Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19101	Simplify	(2x-3)+(5x+3)+(7x-1)	$(2 x - 3) + (5 x + 3) + (7 x - 1)$
19102	Simplify	(1/n-3)/(3n-1)	$\frac{\frac{1}{n} - 3}{3 n - 1}$
19103	Evaluate the Limit	limit as x approaches 1/(()/())*2 of 2e^(x^4+2/9)	$lim_{x \to \frac{1}{\frac{}{}} \cdot 2} 2 e^{x^{4} + \frac{2}{9}}$
19104	Solve for X	2(X-3)-3(X-2)=X+2-(X-3)	$2 (X - 3) - 3 (X - 2) = X + 2 - (X - 3)$
19105	Simplify the Radical Expression	2 square root of 5* square root of 7	$2 \sqrt{5} \cdot \sqrt{7}$
19106	Find the Exact Value	sin(arctan(2x))	$\sin (\arctan (2 x))$
19107	Multiply	(25x^2)/(17y^4)*(34y^5)/(15x^3)	$\frac{25 x^{2}}{17 y^{4}} \cdot \frac{34 y^{5}}{15 x^{3}}$
19108	Simplify	((x^5)/(x^7))^2	${(\frac{x^{5}}{x^{7}})}^{2}$
19109	Solve for k	-5k=12	$- 5 k = 12$
19110	Solve for T	PV=nrT for T	$P V = n r T$ for $T$
19111	Convert to Logarithmic Form	7^(x-1)=e	$7^{x - 1} = e$
19112	Solve the Function Operation	g(x)=-3x+1 ; find g(2)	$g (x) = - 3 x + 1$ ; find $g (2)$
19113	Multiply	-3i*(8i+5)	$- 3 i \cdot (8 i + 5)$
19114	Evaluate Using Scientific Notation	6.2810^13+8.3010^11	$6.28 \cdot 10^{13} + 8.3 \cdot 10^{11}$
19115	Solve the Rational Equation for x	2x^(2/3)=8	$2 x^{\frac{2}{3}} = 8$
19116	Simplify	(5 square root of 4)(4 square root of 8)	$(5 \sqrt{4}) (4 \sqrt{8})$
19117	Find the GCF	Find the GCF of 45x and 20	Find the GCF of $45 x$ and $20$
19118	Evaluate	square root of 3^3*6^3	$\sqrt{3^{3} \cdot 6^{3}}$
19119	Simplify	((-4)^33^712)/(6^6*2^5)	$\frac{{(- 4)}^{3} \cdot 3^{7} \cdot 12}{6^{6} \cdot 2^{5}}$
19120	Solve for x	tan(x)=2sin(x)	$\tan (x) = 2 \sin (x)$
19121	Simplify	-2x(x+1)+4x^2(x+3)-x^2-(x-3)	$- 2 x (x + 1) + 4 x^{2} (x + 3) - x^{2} - (x - 3)$
19122	Solve the Function Operation	If f(x)=28x^6 and g(x)=4x^2 , x!=0 ; find (f/g)(x)	If $f (x) = 28 x^{6}$ and $g (x) = 4 x^{2}$ , $x \neq 0$ ; find $(\frac{f}{g}) (x)$
19123	Find the Domain	( square root of 3)/4x^2	$\frac{\sqrt{3}}{4} x^{2}$
19124	Integrate Using u-Substitution	integral of x^3(2+x^4)^5 with respect to x	$\int x^{3} {(2 + x^{4})}^{5} d x$
19125	Convert to Trigonometric Form	(tan(t))/(sec(t)-cos(t))	$\frac{\tan (t)}{\sec (t) - \cos (t)}$
19126	Graph	6\|x+1\|>=18	$6 \| x + 1 \| \geq 18$
19127	Graph	f(x)(x^2+3x-1)/(x+1)	$f (x) \frac{x^{2} + 3 x - 1}{x + 1}$
19128	Solve the Function Operation	2ab+4ac-5c ; con , -6c+7ab	$2 a b + 4 a c - 5 c$ ; con , $- 6 c + 7 a b$
19129	Evaluate the Integral	integral of -2(5x^2+2x)e^(3x) with respect to x	$\int - 2 (5 x^{2} + 2 x) e^{3 x} d x$
19130	Find dy/dx	y=x^2-x^2cos(x)	$y = x^{2} - x^{2} \cos (x)$
19131	Solve for u	u^2-3u=-5/4	$u^{2} - 3 u = - \frac{5}{4}$
19132	Determine if Dependent, Independent, or Inconsistent	y=x-5 -2x+2y=-10	$y = x - 5$ $- 2 x + 2 y = - 10$
19133	Integrate Using u-Substitution	integral of square root of 1-x^2 with respect to x	$\int \sqrt{1 - x^{2}} d x$
19134	Find dy/dx	5x^2+y^3-3y+3y^2=0	$5 x^{2} + y^{3} - 3 y + 3 y^{2} = 0$
