Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222701	Solve for x	(1/3)^(x+1)=27^x	${(\frac{1}{3})}^{x + 1} = 27^{x}$
222702	Describe the Transformation	f(x)=6^x , g(x)=6^x+8	$f (x) = 6^{x}$ , $g (x) = 6^{x} + 8$
222703	Evaluate	(1/x)^0	${(\frac{1}{x})}^{0}$
222704	Evaluate	(cot((3pi)/2)-cot(pi/3))/((3pi)/2-pi/3)	$\frac{\cot (\frac{3 π}{2}) - \cot (\frac{π}{3})}{\frac{3 π}{2} - \frac{π}{3}}$
222705	Simplify	(5i)^2(-x+i)	${(5 i)}^{2} (- x + i)$
222706	Solve the System of Equations	x+y=5 y+1=3x^2+2x	$x + y = 5$ $y + 1 = 3 x^{2} + 2 x$
222707	Evaluate	(0.5^2-2*0.5+4)	$({0.5}^{2} - 2 \cdot 0.5 + 4)$
222708	Solve for d	d^2=0	$d^{2} = 0$
222709	Simplify	square root of -8-2 square root of -50+ square root of 27-i square root of 108	$\sqrt{- 8} - 2 \sqrt{- 50} + \sqrt{27} - i \sqrt{108}$
222710	Evaluate	5*(1/2)^1	$5 \cdot {(\frac{1}{2})}^{1}$
222711	Solve for x	(1/8)^(3x)*64^(2x+1)=4	${(\frac{1}{8})}^{3 x} \cdot 64^{2 x + 1} = 4$
222712	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+7x^2+9x+10 is divided by 2x+5	Use the long division method to find the result when $2 x^{3} + 7 x^{2} + 9 x + 10$ is divided by $2 x + 5$
222713	Multiply	3(1)^2	$3 {(1)}^{2}$
222714	Simplify	2/(3/2-4/3)	$\frac{2}{\frac{3}{2} - \frac{4}{3}}$
222715	Solve for x	3/4(x+21)=10 1/2	$\frac{3}{4} (x + 21) = 10 \frac{1}{2}$
222716	Simplify	(2i)/( square root of 3i)	$\frac{2 i}{\sqrt{3} i}$
222717	Evaluate	3+ square root of x+2=11	$3 + \sqrt{x + 2} = 11$
222718	Solve the Inequality for x	-2<5+3x<20	$- 2 < 5 + 3 x < 20$
222719	Simplify	6-a+4-12a-11	$6 - a + 4 - 12 a - 11$
222720	Find the x and y Intercepts	f(x)=4(4x+3)(x+1)^2(x^2-3)	$f (x) = 4 (4 x + 3) {(x + 1)}^{2} (x^{2} - 3)$
222721	Find the GCF	12ab^3+20b	$12 a b^{3} + 20 b$
222722	Evaluate	1/(sec(x))	$\frac{1}{\sec (x)}$
222723	Write in Standard Form	a^2+4a-5a^2-a	$a^{2} + 4 a - 5 a^{2} - a$
222724	Evaluate	((3x^2y^-3)/(2x^-3y^2))^3	${(\frac{3 x^{2} y^{- 3}}{2 x^{- 3} y^{2}})}^{3}$
222725	Find the Equation Using Two Points	f(-3)=1 and f(13)=5	$f (- 3) = 1$ and $f (13) = 5$
222726	Solve for y	c=9(y+k)	$c = 9 (y + k)$
222727	Simplify	((24-6x)/(x^2-10x+24)*(x^2-8x+12)/(10-x))÷((x^2+8x-20)/(100x-x^3))	$\frac{24 - 6 x}{x^{2} - 10 x + 24} \cdot \frac{x^{2} - 8 x + 12}{10 - x} \div \frac{x^{2} + 8 x - 20}{100 x - x^{3}}$
222728	Find the Excluded Values	((-x^2+x+20)/(5x^2-25x))÷((x+4)/(2x-14))	$\frac{- x^{2} + x + 20}{5 x^{2} - 25 x} \div \frac{x + 4}{2 x - 14}$
222729	Simplify	((-x^2+x+20)/(5x^2-25x))÷((x+4)/(2x-14))	$\frac{- x^{2} + x + 20}{5 x^{2} - 25 x} \div \frac{x + 4}{2 x - 14}$
222730	Solve the Inequality for x	(x+3)/8-(x+5)/5>=3/10	$\frac{x + 3}{8} - \frac{x + 5}{5} \geq \frac{3}{10}$
222731	Simplify	(2x^2+3x+5)-(x^3-2x^2+5)	$(2 x^{2} + 3 x + 5) - (x^{3} - 2 x^{2} + 5)$
222732	Simplify	(2f^4-5f^3-3f^2)-(4f^4-3f^3-f^2-4f)	$(2 f^{4} - 5 f^{3} - 3 f^{2}) - (4 f^{4} - 3 f^{3} - f^{2} - 4 f)$
