Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230201	Simplify	cube root of 16* cube root of 8	$\sqrt[3]{16} \cdot \sqrt[3]{8}$
230202	Divide	6 , 394÷42	$6$ , $394 \div 42$
230203	Evaluate	2sin(x) = square root of 2	$2 \sin (x) = \sqrt{2}$
230204	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,1) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(8, 1)$ and has a slope of $- \frac{3}{4}$ ?
230205	Divide	( cube root of 4x^2)/( cube root of x)	$\frac{\sqrt[3]{4 x^{2}}}{\sqrt[3]{x}}$
230206	Divide	(2x^3+11x^2-20)÷(x^2+x-2)	$(2 x^{3} + 11 x^{2} - 20) \div (x^{2} + x - 2)$
230207	Simplify	7(5)^(5/3)+49(5)^(2/3)	$7 {(5)}^{\frac{5}{3}} + 49 {(5)}^{\frac{2}{3}}$
230208	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+7x^2+5x+1 is divided by 2x+1	Use the long division method to find the result when $2 x^{3} + 7 x^{2} + 5 x + 1$ is divided by $2 x + 1$
230209	Find the GCF	y^6+y^4+y^2	$y^{6} + y^{4} + y^{2}$
230210	Write as a Single Logarithm	3/4( natural log of a+ natural log of b)	$\frac{3}{4} (\ln (a) + \ln (b))$
230211	Multiply	(1+i)(1+i)	$(1 + i) (1 + i)$
230212	Simplify the Radical Expression	(16x^8yz^12)^(1/4)	${(16 x^{8} y z^{12})}^{\frac{1}{4}}$
230213	Describe the Transformation	f(x) = cube root of x , g(x)=- cube root of x-1	$f (x) = \sqrt[3]{x}$ , $g (x) = - \sqrt[3]{x} - 1$
230214	Solve for x	5( square root of x-2+1)=15	$5 (\sqrt{x - 2} + 1) = 15$
230215	Evaluate	( square root of a square root of b)/( seventh root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[7]{a b}}$
230216	Write in Standard Form	-2/3p+1/5-1+5/6p	$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$
230217	Simplify	2((x+12+5+5)+(x+5+5))	$2 ((x + 12 + 5 + 5) + (x + 5 + 5))$
230218	Solve the Absolute Value Inequality for x	\|2x+3\|+4<5	$\| 2 x + 3 \| + 4 < 5$
230219	Rationalize the Denominator	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
230220	Simplify	7c^3*d^-2	$7 c^{3} \cdot d^{- 2}$
230221	Multiply	(1-1/2)(1-1/3)(1-1/4)*(1-1/5)	$(1 - \frac{1}{2}) \cdot (1 - \frac{1}{3}) \cdot (1 - \frac{1}{4}) \cdot (1 - \frac{1}{5})$
230222	Multiply	2 square root of 8b^3*9 square root of 18b	$2 \sqrt{8 b^{3}} \cdot 9 \sqrt{18 b}$
230223	Find the Degree, Leading Term, and Leading Coefficient	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
230224	Solve for n	(n^2-1)/(3n^2)=0.3325	$\frac{n^{2} - 1}{3 n^{2}} = 0.3325$
230225	Simplify	(2+3)^2+8/2	${(2 + 3)}^{2} + \frac{8}{2}$
230226	Simplify	(6x)/(x-3)+4/((x-3)^2)	$\frac{6 x}{x - 3} + \frac{4}{{(x - 3)}^{2}}$
230227	Evaluate	1/(e^0)	$\frac{1}{e^{0}}$
230228	Graph	y=-x/3-3/2	$y = - \frac{x}{3} - \frac{3}{2}$
230229	Evaluate the Function	g(-x)=-x^2	$g (- x) = - x^{2}$
230230	Simplify	(-(3a^3b^4)/2)^2	${(- \frac{3 a^{3} b^{4}}{2})}^{2}$
