Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
301	Factor	a^3-m^3n^9	$a^{3} - m^{3} n^{9}$
302	Simplify	6-8xy+4x-4x^2-2	$6 - 8 x y + 4 x - 4 x^{2} - 2$
303	Solve the System of Inequalities	y>1/2x-1 y<=-2x+6	$y > \frac{1}{2} x - 1$ $y \leq - 2 x + 6$
304	Find the Derivative of the Integral	F(x) = integral from 1 to x^2+1 of (2t+2)/( square root of t+1) with respect to t	$F (x) = \int_{1}^{x^{2} + 1} \frac{2 t + 2}{\sqrt{t + 1}} d t$
305	Solve by Addition/Elimination	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
306	Simplify	(a^2-3b^3)^3	${(a^{2} - 3 b^{3})}^{3}$
307	Evaluate	18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)	$18 \div 6 + 4 \div 2 - 15 \div (- 3) + 4 + (- 2) \div (- 1)$
308	Find the Domain	square root of 13-(13-2x)	$\sqrt{13 - (13 - 2 x)}$
309	Simplify	6x-3y+5x+7x^2+6y^2-2	$6 x - 3 y + 5 x + 7 x^{2} + 6 y^{2} - 2$
310	Factor	7z*(2x-y)+2x-y	$7 z \cdot (2 x - y) + 2 x - y$
311	Graph	d^3-d^2+4d-4y=sin(x)^3	$d^{3} - d^{2} + 4 d - 4 y = \sin^{3} (x)$
312	Solve for m	m+1/3=5/9	$m + \frac{1}{3} = \frac{5}{9}$
313	Convert to Radical Form	(a)^(4/5)	${(a)}^{\frac{4}{5}}$
314	Solve for y	6x+7xy=15	$6 x + 7 x y = 15$
315	Evaluate	1/2-2^-4*4^2	$\frac{1}{2} - 2^{- 4} \cdot 4^{2}$
316	Simplify	(tan(theta)cos(theta))/(sin(theta))	$\frac{\tan (θ) \cos (θ)}{\sin (θ)}$
317	Simplify the Radical Expression	10 root of 32	$\sqrt[10]{32}$
318	Simplify	(13c)/(bm-bn)-(12b)/(cn-(cm))	$\frac{13 c}{b m - b n} - \frac{12 b}{c n - cm}$
319	Find the Antiderivative	f(x)=8x^4+(x^-2)/2	$f (x) = 8 x^{4} + \frac{x^{- 2}}{2}$
320	Solve for x	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
321	Simplify the Radical Expression	-3 square root of 12+3 square root of 3+3 square root of 20	$- 3 \sqrt{12} + 3 \sqrt{3} + 3 \sqrt{20}$
322	Simplify	-1/7 square root of 147	$- \frac{1}{7} \sqrt{147}$
323	Simplify the Radical Expression	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
324	Evaluate the Function	f(x)=3(2)^x for x=-1	$f (x) = 3 {(2)}^{x}$ for $x = - 1$
325	Solve for H	HJ=m	$H J = m$
326	Simplify	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
327	Simplify	5y+8-2y-3y	$5 y + 8 - 2 y - 3 y$
328	Solve for F	c=(5(F-32))/9	$c = \frac{5 (F - 32)}{9}$
329	Simplify	0.1^(3n^2+n+1003)*10^(3n^2+n+1003)	${0.1}^{3 n^{2} + n + 1003} \cdot 10^{3 n^{2} + n + 1003}$
330	Factor	-15a^2bc+20ab^2c-25bc^3	$- 15 a^{2} b c + 20 a b^{2} c - 25 b c^{3}$
331	Simplify	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2} + 4) (5 \sqrt{2} - 4)$
332	Simplify	(x^(1/3)y^(1/2))^9 square root of y	${(x^{\frac{1}{3}} \cdot y^{\frac{1}{2}})}^{9} \cdot \sqrt{y}$
333	Simplify	(2a+b)/((a-b)^2)+(2b-5a)/((a-b)^2)	$\frac{2 a + b}{{(a - b)}^{2}} + \frac{2 b - 5 a}{{(a - b)}^{2}}$
334	Solve for x	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
