Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12901	Solve the Inequality for w	w-222<=-13	$w - 222 \leq - 13$
12902	Simplify	(1-sin(x)^2)/(1-cos(x)^2)	$\frac{1 - \sin^{2} (x)}{1 - \cos^{2} (x)}$
12903	Convert to a Decimal	310deg	$310$ degrees
12904	Evaluate	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
12905	Evaluate the Integral	integral of (12x^-6+17/(3x)) with respect to x	$\int (12 x^{- 6} + \frac{17}{3 x}) d x$
12906	Find dy/dx	3y+2x^2=-xy	$3 y + 2 x^{2} = - x y$
12907	Solve for t	h=(3 cube root of t)/2	$h = \frac{3 \sqrt[3]{t}}{2}$
12908	Simplify	(x^2+x-2)/(-x^2-2x+3)	$\frac{x^{2} + x - 2}{- x^{2} - 2 x + 3}$
12909	Solve for θ in Degrees	csc(theta)^2+csc(theta)-2=0	$\csc^{2} (θ) + \csc (θ) - 2 = 0$
12910	Simplify	(2+6i)+(-3+-9i)	$(2 + 6 i) + (- 3 + - 9 i)$
12911	Solve the Inequality for x	-5(x+3)>2x+7+5x	$- 5 (x + 3) > 2 x + 7 + 5 x$
12912	Multiply	7xy(3x^2+4y+2)	$7 x y (3 x^{2} + 4 y + 2)$
12913	Simplify	5xy^2(3+2y)	$5 x y^{2} (3 + 2 y)$
12914	Simplify	(4^-2(2)^-2)/(2^-1)	$\frac{4^{- 2} {(2)}^{- 2}}{2^{- 1}}$
12915	Simplify	fourth root of 81x^8* cube root of 27x^9	$\sqrt[4]{81 x^{8}} \cdot \sqrt[3]{27 x^{9}}$
12916	Solve for x	-3+8x-2x=5-12-9x	$- 3 + 8 x - 2 x = 5 - 12 - 9 x$
12917	Evaluate	x^2-9=0	$x^{2} - 9 = 0$
12918	Simplify the Matrix	cube root of 3 , cube root of 24	$\sqrt[3]{3}$ , $\sqrt[3]{24}$
12919	Find the Inflection Points	1/5x^5-x^4-12x^3	$\frac{1}{5} x^{5} - x^{4} - 12 x^{3}$
12920	Solve the System of Inequalities	5+m>-2 OR 2m<-20	$5 + m > - 2$ OR $2 m < - 20$
12921	Evaluate	(2xy)^2(-3x^2)(4y^2)	${(2 x y)}^{2} (- 3 x^{2}) (4 y^{2})$
12922	Evaluate the Function	f(x)=0.5^x , x=-3	$f (x) = {0.5}^{x}$ , $x = - 3$
12923	Solve for x	-1/3-1/12x=-1/2	$- \frac{1}{3} - \frac{1}{12} x = - \frac{1}{2}$
12924	Find the Inverse	y=(1/4x+6)^3	$y = {(\frac{1}{4} x + 6)}^{3}$
12925	Evaluate	i^17i^30i^6*i^19	$i^{17} \cdot i^{30} \cdot i^{6} \cdot i^{19}$
12926	Find the Exact Value	cos((3pi)/2)-sin((17pi)/6)	$\cos (\frac{3 π}{2}) - \sin (\frac{17 π}{6})$
12927	Solve for x	y=9-7x , y=37	$y = 9 - 7 x$ , $y = 37$
12928	Solve for a	a/c+3=13	$\frac{a}{c} + 3 = 13$
12929	Solve for y	82=1-3y^3	$82 = 1 - 3 y^{3}$
12930	Simplify	(x+1)/(3x^2+6x)-(1-2x)/(3x^2+6x)	$\frac{x + 1}{3 x^{2} + 6 x} - \frac{1 - 2 x}{3 x^{2} + 6 x}$
12931	Simplify	5x+6y-3(4y+2x)-8x	$5 x + 6 y - 3 (4 y + 2 x) - 8 x$
12932	Solve by Addition/Elimination	3x+y=1/3 2x-3y=8/3	$3 x + y = \frac{1}{3}$ $2 x - 3 y = \frac{8}{3}$
12933	Add	find the sum of 10x^2-10x-6 and x+6	find the sum of $10 x^{2} - 10 x - 6$ and $x + 6$
12934	Graph	y=3cos(pi)(x+1/2)	$y = 3 \cos (π) (x + \frac{1}{2})$
12935	Evaluate	(3.0-19)/(3+3.0)	$\frac{(3 - 19)}{(3 + 3)}$
12936	Find the Integral	1/(x^2+2)	$\frac{1}{x^{2} + 2}$
12937	Evaluate	(-4-5)/(8-2)	$\frac{- 4 - 5}{8 - 2}$
