Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31801	Solve for x	5x-2(2x)=3	$5 x - 2 (2 x) = 3$
31802	Multiply	(x-y)(x^2-2xy+y^2)	$(x - y) (x^{2} - 2 x y + y^{2})$
31803	Factor	x^2-2x(y+z)+(y+z)^2	$x^{2} - 2 x (y + z) + {(y + z)}^{2}$
31804	Add	x+1/2x	$x + \frac{1}{2} x$
31805	Factor by Grouping	-3+3x^5	$- 3 + 3 x^{5}$
31806	Find the Reference Angle	tan((9pi)/4)	$\tan (\frac{9 π}{4})$
31807	Simplify	1/(t square root of 1+t)-1/t	$\frac{1}{t \sqrt{1 + t}} - \frac{1}{t}$
31808	Simplify	(-8x^5y^3)^(1/3)	${(- 8 x^{5} y^{3})}^{\frac{1}{3}}$
31809	Find the Reference Angle	sin((11pi)/3)	$\sin (\frac{11 π}{3})$
31810	Integrate By Parts	integral of x^3e^(x^4) with respect to x	$\int x^{3} e^{x^{4}} d x$
31811	Evaluate the Limit	limit as x approaches -5/2 of (6x^2+11x-10)/(8x^2-18x-5)	$lim_{x \to - \frac{5}{2}} \frac{6 x^{2} + 11 x - 10}{8 x^{2} - 18 x - 5}$
31812	Evaluate the Limit	limit as x approaches 1 of (3x+x^2-4)/(x-1)	$lim_{x \to 1} \frac{3 x + x^{2} - 4}{x - 1}$
31813	Solve the System of Inequalities	-8x>-24 and -10<=2x-6	$- 8 x > - 24$ and $- 10 \leq 2 x - 6$
31814	Simplify the Radical Expression	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
31815	Solve the Function Operation	9f=2 1 (12f-2)	$9 f = 2$ $1$ $(12 f - 2)$
31816	Divide	((x^2-3x-10)/(2x^2-11x+5))÷((x^2-5x+6)/(2x^2-7x+3))	$\frac{x^{2} - 3 x - 10}{2 x^{2} - 11 x + 5} \div \frac{x^{2} - 5 x + 6}{2 x^{2} - 7 x + 3}$
31817	Simplify	2 cube root of 24a^2+ cube root of 81a^2-6 cube root of 3a^2	$2 \sqrt[3]{24 a^{2}} + \sqrt[3]{81 a^{2}} - 6 \sqrt[3]{3 a^{2}}$
31818	Solve the Inequality for x	log base 7 of 5x+3=3	$\log_{7} (5 x) + 3 = 3$
31819	Solve the Rational Equation for x	x = square root of 42-x	$x = \sqrt{42 - x}$
31820	Divide	( cube root of 4)÷( sixth root of 2)	$\sqrt[3]{4} \div \sqrt[6]{2}$
31821	Graph	{y=-x+10}	${y = - x + 10}$
31822	Solve for x	(5x+1)/5+(4x)/7=34/35	$\frac{5 x + 1}{5} + \frac{4 x}{7} = \frac{34}{35}$
31823	Find All Complex Solutions	2x+8=2(x+4)	$2 x + 8 = 2 (x + 4)$
31824	Subtract	11/12-4/6	$\frac{11}{12} - \frac{4}{6}$
31825	Solve the Inequality for p	p-20<=7	$p - 20 \leq 7$
31826	Solve for g	D=7/8(f-g)	$D = \frac{7}{8} (f - g)$
31827	Find the Multiples	multiples of 3	multiples of $3$
31828	Find the Product	seventh root of 7* cube root of 7	$\sqrt[7]{7} \cdot \sqrt[3]{7}$
31829	Evaluate the Limit	limit as x approaches 0 of (sin(x))/(x^2+x)	$lim_{x \to 0} \frac{\sin (x)}{x^{2} + x}$
31830	Find dy/dx	x^y=e^(x-y)	$x^{y} = e^{x - y}$
31831	Simplify	(1-2x)^3-7x(x^2-2)	${(1 - 2 x)}^{3} - 7 x (x^{2} - 2)$
31832	Simplify the Radical Expression	square root of a^-3	$\sqrt{a^{- 3}}$
31833	Write in Standard Form	f(x)=(5x-3)(25x^2+15x+9)	$f (x) = (5 x - 3) (25 x^{2} + 15 x + 9)$
31834	Evaluate	(x^2-y^2)^2	${(x^{2} - y^{2})}^{2}$
31835	Graph	2x+y=5 -2x+y=1	$2 x + y = 5$ $- 2 x + y = 1$