230231	Evaluate	( square root of -0.01+1-1)/-0.01	$\frac{\sqrt{- 0.01 + 1} - 1}{- 0.01}$
230232	Evaluate Using the Given Value	20x if x=1/2	$20 x$ if $x = \frac{1}{2}$
230233	Simplify the Radical Expression	(8^3)^(1/3)	${(8^{3})}^{\frac{1}{3}}$
230234	Simplify	(1/3)^6(-12(1/3)^9)(1/3)^4	${(\frac{1}{3})}^{6} (- 12 {(\frac{1}{3})}^{9}) {(\frac{1}{3})}^{4}$
230235	Multiply	(4x^3+x)(2x^2-1)(6x-3)	$(4 x^{3} + x) (2 x^{2} - 1) (6 x - 3)$
230236	Graph	2y^2	$2 y^{2}$
230237	Evaluate	(4-2x)(4+2x)	$(4 - 2 x) (4 + 2 x)$
230238	Evaluate	(x^-8)/(x^4y^4y^-3)	$\frac{x^{- 8}}{x^{4} y^{4} y^{- 3}}$
230239	Solve the System of Equations	x=-4 y=1/2x+7	$x = - 4$ $y = \frac{1}{2} x + 7$
230240	Solve the Inequality for x	-2 square root of x+1<=-4	$- 2 \sqrt{x + 1} \leq - 4$
230241	Evaluate	1e+6	$1 e + 6$
230242	Solve the Inequality for x	6x-(2x+3)>4x-5	$6 x - (2 x + 3) > 4 x - 5$
230243	Simplify	square root of 6ay* square root of 18a*1/y	$\sqrt{6 a y} \cdot \sqrt{18 a} \cdot \frac{1}{y}$
230244	Factor	ab+2b+b^2	$a b + 2 b + b^{2}$
230245	Evaluate	2 3/7-5 6/7	$2 \frac{3}{7} - 5 \frac{6}{7}$
230246	Simplify	((2d)^0)÷((d^2e^-4)^-1)	${(2 d)}^{0} \div {(d^{2} e^{- 4})}^{- 1}$
230247	Solve the Inequality for m	6-2\|m-3\|>-4	$6 - 2 \| m - 3 \| > - 4$
230248	Simplify the Radical Expression	- cube root of 125	$- \sqrt[3]{125}$
230249	Write in Exponential Form	square root of square root of 4	$\sqrt{\sqrt{4}}$
230250	Evaluate	((-3/4)^5)^2	${({(- \frac{3}{4})}^{5})}^{2}$
230251	Simplify	1/(x^3)-x/3	$\frac{1}{x^{3}} - \frac{x}{3}$
230252	Simplify	4x^3 square root of 64x^5	$4 x^{3} \sqrt{64 x^{5}}$
230253	Find the Domain and Range	y=-3(1/2)^(x-4)+1	$y = - 3 {(\frac{1}{2})}^{x - 4} + 1$
230254	Simplify	(4x^2y)/(2xz^2)*(6xz^3)/(20y^4)	$\frac{4 x^{2} y}{2 x z^{2}} \cdot \frac{6 x z^{3}}{20 y^{4}}$
230255	Evaluate	(4x+4(3+a)^2)/(y-1)	$\frac{4 x + 4 {(3 + a)}^{2}}{y - 1}$
230256	Solve for y	x=y(y-1)	$x = y (y - 1)$
230257	Divide	Divide: (x^3+x^2-10x+8)÷(x-2)	Divide: $(x^{3} + x^{2} - 10 x + 8) \div (x - 2)$
230258	Solve for a	4-7a=3-a+13	$4 - 7 a = 3 - a + 13$
230259	Find the Domain and Range	y=arccos(x-2)	$y = \arccos (x - 2)$
230260	Simplify	(9r^3-54r^2)/(9r^2+45r)*(9r^2+9r)/(9r^3-54r^2)	$\frac{9 r^{3} - 54 r^{2}}{9 r^{2} + 45 r} \cdot \frac{9 r^{2} + 9 r}{9 r^{3} - 54 r^{2}}$
230261	Simplify	3t(tn-5)	$3 t (t n - 5)$
230262	Solve for x	4(x-2)^-2=16	$4 {(x - 2)}^{- 2} = 16$
230263	Convert to a Decimal	sin(11)deg	$\sin (11)$ degrees
230264	Solve the System of Equations	t=-2 x=t^2-2 y=-t+2	$t = - 2$ $x = t^{2} - 2$ $y = - t + 2$
230265	Solve for y	5x-7y=35 ; for y	$5 x - 7 y = 35$ ; for $y$
230266	Find the Inverse	((x+3)^(1/3))/8	$\frac{{(x + 3)}^{\frac{1}{3}}}{8}$
230267	Simplify	(3-i)/(2-2i)	$\frac{3 - i}{2 - 2 i}$
