Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38101	Simplify	(4x^2y)/(2xz^2)*(6xz^3)/(20y^4)	$\frac{4 x^{2} y}{2 x z^{2}} \cdot \frac{6 x z^{3}}{20 y^{4}}$
38102	Evaluate	(4x+4(3+a)^2)/(y-1)	$\frac{4 x + 4 {(3 + a)}^{2}}{y - 1}$
38103	Find the Cotangent Given the Point	( square root of 2, square root of 2)	$(\sqrt{2}, \sqrt{2})$
38104	Solve for y	x=y(y-1)	$x = y (y - 1)$
38105	Divide	Divide: (x^3+x^2-10x+8)÷(x-2)	Divide: $(x^{3} + x^{2} - 10 x + 8) \div (x - 2)$
38106	Solve for a	4-7a=3-a+13	$4 - 7 a = 3 - a + 13$
38107	Find the Domain and Range	y=arccos(x-2)	$y = \arccos (x - 2)$
38108	Simplify	(9r^3-54r^2)/(9r^2+45r)*(9r^2+9r)/(9r^3-54r^2)	$\frac{9 r^{3} - 54 r^{2}}{9 r^{2} + 45 r} \cdot \frac{9 r^{2} + 9 r}{9 r^{3} - 54 r^{2}}$
38109	Find the Derivative - d/dx	x^2* square root of x	$x^{2} \cdot \sqrt{x}$
38110	Simplify	3t(tn-5)	$3 t (t n - 5)$
38111	Solve for x	4(x-2)^-2=16	$4 {(x - 2)}^{- 2} = 16$
38112	Find the Derivative - d/dx	( square root of x^2+1)/x	$\frac{\sqrt{x^{2} + 1}}{x}$
38113	Evaluate the Limit	limit as x approaches 0 of (x^3-2x^2+x)/(2x^3+x^2-2x)	$lim_{x \to 0} \frac{x^{3} - 2 x^{2} + x}{2 x^{3} + x^{2} - 2 x}$
38114	Find the Derivative - d/dx	square root of xe^x	$\sqrt{x e^{x}}$
38115	Convert to a Decimal	sin(11)deg	$\sin (11)$ degrees
38116	Solve the System of Equations	t=-2 x=t^2-2 y=-t+2	$t = - 2$ $x = t^{2} - 2$ $y = - t + 2$
38117	Solve for y	5x-7y=35 ; for y	$5 x - 7 y = 35$ ; for $y$
38118	Find the Inverse	((x+3)^(1/3))/8	$\frac{{(x + 3)}^{\frac{1}{3}}}{8}$
38119	Simplify	(3-i)/(2-2i)	$\frac{3 - i}{2 - 2 i}$
38120	Simplify	((x^2+10x+16)/(x^2-6x-16))÷((x+8)/(x^2-64))	$\frac{x^{2} + 10 x + 16}{x^{2} - 6 x - 16} \div \frac{x + 8}{x^{2} - 64}$
38121	Solve for x	1/x+1/(x^2)=3/4	$\frac{1}{x} + \frac{1}{x^{2}} = \frac{3}{4}$
38122	Solve for n	(n+4)/(n-6)=7s	$\frac{n + 4}{n - 6} = 7 s$
38123	Simplify	(a-b)*z+3(b-a)^2	$(a - b) \cdot z + 3 {(b - a)}^{2}$
38124	Simplify	(4x^2-4x)/(2x^2+4x-6)*(x^2+x-6)/(4x^2+8x)	$\frac{4 x^{2} - 4 x}{2 x^{2} + 4 x - 6} \cdot \frac{x^{2} + x - 6}{4 x^{2} + 8 x}$
38125	Find Amplitude, Period, and Phase Shift	y=sin(3x+2pi)	$y = \sin (3 x + 2 π)$
38126	Solve the Rational Equation for x	(3x+1)/(x-2)+4/x=-8/(x^2-2x)	$\frac{3 x + 1}{x - 2} + \frac{4}{x} = \frac{- 8}{x^{2} - 2 x}$
38127	Find the Roots (Zeros)	f(X)=2x^3-24x^2+44x-40	$f (X) = 2 x^{3} - 24 x^{2} + 44 x - 40$
38128	Find the Slope	(4,6) and (4,8)	$(4, 6)$ and $(4, 8)$
38129	Simplify	((2c^2-5c-3)/(c^2+4c-21))÷(2c+1)	$\frac{2 c^{2} - 5 c - 3}{c^{2} + 4 c - 21} \div (2 c + 1)$
38130	Solve for n	(4,2) , (n,6) , m=4/3	$(4, 2)$ , $(n, 6)$ , $m = \frac{4}{3}$
38131	Write in y=mx+b Form	2y+x-4=0	$2 y + x - 4 = 0$
38132	Evaluate	tan(theta)+cot(theta)=csc(theta)sec(theta)	$\tan (θ) + \cot (θ) = \csc (θ) \sec (θ)$
38133	Graph	y=4x+3 and y=-x-2	$y = 4 x + 3$ and $y = - x - 2$
38134	Solve for x	4tan(x)-7=3tan(x)-6	$4 \tan (x) - 7 = 3 \tan (x) - 6$
