Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205301	Simplify	7x^3 cube root of 8x^11y^6	$7 x^{3} \sqrt[3]{8 x^{11} y^{6}}$
205302	Simplify	1/22/( square root of 3)	$\frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
205303	Find the y-intercept	y=x^2	$y = x^{2}$
205304	Solve the System of Equations	y=-2x-2 7y-49=-49x	$y = - 2 x - 2$ $7 y - 49 = - 49 x$
205305	Evaluate	80÷((4^2)÷(2/5))+3.75	$80 \div (4^{2} \div \frac{2}{5}) + 3.75$
205306	Find the Holes in the Graph	(x-4)/(-4x-16)	$\frac{x - 4}{- 4 x - 16}$
205307	Evaluate	(2x^3y^-3)^-2	${(2 x^{3} y^{- 3})}^{- 2}$
205308	Solve by Substitution	2x-3=y+5x^2 y=-3x-3	$2 x - 3 = y + 5 x^{2}$ $y = - 3 x - 3$
205309	Solve the Inequality for x	2^(3x+8)>=8	$2^{3 x + 8} \geq 8$
205310	Write in Standard Form	5-y-1/2x=0	$5 - y - \frac{1}{2} x = 0$
205311	Solve the Inequality for b	1/2b+2<=8	$\frac{1}{2} b + 2 \leq 8$
205312	Solve for x	1/5x-1/6(x-5)=6x	$\frac{1}{5} x - \frac{1}{6} (x - 5) = 6 x$
205313	Solve for x	(3x+5)/x-(x+7)/(5x)=4	$\frac{3 x + 5}{x} - \frac{x + 7}{5 x} = 4$
205314	Solve for x	-4 square root of 43-3x+18=-2	$- 4 \sqrt{43 - 3 x} + 18 = - 2$
205315	Simplify	x/25>5	$\frac{x}{25} > 5$
205316	Divide	(2p^3+2p^2+8p)÷8p	$(2 p^{3} + 2 p^{2} + 8 p) \div 8 p$
205317	Solve for x	square root of x+7 = square root of 4x+44	$\sqrt{x} + 7 = \sqrt{4 x + 44}$
205318	Solve by Factoring	v^3-2v^2-16v=-32	$v^{3} - 2 v^{2} - 16 v = - 32$
205319	Find the Excluded Values	(2a^2+10a)/(3a^2+15a)	$\frac{2 a^{2} + 10 a}{3 a^{2} + 15 a}$
205320	Solve for x	(3x-1)/2=(2x)/3-1	$\frac{3 x - 1}{2} = \frac{2 x}{3} - 1$
205321	Find the Roots (Zeros)	x^3+x^2+x=0	$x^{3} + x^{2} + x = 0$
205322	Simplify	1/( square root of x+ square root of x-5)	$\frac{1}{\sqrt{x} + \sqrt{x - 5}}$
205323	Solve for x	(2x)^(3/4)+2=10	${(2 x)}^{\frac{3}{4}} + 2 = 10$
205324	Evaluate	((-7a^2b^3c^0)/(3a^3b^4c^3))^-4	${(\frac{- 7 a^{2} b^{3} c^{0}}{3 a^{3} b^{4} c^{3}})}^{- 4}$
205325	Simplify	((x-1)^2(x^2-1))/((x-1)^2(x^2-4x-5))	$\frac{{(x - 1)}^{2} (x^{2} - 1)}{{(x - 1)}^{2} (x^{2} - 4 x - 5)}$
205326	Solve the Inequality for x	2x^2-10x+15>=3	$2 x^{2} - 10 x + 15 \geq 3$
205327	Solve for x	7^(-2x^2-6x)=49^(-10x+6)	$7^{- 2 x^{2} - 6 x} = 49^{- 10 x + 6}$
205328	Solve for d	3- square root of d-4=0	$3 - \sqrt{d - 4} = 0$
205329	Simplify	square root of x^7y^7*2 square root of 3x^3y^6	$\sqrt{x^{7} y^{7}} \cdot 2 \sqrt{3 x^{3} y^{6}}$
205330	Simplify	2/5 square root of 75+1/3 square root of 27	$\frac{2}{5} \sqrt{75} + \frac{1}{3} \sqrt{27}$
205331	Write the Fraction in Simplest Form	(12y^9)/((3y^2)^5)	$\frac{12 y^{9}}{{(3 y^{2})}^{5}}$
205332	Graph	y>x+3 y<=-1	$y > x + 3$ $y \leq - 1$
205333	Find the Excluded Values	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