222733	Solve the System of Equations	-2y=-x+7 and 8y=4x-10	$- 2 y = - x + 7$ and $8 y = 4 x - 10$
222734	Solve for x	(x-3)^2+(x-6)^2=x^2	${(x - 3)}^{2} + {(x - 6)}^{2} = x^{2}$
222735	Solve for m	(8m-9)=(21m-17)	$(8 m - 9) = (21 m - 17)$
222736	Solve for x	-1/2(-10x+6)+x=3/2(6x-4)	$- \frac{1}{2} (- 10 x + 6) + x = \frac{3}{2} (6 x - 4)$
222737	Simplify	(5x-y^3)^3	${(5 x - y^{3})}^{3}$
222738	Simplify	(3 square root of 8)+(2 square root of 2)	$(3 \sqrt{8}) + (2 \sqrt{2})$
222739	Evaluate	60/1*pi/180	$\frac{60}{1} \cdot \frac{π}{180}$
222740	Evaluate	i^9i^10i^19*i^24	$i^{9} \cdot i^{10} \cdot i^{19} \cdot i^{24}$
222741	Solve the Inequality for x	x^2+16x+24>6x	$x^{2} + 16 x + 24 > 6 x$
222742	Graph	- square root of 4-x^2	$- \sqrt{4 - x^{2}}$
222743	Find the Midpoint	A=(3,5) and B=(5,9)	$A = (3, 5)$ and $B = (5, 9)$
222744	Solve for c	9x+3=cx+3+4x	$9 x + 3 = c x + 3 + 4 x$
222745	Simplify	(d^-2e^3)/(e^-5d^7)	$\frac{d^{- 2} e^{3}}{e^{- 5} d^{7}}$
222746	Solve for x	-x=6.8x-4(2.2x-6)-10	$- x = 6.8 x - 4 (2.2 x - 6) - 10$
222747	Factor	4x(5x^2-3)-5(5x^2-3)	$4 x (5 x^{2} - 3) - 5 (5 x^{2} - 3)$
222748	Write the Fraction in Simplest Form	(3q^2)/(-2(p^3q^-5)^-1)	$\frac{3 q^{2}}{- 2 {(p^{3} q^{- 5})}^{- 1}}$
222749	Solve for x	-3/7+5/x=-1/(7x)	$\frac{- 3}{7} + \frac{5}{x} = \frac{- 1}{7 x}$
222750	Find the Standard Form of the Parabola	y^2+8x+8=0	$y^{2} + 8 x + 8 = 0$
222751	Simplify	(x+y)(x^2+xy+y^2)	$(x + y) (x^{2} + x y + y^{2})$
222752	Multiply	(p+10)/(9-p)*(p^2-5p-36)/(4p^2+16p)	$\frac{p + 10}{9 - p} \cdot \frac{p^{2} - 5 p - 36}{4 p^{2} + 16 p}$
222753	Evaluate	sec(theta) = square root of 2	$\sec (θ) = \sqrt{2}$
222754	Solve for z	3+z/4+5=19	$3 + \frac{z}{4} + 5 = 19$
222755	Solve the System of Equations	-x+2y=-4 and -6x+9y=-12	$- x + 2 y = - 4$ and $- 6 x + 9 y = - 12$
222756	Multiply	5a(-3b)(-2a^2b^3)	$5 a (- 3 b) (- 2 a^{2} b^{3})$
222757	Solve for k	sin(4x)^2=1/2(1-cos(kx))	$\sin^{2} (4 x) = \frac{1}{2} (1 - \cos (k x))$
222758	Solve the System of Equations	-3z=-9 3y+5z=-3 -2x+2y+5z=-3	$- 3 z = - 9$ $3 y + 5 z = - 3$ $- 2 x + 2 y + 5 z = - 3$
222759	Find the Exact Value	csc((7pi)/4)^2	$\csc^{2} (\frac{7 π}{4})$
222760	Evaluate	85% of 60	$85 %$ of $60$
222761	Find the x and y Intercepts	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
222762	Simplify	(3+ square root of 2x)^2	${(3 + \sqrt{2 x})}^{2}$
222763	Graph	xy^2=2+xy	$x y^{2} = 2 + x y$
222764	Evaluate	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
222765	Solve the Rational Equation for x	square root of x+ square root of x-8=2	$\sqrt{x} + \sqrt{x - 8} = 2$
222766	Solve for x	square root of x-4 = square root of 2x	$\sqrt{x - 4} = \sqrt{2 x}$
222767	Solve the Inequality for x	x^3+7x^2+10x>=0	$x^{3} + 7 x^{2} + 10 x \geq 0$
