Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223101	Solve for y	8(2y+5)=12y-(2y+14)	$8 (2 y + 5) = 12 y - (2 y + 14)$
223102	Graph	1/4x-2<-1 1/2	$\frac{1}{4} x - 2 < - 1 \frac{1}{2}$
223103	Simplify	(1^16)^(2/3)	${(1^{16})}^{\frac{2}{3}}$
223104	Simplify	14ab*1/(21b^3)	$14 a b \cdot \frac{1}{21 b^{3}}$
223105	Write the Fraction in Simplest Form	((3t^-1)^-3)/(4t^7j)	$\frac{{(3 t^{- 1})}^{- 3}}{4 t^{7} j}$
223106	Solve for k	-11=7+2/3k	$- 11 = 7 + \frac{2}{3} k$
223107	Solve for x	-2(5x-1)-3=-10x	$- 2 (5 x - 1) - 3 = - 10 x$
223108	Evaluate	8*6+(12-4)/2	$8 \cdot 6 + \frac{(12 - 4)}{2}$
223109	Find the LCD	7/(2x) and 5/(4x+4)	$\frac{7}{2 x}$ and $\frac{5}{4 x + 4}$
223110	Solve by Substitution	x=4-5y and 2x+10y=8	$x = 4 - 5 y$ and $2 x + 10 y = 8$
223111	Write in Standard Form	(2x^2-7x-1)(3x^2+x-1)	$(2 x^{2} - 7 x - 1) (3 x^{2} + x - 1)$
223112	Solve the Rational Equation for x	square root of 6x+5 = square root of 2x+10	$\sqrt{6 x + 5} = \sqrt{2 x + 10}$
223113	Simplify	(8u^2-12u^3v)/(20u^3)	$\frac{8 u^{2} - 12 u^{3} v}{20 u^{3}}$
223114	Solve for x	(x-1/2)(2x^2-2x-12)>=0	$(x - \frac{1}{2}) (2 x^{2} - 2 x - 12) \geq 0$
223115	Simplify	5c+1/2(3/4-2/3c)	$5 c + \frac{1}{2} (\frac{3}{4} - \frac{2}{3} c)$
223116	Solve for x	5-2(x-7)=x+1+3x	$5 - 2 (x - 7) = x + 1 + 3 x$
223117	Simplify	y/x-1/(y^2)	$\frac{y}{x} - \frac{1}{y^{2}}$
223118	Simplify	square root of 1 4/5* square root of 0.2	$\sqrt{1 \frac{4}{5}} \cdot \sqrt{0.2}$
223119	Solve the System of Inequalities	r/3<-6 OR 3r+1>100	$\frac{r}{3} < - 6$ OR $3 r + 1 > 100$
223120	Simplify	(3/7m-3+4n)+(2/7m-2n+6)	$(\frac{3}{7} m - 3 + 4 n) + (\frac{2}{7} m - 2 n + 6)$
223121	Evaluate	(cot(theta))/(tan(theta))	$\frac{\cot (θ)}{\tan (θ)}$
223122	Solve the System of Equations	-2x+y=-8 and 4x-6y=-24	$- 2 x + y = - 8$ and $4 x - 6 y = - 24$
223123	Find the LCD	1/(3x) , 2/x , 3/7	$\frac{1}{3 x}$ , $\frac{2}{x}$ , $\frac{3}{7}$
223124	Simplify the Radical Expression	square root of 24x* square root of 18y* square root of 15y	$\sqrt{24 x} \cdot \sqrt{18 y} \cdot \sqrt{15 y}$
223125	Solve for a	4(2a+2)=8(2-3a)	$4 (2 a + 2) = 8 (2 - 3 a)$
223126	Subtract	(2x+7)/(x-5)-5/(x^2-10x+25)	$\frac{2 x + 7}{x - 5} - \frac{5}{x^{2} - 10 x + 25}$
223127	Subtract	4x^2+2-2x^2-1	$4 x^{2} + 2 - 2 x^{2} - 1$
223128	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+9x^2+14x+7 is divided by x+1	Use the long division method to find the result when $2 x^{3} + 9 x^{2} + 14 x + 7$ is divided by $x + 1$
223129	Solve for x	(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2	${(x^{2} + y^{2})}^{2} = {(x^{2} - y^{2})}^{2} + {(2 x y)}^{2}$
223130	Evaluate Using the Given Value	What is the value of y when x=-2 in the equation y=3x^3-4 ?	What is the value of $y$ when $x = - 2$ in the equation $y = 3 x^{3} - 4$ ?
