Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
201	Solve for x	x^2+x(6-2x)=(x-1)(2-x)-2	$x^{2} + x (6 - 2 x) = (x - 1) (2 - x) - 2$
202	Simplify	(1/(csc(x)))(tan(x)+cot(x))	$(\frac{1}{\csc (x)}) (\tan (x) + \cot (x))$
203	Simplify	(4y)/(3x^2+2xy)-(9x)/(3xy+2y^2)	$\frac{4 y}{3 x^{2} + 2 x y} - \frac{9 x}{3 x y + 2 y^{2}}$
204	Evaluate	(32^20-52^19)/((-2^6)^3)	$\frac{3 \cdot 2^{20} - 5 \cdot 2^{19}}{{(- 2^{6})}^{3}}$
205	Solve for x	x-1/9=1/6	$x - \frac{1}{9} = \frac{1}{6}$
206	Graph	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
207	Divide	(28p^3q^2r-36p^2r^2+16q^5r^4)/(4pq^2r)	$\frac{28 p^{3} q^{2} r - 36 p^{2} r^{2} + 16 q^{5} r^{4}}{4 p q^{2} r}$
208	Simplify	square root of 3^3*6^3	$\sqrt{3^{3} \cdot 6^{3}}$
209	Solve the System of Inequalities	y>3x-5 y>-x+2	$y > 3 x - 5$ $y > - x + 2$
210	Evaluate	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
211	Simplify	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{a^{2} - b^{2}}{a^{2} - 3 a} \cdot \frac{2 a - 6}{{(a + b)}^{2}}$
212	Simplify	3x(x^2-4)(5-3x)	$3 x (x^{2} - 4) (5 - 3 x)$
213	Simplify the Radical Expression	-2x square root of 3xy^3z^7	$- 2 x \sqrt{3 x y^{3} z^{7}}$
214	Simplify the Radical Expression	( cube root of 5)/( cube root of 4)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4}}$
215	Find the Asymptotes	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
216	Solve for y	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
217	Simplify	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
218	Graph	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
219	Simplify	1/5m^3-3/4p^2+4/5m^3+3/4p^2	$\frac{1}{5} m^{3} - \frac{3}{4} p^{2} + \frac{4}{5} m^{3} + \frac{3}{4} p^{2}$
220	Solve for x	3(-2x+1)-2(x+13)=7x-4(1-x)	$3 (- 2 x + 1) - 2 (x + 13) = 7 x - 4 (1 - x)$
221	Evaluate	0.25^22.4+0.252.4^2-0.252.40.65	${0.25}^{2} \cdot 2.4 + 0.25 \cdot {2.4}^{2} - 0.25 \cdot 2.4 \cdot 0.65$
222	Simplify	(x^9yz^4)^5	${(x^{9} y z^{4})}^{5}$
223	Convert to Radical Form	(26)^(1/4)	${(26)}^{\frac{1}{4}}$
224	Evaluate	(2 4/9-5 2/3)/2 1/3	$\frac{2 \frac{4}{9} - 5 \frac{2}{3}}{2 \frac{1}{3}}$
225	Solve for θ in Radians	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
226	Graph	f(x)=(X+3)^2-1	$f (x) = {(X + 3)}^{2} - 1$
227	Simplify	-5x^-5x^0	$- 5 x^{- 5} x^{0}$
228	Factor	x^3-y^3-x^2y+xy^2	$x^{3} - y^{3} - x^{2} y + x y^{2}$
229	Simplify	(p^21q^-15r^-3)^(1/3)	${(p^{21} q^{- 15} r^{- 3})}^{\frac{1}{3}}$
230	Simplify	(4y)/(x-3y)+(2x-2y)/(3y-x)	$\frac{4 y}{x - 3 y} + \frac{2 x - 2 y}{3 y - x}$
231	Evaluate	9(3^-2)-(3^4)/(3^2)-( square root of 2^6)÷2	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}} \div 2$
232	Graph	3x-y^2=8y+1	$3 x - y^{2} = 8 y + 1$
233	Factor	ab-8a-bx+8x	$a b - 8 a - b x + 8 x$
234	Solve for x	2(x+11)^(1/2)=x+3	$2 {(x + 11)}^{\frac{1}{2}} = x + 3$
