Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11201	Add	1/4+1/2+3/4	$\frac{1}{4} + \frac{1}{2} + \frac{3}{4}$
11202	Solve for j	2+2(8347-4783)=-2j	$2 + 2 (8347 - 4783) = - 2 j$
11203	Evaluate	3(2^-1-(-3/2))+2^0	$3 (2^{- 1} - (- \frac{3}{2})) + 2^{0}$
11204	Simplify	7/(-2+ square root of 13)	$\frac{7}{- 2 + \sqrt{13}}$
11205	Simplify	((x^2+x+1)/((x+1)^2-x^2))÷((x+1/(1+x))/(x+x/(1+x)))	$\frac{x^{2} + x + 1}{{(x + 1)}^{2} - x^{2}} \div \frac{x + \frac{1}{1 + x}}{x + \frac{x}{1 + x}}$
11206	Find the x and y Intercepts	y=x^4+6x^3-x^2-6x	$y = x^{4} + 6 x^{3} - x^{2} - 6 x$
11207	Find Amplitude, Period, and Phase Shift	y=1-1/2sin(3x-pi/2)	$y = 1 - \frac{1}{2} \sin (3 x - \frac{π}{2})$
11208	Find the x and y Intercepts	f(x)=2 square root of x+4	$f (x) = 2 \sqrt{x + 4}$
11209	Expand Using Sum/Difference Formulas	sin(x-pi)	$\sin (x - π)$
11210	Graph	-5x+9<-6 or -3x+1>=7	$- 5 x + 9 < - 6$ or $- 3 x + 1 \geq 7$
11211	Find the Distance Between Two Points	(0,8) and (4,0)	$(0, 8)$ and $(4, 0)$
11212	Find the Antiderivative	f(x)=3/( square root of 2x-6)-2/(x^3)	$f (x) = \frac{3}{\sqrt{2 x - 6}} - \frac{2}{x^{3}}$
11213	Solve the Function Operation	f(x)=3x^2+6x-14 g(x)=-2x+12 Find: (gof)(x)	$f (x) = 3 x^{2} + 6 x - 14$ $g (x) = - 2 x + 12$ Find: $((g \circ f)) (x)$
11214	Find the Antiderivative	4x*e^(2x)	$4 x \cdot e^{2 x}$
11215	Solve for c	square root of 3/2z+10=cz+8	$\sqrt{\frac{3}{2} z + 10} = c z + 8$
11216	Solve for x	(2x+1)^(1/2)=-5	${(2 x + 1)}^{\frac{1}{2}} = - 5$
11217	Write the Fraction in Simplest Form	(5(w)^2)/(10w^5)	$\frac{5 {(w)}^{2}}{10 w^{5}}$
11218	Evaluate	(8xy)^-2*(x^-5y^-1)/(xy)	${(8 x y)}^{- 2} \cdot \frac{x^{- 5} y^{- 1}}{x y}$
11219	Solve in Terms of the Arbitrary Variable n	n=2 , a=36	$n = 2$ , $a = 36$
11220	Solve the Inequality for θ	cos(theta)>0	$\cos (θ) > 0$
11221	Simplify	(-2r^2s^0)(rs^4)^2	$(- 2 r^{2} s^{0}) {(r s^{4})}^{2}$
11222	Solve the Function Operation	f(x)=x^2+6x+7 g(x)=x+2 Find: g(f(x))	$f (x) = x^{2} + 6 x + 7$ $g (x) = x + 2$ Find: $g (f (x))$
11223	Find the Antiderivative	e^x-1	$e^{x} - 1$
11224	Find the Inflection Points	-1/10x^5-2x^4-12x^3	$- \frac{1}{10} x^{5} - 2 x^{4} - 12 x^{3}$
11225	Evaluate the Limit	limit as x approaches infinity of 4-3x-x^3	$lim_{x \to \infty} 4 - 3 x - x^{3}$
11226	Find the Inflection Points	f(x)=2/15x^6-x^5-8x^4	$f (x) = \frac{2}{15} x^{6} - x^{5} - 8 x^{4}$
11227	Simplify	Simplify cos(theta)+sin(theta)*tan(theta)	Simplify $\cos (θ) + \sin (θ) \cdot \tan (θ)$
11228	Simplify	sin(theta)csc(theta)-sin(theta)^2	$\sin (θ) \csc (θ) - \sin^{2} (θ)$
11229	Find dy/dx	x^4+x^2y^2-xy^3=20	$x^{4} + x^{2} y^{2} - x y^{3} = 20$
11230	Factor	4(x+y)+(x+y)^2	$4 (x + y) + {(x + y)}^{2}$
11231	Solve for f	2f+2-f=6+3f-4f-(-6)	$2 f + 2 - f = 6 + 3 f - 4 f - (- 6)$
11232	Solve for θ	(1+cos(theta))(tan(theta)-1)=0	$(1 + \cos (θ)) (\tan (θ) - 1) = 0$
11233	Simplify	((x-9)/(x-1))÷((x^2-10x+9)/(x^2-8x+7))	$\frac{x - 9}{x - 1} \div \frac{x^{2} - 10 x + 9}{x^{2} - 8 x + 7}$
