Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32901	Convert to Interval Notation	x<1 or x>=5	$x < 1$ or $x \geq 5$
32902	Solve the Inequality for y	-8y<-3y+5	$- 8 y < - 3 y + 5$
32903	Simplify	12 square root of 4-5 square root of 4+2 square root of 4	$12 \sqrt{4} - 5 \sqrt{4} + 2 \sqrt{4}$
32904	Simplify	(6a^2)/(15a+10)+5/(15a+10)	$\frac{6 a^{2}}{15 a + 10} + \frac{5}{15 a + 10}$
32905	Solve for x	cube root of 2x^3-1=x	$\sqrt[3]{2 x^{3} - 1} = x$
32906	Find the Second Derivative	y=-4x^2-2/5x^-4+2/3x^4	$y = - 4 x^{2} - \frac{2}{5} x^{- 4} + \frac{2}{3} x^{4}$
32907	Solve for x	\|x+2\|+5<4	$\| x + 2 \| + 5 < 4$
32908	Find the Product	x/(x-5)*(2x)/(x+4)	$\frac{x}{x - 5} \cdot \frac{2 x}{x + 4}$
32909	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+9x^2+7x+10 is divided by x+2	Use synthetic division to find the result when $4 x^{3} + 9 x^{2} + 7 x + 10$ is divided by $x + 2$
32910	Evaluate the Integral	2 integral of sec(x)tan(x) with respect to x	$2 \int \sec (x) \tan (x) d x$
32911	Simplify	a/b*b/(2a)	$\frac{a}{b} \cdot \frac{b}{2 a}$
32912	Divide	(x^3-4x^2)/(x^2)	$\frac{x^{3} - 4 x^{2}}{x^{2}}$
32913	Evaluate the Limit	limit as x approaches -1 of 4/(x^2-1)+2/(x+1)	$lim_{x \to - 1} \frac{4}{x^{2} - 1} + \frac{2}{x + 1}$
32914	Integrate Using u-Substitution	integral from 0 to 2 of x^2 square root of 1+x^3 with respect to x	$\int_{0}^{2} x^{2} \sqrt{1 + x^{3}} d x$
32915	Write in Slope-Intercept Form	(3,4) and (0,5)	$(3, 4)$ and $(0, 5)$
32916	Graph	(2, square root of 2)	$(2, \sqrt{2})$
32917	Simplify	(2x^2y^-2m^3)^4(2x^4y^5m^8)	${(2 x^{2} y^{- 2} m^{3})}^{4} (2 x^{4} y^{5} m^{8})$
32918	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-8) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(4, - 8)$ and has a slope of $- \frac{1}{2}$ ?
32919	Graph Using a Table of Values	y=- square root of 16-x^2	$y = - \sqrt{16 - x^{2}}$
32920	Evaluate	(( square root of 2)/2)÷((- square root of 2)/2)	$\frac{\sqrt{2}}{2} \div \frac{- \sqrt{2}}{2}$
32921	Simplify the Radical Expression	(49^(3/8)*49^(7/8))/(7^(5/4))	$\frac{49^{\frac{3}{8}} \cdot 49^{\frac{7}{8}}}{7^{\frac{5}{4}}}$
32922	Find the Asymptotes	y=(x-10)/(x^3-125)	$y = \frac{x - 10}{x^{3} - 125}$
32923	Solve the Inequality for x	x+4<2x-x	$x + 4 < 2 x - x$
32924	Write the Fraction in Simplest Form	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
32925	Evaluate	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \times 3^{4}}{9}$
32926	Evaluate	square root of x-12=2- square root of x	$\sqrt{x - 12} = 2 - \sqrt{x}$
