Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199301	Simplify	7xy^2(0.5x+1.4y-0.3x^2)-2.1x^2y(4y-xy)	$7 x y^{2} (0.5 x + 1.4 y - 0.3 x^{2}) - 2.1 x^{2} y (4 y - x y)$
199302	Simplify	- square root of 16/144	$- \sqrt{\frac{16}{144}}$
199303	Simplify	( square root of 216- square root of 7)/( square root of 42-6)	$\frac{\sqrt{216} - \sqrt{7}}{\sqrt{42} - 6}$
199304	Solve for a	a+2/3=1	$a + \frac{2}{3} = 1$
199305	Factor	gx^2-3hx^2-6fy^2-gy^2+6fx^2+3hy^2	$g x^{2} - 3 h x^{2} - 6 f y^{2} - g y^{2} + 6 f x^{2} + 3 h y^{2}$
199306	Solve for t	A=p+prt for t	$A = p + p r t$ for $t$
199307	Rationalize the Denominator	4/( square root of 6+2)	$\frac{4}{\sqrt{6 + 2}}$
199308	Simplify	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{a^{2} + b^{2}}{a^{3} + b^{3}} - \frac{1}{a + b}$
199309	Simplify	(-15xy^4)(-1/3xy^3)	$(- 15 x y^{4}) (- \frac{1}{3} x y^{3})$
199310	Simplify	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
199311	Factor	2x^2-5x=-2	$2 x^{2} - 5 x = - 2$
199312	Simplify	( square root of 3a)/( square root of 27a^7)	$\frac{\sqrt{3 a}}{\sqrt{27 a^{7}}}$
199313	Simplify	cube root of (27a^12)/9	$\sqrt[3]{\frac{27 a^{12}}{9}}$
199314	Factor	3m-mk+3k-k^2	$3 m - m k + 3 k - k^{2}$
199315	Solve for a	a+2/5=9/10	$a + \frac{2}{5} = \frac{9}{10}$
199316	Evaluate	(13x^-5y^0)/(5^-3z^-10)	$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$
199317	Simplify	-(3ab+b^2-5a^2b)+(a^2-5ab+2b^2)-(a^2b-3a^2+b^2)	$- (3 a b + b^{2} - 5 a^{2} b) + (a^{2} - 5 a b + 2 b^{2}) - (a^{2} b - 3 a^{2} + b^{2})$
199318	Solve for x	(3x+6)/2-(7x-14)/3-(x+1)/9=0	$\frac{3 x + 6}{2} - \frac{7 x - 14}{3} - \frac{x + 1}{9} = 0$
199319	Simplify	(b^2-4by)/(2y^2-by)-(4y)/(b-2y)	$\frac{b^{2} - 4 b y}{2 y^{2} - b y} - \frac{4 y}{b - 2 y}$
199320	Solve for f	q/r=g/f	$\frac{q}{r} = \frac{g}{f}$
199321	Evaluate	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
199322	Simplify	(-5x^-3y^0)^-1	${(- 5 x^{- 3} y^{0})}^{- 1}$
199323	Evaluate	121÷11+(3*4)÷2	$121 \div 11 + 3 \cdot 4 \div 2$
199324	Factor	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
199325	Evaluate	2.491.63-2.121.63+1.63^2	$2.49 \cdot 1.63 - 2.12 \cdot 1.63 + {1.63}^{2}$
199326	Simplify	(1-a)/(a^2-a+1)+(a^2)/(a^3+1)	$\frac{1 - a}{a^{2} - a + 1} + \frac{a^{2}}{a^{3} + 1}$
199327	Simplify	(a^2+b^2)/(a-b)-a	$\frac{a^{2} + b^{2}}{a - b} - a$
199328	Simplify	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{x + y}{y^{3}}$
199329	Solve the Inequality for x	(x-2)/(x+1)>2	$\frac{x - 2}{x + 1} > 2$
199330	Simplify	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{x - 3}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
199331	Solve for x	2/3(3/5x+9)=1/4(2x+40)	$\frac{2}{3} (\frac{3}{5} x + 9) = \frac{1}{4} (2 x + 40)$
199332	Find the Product	(x^2-3)^3	${(x^{2} - 3)}^{3}$
