Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19801	Simplify	12 cube root of 2(-4)	$12 \sqrt[3]{2 (- 4)}$
19802	Solve for x	8^(x-2)-2^3=56	$8^{x - 2} - 2^{3} = 56$
19803	Find Amplitude, Period, and Phase Shift	y=-2tan(x-pi/4)+1	$y = - 2 \tan (x - \frac{π}{4}) + 1$
19804	Solve by Substitution	y=2x+1 and y=4x-1	$y = 2 x + 1$ and $y = 4 x - 1$
19805	Solve for x	9x-2-7x(1/x-1/2)=(1+x/2)/2+11/4	$9 x - 2 - 7 x (\frac{1}{x} - \frac{1}{2}) = \frac{1 + \frac{x}{2}}{2} + \frac{11}{4}$
19806	Graph	a=4 and b=-1	$a = 4$ and $b = - 1$
19807	Solve for p	1/3* log base 5 of 64 = log base 5 of 8+ log base 5 of p	$\frac{1}{3} \cdot \log_{5} (64) = \log_{5} (8) + \log_{5} (p)$
19808	Simplify	11^(1/3)11^(1/3)11^(1/3)	$11^{\frac{1}{3}} \cdot 11^{\frac{1}{3}} \cdot 11^{\frac{1}{3}}$
19809	Multiply	(7x+2) and (5x-11)	$(7 x + 2)$ and $(5 x - 11)$
19810	Find the Holes in the Graph	f(x)=(x^2+2x-3)/x	$f (x) = \frac{x^{2} + 2 x - 3}{x}$
19811	Simplify	(4x-1)/(6x^3)+2/(3x^2)	$\frac{4 x - 1}{6 x^{3}} + \frac{2}{3 x^{2}}$
19812	Find the Degree, Leading Term, and Leading Coefficient	x+1/6	$x + \frac{1}{6}$
19813	Evaluate	(2.5110*21.20)÷(44.11+1.223)	$2.511 \times 21.2 \div (44.11 + 1.223)$
19814	Subtract	(-7n^2+8n-4)-(-11n+2-14n^2)	$(- 7 n^{2} + 8 n - 4) - (- 11 n + 2 - 14 n^{2})$
19815	Simplify	i^12i^11i^29*i^14	$i^{12} \cdot i^{11} \cdot i^{29} \cdot i^{14}$
19816	Simplify	(6x^2)/(x(x-3))*(x-3)/(10(x+2))	$\frac{6 x^{2}}{x (x - 3)} \cdot \frac{(x - 3)}{10 (x + 2)}$
19817	Evaluate	fourth root of 8* fourth root of 8	$\sqrt[4]{8} \cdot \sqrt[4]{8}$
19818	Solve for x	(4-x)^(1/3)-2=3	${(4 - x)}^{\frac{1}{3}} - 2 = 3$
19819	Solve for x	x-3=-3+x	$x - 3 = - 3 + x$
19820	Simplify	(5^(5/3)*5^(7/6))^-1	${(5^{\frac{5}{3}} \cdot 5^{\frac{7}{6}})}^{- 1}$
19821	Determine if True	sec(x)-cos(x)=sin(x)tan(x)	$\sec (x) - \cos (x) = \sin (x) \tan (x)$
19822	Solve the System of Equations	2x+3y=8 -2x+-5y=-20	$2 x + 3 y = 8$ $- 2 x + - 5 y = - 20$
19823	Add	65/100+2/10	$\frac{65}{100} + \frac{2}{10}$
19824	Solve for x	1-2/(x+5)=(3x+7)/(x^2+14x+45)	$1 - \frac{2}{x + 5} = \frac{3 x + 7}{x^{2} + 14 x + 45}$
19825	Find the Domain	f(x)=(4cos(x))/(1-sin(x))	$f (x) = \frac{4 \cos (x)}{1 - \sin (x)}$
19826	Solve the Inequality for y	3/5(15y-5)>=5(2y+1)	$\frac{3}{5} (15 y - 5) \geq 5 (2 y + 1)$
19827	Simplify	3^x3^(2-x)3^2	$3^{x} \cdot 3^{2 - x} \cdot 3^{2}$
19828	Simplify	(3a^-1c^-5)/(d^0)	$\frac{3 a^{- 1} c^{- 5}}{d^{0}}$
19829	Solve the System of Equations	Solve 7x-2y=-3 14x+y=14	Solve $7 x - 2 y = - 3$ $14 x + y = 14$
19830	Solve for x	10=3.1+40(x/140)-16(x/140)^2	$10 = 3.1 + 40 (\frac{x}{140}) - 16 {(\frac{x}{140})}^{2}$
19831	Write in Standard Form	3a(6a^2-4ab^2)+8a^2b^2-2b^3	$3 a (6 a^{2} - 4 a b^{2}) + 8 a^{2} b^{2} - 2 b^{3}$
19832	Solve for θ in Radians	sin(2theta)+ square root of 3cos(theta)=0	$\sin (2 θ) + \sqrt{3} \cos (θ) = 0$
