Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214201	Evaluate	e^-4*e^6	$e^{- 4} \cdot e^{6}$
214202	Simplify	5t+(t-3)-((7t+5)-(8-3t))	$5 t + (t - 3) - ((7 t + 5) - (8 - 3 t))$
214203	Solve the System of Inequalities	y>-7 y>9/2x+2	$y > - 7$ $y > \frac{9}{2} x + 2$
214204	Solve for x	csc(x)+cot(x)=( square root of 3)/3	$\csc (x) + \cot (x) = \frac{\sqrt{3}}{3}$
214205	Simplify	((-3x^4yz^-2)^2)/(3x^5y^2z)	$\frac{{(- 3 x^{4} y z^{- 2})}^{2}}{3 x^{5} y^{2} z}$
214206	Find the Domain and Range	y=cot(x+pi/4)	$y = \cot (x + \frac{π}{4})$
214207	Solve for P	P=6.76^(3/2)	$P = {6.76}^{\frac{3}{2}}$
214208	Simplify the Radical Expression	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a} \cdot 8 \sqrt{35 a^{2}}$
214209	Simplify	(7+ square root of 12)(7- square root of 12)	$(7 + \sqrt{12}) (7 - \sqrt{12})$
214210	Simplify the Radical Expression	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
214211	Simplify	(5 square root of 40+6 square root of 90)/(2 square root of 2)	$\frac{5 \sqrt{40} + 6 \sqrt{90}}{2 \sqrt{2}}$
214212	Simplify	cot(theta)sin(theta)cos(theta)	$\cot (θ) \sin (θ) \cos (θ)$
214213	Simplify	3yz^2*5y^2z	$3 y z^{2} \cdot 5 y^{2} z$
214214	Simplify	((2a+3b)/(2a)+(2a-3b)/(3b))^2-((2a+3b)/(2a)-(2a-3b)/(3b))^2	${(\frac{(2 a + 3 b)}{2 a} + \frac{(2 a - 3 b)}{3 b})}^{2} - {(\frac{(2 a + 3 b)}{2 a} - \frac{(2 a - 3 b)}{3 b})}^{2}$
214215	Write in Standard Form	(2x^2-6x-2)+(x^2+4x)	$(2 x^{2} - 6 x - 2) + (x^{2} + 4 x)$
214216	Simplify	fifth root of 32(x+7)^15	$\sqrt[5]{32 {(x + 7)}^{15}}$
214217	Simplify	3t+7y+t+3y	$3 t + 7 y + t + 3 y$
214218	Find the Exact Value	arccos(csc(pi/2))	$\arccos (\csc (\frac{π}{2}))$
214219	Complete the Square	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
214220	Simplify the Radical Expression	square root of k^7 cube root of k^11	$\sqrt{k^{7}} \sqrt[3]{k^{11}}$
214221	Solve the Inequality for x	3/4x+1/2<=5/4	$\frac{3}{4} x + \frac{1}{2} \leq \frac{5}{4}$
214222	Simplify	(8ab^2)(-2a^4n^5)(1/8a^2b)	$(8 a b^{2}) (- 2 a^{4} n^{5}) (\frac{1}{8} a^{2} b)$
214223	Evaluate	square root of x+3 = square root of 2x-3	$\sqrt{x + 3} = \sqrt{2 x - 3}$
214224	Solve for c	1/a=bc+1/d	$\frac{1}{a} = b c + \frac{1}{d}$
214225	Simplify	-5x^2+10x-1 from 6x^2-x+3	$- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
214226	Evaluate	4/5(x-10)	$\frac{4}{5} (x - 10)$
214227	Multiply	5/20*3.15	$\frac{5}{20} \cdot 3.15$
214228	Graph	\|x+2\|-5=(x-1)(x-3)	$\| x + 2 \| - 5 = (x - 1) (x - 3)$
214229	Solve the System of Equations	2x-4y+2z=4 x+2y-4z=8 3x-6y+3z=8	$2 x - 4 y + 2 z = 4$ $x + 2 y - 4 z = 8$ $3 x - 6 y + 3 z = 8$
214230	Solve for b	8(3b+1)=4(b+3)-9	$8 (3 b + 1) = 4 (b + 3) - 9$
214231	Write the Fraction in Simplest Form	((3y^-4)^2)/(15y^-3)	$\frac{{(3 y^{- 4})}^{2}}{15 y^{- 3}}$
214232	Simplify	((b^x)^y)^z	${({(b^{x})}^{y})}^{z}$
