Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13201	Find the Product	3xy(x^2+xy+y^2)	$3 x y (x^{2} + x y + y^{2})$
13202	Find the Domain and Range	f(x)=2cot(3x)+4	$f (x) = 2 \cot (3 x) + 4$
13203	Solve the Function Operation	f(x)=-1/2x-1 if x<-2; x+2 if -2<=x<=3; -2x+7 if x>3 Find f(-2)	$f (x) = {\begin{cases} - \frac{1}{2} x - 1 & x < - 2 \\ x + 2 & - 2 \leq x \leq 3 \\ - 2 x + 7 & x > 3 \end{cases}$ Find $f (- 2)$
13204	Evaluate the Limit	limit as x approaches 1 of ((x^2-4x^2)/(x^2+x-2))^3	$lim_{x \to 1} {(\frac{x^{2} - 4 x^{2}}{x^{2} + x - 2})}^{3}$
13205	Solve for x	(3x+2)(4x+1)-3=0	$(3 x + 2) (4 x + 1) - 3 = 0$
13206	Solve by Completing the Square	3x^2-57=24x-9	$3 x^{2} - 57 = 24 x - 9$
13207	Find the Derivative - d/dx	4x^2(3x^3-2x^2+5x)	$4 x^{2} (3 x^{3} - 2 x^{2} + 5 x)$
13208	Simplify	128^(-3/4)*2^(-3/4)	$128^{- \frac{3}{4}} \cdot 2^{- \frac{3}{4}}$
13209	Multiply	(x-y)/(x^2-1)*(x-1)/(x^2-y^2)	$\frac{x - y}{x^{2} - 1} \cdot \frac{x - 1}{x^{2} - y^{2}}$
13210	Simplify	square root of cube root of 2/5	$\sqrt{\sqrt[3]{\frac{2}{5}}}$
13211	Simplify the Radical Expression	(2i)^5*(i square root of 6)^2	${(2 i)}^{5} \cdot {(i \sqrt{6})}^{2}$
13212	Convert to Scientific Notation	(6250000.0004)/(2500.0002)	$\frac{625000 \cdot 0.0004}{250 \cdot 0.0002}$
13213	Solve for x	(x^2-x-4)^(3/4)-2=6	${(x^{2} - x - 4)}^{\frac{3}{4}} - 2 = 6$
13214	Find the Reference Angle	tan((5pi)/6)	$\tan (\frac{5 π}{6})$
13215	Solve for x	3/2x+5=5-2(x+7)	$\frac{3}{2} x + 5 = 5 - 2 (x + 7)$
13216	Solve the Inequality for y	-28<=2y<=-22	$- 28 \leq 2 y \leq - 22$
13217	Find the Product	(8-4x)(2x+6)	$(8 - 4 x) (2 x + 6)$
13218	Solve for x	5(1+3x)-9=4(3x-3)	$5 (1 + 3 x) - 9 = 4 (3 x - 3)$
13219	Find the Other Trig Values in Quadrant III	cos(2A)=-2/3	$\cos (2 A) = \frac{- 2}{3}$
13220	Solve for x	(3x-6)/(x+4)>=0	$\frac{3 x - 6}{x + 4} \geq 0$
13221	Find the Area Under the Curve	f(x)=x^2+4x+4 , [-4,2] , n=7	$f (x) = x^{2} + 4 x + 4$ , $[- 4, 2]$ , $n = 7$
13222	Simplify	(7x^2+2x-10)-(2-6x+x^2)	$(7 x^{2} + 2 x - 10) - (2 - 6 x + x^{2})$
13223	Solve for x	y/2=x-9	$\frac{y}{2} = x - 9$
13224	Evaluate	(x^4)^-3*2x^4	${(x^{4})}^{- 3} \cdot 2 x^{4}$
13225	Simplify	(x^4-2)/(x^2-2)+2/(-x^2+2)	$\frac{x^{4} - 2}{x^{2} - 2} + \frac{2}{- x^{2} + 2}$
13226	Solve for r	A(r)=2pir^2+8pir	$A (r) = 2 π r^{2} + 8 π r$
13227	Find the Equation Using Point-Slope Formula	(3,-2) , y=2/3x+4	$(3, - 2)$ , $y = \frac{2}{3} x + 4$
13228	Multiply	-2*(-2/3)	$- 2 \cdot (- \frac{2}{3})$
13229	Simplify	cube root of y/(4x^2)	$\sqrt[3]{\frac{y}{4 x^{2}}}$
13230	Factor by Grouping	x^5y^4-y^4	$x^{5} y^{4} - y^{4}$
13231	Find dy/dx	y^3+x^2+5=4y^2	$y^{3} + x^{2} + 5 = 4 y^{2}$
13232	Simplify	((10x)/(6x^4))÷((8x^2)/(3x^4))	$\frac{10 x}{6 x^{4}} \div \frac{8 x^{2}}{3 x^{4}}$