19135	Evaluate	(2x^3y^2z^2)^3(x^2z)^4	${(2 x^{3} y^{2} z^{2})}^{3} {(x^{2} z)}^{4}$
19136	Evaluate Using the Given Value	Evaluate 8j-k+14 when j=0.25 and k=1	Evaluate $8 j - k + 14$ when $j = 0.25$ and $k = 1$
19137	Simplify	(-27/8)^(-2/3)	${(- \frac{27}{8})}^{\frac{- 2}{3}}$
19138	Simplify	(15a^2y^-3)^4(5ay^-2)^-5	${(15 a^{2} y^{- 3})}^{4} {(5 a y^{- 2})}^{- 5}$
19139	Find the Holes in the Graph	y=((x-2)(2x+3))/((5x+4)(x-3))	$y = \frac{(x - 2) (2 x + 3)}{(5 x + 4) (x - 3)}$
19140	Simplify	(x+1)(3x-2)(x-3)(2x-1)	$(x + 1) (3 x - 2) (x - 3) (2 x - 1)$
19141	Simplify	(7+5i)-(-2+(-3i))	$(7 + 5 i) - (- 2 + (- 3 i))$
19142	Find the Derivative - d/dt	(6t^2-6)/(2t-4)	$\frac{6 t^{2} - 6}{2 t - 4}$
19143	Solve for x in Radians	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
19144	Simplify	sin(a)(cot(a)+(sin(a))/(1+cos(a)))	$\sin (a) (\cot (a) + \frac{\sin (a)}{1 + \cos (a)})$
19145	Solve the Inequality for X	-2(3X+2)>=-6X-4	$- 2 (3 X + 2) \geq - 6 X - 4$
19146	Find the Exact Value	log base 2 of 6- log base 2 of 15+ log base 2 of 20	$\log_{2} (6) - \log_{2} (15) + \log_{2} (20)$
19147	Convert to a Decimal	tan(180)deg	$\tan (180)$ degrees
19148	Integrate Using u-Substitution	integral of x^2 square root of x+1 with respect to x	$\int x^{2} \sqrt{x + 1} d x$
19149	Write in Standard Form	(5x^3-x+2x^2+4)+(3x^2+1-4x)	$(5 x^{3} - x + 2 x^{2} + 4) + (3 x^{2} + 1 - 4 x)$
19150	Evaluate	60 degrees *pi/180	$60 ° \cdot \frac{π}{180}$
19151	Solve for x	log base square root of 2 of x+ log base square root of 2 of x+1=2	$\log_{\sqrt{2}} (x) + \log_{\sqrt{2}} (x + 1) = 2$
19152	Find the Antiderivative	2/( square root of 4x+3)-4/(x^5)	$\frac{2}{\sqrt{4 x + 3}} - \frac{4}{x^{5}}$
19153	Simplify	-2x^2 square root of 3x^3y^2z^5	$- 2 x^{2} \sqrt{3 x^{3} y^{2} z^{5}}$
19154	Solve for y	5-3(x+1)=2y-3x+2	$5 - 3 (x + 1) = 2 y - 3 x + 2$
19155	Solve for x	1/2x-3/5=3/5x-5	$\frac{1}{2} x - \frac{3}{5} = \frac{3}{5} x - 5$
19156	Solve for x	\|3x-9\|-\|3-x\|=10	$\| 3 x - 9 \| - \| 3 - x \| = 10$
19157	Simplify	square root of (x+1)(x+2)(x+3)(x+4)+1	$\sqrt{(x + 1) (x + 2) (x + 3) (x + 4) + 1}$
19158	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+6x^2+15x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 6 x^{2} + 15 x + 7$ is divided by $2 x + 1$
19159	Multiply	(5x+10)/(4x-8)*(4-2x)/(x+2)	$\frac{5 x + 10}{4 x - 8} \cdot \frac{4 - 2 x}{x + 2}$
19160	Simplify	(3^-2)/(3^-3*3^0)	$\frac{3^{- 2}}{3^{- 3} \cdot 3^{0}}$
19161	Determine if Odd, Even, or Neither	f(x)=x^2 square root of 1-x^2	$f (x) = x^{2} \sqrt{1 - x^{2}}$
19162	Find the Derivative - d/dx	2x natural log of 5x^2	$2 x \ln (5 x^{2})$
19163	Simplify	Simplify (12a^2b^8)/(24a^4b^2)	Simplify $\frac{12 a^{2} b^{8}}{24 a^{4} b^{2}}$
19164	Find All Complex Solutions	3sin(x)^2-sin(x)-1=0	$3 \sin^{2} (x) - \sin (x) - 1 = 0$
19165	Solve for r	3*8^(r-9)=52	$3 \cdot 8^{r - 9} = 52$
19166	Solve for x	8(-2+x)-3x=6x+13	$8 (- 2 + x) - 3 x = 6 x + 13$
19167	Solve for x	9^(2x+1)=3^(3^x)	$9^{2 x + 1} = 3^{3^{x}}$
