Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162301	Graph	1/2n+3<5	$\frac{1}{2} n + 3 < 5$
162302	Simplify	square root of 3*(- square root of 3)	$\sqrt{3} \cdot (- \sqrt{3})$
162303	Find the Inverse	f(x) = square root of 1+x	$f (x) = \sqrt{1 + x}$
162304	Write in Standard Form	-1+10x^3+x^2	$- 1 + 10 x^{3} + x^{2}$
162305	Simplify	(2^-4*z^-3)^5	${(2^{- 4} \cdot z^{- 3})}^{5}$
162306	Evaluate	log base 7 of a* log base b of 7	$\log_{7} (a) \cdot \log_{b} (7)$
162307	Simplify	(-10+b)+(7b-5)	$(- 10 + b) + (7 b - 5)$
162308	Simplify	(2x+3)/x-1/(x+7)	$\frac{2 x + 3}{x} - \frac{1}{x + 7}$
162309	Factor	81m^8+2m^4+1	$81 m^{8} + 2 m^{4} + 1$
162310	Find the x and y Intercepts	f(x)=(2x+8)/(x^2+x-12)	$f (x) = \frac{2 x + 8}{x^{2} + x - 12}$
162311	Multiply	(x^2-3y+1)(x^2+2x)	$(x^{2} - 3 y + 1) (x^{2} + 2 x)$
162312	Solve for x	x-3x+4=3-9	$x - 3 x + 4 = 3 - 9$
162313	Combine Like Terms	-3z-(-z-2)	$- 3 z - (- z - 2)$
162314	Solve for y	-y/3.1+0.7=1.7	$- \frac{y}{3.1} + 0.7 = 1.7$
162315	Convert to Polar	y=5	$y = 5$
162316	Solve for x	2+1/x=4	$2 + \frac{1}{x} = 4$
162317	Factor	x^2y^2-x^3	$x^{2} y^{2} - x^{3}$
162318	Factor	xy^4-y^4	$x y^{4} - y^{4}$
162319	Solve the System of Inequalities	x+10<3 or 6<=x+10	$x + 10 < 3$ or $6 \leq x + 10$
162320	Simplify	(4^-2*4^-3)^3	${(4^{- 2} \cdot 4^{- 3})}^{3}$
162321	Multiply	(y^2-y-2)/(5y)*(10y)/(y+1)	$\frac{y^{2} - y - 2}{5 y} \cdot \frac{10 y}{y + 1}$
162322	Solve for x	2/3x+4=2x	$\frac{2}{3} x + 4 = 2 x$
162323	Solve the Inequality for n	6n+5<=7n+10	$6 n + 5 \leq 7 n + 10$
162324	Solve the Rational Equation for x	4/x+1/(x^2)=1/(5x^2)	$\frac{4}{x} + \frac{1}{x^{2}} = \frac{1}{5 x^{2}}$
162325	Simplify	(ab^3)/(a^4b)+(c^2)^3	$\frac{a b^{3}}{a^{4} b} + {(c^{2})}^{3}$
162326	Solve the System of Inequalities	5x+8<=-27 or 5x+8>-12	$5 x + 8 \leq - 27$ or $5 x + 8 > - 12$
162327	Factor	x^5y^2+x^3	$x^{5} y^{2} + x^{3}$
162328	Solve the Inequality for q	6-3q<=1	$6 - 3 q \leq 1$
162329	Solve the Inequality for q	-6q+1>=2q-10	$- 6 q + 1 \geq 2 q - 10$
162330	Solve for x	4+(3x-1)/2=9	$4 + \frac{3 x - 1}{2} = 9$
162331	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-16=0	$x^{2} - 16 = 0$
162332	Find the x and y Intercepts	f(x)=x^3+x^2-2x	$f (x) = x^{3} + x^{2} - 2 x$
162333	Graph	f(x)=pi	$f (x) = π$
162334	Solve for x	2(x-3)-5x=-3(x+3)	$2 (x - 3) - 5 x = - 3 (x + 3)$
162335	Solve for b	v=1/3bh for b	$v = \frac{1}{3} b h$ for $b$
162336	Graph	f(x)=4+\|x\|	$f (x) = 4 + \| x \|$
