Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210301	Solve for x	(x+7)/(x+6)-1/(6-x)=1/(x-6)	$\frac{x + 7}{x + 6} - \frac{1}{6 - x} = \frac{1}{x - 6}$
210302	Find All Complex Solutions	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
210303	Simplify	(5x^4y^3)^-2(2x^3y^5z^8)^4(y^7z^-3)	${(5 x^{4} y^{3})}^{- 2} {(2 x^{3} y^{5} z^{8})}^{4} (y^{7} z^{- 3})$
210304	Simplify	(-4x)/(3-6x)+(5x-1)/(3-6x)	$\frac{- 4 x}{3 - 6 x} + \frac{5 x - 1}{3 - 6 x}$
210305	Simplify	-10a^2+6a^3+3a+-6a^3-4a+8a^2	$- 10 a^{2} + 6 a^{3} + 3 a + - 6 a^{3} - 4 a + 8 a^{2}$
210306	Find the Roots (Zeros)	3cos(x+pi/6)	$3 \cos (x + \frac{π}{6})$
210307	Solve by Addition/Elimination	5x+y=19 2y=-5x+28	$5 x + y = 19$ $2 y = - 5 x + 28$
210308	Solve for x	((5^x)^(1/3))/(5^(2/3))=5	$\frac{{(5^{x})}^{\frac{1}{3}}}{5^{\frac{2}{3}}} = 5$
210309	Factor	7z(2x-y)+2x-y	$7 z (2 x - y) + 2 x - y$
210310	Divide	(6 square root of 3)÷2	$6 \sqrt{3} \div 2$
210311	Simplify	m/p-(m-p)/p	$\frac{m}{p} - \frac{m - p}{p}$
210312	Find h(f(x))	f(x)=(x^3)/27 and h(x)=27 cube root of x	$f (x) = \frac{x^{3}}{27}$ and $h (x) = 27 \sqrt[3]{x}$
210313	Find the Product	6xy(2x+y)	$6 x y (2 x + y)$
210314	Write the Fraction in Simplest Form	(1/64)^(1/6)	${(\frac{1}{64})}^{\frac{1}{6}}$
210315	Write the Fraction in Simplest Form	(10j^-3)/(-2(j^-3)^3)	$\frac{10 j^{- 3}}{- 2 {(j^{- 3})}^{3}}$
210316	Simplify	(x^-1)/((xy)^3)	$\frac{x^{- 1}}{{(x y)}^{3}}$
210317	Find All Complex Solutions	3y^2+7y+3=-y^2	$3 y^{2} + 7 y + 3 = - y^{2}$
210318	Solve the Inequality for x	-3/8x<=24	$- \frac{3}{8} x \leq 24$
210319	Find the GCF	72a^3b-90a^2b^3+18a^4b^2	$72 a^{3} b - 90 a^{2} b^{3} + 18 a^{4} b^{2}$
210320	Find the Exact Value	sec(60 degrees )cot(45 degrees )	$\sec (60 °) \cot (45 °)$
210321	Evaluate	20% of 90	$20 %$ of $90$
210322	Simplify	square root of 9w^5-w square root of w^3	$\sqrt{9 w^{5}} - w \sqrt{w^{3}}$
210323	Simplify	x(x^3*x^0)	$x (x^{3} \cdot x^{0})$
210324	Solve for x	8x+13=7x+5x-11	$8 x + 13 = 7 x + 5 x - 11$
210325	Simplify	17j^2-12k^2+3j^2-15j^2+14k^2	$17 j^{2} - 12 k^{2} + 3 j^{2} - 15 j^{2} + 14 k^{2}$
210326	Evaluate	20% of 10	$20 %$ of $10$
210327	Simplify	(5^-1(-2)^-3)/(8^-2)	$\frac{5^{- 1} {(- 2)}^{- 3}}{8^{- 2}}$
210328	Simplify	square root of 2a+2 square root of 8a^3+2a square root of 1/2a	$\sqrt{2 a} + 2 \sqrt{8 a^{3}} + 2 a \sqrt{\frac{1}{2} a}$
210329	Solve the System of Inequalities	8-3x>5 and x-5>=10	$8 - 3 x > 5$ and $x - 5 \geq 10$
210330	Simplify	7k^2(-2k)(4k^-5)^0	$7 k^{2} (- 2 k) {(4 k^{- 5})}^{0}$
210331	Graph	g(x)=f(x)+1/3	$g (x) = f (x) + \frac{1}{3}$