214233	Solve for y	(3-2y)^2=3	${(3 - 2 y)}^{2} = 3$
214234	Simplify	(x^3)/7*9/(8x^3)	$\frac{x^{3}}{7} \cdot \frac{9}{8 x^{3}}$
214235	Multiply	(3x+y^2)^2	${(3 x + y^{2})}^{2}$
214236	Evaluate	(pi*2^2)/2	$\frac{π \cdot 2^{2}}{2}$
214237	Multiply	square root of 3x* square root of 3x	$\sqrt{3 x} \cdot \sqrt{3 x}$
214238	Solve the Inequality for x	-6.5<=(7x+6)/2<=20.5	$- 6.5 \leq \frac{7 x + 6}{2} \leq 20.5$
214239	Find the Inverse	y=-3/7x+5/7	$y = - \frac{3}{7} x + \frac{5}{7}$
214240	Solve the System of Inequalities	y<2x+5 2x-y<=3	$y < 2 x + 5$ $2 x - y \leq 3$
214241	Graph	y=arcsin(2x)	$y = \arcsin (2 x)$
214242	Simplify	11 square root of ab-5 square root of ab+3 square root of ab	$11 \sqrt{a b} - 5 \sqrt{a b} + 3 \sqrt{a b}$
214243	Write the Fraction in Simplest Form	(2w^-1)/((-3w^-3)^4)	$\frac{2 w^{- 1}}{{(- 3 w^{- 3})}^{4}}$
214244	Simplify	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
214245	Find All Complex Solutions	x^3-2x^2+9x-8=10	$x^{3} - 2 x^{2} + 9 x - 8 = 10$
214246	Solve the System of Equations	3x=-12y+15 and x+4y=5	$3 x = - 12 y + 15$ and $x + 4 y = 5$
214247	Find the Roots (Zeros)	y=(2x+5)(x-3)^2	$y = (2 x + 5) {(x - 3)}^{2}$
214248	Find All Complex Solutions	square root of 3x+1-x+3=0	$\sqrt{3 x + 1} - x + 3 = 0$
214249	Evaluate	(2pi)/-4	$\frac{2 π}{- 4}$
214250	Solve the Inequality for x	7x+10>17x	$7 x + 10 > 17 x$
214251	Simplify	i square root of 3*i square root of 6	$i \sqrt{3} \cdot i \sqrt{6}$
214252	Simplify	(x-1)/(4x^2)*(8x)/(x^2-2x+1)	$\frac{x - 1}{4 x^{2}} \cdot \frac{8 x}{x^{2} - 2 x + 1}$
214253	Solve the System of Equations	-2x+y=8 y=(2x)/5-8	$- 2 x + y = 8$ $y = \frac{2 x}{5} - 8$
214254	Graph	y<-x+2 y>3	$y < - x + 2$ $y > 3$
214255	Combine Like Terms	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
214256	Solve the Inequality for s	s/-6>-16	$\frac{s}{- 6} > - 16$
214257	Solve for x	y(x+a)=k(x+z)	$y (x + a) = k (x + z)$
214258	Solve for B	D=ABC for B	$D = A B C$ for $B$
214259	Write in y=mx+b Form	(1,4) and (2,2)	$(1, 4)$ and $(2, 2)$
214260	Evaluate	10^-1+5^0	$10^{- 1} + 5^{0}$
214261	Simplify the Radical Expression	(x^(2/3))^(5/2)	${(x^{\frac{2}{3}})}^{\frac{5}{2}}$
214262	Multiply	(3-x)(3x^2+x-4)	$(3 - x) (3 x^{2} + x - 4)$
214263	Multiply	-2x^3+x+4x^2-3x+1	$- 2 x^{3} + x + 4 x^{2} - 3 x + 1$
214264	Graph	f(x)=1/3 square root of x-2	$f (x) = \frac{1}{3} \sqrt{x - 2}$
214265	Find the LCD	4/(3x) and 5/(6x+18)	$\frac{4}{3 x}$ and $\frac{5}{6 x + 18}$
214266	Simplify	(y^4-3y+7)+(2y^3+2y-2y^4-11)	$(y^{4} - 3 y + 7) + (2 y^{3} + 2 y - 2 y^{4} - 11)$
214267	Solve for x	square root of x+1 = square root of x+9	$\sqrt{x + 1} = \sqrt{x + 9}$
214268	Solve the System of Equations	y=x^2+1 x^2+y^2=1	$y = x^{2} + 1$ $x^{2} + y^{2} = 1$
214269	Factor by Grouping	5mn+25m+3n^3+15n^2	$5 m n + 25 m + 3 n^{3} + 15 n^{2}$
