Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11901	Solve for x	37x+1/2-(x+1/4)=9(4x-7)+5	$37 x + \frac{1}{2} - (x + \frac{1}{4}) = 9 (4 x - 7) + 5$
11902	Simplify	(2x^2)^-2*(2x^4)^2	${(2 x^{2})}^{- 2} \cdot {(2 x^{4})}^{2}$
11903	Solve the Inequality for x	2<x/3+8<17	$2 < \frac{x}{3} + 8 < 17$
11904	Solve the Inequality for x	3x/2+3\|x-2\|<=3	$3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
11905	Simplify	2x^-3y^3*-10x^3y	$2 x^{- 3} y^{3} \cdot - 10 x^{3} y$
11906	Simplify	((3^9)/(3^5))^2	${(\frac{3^{9}}{3^{5}})}^{2}$
11907	Convert to Rectangular	r=2cos(theta)+2sin(theta)	$r = 2 \cos (θ) + 2 \sin (θ)$
11908	Simplify	(d^(1/2))/(d^(1/2))	$\frac{d^{\frac{1}{2}}}{d^{\frac{1}{2}}}$
11909	Solve by Graphing	y=4/3x-3 y=1	$y = \frac{4}{3} x - 3$ $y = 1$
11910	Solve for w	-2/3=w-7/3	$- \frac{2}{3} = w - \frac{7}{3}$
11911	Solve for x	(x+2)/(x+3)=18/24	$\frac{x + 2}{x + 3} = \frac{18}{24}$
11912	Simplify	(25x^2+10xy+4y^2)(5x-2y)	$(25 x^{2} + 10 x y + 4 y^{2}) (5 x - 2 y)$
11913	Solve the System of Equations	y=-x^2+4 y=x^2+4	$y = - x^{2} + 4$ $y = x^{2} + 4$
11914	Convert from Radians to Degrees	pi/12rad	$\frac{π}{12}$ rad
11915	Simplify	(-3/5)^3	${(\frac{- 3}{5})}^{3}$
11916	Simplify	square root of 8( square root of 2- square root of 3)	$\sqrt{8} (\sqrt{2} - \sqrt{3})$
11917	Find the Roots (Zeros)	square root of 2x-3=x-3	$\sqrt{2 x - 3} = x - 3$
11918	Simplify	5^(1/2)+10(125)^(1/2)	$5^{\frac{1}{2}} + 10 {(125)}^{\frac{1}{2}}$
11919	Simplify	( square root of 5+2 square root of 3)( square root of 5-2 square root of 3)	$(\sqrt{5} + 2 \sqrt{3}) (\sqrt{5} - 2 \sqrt{3})$
11920	Simplify	0^-1	$0^{- 1}$
11921	Determine the Possible Number of Real Roots	-9/16	$- \frac{9}{16}$
11922	Solve for z	2^(3z+9)=8^(2z+1)	$2^{3 z + 9} = 8^{2 z + 1}$
11923	Simplify	(-6 square root of 80)	$(- 6 \sqrt{80})$
11924	Simplify	(-3x-6)/(x^2-x-6)	$\frac{- 3 x - 6}{x^{2} - x - 6}$
11925	Simplify	3/(x+3)+x/(x^2+7x+12)	$\frac{3}{x + 3} + \frac{x}{x^{2} + 7 x + 12}$
11926	Find the Possible Factors	factors of 25	factors of $25$
11927	Find the Reference Angle	135deg	$135$ degrees
11928	Convert from Degrees to Radians	(135pi)/180	$\frac{135 π}{180}$
11929	Graph	y=9^(1-x^2)	$y = 9^{1 - x^{2}}$
11930	Solve for x	(10x/6)(10x/8)=10^10	$(10 \frac{x}{6}) (10 \frac{x}{8}) = 10^{10}$
11931	Divide	(9x^2-y^2)÷(3x+y)	$(9 x^{2} - y^{2}) \div (3 x + y)$
11932	Evaluate	(3pi)/2-(2pi)/3	$\frac{3 π}{2} - \frac{2 π}{3}$
11933	Find the Derivative - d/dx	y=2/3x^4+5x-x^-3	$y = \frac{2}{3} x^{4} + 5 x - x^{- 3}$
11934	Find the Exact Value	sin(1/(2/(5pi)))	$\sin (\frac{1}{\frac{2}{5 π}})$
11935	Simplify	(-2/9)(-3x)(-6)	$(- \frac{2}{9}) (- 3 x) (- 6)$
11936	Find the Antiderivative	(1/x)^2	${(\frac{1}{x})}^{2}$
