Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214201	Simplify	fifth root of 32(x+7)^15	$\sqrt[5]{32 {(x + 7)}^{15}}$
214202	Simplify	3t+7y+t+3y	$3 t + 7 y + t + 3 y$
214203	Find the Exact Value	arccos(csc(pi/2))	$\arccos (\csc (\frac{π}{2}))$
214204	Complete the Square	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
214205	Simplify the Radical Expression	square root of k^7 cube root of k^11	$\sqrt{k^{7}} \sqrt[3]{k^{11}}$
214206	Solve the Inequality for x	3/4x+1/2<=5/4	$\frac{3}{4} x + \frac{1}{2} \leq \frac{5}{4}$
214207	Simplify	(8ab^2)(-2a^4n^5)(1/8a^2b)	$(8 a b^{2}) (- 2 a^{4} n^{5}) (\frac{1}{8} a^{2} b)$
214208	Evaluate	square root of x+3 = square root of 2x-3	$\sqrt{x + 3} = \sqrt{2 x - 3}$
214209	Solve for c	1/a=bc+1/d	$\frac{1}{a} = b c + \frac{1}{d}$
214210	Simplify	-5x^2+10x-1 from 6x^2-x+3	$- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
214211	Evaluate	4/5(x-10)	$\frac{4}{5} (x - 10)$
214212	Multiply	5/20*3.15	$\frac{5}{20} \cdot 3.15$
214213	Graph	\|x+2\|-5=(x-1)(x-3)	$\| x + 2 \| - 5 = (x - 1) (x - 3)$
214214	Solve the System of Equations	2x-4y+2z=4 x+2y-4z=8 3x-6y+3z=8	$2 x - 4 y + 2 z = 4$ $x + 2 y - 4 z = 8$ $3 x - 6 y + 3 z = 8$
214215	Solve for b	8(3b+1)=4(b+3)-9	$8 (3 b + 1) = 4 (b + 3) - 9$
214216	Write the Fraction in Simplest Form	((3y^-4)^2)/(15y^-3)	$\frac{{(3 y^{- 4})}^{2}}{15 y^{- 3}}$
214217	Simplify	((b^x)^y)^z	${({(b^{x})}^{y})}^{z}$
214218	Solve for y	(3-2y)^2=3	${(3 - 2 y)}^{2} = 3$
214219	Simplify	(x^3)/7*9/(8x^3)	$\frac{x^{3}}{7} \cdot \frac{9}{8 x^{3}}$
214220	Multiply	(3x+y^2)^2	${(3 x + y^{2})}^{2}$
214221	Evaluate	(pi*2^2)/2	$\frac{π \cdot 2^{2}}{2}$
214222	Multiply	square root of 3x* square root of 3x	$\sqrt{3 x} \cdot \sqrt{3 x}$
214223	Solve the Inequality for x	-6.5<=(7x+6)/2<=20.5	$- 6.5 \leq \frac{7 x + 6}{2} \leq 20.5$
214224	Find the Inverse	y=-3/7x+5/7	$y = - \frac{3}{7} x + \frac{5}{7}$
214225	Solve the System of Inequalities	y<2x+5 2x-y<=3	$y < 2 x + 5$ $2 x - y \leq 3$
214226	Graph	y=arcsin(2x)	$y = \arcsin (2 x)$
214227	Simplify	11 square root of ab-5 square root of ab+3 square root of ab	$11 \sqrt{a b} - 5 \sqrt{a b} + 3 \sqrt{a b}$
214228	Write the Fraction in Simplest Form	(2w^-1)/((-3w^-3)^4)	$\frac{2 w^{- 1}}{{(- 3 w^{- 3})}^{4}}$
214229	Simplify	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
214230	Find All Complex Solutions	x^3-2x^2+9x-8=10	$x^{3} - 2 x^{2} + 9 x - 8 = 10$
214231	Solve the System of Equations	3x=-12y+15 and x+4y=5	$3 x = - 12 y + 15$ and $x + 4 y = 5$
214232	Find the Roots (Zeros)	y=(2x+5)(x-3)^2	$y = (2 x + 5) {(x - 3)}^{2}$
214233	Find All Complex Solutions	square root of 3x+1-x+3=0	$\sqrt{3 x + 1} - x + 3 = 0$
214234	Evaluate	(2pi)/-4	$\frac{2 π}{- 4}$
214235	Solve the Inequality for x	7x+10>17x	$7 x + 10 > 17 x$