210332	Solve the Inequality for y	30<5(8-y)	$30 < 5 (8 - y)$
210333	Factor	24x^2-15=54x	$24 x^{2} - 15 = 54 x$
210334	Evaluate	4(3+1/4c-1/2d)	$4 (3 + \frac{1}{4} c - \frac{1}{2} d)$
210335	Solve for x	square root of x=1/4	$\sqrt{x} = \frac{1}{4}$
210336	Solve for z	2/3z=4 1/4	$\frac{2}{3} z = 4 \frac{1}{4}$
210337	Write in Standard Form	(8x-x^3+4-9x^2)+(7x^3+9x^2-10-8x)	$(8 x - x^{3} + 4 - 9 x^{2}) + (7 x^{3} + 9 x^{2} - 10 - 8 x)$
210338	Simplify	(6c^2d-14cd^2+2d^3)/2	$\frac{6 c^{2} d - 14 c d^{2} + 2 d^{3}}{2}$
210339	Simplify	( square root of 5+2)(4- square root of 5)	$(\sqrt{5} + 2) (4 - \sqrt{5})$
210340	Simplify	(1/p+2/3)/(1/p)	$\frac{\frac{1}{p} + \frac{2}{3}}{\frac{1}{p}}$
210341	Describe the Transformation	F(x)=2^x+3	$F (x) = 2^{x} + 3$
210342	Find the Exact Value	cube root of 64^2	$\sqrt[3]{64^{2}}$
210343	Solve for x	natural log of 5+ natural log of 2x=5	$\ln (5) + \ln (2 x) = 5$
210344	Multiply	square root of 3*2 square root of 2	$\sqrt{3} \cdot 2 \sqrt{2}$
210345	Determine if True	tan(theta)^2+1=sec(theta)^2	$\tan^{2} (θ) + 1 = \sec^{2} (θ)$
210346	Graph	y=x^2 and y=x^2-3	$y = x^{2}$ and $y = x^{2} - 3$
210347	Solve for p	1/2+p=-3	$\frac{1}{2} + p = - 3$
210348	Simplify	((14w^12)/(7w^3))^-1	${(\frac{14 w^{12}}{7 w^{3}})}^{- 1}$
210349	Simplify	(a-2b)/(3b)-(b-2a)/(3a)	$\frac{a - 2 b}{3 b} - \frac{b - 2 a}{3 a}$
210350	Graph	x-y=-2 -x+y=2	$x - y = - 2$ $- x + y = 2$
210351	Graph	y=3/5x+7 y=1/5x+5	$y = \frac{3}{5} x + 7$ $y = \frac{1}{5} x + 5$
210352	Simplify	(5x^-2y^5)/(10x^4(y^-2)^4)	$\frac{5 x^{- 2} y^{5}}{10 x^{4} {(y^{- 2})}^{4}}$
210353	Write in Standard Form	(3x^2-10x+4)+(10x^2-5x+8)	$(3 x^{2} - 10 x + 4) + (10 x^{2} - 5 x + 8)$
210354	Solve the System of Equations	2x-y=4 y-x=4	$2 x - y = 4$ $y - x = 4$
210355	Solve the Rational Equation for x	5x = square root of 10+15x	$5 x = \sqrt{10 + 15 x}$
210356	Simplify	(x^2-2x-8)/(9x)*(3x^3)/(x^2-4x)	$\frac{x^{2} - 2 x - 8}{9 x} \cdot \frac{3 x^{3}}{x^{2} - 4 x}$
210357	Simplify	(3x^3)^3(x^5)^4	${(3 x^{3})}^{3} {(x^{5})}^{4}$
210358	Solve the Inequality for x	3x^2+166<45x+4	$3 x^{2} + 166 < 45 x + 4$
210359	Simplify	(4 square root of 5-1)(3+2 square root of 5)	$(4 \sqrt{5} - 1) (3 + 2 \sqrt{5})$
210360	Evaluate the Function	g(2y)=x^2	$g (2 y) = x^{2}$
210361	Simplify	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
210362	Factor	f(x)=7x^4-56x	$f (x) = 7 x^{4} - 56 x$
210363	Evaluate	(cos(50 degrees ))/(sin(50 degrees ))	$\frac{\cos (50 °)}{\sin (50 °)}$
210364	Simplify	(4x cube root of 6)/(5 cube root of 9x)	$\frac{4 x \sqrt[3]{6}}{5 \sqrt[3]{9 x}}$