12938	Solve the Rational Equation for v	square root of 3-2v+17=20	$\sqrt{3 - 2 v} + 17 = 20$
12939	Solve the Function Operation	f(x)=2x^2+6x-7 g(x)=-2x-3 Find: (fog)(x)	$f (x) = 2 x^{2} + 6 x - 7$ $g (x) = - 2 x - 3$ Find: $((f \circ g)) (x)$
12940	Solve the Function Operation	f(x)=x^2-2 if x!=0; -6 if x=0 Find f(-1)	$f (x) = {\begin{cases} x^{2} - 2 & x \neq 0 \\ - 6 & x = 0 \end{cases}$ Find $f (- 1)$
12941	Graph	3y>=9/2x	$3 y \geq \frac{9}{2} x$
12942	Evaluate	(1/2-5/3)^2	${(\frac{1}{2} - \frac{5}{3})}^{2}$
12943	Evaluate the Integral	integral from 0 to 1 of ( natural log of x)/x with respect to x	$\int_{0}^{1} \frac{\ln (x)}{x} d x$
12944	Integrate Using u-Substitution	integral of tan(x)^2sec(x)^2 with respect to x	$\int \tan^{2} (x) \sec^{2} (x) d x$
12945	Combine Like Terms	5b+3a-2a-10b	$5 b + 3 a - 2 a - 10 b$
12946	Solve for x	(2x-8)/(3x)+2/3=2	$\frac{2 x - 8}{3 x} + \frac{2}{3} = 2$
12947	Multiply	6 square root of 15y^4*2 square root of 20y^2	$6 \sqrt{15 y^{4}} \cdot 2 \sqrt{20 y^{2}}$
12948	Solve the Function Operation	f(x)=2x^2-x+12 g(x)=-3x-4 Find: (gof)(x)	$f (x) = 2 x^{2} - x + 12$ $g (x) = - 3 x - 4$ Find: $((g \circ f)) (x)$
12949	Subtract	9/12-2/4	$\frac{9}{12} - \frac{2}{4}$
12950	Solve by Graphing	y=-5/3x-6 2x-3y=-24	$y = - \frac{5}{3} x - 6$ $2 x - 3 y = - 24$
12951	Evaluate the Limit	limit as x approaches infinity of ((x+1)(5x-3))/(x^2+3)	$lim_{x \to \infty} \frac{(x + 1) (5 x - 3)}{x^{2} + 3}$
12952	Find the x and y Intercepts	-x-y=1/2	$- x - y = \frac{1}{2}$
12953	Find the Antiderivative	(x-1)/(x+2)	$\frac{x - 1}{x + 2}$
12954	Simplify	fourth root of 27* square root of 3* sixth root of 81^3	$\sqrt[4]{27} \cdot \sqrt{3} \cdot \sqrt[6]{81^{3}}$
12955	Integrate Using u-Substitution	integral of tan(x)sec(x)^2 with respect to x	$\int \tan (x) \sec^{2} (x) d x$
12956	Evaluate the Function	g(r)=25-3r	$g (r) = 25 - 3 r$
12957	Solve the Function Operation	f(x)=x^3+2 ; find f^-1(x)	$f (x) = x^{3} + 2$ ; find $f^{- 1} (x)$
12958	Find the Maximum/Minimum Value	y=6sin(pix-6)-6	$y = 6 \sin (π x - 6) - 6$
12959	Factor	27p^3-1/216-9/2p^2+1/4p	$27 p^{3} - \frac{1}{216} - \frac{9}{2} p^{2} + \frac{1}{4} p$
12960	Graph	y=3sin(-x/3)	$y = 3 \sin (- \frac{x}{3})$
12961	Simplify	(5y^3)(2y)(y^2)	$(5 y^{3}) (2 y) (y^{2})$
12962	Solve for x	(3x+2)÷5=31	$(3 x + 2) \div 5 = 31$
12963	Simplify	(3+ square root of -4)(4+ square root of -1)	$(3 + \sqrt{- 4}) (4 + \sqrt{- 1})$
12964	Simplify	fourth root of square root of x^7	$\sqrt[4]{\sqrt[2]{x^{7}}}$
12965	Expand Using Sum/Difference Formulas	6(x-4y)	$6 (x - 4 y)$
12966	Solve the Function Operation	f(x)=(x+9)^3 ; find f^-1(x)	$f (x) = {(x + 9)}^{3}$ ; find $f^{- 1} (x)$
12967	Simplify	((6-x)/-9*(-2x)/(x^2-13x+42))÷((6x^2+42x)/(x^2-49))	$\frac{6 - x}{- 9} \cdot \frac{- 2 x}{x^{2} - 13 x + 42} \div \frac{6 x^{2} + 42 x}{x^{2} - 49}$
