Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8401	Solve for x	x/4-3=2x+1	$\frac{x}{4} - 3 = 2 x + 1$
8402	Factor	1/4x^2+x+1	$\frac{1}{4} x^{2} + x + 1$
8403	Simplify	(x^(2/5)y)/(xy^(-1/3))	$\frac{x^{\frac{2}{5}} y}{x y^{- \frac{1}{3}}}$
8404	Solve for x	y=e^(-x^2)	$y = e^{- x^{2}}$
8405	Simplify	(45-5w)/(3w^2-28w+9)	$\frac{45 - 5 w}{3 w^{2} - 28 w + 9}$
8406	Evaluate	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
8407	Simplify	(9c^2d^9-27c^6d^5-3cd^3)/(3cd^3)	$\frac{9 c^{2} d^{9} - 27 c^{6} d^{5} - 3 c d^{3}}{3 c d^{3}}$
8408	Solve for x	square root of square root of x+25 = square root of x+5	$\sqrt{\sqrt{x + 25}} = \sqrt{x + 5}$
8409	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x-8x^3-x^4+6	$f (x) = 8 x - 8 x^{3} - x^{4} + 6$
8410	Simplify the Radical Expression	square root of 7* cube root of 7	$\sqrt{7} \cdot \sqrt[3]{7}$
8411	Solve for x	4x-(3(x-12)+1)=10	$4 x - (3 (x - 12) + 1) = 10$
8412	Solve for x	1/5x-1/2=1/10x-2	$\frac{1}{5} x - \frac{1}{2} = \frac{1}{10} x - 2$
8413	Find the Domain and Range	(3x^2-3)/(x^2-1)	$\frac{3 x^{2} - 3}{x^{2} - 1}$
8414	Write in Standard Form	-7+2x-x^5+4x^4+2x^3	$- 7 + 2 x - x^{5} + 4 x^{4} + 2 x^{3}$
8415	Simplify	(6a^4+9a^4)/(5a^2)	$\frac{6 a^{4} + 9 a^{4}}{5 a^{2}}$
8416	Simplify	(x^(-u)y^v)^(-a)(x^(-2u)y^(3v))^a	${(x^{- u} y^{v})}^{- a} {(x^{- 2 u} y^{3 v})}^{a}$
8417	Simplify	fourth root of 5^3* square root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt{5}$
8418	Simplify	sin(theta)^2+cos(theta)^2+tan(theta)^2-1	$\sin^{2} (θ) + \cos^{2} (θ) + \tan^{2} (θ) - 1$
8419	Simplify	(27x^2y^4)/(16yz^3)*(8z)/(9xy^3)	$\frac{27 x^{2} y^{4}}{16 y z^{3}} \cdot \frac{8 z}{9 x y^{3}}$
8420	Simplify the Radical Expression	(5x)^(-1/2)	${(5 x)}^{- \frac{1}{2}}$
8421	Simplify the Radical Expression	fourth root of 9x^2y^2	$\sqrt[4]{9 x^{2} y^{2}}$
8422	Simplify	cube root of 27* cube root of 2	$\sqrt[3]{27} \cdot \sqrt[3]{2}$
8423	Evaluate the Integral	integral from 0 to 1 of (x^3+x)(x^4+2x^2+9)^(1/2) with respect to x	$\int_{0}^{1} (x^{3} + x) {(x^{4} + 2 x^{2} + 9)}^{\frac{1}{2}} d x$
8424	Graph	-x^2-4x+32>=0	$- x^{2} - 4 x + 32 \geq 0$
8425	Multiply	6xy^3z*3x^2yx^2	$6 x y^{3} z \cdot 3 x^{2} y x^{2}$
8426	Solve for x	f(x+1)-f(x-1)=24	$f (x + 1) - f (x - 1) = 24$
8427	Solve the System of Equations	y=3/2x-7 x+y=-2	$y = \frac{3}{2} x - 7$ $x + y = - 2$
8428	Factor	(sec(x)^2-1)/(sec(x)-1)	$\frac{\sec^{2} (x) - 1}{\sec (x) - 1}$
8429	Solve for x	5(x-2)-2x=2(x+5)+x	$5 (x - 2) - 2 x = 2 (x + 5) + x$
8430	Evaluate	(2x+5)/(2x+3)=(x+3)/(x-1)	$\frac{2 x + 5}{2 x + 3} = \frac{x + 3}{x - 1}$
8431	Evaluate the Integral	integral of (14x^6+x^2-4x) with respect to x	$\int (14 x^{6} + x^{2} - 4 x) d x$
