Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39201	Find the Exact Value	sec(pi)-csc(pi/2)	$\sec (π) - \csc (\frac{π}{2})$
39202	Solve for y	-2/(y+3)=3/y	$\frac{- 2}{y + 3} = \frac{3}{y}$
39203	Evaluate	(x^-6)/(x^-8y^-5y^2)	$\frac{x^{- 6}}{x^{- 8} y^{- 5} y^{2}}$
39204	Simplify	(5y^2-2y+1)-(y^2+y+3)	$(5 y^{2} - 2 y + 1) - (y^{2} + y + 3)$
39205	Evaluate the Integral	integral of 44/(x^2 square root of x^2+16) with respect to x	$\int \frac{44}{x^{2} \sqrt{x^{2} + 16}} d x$
39206	Factor	x^2-10x-81-y^2-18y+25	$x^{2} - 10 x - 81 - y^{2} - 18 y + 25$
39207	Solve for x	1/4x+1=-1/2x+3	$\frac{1}{4} x + 1 = - \frac{1}{2} x + 3$
39208	Convert to a Percentage	0.2*100%	$0.2 \cdot 100 %$
39209	Evaluate	2500*e^(0.025(4))	$2500 \cdot e^{0.025 (4)}$
39210	Solve for x	2x^2-7=-7x-3	$2 x^{2} - 7 = - 7 x - 3$
39211	Integrate Using u-Substitution	integral of 2xcos(x^2) with respect to x	$\int 2 x \cos (x^{2}) d x$
39212	Simplify	(-2 square root of 3)/4	$\frac{- 2 \sqrt{3}}{4}$
39213	Evaluate the Integral	integral from 0 to pi/4 of 3sec(theta)^4tan(theta)^4 with respect to theta	$\int_{0}^{\frac{π}{4}} 3 \sec^{4} (θ) \tan^{4} (θ) d θ$
39214	Simplify	2a-(-3a)-7a+8b-b+(-2b)	$2 a - (- 3 a) - 7 a + 8 b - b + (- 2 b)$
39215	Solve the Function Operation	Find p(-4) if p(x)=3x^2-4x+7	Find $p (- 4)$ if $p (x) = 3 x^{2} - 4 x + 7$
39216	Find the Slope	(9,8) and (-1,-3)	$(9, 8)$ and $(- 1, - 3)$
39217	Simplify	cot((5pi)/3)	$\cot (\frac{5 π}{3})$
39218	Find the Product	( square root of 2-7)( square root of 2+7)	$(\sqrt{2} - 7) (\sqrt{2} + 7)$
39219	Simplify	4/(11+X)+(X+2)/(11+X)	$\frac{4}{11 + X} + \frac{X + 2}{11 + X}$
39220	Simplify	4a^3+6a^2b^3+6a^3+9a^2b^3	$4 a^{3} + 6 a^{2} b^{3} + 6 a^{3} + 9 a^{2} b^{3}$
39221	Evaluate	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
39222	Evaluate	square root of 3*2 square root of 2	$\sqrt{3} \cdot 2 \sqrt{2}$
39223	Simplify	(2x^2+7x-15)/(3x^2+16x+5)*(3x^2-2x-1)/(2x^2-x-3)	$\frac{2 x^{2} + 7 x - 15}{3 x^{2} + 16 x + 5} \cdot \frac{3 x^{2} - 2 x - 1}{2 x^{2} - x - 3}$
39224	Simplify	square root of 2a(2 square root of 8a+ square root of 2a^3)	$\sqrt{2 a} (2 \sqrt{8 a} + \sqrt{2 a^{3}})$
39225	Find the Domain	Let f(x)=3x-6 and g(x)=x-2 Find f/g and its domain.	Let $f (x) = 3 x - 6$ and $g (x) = x - 2$ Find $\frac{f}{g}$ and its domain.