214236	Simplify	i square root of 3*i square root of 6	$i \sqrt{3} \cdot i \sqrt{6}$
214237	Simplify	(x-1)/(4x^2)*(8x)/(x^2-2x+1)	$\frac{x - 1}{4 x^{2}} \cdot \frac{8 x}{x^{2} - 2 x + 1}$
214238	Solve the System of Equations	-2x+y=8 y=(2x)/5-8	$- 2 x + y = 8$ $y = \frac{2 x}{5} - 8$
214239	Graph	y<-x+2 y>3	$y < - x + 2$ $y > 3$
214240	Combine Like Terms	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
214241	Solve the Inequality for s	s/-6>-16	$\frac{s}{- 6} > - 16$
214242	Solve for x	y(x+a)=k(x+z)	$y (x + a) = k (x + z)$
214243	Solve for B	D=ABC for B	$D = A B C$ for $B$
214244	Write in y=mx+b Form	(1,4) and (2,2)	$(1, 4)$ and $(2, 2)$
214245	Evaluate	10^-1+5^0	$10^{- 1} + 5^{0}$
214246	Simplify the Radical Expression	(x^(2/3))^(5/2)	${(x^{\frac{2}{3}})}^{\frac{5}{2}}$
214247	Multiply	(3-x)(3x^2+x-4)	$(3 - x) (3 x^{2} + x - 4)$
214248	Multiply	-2x^3+x+4x^2-3x+1	$- 2 x^{3} + x + 4 x^{2} - 3 x + 1$
214249	Graph	f(x)=1/3 square root of x-2	$f (x) = \frac{1}{3} \sqrt{x - 2}$
214250	Find the LCD	4/(3x) and 5/(6x+18)	$\frac{4}{3 x}$ and $\frac{5}{6 x + 18}$
214251	Simplify	(y^4-3y+7)+(2y^3+2y-2y^4-11)	$(y^{4} - 3 y + 7) + (2 y^{3} + 2 y - 2 y^{4} - 11)$
214252	Solve for x	square root of x+1 = square root of x+9	$\sqrt{x + 1} = \sqrt{x + 9}$
214253	Solve the System of Equations	y=x^2+1 x^2+y^2=1	$y = x^{2} + 1$ $x^{2} + y^{2} = 1$
214254	Factor by Grouping	5mn+25m+3n^3+15n^2	$5 m n + 25 m + 3 n^{3} + 15 n^{2}$
214255	Simplify	( square root of 25)÷( square root of 625)	$\sqrt{25} \div \sqrt{625}$
214256	Simplify	4 square root of 9/25	$4 \sqrt{\frac{9}{25}}$
214257	Divide	(2a^3b^2-10ab^3c)÷2ab^2	$(2 a^{3} b^{2} - 10 a b^{3} c) \div 2 a b^{2}$
214258	Simplify	(x/5-p/10)/p	$\frac{\frac{x}{5} - \frac{p}{10}}{p}$
214259	Simplify	((a-1)/(3a+(a-1)^2)-(1-3a+a^2)/(a^3-1)-1/(a-1))÷((a^2+1)/(a-1))	$(\frac{a - 1}{3 a + {(a - 1)}^{2}} - \frac{1 - 3 a + a^{2}}{a^{3} - 1} - \frac{1}{a - 1}) \div \frac{a^{2} + 1}{a - 1}$
214260	Evaluate	(3^-4*3^-1)/3	$\frac{3^{- 4} \cdot 3^{- 1}}{3}$
214261	Convert to a Decimal	95deg	$95$ degrees
214262	Find the Exact Value	12*12	$12 \cdot 12$
214263	Solve the Inequality for x	-5x^2+3>=-8x-1	$- 5 x^{2} + 3 \geq - 8 x - 1$
214264	Simplify	(cd)^(2/3)(a^(1/4)d)^3	${(c d)}^{\frac{2}{3}} {(a^{\frac{1}{4}} d)}^{3}$
214265	Simplify the Radical Expression	( cube root of 24)/( cube root of 15)	$\frac{\sqrt[3]{24}}{\sqrt[3]{15}}$
214266	Solve the System of Equations	-2x-9y=8 and -5x-8y=-9	$- 2 x - 9 y = 8$ and $- 5 x - 8 y = - 9$
214267	Solve the System of Equations	3x=12-2y 12x+8y-48=0	$3 x = 12 - 2 y$ $12 x + 8 y - 48 = 0$
214268	Solve for x	2 natural log of 4+ natural log of x=3 natural log of 2+ natural log of x+1	$2 \ln (4) + \ln (x) = 3 \ln (2) + \ln (x + 1)$
214269	Simplify	(y^2-3y^3-2+5y)-(7+8y^2-4y+6y^3)	$(y^{2} - 3 y^{3} - 2 + 5 y) - (7 + 8 y^{2} - 4 y + 6 y^{3})$