11937	Find the Exact Value	csc(480 degrees )	$\csc (480 °)$
11938	Evaluate the Integral	integral of x(3x+5)(4x-5) with respect to x	$\int x (3 x + 5) (4 x - 5) d x$
11939	Evaluate	( square root of 9)/2-(2^3+(-3/2+8(10-3)))	$\frac{\sqrt{9}}{2} - (2^{3} + (- \frac{3}{2} + 8 (10 - 3)))$
11940	Graph	y=1- square root of 2x+3	$y = 1 - \sqrt{2 x + 3}$
11941	Simplify the Radical Expression	cube root of (x-5)^6	$\sqrt[3]{{(x - 5)}^{6}}$
11942	Simplify	(3+4i)-(7-5i)+2i(9+12i)	$(3 + 4 i) - (7 - 5 i) + 2 i (9 + 12 i)$
11943	Find the x and y Intercepts	(3x^2-9x+6)/(5x-10)	$\frac{3 x^{2} - 9 x + 6}{5 x - 10}$
11944	Find the Upper and Lower Bounds	f(x)=x^4-x^3-2x^2+5x-6	$f (x) = x^{4} - x^{3} - 2 x^{2} + 5 x - 6$
11945	Simplify the Radical Expression	square root of 4(x-1)^8	$\sqrt{4 {(x - 1)}^{8}}$
11946	Find Where Increasing/Decreasing	f(x)=-2/3x	$f (x) = - \frac{2}{3} x$
11947	Solve for x	2^(x^2-4)=3^(x^2-4)	$2^{x^{2} - 4} = 3^{x^{2} - 4}$
11948	Simplify	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
11949	Determine if a Polynomial	m+m^2	$m + m^{2}$
11950	Solve for T	B=T-LC	$B = T - L C$
11951	Graph	y=1/2cot(x/2)	$y = \frac{1}{2} \cot (\frac{x}{2})$
11952	Evaluate the Integral	integral from 0 to pi/3 of (3sin(theta)+3sin(theta)tan(theta)^2)/(sec(theta)^2) with respect to theta	$\int_{0}^{\frac{π}{3}} \frac{3 \sin (θ) + 3 \sin (θ) \tan^{2} (θ)}{\sec^{2} (θ)} d θ$
11953	Factor	x^4-5x^2-36=0	$x^{4} - 5 x^{2} - 36 = 0$
11954	Solve the Function Operation	f(x)=-6x-28 if x<=-5; -1 if x>0 Find f(5)	$f (x) = {\begin{cases} - 6 x - 28 & x \leq - 5 \\ - 1 & x > 0 \end{cases}$ Find $f (5)$
11955	Simplify	(3a)/( square root of 9+ square root of 5)	$\frac{3 a}{\sqrt{9} + \sqrt{5}}$
11956	Simplify	square root of 2^3* fifth root of 2^4	$\sqrt{2^{3}} \cdot \sqrt[5]{2^{4}}$
11957	Find the Product	(8a^2+4)(8a^2-4)	$(8 a^{2} + 4) (8 a^{2} - 4)$
11958	Simplify	( square root of 3-2)/(4+ square root of 3)	$\frac{\sqrt{3} - 2}{4 + \sqrt{3}}$
11959	Graph	5/8z>5/6	$\frac{5}{8} z > \frac{5}{6}$
11960	Solve for x	(2^5)/(2^(-2x))=2^8	$\frac{2^{5}}{2^{- 2 x}} = 2^{8}$
11961	Simplify	(16^-2a^-4b^0)/((2a^2b)^-5)	$\frac{16^{- 2} a^{- 4} b^{0}}{{(2 a^{2} b)}^{- 5}}$
11962	Evaluate	1*2/( square root of 3)	$1 \cdot \frac{2}{\sqrt{3}}$
11963	Find the Concavity	f(x)=1/3x^3-3x^2-16x	$f (x) = \frac{1}{3} x^{3} - 3 x^{2} - 16 x$
11964	Evaluate the Integral	integral from e to 4 of 1/(x natural log of x) with respect to x	$\int_{e}^{4} \frac{1}{x \ln (x)} d x$
11965	Find the Quotient	(12x^2-7x+8)/(3x+2)	$\frac{12 x^{2} - 7 x + 8}{3 x + 2}$
11966	Find P(s(x))	P(x)=3x^2+1 and s(a)=4a+4	$P (x) = 3 x^{2} + 1$ and $s (a) = 4 a + 4$
11967	Solve by Substitution	6x-9=y and y=-3x	$6 x - 9 = y$ and $y = - 3 x$
