Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230201	Evaluate	-7x>10	$- 7 x > 10$
230202	Solve the System of Equations	y=2x^2-5x -5x+y=-12	$y = 2 x^{2} - 5 x$ $- 5 x + y = - 12$
230203	Evaluate	log base (-2) of 4	$\log_{(- 2)} (4)$
230204	Simplify	cube root of 2xy^2+ cube root of 16xy^5+ cube root of 2x^4y^2	$\sqrt[3]{2 x y^{2}} + \sqrt[3]{16 x y^{5}} + \sqrt[3]{2 x^{4} y^{2}}$
230205	Factor by Grouping	z^6-9z^3+8	$z^{6} - 9 z^{3} + 8$
230206	Evaluate	cos(pi/4)^2-sin(pi/4)^2	$\cos^{2} (\frac{π}{4}) - \sin^{2} (\frac{π}{4})$
230207	Solve for n	log base 2 of n = log base 2 of 2n+6	$\log_{2} (n) = \log_{2} (2 n) + 6$
230208	Simplify	4/( square root of 64)	$\frac{4}{\sqrt{64}}$
230209	Rationalize the Denominator	square root of (2a)/(3b)	$\sqrt{\frac{2 a}{3 b}}$
230210	Simplify	(80^(1/4))/(5^(-1/4))	$\frac{80^{\frac{1}{4}}}{5^{\frac{- 1}{4}}}$
230211	Solve for x	(16/25)^(x^2+x)=1	${(\frac{16}{25})}^{x^{2} + x} = 1$
230212	Find All Complex Solutions	(x-3)(x+2)=0	$(x - 3) (x + 2) = 0$
230213	Solve the Inequality for y	1/2y<=-3	$\frac{1}{2} y \leq - 3$
230214	Write in Exponential Form	(x^6)/(4^7 square root of y^4)	$\frac{x^{6}}{4^{7} \sqrt{y^{4}}}$
230215	Simplify	cube root of 64^27	$\sqrt[3]{64^{27}}$
230216	Evaluate	-9+(8^2)÷(-4)	$- 9 + 8^{2} \div (- 4)$
230217	Simplify	cube root of 16* cube root of 8	$\sqrt[3]{16} \cdot \sqrt[3]{8}$
230218	Divide	6 , 394÷42	$6$ , $394 \div 42$
230219	Evaluate	2sin(x) = square root of 2	$2 \sin (x) = \sqrt{2}$
230220	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 $- \frac{3}{4}$ ?
230221	Divide	( cube root of 4x^2)/( cube root of x)	$\frac{\sqrt[3]{4 x^{2}}}{\sqrt[3]{x}}$
230222	Divide	(2x^3+11x^2-20)÷(x^2+x-2)	$(2 x^{3} + 11 x^{2} - 20) \div (x^{2} + x - 2)$
230223	Simplify	7(5)^(5/3)+49(5)^(2/3)	$7 {(5)}^{\frac{5}{3}} + 49 {(5)}^{\frac{2}{3}}$
230224	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 $2 x + 1$
230225	Find the GCF	y^6+y^4+y^2	$y^{6} + y^{4} + y^{2}$
230226	Write as a Single Logarithm	3/4( natural log of a+ natural log of b)	$\frac{3}{4} (\ln (a) + \ln (b))$
230227	Multiply	(1+i)(1+i)	$(1 + i) (1 + i)$
230228	Simplify the Radical Expression	(16x^8yz^12)^(1/4)	${(16 x^{8} y z^{12})}^{\frac{1}{4}}$
230229	Describe the Transformation	f(x) = cube root of x , g(x)=- cube root of x-1	$f (x) = \sqrt[3]{x}$ , $g (x) = - \sqrt[3]{x} - 1$
230230	Solve for x	5( square root of x-2+1)=15	$5 (\sqrt{x - 2} + 1) = 15$
230231	Evaluate	( square root of a square root of b)/( seventh root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[7]{a b}}$
230232	Write in Standard Form	-2/3p+1/5-1+5/6p	$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$