32927	Evaluate the Integral	integral from pi/2 to pi of 5cos(x) with respect to x	$\int_{\frac{π}{2}}^{π} 5 \cos (x) d x$
32928	Find the Antiderivative	f(x)=-sin(2x)	$f (x) = - \sin (2 x)$
32929	Find Amplitude, Period, and Phase Shift	y=4cos(-2x-pi/3)	$y = 4 \cos (- 2 x - \frac{π}{3})$
32930	Solve for x	4(x-y)=2x+3	$4 (x - y) = 2 x + 3$
32931	Evaluate	square root of 4x^2+4x+1	$\sqrt{4 x^{2} + 4 x + 1}$
32932	Solve for x	x÷15=8 1/3	$x \div 15 = 8 \frac{1}{3}$
32933	Graph	-4x<=-28 or x/4<1	$- 4 x \leq - 28$ or $\frac{x}{4} < 1$
32934	Find the Vertex	1/4y^2=x	$\frac{1}{4} y^{2} = x$
32935	Simplify	5/(2 square root of 3)- square root of 3	$\frac{5}{2 \sqrt{3}} - \sqrt{3}$
32936	Solve for n	(5n-7)(n-7)=0	$(5 n - 7) (n - 7) = 0$
32937	Simplify	(2x^-1+2y^-1)/(9(x+y)^-1)	$\frac{2 x^{- 1} + 2 y^{- 1}}{9 {(x + y)}^{- 1}}$
32938	Divide Using Long Polynomial Division	3x^3+23x^2+23x+6 divided by 3x+2	$3 x^{3} + 23 x^{2} + 23 x + 6$ divided by $3 x + 2$
32939	Find g(f(x))	f(x)=4x^3-10 g(x)=(3x-4)/2	$f (x) = 4 x^{3} - 10$ $g (x) = \frac{3 x - 4}{2}$
32940	Find the Holes in the Graph	y=(x-1)/((x+2)(x-1))	$y = \frac{x - 1}{(x + 2) (x - 1)}$
32941	Solve the Absolute Value Inequality for c	\|6-3c\|=14	$\| 6 - 3 c \| = 14$
32942	Find the GCF	-(n+6)^4 , -3(n+6)^3 , -3(n+6)^6	$- {(n + 6)}^{4}$ , $- 3 {(n + 6)}^{3}$ , $- 3 {(n + 6)}^{6}$
32943	Find the Product	(x+y+3)(x+y-4)	$(x + y + 3) (x + y - 4)$
32944	Solve for n	(c^-9)/(c^5)=1/(c^n)	$\frac{c^{- 9}}{c^{5}} = \frac{1}{c^{n}}$
32945	Find the LCM	4x^2-7 and 6x^2-5	$4 x^{2} - 7$ and $6 x^{2} - 5$
32946	Divide	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
32947	Solve Using the Quadratic Formula	17x^2-21x=-3x^2-5	$17 x^{2} - 21 x = - 3 x^{2} - 5$
32948	Factor by Grouping	9-6a-24a^2	$9 - 6 a - 24 a^{2}$
32949	Find the Excluded Values	(x+6)/(x^2-7x-18)-(2x)/(x-9)	$\frac{x + 6}{x^{2} - 7 x - 18} - \frac{2 x}{x - 9}$
32950	Simplify	(4^-6)/((4^-3)^2)	$\frac{4^{- 6}}{{(4^{- 3})}^{2}}$
32951	Simplify	((6a^2)/(4b^4))^2*(5b)/(3a)	${(\frac{6 a^{2}}{4 b^{4}})}^{2} \cdot \frac{5 b}{3 a}$
32952	Evaluate	(-( square root of 3)/2)	$(- \frac{\sqrt{3}}{2})$
32953	Solve for x	log of 6x-3=-4	$\log (6 x) - 3 = - 4$
32954	Simplify	a/(2^3)(64)-(12a)÷6	$\frac{a}{2^{3}} (64) - 12 a \div 6$
32955	Solve by Substitution	-5x+y=1 -10x+2y=-2	$- 5 x + y = 1$ $- 10 x + 2 y = - 2$
32956	Convert to a Decimal	Given the perimeter of a square is 12.4cm ; what is the side length of the square?	Given the perimeter of a square is $12.4 cm$ ; what is the side length of the square?
