Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203501	Find the Degree, Leading Term, and Leading Coefficient	-1+6x+x^2+4x^4	$- 1 + 6 x + x^{2} + 4 x^{4}$
203502	Factor	x^4-9x^2+6x^3-54x-7x^2+63	$x^{4} - 9 x^{2} + 6 x^{3} - 54 x - 7 x^{2} + 63$
203503	Simplify	(24x^3)/(50x)*30/(8x^2)	$\frac{24 x^{3}}{50 x} \cdot \frac{30}{8 x^{2}}$
203504	Simplify	8(1/5x+3)+2/5x+1	$8 (\frac{1}{5} x + 3) + \frac{2}{5} x + 1$
203505	Solve for x	81^(6x-56)=(1/9)^(2x^2-10x)	$81^{6 x - 56} = {(\frac{1}{9})}^{2 x^{2} - 10 x}$
203506	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^3-11x^2-28x	$f (x) = - x^{3} - 11 x^{2} - 28 x$
203507	Solve for b	(b-8)/5=(b+3)/4	$\frac{b - 8}{5} = \frac{b + 3}{4}$
203508	Solve for x	( fifth root of 7)^x=7^(2x+3)	${(\sqrt[5]{7})}^{x} = 7^{2 x + 3}$
203509	Solve for n	2n=0.6+2.3n	$2 n = 0.6 + 2.3 n$
203510	Simplify	Subtract 3x^2+8x from -9x^2+3x-8	Subtract $3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
203511	Solve Using the Quadratic Formula	x^2*4x+4=0	$x^{2} \cdot 4 x + 4 = 0$
203512	Evaluate	(-5+14)/-15	$\frac{- 5 + 14}{- 15}$
203513	Solve the Inequality for t	-3t+9>=-21	$- 3 t + 9 \geq - 21$
203514	Simplify	( fourth root of 16x^16y^24)/( fourth root of x^2y^4)	$\frac{\sqrt[4]{16 x^{16} y^{24}}}{\sqrt[4]{x^{2} y^{4}}}$
203515	Simplify	((3x^2+13x+4)/(x^2-4))÷((4x+16)/(x+2))	$\frac{3 x^{2} + 13 x + 4}{x^{2} - 4} \div \frac{4 x + 16}{x + 2}$
203516	Convert to Radical Form	1/((7x)^(-1/3))	$\frac{1}{{(7 x)}^{- \frac{1}{3}}}$
203517	Simplify the Radical Expression	sixth root of (x^6)/(y^12)	$\sqrt[6]{\frac{x^{6}}{y^{12}}}$
203518	Simplify	(xy^6)/(y^4x)	$\frac{x y^{6}}{y^{4} x}$
203519	Solve for x	-0.2(x-3)-x-0.9=0.4x+0.5	$- 0.2 (x - 3) - x - 0.9 = 0.4 x + 0.5$
203520	Factor	12au-16yv^2+8av^2-24yu	$12 a u - 16 y v^{2} + 8 a v^{2} - 24 y u$
203521	Solve the Absolute Value Inequality for x	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$
203522	Simplify	(2^3c^4t^2)/(2^2c^4t^2)	$\frac{2^{3} c^{4} t^{2}}{2^{2} c^{4} t^{2}}$
203523	Evaluate the Function	F(x)=x^4-7x^2+2x-6 at x=1	$F (x) = x^{4} - 7 x^{2} + 2 x - 6$ at $x = 1$
203524	Simplify	(4z)^-3*(2z)^5	${(4 z)}^{- 3} \cdot {(2 z)}^{5}$
203525	Evaluate	(2^0+3^-2)/(3^-1)	$\frac{2^{0} + 3^{- 2}}{3^{- 1}}$
203526	Solve for y	(y+5)/2-(y-2)/4=(y+7)/3+1	$\frac{y + 5}{2} - \frac{y - 2}{4} = \frac{y + 7}{3} + 1$
203527	Graph	y>=3x-5 3x-y>-4	$y \geq 3 x - 5$ $3 x - y > - 4$
203528	Simplify	(4 square root of 6)/(4 square root of 27)	$\frac{4 \sqrt{6}}{4 \sqrt{27}}$
203529	Evaluate	plus or minus square root of 1/64	$\pm \sqrt{\frac{1}{64}}$
203530	Rationalize the Denominator	cube root of 27/8	$\sqrt[3]{\frac{27}{8}}$
203531	Simplify	((52^5)/(4^5))^(1/6)	${(\frac{52^{5}}{4^{5}})}^{\frac{1}{6}}$