205334	Simplify	2/3x+(-3)+(-2)-1/3x	$\frac{2}{3} x + (- 3) + (- 2) - \frac{1}{3} x$
205335	Evaluate	49^(3x)=343^(2x+1)	$49^{3 x} = 343^{2 x + 1}$
205336	Solve the System of Equations	-x+3y-2z=1 2x-6y+4z=-2 7x-14y+21z=0	$- x + 3 y - 2 z = 1$ $2 x - 6 y + 4 z = - 2$ $7 x - 14 y + 21 z = 0$
205337	Simplify	cube root of (x-5)^6	$\sqrt[3]{{(x - 5)}^{6}}$
205338	Solve by Substitution	y=3x+3 and 2y-2x=6	$y = 3 x + 3$ and $2 y - 2 x = 6$
205339	Evaluate	(36x^4y^5)/((3xy)^2)	$\frac{36 x^{4} y^{5}}{{(3 x y)}^{2}}$
205340	Solve for c	3-15c=-12c+2-17	$3 - 15 c = - 12 c + 2 - 17$
205341	Simplify	fifth root of 10^2* cube root of 10^4	$\sqrt[5]{10^{2}} \cdot \sqrt[3]{10^{4}}$
205342	Find the x and y Intercepts	f(x)=2^(-x)-3	$f (x) = 2^{- x} - 3$
205343	Divide	((45x^4)/(3x+6))÷75x^3	$\frac{45 x^{4}}{3 x + 6} \div 75 x^{3}$
205344	Simplify	(m-n)/(mn)*(2mn)/(mn-m^2)	$\frac{m - n}{m n} \cdot \frac{2 m n}{m n - m^{2}}$
205345	Solve for q	8=2+q	$8 = 2 + q$
205346	Solve for k	2k(-3k+4)+6(k^2+10)=k(4k+8)-2k(2k+5)	$2 k (- 3 k + 4) + 6 (k^{2} + 10) = k (4 k + 8) - 2 k (2 k + 5)$
205347	Simplify	((7y-3x)(5x-1))/((5x^3+x^2)(3x-7y))	$\frac{(7 y - 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$
205348	Factor	x^7y^2-xy^2	$x^{7} y^{2} - x y^{2}$
205349	Multiply	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
205350	Simplify	(2^(12/5)x^2)^(5/3)	${(2^{\frac{12}{5}} x^{2})}^{\frac{5}{3}}$
205351	Find the Exact Value	sec(45 degrees )tan(60 degrees )	$\sec (45 °) \tan (60 °)$
205352	Simplify the Radical Expression	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
205353	Factor	ax^2-ay^2+bx^2-by^2	$a x^{2} - a y^{2} + b x^{2} - b y^{2}$
205354	Determine if True	(cos(x)tan(x)-csc(x)sin(x))/(csc(x)tan(x))=(sin(x)-1)/(sec(x))	$\frac{\cos (x) \tan (x) - \csc (x) \sin (x)}{\csc (x) \tan (x)} = \frac{\sin (x) - 1}{\sec (x)}$
205355	Divide	(7x^3+x^2+x)÷(x^2+1)	$(7 x^{3} + x^{2} + x) \div (x^{2} + 1)$
205356	Solve for x	(1/x)((x-1)/2)=4	$(\frac{1}{x}) (\frac{x - 1}{2}) = 4$
205357	Evaluate	7^2+5(13-7)^2	$7^{2} + 5 {(13 - 7)}^{2}$
205358	Solve the System of Equations	5/3x-2y=-2 -x+y=2	$\frac{5}{3} x - 2 y = - 2$ $- x + y = 2$
205359	Solve for c	-6(11-2c)=7(-2-2c)	$- 6 (11 - 2 c) = 7 (- 2 - 2 c)$
205360	Evaluate	(x^5*x^3)/(x^4)	$\frac{x^{5} \cdot x^{3}}{x^{4}}$
205361	Solve for x	3 square root of x=1	$3 \sqrt{x} = 1$
205362	Solve the Inequality for x	-2<x/3+1<5	$- 2 < \frac{x}{3} + 1 < 5$
205363	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-8x^2+6+x^6+x	$f (x) = - 8 x^{2} + 6 + x^{6} + x$
205364	Solve the Inequality for x	(x^2-36)/(x-6)<=0	$\frac{x^{2} - 36}{x - 6} \leq 0$
205365	Find the Degree, Leading Term, and Leading Coefficient	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
205366	Solve for x	2^(4x)=1/32	$2^{4 x} = \frac{1}{32}$
