Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205301	Divide	(2p^3+2p^2+8p)÷8p	$(2 p^{3} + 2 p^{2} + 8 p) \div 8 p$
205302	Solve for x	square root of x+7 = square root of 4x+44	$\sqrt{x} + 7 = \sqrt{4 x + 44}$
205303	Solve by Factoring	v^3-2v^2-16v=-32	$v^{3} - 2 v^{2} - 16 v = - 32$
205304	Find the Excluded Values	(2a^2+10a)/(3a^2+15a)	$\frac{2 a^{2} + 10 a}{3 a^{2} + 15 a}$
205305	Solve for x	(3x-1)/2=(2x)/3-1	$\frac{3 x - 1}{2} = \frac{2 x}{3} - 1$
205306	Find the Roots (Zeros)	x^3+x^2+x=0	$x^{3} + x^{2} + x = 0$
205307	Simplify	1/( square root of x+ square root of x-5)	$\frac{1}{\sqrt{x} + \sqrt{x - 5}}$
205308	Solve for x	(2x)^(3/4)+2=10	${(2 x)}^{\frac{3}{4}} + 2 = 10$
205309	Evaluate	((-7a^2b^3c^0)/(3a^3b^4c^3))^-4	${(\frac{- 7 a^{2} b^{3} c^{0}}{3 a^{3} b^{4} c^{3}})}^{- 4}$
205310	Simplify	((x-1)^2(x^2-1))/((x-1)^2(x^2-4x-5))	$\frac{{(x - 1)}^{2} (x^{2} - 1)}{{(x - 1)}^{2} (x^{2} - 4 x - 5)}$
205311	Solve the Inequality for x	2x^2-10x+15>=3	$2 x^{2} - 10 x + 15 \geq 3$
205312	Solve for x	7^(-2x^2-6x)=49^(-10x+6)	$7^{- 2 x^{2} - 6 x} = 49^{- 10 x + 6}$
205313	Solve for d	3- square root of d-4=0	$3 - \sqrt{d - 4} = 0$
205314	Simplify	square root of x^7y^7*2 square root of 3x^3y^6	$\sqrt{x^{7} y^{7}} \cdot 2 \sqrt{3 x^{3} y^{6}}$
205315	Simplify	2/5 square root of 75+1/3 square root of 27	$\frac{2}{5} \sqrt{75} + \frac{1}{3} \sqrt{27}$
205316	Write the Fraction in Simplest Form	(12y^9)/((3y^2)^5)	$\frac{12 y^{9}}{{(3 y^{2})}^{5}}$
205317	Graph	y>x+3 y<=-1	$y > x + 3$ $y \leq - 1$
205318	Find the Excluded Values	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
205319	Simplify	2/3x+(-3)+(-2)-1/3x	$\frac{2}{3} x + (- 3) + (- 2) - \frac{1}{3} x$
205320	Evaluate	49^(3x)=343^(2x+1)	$49^{3 x} = 343^{2 x + 1}$
205321	Solve the System of Equations	-x+3y-2z=1 2x-6y+4z=-2 7x-14y+21z=0	$- x + 3 y - 2 z = 1$ $2 x - 6 y + 4 z = - 2$ $7 x - 14 y + 21 z = 0$
205322	Simplify	cube root of (x-5)^6	$\sqrt[3]{{(x - 5)}^{6}}$
205323	Solve by Substitution	y=3x+3 and 2y-2x=6	$y = 3 x + 3$ and $2 y - 2 x = 6$
205324	Evaluate	(36x^4y^5)/((3xy)^2)	$\frac{36 x^{4} y^{5}}{{(3 x y)}^{2}}$
205325	Solve for c	3-15c=-12c+2-17	$3 - 15 c = - 12 c + 2 - 17$
205326	Simplify	fifth root of 10^2* cube root of 10^4	$\sqrt[5]{10^{2}} \cdot \sqrt[3]{10^{4}}$
205327	Find the x and y Intercepts	f(x)=2^(-x)-3	$f (x) = 2^{- x} - 3$
205328	Divide	((45x^4)/(3x+6))÷75x^3	$\frac{45 x^{4}}{3 x + 6} \div 75 x^{3}$
205329	Simplify	(m-n)/(mn)*(2mn)/(mn-m^2)	$\frac{m - n}{m n} \cdot \frac{2 m n}{m n - m^{2}}$
205330	Solve for q	8=2+q	$8 = 2 + q$
205331	Solve for k	2k(-3k+4)+6(k^2+10)=k(4k+8)-2k(2k+5)	$2 k (- 3 k + 4) + 6 (k^{2} + 10) = k (4 k + 8) - 2 k (2 k + 5)$
205332	Simplify	((7y-3x)(5x-1))/((5x^3+x^2)(3x-7y))	$\frac{(7 y - 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$