38135	Graph	y=x^2 , y=4	$y = x^{2}$ , $y = 4$
38136	Find the Cosine of the Angle	135 degrees	$135 °$
38137	Simplify	(12a^8b^2c)/(3ab^5c)	$\frac{12 a^{8} b^{2} c}{3 a b^{5} c}$
38138	Simplify	a^4(b^4a^6)	$a^{4} (b^{4} a^{6})$
38139	Find the Derivative - d/dx	(-cos(x-1))	$(- \cos (x - 1))$
38140	Evaluate	3/2(4^3-2^2*3^2)	$\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})$
38141	Solve the Inequality for x	2x+2=8	$2 x + 2 = 8$
38142	Simplify	(a)(a)(a)	$(a) (a) (a)$
38143	Convert to Interval Notation	(x+5)/18+(x-7)/10<2/3	$\frac{x + 5}{18} + \frac{x - 7}{10} < \frac{2}{3}$
38144	Expand Using the Binomial Theorem	(xy-2y^-2)^21	${(x y - 2 y^{- 2})}^{21}$
38145	Find the Exact Value	-1(-( square root of 2)/2)	$- 1 (- \frac{\sqrt{2}}{2})$
38146	Simplify	(6x^7y^15)/(12x^3y^5)*8x^4y	$\frac{6 x^{7} y^{15}}{12 x^{3} y^{5}} \cdot 8 x^{4} y$
38147	Solve the System of Equations	-4x-2y-z=3 2x-3y+4z=-14 3x+y=-5	$- 4 x - 2 y - z = 3$ $2 x - 3 y + 4 z = - 14$ $3 x + y = - 5$
38148	Find the Product	(r/s)(3)	$(\frac{r}{s}) (3)$
38149	Evaluate	(x^6*x^8)/x	$\frac{x^{6} \cdot x^{8}}{x}$
38150	Simplify	square root of fifth root of w^6	$\sqrt{\sqrt[5]{w^{6}}}$
38151	Convert to a Decimal	cos(14)deg	$\cos (14)$ degrees
38152	Solve for x	4^(5x+2)=0.8*5^(5x+2)	$4^{5 x + 2} = 0.8 \cdot 5^{5 x + 2}$
38153	Write with Rational (Fractional) Exponents	square root of 3* fifth root of 3^2	$\sqrt{3} \cdot \sqrt[5]{3^{2}}$
38154	Evaluate	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
38155	Expand the Logarithmic Expression	natural log of (5p^3q^4)^2	$\ln ({(5 p^{3} q^{4})}^{2})$
38156	Write in Standard Form	(8n-3n^4+10n^2)-(3n^2+11n^4-7)	$(8 n - 3 n^{4} + 10 n^{2}) - (3 n^{2} + 11 n^{4} - 7)$
38157	Solve for x	log base 5 of x/5-3 = log base 5 of 7x-2	$\log_{5} (\frac{x}{5} - 3) = \log_{5} (7 x - 2)$
38158	Solve for m	-7+7m=1+6m	$- 7 + 7 m = 1 + 6 m$
38159	Simplify	rs^2 fifth root of 32r^4s^10	$r s^{2} \sqrt[5]{32 r^{4} s^{10}}$
38160	Evaluate	sin(arcsin((- square root of 2)/2))	$\sin (\arcsin (\frac{- \sqrt{2}}{2}))$
38161	Evaluate the Integral	integral of (4x)/(5(6x^2-7)^(2/3)) with respect to x	$\int \frac{4 x}{5 {(6 x^{2} - 7)}^{\frac{2}{3}}} d x$
38162	Simplify	Simplify (n-1-(n-1-(n-1)))	Simplify $(n - 1 - (n - 1 - (n - 1)))$
38163	Evaluate the Integral	integral from 1 to 8 of cube root of x-1/x with respect to x	$\int_{1}^{8} \sqrt[3]{x} - \frac{1}{x} d x$
38164	Simplify	(2x^4+5x^2-11)+(-6x^4-7x^2+1)	$(2 x^{4} + 5 x^{2} - 11) + (- 6 x^{4} - 7 x^{2} + 1)$
38165	Solve for y	y/3=(y+8)/(y+5)	$\frac{y}{3} = \frac{y + 8}{y + 5}$
38166	Simplify	square root of (3(400))/2- square root of (3(256))/2	$\sqrt{\frac{3 (400)}{2}} - \sqrt{\frac{3 (256)}{2}}$
38167	Divide Using Long Polynomial Division	(6x^4-20x^3+15x^2-8)÷(-x^2+2x-1)	$(6 x^{4} - 20 x^{3} + 15 x^{2} - 8) \div (- x^{2} + 2 x - 1)$
38168	Subtract	(8x)/5-x/8	$\frac{8 x}{5} - \frac{x}{8}$