32957	Solve for x in Degrees	2sin(x)=1	$2 \sin (x) = 1$
32958	Graph	W(t)=-x(x-3)	$W (t) = - x (x - 3)$
32959	Solve the Rational Equation for x	3+(2x)/(x-4)=8/(x-4)	$3 + \frac{2 x}{x - 4} = \frac{8}{x - 4}$
32960	Simplify	((4y^4)/(8y^0))^2	${(\frac{4 y^{4}}{8 y^{0}})}^{2}$
32961	Solve the Inequality for m	\|(m-12)/4\|<19	$\| \frac{m - 12}{4} \| < 19$
32962	Find the LCM	5 and 9	$5$ and $9$
32963	Factor	x^2+(a-b)x-ab	$x^{2} + (a - b) x - a b$
32964	Solve for x	x^(1/2) = square root of x	$x^{\frac{1}{2}} = \sqrt{x}$
32965	Solve for x	(2x)/5+(3x)/2-(2x)/3=37	$\frac{2 x}{5} + \frac{3 x}{2} - \frac{2 x}{3} = 37$
32966	Simplify the Radical Expression	fourth root of 4^3	$\sqrt[4]{4^{3}}$
32967	Divide	(2u^2-7)÷(u+3)	$(2 u^{2} - 7) \div (u + 3)$
32968	Solve for x	3 cube root of x=15	$3 \sqrt[3]{x} = 15$
32969	Solve for r	cube root of r+19=3	$\sqrt[3]{r + 19} = 3$
32970	Integrate Using u-Substitution	integral of (x^3)/(1+x^8) with respect to x	$\int \frac{x^{3}}{1 + x^{8}} d x$
32971	Multiply	(5x^3+2y)(5x^3-2y)	$(5 x^{3} + 2 y) (5 x^{3} - 2 y)$
32972	Evaluate	1/2 natural log of e^7	$\frac{1}{2} \ln (e^{7})$
32973	Solve for x	-2\|1+3x\|<8	$- 2 \| 1 + 3 x \| < 8$
32974	Find the 6th Term	7/2 , 9/4 , 1 , -1/4 , -3/2	$\frac{7}{2}$ , $\frac{9}{4}$ , $1$ , $- \frac{1}{4}$ , $- \frac{3}{2}$
32975	Find the Distance Between Two Points	(4,-9) and (-5,3)	$(4, - 9)$ and $(- 5, 3)$
32976	Add	(3x^2+3)+(3x^2+x+4)	$(3 x^{2} + 3) + (3 x^{2} + x + 4)$
32977	Find the Slope and y-intercept	y=-2+3	$y = - 2 + 3$
32978	Simplify	5^0*(5^7)/(5^5)	$5^{0} \cdot \frac{5^{7}}{5^{5}}$
32979	Simplify	square root of xy^2	$\sqrt{x y^{2}}$
32980	Evaluate the Limit	limit as x approaches 3 of (sin(x-3)+14x+4)/( square root of x^2-5)	$lim_{x \to 3} \frac{\sin (x - 3) + 14 x + 4}{\sqrt{x^{2} - 5}}$
32981	Evaluate the Integral	integral of 5x(x-4)(3x+5) with respect to x	$\int 5 x (x - 4) (3 x + 5) d x$
32982	Solve for x	3(2-4(x+1))=-x	$3 (2 - 4 (x + 1)) = - x$
32983	Find the Roots (Zeros)	y=x^4-2x^3+x^2-8x-12	$y = x^{4} - 2 x^{3} + x^{2} - 8 x - 12$
32984	Find the Holes in the Graph	(2x^2-5x+2)/(x^2-4)	$\frac{2 x^{2} - 5 x + 2}{x^{2} - 4}$
32985	Simplify the Radical Expression	square root of (x^2+6)^16	$\sqrt{{(x^{2} + 6)}^{16}}$
32986	Evaluate	(2(3)^3)/3	$\frac{2 {(3)}^{3}}{3}$
32987	Find the Derivative - d/dx	x(e^x-1)	$x (e^{x} - 1)$
32988	Simplify	square root of 7i* square root of 6i	$\sqrt{7} i \cdot \sqrt{6} i$
32989	Solve for x	log base 8 of x-3 = log base 8 of 2	$\log_{8} (x) - 3 = \log_{8} (2)$
32990	Solve for q	h(q) = fourth root of 4q+11 ; solve for h(q)=1	$h (q) = \sqrt[4]{4 q + 11}$ ; solve for $h (q) = 1$
32991	Convert to Interval Notation	-5x-3>=2 or 4x-2>=5	$- 5 x - 3 \geq 2$ or $4 x - 2 \geq 5$
32992	Solve Using the Quadratic Formula	-5x^2-x+56=x+15	$- 5 x^{2} - x + 56 = x + 15$
32993	Solve for x	3x^2+2xy=0	$3 x^{2} + 2 x y = 0$
32994	Evaluate Using the Given Value	d/(dx)(e^xtan(x)) at x=0	$\frac{d}{d x} (e^{x} \tan (x))$ at $x = 0$
32995	Simplify the Radical Expression	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
32996	Graph Using a Table of Values	y=(x-3)^2-4	$y = {(x - 3)}^{2} - 4$
32997	Find the Derivative - d/dx	y=1/(arccot(x))	$y = \frac{1}{arccot (x)}$
32998	Solve for x	(x^2-11x+30)/(x-6)=1	$\frac{x^{2} - 11 x + 30}{x - 6} = 1$
32999	Evaluate	log base 5 of 0.2+ log base 0.5 of 4	$\log_{5} (0.2) + \log_{0.5} (4)$
33000	Solve for x	17/x-11/(x+3)=(5x+8)/(x+3)	$\frac{17}{x} - \frac{11}{x + 3} = \frac{5 x + 8}{x + 3}$