Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40901	Find the Relative Extrema	f(x)=(x^2-4)^(2/3)	$f (x) = {(x^{2} - 4)}^{\frac{2}{3}}$
40902	Simplify	( cube root of ab)/( cube root of 25)	$\frac{\sqrt[3]{a b}}{\sqrt[3]{25}}$
40903	Solve for x	5x+2(2-x)=3(1+x)+1	$5 x + 2 (2 - x) = 3 (1 + x) + 1$
40904	Divide	((30x+15)/x)÷(10/(3x))	$\frac{30 x + 15}{x} \div \frac{10}{3 x}$
40905	Convert to Radical Form	2(x^(1/3)y^(5/6))	$2 (x^{\frac{1}{3}} y^{\frac{5}{6}})$
40906	Find the Derivative - d/dx	y=(x^3)/12+1/x	$y = \frac{x^{3}}{12} + \frac{1}{x}$
40907	Evaluate	-9^-2+3^-3+(-7)^0	$- 9^{- 2} + 3^{- 3} + {(- 7)}^{0}$
40908	Solve for x	(3x)/2+x=1/3	$\frac{3 x}{2} + x = \frac{1}{3}$
40909	Graph	x<3 or x>5	$x < 3$ or $x > 5$
40910	Simplify	square root of xy( square root of x+ square root of y)	$\sqrt{x y} (\sqrt{x} + \sqrt{y})$
40911	Simplify	((a^5b^4)/(x^6b^3))^0	${(\frac{a^{5} b^{4}}{x^{6} b^{3}})}^{0}$
40912	Find the Slope	(7/6,-1/2) and (1/3,1/3)	$(\frac{7}{6}, - \frac{1}{2})$ and $(\frac{1}{3}, \frac{1}{3})$
40913	Find Amplitude, Period, and Phase Shift	y=1/2cos(2x-pi)+2	$y = \frac{1}{2} \cos (2 x - π) + 2$
40914	Find the Inverse	f(x)=(3x+2)/(4+x)	$f (x) = \frac{3 x + 2}{4 + x}$
40915	Simplify the Radical Expression	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
40916	Evaluate	21/20(20)+3/4	$\frac{21}{20} (20) + \frac{3}{4}$
40917	Solve for k	f=(g-h+k)/7	$f = \frac{g - h + k}{7}$
40918	Convert to Trigonometric Form	2sin(10 degrees )cos(10 degrees )	$2 \sin (10 °) \cos (10 °)$
40919	Find dy/dx	y^2+3x^2=y^3-x^3	$y^{2} + 3 x^{2} = y^{3} - x^{3}$
40920	Find the Equation Using Slope-Intercept Form	What is the equation of the line that has a slope of 1/3 and goes through the point (3,1) ?	What is the equation of the line that has a slope of $\frac{1}{3}$ and goes through the point $(3, 1)$ ?
40921	Evaluate the Limit	limit as x approaches infinity of (2x^2+5)/(x^2)	$lim_{x \to \infty} \frac{2 x^{2} + 5}{x^{2}}$
40922	Factor	(4x+6)/(2x+3)	$\frac{4 x + 6}{2 x + 3}$
40923	Find the Axis of Symmetry	f(x)=\|x+9\|+1	$f (x) = \| x + 9 \| + 1$
40924	Convert to Rectangular	4(cos(pi/3)+ipi/3)	$4 (\cos (\frac{π}{3}) + i \frac{π}{3})$
40925	Solve the System of Equations	2x+4y=28 -2y=x+28	$2 x + 4 y = 28$ $- 2 y = x + 28$
40926	Find the Remainder	(3x^4+x^2+3)/(x+1)	$\frac{3 x^{4} + x^{2} + 3}{x + 1}$
40927	Solve Using the Quadratic Formula	72=2x^2	$72 = 2 x^{2}$
40928	Find the Exact Value	\|-12+8-(-2)\|	$\| - 12 + 8 - (- 2) \|$