223131	Solve for x	-3+7x-9+8x=54	$- 3 + 7 x - 9 + 8 x = 54$
223132	Solve for x	-2x-6=-2^x-6	$- 2 x - 6 = - 2^{x} - 6$
223133	Simplify	(4x^4+4)/(x^2+1)-8/(x^2+1)	$\frac{4 x^{4} + 4}{x^{2} + 1} - \frac{8}{x^{2} + 1}$
223134	Simplify the Radical Expression	-1/2(-5/6+1/3)	$- \frac{1}{2} (- \frac{5}{6} + \frac{1}{3})$
223135	Divide	(-1 1/4)÷(4/7)	$- 1 \frac{1}{4} \div \frac{4}{7}$
223136	Write the Fraction in Simplest Form	(3 2/3)(3 1/3)	$(3 \frac{2}{3}) (3 \frac{1}{3})$
223137	Simplify	(3y^2)/( square root of 20y^5)	$\frac{3 y^{2}}{\sqrt{20 y^{5}}}$
223138	Simplify	( fourth root of 2^4)/( fourth root of 2^8)	$\frac{\sqrt[4]{2^{4}}}{\sqrt[4]{2^{8}}}$
223139	Find the Degree	7a^2b+3b^2-a^2b	$7 a^{2} b + 3 b^{2} - a^{2} b$
223140	Solve for x	cos(2x)=3cos(x)-2	$\cos (2 x) = 3 \cos (x) - 2$
223141	Simplify	( square root of 18)/(2i square root of 6)	$\frac{\sqrt{18}}{2 i \sqrt{6}}$
223142	Simplify	square root of 18x* square root of 32x	$\sqrt{18 x} \cdot \sqrt{32 x}$
223143	Divide	(3.78*10^9)÷14 , 0	$(3.78 \times 10^{9}) \div 14$ , $0$
223144	Factor	1/(x^2+x)	$\frac{1}{x^{2} + x}$
223145	Solve for x	9/(2x)-5/6=-13/(6x)	$\frac{9}{2 x} - \frac{5}{6} = - \frac{13}{6 x}$
223146	Solve for r	square root of r=5	$\sqrt{r} = 5$
223147	Simplify	(b^-1b^-1)/(b^2b)	$\frac{b^{- 1} \cdot b^{- 1}}{b^{2} \cdot b}$
223148	Solve for x	-2\|x+3\|<-8	$- 2 \| x + 3 \| < - 8$
223149	Graph	6-2(x-4)<5(1-x)	$6 - 2 (x - 4) < 5 (1 - x)$
223150	Evaluate	natural log of (e)^2	$\ln ({(e)}^{2})$
223151	Evaluate	(x^3x^-4yy)/1	$\frac{x^{3} x^{- 4} y \cdot y}{1}$
223152	Find the Quotient	(x^2+6x+9)/(3x)	$\frac{x^{2} + 6 x + 9}{3 x}$
223153	Simplify	4 fourth root of 64	$4 \sqrt[4]{64}$
223154	Solve the Inequality for t	t+6>-4	$t + 6 > - 4$
223155	Simplify	sin(theta)-tan(theta)cos(theta)+cos(pi/2-theta)	$\sin (θ) - \tan (θ) \cos (θ) + \cos (\frac{π}{2} - θ)$
223156	Simplify the Radical Expression	(6 cube root of 16-10 cube root of 32)÷2 cube root of 2	$(6 \sqrt[3]{16} - 10 \sqrt[3]{32}) \div 2 \sqrt[3]{2}$
223157	Combine Like Terms	-3/4x-1/3+7/8x-1/2	$- \frac{3}{4} x - \frac{1}{3} + \frac{7}{8} x - \frac{1}{2}$
223158	Simplify	(-(7a^2b^3c^0)/(3a^3b^4c^3))^-4	${(- \frac{7 a^{2} b^{3} c^{0}}{3 a^{3} b^{4} c^{3}})}^{- 4}$
223159	Solve for p	\|10p-4\|<34	$\| 10 p - 4 \| < 34$
223160	Solve for y	3^(6y)>5^(y+2)	$3^{6 y} > 5^{y + 2}$
223161	Rationalize the Denominator	( cube root of 12ab^3c^2)/( cube root of 10a^3bc)	$\frac{\sqrt[3]{12 a b^{3} c^{2}}}{\sqrt[3]{10 a^{3} b c}}$
223162	Simplify	cube root of x/(y^2)	$\sqrt[3]{\frac{x}{y^{2}}}$
223163	Solve the Inequality for x	2(x+6)<=2x+12	$2 (x + 6) \leq 2 x + 12$
223164	Simplify	(2x)/(x^2-5x-50)(x^2-25)/(x+10)(600x-6x^3)/(5-x)	$\frac{2 x}{x^{2} - 5 x - 50} \cdot \frac{x^{2} - 25}{x + 10} \cdot \frac{600 x - 6 x^{3}}{5 - x}$
223165	Write in Standard Form	(6x^3+3x^2+3)+(2x^3-5x+1)	$(6 x^{3} + 3 x^{2} + 3) + (2 x^{3} - 5 x + 1)$
223166	Factor	-20a-8+12b	$- 20 a - 8 + 12 b$
