Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199301	Solve for m	fourth root of 2m=4	$\sqrt[4]{2 m} = 4$
199302	Simplify	(-3^-3)/(6^-2)	$\frac{(- 3^{- 3})}{6^{- 2}}$
199303	Solve for y	8x-4xy=3	$8 x - 4 x y = 3$
199304	Graph	F(x)=1/(x+3)-2	$F (x) = \frac{1}{x + 3} - 2$
199305	Simplify	( square root of 20x+5)/( square root of 5x)	$\frac{\sqrt{20 x + 5}}{\sqrt{5 x}}$
199306	Simplify	(x-y)/(xy)-(x-z)/(xz)	$\frac{x - y}{x y} - \frac{x - z}{x z}$
199307	Simplify	(x^2+xy-y^2)(x+y)	$(x^{2} + x y - y^{2}) (x + y)$
199308	Solve for x	12-7 square root of x-5=4	$12 - 7 \sqrt{x - 5} = 4$
199309	Solve for n	fourth root of n+2=3	$\sqrt[4]{n + 2} = 3$
199310	Simplify	1/( square root of y)(1/( square root of x- square root of y)-1/( square root of x+ square root of y))	$\frac{1}{\sqrt{y}} (\frac{1}{\sqrt{x} - \sqrt{y}} - \frac{1}{\sqrt{x} + \sqrt{y}})$
199311	Solve for x	3x(2x+4)=2(3x^2+48)	$3 x (2 x + 4) = 2 (3 x^{2} + 48)$
199312	Solve the System of Inequalities	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
199313	Simplify	1/((x-3)^2)-2/(x^2-9)+1/((x+3)^2)	$\frac{1}{{(x - 3)}^{2}} - \frac{2}{x^{2} - 9} + \frac{1}{{(x + 3)}^{2}}$
199314	Simplify the Radical Expression	-3 square root of 5+2 square root of 5	$- 3 \sqrt{5} + 2 \sqrt{5}$
199315	Solve for x	5 square root of 5x+2=10	$5 \sqrt{5 x + 2} = 10$
199316	Simplify	7xy^2(0.5x+1.4y-0.3x^2)-2.1x^2y(4y-xy)	$7 x y^{2} (0.5 x + 1.4 y - 0.3 x^{2}) - 2.1 x^{2} y (4 y - x y)$
199317	Simplify	- square root of 16/144	$- \sqrt{\frac{16}{144}}$
199318	Simplify	( square root of 216- square root of 7)/( square root of 42-6)	$\frac{\sqrt{216} - \sqrt{7}}{\sqrt{42} - 6}$
199319	Solve for a	a+2/3=1	$a + \frac{2}{3} = 1$
199320	Factor	gx^2-3hx^2-6fy^2-gy^2+6fx^2+3hy^2	$g x^{2} - 3 h x^{2} - 6 f y^{2} - g y^{2} + 6 f x^{2} + 3 h y^{2}$
199321	Solve for t	A=p+prt for t	$A = p + p r t$ for $t$
199322	Rationalize the Denominator	4/( square root of 6+2)	$\frac{4}{\sqrt{6 + 2}}$
199323	Simplify	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{a^{2} + b^{2}}{a^{3} + b^{3}} - \frac{1}{a + b}$
199324	Simplify	(-15xy^4)(-1/3xy^3)	$(- 15 x y^{4}) (- \frac{1}{3} x y^{3})$
199325	Simplify	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
199326	Factor	2x^2-5x=-2	$2 x^{2} - 5 x = - 2$
199327	Simplify	( square root of 3a)/( square root of 27a^7)	$\frac{\sqrt{3 a}}{\sqrt{27 a^{7}}}$
199328	Simplify	cube root of (27a^12)/9	$\sqrt[3]{\frac{27 a^{12}}{9}}$
199329	Factor	3m-mk+3k-k^2	$3 m - m k + 3 k - k^{2}$
199330	Solve for a	a+2/5=9/10	$a + \frac{2}{5} = \frac{9}{10}$
199331	Evaluate	(13x^-5y^0)/(5^-3z^-10)	$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$
199332	Simplify	-(3ab+b^2-5a^2b)+(a^2-5ab+2b^2)-(a^2b-3a^2+b^2)	$- (3 a b + b^{2} - 5 a^{2} b) + (a^{2} - 5 a b + 2 b^{2}) - (a^{2} b - 3 a^{2} + b^{2})$