31836	Simplify	Simplify (1+3)^2-10÷2	Simplify ${(1 + 3)}^{2} - 10 \div 2$
31837	Write in Standard Form	2x^3-9+2x+8-4x	$2 x^{3} - 9 + 2 x + 8 - 4 x$
31838	Multiply	(6x+24)/(5x-35)*(9x-63)/(7x+28)	$\frac{6 x + 24}{5 x - 35} \cdot \frac{9 x - 63}{7 x + 28}$
31839	Simplify	square root of 8x^5y^6z^13	$\sqrt{8 x^{5} y^{6}} z^{13}$
31840	Evaluate	arcsin(sin((3pi)/2))	$\arcsin (\sin (\frac{3 π}{2}))$
31841	Subtract	(4y^2+2y-8)-(7y^2+4-y)	$(4 y^{2} + 2 y - 8) - (7 y^{2} + 4 - y)$
31842	Simplify	(4+5h)(16-20h+25h^2)	$(4 + 5 h) (16 - 20 h + 25 h^{2})$
31843	Solve for x	8^(2-x)=(1/4)^(2x)	$8^{2 - x} = {(\frac{1}{4})}^{2 x}$
31844	Simplify	((2c-2d)^2)/((3c-3d)^2)	$\frac{{(2 c - 2 d)}^{2}}{{(3 c - 3 d)}^{2}}$
31845	Evaluate the Limit	limit as x approaches infinity of 5+x^-1-2x^-2	$lim_{x \to \infty} 5 + x^{- 1} - 2 x^{- 2}$
31846	Solve Using the Quadratic Formula	w(2w-11)-8=0	$w (2 w - 11) - 8 = 0$
31847	Simplify	14/( cube root of 4+5)	$\frac{14}{\sqrt[3]{4} + 5}$
31848	Find the Maximum/Minimum Value	f(x)=sin(x)^2	$f (x) = \sin^{2} (x)$
31849	Simplify	14y+2y(6-y)	$14 y + 2 y (6 - y)$
31850	Evaluate the Integral	integral from 0 to 4 of 1/(1+ square root of 2x+1) with respect to x	$\int_{0}^{4} \frac{1}{1 + \sqrt{2 x + 1}} d x$
31851	Evaluate	square root of x^2-14x+49=x-7	$\sqrt{x^{2} - 14 x + 49} = x - 7$
31852	Simplify	(xy^2-4xy)/((y-4)(y+4))	$\frac{x y^{2} - 4 x y}{(y - 4) (y + 4)}$
31853	Find the Slope	(-3,5) and (3,3)	$(- 3, 5)$ and $(3, 3)$
31854	Convert to Interval Notation	x<2 and x>-2	$x < 2$ and $x > - 2$
31855	Simplify	(6x^2)/(x square root of 3)	$\frac{6 x^{2}}{x \sqrt{3}}$
31856	Graph	x+y>8 x>5	$x + y > 8$ $x > 5$
31857	Simplify	5/( fourth root of 8x^3y^3)	$\frac{5}{\sqrt[4]{8 x^{3} y^{3}}}$
31858	Solve the Inequality for x	2(2x-1)>4x	$2 (2 x - 1) > 4 x$
31859	Evaluate the Limit	limit as x approaches -3 of 4f(x)-2	$lim_{x \to - 3} 4 f (x) - 2$
31860	Solve for w	w(2w-11)-8=0	$w (2 w - 11) - 8 = 0$
31861	Simplify	square root of x^3+1	$\sqrt{x^{3} + 1}$
31862	Solve for h	16+18h+14h=-14-7(-6h+20)	$16 + 18 h + 14 h = - 14 - 7 (- 6 h + 20)$
31863	Find the Third Derivative	y=-3/2x^3+1/6x^4+1/3x^-2+1/8x^2	$y = - \frac{3}{2} x^{3} + \frac{1}{6} x^{4} + \frac{1}{3} x^{- 2} + \frac{1}{8} x^{2}$
31864	Find the Midpoint	(5,11) and (9,5)	$(5, 11)$ and $(9, 5)$
31865	Find the Slope	(10,7) and (1,2)	$(10, 7)$ and $(1, 2)$
31866	Simplify	((y^3x)^(1/6))/(y^(-1/2)x^(1/3))	$\frac{{(y^{3} x)}^{\frac{1}{6}}}{y^{- \frac{1}{2}} x^{\frac{1}{3}}}$
31867	Solve for m	-161=1-6m^3	$- 161 = 1 - 6 m^{3}$
31868	Evaluate the Integral	integral of (9x^2)/((7-3x^3)^(1/2)) with respect to x	$\int \frac{9 x^{2}}{{(7 - 3 x^{3})}^{\frac{1}{2}}} d x$
31869	Evaluate the Integral	integral from -8 to 0 of (y/8+ square root of y+9) with respect to y	$\int_{- 8}^{0} (\frac{y}{8} + \sqrt{y + 9}) d y$