214270	Simplify	( square root of 25)÷( square root of 625)	$\sqrt{25} \div \sqrt{625}$
214271	Simplify	4 square root of 9/25	$4 \sqrt{\frac{9}{25}}$
214272	Divide	(2a^3b^2-10ab^3c)÷2ab^2	$(2 a^{3} b^{2} - 10 a b^{3} c) \div 2 a b^{2}$
214273	Simplify	(x/5-p/10)/p	$\frac{\frac{x}{5} - \frac{p}{10}}{p}$
214274	Simplify	((a-1)/(3a+(a-1)^2)-(1-3a+a^2)/(a^3-1)-1/(a-1))÷((a^2+1)/(a-1))	$(\frac{a - 1}{3 a + {(a - 1)}^{2}} - \frac{1 - 3 a + a^{2}}{a^{3} - 1} - \frac{1}{a - 1}) \div \frac{a^{2} + 1}{a - 1}$
214275	Evaluate	(3^-4*3^-1)/3	$\frac{3^{- 4} \cdot 3^{- 1}}{3}$
214276	Convert to a Decimal	95deg	$95$ degrees
214277	Find the Exact Value	12*12	$12 \cdot 12$
214278	Solve the Inequality for x	-5x^2+3>=-8x-1	$- 5 x^{2} + 3 \geq - 8 x - 1$
214279	Simplify	(cd)^(2/3)(a^(1/4)d)^3	${(c d)}^{\frac{2}{3}} {(a^{\frac{1}{4}} d)}^{3}$
214280	Simplify the Radical Expression	( cube root of 24)/( cube root of 15)	$\frac{\sqrt[3]{24}}{\sqrt[3]{15}}$
214281	Solve the System of Equations	-2x-9y=8 and -5x-8y=-9	$- 2 x - 9 y = 8$ and $- 5 x - 8 y = - 9$
214282	Solve the System of Equations	3x=12-2y 12x+8y-48=0	$3 x = 12 - 2 y$ $12 x + 8 y - 48 = 0$
214283	Solve for x	2 natural log of 4+ natural log of x=3 natural log of 2+ natural log of x+1	$2 \ln (4) + \ln (x) = 3 \ln (2) + \ln (x + 1)$
214284	Simplify	(y^2-3y^3-2+5y)-(7+8y^2-4y+6y^3)	$(y^{2} - 3 y^{3} - 2 + 5 y) - (7 + 8 y^{2} - 4 y + 6 y^{3})$
214285	Simplify	54÷6+2(8-3*4)	$54 \div 6 + 2 (8 - 3 \cdot 4)$
214286	Subtract	(x^2)/(x^2-36)-(x+42)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36} - \frac{x + 42}{x^{2} - 36}$
214287	Write as a Single Logarithm	natural log of x-3 natural log of z+1/2 natural log of y	$\ln (x) - 3 \ln (z) + \frac{1}{2} \ln (y)$
214288	Write with Rational (Fractional) Exponents	seventh root of 4^-10	$\sqrt[7]{4^{- 10}}$
214289	Find the Product	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
214290	Write in Exponential Form	cube root of x- cube root of x^2	$\sqrt[3]{x} - \sqrt[3]{x^{2}}$
214291	Solve the Absolute Value Inequality for x	\|x-3\|=\|x+2\|	$\| x - 3 \| = \| x + 2 \|$
214292	Solve the System of Equations	x+y=5 -5x-4y=-18	$x + y = 5$ $- 5 x - 4 y = - 18$
214293	Solve for b	12+5/3b+11-18=20	$12 + \frac{5}{3} b + 11 - 18 = 20$
214294	Evaluate	square root of 3x+1- square root of x+1=2	$\sqrt{3 x + 1} - \sqrt{x + 1} = 2$
214295	Find the Exact Value	cos((2n+1)*90 degrees )	$\cos ((2 n + 1) \cdot 90 °)$
214296	Solve for x	(x-3)/5=0	$\frac{x - 3}{5} = 0$
214297	Simplify	(a-bi)(a+bi)	$(a - b i) (a + b i)$
214298	Rationalize the Denominator	( square root of 2)/(3 square root of 2)	$\frac{\sqrt{2}}{3 \sqrt{2}}$
214299	Solve for b	(2pi)/b=pi/2	$\frac{2 π}{b} = \frac{π}{2}$
214300	Solve for x	(-4cos(x)-6sin(x))^2-20sin(x)^2=16	${(- 4 \cos (x) - 6 \sin (x))}^{2} - 20 \sin^{2} (x) = 16$