8432	Find dy/dx	5xy^7-y^3=9x+4y	$5 x y^{7} - y^{3} = 9 x + 4 y$
8433	Solve for x	4-2/5x=-(2x)/5-5	$4 - \frac{2}{5} x = - \frac{2 x}{5} - 5$
8434	Solve for x	x+1/2=x-1/2	$x + \frac{1}{2} = x - \frac{1}{2}$
8435	Solve by Substitution	2x+y=8 3x+3/2y=12	$2 x + y = 8$ $3 x + \frac{3}{2} y = 12$
8436	Find the Antiderivative	x/(x+2)	$\frac{x}{x + 2}$
8437	Solve for x	ag((3L)/2-x)=Agx	$a g (\frac{3 L}{2} - x) = A g x$
8438	Find the Degree, Leading Term, and Leading Coefficient	1/7+6x^3	$\frac{1}{7} + 6 x^{3}$
8439	Solve the Inequality for x	((x-3)(x-4))/((x-5)(x-6)^2)<0	$\frac{(x - 3) (x - 4)}{(x - 5) {(x - 6)}^{2}} < 0$
8440	Find the Antiderivative	1/(x^2-4x+3)	$\frac{1}{x^{2} - 4 x + 3}$
8441	Solve for x	(1-cos(x)^2)(1+cot(x)^2)=0	$(1 - \cos^{2} (x)) (1 + \cot^{2} (x)) = 0$
8442	Evaluate	(x-4)+(2x-7)	$(x - 4) + (2 x - 7)$
8443	Find the Product	square root of 13* seventh root of 13	$\sqrt{13} \cdot \sqrt[7]{13}$
8444	Solve for u	4(u+1)+U=8(u-1)+6	$4 (u + 1) + U = 8 (u - 1) + 6$
8445	Find the Equation Given the Roots	-6 , 0 , 3- square root of 5	$- 6$ , $0$ , $3 - \sqrt{5}$
8446	Simplify	i^6i^38i^25	$i^{6} \cdot i^{38} \cdot i^{25}$
8447	Solve for x	5.04-x=x-5 1/4	$5.04 - x = x - 5 \frac{1}{4}$
8448	Find the Antiderivative	f(x)=5/(2 square root of 3x+2)+1/(sin(4x)^2)	$f (x) = \frac{5}{2 \sqrt{3 x + 2}} + \frac{1}{\sin^{2} (4 x)}$
8449	Find the Inverse	f(x)=e^x-1	$f (x) = e^{x} - 1$
8450	Solve for x	square root of 4x-7- square root of 2x=1	$\sqrt{4 x - 7} - \sqrt{2 x} = 1$
8451	Solve for x	x/(x+1)+(x+1)/(x+2)=1	$\frac{x}{x + 1} + \frac{x + 1}{x + 2} = 1$
8452	Simplify	(3x+3x^2)+(2x-x^2)	$(3 x + 3 x^{2}) + (2 x - x^{2})$
8453	Write the Fraction in Simplest Form	((2y^2)^4)/(-10y^-1)	$\frac{{(2 y^{2})}^{4}}{- 10 y^{- 1}}$
8454	Factor	pm^2+5m^2-qn+pn-qm^2+5n	$p m^{2} + 5 m^{2} - q n + p n - q m^{2} + 5 n$
8455	Graph	y=-3/5x-1 y=-4/5x	$y = - \frac{3}{5} x - 1$ $y = - \frac{4}{5} x$
8456	Solve the System of Equations	2x+y=3 4x+2y=6	$2 x + y = 3$ $4 x + 2 y = 6$
8457	Find the Derivative - d/dx	y=(3x+7)/( square root of 5+2x)	$y = \frac{3 x + 7}{\sqrt{5 + 2 x}}$
8458	Simplify	( square root of 60x^4)/( square root of 5x^4)	$\frac{\sqrt{60 x^{4}}}{\sqrt{5 x^{4}}}$
8459	Find the Reference Angle	cos(330 degrees )	$\cos (330 °)$
8460	Simplify	8+(n-4)	$8 + (n - 4)$
8461	Solve for a	4(x-2)^2-7=ax^2+bx+c	$4 {(x - 2)}^{2} - 7 = a x^{2} + b x + c$
8462	Solve for x	-2 square root of 24x+13=-11	$- 2 \sqrt{24 x + 13} = - 11$
8463	Find the Antiderivative	tan(x)^5	$\tan^{5} (x)$
8464	Solve for y	-1/3y+10=-2/3y+7	$- \frac{1}{3} y + 10 = - \frac{2}{3} y + 7$
8465	Solve for x	2 cube root of x+2 = cube root of x+8	$2 \sqrt[3]{x + 2} = \sqrt[3]{x + 8}$