203532	Solve for x	(3-6x)/3=7x-1	$\frac{3 - 6 x}{3} = 7 x - 1$
203533	Simplify	12+(-4)-2/5j-4/5j+5	$12 + (- 4) - \frac{2}{5} j - \frac{4}{5} j + 5$
203534	Solve for z	7.225/z=85	$\frac{7.225}{z} = 85$
203535	Graph	y=5/2x-1 y=7/2x-3	$y = \frac{5}{2} x - 1$ $y = \frac{7}{2} x - 3$
203536	Solve for t	S(t)=2t^(3/2)-9t+6	$S (t) = 2 t^{\frac{3}{2}} - 9 t + 6$
203537	Write in Slope-Intercept Form	5x+6y<=0	$5 x + 6 y \leq 0$
203538	Solve the Rational Equation for x	square root of 6x-2+1=-3	$\sqrt{6 x - 2} + 1 = - 3$
203539	Simplify	5/(-5-3 square root of 3)	$\frac{5}{- 5 - 3 \sqrt{3}}$
203540	Solve for x	x-x^2+20=0	$x - x^{2} + 20 = 0$
203541	Solve for r	9/4=(r-10)/r	$\frac{9}{4} = \frac{r - 10}{r}$
203542	Evaluate	log base 2 of 2^4- log base 2 of 2^10	$\log_{2} (2^{4}) - \log_{2} (2^{10})$
203543	Solve the Inequality for x	3.4>x+2/3	$3.4 > x + \frac{2}{3}$
203544	Simplify	((y-3)/(4(y-7)))÷((y-3)/20)	$\frac{y - 3}{4 (y - 7)} \div \frac{y - 3}{20}$
203545	Solve for x	square root of 5x+16-x=2	$\sqrt{5 x + 16 - x} = 2$
203546	Graph	y=2-3cos(pi/3(x-1))	$y = 2 - 3 \cos (\frac{π}{3} (x - 1))$
203547	Simplify the Radical Expression	square root of -8* square root of 24	$\sqrt{- 8} \cdot \sqrt{24}$
203548	Simplify	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
203549	Solve for x	1/3(12x-12)=10+2x	$\frac{1}{3} (12 x - 12) = 10 + 2 x$
203550	Simplify	(2^-1m^2n)^-3*((m^0n^-4)/(4m^-1n))	${(2^{- 1} m^{2} n)}^{- 3} \cdot (\frac{m^{0} n^{- 4}}{4 m^{- 1} n})$
203551	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10+4x-x^4+7x^3	$f (x) = - 10 + 4 x - x^{4} + 7 x^{3}$
203552	Solve for w	(w)(3w+5)=0	$(w) (3 w + 5) = 0$
203553	Solve for p₂	p_1v_1=p_2v_2	$p_{1} v_{1} = p_{2} v_{2}$
203554	Simplify	eighth root of 1/(w^3*w^-1)	$\sqrt[8]{\frac{1}{w^{3} \cdot w^{- 1}}}$
203555	Solve for x	(1+x)(1-x+x^2-x^3+x^4)=1+a^5	$(1 + x) (1 - x + x^{2} - x^{3} + x^{4}) = 1 + a^{5}$
203556	Simplify	((25x^4)1/2)/(15x^2)	$\frac{(25 x^{4}) \frac{1}{2}}{15 x^{2}}$
203557	Graph	5x-6y<2y-x+8	$5 x - 6 y < 2 y - x + 8$
203558	Solve for x	1-cos(x)^2+cos(x)+1=0	$1 - \cos^{2} (x) + \cos (x) + 1 = 0$
203559	Simplify	square root of (x^2+6)^16	$\sqrt{{(x^{2} + 6)}^{16}}$
203560	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^2-x^5-7x+3x^4+1	$- \frac{1}{9} x^{2} - x^{5} - 7 x + 3 x^{4} + 1$
203561	Solve for w	1.5(w+3)=0.6w	$1.5 (w + 3) = 0.6 w$
203562	Convert to Rectangular	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3} i)}^{6}$
203563	Simplify	(x^2-xy-x+y)/(x^2+xy-x-y)	$\frac{x^{2} - x y - x + y}{x^{2} + x y - x - y}$
203564	Find the End Behavior	f(x)=-544x^2-448-832x-128x^3+4x^5+4x^4	$f (x) = - 544 x^{2} - 448 - 832 x - 128 x^{3} + 4 x^{5} + 4 x^{4}$
203565	Factor	y=2x^2+x-3	$y = 2 x^{2} + x - 3$