40929	Solve the Absolute Value Inequality for c	\|11-2c\|=25	$\| 11 - 2 c \| = 25$
40930	Simplify	(-1/2xy^6z^8)^2(1/2x^8y^6z)^2	${(- \frac{1}{2} x y^{6} z^{8})}^{2} {(\frac{1}{2} x^{8} y^{6} z)}^{2}$
40931	Evaluate	1/( square root of 2)-1/( square root of 8)+ square root of 2	$\frac{1}{\sqrt{2}} - \frac{1}{\sqrt{8}} + \sqrt{2}$
40932	Evaluate	2/3+1/2 2/5-1/x=1/3-1/2 2/3	$\frac{2}{3} + \frac{1}{2 \frac{2}{5}} - \frac{1}{x} = \frac{1}{3} - \frac{1}{2 \frac{2}{3}}$
40933	Solve the System of Equations	2x^2+3y^2=4 y=2x	$2 x^{2} + 3 y^{2} = 4$ $y = 2 x$
40934	Simplify	i square root of 3*i square root of 3	$i \sqrt{3} \cdot i \sqrt{3}$
40935	Simplify	13x-3(6(x+2))	$13 x - 3 (6 (x + 2))$
40936	Find the Exact Value	cube root of 8^4	$\sqrt[3]{8^{4}}$
40937	Solve the Inequality for d	d-5<=1	$d - 5 \leq 1$
40938	Find the Derivative - d/dx	-5/(6 square root of x^3)	$- \frac{5}{6 \sqrt{x^{3}}}$
40939	Solve for b	2b-1=b+3	$2 b - 1 = b + 3$
40940	Solve for p	3(2p+1)=5(p+1)	$3 (2 p + 1) = 5 (p + 1)$
40941	Solve for x	( square root of 6x+4-1)/4=x	$\frac{\sqrt{6 x + 4} - 1}{4} = x$
40942	Solve the System of Equations	2u=14 degrees , cos(2u)=cos(u)^2-sin(u)^2	$2 u = 14 °$ , $\cos (2 u) = \cos^{2} (u) - \sin^{2} (u)$
40943	Evaluate the Summation	2 sum from k=3 to 8 of 9-2k	$2 \sum_{k = 3}^{8} 9 - 2 k$
40944	Evaluate	((-8x^3y^2)^2*2x^2y^6)/(32x^8y^3)	$\frac{{(- 8 x^{3} y^{2})}^{2} \cdot 2 x^{2} y^{6}}{32 x^{8} y^{3}}$
40945	Find the Second Derivative	y=-2x^2-1/2x^3+1/5x^-4	$y = - 2 x^{2} - \frac{1}{2} x^{3} + \frac{1}{5} x^{- 4}$
40946	Find the First Term	a_n=(n!)/(n+1)	$a_{n} = \frac{n!}{n + 1}$
40947	Find the Third Term	a_n=(n!)/(n+1)	$a_{n} = \frac{n!}{n + 1}$
40948	Evaluate	2/31/23	$\frac{2}{3} \cdot \frac{1}{2} \cdot 3$
40949	Solve for x	(4x)/9-1/3=x+5/3	$\frac{4 x}{9} - \frac{1}{3} = x + \frac{5}{3}$
40950	Find the Antiderivative	(4x-1)/((2x-1)^2)	$\frac{4 x - 1}{{(2 x - 1)}^{2}}$
40951	Evaluate the Limit	limit as x approaches infinity of (10^8x^5+10^6x^4+10^4x^2)/(10^9x^6+10^7x^5+10^5x^3)	$lim_{x \to \infty} \frac{10^{8} x^{5} + 10^{6} x^{4} + 10^{4} x^{2}}{10^{9} x^{6} + 10^{7} x^{5} + 10^{5} x^{3}}$
40952	Subtract	-1 1/8-5/8	$- 1 \frac{1}{8} - \frac{5}{8}$
40953	Graph	4y=-x^2	$4 y = - x^{2}$
40954	Solve the Inequality for x	y<=5/3x-4	$y \leq \frac{5}{3} x - 4$
40955	Solve for y	y=1/2(2)^2	$y = \frac{1}{2} {(2)}^{2}$
40956	Combine Like Terms	-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5	$- 5 x^{3} y^{3} + 8 x^{4} y^{2} - x y^{5} - 2 x^{2} y^{4} + 8 x^{6} + 3 x^{2} y^{4} - 6 x y^{5}$