8466	Simplify	4(9^(1/4))+7(9^(1/4))	$4 (9^{\frac{1}{4}}) + 7 (9^{\frac{1}{4}})$
8467	Find the Degree, Leading Term, and Leading Coefficient	-1/6+x	$- \frac{1}{6} + x$
8468	Solve for y	-4y+13y+5=6y+32	$- 4 y + 13 y + 5 = 6 y + 32$
8469	Simplify	((5^-5)^4)/(5^5)	$\frac{{(5^{- 5})}^{4}}{5^{5}}$
8470	Subtract	1 1/8-5/8	$1 \frac{1}{8} - \frac{5}{8}$
8471	Solve for x	5/12-4/(3x+9)=3/4	$\frac{5}{12} - \frac{4}{3 x + 9} = \frac{3}{4}$
8472	Simplify	8x^2y^2 cube root of 135x^3y^7	$8 x^{2} y^{2} \sqrt[3]{135 x^{3} y^{7}}$
8473	Simplify	x/3*1/(4x^2)	$\frac{x}{3} \cdot \frac{1}{4 x^{2}}$
8474	Find the Degree, Leading Term, and Leading Coefficient	2x^4+5x^2+6x+1/4	$2 x^{4} + 5 x^{2} + 6 x + \frac{1}{4}$
8475	Simplify	(7/2)(4/5)(3/2)	$(\frac{7}{2}) (\frac{4}{5}) (\frac{3}{2})$
8476	Simplify	2y^3 cube root of 375x^7y^3	$2 y^{3} \sqrt[3]{375 x^{7} y^{3}}$
8477	Graph	y=1+1/2cos(pix)	$y = 1 + \frac{1}{2} \cos (π x)$
8478	Simplify	(5^2x^6)(5^3x^4)	$(5^{2} x^{6}) (5^{3} x^{4})$
8479	Find the Antiderivative	f(x)=tan(x)^2	$f (x) = \tan^{2} (x)$
8480	Simplify the Radical Expression	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
8481	Find the Asymptotes	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
8482	Evaluate the Integral	integral of 1/(x^4-1) with respect to x	$\int \frac{1}{x^{4} - 1} d x$
8483	Simplify	4k+6k-3k+3s-s	$4 k + 6 k - 3 k + 3 s - s$
8484	Find the Exact Value	arccos(cos(pi/2)+1)	$\arccos (\cos (\frac{π}{2}) + 1)$
8485	Write the Fraction in Simplest Form	(5(b)^2)/(5b^5)	$\frac{5 {(b)}^{2}}{5 b^{5}}$
8486	Multiply	(4-b)(5b^2+5b-4)	$(4 - b) (5 b^{2} + 5 b - 4)$
8487	Solve the Inequality for r	r-7/8>1	$r - \frac{7}{8} > 1$
8488	Solve for x	-11 cube root of x+13=-20	$- 11 \sqrt[3]{x + 13} = - 20$
8489	Solve for x	(1/6)^(-2x^2-8x)=(1/216)^(-2x-28)	${(\frac{1}{6})}^{- 2 x^{2} - 8 x} = {(\frac{1}{216})}^{- 2 x - 28}$
8490	Write the Fraction in Simplest Form	(4(c)^3)/(3c^7)	$\frac{4 {(c)}^{3}}{3 c^{7}}$
8491	Simplify	(5x^3+2xy^2-4y^3)-(10x^3-8xy^2-12y^3)	$(5 x^{3} + 2 x y^{2} - 4 y^{3}) - (10 x^{3} - 8 x y^{2} - 12 y^{3})$
8492	Simplify	( square root of 8)^3	${(\sqrt{8})}^{3}$
8493	Simplify	eighth root of (n^7)/(n^5)	$\sqrt[8]{\frac{n^{7}}{n^{5}}}$
8494	Simplify the Radical Expression	cube root of square root of 729	$\sqrt[3]{\sqrt{729}}$
8495	Simplify the Radical Expression	square root of 4x^2+x	$\sqrt{4 x^{2} + x}$
8496	Solve for l	s=n/2(a+l)	$s = \frac{n}{2} (a + l)$
8497	Factor	5ab(x+6)-4(x+6)	$5 a b (x + 6) - 4 (x + 6)$
8498	Simplify	(2^4)/((2^-6)^-1)	$\frac{2^{4}}{{(2^{- 6})}^{- 1}}$
8499	Find the Domain	g(t)=sin(e^t-2)	$g (t) = \sin (e^{t} - 2)$
8500	Simplify	2x^2(x^3+x^2+4x)	$2 x^{2} (x^{3} + x^{2} + 4 x)$