199333	Solve for x	(3x+6)/2-(7x-14)/3-(x+1)/9=0	$\frac{3 x + 6}{2} - \frac{7 x - 14}{3} - \frac{x + 1}{9} = 0$
199334	Simplify	(b^2-4by)/(2y^2-by)-(4y)/(b-2y)	$\frac{b^{2} - 4 b y}{2 y^{2} - b y} - \frac{4 y}{b - 2 y}$
199335	Solve for f	q/r=g/f	$\frac{q}{r} = \frac{g}{f}$
199336	Evaluate	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
199337	Simplify	(-5x^-3y^0)^-1	${(- 5 x^{- 3} y^{0})}^{- 1}$
199338	Evaluate	121÷11+(3*4)÷2	$121 \div 11 + 3 \cdot 4 \div 2$
199339	Factor	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
199340	Evaluate	2.491.63-2.121.63+1.63^2	$2.49 \cdot 1.63 - 2.12 \cdot 1.63 + {1.63}^{2}$
199341	Simplify	(1-a)/(a^2-a+1)+(a^2)/(a^3+1)	$\frac{1 - a}{a^{2} - a + 1} + \frac{a^{2}}{a^{3} + 1}$
199342	Simplify	(a^2+b^2)/(a-b)-a	$\frac{a^{2} + b^{2}}{a - b} - a$
199343	Simplify	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{x + y}{y^{3}}$
199344	Solve the Inequality for x	(x-2)/(x+1)>2	$\frac{x - 2}{x + 1} > 2$
199345	Simplify	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{x - 3}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
199346	Solve for x	2/3(3/5x+9)=1/4(2x+40)	$\frac{2}{3} (\frac{3}{5} x + 9) = \frac{1}{4} (2 x + 40)$
199347	Find the Product	(x^2-3)^3	${(x^{2} - 3)}^{3}$
199348	Solve for x	2 square root of x+3<=8	$2 \sqrt{x} + 3 \leq 8$
199349	Solve for x	15x+6x(2-3x)=9x(5-2x)-36	$15 x + 6 x (2 - 3 x) = 9 x (5 - 2 x) - 36$
199350	Solve the Inequality for k	k^2-7k+12.25>0	$k^{2} - 7 k + 12.25 > 0$
199351	Simplify	(2x^4)(3x^6)(-2x)	$(2 x^{4}) (3 x^{6}) (- 2 x)$
199352	Factor	a^3-m^3n^9	$a^{3} - m^{3} n^{9}$
199353	Simplify	6-8xy+4x-4x^2-2	$6 - 8 x y + 4 x - 4 x^{2} - 2$
199354	Solve the System of Inequalities	y>1/2x-1 y<=-2x+6	$y > \frac{1}{2} x - 1$ $y \leq - 2 x + 6$
199355	Solve by Addition/Elimination	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
199356	Simplify	(a^2-3b^3)^3	${(a^{2} - 3 b^{3})}^{3}$
199357	Evaluate	18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)	$18 \div 6 + 4 \div 2 - 15 \div (- 3) + 4 + (- 2) \div (- 1)$
199358	Simplify	6x-3y+5x+7x^2+6y^2-2	$6 x - 3 y + 5 x + 7 x^{2} + 6 y^{2} - 2$
199359	Factor	7z*(2x-y)+2x-y	$7 z \cdot (2 x - y) + 2 x - y$
199360	Graph	d^3-d^2+4d-4y=sin(x)^3	$d^{3} - d^{2} + 4 d - 4 y = \sin^{3} (x)$
199361	Solve for m	m+1/3=5/9	$m + \frac{1}{3} = \frac{5}{9}$
199362	Convert to Radical Form	(a)^(4/5)	${(a)}^{\frac{4}{5}}$
199363	Solve for y	6x+7xy=15	$6 x + 7 x y = 15$
199364	Evaluate	1/2-2^-4*4^2	$\frac{1}{2} - 2^{- 4} \cdot 4^{2}$
199365	Simplify	(tan(theta)cos(theta))/(sin(theta))	$\frac{\tan (θ) \cos (θ)}{\sin (θ)}$
199366	Simplify the Radical Expression	10 root of 32	$\sqrt[10]{32}$