40957	Solve for c	5c^2+7c+1=2c	$5 c^{2} + 7 c + 1 = 2 c$
40958	Find Where Increasing/Decreasing	f'(x)=2x^3+12x^2-54x	$f' (x) = 2 x^{3} + 12 x^{2} - 54 x$
40959	Solve for x	8+13^(2x-5)=35	$8 + 13^{2 x - 5} = 35$
40960	Solve by Substitution	y=3/4x+1 y=1/4x+3	$y = \frac{3}{4} x + 1$ $y = \frac{1}{4} x + 3$
40961	Simplify	8^2-81*1/9	$8^{2} - 81 \cdot \frac{1}{9}$
40962	Solve for a	(y(x-a))/z=t	$\frac{y (x - a)}{z} = t$
40963	Graph	f(y)=x	$f (y) = x$
40964	Convert to a Percentage	2.05 is what percent of 82 ?	$2.05$ is what percent of $82$ ?
40965	Simplify	(yx^2)^4*(x^3y^4)^0	${(y x^{2})}^{4} \cdot {(x^{3} y^{4})}^{0}$
40966	Factor	32ax+12bx-48ay-18 by	$32 a x + 12 b x - 48 a y - 18$ by
40967	Evaluate	-(1+7x)-6(-7-x)=36	$- (1 + 7 x) - 6 (- 7 - x) = 36$
40968	Simplify	2* square root of 8	$2 \cdot \sqrt{8}$
40969	Solve the Function Operation	f(x)=6x+2 ; find f(x+3)	$f (x) = 6 x + 2$ ; find $f (x + 3)$
40970	Solve for x	3 cube root of x+1=2	$3 \sqrt[3]{x + 1} = 2$
40971	Solve for r	-21/4=r-4/5	$- \frac{21}{4} = r - \frac{4}{5}$
40972	Convert to Scientific Notation	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$
40973	Solve the System of Inequalities	x+y>2 4x+y>=-1	$x + y > 2$ $4 x + y \geq - 1$
40974	Solve the System of Equations	6x-y=9 1/3y=-3+2x	$6 x - y = 9$ $\frac{1}{3} y = - 3 + 2 x$
40975	Simplify	(11xy^-1z^0)/(w^-3)	$\frac{11 x y^{- 1} z^{0}}{w^{- 3}}$
40976	Solve for a	y=(ax+b)/c	$y = \frac{(a x + b)}{c}$
40977	Factor by Grouping	x^3+8y^3	$x^{3} + 8 y^{3}$
40978	Evaluate	(45-3x)^(1/2)=x-9	${(45 - 3 x)}^{\frac{1}{2}} = x - 9$
40979	Write in Standard Form	4x-y^2-2y-33=0	$4 x - y^{2} - 2 y - 33 = 0$
40980	Solve the Inequality for x	1/2x-7<=x^2	$\frac{1}{2} x - 7 \leq x^{2}$
40981	Solve the Rational Equation for x	(2x-9)/(x-7)+x/2=5/(x-7)	$\frac{2 x - 9}{x - 7} + \frac{x}{2} = \frac{5}{x - 7}$
40982	Evaluate	55% of 40	$55 %$ of $40$
40983	Simplify	3/(y+3)+(2y)/(y^2+7y+12)	$\frac{3}{y + 3} + \frac{2 y}{y^{2} + 7 y + 12}$
40984	Find the Derivative - d/dx	y=-1/2x^4+3x^(5/3)+2x	$y = - \frac{1}{2} x^{4} + 3 x^{\frac{5}{3}} + 2 x$
40985	Find the Third Derivative	y=1/2+1/3x^5-1/3x^2+5/9x	$y = \frac{1}{2} + \frac{1}{3} x^{5} - \frac{1}{3} x^{2} + \frac{5}{9} x$
40986	Solve the System of Equations	x=4y x+2y=12	$x = 4 y$ $x + 2 y = 12$
40987	Find the Absolute Max and Min over the Interval	y=3cos(x) , [0,2pi]	$y = 3 \cos (x)$ , $[0, 2 π]$
40988	Find the Roots (Zeros)	C(t)=-0.005t^4+0.139t^3-0.051t^2+1.800t	$C (t) = - 0.005 t^{4} + 0.139 t^{3} - 0.051 t^{2} + 1.8 t$
40989	Evaluate	4*(5^2-12)-6	$4 \times (5^{2} - 12) - 6$
40990	Expand the Logarithmic Expression	natural log of fifth root of x^5(x^4-4)	$\ln (\sqrt[5]{x^{5} (x^{4} - 4)})$
40991	Simplify	(-2/5y^3)^2	${(- \frac{2}{5} y^{3})}^{2}$
40992	Evaluate	log base 2 of x-6+ log base 2 of 4=3	$\log_{2} (x - 6) + \log_{2} (4) = 3$
40993	Simplify	square root of 6x^2* square root of 48x	$\sqrt{6 x^{2}} \cdot \sqrt{48 x}$
40994	Find the Vertex	4x-y^2-2y-33=0	$4 x - y^{2} - 2 y - 33 = 0$
40995	Solve for n	g(n)=-2n-4	$g (n) = - 2 n - 4$
40996	Find the Exact Value	\|6\|-\|-6\|-(-6)	$\| 6 \| - \| - 6 \| - (- 6)$
40997	Convert from Radians to Degrees	-5pirad	$- 5 π$ radians
40998	Evaluate	(25*360/60)	$(25 \cdot \frac{360}{60})$
40999	Solve for x	\|x+3\|=2a+3	$\| x + 3 \| = 2 a + 3$
41000	Evaluate the Limit	limit as x approaches 2 of -(x^2)/2-x+5/2	$lim_{x \to 2} - \frac{x^{2}}{2} - x + \frac{5}{2}$