13233	Find the x and y Intercepts	y=((x-3)(x+1))/(x-2)	$y = \frac{(x - 3) (x + 1)}{x - 2}$
13234	Evaluate	-3/2(2)^0	$- \frac{3}{2} {(2)}^{0}$
13235	Solve for u	7/4u=4/11	$\frac{7}{4} u = \frac{4}{11}$
13236	Find the Roots (Zeros)	f(x)=x^4+x^3-6x^2-4x+5	$f (x) = x^{4} + x^{3} - 6 x^{2} - 4 x + 5$
13237	Simplify	(2x^3-4x^2+7x+1)+(-x^3+2x^2+3x-5)	$(2 x^{3} - 4 x^{2} + 7 x + 1) + (- x^{3} + 2 x^{2} + 3 x - 5)$
13238	Simplify	square root of xy^3* square root of x^2y^4	$\sqrt{x y^{3}} \cdot \sqrt{x^{2} y^{4}}$
13239	Find the Derivative - d/dx	log of x+1	$\log (x + 1)$
13240	Find the Antiderivative	2x square root of x	$2 x \sqrt{x}$
13241	Solve the Inequality for x	-2x^2+39<=-16x-1	$- 2 x^{2} + 39 \leq - 16 x - 1$
13242	Evaluate	(-1/5)/(-1/5+1)-1	$\frac{- \frac{1}{5}}{- \frac{1}{5} + 1} - 1$
13243	Find the Domain and Range	1/7-x	$\frac{1}{7} - x$
13244	Simplify the Radical Expression	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
13245	Convert to Radical Form	9(27)^(1/3)	$9 {(27)}^{\frac{1}{3}}$
13246	Factor	8x^4+8x^3+27x+27	$8 x^{4} + 8 x^{3} + 27 x + 27$
13247	Expand Using the Binomial Theorem	(x^3+1/(2x))^15	${(x^{3} + \frac{1}{2 x})}^{15}$
13248	Solve for x	3 square root of 4-3x=21	$3 \sqrt{4 - 3 x} = 21$
13249	Simplify the Radical Expression	cube root of 4* cube root of 2	$\sqrt[3]{4} \cdot \sqrt[3]{2}$
13250	Solve the System of Equations	y=-2x^2+4x-1 y=2x-5	$y = - 2 x^{2} + 4 x - 1$ $y = 2 x - 5$
13251	Solve the Function Operation	f(x)=x^2-4x+6 g(x)=-3x+1 Find: (gof)(x)	$f (x) = x^{2} - 4 x + 6$ $g (x) = - 3 x + 1$ Find: $((g \circ f)) (x)$
13252	Solve the Inequality for a	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
13253	Simplify the Radical Expression	square root of square root of 2	$\sqrt{\sqrt{2}}$
13254	Simplify	square root of 28/(x^2)- square root of 7/(x^2)	$\sqrt{\frac{28}{x^{2}}} - \sqrt{\frac{7}{x^{2}}}$
13255	Simplify	square root of (1-csc(y)^2)(cos(y)^2-1)	$\sqrt{(1 - \csc^{2} (y)) (\cos^{2} (y) - 1)}$
13256	Evaluate Using Scientific Notation	4.65910^4-2.1410^4	$4.659 \cdot 10^{4} - 2.14 \cdot 10^{4}$
13257	Solve the Inequality for n	n+7<-3	$n + 7 < - 3$
13258	Write the Fraction in Simplest Form	(3y^6)/(4(y^-1)^3)	$\frac{3 y^{6}}{4 {(y^{- 1})}^{3}}$
13259	Simplify	(-1/4x^3)(4/9x^4)	$(- \frac{1}{4} x^{3}) (\frac{4}{9} x^{4})$
13260	Solve for u	-9(6+u)-2u=-10	$- 9 (6 + u) - 2 u = - 10$
13261	Multiply	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
13262	Simplify	4c+35d-15c+3c-d	$4 c + 35 d - 15 c + 3 c - d$
13263	Divide Using Synthetic Division	(6x^5-2x^3+4x^2-3x+1)÷(x-2)	$(6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1) \div (x - 2)$
13264	Simplify	(m1/2)/(m1/4)	$\frac{m \frac{1}{2}}{m \frac{1}{4}}$
13265	Simplify	25^(-1/3)	$25^{\frac{- 1}{3}}$
13266	Solve for r	2r^2-7r-18=-3	$2 r^{2} - 7 r - 18 = - 3$
13267	Evaluate	log base 7 of 7^3+ log base 7 of 7^8	$\log_{7} (7^{3}) + \log_{7} (7^{8})$