199333	Solve for x	2 square root of x+3<=8	$2 \sqrt{x} + 3 \leq 8$
199334	Solve for x	15x+6x(2-3x)=9x(5-2x)-36	$15 x + 6 x (2 - 3 x) = 9 x (5 - 2 x) - 36$
199335	Solve the Inequality for k	k^2-7k+12.25>0	$k^{2} - 7 k + 12.25 > 0$
199336	Simplify	(2x^4)(3x^6)(-2x)	$(2 x^{4}) (3 x^{6}) (- 2 x)$
199337	Factor	a^3-m^3n^9	$a^{3} - m^{3} n^{9}$
199338	Simplify	6-8xy+4x-4x^2-2	$6 - 8 x y + 4 x - 4 x^{2} - 2$
199339	Solve the System of Inequalities	y>1/2x-1 y<=-2x+6	$y > \frac{1}{2} x - 1$ $y \leq - 2 x + 6$
199340	Solve by Addition/Elimination	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
199341	Simplify	(a^2-3b^3)^3	${(a^{2} - 3 b^{3})}^{3}$
199342	Evaluate	18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)	$18 \div 6 + 4 \div 2 - 15 \div (- 3) + 4 + (- 2) \div (- 1)$
199343	Simplify	6x-3y+5x+7x^2+6y^2-2	$6 x - 3 y + 5 x + 7 x^{2} + 6 y^{2} - 2$
199344	Factor	7z*(2x-y)+2x-y	$7 z \cdot (2 x - y) + 2 x - y$
199345	Graph	d^3-d^2+4d-4y=sin(x)^3	$d^{3} - d^{2} + 4 d - 4 y = \sin^{3} (x)$
199346	Solve for m	m+1/3=5/9	$m + \frac{1}{3} = \frac{5}{9}$
199347	Convert to Radical Form	(a)^(4/5)	${(a)}^{\frac{4}{5}}$
199348	Solve for y	6x+7xy=15	$6 x + 7 x y = 15$
199349	Evaluate	1/2-2^-4*4^2	$\frac{1}{2} - 2^{- 4} \cdot 4^{2}$
199350	Simplify	(tan(theta)cos(theta))/(sin(theta))	$\frac{\tan (θ) \cos (θ)}{\sin (θ)}$
199351	Simplify the Radical Expression	10 root of 32	$\sqrt[10]{32}$
199352	Simplify	(13c)/(bm-bn)-(12b)/(cn-(cm))	$\frac{13 c}{b m - b n} - \frac{12 b}{c n - cm}$
199353	Solve for x	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
199354	Simplify the Radical Expression	-3 square root of 12+3 square root of 3+3 square root of 20	$- 3 \sqrt{12} + 3 \sqrt{3} + 3 \sqrt{20}$
199355	Simplify	-1/7 square root of 147	$- \frac{1}{7} \sqrt{147}$
199356	Simplify the Radical Expression	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
199357	Evaluate the Function	f(x)=3(2)^x for x=-1	$f (x) = 3 {(2)}^{x}$ for $x = - 1$
199358	Solve for H	HJ=m	$H J = m$
199359	Simplify	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
199360	Simplify	5y+8-2y-3y	$5 y + 8 - 2 y - 3 y$
199361	Solve for F	c=(5(F-32))/9	$c = \frac{5 (F - 32)}{9}$
199362	Simplify	0.1^(3n^2+n+1003)*10^(3n^2+n+1003)	${0.1}^{3 n^{2} + n + 1003} \cdot 10^{3 n^{2} + n + 1003}$
199363	Factor	-15a^2bc+20ab^2c-25bc^3	$- 15 a^{2} b c + 20 a b^{2} c - 25 b c^{3}$
199364	Simplify	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2} + 4) (5 \sqrt{2} - 4)$
199365	Simplify	(x^(1/3)y^(1/2))^9 square root of y	${(x^{\frac{1}{3}} \cdot y^{\frac{1}{2}})}^{9} \cdot \sqrt{y}$
199366	Simplify	(2a+b)/((a-b)^2)+(2b-5a)/((a-b)^2)	$\frac{2 a + b}{{(a - b)}^{2}} + \frac{2 b - 5 a}{{(a - b)}^{2}}$
199367	Solve for x	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
199368	Find the Exact Value	(32,768)	$(32, 768)$
