Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218301	Solve the System of Equations	x-5y=-3 y=-2	$x - 5 y = - 3$ $y = - 2$
218302	Write in Standard Form	(2x^2+x+3)(2x^2-x+6)	$(2 x^{2} + x + 3) (2 x^{2} - x + 6)$
218303	Find the Determinant	B=[[4,-1,2],[2,5,-2],[0,-3,7]]	$B = [\begin{array}{c} 4 & - 1 & 2 \\ 2 & 5 & - 2 \\ 0 & - 3 & 7 \end{array}]$
218304	Find the Degree	x^2+bx+c	$x^{2} + b x + c$
218305	Solve for x	15/(x+3)=(3x+1)/4	$\frac{15}{x + 3} = \frac{3 x + 1}{4}$
218306	Find the Slope and y-intercept	-3y=9-12	$- 3 y = 9 - 12$
218307	Simplify	(n^(1/3))/(n^(1/6)*n^(1/2))	$\frac{n^{\frac{1}{3}}}{n^{\frac{1}{6}} \cdot n^{\frac{1}{2}}}$
218308	Simplify the Radical Expression	fourth root of x^14	$\sqrt[4]{x^{14}}$
218309	Solve for x	x+9=18+-2	$x + 9 = 18 + - 2$
218310	Solve for x	-16>x÷2	$- 16 > x \div 2$
218311	Divide Using Long Polynomial Division	(2x^3+3x^2+4x+5)÷(2x^2+3x+4)	$(2 x^{3} + 3 x^{2} + 4 x + 5) \div (2 x^{2} + 3 x + 4)$
218312	Find the Points of Intersection	y=x+16 x^2+y^2=128	$y = x + 16$ $x^{2} + y^{2} = 128$
218313	Solve the System of Inequalities	y>=-2x-1 y>=x+2	$y \geq - 2 x - 1$ $y \geq x + 2$
218314	Simplify	((23^-2)^3(53^2)^2)/((3^-2)(5*2)^2)	$\frac{{(2 \cdot 3^{- 2})}^{3} {(5 \cdot 3^{2})}^{2}}{(3^{- 2}) {(5 \cdot 2)}^{2}}$
218315	Solve for x	y=x/a+b	$y = \frac{x}{a} + b$
218316	Simplify the Radical Expression	(k^(2/5))(k^(6/7))	$(k^{\frac{2}{5}}) (k^{\frac{6}{7}})$
218317	Divide	(-3d^8f^6+27d^5f^8-15d^5f^6)/(-3d^5f^6)	$\frac{- 3 d^{8} f^{6} + 27 d^{5} f^{8} - 15 d^{5} f^{6}}{- 3 d^{5} f^{6}}$
218318	Evaluate	3-1(25^(1/2)-8^(1/3))(4^(1/2)+27^0)	$3 - 1 (25^{\frac{1}{2}} - 8^{\frac{1}{3}}) (4^{\frac{1}{2}} + 27^{0})$
218319	Graph	y=1÷x	$y = 1 \div x$
218320	Simplify	(x+4)/7+5x	$\frac{x + 4}{7} + 5 x$
218321	Evaluate	x^3-64=0	$x^{3} - 64 = 0$
218322	Find the LCD	(-5x)/(x+2) and (7x)/(5x+10)	$\frac{- 5 x}{x + 2}$ and $\frac{7 x}{5 x + 10}$
218323	Find All Complex Number Solutions	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
218324	Evaluate	sin(x)+cot(x)cos(x)	$\sin (x) + \cot (x) \cos (x)$
218325	Solve for x	(x^2)/25=36	$\frac{x^{2}}{25} = 36$
218326	Simplify/Condense	1/2 log base 8 of x+ log base 8 of y	$\frac{1}{2} \log_{8} (x) + \log_{8} (y)$
218327	Evaluate	(8x^2-15x)-(x^2-27x)=ax^2+bx	$(8 x^{2} - 15 x) - (x^{2} - 27 x) = a x^{2} + b x$
218328	Find the Product	(a+b)*2	$(a + b) \cdot 2$
218329	Simplify	(3x^3y^2)/(4x^3y^3)	$\frac{3 x^{3} y^{2}}{4 x^{3} y^{3}}$
218330	Evaluate	1/81<9^(2x-4)	$\frac{1}{81} < 9^{2 x - 4}$
218331	Simplify	( square root of 40m^3)/( square root of 10n^4)	$\frac{\sqrt{40 m^{3}}}{\sqrt{10 n^{4}}}$
218332	Find the Inverse	f(x) = square root of x-2 ; for x>=2	$f (x) = \sqrt{x - 2}$ ; for $x \geq 2$