12968	Write Using Positive Exponents	2x^3y^-3*2x^-1y^3	$2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$
12969	Simplify	5x^3y^3 cube root of 8x^9y^6	$5 x^{3} y^{3} \sqrt[3]{8 x^{9} y^{6}}$
12970	Find the Antiderivative	1/(x(x-3))	$\frac{1}{x (x - 3)}$
12971	Simplify	cube root of 7* cube root of 20* cube root of 14* cube root of 98	$\sqrt[3]{7} \cdot \sqrt[3]{20} \cdot \sqrt[3]{14} \cdot \sqrt[3]{98}$
12972	Simplify	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
12973	Multiply	square root of 3* cube root of 9	$\sqrt{3} \cdot \sqrt[3]{9}$
12974	Find the Derivative - d/dx	\|x\|-3\|x+1\|	$\| x \| - 3 \| x + 1 \|$
12975	Write the Fraction in Simplest Form	((4h^4)^4)/(4h^-8)	$\frac{{(4 h^{4})}^{4}}{4 h^{- 8}}$
12976	Subtract	-5x^2+7x+1-8x^2+x-10	$- 5 x^{2} + 7 x + 1 - 8 x^{2} + x - 10$
12977	Simplify	square root of fourth root of x^6	$\sqrt{\sqrt[4]{x^{6}}}$
12978	Find All Complex Solutions	\|x+7\|+6=9	$\| x + 7 \| + 6 = 9$
12979	Find dy/dx	y=arctan(sin(x^2-6x))	$y = \arctan (\sin (x^{2} - 6 x))$
12980	Combine Like Terms	x+5x+x-3x	$x + 5 x + x - 3 x$
12981	Simplify	cube root of (8x^6)/(y^-12)	$\sqrt[3]{\frac{8 x^{6}}{y^{- 12}}}$
12982	Evaluate Using the Given Value	2x^5-7x^4-5x^3+18x^2-1 at x=-1	$2 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 1$ at $x = - 1$
12983	Simplify	2x+3(x-2)-3(x-6)	$2 x + 3 (x - 2) - 3 (x - 6)$
12984	Find the Product	a^4(3a^2-2a+1)	$a^{4} (3 a^{2} - 2 a + 1)$
12985	Simplify	10 root of x^15	$\sqrt[10]{x^{15}}$
12986	Solve for x	log base 2x of 16=-2	$\log_{2 x} (16) = - 2$
12987	Solve for x	1 2/3÷x=2 7/9	$1 \frac{2}{3} \div x = 2 \frac{7}{9}$
12988	Find the Complex Conjugate	square root of 8-6	$\sqrt{8} - 6$
12989	Solve the Function Operation	Let f(x)=x^2-16 and g(x)=x+4 Find f/g and its domain.	Let $f (x) = x^{2} - 16$ and $g (x) = x + 4$ Find $\frac{f}{g}$ and its domain.
12990	Simplify	square root of cube root of 5	$\sqrt{\sqrt[3]{5}}$
12991	Determine if a Polynomial	6m^3-14m^2+3/4	$6 m^{3} - 14 m^{2} + \frac{3}{4}$
12992	Find the Antiderivative	e^x+e^(-x)	$e^{x} + e^{- x}$
12993	Find the Reference Angle	150deg	$150$ degrees
12994	Evaluate	30% of 20	$30 %$ of $20$
12995	Solve the Function Operation	f(x) = fifth root of x+2 ; find f^-1(x)	$f (x) = \sqrt[5]{x + 2}$ ; find $f^{- 1} (x)$
12996	Simplify	((2c^3d^5)/(5g^2))^5	${(\frac{2 c^{3} d^{5}}{5 g^{2}})}^{5}$
12997	Find the Asymptotes	(5x^2-45x+100)/(-4x^2+20x)	$\frac{5 x^{2} - 45 x + 100}{- 4 x^{2} + 20 x}$
12998	Simplify the Radical Expression	6 cube root of 25ab^2*5 cube root of 5a^2b	$6 \sqrt[3]{25 a b^{2}} \cdot 5 \sqrt[3]{5 a^{2} b}$
12999	Simplify	(ab^2+ba^3)-(4a^3b-ab^2-5ab)	$(a b^{2} + b a^{3}) - (4 a^{3} b - a b^{2} - 5 a b)$
13000	Solve the Inequality for x	(\|2x\|)/-6>-2	$\frac{\| 2 x \|}{- 6} > - 2$