223167	Simplify the Radical Expression	3/4 square root of 3/2	$\frac{3}{4} \sqrt{\frac{3}{2}}$
223168	Simplify	-5 square root of 2m^6*2 square root of 32m^2	$- 5 \sqrt{2 m^{6}} \cdot 2 \sqrt{32 m^{2}}$
223169	Simplify	((3x^3y^0)/(x^-2))^4	${(\frac{3 x^{3} y^{0}}{x^{- 2}})}^{4}$
223170	Evaluate	2/5ab^2-16a+3/4ab^2-6/5a^2b+12a-3/5a^2b	$\frac{2}{5} a b^{2} - 16 a + \frac{3}{4} a b^{2} - \frac{6}{5} a^{2} b + 12 a - \frac{3}{5} a^{2} b$
223171	Simplify	((9a^3b^7)^4)^0	${({(9 a^{3} b^{7})}^{4})}^{0}$
223172	Simplify	-4c^37d^22c^-2	$- 4 c^{3} \cdot 7 d^{2} \cdot 2 c^{- 2}$
223173	Simplify	(4 square root of a)( cube root of a^2)	$(4 \sqrt{a}) (\sqrt[3]{a^{2}})$
223174	Solve for x	x+1 4/5=(4+5x)/5	$x + 1 \frac{4}{5} = \frac{4 + 5 x}{5}$
223175	Find the Exact Value	pi*10^2	$π \cdot 10^{2}$
223176	Write in Standard Form	y=2(x^2-2)^2	$y = 2 {(x^{2} - 2)}^{2}$
223177	Find the Product	50+10*0+7+2	$50 + 10 \cdot 0 + 7 + 2$
223178	Evaluate	(10x/6)(10x/8)=10^10	$(10 \frac{x}{6}) (10 \frac{x}{8}) = 10^{10}$
223179	Graph	(2x)/3+1/2>x-5	$\frac{2 x}{3} + \frac{1}{2} > x - 5$
223180	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-10x^3+13x^2-23x+12 is divided by x-4	Use synthetic division to find the result when $2 x^{4} - 10 x^{3} + 13 x^{2} - 23 x + 12$ is divided by $x - 4$
223181	Evaluate	-10 cube root of 2(-4)	$- 10 \sqrt[3]{2 (- 4)}$
223182	Solve for d	d=( cube root of 70)^3	$d = {(\sqrt[3]{70})}^{3}$
223183	Find the Quotient	(-10x^2+4x^3+3)÷(x^2-2x+1)	$(- 10 x^{2} + 4 x^{3} + 3) \div (x^{2} - 2 x + 1)$
223184	Find the General Form of the Line	y+5=-2(x-4)	$y + 5 = - 2 (x - 4)$
223185	Solve for x	(5x-4)/2=0	$\frac{5 x - 4}{2} = 0$
223186	Simplify	(7^36)/(9^24)	$\frac{7^{36}}{9^{24}}$
223187	Simplify the Radical Expression	(3- square root of 7)/(3- square root of 5)	$\frac{3 - \sqrt{7}}{3 - \sqrt{5}}$
223188	Solve the Inequality for x	5x^2+22x<=6x-3	$5 x^{2} + 22 x \leq 6 x - 3$
223189	Graph	slope 2/3	slope $\frac{2}{3}$
223190	Solve the System of Equations	2x+y=0 5x+3y=2	$2 x + y = 0$ $5 x + 3 y = 2$
223191	Simplify	( square root of 8- square root of 12)/( square root of 2- square root of 12)	$\frac{\sqrt{8} - \sqrt{12}}{\sqrt{2} - \sqrt{12}}$
223192	Simplify	(6a-2b^2-a)+(b-3+9a^2)	$(6 a - 2 b^{2} - a) + (b - 3 + 9 a^{2})$
223193	Rationalize the Denominator	(5 square root of 56)/( square root of 21)	$\frac{5 \sqrt{56}}{\sqrt{21}}$
223194	Solve for x	natural log of x+1- natural log of x-2 = natural log of x^2	$\ln (x + 1) - \ln (x - 2) = \ln (x^{2})$
223195	Evaluate	tan(x)+cot(x)=sec(x)csc(x)	$\tan (x) + \cot (x) = \sec (x) \csc (x)$
223196	Write as a Single Logarithm	2 log of x+3 log of y- log of 4+3 log of w	$2 \log (x) + 3 \log (y) - \log (4) + 3 \log (w)$
223197	Simplify	square root of x^3+x^2	$\sqrt{x^{3} + x^{2}}$
223198	Simplify	2x^2(x^3-5)-x(x^4-3x)	$2 x^{2} (x^{3} - 5) - x (x^{4} - 3 x)$
223199	Solve for x	cos(x/2)=1/2	$\cos (\frac{x}{2}) = \frac{1}{2}$
223200	Simplify	(5x^2y^-3)/(a^-3b^4)	$\frac{5 x^{2} y^{- 3}}{a^{- 3} b^{4}}$