230233	Simplify	2((x+12+5+5)+(x+5+5))	$2 ((x + 12 + 5 + 5) + (x + 5 + 5))$
230234	Solve the Absolute Value Inequality for x	\|2x+3\|+4<5	$\| 2 x + 3 \| + 4 < 5$
230235	Rationalize the Denominator	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
230236	Simplify	7c^3*d^-2	$7 c^{3} \cdot d^{- 2}$
230237	Multiply	(1-1/2)(1-1/3)(1-1/4)*(1-1/5)	$(1 - \frac{1}{2}) \cdot (1 - \frac{1}{3}) \cdot (1 - \frac{1}{4}) \cdot (1 - \frac{1}{5})$
230238	Multiply	2 square root of 8b^3*9 square root of 18b	$2 \sqrt{8 b^{3}} \cdot 9 \sqrt{18 b}$
230239	Find the Degree, Leading Term, and Leading Coefficient	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
230240	Solve for n	(n^2-1)/(3n^2)=0.3325	$\frac{n^{2} - 1}{3 n^{2}} = 0.3325$
230241	Simplify	(2+3)^2+8/2	${(2 + 3)}^{2} + \frac{8}{2}$
230242	Simplify	(6x)/(x-3)+4/((x-3)^2)	$\frac{6 x}{x - 3} + \frac{4}{{(x - 3)}^{2}}$
230243	Evaluate	1/(e^0)	$\frac{1}{e^{0}}$
230244	Graph	y=-x/3-3/2	$y = - \frac{x}{3} - \frac{3}{2}$
230245	Evaluate the Function	g(-x)=-x^2	$g (- x) = - x^{2}$
230246	Simplify	(-(3a^3b^4)/2)^2	${(- \frac{3 a^{3} b^{4}}{2})}^{2}$
230247	Evaluate	( square root of -0.01+1-1)/-0.01	$\frac{\sqrt{- 0.01 + 1} - 1}{- 0.01}$
230248	Evaluate Using the Given Value	20x if x=1/2	$20 x$ if $x = \frac{1}{2}$
230249	Simplify the Radical Expression	(8^3)^(1/3)	${(8^{3})}^{\frac{1}{3}}$
230250	Simplify	(1/3)^6(-12(1/3)^9)(1/3)^4	${(\frac{1}{3})}^{6} (- 12 {(\frac{1}{3})}^{9}) {(\frac{1}{3})}^{4}$
230251	Multiply	(4x^3+x)(2x^2-1)(6x-3)	$(4 x^{3} + x) (2 x^{2} - 1) (6 x - 3)$
230252	Graph	2y^2	$2 y^{2}$
230253	Evaluate	(4-2x)(4+2x)	$(4 - 2 x) (4 + 2 x)$
230254	Evaluate	(x^-8)/(x^4y^4y^-3)	$\frac{x^{- 8}}{x^{4} y^{4} y^{- 3}}$
230255	Solve the System of Equations	x=-4 y=1/2x+7	$x = - 4$ $y = \frac{1}{2} x + 7$
230256	Solve the Inequality for x	-2 square root of x+1<=-4	$- 2 \sqrt{x + 1} \leq - 4$
230257	Evaluate	1e+6	$1 e + 6$
230258	Solve the Inequality for x	6x-(2x+3)>4x-5	$6 x - (2 x + 3) > 4 x - 5$
230259	Simplify	square root of 6ay* square root of 18a*1/y	$\sqrt{6 a y} \cdot \sqrt{18 a} \cdot \frac{1}{y}$
230260	Factor	ab+2b+b^2	$a b + 2 b + b^{2}$
230261	Evaluate	2 3/7-5 6/7	$2 \frac{3}{7} - 5 \frac{6}{7}$
230262	Simplify	((2d)^0)÷((d^2e^-4)^-1)	${(2 d)}^{0} \div {(d^{2} e^{- 4})}^{- 1}$
230263	Solve the Inequality for m	6-2\|m-3\|>-4	$6 - 2 \| m - 3 \| > - 4$
230264	Simplify the Radical Expression	- cube root of 125	$- \sqrt[3]{125}$
230265	Write in Exponential Form	square root of square root of 4	$\sqrt{\sqrt{4}}$
230266	Evaluate	((-3/4)^5)^2	${({(- \frac{3}{4})}^{5})}^{2}$
230267	Simplify	1/(x^3)-x/3	$\frac{1}{x^{3}} - \frac{x}{3}$