199367	Simplify	(13c)/(bm-bn)-(12b)/(cn-(cm))	$\frac{13 c}{b m - b n} - \frac{12 b}{c n - cm}$
199368	Solve for x	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
199369	Simplify the Radical Expression	-3 square root of 12+3 square root of 3+3 square root of 20	$- 3 \sqrt{12} + 3 \sqrt{3} + 3 \sqrt{20}$
199370	Simplify	-1/7 square root of 147	$- \frac{1}{7} \sqrt{147}$
199371	Simplify the Radical Expression	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
199372	Evaluate the Function	f(x)=3(2)^x for x=-1	$f (x) = 3 {(2)}^{x}$ for $x = - 1$
199373	Solve for H	HJ=m	$H J = m$
199374	Simplify	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
199375	Simplify	5y+8-2y-3y	$5 y + 8 - 2 y - 3 y$
199376	Solve for F	c=(5(F-32))/9	$c = \frac{5 (F - 32)}{9}$
199377	Simplify	0.1^(3n^2+n+1003)*10^(3n^2+n+1003)	${0.1}^{3 n^{2} + n + 1003} \cdot 10^{3 n^{2} + n + 1003}$
199378	Factor	-15a^2bc+20ab^2c-25bc^3	$- 15 a^{2} b c + 20 a b^{2} c - 25 b c^{3}$
199379	Simplify	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2} + 4) (5 \sqrt{2} - 4)$
199380	Simplify	(x^(1/3)y^(1/2))^9 square root of y	${(x^{\frac{1}{3}} \cdot y^{\frac{1}{2}})}^{9} \cdot \sqrt{y}$
199381	Simplify	(2a+b)/((a-b)^2)+(2b-5a)/((a-b)^2)	$\frac{2 a + b}{{(a - b)}^{2}} + \frac{2 b - 5 a}{{(a - b)}^{2}}$
199382	Solve for x	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
199383	Find the Exact Value	(32,768)	$(32, 768)$
199384	Simplify	xy-3x^3y-4xy^2+3x^2+7x^3y	$x y - 3 x^{3} y - 4 x y^{2} + 3 x^{2} + 7 x^{3} y$
199385	Solve for A	r+A/n=b^2	$r + \frac{A}{n} = b^{2}$
199386	Solve for x	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
199387	Solve for x	cube root of x+5=2 cube root of 2x+6	$\sqrt[3]{x + 5} = 2 \sqrt[3]{2 x + 6}$
199388	Factor	28xy-44y^2+35x-23y+40	$28 x y - 44 y^{2} + 35 x - 23 y + 40$
199389	Solve the Inequality for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
199390	Solve the Inequality for x	(x^2-3x-10)/(1-x)>=2	$\frac{x^{2} - 3 x - 10}{1 - x} \geq 2$
199391	Evaluate	(x^5)/(x^4)*x	$\frac{x^{5}}{x^{4}} \cdot x$
199392	Solve for x	5x^2(3x+6)=3(5x^3+10x^2+x-9)	$5 x^{2} (3 x + 6) = 3 (5 x^{3} + 10 x^{2} + x - 9)$
199393	Evaluate the Function	f(x)=3x^2+4x at x=-2	$f (x) = 3 x^{2} + 4 x$ at $x = - 2$
199394	Solve for x	square root of (2x-3)^2=7	$\sqrt{{(2 x - 3)}^{2}} = 7$
199395	Factor	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
199396	Factor	x^4+a^2x^2+b^2x^2+a^2b^2	$x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}$
199397	Simplify	(-32)^(6/3)	${(- 32)}^{\frac{6}{3}}$
199398	Solve for x	(3^2)^( square root of x-1)=81	${(3^{2})}^{\sqrt{x - 1}} = 81$
199399	Evaluate	((-3^2)^327)/(9^4(1/3)^3)	$\frac{{(- 3^{2})}^{3} \cdot 27}{9^{4} \cdot {(\frac{1}{3})}^{3}}$
199400	Find the Product	(x+(y-2))^2	${(x + (y - 2))}^{2}$