218333	Solve the Inequality for x	3x^2+14x-180>=2x	$3 x^{2} + 14 x - 180 \geq 2 x$
218334	Simplify	(6x-30)/(x^2-7x+10)*(7x-14)/(6x)	$\frac{6 x - 30}{x^{2} - 7 x + 10} \cdot \frac{7 x - 14}{6 x}$
218335	Simplify	(5^2)-(-5^2)	$(5^{2}) - (- 5^{2})$
218336	Solve the System of Equations	x+y-z=6 3x-2y+z=-5 x+3y-2z=14	$x + y - z = 6$ $3 x - 2 y + z = - 5$ $x + 3 y - 2 z = 14$
218337	Solve for c	-7-c^2=-17	$- 7 - c^{2} = - 17$
218338	Find the Domain and Range	y=1/2*(1/4)^x	$y = \frac{1}{2} \cdot {(\frac{1}{4})}^{x}$
218339	Simplify	(d^-2)/(e^-5)	$\frac{d^{- 2}}{e^{- 5}}$
218340	Simplify	16(1+0.09)^8	$16 {(1 + 0.09)}^{8}$
218341	Graph	f(x)=1/2(1/5)^(x+5)+8	$f (x) = \frac{1}{2} {(\frac{1}{5})}^{x + 5} + 8$
218342	Simplify the Radical Expression	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
218343	Solve for k	-2(k-5)+2k=5k+5	$- 2 (k - 5) + 2 k = 5 k + 5$
218344	Find the Quotient	(x^4-3x^3+6x^2-12x+8)÷(x-1)	$(x^{4} - 3 x^{3} + 6 x^{2} - 12 x + 8) \div (x - 1)$
218345	Find the Degree, Leading Term, and Leading Coefficient	k(x)=2(x-3)^2(x+1)^3(x+2)	$k (x) = 2 {(x - 3)}^{2} {(x + 1)}^{3} (x + 2)$
218346	Solve for y	x=( square root of 5y)/15	$x = \frac{\sqrt{5 y}}{15}$
218347	Describe the Transformation	square root of -7(x+3)+2	$\sqrt{- 7 (x + 3)} + 2$
218348	Simplify	x^9y^4(4x^-1y^2)^3	$x^{9} y^{4} {(4 x^{- 1} y^{2})}^{3}$
218349	Solve for x	x+5.5+8=5x-13.5-4x	$x + 5.5 + 8 = 5 x - 13.5 - 4 x$
218350	Simplify the Radical Expression	3 square root of 4x	$3 \sqrt{4 x}$
218351	Solve for q	3/p+1/q=16/(5p)	$\frac{3}{p} + \frac{1}{q} = \frac{16}{5 p}$
218352	Simplify the Radical Expression	(2+ square root of 3)(2- square root of 3)	$(2 + \sqrt{3}) (2 - \sqrt{3})$
218353	Simplify	(xx^5)/(x^2x)	$\frac{x \cdot x^{5}}{x^{2} \cdot x}$
218354	Evaluate Using the Given Value	Evaluate 1/2a^-4b^2 for a=-2 and b=4	Evaluate $\frac{1}{2} a^{- 4} b^{2}$ for $a = - 2$ and $b = 4$
218355	Simplify	(3y(y-8)(y^2+2y-24))/(15y^2(y^2-12y+32))	$\frac{3 y (y - 8) (y^{2} + 2 y - 24)}{15 y^{2} (y^{2} - 12 y + 32)}$
218356	Solve the Inequality for m	3m+2<5	$3 m + 2 < 5$
218357	Graph	f(x)=3x+3\|x\|	$f (x) = 3 x + 3 \| x \|$
218358	Simplify	2 2/3m+2/3m-m	$2 \frac{2}{3} m + \frac{2}{3} m - m$
218359	Divide	(x^2-4xy)÷x	$(x^{2} - 4 x y) \div x$
218360	Solve for x	12x-2(4-x)+4-(1-x)=3(x+2)-4(x-2)+10	$12 x - 2 (4 - x) + 4 - (1 - x) = 3 (x + 2) - 4 (x - 2) + 10$
218361	Find the LCM	4 and 14	$4$ and $14$
218362	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+7x^2+14x+10 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 7 x^{2} + 14 x + 10$ is divided by $x + 1$
218363	Solve for d	-1/4(d+1)<2	$- \frac{1}{4} (d + 1) < 2$
218364	Simplify	(16/(m-1))/(16/5-16/25)	$\frac{\frac{16}{m - 1}}{\frac{16}{5} - \frac{16}{25}}$
218365	Find All Complex Solutions	square root of x=-3	$\sqrt{x} = - 3$