214270	Simplify	54÷6+2(8-3*4)	$54 \div 6 + 2 (8 - 3 \cdot 4)$
214271	Subtract	(x^2)/(x^2-36)-(x+42)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36} - \frac{x + 42}{x^{2} - 36}$
214272	Write as a Single Logarithm	natural log of x-3 natural log of z+1/2 natural log of y	$\ln (x) - 3 \ln (z) + \frac{1}{2} \ln (y)$
214273	Write with Rational (Fractional) Exponents	seventh root of 4^-10	$\sqrt[7]{4^{- 10}}$
214274	Find the Product	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
214275	Write in Exponential Form	cube root of x- cube root of x^2	$\sqrt[3]{x} - \sqrt[3]{x^{2}}$
214276	Solve the Absolute Value Inequality for x	\|x-3\|=\|x+2\|	$\| x - 3 \| = \| x + 2 \|$
214277	Solve the System of Equations	x+y=5 -5x-4y=-18	$x + y = 5$ $- 5 x - 4 y = - 18$
214278	Solve for b	12+5/3b+11-18=20	$12 + \frac{5}{3} b + 11 - 18 = 20$
214279	Evaluate	square root of 3x+1- square root of x+1=2	$\sqrt{3 x + 1} - \sqrt{x + 1} = 2$
214280	Find the Exact Value	cos((2n+1)*90 degrees )	$\cos ((2 n + 1) \cdot 90 °)$
214281	Solve for x	(x-3)/5=0	$\frac{x - 3}{5} = 0$
214282	Simplify	(a-bi)(a+bi)	$(a - b i) (a + b i)$
214283	Rationalize the Denominator	( square root of 2)/(3 square root of 2)	$\frac{\sqrt{2}}{3 \sqrt{2}}$
214284	Solve for b	(2pi)/b=pi/2	$\frac{2 π}{b} = \frac{π}{2}$
214285	Solve for x	(-4cos(x)-6sin(x))^2-20sin(x)^2=16	${(- 4 \cos (x) - 6 \sin (x))}^{2} - 20 \sin^{2} (x) = 16$
214286	Simplify	square root of 121x^9* fourth root of 81x	$\sqrt{121 x^{9}} \cdot \sqrt[4]{81 x}$
214287	Solve by Substitution	5y=10 x-3y=4	$5 y = 10$ $x - 3 y = 4$
214288	Simplify	((s^-4)/(t^-1))^-2	${(\frac{s^{- 4}}{t^{- 1}})}^{- 2}$
214289	Solve for m	log base 2 of m = log base 2 of m+5- log base 2 of 3	$\log_{2} (m) = \log_{2} (m + 5) - \log_{2} (3)$
214290	Solve the Inequality for x	4x^2-12x+9<=0	$4 x^{2} - 12 x + 9 \leq 0$
214291	Find the Degree, Leading Term, and Leading Coefficient	P(x)=4x^5+9x^4+6x^3-x^2+2x-7	$P (x) = 4 x^{5} + 9 x^{4} + 6 x^{3} - x^{2} + 2 x - 7$
214292	Simplify the Radical Expression	8 square root of 5*5 square root of 10	$8 \sqrt{5} \cdot 5 \sqrt{10}$
214293	Find f(g(x))	f(x)=(x^2-8x+16)/(x+2x) , g(x)=(6x)/(x-4)	$f (x) = \frac{x^{2} - 8 x + 16}{x + 2 x}$ , $g (x) = \frac{(6 x)}{(x - 4)}$
214294	Write in Slope-Intercept Form	(2,-2) and (0,-1)	$(2, - 2)$ and $(0, - 1)$
214295	Evaluate	-2/(-2+1)-1	$\frac{- 2}{- 2 + 1} - 1$
214296	Solve the System of Equations	y=x+2 x-y=-2	$y = x + 2$ $x - y = - 2$
214297	Simplify	3 square root of 12+2 square root of 108-3 square root of 48	$3 \sqrt{12 + 2 \sqrt{108 - 3 \sqrt{48}}}$
214298	Solve the Inequality for h	3/5h>=-3	$\frac{3}{5} h \geq - 3$
214299	Simplify	(32x^4y^3z^4)÷(28x^9y^2z)	$32 x^{4} y^{3} z^{4} \div (28 x^{9} y^{2} z)$
214300	Evaluate	8*2-4÷2+6	$8 \cdot 2 - 4 \div 2 + 6$