11968	Divide	((-4x-12)/(x-7))÷((x^2-12x+36)/(2x-14))	$\frac{- 4 x - 12}{x - 7} \div \frac{x^{2} - 12 x + 36}{2 x - 14}$
11969	Evaluate the Integral	integral of 1/(2 square root of x^3) with respect to x	$\int \frac{1}{2 \sqrt{x^{3}}} d x$
11970	Simplify	((15n^5m^3)/(5m^4n^2))^2	${(\frac{15 n^{5} m^{3}}{5 m^{4} n^{2}})}^{2}$
11971	Evaluate	square root of x+7-x=1	$\sqrt{x + 7} - x = 1$
11972	Solve for x	(2x^2+5x-3)/(x+3)=7	$\frac{2 x^{2} + 5 x - 3}{x + 3} = 7$
11973	Solve for x	8^x=2^5*4^4	$8^{x} = 2^{5} \cdot 4^{4}$
11974	Simplify	((4x^5y)/(16xy^4))	$(\frac{4 x^{5} y}{16 x y^{4}})$
11975	Simplify	(4x)/3-2(x+4)	$\frac{4 x}{3} - 2 (x + 4)$
11976	Solve by Graphing	y=-1/2x+8 x-4y=-8	$y = - \frac{1}{2} x + 8$ $x - 4 y = - 8$
11977	Solve for x	-7+(2x+3)^(1/3)=0	$- 7 + {(2 x + 3)}^{\frac{1}{3}} = 0$
11978	Solve for x	y=x/(x-1)	$y = \frac{x}{x - 1}$
11979	Simplify	(x^2-10x+25)/(10x-100)*(x-10)/(45-9x)	$\frac{x^{2} - 10 x + 25}{10 x - 100} \cdot \frac{x - 10}{45 - 9 x}$
11980	Simplify	(16 square root of 3)/( square root of 8)	$\frac{16 \sqrt{3}}{\sqrt{8}}$
11981	Evaluate the Limit	limit as x approaches 0 of (x^2-3x)/(2x^2-9x)	$lim_{x \to 0} \frac{x^{2} - 3 x}{2 x^{2} - 9 x}$
11982	Find the GCF	10a^2b+12ab^2	$10 a^{2} b + 12 a b^{2}$
11983	Simplify	(x/(xy)-2)/(2xy-3/y)	$\frac{\frac{x}{x y} - 2}{2 x y - \frac{3}{y}}$
11984	Find the Cosecant Given the Point	(-2, square root of 3)	$(- 2, \sqrt{3})$
11985	Solve for x	(2(x-3))/4=(3x-5)/14	$\frac{2 (x - 3)}{4} = \frac{3 x - 5}{14}$
11986	Divide	(a^6+b^6)÷(a^2+b^2)	$(a^{6} + b^{6}) \div (a^{2} + b^{2})$
11987	Solve the Rational Equation for x	3- square root of x-4=0	$3 - \sqrt{x - 4} = 0$
11988	Find the Roots (Zeros)	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
11989	Solve for b	a=-bcd	$a = - b c d$
11990	Solve the Inequality for x	(x+1)(x^2-6x+9)>0	$(x + 1) (x^{2} - 6 x + 9) > 0$
11991	Solve the Rational Equation for x	cube root of 2x=4	$\sqrt[3]{2 x} = 4$
11992	Solve for x	2/(x+3)+1/(x-4)=-4/(x^2-x-12)	$\frac{2}{x + 3} + \frac{1}{x - 4} = - \frac{4}{x^{2} - x - 12}$
11993	Solve the Function Operation	f(x)=4x-2 g(x)=x^2+5x+15 Find: (fog)(x)	$f (x) = 4 x - 2$ $g (x) = x^{2} + 5 x + 15$ Find: $((f \circ g)) (x)$
11994	Find the Derivative - d/dx	sinh(2x)	$\sinh (2 x)$
11995	Evaluate	log base 2/3 of 9/4	$\log_{\frac{2}{3}} (\frac{9}{4})$
11996	Evaluate the Limit	limit as x approaches negative infinity of ( square root of x+3x^2)/(-4x+1)	$lim_{x \to - \infty} \frac{\sqrt{x + 3 x^{2}}}{- 4 x + 1}$
11997	Find dx/dy	xy+y^2=1	$x y + y^{2} = 1$
11998	Solve for x	15/(x+7)=x+5	$\frac{15}{x + 7} = x + 5$
11999	Solve the Inequality for h	h/2<-5	$\frac{h}{2} < - 5$
12000	Solve for x	Solve 81^x=27^(x+2)	Solve $81^{x} = 27^{x + 2}$