218366	Solve the System of Equations	6x=7-2y 4x+y=4	$6 x = 7 - 2 y$ $4 x + y = 4$
218367	Simplify	square root of 25* cube root of -8	$\sqrt{25} \cdot \sqrt[3]{- 8}$
218368	Evaluate	(5^2-9*3)^2-11	${(5^{2} - 9 \cdot 3)}^{2} - 11$
218369	Factor	2m(32m+1)+3(53m-2)	$2 m (32 m + 1) + 3 (53 m - 2)$
218370	Subtract	-7x-9-4x^2+3x-5	$- 7 x - 9 - 4 x^{2} + 3 x - 5$
218371	Solve for y	log base 9 of y=1/2	$\log_{9} (y) = \frac{1}{2}$
218372	Find g(f(x))	f(x)=-2x+5 g(x)=x^2+x+10	$f (x) = - 2 x + 5$ $g (x) = x^{2} + x + 10$
218373	Simplify	(3(4)^2-3)/((2*7)+1)	$\frac{3 {(4)}^{2} - 3}{(2 \cdot 7) + 1}$
218374	Solve for x	(x-8)/4<=(x-4)/6+1/12	$\frac{x - 8}{4} \leq \frac{x - 4}{6} + \frac{1}{12}$
218375	Find the Roots (Zeros)	(2x-1)	$(2 x - 1)$
218376	Simplify	130(y/5-1/13)	$130 (\frac{y}{5} - \frac{1}{13})$
218377	Simplify	3x^-2*(2x)^3	$3 x^{- 2} \cdot {(2 x)}^{3}$
218378	Find the Product	2h(-7h^2-4h)	$2 h (- 7 h^{2} - 4 h)$
218379	Simplify	x^3x^-4y^0	$x^{3} \cdot x^{- 4} \cdot y^{0}$
218380	Simplify	square root of x^16+16x^8	$\sqrt{x^{16} + 16 x^{8}}$
218381	Simplify	eighth root of (n^2p^-1)/(n^18p^7)	$\sqrt[8]{\frac{n^{2} p^{- 1}}{n^{18} p^{7}}}$
218382	Solve the Inequality for z	2(2.1z+4.5)<=21.6	$2 (2.1 z + 4.5) \leq 21.6$
218383	Graph	y>x y<=-x+2	$y > x$ $y \leq - x + 2$
218384	Find All Complex Solutions	x/3-1/4=1/3-x/4	$\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$
218385	Solve the System of Inequalities	5m-10<=-45 and -1-m>=-4	$5 m - 10 \leq - 45$ and $- 1 - m \geq - 4$
218386	Multiply	- cube root of 2x^2y^2*2 cube root of 15x^5y	$- \sqrt[3]{2 x^{2} y^{2}} \cdot 2 \sqrt[3]{15 x^{5} y}$
218387	Solve for x	(5x)÷6=20	$5 x \div 6 = 20$
218388	Simplify the Radical Expression	(b^(1/5))/b	$\frac{b^{\frac{1}{5}}}{b}$
218389	Write the Fraction in Simplest Form	(2q^-9b)/(5(q^-5b^-4)^2)	$\frac{2 q^{- 9} b}{5 {(q^{- 5} b^{- 4})}^{2}}$
218390	Solve for y	-5+11y-3=25	$- 5 + 11 y - 3 = 25$
218391	Find the Exact Value	3+3*3+3	$3 + 3 \cdot 3 + 3$
218392	Simplify	3/(4x^3)+1/x	$\frac{3}{4 x^{3}} + \frac{1}{x}$
218393	Simplify	(a^(2/3)b^(-1/4))^0	${(a^{\frac{2}{3}} b^{- \frac{1}{4}})}^{0}$
218394	Determine if a Polynomial	1/2x^2-7y	$\frac{1}{2} x^{2} - 7 y$
218395	Multiply	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
218396	Evaluate	(3^2-4*3+3)/(3-3)	$\frac{3^{2} - 4 \cdot 3 + 3}{3 - 3}$
218397	Find the x and y Intercepts	f(x)=-5(x+1)(x^2-3)(x+1)(4x+5)^2	$f (x) = - 5 (x + 1) (x^{2} - 3) (x + 1) {(4 x + 5)}^{2}$
218398	Solve the Inequality for w	14*10^(0.5w)=100	$14 \cdot 10^{0.5 w} = 100$
218399	Solve the System of Equations	4x+2y=6 and 3x+y=9	$4 x + 2 y = 6$ and $3 x + y = 9$
218400	Find the Excluded Values	(n^2-13n+36)/(n^2+n-90)	$\frac{n^{2} - 13 n + 36}{n^{2} + n - 90}$