230268	Simplify	4x^3 square root of 64x^5	$4 x^{3} \sqrt{64 x^{5}}$
230269	Find the Domain and Range	y=-3(1/2)^(x-4)+1	$y = - 3 {(\frac{1}{2})}^{x - 4} + 1$
230270	Simplify	(4x^2y)/(2xz^2)*(6xz^3)/(20y^4)	$\frac{4 x^{2} y}{2 x z^{2}} \cdot \frac{6 x z^{3}}{20 y^{4}}$
230271	Evaluate	(4x+4(3+a)^2)/(y-1)	$\frac{4 x + 4 {(3 + a)}^{2}}{y - 1}$
230272	Solve for y	x=y(y-1)	$x = y (y - 1)$
230273	Divide	Divide: (x^3+x^2-10x+8)÷(x-2)	Divide: $(x^{3} + x^{2} - 10 x + 8) \div (x - 2)$
230274	Solve for a	4-7a=3-a+13	$4 - 7 a = 3 - a + 13$
230275	Find the Domain and Range	y=arccos(x-2)	$y = \arccos (x - 2)$
230276	Simplify	(9r^3-54r^2)/(9r^2+45r)*(9r^2+9r)/(9r^3-54r^2)	$\frac{9 r^{3} - 54 r^{2}}{9 r^{2} + 45 r} \cdot \frac{9 r^{2} + 9 r}{9 r^{3} - 54 r^{2}}$
230277	Simplify	3t(tn-5)	$3 t (t n - 5)$
230278	Solve for x	4(x-2)^-2=16	$4 {(x - 2)}^{- 2} = 16$
230279	Convert to a Decimal	sin(11)deg	$\sin (11)$ degrees
230280	Solve the System of Equations	t=-2 x=t^2-2 y=-t+2	$t = - 2$ $x = t^{2} - 2$ $y = - t + 2$
230281	Solve for y	5x-7y=35 ; for y	$5 x - 7 y = 35$ ; for $y$
230282	Find the Inverse	((x+3)^(1/3))/8	$\frac{{(x + 3)}^{\frac{1}{3}}}{8}$
230283	Simplify	(3-i)/(2-2i)	$\frac{3 - i}{2 - 2 i}$
230284	Simplify	((x^2+10x+16)/(x^2-6x-16))÷((x+8)/(x^2-64))	$\frac{x^{2} + 10 x + 16}{x^{2} - 6 x - 16} \div \frac{x + 8}{x^{2} - 64}$
230285	Solve for x	1/x+1/(x^2)=3/4	$\frac{1}{x} + \frac{1}{x^{2}} = \frac{3}{4}$
230286	Solve for n	(n+4)/(n-6)=7s	$\frac{n + 4}{n - 6} = 7 s$
230287	Simplify	(a-b)*z+3(b-a)^2	$(a - b) \cdot z + 3 {(b - a)}^{2}$
230288	Simplify	(4x^2-4x)/(2x^2+4x-6)*(x^2+x-6)/(4x^2+8x)	$\frac{4 x^{2} - 4 x}{2 x^{2} + 4 x - 6} \cdot \frac{x^{2} + x - 6}{4 x^{2} + 8 x}$
230289	Solve the Rational Equation for x	(3x+1)/(x-2)+4/x=-8/(x^2-2x)	$\frac{3 x + 1}{x - 2} + \frac{4}{x} = \frac{- 8}{x^{2} - 2 x}$
230290	Find the Roots (Zeros)	f(X)=2x^3-24x^2+44x-40	$f (X) = 2 x^{3} - 24 x^{2} + 44 x - 40$
230291	Simplify	((2c^2-5c-3)/(c^2+4c-21))÷(2c+1)	$\frac{2 c^{2} - 5 c - 3}{c^{2} + 4 c - 21} \div (2 c + 1)$
230292	Solve for n	(4,2) , (n,6) , m=4/3	$(4, 2)$ , $(n, 6)$ , $m = \frac{4}{3}$
230293	Write in y=mx+b Form	2y+x-4=0	$2 y + x - 4 = 0$
230294	Evaluate	tan(theta)+cot(theta)=csc(theta)sec(theta)	$\tan (θ) + \cot (θ) = \csc (θ) \sec (θ)$
230295	Graph	y=4x+3 and y=-x-2	$y = 4 x + 3$ and $y = - x - 2$
230296	Solve for x	4tan(x)-7=3tan(x)-6	$4 \tan (x) - 7 = 3 \tan (x) - 6$
230297	Graph	y=x^2 , y=4	$y = x^{2}$ , $y = 4$
230298	Simplify	(12a^8b^2c)/(3ab^5c)	$\frac{12 a^{8} b^{2} c}{3 a b^{5} c}$
230299	Simplify	a^4(b^4a^6)	$a^{4} (b^{4} a^{6})$
230300	Evaluate	3/2(4^3-2^2*3^2)	$\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})$