205367	Find the Roots (Zeros)	f(x) = log base 9 of 4x+3+ log base 9 of x-2	$f (x) = \log_{9} (4 x + 3) + \log_{9} (x - 2)$
205368	Divide Using Synthetic Division	(8x^3+2x^2-5x+1)÷(x-1/2)	$(8 x^{3} + 2 x^{2} - 5 x + 1) \div (x - \frac{1}{2})$
205369	Graph	x>=-2 y>=x-2 x+y<=2	$x \geq - 2$ $y \geq x - 2$ $x + y \leq 2$
205370	Rationalize the Denominator	4/(4+ square root of 2)	$\frac{4}{4 + \sqrt{2}}$
205371	Simplify	(3x^2)/(x+5)+(15x)/(x+5)	$\frac{3 x^{2}}{x + 5} + \frac{15 x}{x + 5}$
205372	Solve for w	-18+18w+16=15w+19	$- 18 + 18 w + 16 = 15 w + 19$
205373	Simplify	1/4x+(5x)/2	$\frac{1}{4} x + \frac{5 x}{2}$
205374	Subtract	(x^2-3x+4)-(x^3+7x-2)	$(x^{2} - 3 x + 4) - (x^{3} + 7 x - 2)$
205375	Simplify	((x^2)^-3)/(x^8)	$\frac{{(x^{2})}^{- 3}}{x^{8}}$
205376	Evaluate	square root of (5- square root of 10)^2	$\sqrt{{(5 - \sqrt{10})}^{2}}$
205377	Simplify	cube root of 2x+-11 cube root of 2x	$\sqrt[3]{2 x} + - 11 \sqrt[3]{2 x}$
205378	Simplify	4 1/3u^5v^3*(3 1/4u^3v^2-v^2+u)	$4 \frac{1}{3} u^{5} v^{3} \cdot (3 \frac{1}{4} u^{3} v^{2} - v^{2} + u)$
205379	Find the Degree, Leading Term, and Leading Coefficient	(x^5)/5+1-x^4+9x^2	$\frac{x^{5}}{5} + 1 - x^{4} + 9 x^{2}$
205380	Multiply	square root of x* fourth root of x	$\sqrt{x} \cdot \sqrt[4]{x}$
205381	Simplify	(1/2y^5)^3(2y^2)^4	${(\frac{1}{2} y^{5})}^{3} {(2 y^{2})}^{4}$
205382	Simplify	cube root of x/(4y)	$\sqrt[3]{\frac{x}{4 y}}$
205383	Graph	f(x)=(\|\|x\|\|+2)/2 ; if 0<=x<6	$f (x) = \frac{\| \| x \| \| + 2}{2}$ ; if $0 \leq x < 6$
205384	Write in Standard Form	11x^2-88x-59=5y^2+60y	$11 x^{2} - 88 x - 59 = 5 y^{2} + 60 y$
205385	Solve by Factoring	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
205386	Graph	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
205387	Graph	(2-x)^2+3	${(2 - x)}^{2} + 3$
205388	Solve for u	69u-12.1-31.3=67u-21.4	$69 u - 12.1 - 31.3 = 67 u - 21.4$
205389	Simplify	square root of 72*2	$\sqrt{72} \cdot 2$
205390	Solve for N	5/12=35/N	$\frac{5}{12} = \frac{35}{N}$
205391	Simplify	(3x-4y)^2-(3x-4y)(3x+4y)	${(3 x - 4 y)}^{2} - (3 x - 4 y) (3 x + 4 y)$
205392	Solve for x	5^(3x^2+3)=25^(12x-21)	$5^{3 x^{2} + 3} = 25^{12 x - 21}$
205393	Solve for n	-7=1+2/3n	$- 7 = 1 + \frac{2}{3} n$
205394	Simplify	2^(2/3)*16^(2/3)	$2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}$
205395	Simplify	(4^-1+2^-3)^-2	${(4^{- 1} + 2^{- 3})}^{- 2}$
205396	Evaluate	5(x-134)=3(x-60)	$5 (x - 134) = 3 (x - 60)$
205397	Solve for x	4(3x-2)=2(x-5(x-6))	$4 (3 x - 2) = 2 (x - 5 (x - 6))$
205398	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5x^2+7x-3	$f (x) = 5 x^{2} + 7 x - 3$
205399	Evaluate	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
205400	Solve for h	-15h-17+14=15-13h	$- 15 h - 17 + 14 = 15 - 13 h$