11234	Determine if (2,2) is a Solution	y<=-2x+1 , (2,2)	$y \leq - 2 x + 1$ , $(2, 2)$
11235	Solve for x in Radians	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
11236	Evaluate the Limit	limit as x approaches 0 of (x^2-x-2)/(x^3-6x^2-7x+1)	$lim_{x \to 0} \frac{x^{2} - x - 2}{x^{3} - 6 x^{2} - 7 x + 1}$
11237	Simplify	(( square root of 2)/2)÷(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div (- \frac{\sqrt{2}}{2})$
11238	Convert to Radical Form	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
11239	Find the Derivative - d/dx	(e^x)/(1+e^(2x))	$\frac{e^{x}}{1 + e^{2 x}}$
11240	Solve the System of Equations	y=x^2+18x+35 y=-x^2+2x+5	$y = x^{2} + 18 x + 35$ $y = - x^{2} + 2 x + 5$
11241	Find the Center and Radius	x^2+8y^2+4x-y+20=0	$x^{2} + 8 y^{2} + 4 x - y + 20 = 0$
11242	Simplify	Subtract -7x-9 from -4x^2+3x-5	Subtract $- 7 x - 9$ from $- 4 x^{2} + 3 x - 5$
11243	Simplify	((4k^3m^2)^3)/((5k^2m^-3)^-2)	$\frac{{(4 k^{3} m^{2})}^{3}}{{(5 k^{2} m^{- 3})}^{- 2}}$
11244	Find the Cotangent Given the Point	(( square root of 10)/10,-(3 square root of 10)/10)	$(\frac{\sqrt{10}}{10}, - \frac{3 \sqrt{10}}{10})$
11245	Solve for n	square root of -5+6n=n	$\sqrt{- 5 + 6 n} = n$
11246	Add	(4x^3-x+9)+(3x^2+x-1)	$(4 x^{3} - x + 9) + (3 x^{2} + x - 1)$
11247	Evaluate the Limit	limit as x approaches infinity of (6-4x^2+x^3)/(4+5x-7x^2)	$lim_{x \to \infty} \frac{6 - 4 x^{2} + x^{3}}{4 + 5 x - 7 x^{2}}$
11248	Write in Exponential Form	a root of b root of 8	$\sqrt[a]{\sqrt[b]{8}}$
11249	Evaluate	(x+5)^(2/3)=4	${(x + 5)}^{\frac{2}{3}} = 4$
11250	Convert to Trigonometric Form	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
11251	Simplify	( square root of 7- square root of 5)/( square root of 12+ square root of 7)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{12} + \sqrt{7}}$
11252	Find the LCD	(9-x^2)/(3x) and (x^2+6x+9)/(3x)	$\frac{9 - x^{2}}{3 x}$ and $\frac{x^{2} + 6 x + 9}{3 x}$
11253	Simplify	(15n^-4p)/(5n^3p^-2)	$\frac{15 n^{- 4} p}{5 n^{3} p^{- 2}}$
11254	Simplify	(1/4gh)^3	${(\frac{1}{4} g h)}^{3}$
11255	Find the Second Derivative	S(t)=1/3t^3-3.5t^2+10t	$S (t) = \frac{1}{3} t^{3} - 3.5 t^{2} + 10 t$
11256	Simplify the Matrix	((10x^3y^2)/(5x^-3y^4))^-3 , x!=0 , y!=0	${(\frac{10 x^{3} y^{2}}{5 x^{- 3} y^{4}})}^{- 3}$ , $x \neq 0$ , $y \neq 0$
11257	Solve for x	6\|x\|=0	$6 \| x \| = 0$
11258	Solve for x	16^(x/2)=64	$16^{\frac{x}{2}} = 64$
11259	Simplify	-(x-y)	$- (x - y)$
11260	Find the Integral	(e^x)/(1+e^x)	$\frac{e^{x}}{1 + e^{x}}$
11261	Simplify	6y^2 cube root of 189x^4y^3	$6 y^{2} \sqrt[3]{189 x^{4} y^{3}}$
11262	Evaluate	square root of a/3=3	$\sqrt{\frac{a}{3}} = 3$
11263	Graph	f(x)=7x-x^3-x^5	$f (x) = 7 x - x^{3} - x^{5}$
11264	Solve the Function Operation	f(x)=5x-15 g(x)=2x^2+6x+11 Find: (fog)(x)	$f (x) = 5 x - 15$ $g (x) = 2 x^{2} + 6 x + 11$ Find: $((f \circ g)) (x)$
11265	Simplify	6/( square root of 3)*( square root of 2)/( square root of 3)	$\frac{6}{\sqrt{3}} \cdot \frac{\sqrt{2}}{\sqrt{3}}$