31870	Simplify	i^11*i^25+i^2021	$i^{11} \cdot i^{25} + i^{2021}$
31871	Divide	3x^3-3x^2-4x+3 by x+3	$3 x^{3} - 3 x^{2} - 4 x + 3$ by $x + 3$
31872	Find the Antiderivative	f(x)=1/3x^3	$f (x) = \frac{1}{3} x^{3}$
31873	Divide Using Long Polynomial Division	6x^3+23x^2+13x+11 is divided by 3x+1	$6 x^{3} + 23 x^{2} + 13 x + 11$ is divided by $3 x + 1$
31874	Write in Exponential Form	( cube root of 9ab)^4	${(\sqrt[3]{9 a b})}^{4}$
31875	Evaluate the Integral	integral from 2 to 4 of 1 with respect to x integral from x to 2x of y/(3x) with respect to y	$\int_{2}^{4} d x \int_{x}^{2 x} \frac{y}{3 x} d y$
31876	Solve for r	s/r-3=t/r	$\frac{s}{r} - 3 = \frac{t}{r}$
31877	Simplify	( cube root of 4x^3)^3	${(\sqrt[3]{4 x^{3}})}^{3}$
31878	Solve by Factoring	x^5=9x^3	$x^{5} = 9 x^{3}$
31879	Find the Exact Value	cos(60 degrees )+tan(45 degrees )	$\cos (60 °) + \tan (45 °)$
31880	Find the Exact Value	csc(585 degrees )	$\csc (585 °)$
31881	Convert to a Decimal	semieje mayor 6 semieje menor 4 eje focal enx	semieje mayor $6$ semieje menor $4$ eje focal enx
31882	Find the Derivative - d/dx	- square root of x^2+1	$- \sqrt{x^{2} + 1}$
31883	Evaluate the Integral	integral of [2/x+3e^x] with respect to x	$\int [\frac{2}{x} + 3 e^{x}] d x$
31884	Find the Antiderivative	f'(x)=x	$f' (x) = x$
31885	Find the Midpoint	(2,-14) and (-3,0)	$(2, - 14)$ and $(- 3, 0)$
31886	Solve for d	square root of d=10	$\sqrt{d} = 10$
31887	Find the Inverse	y=(1/2)^(x-1)+2	$y = {(\frac{1}{2})}^{x - 1} + 2$
31888	Find the Holes in the Graph	(x^3-16x)/(-4x^2+4x+24)	$\frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
31889	Find Amplitude, Period, and Phase Shift	y=sin(6pix-(4pi)/3)	$y = \sin (6 π x - \frac{4 π}{3})$
31890	Write in Slope-Intercept Form	(3,1) and (9,-7)	$(3, 1)$ and $(9, - 7)$
31891	Evaluate the Integral	integral of (2-3/(x^10)) with respect to x	$\int (2 - \frac{3}{x^{10}}) d x$
31892	Evaluate the Integral	integral of (9x)/((x^2+1)^4) with respect to x	$\int \frac{9 x}{{(x^{2} + 1)}^{4}} d x$
31893	Evaluate	log base 11 of 121+ log base 2 of 8^3-3 natural log of e^4	$\log_{11} (121) + \log_{2} (8^{3}) - 3 \ln (e^{4})$
31894	Evaluate the Integral	integral from 0 to natural log of 7 of (e^x)/(e^x+2) with respect to x	$\int_{0}^{\ln (7)} \frac{e^{x}}{e^{x} + 2} d x$
31895	Evaluate	3!!	$3!!$
31896	Solve for w	cube root of 2w=4	$\sqrt[3]{2 w} = 4$
31897	Divide	(a^4-a^2-2a-1)/(a^2+a+1)	$\frac{(a^{4} - a^{2} - 2 a - 1)}{a^{2} + a + 1}$
31898	Solve by Addition/Elimination	7y+13=-5x 5x=8y-28	$7 y + 13 = - 5 x$ $5 x = 8 y - 28$
31899	Simplify	(8^2)/(2^-3)	$\frac{8^{2}}{2^{- 3}}$
31900	Solve the Function Operation	Given that f(x)=x^2-19x+90 and g(x)=x-9 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} - 19 x + 90$ and $g (x) = x - 9$ ; find $f (x) \div g (x)$ and express the result in standard form.