235	Simplify	a/(2a-b)+(3a-b)/(b-2a)	$\frac{a}{2 a - b} + \frac{3 a - b}{b - 2 a}$
236	Simplify	fourth root of (x^12)/(y^16)	$\sqrt[4]{\frac{x^{12}}{y^{16}}}$
237	Solve for x	(21-4x)/9+(8x+15)/3=2	$\frac{21 - 4 x}{9} + \frac{8 x + 15}{3} = 2$
238	Evaluate the Function	x=2 : f(x)=7x-5	$x = 2$ : $f (x) = 7 x - 5$
239	Simplify	((2a+b)/a-(a+2b)/b)*((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{2 a + b}{a} - \frac{a + 2 b}{b}) \cdot (\frac{a - b}{b^{2} + a b} + \frac{a + b}{b^{2} - a b})$
240	Simplify	(2a+b)/(2a^2-ab)-(16a)/(4a^2-b^2)-(2a-b)/(2a^2+ab)	$\frac{2 a + b}{2 a^{2} - a b} - \frac{16 a}{4 a^{2} - b^{2}} - \frac{2 a - b}{2 a^{2} + a b}$
241	Rationalize the Denominator	1/( square root of 3ab)	$\frac{1}{\sqrt{3 a b}}$
242	Factor	1/125x^3+27y^3	$\frac{1}{125} x^{3} + 27 y^{3}$
243	Simplify	(c+6b)/(ac+2bc-6ab-3a^2)+(2b)/(a^2+2ab)-b/(ac-3a^2)	$\frac{c + 6 b}{a c + 2 b c - 6 a b - 3 a^{2}} + \frac{2 b}{a^{2} + 2 a b} - \frac{b}{a c - 3 a^{2}}$
244	Simplify	(x-y)/x-(y-x)/y+(x^2+y^2)/(xy)	$\frac{x - y}{x} - \frac{y - x}{y} + \frac{x^{2} + y^{2}}{x y}$
245	Find the Derivative - d/dx	y=x+3 natural log of 5x-4x^2+e^(2x)-pi	$y = x + 3 \ln (5 x) - 4 x^{2} + e^{2 x} - π$
246	Solve for a	a-2/5=1/10	$a - \frac{2}{5} = \frac{1}{10}$
247	Solve for m	fourth root of 2m=4	$\sqrt[4]{2 m} = 4$
248	Simplify	(-3^-3)/(6^-2)	$\frac{(- 3^{- 3})}{6^{- 2}}$
249	Solve for y	8x-4xy=3	$8 x - 4 x y = 3$
250	Graph	F(x)=1/(x+3)-2	$F (x) = \frac{1}{x + 3} - 2$
251	Simplify	( square root of 20x+5)/( square root of 5x)	$\frac{\sqrt{20 x + 5}}{\sqrt{5 x}}$
252	Simplify	(x-y)/(xy)-(x-z)/(xz)	$\frac{x - y}{x y} - \frac{x - z}{x z}$
253	Simplify	(x^2+xy-y^2)(x+y)	$(x^{2} + x y - y^{2}) (x + y)$
254	Solve for x	12-7 square root of x-5=4	$12 - 7 \sqrt{x - 5} = 4$
255	Solve for n	fourth root of n+2=3	$\sqrt[4]{n + 2} = 3$
256	Simplify	1/( square root of y)(1/( square root of x- square root of y)-1/( square root of x+ square root of y))	$\frac{1}{\sqrt{y}} (\frac{1}{\sqrt{x} - \sqrt{y}} - \frac{1}{\sqrt{x} + \sqrt{y}})$
257	Solve for x	3x(2x+4)=2(3x^2+48)	$3 x (2 x + 4) = 2 (3 x^{2} + 48)$
258	Solve the System of Inequalities	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
259	Simplify	1/((x-3)^2)-2/(x^2-9)+1/((x+3)^2)	$\frac{1}{{(x - 3)}^{2}} - \frac{2}{x^{2} - 9} + \frac{1}{{(x + 3)}^{2}}$
260	Simplify the Radical Expression	-3 square root of 5+2 square root of 5	$- 3 \sqrt{5} + 2 \sqrt{5}$
261	Solve for x	5 square root of 5x+2=10	$5 \sqrt{5 x + 2} = 10$
262	Simplify	7xy^2(0.5x+1.4y-0.3x^2)-2.1x^2y(4y-xy)	$7 x y^{2} (0.5 x + 1.4 y - 0.3 x^{2}) - 2.1 x^{2} y (4 y - x y)$
263	Simplify	- square root of 16/144	$- \sqrt{\frac{16}{144}}$
264	Find the Domain	(b^2-4by)/(2y^2-by)-(4y)/(b-2y)	$\frac{b^{2} - 4 b y}{2 y^{2} - b y} - \frac{4 y}{b - 2 y}$
265	Simplify	( square root of 216- square root of 7)/( square root of 42-6)	$\frac{\sqrt{216} - \sqrt{7}}{\sqrt{42} - 6}$