203566	Find the Degree, Leading Term, and Leading Coefficient	1-7x^2-1/7x^4	$1 - 7 x^{2} - \frac{1}{7} x^{4}$
203567	Solve for y	Mg((3L)/2-y)=mgy	$M g (\frac{3 L}{2} - y) = mg y$
203568	Simplify	((x^4)/(x^3))^(5/2)	${(\frac{x^{4}}{x^{3}})}^{\frac{5}{2}}$
203569	Solve for x	2x+1 1/2=3 1/2	$2 x + 1 \frac{1}{2} = 3 \frac{1}{2}$
203570	Simplify	((16c^6c^-2)/((2c^2)^3))^-1	${(\frac{16 c^{6} c^{- 2}}{{(2 c^{2})}^{3}})}^{- 1}$
203571	Simplify	-2r-8r+3-5+10r	$- 2 r - 8 r + 3 - 5 + 10 r$
203572	Find the Holes in the Graph	(x^2-4x-5)/(4x+4)	$\frac{x^{2} - 4 x - 5}{4 x + 4}$
203573	Evaluate	(1/(625^(-3/4)))	$(\frac{1}{625^{- \frac{3}{4}}})$
203574	Simplify	2y(6x-4x^2y)+13x^2y^2-6	$2 y (6 x - 4 x^{2} y) + 13 x^{2} y^{2} - 6$
203575	Find the Inverse	y=e^(8-x)	$y = e^{8 - x}$
203576	Divide	(9x^5+9x^4+45x^3)/(9x^2)	$\frac{9 x^{5} + 9 x^{4} + 45 x^{3}}{9 x^{2}}$
203577	Write as a Single Logarithm	3* log base 4 of 8-5* log base 4 of 2	$3 \cdot \log_{4} (8) - 5 \cdot \log_{4} (2)$
203578	Solve for x	3^(x-2)(1/9)^(1+x)=9	$3^{x - 2} {(\frac{1}{9})}^{1 + x} = 9$
203579	Solve the System of Equations	y=x^2-7x-6 y=8-2x	$y = x^{2} - 7 x - 6$ $y = 8 - 2 x$
203580	Simplify	4^0*5^-2	$4^{0} \cdot 5^{- 2}$
203581	Multiply	square root of 20x^2* square root of 20x	$\sqrt{20 x^{2}} \cdot \sqrt{20 x}$
203582	Evaluate	(10^7)/(25^3)*5/32	$\frac{10^{7}}{25^{3}} \cdot \frac{5}{32}$
203583	Subtract	3/(2x+6)-(x-6)/(2x^2+6x)	$\frac{3}{2 x + 6} - \frac{x - 6}{2 x^{2} + 6 x}$
203584	Solve the Rational Equation for x	square root of 3x=12	$\sqrt{3 x} = 12$
203585	Simplify	(2x^2)(x^2)^6(3x^2)^3	$(2 x^{2}) {(x^{2})}^{6} {(3 x^{2})}^{3}$
203586	Solve for m	3/4m>-12	$\frac{3}{4} m > - 12$
203587	Solve for z	(7z)/3-2=3z-9	$\frac{7 z}{3} - 2 = 3 z - 9$
203588	Simplify	11/(10x)*(5x)/22	$\frac{11}{10 x} \cdot \frac{5 x}{22}$
203589	Simplify	2x*1/(14x)	$2 x \cdot \frac{1}{14 x}$
203590	Evaluate	(2h^3j^-3k^4)/(3jk)	$\frac{2 h^{3} j^{- 3} k^{4}}{3 j k}$
203591	Solve for x	log base x of 3x-2=2	$\log_{x} (3 x - 2) = 2$
203592	Simplify	(2x-3)/(4x-7)+(2x-3)/(4x-7)	$\frac{2 x - 3}{4 x - 7} + \frac{2 x - 3}{4 x - 7}$
203593	Solve for j	0.1j=2(0.3j+0.5)	$0.1 j = 2 (0.3 j + 0.5)$
203594	Solve for x	(4x)/5=(x-2)/7	$\frac{4 x}{5} = \frac{x - 2}{7}$
203595	Simplify	cube root of 4x^2 cube root of 12x^3 cube root of 36x^4	$\sqrt[3]{4 x^{2}} \sqrt[3]{12 x^{3}} \sqrt[3]{36 x^{4}}$
203596	Evaluate	6*2^-2	$6 \cdot 2^{- 2}$
203597	Simplify the Radical Expression	( fourth root of 7)^4	${(\sqrt[4]{7})}^{4}$
203598	Simplify	(4^5*3^5)^(-1/5)	${(4^{5} \cdot 3^{5})}^{- \frac{1}{5}}$
203599	Solve for c	2=10c-4(2c-9)	$2 = 10 c - 4 (2 c - 9)$
203600	Solve for n	-11-2 1/4n=-7/8	$- 11 - 2 \frac{1}{4} n = - \frac{7}{8}$