39226	Solve for x	2x=y-3	$2 x = y - 3$
39227	Evaluate	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
39228	Find the LCM	14 and 7	$14$ and $7$
39229	Graph	y<-1 or y>=1	$y < - 1$ or $y \geq 1$
39230	Solve the Function Operation	When f(x)=x^2+9 and g(x)=x-9 ; find f(x)-g(x)	When $f (x) = x^{2} + 9$ and $g (x) = x - 9$ ; find $f (x) - g (x)$
39231	Find the x and y Intercepts	f(x)=-(x^2+1)(x-4)	$f (x) = - (x^{2} + 1) (x - 4)$
39232	Solve for x	x+3/2=-7/4	$x + \frac{3}{2} = - \frac{7}{4}$
39233	Integrate By Parts	integral of x/(e^x) with respect to x	$\int \frac{x}{e^{x}} d x$
39234	Solve for B in Degrees	5tan(B)+7=2tan(B)+4	$5 \tan (B) + 7 = 2 \tan (B) + 4$
39235	Find the Second Derivative	natural log of 1-x^2	$\ln (1 - x^{2})$
39236	Find the Derivative - d/dx	pi^( square root of x)	$π^{\sqrt{x}}$
39237	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-2x^2+3x-4 is divided by x-1	Use synthetic division to find the result when $3 x^{3} - 2 x^{2} + 3 x - 4$ is divided by $x - 1$
39238	Expand Using Sum/Difference Formulas	3(x+2)	$3 (x + 2)$
39239	Evaluate	square root of 3n+12 = square root of n+8	$\sqrt{3 n + 12} = \sqrt{n + 8}$
39240	Simplify the Radical Expression	-9 square root of 3- square root of 9+ square root of 48+ square root of 12	$- 9 \sqrt{3} - \sqrt{9} + \sqrt{48} + \sqrt{12}$
39241	Solve Using the Quadratic Formula	(x+3)(x+2)=x+13	$(x + 3) (x + 2) = x + 13$
39242	Simplify	((8x^2y^2z)/(xz^3))÷((10xy)/(x^4z))	$\frac{8 x^{2} y^{2} z}{x z^{3}} \div \frac{10 x y}{x^{4} z}$
39243	Simplify	(8- square root of 12)(4+ square root of 3)	$(8 - \sqrt{12}) (4 + \sqrt{3})$
39244	Determine if Dependent, Independent, or Inconsistent	3x+y=-2 6x+2y=10	$3 x + y = - 2$ $6 x + 2 y = 10$
39245	Solve for m	log base m of 81=4	$\log_{m} (81) = 4$
39246	Simplify	(1/8)^x+(1/8)^(x-2)	${(\frac{1}{8})}^{x} + {(\frac{1}{8})}^{x - 2}$
39247	Evaluate the Integral	pi integral from 0 to 6 of (-x+6)^2 with respect to x	$π \int_{0}^{6} {(- x + 6)}^{2} d x$
39248	Factor	25x^2+100-100x	$25 x^{2} + 100 - 100 x$
39249	Solve for n	5^(3n)=125	$5^{3 n} = 125$
39250	Simplify	((3x^2)/10)/((9x^2)/4)	$\frac{\frac{3 x^{2}}{10}}{\frac{9 x^{2}}{4}}$
39251	Graph	y = log base 2 of \|x\|	$y = \log_{2} (\| x \|)$
39252	Solve for y	y=(-2+2)^2	$y = {(- 2 + 2)}^{2}$
39253	Add	x^4-3x+1 , 4x^2-2x+8 ; and x^3-9	$x^{4} - 3 x + 1$ , $4 x^{2} - 2 x + 8$ ; and $x^{3} - 9$
39254	Solve the Inequality for z	\|2z-9\|<=1	$\| 2 z - 9 \| \leq 1$
39255	Factor	3x^3+6x^2-6x-36	$3 x^{3} + 6 x^{2} - 6 x - 36$
39256	Factor	F(x)=x^2+2x	$F (x) = x^{2} + 2 x$
39257	Simplify	fifth root of h^6 cube root of h	$\sqrt[5]{h^{6}} \sqrt[3]{h}$
39258	Simplify	fifth root of fourth root of cube root of square root of 8	$\sqrt[5]{\sqrt[4]{\sqrt[3]{\sqrt{8}}}}$
39259	Find the x and y Intercepts	f(x)=-3/4x^-5	$f (x) = - \frac{3}{4} x^{- 5}$
39260	Graph	f(x)=-3/4x^-5	$f (x) = - \frac{3}{4} x^{- 5}$
39261	Integrate Using u-Substitution	integral of x/( square root of 1-x^4) with respect to x	$\int \frac{x}{\sqrt{1 - x^{4}}} d x$
39262	Find the Asymptotes	f(x)=1/(3x+18)+2	$f (x) = \frac{1}{3 x + 18} + 2$
39263	Add	(4x^2+6x-5)-(-7x^2-4x-2)	$(4 x^{2} + 6 x - 5) - (- 7 x^{2} - 4 x - 2)$
39264	Solve for x	-8/(x+6)=3/(2x)	$\frac{- 8}{x + 6} = \frac{3}{2 x}$
39265	Graph	f(x)=-2/3(x-6)+4,x<6; 2/3(x-6)+4,x>=6	$f (x) = {\begin{cases} - \frac{2}{3} (x - 6) + 4, x < 6 \\ \frac{2}{3} (x - 6) + 4, x \geq 6 \end{cases}$
39266	Find the Derivative - d/dx	(x^2+1)sin(3x-1)	$(x^{2} + 1) \sin (3 x - 1)$
39267	Solve the Function Operation	If f(x)=x^2-2x and g(x)=6x+4 ; for which value of x does (f+g)(x)=0 ?	If $f (x) = x^{2} - 2 x$ and $g (x) = 6 x + 4$ ; for which value of $x$ does $(f + g) (x) = 0$ ?