38169	Find the End Behavior	g(x)=5-7/2x-3x^2	$g (x) = 5 - \frac{7}{2} x - 3 x^{2}$
38170	Solve for r	r-10>-7	$r - 10 > - 7$
38171	Solve for n	3^(2n)=1/27	$3^{2 n} = \frac{1}{27}$
38172	Simplify	3x+2y-y+2y+x^2-2x^2-6x	$3 x + 2 y - y + 2 y + x^{2} - 2 x^{2} - 6 x$
38173	Simplify	(x^3-6x^2+3)+(3x^3+4x-1)	$(x^{3} - 6 x^{2} + 3) + (3 x^{3} + 4 x - 1)$
38174	Evaluate the Limit	limit as x approaches -1 of ((2x+3)^2-1)/(x^2+x)	$lim_{x \to - 1} \frac{{(2 x + 3)}^{2} - 1}{x^{2} + x}$
38175	Solve the Inequality for x	2x^2+6>13x	$2 x^{2} + 6 > 13 x$
38176	Write in Standard Form	(-7x^2+3)-(-4x-3)	$(- 7 x^{2} + 3) - (- 4 x - 3)$
38177	Evaluate	(2xy^2)/(x^5y^3)*(5xy^3)/(-30y^-2)	$\frac{2 x y^{2}}{x^{5} y^{3}} \cdot \frac{5 x y^{3}}{- 30 y^{- 2}}$
38178	Simplify	cos(x)^2+cos(x)^2+tan(x)^2	$\cos^{2} (x) + \cos^{2} (x) + \tan^{2} (x)$
38179	Find the Domain	k(x)=1/((x+5)(x-2)(x-7))	$k (x) = \frac{1}{(x + 5) (x - 2) (x - 7)}$
38180	Simplify the Radical Expression	cube root of 3* fifth root of 3^6	$\sqrt[3]{3} \cdot \sqrt[5]{3^{6}}$
38181	Solve the System of Equations	-2x+y=12 and 7x-7y=-49	$- 2 x + y = 12$ and $7 x - 7 y = - 49$
38182	Solve for x	square root of x/7 = square root of 24-x	$\sqrt{\frac{x}{7}} = \sqrt{24 - x}$
38183	Evaluate	3.45(1.9310^4)	$3.45 \times (1.93 \times 10^{4})$
38184	Solve the System of Equations	10x^2-y=48 2y=16x^2+48	$10 x^{2} - y = 48$ $2 y = 16 x^{2} + 48$
38185	Evaluate	( square root of a)/( square root of b)=x	$\frac{\sqrt{a}}{\sqrt{b}} = x$
38186	Solve the Rational Equation for a	a/6-10=a/3	$\frac{a}{6} - 10 = \frac{a}{3}$
38187	Solve for x	0=cos(x)+sin(x)	$0 = \cos (x) + \sin (x)$
38188	Find the Roots (Zeros)	k(x)=1/((x+5)(x-2)(x-7))	$k (x) = \frac{1}{(x + 5) (x - 2) (x - 7)}$
38189	Write as a Single Logarithm	log base xy of 1/x+ log base xy of 1/y	$\log_{x y} (\frac{1}{x}) + \log_{x y} (\frac{1}{y})$
38190	Find the Exact Value	1/51/51/5*1/5	$\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}$
38191	Simplify	cube root of x^2* fourth root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[4]{x}$
38192	Solve for x	log base 4 of 2x+4-3 = log base 4 of 3	$\log_{4} (2 x + 4) - 3 = \log_{4} (3)$
38193	Solve the Inequality for x	cos(x)>=( square root of 2)/2	$\cos (x) \geq \frac{\sqrt{2}}{2}$
38194	Evaluate	((56÷16)÷9*24)÷21	$56 \div 16 \div 9 \cdot 24 \div 21$
38195	Simplify	(1+( square root of 3)/3)/(1-( square root of 3)/3)	$\frac{1 + \frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}}$
38196	Solve for x	5^(x-2)=3*4^(x+1)	$5^{x - 2} = 3 \cdot 4^{x + 1}$
38197	Solve for d	5d^2+15d+5=-6	$5 d^{2} + 15 d + 5 = - 6$
38198	Simplify	square root of 5-9+8 square root of 5+11- square root of 5	$\sqrt{5} - 9 + 8 \sqrt{5} + 11 - \sqrt{5}$
38199	Factor by Grouping	25x^2+16-40x-64y^2	$25 x^{2} + 16 - 40 x - 64 y^{2}$
38200	Simplify	( square root of 125)/( square root of 18* square root of 50)	$\frac{\sqrt{125}}{\sqrt{18} \cdot \sqrt{50}}$