19833	Solve for x	cos(3x)+cos(x)=0	$\cos (3 x) + \cos (x) = 0$
19834	Write Using Positive Exponents	-3^-2	$- 3^{- 2}$
19835	Solve for n	1/14n+6/17n=-4+4	$\frac{1}{14} n + \frac{6}{17} n = - 4 + 4$
19836	Simplify	6÷2-(81÷(3^2))	$6 \div 2 - (81 \div 3^{2})$
19837	Solve for x	(16-2x)/-4=9	$\frac{16 - 2 x}{- 4} = 9$
19838	Solve for x	3^(4-3x)>(1/243)	$3^{4 - 3 x} > (\frac{1}{243})$
19839	Evaluate Using the Given Value	The value of the expression x/y when x=35 and y=7 is	The value of the expression $\frac{x}{y}$ when $x = 35$ and $y = 7$ is
19840	Solve for p	-75=15(p+2)	$- 75 = 15 (p + 2)$
19841	Evaluate the Integral	integral from 1 to 9 of ((x-2)/( square root of x)) with respect to x	$\int_{1}^{9} (\frac{x - 2}{\sqrt{x}}) d x$
19842	Simplify	((2x)^3)/(2x^3)*4x^5	$\frac{{(2 x)}^{3}}{2 x^{3}} \cdot 4 x^{5}$
19843	Evaluate the Limit	limit as x approaches 1 of (3-f(x))/(1-4g(x))	$lim_{x \to 1} \frac{3 - f (x)}{1 - 4 g (x)}$
19844	Solve for x	-2cos(x)^2+sin(x)+1=0	$- 2 \cos^{2} (x) + \sin (x) + 1 = 0$
19845	Graph	x<=y/9	$x \leq \frac{y}{9}$
19846	Find the Integral	xe^(x^2)dx	$x e^{x^{2}} d x$
19847	Convert to Radical Form	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
19848	Solve for m	m = square root of 56-m	$m = \sqrt{56 - m}$
19849	Expand the Logarithmic Expression	log base 2 of fourth root of c^10d^16	$\log_{2} (\sqrt[4]{c^{10} d^{16}})$
19850	Solve the Rational Equation for x	-(3x)/(x-6)-1/(x+1)=6/(x^2-5x-6)	$- \frac{3 x}{x - 6} - \frac{1}{x + 1} = \frac{6}{x^{2} - 5 x - 6}$
19851	Solve for x	c=(ax+by)f	$c = (a x + b y) f$
19852	Write in Standard Form	(7-4k^2+k)+(8k+5k^2-7)	$(7 - 4 k^{2} + k) + (8 k + 5 k^{2} - 7)$
19853	Simplify the Radical Expression	2 cube root of 24a^2+ cube root of 81a^2-6 cube root of 3a^2	$2 \sqrt[3]{24 a^{2}} + \sqrt[3]{81 a^{2}} - 6 \sqrt[3]{3 a^{2}}$
19854	Find dz/dx	z=(2x^(1/3)+y^(1/2))^3	$z = {(2 x^{\frac{1}{3}} + y^{\frac{1}{2}})}^{3}$
19855	Solve for x	2x^2-4x+5=-3	$2 x^{2} - 4 x + 5 = - 3$
19856	Solve the Absolute Value Inequality for x	\|2x+7\|+7>6	$\| 2 x + 7 \| + 7 > 6$
19857	Find g(f(x))	f(x)=-3x g(x)=-x+8	$f (x) = - 3 x$ $g (x) = - x + 8$
19858	Determine if True	(2-(1-cos(x)^2))=(1+cos(x)^2)	$(2 - (1 - \cos^{2} (x))) = (1 + \cos^{2} (x))$
19859	Solve for s	s^2=0	$s^{2} = 0$
19860	Integrate Using u-Substitution	integral of x square root of x^2+1 with respect to x	$\int x \sqrt{x^{2} + 1} d x$
19861	Find the Exact Value	3/4+((1/3)÷(1/6))-(-1/2)	$\frac{3}{4} + (\frac{1}{3} \div \frac{1}{6}) - (- \frac{1}{2})$
19862	Integrate Using Partial Fractions	integral of x/(x-6) with respect to x	$\int \frac{x}{x - 6} d x$
19863	Combine Like Terms	9x-5x+2x-1	$9 x - 5 x + 2 x - 1$
19864	Evaluate	5^2(1/40)+6^2(1/8)+7^2(3/10)+8^2(7/40)+9^2(11/40)+10^2(1/20)+11^2(1/20)	$5^{2} (\frac{1}{40}) + 6^{2} (\frac{1}{8}) + 7^{2} (\frac{3}{10}) + 8^{2} (\frac{7}{40}) + 9^{2} (\frac{11}{40}) + 10^{2} (\frac{1}{20}) + 11^{2} (\frac{1}{20})$