162337	Simplify	(2x^3-4x^2)/(2x)	$\frac{2 x^{3} - 4 x^{2}}{2 x}$
162338	Find the Holes in the Graph	f(x)=(-x^2+5x)/(2x^2)	$f (x) = \frac{- x^{2} + 5 x}{2 x^{2}}$
162339	Simplify	((x-1)/(x^2+5x-6))÷((7x-56)/(x^2-2x-48))	$\frac{x - 1}{x^{2} + 5 x - 6} \div \frac{7 x - 56}{x^{2} - 2 x - 48}$
162340	Solve for p	2.5+3(5-2.1p)=-13.37	$2.5 + 3 (5 - 2.1 p) = - 13.37$
162341	Find the Holes in the Graph	f(x)=(5x^2)/(-3x^2-7x)	$f (x) = \frac{5 x^{2}}{- 3 x^{2} - 7 x}$
162342	Solve for x	6x-8x=-15x-26	$6 x - 8 x = - 15 x - 26$
162343	Simplify	(x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63)	$\frac{x^{2} - 5 x - 36}{8 x + 32} \cdot \frac{x - 7}{x^{2} - 16 x + 63}$
162344	Simplify	(13-3/2r)-(1-r)	$(13 - \frac{3}{2} r) - (1 - r)$
162345	Solve for r	-6(2r+8)=-10(r-3)	$- 6 (2 r + 8) = - 10 (r - 3)$
162346	Solve the System of Inequalities	-4x+9>1 or -39>=-4x+9	$- 4 x + 9 > 1$ or $- 39 \geq - 4 x + 9$
162347	Solve the System of Inequalities	x-4>=4 and 6>=x-4	$x - 4 \geq 4$ and $6 \geq x - 4$
162348	Solve the Inequality for s	7s+8>=3s-1	$7 s + 8 \geq 3 s - 1$
162349	Solve for x	5/(2x+3)=4/x	$\frac{5}{2 x + 3} = \frac{4}{x}$
162350	Solve the System of Inequalities	-25<=-3x-7 or -3x-7<-37	$- 25 \leq - 3 x - 7$ or $- 3 x - 7 < - 37$
162351	Solve the Inequality for x	-4+x<=9	$- 4 + x \leq 9$
162352	Simplify	5/6(x+1/2+4)	$\frac{5}{6} (x + \frac{1}{2} + 4)$
162353	Solve for x	12+20/x=10	$12 + \frac{20}{x} = 10$
162354	Simplify	( square root of 15x^6)/( square root of 5x^5)* square root of 3x^3	$\frac{\sqrt{15 x^{6}}}{\sqrt{5 x^{5}}} \cdot \sqrt{3 x^{3}}$
162355	Solve for x	2x-3/(x+2)=x	$2 x - \frac{3}{x + 2} = x$
162356	Solve for y	square root of x+2y=z	$\sqrt{x + 2 y} = z$
162357	Simplify	(4 square root of 10)/( square root of 14)	$\frac{4 \sqrt{10}}{\sqrt{14}}$
162358	Evaluate	2/3(4)^(3/2)	$\frac{2}{3} {(4)}^{\frac{3}{2}}$
162359	Rationalize the Denominator	( square root of x- square root of y)/( square root of x+ square root of y)	$\frac{\sqrt{x} - \sqrt{y}}{\sqrt{x} + \sqrt{y}}$
162360	Simplify	((x^2+15x+56)/x)÷((x^2+2x-35)/(4x-20))	$\frac{x^{2} + 15 x + 56}{x} \div \frac{x^{2} + 2 x - 35}{4 x - 20}$
162361	Solve the System of Equations	8x+y=-16 -3x+y=-5	$8 x + y = - 16$ $- 3 x + y = - 5$
162362	Solve for p	(p+1)/2=(3p+7)/5	$\frac{p + 1}{2} = \frac{3 p + 7}{5}$
162363	Solve for m	-6m^3+10m^2-4m=0	$- 6 m^{3} + 10 m^{2} - 4 m = 0$
162364	Solve for P	A=1/2Pa	$A = \frac{1}{2} P a$
162365	Simplify	a^0b^-2c	$a^{0} b^{- 2} c$