205333	Factor	x^7y^2-xy^2	$x^{7} y^{2} - x y^{2}$
205334	Multiply	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
205335	Simplify	(2^(12/5)x^2)^(5/3)	${(2^{\frac{12}{5}} x^{2})}^{\frac{5}{3}}$
205336	Find the Exact Value	sec(45 degrees )tan(60 degrees )	$\sec (45 °) \tan (60 °)$
205337	Simplify the Radical Expression	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
205338	Factor	ax^2-ay^2+bx^2-by^2	$a x^{2} - a y^{2} + b x^{2} - b y^{2}$
205339	Determine if True	(cos(x)tan(x)-csc(x)sin(x))/(csc(x)tan(x))=(sin(x)-1)/(sec(x))	$\frac{\cos (x) \tan (x) - \csc (x) \sin (x)}{\csc (x) \tan (x)} = \frac{\sin (x) - 1}{\sec (x)}$
205340	Divide	(7x^3+x^2+x)÷(x^2+1)	$(7 x^{3} + x^{2} + x) \div (x^{2} + 1)$
205341	Solve for x	(1/x)((x-1)/2)=4	$(\frac{1}{x}) (\frac{x - 1}{2}) = 4$
205342	Evaluate	7^2+5(13-7)^2	$7^{2} + 5 {(13 - 7)}^{2}$
205343	Solve the System of Equations	5/3x-2y=-2 -x+y=2	$\frac{5}{3} x - 2 y = - 2$ $- x + y = 2$
205344	Solve for c	-6(11-2c)=7(-2-2c)	$- 6 (11 - 2 c) = 7 (- 2 - 2 c)$
205345	Evaluate	(x^5*x^3)/(x^4)	$\frac{x^{5} \cdot x^{3}}{x^{4}}$
205346	Solve for x	3 square root of x=1	$3 \sqrt{x} = 1$
205347	Solve the Inequality for x	-2<x/3+1<5	$- 2 < \frac{x}{3} + 1 < 5$
205348	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-8x^2+6+x^6+x	$f (x) = - 8 x^{2} + 6 + x^{6} + x$
205349	Solve the Inequality for x	(x^2-36)/(x-6)<=0	$\frac{x^{2} - 36}{x - 6} \leq 0$
205350	Find the Degree, Leading Term, and Leading Coefficient	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
205351	Solve for x	2^(4x)=1/32	$2^{4 x} = \frac{1}{32}$
205352	Find the Roots (Zeros)	f(x) = log base 9 of 4x+3+ log base 9 of x-2	$f (x) = \log_{9} (4 x + 3) + \log_{9} (x - 2)$
205353	Divide Using Synthetic Division	(8x^3+2x^2-5x+1)÷(x-1/2)	$(8 x^{3} + 2 x^{2} - 5 x + 1) \div (x - \frac{1}{2})$
205354	Graph	x>=-2 y>=x-2 x+y<=2	$x \geq - 2$ $y \geq x - 2$ $x + y \leq 2$
205355	Rationalize the Denominator	4/(4+ square root of 2)	$\frac{4}{4 + \sqrt{2}}$
205356	Simplify	(3x^2)/(x+5)+(15x)/(x+5)	$\frac{3 x^{2}}{x + 5} + \frac{15 x}{x + 5}$
205357	Solve for w	-18+18w+16=15w+19	$- 18 + 18 w + 16 = 15 w + 19$
205358	Simplify	1/4x+(5x)/2	$\frac{1}{4} x + \frac{5 x}{2}$
205359	Subtract	(x^2-3x+4)-(x^3+7x-2)	$(x^{2} - 3 x + 4) - (x^{3} + 7 x - 2)$
205360	Simplify	((x^2)^-3)/(x^8)	$\frac{{(x^{2})}^{- 3}}{x^{8}}$
205361	Evaluate	square root of (5- square root of 10)^2	$\sqrt{{(5 - \sqrt{10})}^{2}}$
205362	Simplify	cube root of 2x+-11 cube root of 2x	$\sqrt[3]{2 x} + - 11 \sqrt[3]{2 x}$
205363	Simplify	4 1/3u^5v^3*(3 1/4u^3v^2-v^2+u)	$4 \frac{1}{3} u^{5} v^{3} \cdot (3 \frac{1}{4} u^{3} v^{2} - v^{2} + u)$
205364	Find the Degree, Leading Term, and Leading Coefficient	(x^5)/5+1-x^4+9x^2	$\frac{x^{5}}{5} + 1 - x^{4} + 9 x^{2}$