19865	Simplify	(x^7(-y^8z^5)^2)^3	${(x^{7} {(- y^{8} z^{5})}^{2})}^{3}$
19866	Find Where Increasing/Decreasing	f(x)=x natural log of x	$f (x) = x \ln (x)$
19867	Write in Standard Form	(3x^2+x-1)(2x^2+4x+4)	$(3 x^{2} + x - 1) (2 x^{2} + 4 x + 4)$
19868	Find the Antiderivative	(x+1)(x+2)(x+3)	$(x + 1) (x + 2) (x + 3)$
19869	Solve for y	y^2+y=20	$y^{2} + y = 20$
19870	Solve the Rational Equation for x	(4^(x/2))(4^(x/5))=4^14	$(4^{\frac{x}{2}}) (4^{\frac{x}{5}}) = 4^{14}$
19871	Write in Standard Form	(-2x^2-2x+1)+(-8x^2-7)	$(- 2 x^{2} - 2 x + 1) + (- 8 x^{2} - 7)$
19872	Solve Using the Quadratic Formula	10x^2-6x+4=-3x	$10 x^{2} - 6 x + 4 = - 3 x$
19873	Divide	( sixth root of 4)/( cube root of 4)	$\frac{\sqrt[6]{4}}{\sqrt[3]{4}}$
19874	Simplify	(2/3)^2+(1/3)^2	${(\frac{2}{3})}^{2} + {(\frac{1}{3})}^{2}$
19875	Graph	-16<x/-4+6<=-2	$- 16 < \frac{x}{- 4} + 6 \leq - 2$
19876	Graph	y=-5x-2 y+2=-5x	$y = - 5 x - 2$ $y + 2 = - 5 x$
19877	Simplify	(a+ square root of ab)/( square root of a+ square root of b)	$\frac{a + \sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
19878	Find the Holes in the Graph	(-5x)/(3x+11)	$\frac{- 5 x}{3 x + 11}$
19879	Subtract	(2x-7y)/(2x^2y)-(5y-8x)/(5xy^2)	$\frac{2 x - 7 y}{2 x^{2} y} - \frac{5 y - 8 x}{5 x y^{2}}$
19880	Solve for k	5+6^(2k-9)=14	$5 + 6^{2 k - 9} = 14$
19881	Factor	xy^2+xy	$x y^{2} + x y$
19882	Simplify	(36c+24)/6-(20c-16)/4	$\frac{36 c + 24}{6} - \frac{20 c - 16}{4}$
19883	Evaluate	(2a)/3-(3a)/2=-5/2	$\frac{2 a}{3} - \frac{3 a}{2} = - \frac{5}{2}$
19884	Find Amplitude, Period, and Phase Shift	F(x)=3sin(2x-2)	$F (x) = 3 \sin (2 x - 2)$
19885	Evaluate	3*8-4÷2+1/2	$3 \cdot 8 - 4 \div 2 + \frac{1}{2}$
19886	Add	pi/3+pi/3	$\frac{π}{3} + \frac{π}{3}$
19887	Find the Exact Value	log base 25 of 1/125	$\log_{25} (\frac{1}{125})$
19888	Evaluate the Limit	limit as x approaches -1 of (x^3-5x+7)/(1-x+x^2-x^3)	$lim_{x \to - 1} \frac{x^{3} - 5 x + 7}{1 - x + x^{2} - x^{3}}$
19889	Solve for s	18s-6(6s-1)=-20s	$18 s - 6 (6 s - 1) = - 20 s$
19890	Solve for y	-180/y=15	$- \frac{180}{y} = 15$
19891	Simplify the Radical Expression	x square root of 54x^4y^6	$x \sqrt{54 x^{4} y^{6}}$
19892	Solve the System of Equations	y+z=4 x+z=8 x+2y+2z=12	$y + z = 4$ $x + z = 8$ $x + 2 y + 2 z = 12$
19893	Simplify	(x+10)(x-1)(x-1)(x-1)	$(x + 10) (x - 1) (x - 1) (x - 1)$
19894	Solve for d	square root of 7d+2 = square root of 10d-1	$\sqrt{7 d + 2} = \sqrt{10 d - 1}$
19895	Write in Standard Form	-2/3x=6-2y	$- \frac{2}{3} x = 6 - 2 y$
19896	Solve the System of Inequalities	12x-39<=9 AND -4x+3<-6	$12 x - 39 \leq 9$ AND $- 4 x + 3 < - 6$
19897	Convert to a Percentage	what percent of 60 is 15	what percent of $60$ is $15$
19898	Evaluate	3*1+3^2-6÷2	$3 \cdot 1 + 3^{2} - 6 \div 2$
19899	Solve the Inequality for p	p-4<2	$p - 4 < 2$
19900	Multiply	4x^(5/4)*2x^(1/2)	$4 x^{\frac{5}{4}} \cdot 2 x^{\frac{1}{2}}$