11266	Evaluate	10-5(12-9÷3)	$10 - 5 (12 - 9 \div 3)$
11267	Solve for y	square root of y^4+2y^2+1=-3	$\sqrt{y^{4} + 2 y^{2} + 1} = - 3$
11268	Simplify	plus or minus square root of 1/64	$\pm \sqrt{\frac{1}{64}}$
11269	Find the Domain and Range	f(x)=1/4 log base 5 of x	$f (x) = \frac{1}{4} \log_{5} (x)$
11270	Evaluate	6(-3+(5-8)^2)-2	$6 (- 3 + {(5 - 8)}^{2}) - 2$
11271	Simplify the Radical Expression	6 square root of a-2 square root of a+10 square root of b+2 square root of b	$6 \sqrt{a} - 2 \sqrt{a} + 10 \sqrt{b} + 2 \sqrt{b}$
11272	Find the Derivative - d/dx	(x^2-5/4)e^x	$(x^{2} - \frac{5}{4}) e^{x}$
11273	Solve for x	log base 4 of x^2+1 = log base 4 of -2x	$\log_{4} (x^{2} + 1) = \log_{4} (- 2 x)$
11274	Simplify	(-3x^2yz^3)/(9z^10x)	$\frac{- 3 x^{2} y z^{3}}{9 z^{10} x}$
11275	Solve for x	2(1/49)^(x-2)=14	$2 {(\frac{1}{49})}^{x - 2} = 14$
11276	Find the Antiderivative	f(x)=x square root of x-4/( square root of x)	$f (x) = x \sqrt{x} - \frac{4}{\sqrt{x}}$
11277	Convert to a Decimal	500deg	$500$ degrees
11278	Write the Fraction in Simplest Form	(3r^-7)/(-3(r^-2)^5)	$\frac{3 r^{- 7}}{- 3 {(r^{- 2})}^{5}}$
11279	Write in Standard Form	(3+5i)(2-7i^4)	$(3 + 5 i) (2 - 7 i^{4})$
11280	Simplify	(x-1)(x+3)(3x-1)(x+2)	$(x - 1) (x + 3) (3 x - 1) (x + 2)$
11281	Solve for x	1/(2x)-3/(4x)=2/(x+4)	$\frac{1}{2 x} - \frac{3}{4 x} = \frac{2}{x + 4}$
11282	Evaluate	-1/( square root of 1-(1/4)^2)	$- \frac{1}{\sqrt{1 - {(\frac{1}{4})}^{2}}}$
11283	Solve the Function Operation	sin(theta)=24/25 , theta in quadrant II	$\sin (θ) = \frac{24}{25}$ , $θ$ in quadrant $I \cdot I$
11284	Solve for x	x square root of 2=3 square root of 338	$x \sqrt{2} = 3 \sqrt{338}$
11285	Simplify	7/(6z^3)+2/(3z)	$\frac{7}{6 z^{3}} + \frac{2}{3 z}$
11286	Find the Exact Value	arccos(sin((5pi)/2))	$\arccos (\sin (\frac{5 π}{2}))$
11287	Find dy/dx	-xy^3+5y=3-x^3	$- x y^{3} + 5 y = 3 - x^{3}$
11288	Divide	(2n^3+20n^2+n)÷10n^2	$(2 n^{3} + 20 n^{2} + n) \div 10 n^{2}$
11289	Evaluate the Integral	integral of (7(4-x^2))/((x-4)(x-2)(x+3)) with respect to x	$\int \frac{7 (4 - x^{2})}{(x - 4) (x - 2) (x + 3)} d x$
11290	Simplify	(4x)/(8x+8)*(x^2+8x+7)/(8x^3)	$\frac{4 x}{8 x + 8} \cdot \frac{x^{2} + 8 x + 7}{8 x^{3}}$
11291	Find dy/dx	-xy^3-x=4y^3+4	$- x y^{3} - x = 4 y^{3} + 4$
11292	Simplify	(4i)/(4+6i)	$\frac{4 i}{4 + 6 i}$
11293	Find the Roots (Zeros)	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
11294	Simplify	(x+y)(x^2+2xy-y^2)	$(x + y) (x^{2} + 2 x y - y^{2})$
11295	Find the Derivative - d/dx	6e^(4x)-2e^(3x)-4	$6 e^{4 x} - 2 e^{3 x} - 4$
11296	Multiply	5/61/53	$\frac{5}{6} \cdot \frac{1}{5} \cdot 3$
11297	Expand Using Sum/Difference Formulas	5(2x-4)	$5 (2 x - 4)$
11298	Simplify	(2 square root of 5- square root of 10)*(5 square root of 2+ square root of 10)	$(2 \sqrt{5} - \sqrt{10}) \cdot (5 \sqrt{2} + \sqrt{10})$
11299	Simplify	-(2/3)^0	$- {(\frac{2}{3})}^{0}$
11300	Graph	y=1-3cos(3(x-pi/3))	$y = 1 - 3 \cos (3 (x - \frac{π}{3}))$