205365	Multiply	square root of x* fourth root of x	$\sqrt{x} \cdot \sqrt[4]{x}$
205366	Simplify	(1/2y^5)^3(2y^2)^4	${(\frac{1}{2} y^{5})}^{3} {(2 y^{2})}^{4}$
205367	Simplify	cube root of x/(4y)	$\sqrt[3]{\frac{x}{4 y}}$
205368	Graph	f(x)=(\|\|x\|\|+2)/2 ; if 0<=x<6	$f (x) = \frac{\| \| x \| \| + 2}{2}$ ; if $0 \leq x < 6$
205369	Write in Standard Form	11x^2-88x-59=5y^2+60y	$11 x^{2} - 88 x - 59 = 5 y^{2} + 60 y$
205370	Solve by Factoring	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
205371	Graph	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
205372	Graph	(2-x)^2+3	${(2 - x)}^{2} + 3$
205373	Solve for u	69u-12.1-31.3=67u-21.4	$69 u - 12.1 - 31.3 = 67 u - 21.4$
205374	Simplify	square root of 72*2	$\sqrt{72} \cdot 2$
205375	Solve for N	5/12=35/N	$\frac{5}{12} = \frac{35}{N}$
205376	Simplify	(3x-4y)^2-(3x-4y)(3x+4y)	${(3 x - 4 y)}^{2} - (3 x - 4 y) (3 x + 4 y)$
205377	Solve for x	5^(3x^2+3)=25^(12x-21)	$5^{3 x^{2} + 3} = 25^{12 x - 21}$
205378	Solve for n	-7=1+2/3n	$- 7 = 1 + \frac{2}{3} n$
205379	Simplify	2^(2/3)*16^(2/3)	$2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}$
205380	Simplify	(4^-1+2^-3)^-2	${(4^{- 1} + 2^{- 3})}^{- 2}$
205381	Evaluate	5(x-134)=3(x-60)	$5 (x - 134) = 3 (x - 60)$
205382	Solve for x	4(3x-2)=2(x-5(x-6))	$4 (3 x - 2) = 2 (x - 5 (x - 6))$
205383	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5x^2+7x-3	$f (x) = 5 x^{2} + 7 x - 3$
205384	Evaluate	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
205385	Solve for h	-15h-17+14=15-13h	$- 15 h - 17 + 14 = 15 - 13 h$
205386	Solve for m	m+4>9	$m + 4 > 9$
205387	Simplify	((x^2+2x+1)/(x^2-3x-18))/((x^2-1)/(x^2-7x+6))	$\frac{\frac{x^{2} + 2 x + 1}{x^{2} - 3 x - 18}}{\frac{x^{2} - 1}{x^{2} - 7 x + 6}}$
205388	Solve the System of Equations	3x+y=1/3 2x-3y=8/3	$3 x + y = \frac{1}{3}$ $2 x - 3 y = \frac{8}{3}$
205389	Evaluate	natural log of \|e\|	$\ln (\| e \|)$
205390	Graph	\|2x\|=\|x+3\|	$\| 2 x \| = \| x + 3 \|$
205391	Divide Using Long Polynomial Division	(5x^4+2x^3+7x^2+6x-24)÷(x^2+3)	$(5 x^{4} + 2 x^{3} + 7 x^{2} + 6 x - 24) \div (x^{2} + 3)$
205392	Divide	(12x^2-4x-8)/(4x)	$\frac{12 x^{2} - 4 x - 8}{4 x}$
205393	Find the Product	(3+ square root of 5)(3- square root of 5)	$(3 + \sqrt{5}) (3 - \sqrt{5})$
205394	Convert to Radical Form	(3x^2+5)^(-2/5)	${(3 x^{2} + 5)}^{- \frac{2}{5}}$
205395	Simplify	(20x^2+30x)/(4x^4+6x^3)	$\frac{20 x^{2} + 30 x}{4 x^{4} + 6 x^{3}}$
205396	Find the x and y Intercepts	y=x^2(x-1)	$y = x^{2} (x - 1)$
205397	Find the Degree, Leading Term, and Leading Coefficient	-7x^2-2+1/4x^3	$- 7 x^{2} - 2 + \frac{1}{4} x^{3}$
205398	Convert to Radical Form	1/((5x)^(-1/4))	$\frac{1}{{(5 x)}^{- \frac{1}{4}}}$
205399	Determine if (5,4) is a Solution	x-y>2 , (5,4)	$x - y > 2$ , $(5, 4)$
205400	Evaluate	4*1+3^2-6÷2	$4 \times 1 + 3^{2} - 6 \div 2$