13268	Combine Like Terms	p^2-2p+2+3p^2+5	$p^{2} - 2 p + 2 + 3 p^{2} + 5$
13269	Find the x and y Intercepts	(x^2+4x)/(-x-4)	$\frac{x^{2} + 4 x}{- x - 4}$
13270	Solve the Inequality for y	2<6-2y<5	$2 < 6 - 2 y < 5$
13271	Solve for x	(x+7)/(x+6)-1/(6-x)=1/(x-6)	$\frac{x + 7}{x + 6} - \frac{1}{6 - x} = \frac{1}{x - 6}$
13272	Find All Complex Solutions	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
13273	Simplify	(5x^4y^3)^-2(2x^3y^5z^8)^4(y^7z^-3)	${(5 x^{4} y^{3})}^{- 2} {(2 x^{3} y^{5} z^{8})}^{4} (y^{7} z^{- 3})$
13274	Simplify	(-4x)/(3-6x)+(5x-1)/(3-6x)	$\frac{- 4 x}{3 - 6 x} + \frac{5 x - 1}{3 - 6 x}$
13275	Solve the Function Operation	f(x)=(x^(1/2))/7 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{2}}}{7}$ ; find $f^{- 1} (x)$
13276	Simplify	-10a^2+6a^3+3a+-6a^3-4a+8a^2	$- 10 a^{2} + 6 a^{3} + 3 a + - 6 a^{3} - 4 a + 8 a^{2}$
13277	Find the Roots (Zeros)	3cos(x+pi/6)	$3 \cos (x + \frac{π}{6})$
13278	Solve by Addition/Elimination	5x+y=19 2y=-5x+28	$5 x + y = 19$ $2 y = - 5 x + 28$
13279	Solve for x	((5^x)^(1/3))/(5^(2/3))=5	$\frac{{(5^{x})}^{\frac{1}{3}}}{5^{\frac{2}{3}}} = 5$
13280	Factor	7z(2x-y)+2x-y	$7 z (2 x - y) + 2 x - y$
13281	Divide	(6 square root of 3)÷2	$6 \sqrt{3} \div 2$
13282	Simplify	m/p-(m-p)/p	$\frac{m}{p} - \frac{m - p}{p}$
13283	Integrate Using u-Substitution	integral of cos(x)^3 with respect to x	$\int \cos^{3} (x) d x$
13284	Find h(f(x))	f(x)=(x^3)/27 and h(x)=27 cube root of x	$f (x) = \frac{x^{3}}{27}$ and $h (x) = 27 \sqrt[3]{x}$
13285	Find the Product	6xy(2x+y)	$6 x y (2 x + y)$
13286	Find the Cosine of the Angle	-(3pi)/2	$- \frac{3 π}{2}$
13287	Find the Domain	((a^2+ax+x^2)/(ax+2ay))÷((a^3-x^3)/(bx+2by))	$\frac{a^{2} + a x + x^{2}}{a x + 2 a y} \div \frac{a^{3} - x^{3}}{b x + 2 b y}$
13288	Write the Fraction in Simplest Form	(1/64)^(1/6)	${(\frac{1}{64})}^{\frac{1}{6}}$
13289	Write the Fraction in Simplest Form	(10j^-3)/(-2(j^-3)^3)	$\frac{10 j^{- 3}}{- 2 {(j^{- 3})}^{3}}$
13290	Simplify	(x^-1)/((xy)^3)	$\frac{x^{- 1}}{{(x y)}^{3}}$
13291	Find dy/dx	-y=-3x+xy	$- y = - 3 x + x y$
13292	Find All Complex Solutions	3y^2+7y+3=-y^2	$3 y^{2} + 7 y + 3 = - y^{2}$
13293	Solve the Inequality for x	-3/8x<=24	$- \frac{3}{8} x \leq 24$
13294	Solve the Function Operation	g(a)=2a-1 h(a)=3a-3 Find (g*h)(-4)	$g (a) = 2 a - 1$ $h (a) = 3 a - 3$ Find $(g \cdot h) (- 4)$
13295	Find the GCF	72a^3b-90a^2b^3+18a^4b^2	$72 a^{3} b - 90 a^{2} b^{3} + 18 a^{4} b^{2}$
13296	Add	(7x+3y-z)+(6x-2y+3z)	$(7 x + 3 y - z) + (6 x - 2 y + 3 z)$
13297	Find the Exact Value	sec(60 degrees )cot(45 degrees )	$\sec (60 °) \cot (45 °)$
13298	Evaluate	20% of 90	$20 %$ of $90$
13299	Simplify	square root of 9w^5-w square root of w^3	$\sqrt{9 w^{5}} - w \sqrt{w^{3}}$
13300	Simplify	x(x^3*x^0)	$x (x^{3} \cdot x^{0})$