199369	Simplify	xy-3x^3y-4xy^2+3x^2+7x^3y	$x y - 3 x^{3} y - 4 x y^{2} + 3 x^{2} + 7 x^{3} y$
199370	Solve for A	r+A/n=b^2	$r + \frac{A}{n} = b^{2}$
199371	Solve for x	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
199372	Solve for x	cube root of x+5=2 cube root of 2x+6	$\sqrt[3]{x + 5} = 2 \sqrt[3]{2 x + 6}$
199373	Factor	28xy-44y^2+35x-23y+40	$28 x y - 44 y^{2} + 35 x - 23 y + 40$
199374	Solve the Inequality for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
199375	Solve the Inequality for x	(x^2-3x-10)/(1-x)>=2	$\frac{x^{2} - 3 x - 10}{1 - x} \geq 2$
199376	Evaluate	(x^5)/(x^4)*x	$\frac{x^{5}}{x^{4}} \cdot x$
199377	Solve for x	5x^2(3x+6)=3(5x^3+10x^2+x-9)	$5 x^{2} (3 x + 6) = 3 (5 x^{3} + 10 x^{2} + x - 9)$
199378	Evaluate the Function	f(x)=3x^2+4x at x=-2	$f (x) = 3 x^{2} + 4 x$ at $x = - 2$
199379	Solve for x	square root of (2x-3)^2=7	$\sqrt{{(2 x - 3)}^{2}} = 7$
199380	Factor	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
199381	Factor	x^4+a^2x^2+b^2x^2+a^2b^2	$x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}$
199382	Simplify	(-32)^(6/3)	${(- 32)}^{\frac{6}{3}}$
199383	Solve for x	(3^2)^( square root of x-1)=81	${(3^{2})}^{\sqrt{x - 1}} = 81$
199384	Evaluate	((-3^2)^327)/(9^4(1/3)^3)	$\frac{{(- 3^{2})}^{3} \cdot 27}{9^{4} \cdot {(\frac{1}{3})}^{3}}$
199385	Find the Product	(x+(y-2))^2	${(x + (y - 2))}^{2}$
199386	Find the Product	(x^2+4y^2)(x^2-4y^2)	$(x^{2} + 4 y^{2}) (x^{2} - 4 y^{2})$
199387	Simplify	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{a^{2} - 4}{x^{2} - 9} \div \frac{a^{2} - 2 a}{x y + 3 y} + \frac{2 - y}{x - 3}$
199388	Simplify	(x^2-1/x)/(1-1/x)	$\frac{x^{2} - \frac{1}{x}}{1 - \frac{1}{x}}$
199389	Solve for n	square root of 81=n^2	$\sqrt{81} = n^{2}$
199390	Solve for a	-4(5-2a)+3(a-4)=6(2-a)-5a	$- 4 (5 - 2 a) + 3 (a - 4) = 6 (2 - a) - 5 a$
199391	Factor	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
199392	Write as a Single Logarithm	2 log of x+ log of x+2	$2 \log (x) + \log (x + 2)$
199393	Simplify	( square root of 56( square root of 28+ square root of 21- square root of 7))/( square root of 2)	$\frac{\sqrt{56} (\sqrt{28} + \sqrt{21} - \sqrt{7})}{\sqrt{2}}$
199394	Solve for θ	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
199395	Solve for x	2+ square root of x+1- square root of x+5=0	$2 + \sqrt{x + 1} - \sqrt{x + 5} = 0$
199396	Solve for y	square root of (y-4)^2=5	$\sqrt{{(y - 4)}^{2}} = 5$
199397	Simplify	4/( fourth root of 8m^2)	$\frac{4}{\sqrt[4]{8 m^{2}}}$
199398	Solve for x	7x(4x^2+6)=4(7x^3+9x-12)	$7 x (4 x^{2} + 6) = 4 (7 x^{3} + 9 x - 12)$
199399	Simplify	square root of 14-2 square root of 13* square root of 14+2 square root of 13	$\sqrt{14 - 2 \sqrt{13}} \cdot \sqrt{14 + 2 \sqrt{13}}$
199400	Solve for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$