230268	Simplify	((x^2+10x+16)/(x^2-6x-16))÷((x+8)/(x^2-64))	$\frac{x^{2} + 10 x + 16}{x^{2} - 6 x - 16} \div \frac{x + 8}{x^{2} - 64}$
230269	Solve for x	1/x+1/(x^2)=3/4	$\frac{1}{x} + \frac{1}{x^{2}} = \frac{3}{4}$
230270	Solve for n	(n+4)/(n-6)=7s	$\frac{n + 4}{n - 6} = 7 s$
230271	Simplify	(a-b)*z+3(b-a)^2	$(a - b) \cdot z + 3 {(b - a)}^{2}$
230272	Simplify	(4x^2-4x)/(2x^2+4x-6)*(x^2+x-6)/(4x^2+8x)	$\frac{4 x^{2} - 4 x}{2 x^{2} + 4 x - 6} \cdot \frac{x^{2} + x - 6}{4 x^{2} + 8 x}$
230273	Solve the Rational Equation for x	(3x+1)/(x-2)+4/x=-8/(x^2-2x)	$\frac{3 x + 1}{x - 2} + \frac{4}{x} = \frac{- 8}{x^{2} - 2 x}$
230274	Find the Roots (Zeros)	f(X)=2x^3-24x^2+44x-40	$f (X) = 2 x^{3} - 24 x^{2} + 44 x - 40$
230275	Simplify	((2c^2-5c-3)/(c^2+4c-21))÷(2c+1)	$\frac{2 c^{2} - 5 c - 3}{c^{2} + 4 c - 21} \div (2 c + 1)$
230276	Solve for n	(4,2) , (n,6) , m=4/3	$(4, 2)$ , $(n, 6)$ , $m = \frac{4}{3}$
230277	Write in y=mx+b Form	2y+x-4=0	$2 y + x - 4 = 0$
230278	Evaluate	tan(theta)+cot(theta)=csc(theta)sec(theta)	$\tan (θ) + \cot (θ) = \csc (θ) \sec (θ)$
230279	Graph	y=4x+3 and y=-x-2	$y = 4 x + 3$ and $y = - x - 2$
230280	Solve for x	4tan(x)-7=3tan(x)-6	$4 \tan (x) - 7 = 3 \tan (x) - 6$
230281	Graph	y=x^2 , y=4	$y = x^{2}$ , $y = 4$
230282	Simplify	(12a^8b^2c)/(3ab^5c)	$\frac{12 a^{8} b^{2} c}{3 a b^{5} c}$
230283	Simplify	a^4(b^4a^6)	$a^{4} (b^{4} a^{6})$
230284	Evaluate	3/2(4^3-2^2*3^2)	$\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})$
230285	Solve the Inequality for x	2x+2=8	$2 x + 2 = 8$
230286	Simplify	(a)(a)(a)	$(a) (a) (a)$
230287	Convert to Interval Notation	(x+5)/18+(x-7)/10<2/3	$\frac{x + 5}{18} + \frac{x - 7}{10} < \frac{2}{3}$
230288	Expand Using the Binomial Theorem	(xy-2y^-2)^21	${(x y - 2 y^{- 2})}^{21}$
230289	Find the Exact Value	-1(-( square root of 2)/2)	$- 1 (- \frac{\sqrt{2}}{2})$
230290	Simplify	(6x^7y^15)/(12x^3y^5)*8x^4y	$\frac{6 x^{7} y^{15}}{12 x^{3} y^{5}} \cdot 8 x^{4} y$
230291	Solve the System of Equations	-4x-2y-z=3 2x-3y+4z=-14 3x+y=-5	$- 4 x - 2 y - z = 3$ $2 x - 3 y + 4 z = - 14$ $3 x + y = - 5$
230292	Find the Product	(r/s)(3)	$(\frac{r}{s}) (3)$
230293	Evaluate	(x^6*x^8)/x	$\frac{x^{6} \cdot x^{8}}{x}$
230294	Simplify	square root of fifth root of w^6	$\sqrt{\sqrt[5]{w^{6}}}$
230295	Convert to a Decimal	cos(14)deg	$\cos (14)$ degrees
230296	Solve for x	4^(5x+2)=0.8*5^(5x+2)	$4^{5 x + 2} = 0.8 \cdot 5^{5 x + 2}$
230297	Write with Rational (Fractional) Exponents	square root of 3* fifth root of 3^2	$\sqrt{3} \cdot \sqrt[5]{3^{2}}$
230298	Evaluate	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
230299	Expand the Logarithmic Expression	natural log of (5p^3q^4)^2	$\ln ({(5 p^{3} q^{4})}^{2})$
230300	Write in Standard Form	(8n-3n^4+10n^2)-(3n^2+11n^4-7)	$(8 n - 3 n^{4} + 10 n^{2}) - (3 n^{2} + 11 n^{4} - 7)$