210365	Solve for y	log base 3 of (1+y)^2=2	$\log_{3} ({(1 + y)}^{2}) = 2$
210366	Evaluate	square root of x=x-2	$\sqrt{x} = x - 2$
210367	Solve for x	(x^2-25)/((x+2)(x-2))=0	$\frac{x^{2} - 25}{(x + 2) (x - 2)} = 0$
210368	Simplify	3/(8x)+1/4	$\frac{3}{8 x} + \frac{1}{4}$
210369	Simplify	1/((48x^3y^4)^-2)	$\frac{1}{{(48 x^{3} y^{4})}^{- 2}}$
210370	Solve for x	2/x=x/(4x-6)	$\frac{2}{x} = \frac{x}{4 x - 6}$
210371	Find the Exact Value	log of 2+ log of 5	$\log (2) + \log (5)$
210372	Factor	(7x-6)^2+x5(7x-6)7	${(7 x - 6)}^{2} + x \cdot 5 (7 x - 6) \cdot 7$
210373	Solve for s	2s+3=20-1	$2 s + 3 = 20 - 1$
210374	Solve for f	f-5 = square root of f-3	$f - 5 = \sqrt{f - 3}$
210375	Solve the Inequality for x	5 1/2>=1.6x	$5 \frac{1}{2} \geq 1.6 x$
210376	Solve for x	tan(3x)(tan(x)-1)=0	$\tan (3 x) (\tan (x) - 1) = 0$
210377	Solve for X	\|X\|-7=6	$\| X \| - 7 = 6$
210378	Solve the Inequality for d	23+d>35	$23 + d > 35$
210379	Solve the System of Equations	x^2+2y=30 2x+y=15	$x^{2} + 2 y = 30$ $2 x + y = 15$
210380	Simplify	-2ab(5b^2c)^3	$- 2 a b {(5 b^{2} c)}^{3}$
210381	Simplify	2/5cd^2-1/3cd^2	$\frac{2}{5} c d^{2} - \frac{1}{3} c d^{2}$
210382	Multiply	5xy(6x-y)	$5 x y (6 x - y)$
210383	Solve for m	5 square root of m-1=40	$5 \sqrt{m - 1} = 40$
210384	Simplify	(ma-mb)/(3n^2)*(2m)/(nb-na)	$\frac{m a - m b}{3 n^{2}} \cdot \frac{2 m}{n b - n a}$
210385	Solve for x	9 cube root of (x-7)^4=9	$9 \sqrt[3]{{(x - 7)}^{4}} = 9$
210386	Find the Product	-4x(2x^2-3x+5)	$- 4 x (2 x^{2} - 3 x + 5)$
210387	Simplify	(2x)/(x^2+6x+9)(4x^3-24x^2-108x)/(x-9)(x^3+9x^2+18x)/(x+6)	$\frac{2 x}{x^{2} + 6 x + 9} \cdot \frac{4 x^{3} - 24 x^{2} - 108 x}{x - 9} \cdot \frac{x^{3} + 9 x^{2} + 18 x}{x + 6}$
210388	Find the Roots (Zeros)	f(x)=-x(x+2)(x-2)(x+1)	$f (x) = - x (x + 2) (x - 2) (x + 1)$
210389	Solve for a	81^(a+2)=3^(3a+1)	$81^{a + 2} = 3^{3 a + 1}$
210390	Simplify	fourth root of (3a^2)/(8b^7)	$\sqrt[4]{\frac{3 a^{2}}{8 b^{7}}}$
210391	Solve for m	(m+3)(m-4)=-6	$(m + 3) (m - 4) = - 6$
210392	Solve for x	5 square root of x+2>17	$5 \sqrt{x} + 2 > 17$
210393	Simplify	(6a^2-5a)+(a-5a+3a^3)	$(6 a^{2} - 5 a) + (a - 5 a + 3 a^{3})$
210394	Solve the Inequality for r	r/-2<-6	$\frac{r}{- 2} < - 6$
210395	Solve for x	square root of x+7- square root of 8x=-1	$\sqrt{x + 7} - \sqrt{8 x} = - 1$
210396	Solve for x	x+3+2x=-1+3x+4	$x + 3 + 2 x = - 1 + 3 x + 4$
210397	Graph	f(x)<-2 square root of x+3	$f (x) < - 2 \sqrt{x + 3}$
210398	Simplify	(xy+3x-2y-6)/(y^2+y-6)	$\frac{x y + 3 x - 2 y - 6}{y^{2} + y - 6}$
210399	Solve for z	(9z+5)^2=0	${(9 z + 5)}^{2} = 0$
210400	Solve for c	6.95-8c=24.95	$6.95 - 8 c = 24.95$