19168	Integrate By Parts	integral of 1/(x^2) with respect to x	$\int \frac{1}{x^{2}} d x$
19169	Evaluate the Integral	integral of ( square root of x^3)/2 with respect to x	$\int \frac{\sqrt{x^{3}}}{2} d x$
19170	Simplify	((3ab)^3*(-2ab^4))/(6ab^2)	$\frac{{(3 a b)}^{3} \cdot (- 2 a b^{4})}{6 a b^{2}}$
19171	Simplify	(x^2)/(x^2-2x)	$\frac{x^{2}}{x^{2} - 2 x}$
19172	Find Amplitude, Period, and Phase Shift	y=sin(x/2+pi/3)	$y = \sin (\frac{x}{2} + \frac{π}{3})$
19173	Find the LCM	7 and 14	$7$ and $14$
19174	Evaluate	1/( square root of 2)*1/( square root of 2)	$\frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{2}}$
19175	Divide	((x^2-x-12)/(3x+9))÷((x^2+x-20)/(x+5))	$\frac{x^{2} - x - 12}{3 x + 9} \div \frac{x^{2} + x - 20}{x + 5}$
19176	Simplify	-3 cube root of 162k^4+7k cube root of 48k	$- 3 \sqrt[3]{162 k^{4}} + 7 k \sqrt[3]{48 k}$
19177	Convert to Radical Form	2(12)^(3/2)	$2 {(12)}^{\frac{3}{2}}$
19178	Simplify	5+2x^3-6x-4x^2	$5 + 2 x^{3} - 6 x - 4 x^{2}$
19179	Rationalize the Denominator	5/(3 square root of 5+ square root of 2)	$\frac{5}{3 \sqrt{5} + \sqrt{2}}$
19180	Find the Domain	h(x)=( square root of x^2-81)/((x+12)(x-4))	$h (x) = \frac{\sqrt{x^{2} - 81}}{(x + 12) (x - 4)}$
19181	Evaluate	(1+-1)-(-1-3)	$(1 + - 1) - (- 1 - 3)$
19182	Solve the System of Equations	0.6x-y=1.03 3-0.3x=0.1y	$0.6 x - y = 1.03$ $3 - 0.3 x = 0.1 y$
19183	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-3x^3+x^2-x+3	$h (x) = - 3 x^{3} + x^{2} - x + 3$
19184	Evaluate the Integral	integral of 6x(x^2+1)^(3/2) with respect to x	$\int 6 x {(x^{2} + 1)}^{\frac{3}{2}} d x$
19185	Find the Tangent Line at x=1	f(x)=5x-2x^3-2 is concave down at x=1	$f (x) = 5 x - 2 x^{3} - 2$ is concave down at $x = 1$
19186	Expand Using Sum/Difference Formulas	tan(u-pi/4)	$\tan (u - \frac{π}{4})$
19187	Find the Inflection Points	f(x)=-3/20x^5+8x^3	$f (x) = - \frac{3}{20} x^{5} + 8 x^{3}$
19188	Solve for r	20r=-5(13r-17)	$20 r = - 5 (13 r - 17)$
19189	Solve the Inequality for c	\|2c-1\|<=7	$\| 2 c - 1 \| \leq 7$
19190	Evaluate the Integral	integral of (3/(x^4)) with respect to x	$\int (\frac{3}{x^{4}}) d x$
19191	Simplify	(6 square root of 8-6 square root of 2)(2 square root of 2+1)	$(6 \sqrt{8} - 6 \sqrt{2}) (2 \sqrt{2} + 1)$
19192	Solve by Factoring	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
19193	Simplify the Matrix	p(x):\|1+2x\|=7 q(x):\|x-3\|=1-x	$p (x) : \| 1 + 2 x \| = 7$ $q (x) : \| x - 3 \| = 1 - x$
19194	Find the Excluded Values	3/(x+2)-5/x=1	$\frac{3}{x + 2} - \frac{5}{x} = 1$
19195	Solve for y	-10y^3-5=5	$- 10 y^{3} - 5 = 5$
19196	Solve for x	7.2/x=0.25/1 1/9	$\frac{7.2}{x} = \frac{0.25}{1 \frac{1}{9}}$
19197	Evaluate	(a+b)(a^2-ab+b^2)	$(a + b) (a^{2} - a b + b^{2})$
19198	Factor	x^4-2x^3-24x^2-4x^2+8x+96	$x^{4} - 2 x^{3} - 24 x^{2} - 4 x^{2} + 8 x + 96$
19199	Evaluate	1/3(-1)^3	$\frac{1}{3} {(- 1)}^{3}$
19200	Solve by Factoring	(x-4)^2-(x-4)-20=0	${(x - 4)}^{2} - (x - 4) - 20 = 0$