Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18101	Find the Domain	f(x)=12/( square root of x+4)-2	$f (x) = \frac{12}{\sqrt{x + 4}} - 2$
18102	Simplify	fifth root of 32(x+7)^15	$\sqrt[5]{32 {(x + 7)}^{15}}$
18103	Simplify	3t+7y+t+3y	$3 t + 7 y + t + 3 y$
18104	Find the Exact Value	arccos(csc(pi/2))	$\arccos (\csc (\frac{π}{2}))$
18105	Complete the Square	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
18106	Simplify the Radical Expression	square root of k^7 cube root of k^11	$\sqrt{k^{7}} \sqrt[3]{k^{11}}$
18107	Solve the Inequality for x	3/4x+1/2<=5/4	$\frac{3}{4} x + \frac{1}{2} \leq \frac{5}{4}$
18108	Find the Antiderivative	3cos(x)-x	$3 \cos (x) - x$
18109	Simplify	(8ab^2)(-2a^4n^5)(1/8a^2b)	$(8 a b^{2}) (- 2 a^{4} n^{5}) (\frac{1}{8} a^{2} b)$
18110	Evaluate	square root of x+3 = square root of 2x-3	$\sqrt{x + 3} = \sqrt{2 x - 3}$
18111	Solve for c	1/a=bc+1/d	$\frac{1}{a} = b c + \frac{1}{d}$
18112	Simplify	-5x^2+10x-1 from 6x^2-x+3	$- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
18113	Evaluate	4/5(x-10)	$\frac{4}{5} (x - 10)$
18114	Multiply	5/20*3.15	$\frac{5}{20} \cdot 3.15$
18115	Graph	\|x+2\|-5=(x-1)(x-3)	$\| x + 2 \| - 5 = (x - 1) (x - 3)$
18116	Solve the Function Operation	f(x)=2x+1 g(x)=x^2+5x+10 Find: g(f(x))	$f (x) = 2 x + 1$ $g (x) = x^{2} + 5 x + 10$ Find: $g (f (x))$
18117	Solve the System of Equations	2x-4y+2z=4 x+2y-4z=8 3x-6y+3z=8	$2 x - 4 y + 2 z = 4$ $x + 2 y - 4 z = 8$ $3 x - 6 y + 3 z = 8$
18118	Solve for b	8(3b+1)=4(b+3)-9	$8 (3 b + 1) = 4 (b + 3) - 9$
18119	Write the Fraction in Simplest Form	((3y^-4)^2)/(15y^-3)	$\frac{{(3 y^{- 4})}^{2}}{15 y^{- 3}}$
18120	Find the Other Trig Values in Quadrant I	cos(60 degrees )=1/2	$\cos (60 °) = \frac{1}{2}$
18121	Simplify	((b^x)^y)^z	${({(b^{x})}^{y})}^{z}$
18122	Solve for y	(3-2y)^2=3	${(3 - 2 y)}^{2} = 3$
18123	Simplify	(x^3)/7*9/(8x^3)	$\frac{x^{3}}{7} \cdot \frac{9}{8 x^{3}}$
18124	Multiply	(3x+y^2)^2	${(3 x + y^{2})}^{2}$
18125	Evaluate	(pi*2^2)/2	$\frac{π \cdot 2^{2}}{2}$
18126	Multiply	square root of 3x* square root of 3x	$\sqrt{3 x} \cdot \sqrt{3 x}$
18127	Solve the Inequality for x	-6.5<=(7x+6)/2<=20.5	$- 6.5 \leq \frac{7 x + 6}{2} \leq 20.5$
18128	Find the Inverse	y=-3/7x+5/7	$y = - \frac{3}{7} x + \frac{5}{7}$
18129	Find the Asymptotes	-25x^2+200x+9y^2-90y-400=0	$- 25 x^{2} + 200 x + 9 y^{2} - 90 y - 400 = 0$
18130	Solve the System of Inequalities	y<2x+5 2x-y<=3	$y < 2 x + 5$ $2 x - y \leq 3$
18131	Graph	y=arcsin(2x)	$y = \arcsin (2 x)$
18132	Simplify	11 square root of ab-5 square root of ab+3 square root of ab	$11 \sqrt{a b} - 5 \sqrt{a b} + 3 \sqrt{a b}$
18133	Write the Fraction in Simplest Form	(2w^-1)/((-3w^-3)^4)	$\frac{2 w^{- 1}}{{(- 3 w^{- 3})}^{4}}$
18134	Simplify	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