335	Find the Exact Value	(32,768)	$(32, 768)$
336	Simplify	xy-3x^3y-4xy^2+3x^2+7x^3y	$x y - 3 x^{3} y - 4 x y^{2} + 3 x^{2} + 7 x^{3} y$
337	Evaluate the Integral	integral of 2(2^(2x)) with respect to x	$\int 2 (2^{2 x}) d x$
338	Solve for A	r+A/n=b^2	$r + \frac{A}{n} = b^{2}$
339	Solve for x	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
340	Solve for x	cube root of x+5=2 cube root of 2x+6	$\sqrt[3]{x + 5} = 2 \sqrt[3]{2 x + 6}$
341	Find the Antiderivative	f(x)=9x^(4/5)+x-2/(x^3)- square root of x	$f (x) = 9 x^{\frac{4}{5}} + x - \frac{2}{x^{3}} - \sqrt{x}$
342	Factor	28xy-44y^2+35x-23y+40	$28 x y - 44 y^{2} + 35 x - 23 y + 40$
343	Find the Domain	(x^2-25)/(x^2-5x)	$\frac{x^{2} - 25}{x^{2} - 5 x}$
344	Solve the Inequality for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
345	Solve the Inequality for x	(x^2-3x-10)/(1-x)>=2	$\frac{x^{2} - 3 x - 10}{1 - x} \geq 2$
346	Evaluate	(x^5)/(x^4)*x	$\frac{x^{5}}{x^{4}} \cdot x$
347	Solve for x	5x^2(3x+6)=3(5x^3+10x^2+x-9)	$5 x^{2} (3 x + 6) = 3 (5 x^{3} + 10 x^{2} + x - 9)$
348	Evaluate the Function	f(x)=3x^2+4x at x=-2	$f (x) = 3 x^{2} + 4 x$ at $x = - 2$
349	Solve for x	square root of (2x-3)^2=7	$\sqrt{{(2 x - 3)}^{2}} = 7$
350	Factor	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
351	Factor	x^4+a^2x^2+b^2x^2+a^2b^2	$x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}$
352	Find Where Increasing/Decreasing	x^4-8x^3+18x^2	$x^{4} - 8 x^{3} + 18 x^{2}$
353	Simplify	(-32)^(6/3)	${(- 32)}^{\frac{6}{3}}$
354	Solve for x	(3^2)^( square root of x-1)=81	${(3^{2})}^{\sqrt{x - 1}} = 81$
355	Evaluate	((-3^2)^327)/(9^4(1/3)^3)	$\frac{{(- 3^{2})}^{3} \cdot 27}{9^{4} \cdot {(\frac{1}{3})}^{3}}$
356	Find the Product	(x+(y-2))^2	${(x + (y - 2))}^{2}$
357	Find the Product	(x^2+4y^2)(x^2-4y^2)	$(x^{2} + 4 y^{2}) (x^{2} - 4 y^{2})$
358	Simplify	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{a^{2} - 4}{x^{2} - 9} \div \frac{a^{2} - 2 a}{x y + 3 y} + \frac{2 - y}{x - 3}$
359	Simplify	(x^2-1/x)/(1-1/x)	$\frac{x^{2} - \frac{1}{x}}{1 - \frac{1}{x}}$
360	Solve for n	square root of 81=n^2	$\sqrt{81} = n^{2}$
361	Find the Antiderivative	f(x)=1/2x^7	$f (x) = \frac{1}{2} x^{7}$
362	Solve for a	-4(5-2a)+3(a-4)=6(2-a)-5a	$- 4 (5 - 2 a) + 3 (a - 4) = 6 (2 - a) - 5 a$
363	Factor	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
364	Find the Domain	((2a+b)/a-(a+2b)/b)*((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{2 a + b}{a} - \frac{a + 2 b}{b}) \cdot (\frac{a - b}{b^{2} + a b} + \frac{a + b}{b^{2} - a b})$
365	Write as a Single Logarithm	2 log of x+ log of x+2	$2 \log (x) + \log (x + 2)$
366	Simplify	( square root of 56( square root of 28+ square root of 21- square root of 7))/( square root of 2)	$\frac{\sqrt{56} (\sqrt{28} + \sqrt{21} - \sqrt{7})}{\sqrt{2}}$