222768	Find the Union	[-2,4] intersect [4,infinity)	$[- 2, 4] \cap [4, \infty)$
222769	Expand Using Pascal's Triangle	(2x-3y^2)^3	${(2 x - 3 y^{2})}^{3}$
222770	Evaluate the Function	f(x)=x^5-47x^3-16x^2+8x+52 at x=7	$f (x) = x^{5} - 47 x^{3} - 16 x^{2} + 8 x + 52$ at $x = 7$
222771	Simplify	(15/6)^0	${(\frac{15}{6})}^{0}$
222772	Solve the Inequality for x	21>=3(x-7)+9	$21 \geq 3 (x - 7) + 9$
222773	Evaluate	7/( square root of 9-7^2)	$\frac{7}{\sqrt{9 - 7^{2}}}$
222774	Simplify	(\|x-2\|)/( square root of x)	$\frac{\| x - 2 \|}{\sqrt{x}}$
222775	Simplify	(3 square root of x^2)^6	${(3 \sqrt{x^{2}})}^{6}$
222776	Solve for w	4/(w+4)=8/(2w+8)-3	$\frac{4}{w + 4} = \frac{8}{2 w + 8} - 3$
222777	Round to the Nearest Whole Number	1/8	$\frac{1}{8}$
222778	Evaluate	e^x=e^(x^2-2)	$e^{x} = e^{x^{2} - 2}$
222779	Multiply	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
222780	Evaluate	e=mc^2	$e = m c^{2}$
222781	Simplify	((5n)/-3)^-3	${(\frac{5 n}{- 3})}^{- 3}$
222782	Simplify	1/(5x^3)+1/(15x)	$\frac{1}{5 x^{3}} + \frac{1}{15 x}$
222783	Evaluate	(sin(2)(-0.1))/-0.1	$\frac{\sin (2) (- 0.1)}{- 0.1}$
222784	Simplify	(-3x^2+4x-1)+(-5+4x+2x^2)	$(- 3 x^{2} + 4 x - 1) + (- 5 + 4 x + 2 x^{2})$
222785	Solve for x	5/4(x+1/5)=21/4	$\frac{5}{4} (x + \frac{1}{5}) = \frac{21}{4}$
222786	Simplify	4p(q-1)+q(1-p)	$4 p (q - 1) + q (1 - p)$
222787	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+4x^2-5x-2 is divided by x+2	Use synthetic division to find the result when $3 x^{3} + 4 x^{2} - 5 x - 2$ is divided by $x + 2$
222788	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+11x^2-18x+10 is divided by x+5	Use synthetic division to find the result when $3 x^{3} + 11 x^{2} - 18 x + 10$ is divided by $x + 5$
222789	Find the Inverse	y=(1- square root of x)/(1+ square root of x)	$y = \frac{1 - \sqrt{x}}{1 + \sqrt{x}}$
222790	Evaluate	((3x^(3/2)y^3)/(x^2y^(-1/2)))^-2	${(\frac{3 x^{\frac{3}{2}} y^{3}}{x^{2} y^{- \frac{1}{2}}})}^{- 2}$
222791	Solve the Rational Equation for x	-2/(x(x+2))=(x+3)/(x+2)	$- \frac{2}{x (x + 2)} = \frac{x + 3}{x + 2}$
222792	Solve the Inequality for x	-2x^2+2<=x+1	$- 2 x^{2} + 2 \leq x + 1$
222793	Solve the Inequality for y	1>=(-y)/4	$1 \geq \frac{- y}{4}$
222794	Solve the Rational Equation for x	5 square root of x+2=12	$5 \sqrt{x} + 2 = 12$
222795	Evaluate	28 root of 1/(p^6*p)	$\sqrt[28]{\frac{1}{p^{6} \cdot p}}$
222796	Convert to Interval Notation	x<1 and x>-2	$x < 1$ and $x > - 2$
222797	Solve the Rational Equation for x	2/(x-3)+1/x=(x-1)/(x-3)	$\frac{2}{x - 3} + \frac{1}{x} = \frac{x - 1}{x - 3}$
222798	Find the Roots (Zeros)	x^5-3x^4-8x^3-8x^2-9x-5=0	$x^{5} - 3 x^{4} - 8 x^{3} - 8 x^{2} - 9 x - 5 = 0$
222799	Simplify	(a+b)(b+c)(c+a)	$(a + b) (b + c) (c + a)$
222800	Find the Exact Value	sin(pi/6)cos(pi/3)-tan(pi/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{3}) - \tan (\frac{π}{4})$