18135	Find All Complex Solutions	x^3-2x^2+9x-8=10	$x^{3} - 2 x^{2} + 9 x - 8 = 10$
18136	Evaluate the Integral	integral from -2 to 2 of (x^7+k) with respect to x=16	$\int_{- 2}^{2} (x^{7} + k) d x = 16$
18137	Solve the System of Equations	3x=-12y+15 and x+4y=5	$3 x = - 12 y + 15$ and $x + 4 y = 5$
18138	Find the Roots (Zeros)	y=(2x+5)(x-3)^2	$y = (2 x + 5) {(x - 3)}^{2}$
18139	Find the Antiderivative	f(x)=x square root of x	$f (x) = x \sqrt{x}$
18140	Find All Complex Solutions	square root of 3x+1-x+3=0	$\sqrt{3 x + 1} - x + 3 = 0$
18141	Add	(x^2-3x-3)+(2x^2+7x-2)	$(x^{2} - 3 x - 3) + (2 x^{2} + 7 x - 2)$
18142	Find the Slope	(-14,16) and (18,0)	$(- 14, 16)$ and $(18, 0)$
18143	Evaluate	(2pi)/-4	$\frac{2 π}{- 4}$
18144	Solve the Inequality for x	7x+10>17x	$7 x + 10 > 17 x$
18145	Simplify	i square root of 3*i square root of 6	$i \sqrt{3} \cdot i \sqrt{6}$
18146	Simplify	(x-1)/(4x^2)*(8x)/(x^2-2x+1)	$\frac{x - 1}{4 x^{2}} \cdot \frac{8 x}{x^{2} - 2 x + 1}$
18147	Solve the System of Equations	-2x+y=8 y=(2x)/5-8	$- 2 x + y = 8$ $y = \frac{2 x}{5} - 8$
18148	Graph	y<-x+2 y>3	$y < - x + 2$ $y > 3$
18149	Combine Like Terms	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
18150	Solve the Inequality for s	s/-6>-16	$\frac{s}{- 6} > - 16$
18151	Solve for x	y(x+a)=k(x+z)	$y (x + a) = k (x + z)$
18152	Solve for B	D=ABC for B	$D = A B C$ for $B$
18153	Write in y=mx+b Form	(1,4) and (2,2)	$(1, 4)$ and $(2, 2)$
18154	Evaluate	10^-1+5^0	$10^{- 1} + 5^{0}$
18155	Simplify the Radical Expression	(x^(2/3))^(5/2)	${(x^{\frac{2}{3}})}^{\frac{5}{2}}$
18156	Determine if Continuous	f(x)=(x^2-9)/(x+3) if x!=-3; -6 if x=-3	$f (x) = {\begin{cases} \frac{x^{2} - 9}{x + 3} & x \neq - 3 \\ - 6 & x = - 3 \end{cases}$
18157	Multiply	(3-x)(3x^2+x-4)	$(3 - x) (3 x^{2} + x - 4)$
18158	Find the Coterminal Angle	8pi	$8 π$
18159	Multiply	-2x^3+x+4x^2-3x+1	$- 2 x^{3} + x + 4 x^{2} - 3 x + 1$
18160	Graph	f(x)=1/3 square root of x-2	$f (x) = \frac{1}{3} \sqrt{x - 2}$
18161	Find the LCD	4/(3x) and 5/(6x+18)	$\frac{4}{3 x}$ and $\frac{5}{6 x + 18}$
18162	Simplify	(y^4-3y+7)+(2y^3+2y-2y^4-11)	$(y^{4} - 3 y + 7) + (2 y^{3} + 2 y - 2 y^{4} - 11)$
18163	Solve for x	square root of x+1 = square root of x+9	$\sqrt{x + 1} = \sqrt{x + 9}$
18164	Solve the System of Equations	y=x^2+1 x^2+y^2=1	$y = x^{2} + 1$ $x^{2} + y^{2} = 1$
18165	Factor by Grouping	5mn+25m+3n^3+15n^2	$5 m n + 25 m + 3 n^{3} + 15 n^{2}$
18166	Simplify	( square root of 25)÷( square root of 625)	$\sqrt{25} \div \sqrt{625}$
18167	Simplify	4 square root of 9/25	$4 \sqrt{\frac{9}{25}}$
18168	Divide	(2a^3b^2-10ab^3c)÷2ab^2	$(2 a^{3} b^{2} - 10 a b^{3} c) \div 2 a b^{2}$
18169	Simplify	(x/5-p/10)/p	$\frac{\frac{x}{5} - \frac{p}{10}}{p}$
18170	Simplify	((a-1)/(3a+(a-1)^2)-(1-3a+a^2)/(a^3-1)-1/(a-1))÷((a^2+1)/(a-1))	$(\frac{a - 1}{3 a + {(a - 1)}^{2}} - \frac{1 - 3 a + a^{2}}{a^{3} - 1} - \frac{1}{a - 1}) \div \frac{a^{2} + 1}{a - 1}$