367	Solve for θ	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
368	Solve for x	2+ square root of x+1- square root of x+5=0	$2 + \sqrt{x + 1} - \sqrt{x + 5} = 0$
369	Solve for y	square root of (y-4)^2=5	$\sqrt{{(y - 4)}^{2}} = 5$
370	Simplify	4/( fourth root of 8m^2)	$\frac{4}{\sqrt[4]{8 m^{2}}}$
371	Solve for x	7x(4x^2+6)=4(7x^3+9x-12)	$7 x (4 x^{2} + 6) = 4 (7 x^{3} + 9 x - 12)$
372	Simplify	square root of 14-2 square root of 13* square root of 14+2 square root of 13	$\sqrt{14 - 2 \sqrt{13}} \cdot \sqrt{14 + 2 \sqrt{13}}$
373	Solve for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
374	Find the Domain	((x+5)(x^2-25))/((x+5)^2(x-5)^2)	$\frac{(x + 5) (x^{2} - 25)}{{(x + 5)}^{2} {(x - 5)}^{2}}$
375	Graph	y<4x+2 y<-1.5x-3	$y < 4 x + 2$ $y < - 1.5 x - 3$
376	Simplify the Radical Expression	2 square root of 3+4 square root of 3-5 square root of 3	$2 \sqrt{3} + 4 \sqrt{3} - 5 \sqrt{3}$
377	Solve for x	square root of 4(x-5)^2=40	$\sqrt{4 {(x - 5)}^{2}} = 40$
378	Solve for b	-5 square root of b=-50	$- 5 \sqrt{b} = - 50$
379	Solve for x	(x^2-1)/2-11x=11	$\frac{x^{2} - 1}{2} - 11 x = 11$
380	Graph	y=x^2(x-1)	$y = x^{2} (x - 1)$
381	Evaluate	1.195.43.12-5.41.19^2-1.935.4*1.19	$1.19 \cdot 5.4 \cdot 3.12 - 5.4 \cdot {1.19}^{2} - 1.93 \cdot 5.4 \cdot 1.19$
382	Solve for x	(2x+9)/7+(5-2x)/5=2	$\frac{2 x + 9}{7} + \frac{5 - 2 x}{5} = 2$
383	Simplify	-3/(- square root of 9)	$\frac{- 3}{- \sqrt{9}}$
384	Simplify	square root of 10z^5-z^2 square root of 40z	$\sqrt{10 z^{5}} - z^{2} \sqrt{40 z}$
385	Evaluate	(2^2y^-6)/(8^-1z^0x^-7)	$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$
386	Simplify	( square root of 11)/(- square root of 36)	$\frac{\sqrt{11}}{- \sqrt{36}}$
387	Find the Complex Conjugate	square root of 3- square root of 2	$\sqrt{3} - \sqrt{2}$
388	Solve for x	(1-2x)(1-3x)=(6x-1)x-1	$(1 - 2 x) (1 - 3 x) = (6 x - 1) x - 1$
389	Simplify the Radical Expression	fourth root of 64	$\sqrt[4]{64}$
390	Simplify	3 square root of 5y*8 square root of 10yz	$3 \sqrt{5 y} \cdot 8 \sqrt{10 y z}$
391	Solve for c	1 1/4c=30	$1 \frac{1}{4} c = 30$
392	Solve the System of Inequalities	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
393	Simplify	square root of fourth root of 256	$\sqrt{\sqrt[4]{256}}$
394	Solve for x	1000^1000=100^x	$1000^{1000} = 100^{x}$
395	Graph	y<- square root of x+4-5	$y < - \sqrt{x + 4} - 5$
396	Simplify	(15a^0b^2c^34)(3a^16b^-29c^0)	$(15 a^{0} b^{2} c^{34}) (3 a^{16} b^{- 29} c^{0})$
397	Simplify the Radical Expression	-3 square root of 27-3 square root of 27-3 square root of 27	$- 3 \sqrt{27} - 3 \sqrt{27} - 3 \sqrt{27}$
398	Simplify	cube root of (4x)/(5x^2)	$\sqrt[3]{\frac{4 x}{5 x^{2}}}$
399	Simplify	(x^4)/(3 square root of x)	$\frac{x^{4}}{3 \sqrt{x}}$
400	Solve for x	2 cube root of x-5>=3	$2 \sqrt[3]{x} - 5 \geq 3$