162366	Evaluate	log base x of 36=2	$\log_{x} (36) = 2$
162367	Graph Using a Table of Values	(1/2)^x	${(\frac{1}{2})}^{x}$
162368	Graph	f(x)=-1/2(x+2)(x+1)(x-1)^2	$f (x) = - \frac{1}{2} (x + 2) (x + 1) {(x - 1)}^{2}$
162369	Solve for a	(6a+2)(8a+7)=0	$(6 a + 2) (8 a + 7) = 0$
162370	Find the x and y Intercepts	f(x)=(-3x^2+3x)/(5x^2-30x+25)	$f (x) = \frac{- 3 x^{2} + 3 x}{5 x^{2} - 30 x + 25}$
162371	Simplify	(x+1)/(x-1)-(x-8)/(x-1)	$\frac{x + 1}{x - 1} - \frac{x - 8}{x - 1}$
162372	Evaluate	-4/7p+(-2/7p)+1/7	$- \frac{4}{7} p + (- \frac{2}{7} p) + \frac{1}{7}$
162373	Solve for x	2x=x	$2 x = x$
162374	Simplify	(4-i)(-3+7i)-7i(8+2i)	$(4 - i) (- 3 + 7 i) - 7 i (8 + 2 i)$
162375	Simplify	(x^2+15x+65)+(2x-5)(3x+8)	$(x^{2} + 15 x + 65) + (2 x - 5) (3 x + 8)$
162376	Solve the System of Inequalities	-x+7>=5 or -x+7<=3	$- x + 7 \geq 5$ or $- x + 7 \leq 3$
162377	Find the Exact Value	cot(0pi)	$\cot (0 π)$
162378	Graph	f(x)=x^4-2x^3+x^2	$f (x) = x^{4} - 2 x^{3} + x^{2}$
162379	Find the Domain and Range	F(x) = natural log of x+1	$F (x) = \ln (x + 1)$
162380	Factor	x^5-x^4y	$x^{5} - x^{4} y$
162381	Evaluate	((1+6)*9)/(5^2-4)	$\frac{(1 + 6) \cdot 9}{5^{2} - 4}$
162382	Graph	y<=1/2x	$y \leq \frac{1}{2} x$
162383	Find a,b,c	7(2e-1)-3=6+6e	$7 (2 e - 1) - 3 = 6 + 6 e$
162384	Solve for θ	cos(2theta-pi/2)=-1	$\cos (2 θ - \frac{π}{2}) = - 1$
162385	Solve the Inequality for n	n-5<=5n-1	$n - 5 \leq 5 n - 1$
162386	Simplify	-4x^32y^-25y^5*x^-8	$- 4 x^{3} \cdot 2 y^{- 2} \cdot 5 y^{5} \cdot x^{- 8}$
162387	Solve Using the Quadratic Formula	36x^6+18x^3+10	$36 x^{6} + 18 x^{3} + 10$
162388	Factor	x^5y^5+x^3y	$x^{5} y^{5} + x^{3} y$
162389	Solve for x	x^2-6x=-9	$x^{2} - 6 x = - 9$
162390	Solve for h	1/2(2h-4)=20	$\frac{1}{2} (2 h - 4) = 20$
162391	Simplify	(x^2-x-6)/(5x+5)*5/(x-3)	$\frac{x^{2} - x - 6}{5 x + 5} \cdot \frac{5}{x - 3}$
162392	Write in Exponential Form	natural log of 3x+2=3x	$\ln (3 x + 2) = 3 x$
162393	Simplify	(x^3+8x^2)/(x^2-64)	$\frac{x^{3} + 8 x^{2}}{x^{2} - 64}$
162394	Simplify	(27x^8y^3)/(x^7y^3)	$\frac{27 x^{8} y^{3}}{x^{7} y^{3}}$
162395	Solve the Inequality for n	6n-3>-18	$6 n - 3 > - 18$
162396	Write in Standard Form	9e-7=7e-11	$9 e - 7 = 7 e - 11$
162397	Simplify	(33m^7n^3)/(33m^8n^9)	$\frac{33 m^{7} n^{3}}{33 m^{8} n^{9}}$
162398	Factor	x^3+x^5y^4	$x^{3} + x^{5} y^{4}$
162399	Solve by Factoring	4x^2-4x=-4x+1	$4 x^{2} - 4 x = - 4 x + 1$
162400	Find the First Term	a_n=3n+2	$a_{n} = 3 n + 2$