39268	Find the Second Derivative	f(x)=x^2+x	$f (x) = x^{2} + x$
39269	Integrate Using u-Substitution	integral of 1/( square root of 2x) with respect to x	$\int \frac{1}{\sqrt{2 x}} d x$
39270	Find the Maximum/Minimum Value	f(x) = square root of x-5+2	$f (x) = \sqrt{x - 5} + 2$
39271	Evaluate	-9(z+8)=-9z-72	$- 9 (z + 8) = - 9 z - 72$
39272	Convert to Interval Notation	5(3-2x)>=10	$5 (3 - 2 x) \geq 10$
39273	Simplify	(5w^2)/( square root of 30w^9)	$\frac{5 w^{2}}{\sqrt{30 w^{9}}}$
39274	Solve for x	(3x)/(x+2)+2/(x-1)=5/(x^2+x-2)	$\frac{3 x}{x + 2} + \frac{2}{x - 1} = \frac{5}{x^{2} + x - 2}$
39275	Simplify	cube root of 27* cube root of 729	$\sqrt[3]{27} \cdot \sqrt[3]{729}$
39276	Solve for x	x^3+1=x^2+x	$x^{3} + 1 = x^{2} + x$
39277	Graph	x^2=4x	$x^{2} = 4 x$
39278	Write the Fraction in Simplest Form	((3z^-4)^-2)/(2v^-2z^-4)	$\frac{{(3 z^{- 4})}^{- 2}}{2 v^{- 2} z^{- 4}}$
39279	Solve for a in Degrees	tan(a)=73.7/39.4	$\tan (a) = \frac{73.7}{39.4}$
39280	Simplify	( cube root of 7^2)/( square root of 7)	$\frac{\sqrt[3]{7^{2}}}{\sqrt{7}}$
39281	Find the GCF	16 and 40	$16$ and $40$
39282	Find the Inverse	f^-1(x) = square root of x-2	$f^{- 1} (x) = \sqrt{x - 2}$
39283	Solve the System of Inequalities	y<-1/2x+1 y<=x-2	$y < - \frac{1}{2} x + 1$ $y \leq x - 2$
39284	Subtract	(6x-7)/4-(-7x-9)/4	$\frac{6 x - 7}{4} - \frac{- 7 x - 9}{4}$
39285	Rationalize the Denominator	(2x)/( square root of 8x^2)	$\frac{2 x}{\sqrt{8 x^{2}}}$
39286	Evaluate	(5^2y^-10)/(5^-1z^0x^-5)	$\frac{5^{2} y^{- 10}}{5^{- 1} z^{0} x^{- 5}}$
39287	Evaluate	(x-5)^2=81	${(x - 5)}^{2} = 81$
39288	Graph	y=a^(-x)	$y = a^{- x}$
39289	Solve for x	x^2-1=(x-1)(x+1)	$x^{2} - 1 = (x - 1) (x + 1)$
39290	Evaluate	-2(-2^3)-3(-2^2)+4	$- 2 \cdot (- 2^{3}) - 3 \cdot (- 2^{2}) + 4$
39291	Evaluate the Integral	integral from pi/4 to pi/2 of (1-cos(2t))sin(2t) with respect to t	$\int_{\frac{π}{4}}^{\frac{π}{2}} (1 - \cos (2 t)) \sin (2 t) d t$
39292	Solve for x	3xe^x+x^2e^x=0	$3 x e^{x} + x^{2} e^{x} = 0$
39293	Simplify	2/30+1/7	$\frac{2}{30} + \frac{1}{7}$
39294	Solve the Inequality for x	6x^2-11x-1<-6x+3	$6 x^{2} - 11 x - 1 < - 6 x + 3$
39295	Simplify	square root of (cot(x)^2+1)/(tan(x)^2+1)	$\sqrt{\frac{\cot^{2} (x) + 1}{\tan^{2} (x) + 1}}$
39296	Solve the System of Inequalities	2x+4<16 and -2x+8<=14	$2 x + 4 < 16$ and $- 2 x + 8 \leq 14$
39297	Simplify	(x+1)^2-x^2	${(x + 1)}^{2} - x^{2}$
39298	Solve for x	x+2=4 square root of x-2	$x + 2 = 4 \sqrt{x - 2}$
39299	Evaluate the Limit	limit as x approaches 0 of xtan(x+pi/2)	$lim_{x \to 0} x \tan (x + \frac{π}{2})$
39300	Find the Roots (Zeros)	x^4-2x^2	$x^{4} - 2 x^{2}$