.075t+4.925 if 15<=t<=35	$f (t) = {\begin{cases} 4.1 & 0 \leq t < 5 \\ - 0.03 t + 4.25 & 5 \leq t < 15 \\ - 0.075 t + 4.925 & 15 \leq t \leq 35 \end{cases}$
17891	Find the Slope and y-intercept	f(x)=x/2+2	$f (x) = \frac{x}{2} + 2$
17892	Find the Exact Value	sec(42 degrees 12')	$\sec (42 ° 12')$
17893	Find the Perfect Square Trinomial	(3x+8)(x+6)	$(3 x + 8) (x + 6)$
17894	Find the GCF	14x^10y^8 and 15x^6y^9	$14 x^{10} y^{8}$ and $15 x^{6} y^{9}$
17895	Solve for x	log base 8 of 16+2 log base 8 of x=2	$\log_{8} (16) + 2 \log_{8} (x) = 2$
17896	Find the Derivative - d/dx	(4-1/3x^2)^3	${(4 - \frac{1}{3} x^{2})}^{3}$
17897	Simplify the Radical Expression	(3x^(-1/3)y^(3/4))^2	${(3 x^{- \frac{1}{3}} y^{\frac{3}{4}})}^{2}$
17898	Find the Degree, Leading Term, and Leading Coefficient	P(x)=-3x^4+6x^3+x-5	$P (x) = - 3 x^{4} + 6 x^{3} + x - 5$
17899	Solve for x	x^2+6x=x+14	$x^{2} + 6 x = x + 14$
17900	Simplify the Radical Expression	square root of 3/y	$\sqrt{\frac{3}{y}}$