266	Solve for a	a+2/3=1	$a + \frac{2}{3} = 1$
267	Factor	gx^2-3hx^2-6fy^2-gy^2+6fx^2+3hy^2	$g x^{2} - 3 h x^{2} - 6 f y^{2} - g y^{2} + 6 f x^{2} + 3 h y^{2}$
268	Solve for t	A=p+prt for t	$A = p + p r t$ for $t$
269	Rationalize the Denominator	4/( square root of 6+2)	$\frac{4}{\sqrt{6 + 2}}$
270	Simplify	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{a^{2} + b^{2}}{a^{3} + b^{3}} - \frac{1}{a + b}$
271	Simplify	(-15xy^4)(-1/3xy^3)	$(- 15 x y^{4}) (- \frac{1}{3} x y^{3})$
272	Simplify	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
273	Factor	2x^2-5x=-2	$2 x^{2} - 5 x = - 2$
274	Simplify	( square root of 3a)/( square root of 27a^7)	$\frac{\sqrt{3 a}}{\sqrt{27 a^{7}}}$
275	Simplify	cube root of (27a^12)/9	$\sqrt[3]{\frac{27 a^{12}}{9}}$
276	Factor	3m-mk+3k-k^2	$3 m - m k + 3 k - k^{2}$
277	Solve for a	a+2/5=9/10	$a + \frac{2}{5} = \frac{9}{10}$
278	Evaluate	(13x^-5y^0)/(5^-3z^-10)	$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$
279	Simplify	-(3ab+b^2-5a^2b)+(a^2-5ab+2b^2)-(a^2b-3a^2+b^2)	$- (3 a b + b^{2} - 5 a^{2} b) + (a^{2} - 5 a b + 2 b^{2}) - (a^{2} b - 3 a^{2} + b^{2})$
280	Solve for x	(3x+6)/2-(7x-14)/3-(x+1)/9=0	$\frac{3 x + 6}{2} - \frac{7 x - 14}{3} - \frac{x + 1}{9} = 0$
281	Simplify	(b^2-4by)/(2y^2-by)-(4y)/(b-2y)	$\frac{b^{2} - 4 b y}{2 y^{2} - b y} - \frac{4 y}{b - 2 y}$
282	Solve for f	q/r=g/f	$\frac{q}{r} = \frac{g}{f}$
283	Evaluate	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
284	Simplify	(-5x^-3y^0)^-1	${(- 5 x^{- 3} y^{0})}^{- 1}$
285	Evaluate	121÷11+(3*4)÷2	$121 \div 11 + 3 \cdot 4 \div 2$
286	Factor	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
287	Evaluate	2.491.63-2.121.63+1.63^2	$2.49 \cdot 1.63 - 2.12 \cdot 1.63 + {1.63}^{2}$
288	Simplify	(1-a)/(a^2-a+1)+(a^2)/(a^3+1)	$\frac{1 - a}{a^{2} - a + 1} + \frac{a^{2}}{a^{3} + 1}$
289	Simplify	(a^2+b^2)/(a-b)-a	$\frac{a^{2} + b^{2}}{a - b} - a$
290	Simplify	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{x + y}{y^{3}}$
291	Solve the Inequality for x	(x-2)/(x+1)>2	$\frac{x - 2}{x + 1} > 2$
292	Simplify	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{x - 3}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
293	Solve for x	2/3(3/5x+9)=1/4(2x+40)	$\frac{2}{3} (\frac{3}{5} x + 9) = \frac{1}{4} (2 x + 40)$
294	Find the Product	(x^2-3)^3	${(x^{2} - 3)}^{3}$
295	Solve for x	2 square root of x+3<=8	$2 \sqrt{x} + 3 \leq 8$
296	Evaluate the Limit	limit as x approaches infinity of ( square root of 25x^2-7)/(x+2)	$lim_{x \to \infty} \frac{\sqrt{25 x^{2} - 7}}{x + 2}$
297	Find the Concavity	x^4-8x^3+18x^2	$x^{4} - 8 x^{3} + 18 x^{2}$
298	Solve for x	15x+6x(2-3x)=9x(5-2x)-36	$15 x + 6 x (2 - 3 x) = 9 x (5 - 2 x) - 36$
299	Solve the Inequality for k	k^2-7k+12.25>0	$k^{2} - 7 k + 12.25 > 0$
300	Simplify	(2x^4)(3x^6)(-2x)	$(2 x^{4}) (3 x^{6}) (- 2 x)$