18171	Evaluate	(3^-4*3^-1)/3	$\frac{3^{- 4} \cdot 3^{- 1}}{3}$
18172	Convert to a Decimal	95deg	$95$ degrees
18173	Find the Exact Value	12*12	$12 \cdot 12$
18174	Solve the Function Operation	f(x)=2x^2-7x-7 g(x)=x+1 Find: f(g(x))	$f (x) = 2 x^{2} - 7 x - 7$ $g (x) = x + 1$ Find: $f (g (x))$
18175	Evaluate the Integral	integral from 1/12 to 1/4 of csc(2pit)cot(2pit) with respect to t	$\int_{\frac{1}{12}}^{\frac{1}{4}} \csc (2 π t) \cot (2 π t) d t$
18176	Solve the Inequality for x	-5x^2+3>=-8x-1	$- 5 x^{2} + 3 \geq - 8 x - 1$
18177	Simplify	(cd)^(2/3)(a^(1/4)d)^3	${(c d)}^{\frac{2}{3}} {(a^{\frac{1}{4}} d)}^{3}$
18178	Simplify the Radical Expression	( cube root of 24)/( cube root of 15)	$\frac{\sqrt[3]{24}}{\sqrt[3]{15}}$
18179	Solve the System of Equations	-2x-9y=8 and -5x-8y=-9	$- 2 x - 9 y = 8$ and $- 5 x - 8 y = - 9$
18180	Add	2x^3+4x-6 3x^3-8x+7	$2 x^{3} + 4 x - 6$ $3 x^{3} - 8 x + 7$
18181	Solve the System of Equations	3x=12-2y 12x+8y-48=0	$3 x = 12 - 2 y$ $12 x + 8 y - 48 = 0$
18182	Solve for x	2 natural log of 4+ natural log of x=3 natural log of 2+ natural log of x+1	$2 \ln (4) + \ln (x) = 3 \ln (2) + \ln (x + 1)$
18183	Find the Derivative of the Integral	integral of (x-1)(x+a) with respect to x	$\int (x - 1) (x + a) d x$
18184	Simplify	(y^2-3y^3-2+5y)-(7+8y^2-4y+6y^3)	$(y^{2} - 3 y^{3} - 2 + 5 y) - (7 + 8 y^{2} - 4 y + 6 y^{3})$
18185	Simplify	54÷6+2(8-3*4)	$54 \div 6 + 2 (8 - 3 \cdot 4)$
18186	Find the Slope	(-7,7) and (3,-5)	$(- 7, 7)$ and $(3, - 5)$
18187	Subtract	(x^2)/(x^2-36)-(x+42)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36} - \frac{x + 42}{x^{2} - 36}$
18188	Write as a Single Logarithm	natural log of x-3 natural log of z+1/2 natural log of y	$\ln (x) - 3 \ln (z) + \frac{1}{2} \ln (y)$
18189	Find the Derivative - d/dx	y=(x-6)/(4x)	$y = \frac{x - 6}{4 x}$
18190	Write with Rational (Fractional) Exponents	seventh root of 4^-10	$\sqrt[7]{4^{- 10}}$
18191	Find the Product	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
18192	Write in Exponential Form	cube root of x- cube root of x^2	$\sqrt[3]{x} - \sqrt[3]{x^{2}}$
18193	Solve the Absolute Value Inequality for x	\|x-3\|=\|x+2\|	$\| x - 3 \| = \| x + 2 \|$
18194	Solve the System of Equations	x+y=5 -5x-4y=-18	$x + y = 5$ $- 5 x - 4 y = - 18$
18195	Solve for b	12+5/3b+11-18=20	$12 + \frac{5}{3} b + 11 - 18 = 20$
18196	Solve the Function Operation	Given g(x)=-x+4 ; find g(5)	Given $g (x) = - x + 4$ ; find $g (5)$
18197	Evaluate	square root of 3x+1- square root of x+1=2	$\sqrt{3 x + 1} - \sqrt{x + 1} = 2$
18198	Find the Exact Value	cos((2n+1)*90 degrees )	$\cos ((2 n + 1) \cdot 90 °)$
18199	Solve for x	(x-3)/5=0	$\frac{x - 3}{5} = 0$
18200	Simplify	(a-bi)(a+bi)	$(a - b i) (a + b i)$