Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219401	Graph	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
219402	Convert to a Percentage	what percent of 300 is 51	what percent of $300$ is $51$
219403	Solve for x	x-theta+x+x+theta=102	$x - θ + x + x + θ = 102$
219404	Find the Exact Value	-2/5-(-9/15)	$- \frac{2}{5} - (- \frac{9}{15})$
219405	Determine if a Polynomial	8z^5+4y^-4z^3+z	$8 z^{5} + 4 y^{- 4} z^{3} + z$
219406	Solve the Inequality for x	-5x^2+8<-6x	$- 5 x^{2} + 8 < - 6 x$
219407	Simplify	((2x^3+20x^2+32x)/(x^2-7x-18)*-6/(6x+48))÷((-x-10)/(x^2+x-90))	$\frac{2 x^{3} + 20 x^{2} + 32 x}{x^{2} - 7 x - 18} \cdot \frac{- 6}{6 x + 48} \div \frac{- x - 10}{x^{2} + x - 90}$
219408	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+18x^2+10x-25 is divided by x+5	Use the long division method to find the result when $3 x^{3} + 18 x^{2} + 10 x - 25$ is divided by $x + 5$
219409	Solve the System of Inequalities	y<=2x-6 y<=-1/2x-1	$y \leq 2 x - 6$ $y \leq - \frac{1}{2} x - 1$
219410	Evaluate	85% of 80	$85 %$ of $80$
219411	Subtract	(2x+1)/(6x^2)-(7x-2)/(6x^2)	$\frac{2 x + 1}{6 x^{2}} - \frac{7 x - 2}{6 x^{2}}$
219412	Find the Excluded Values	(x+4)/(x^2-x-12)+(2x)/(x-4)	$\frac{x + 4}{x^{2} - x - 12} + \frac{2 x}{x - 4}$
219413	Find the Product	2y^2*3x	$2 y^{2} \cdot 3 x$
219414	Simplify	square root of 2x^3* square root of 5x^3	$\sqrt{2 x^{3}} \cdot \sqrt{5 x^{3}}$
219415	Combine Like Terms	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$
219416	Evaluate	(-1/4)(1/3)	$(- \frac{1}{4}) (\frac{1}{3})$
219417	Evaluate	a-a/b	$a - \frac{a}{b}$
219418	Solve the Inequality for x	-6>5x+5+4	$- 6 > 5 x + 5 + 4$
219419	Simplify	300x+20+5x+10-40x^2	$300 x + 20 + 5 x + 10 - 40 x^{2}$
219420	Evaluate	square root of 3-x+ square root of x^2-1	$\sqrt{3 - x} + \sqrt{x^{2} - 1}$
219421	Simplify	(5/4+5/4i)^2	${(\frac{5}{4} + \frac{5}{4} i)}^{2}$
219422	Simplify	square root of 8x^2Y+x square root of 2Y-x/3 square root of 18Y	$\sqrt{8 x^{2} Y} + x \sqrt{2 Y} - \frac{x}{3} \sqrt{18 Y}$
219423	Solve for f	6^f=1/6	$6^{f} = \frac{1}{6}$
219424	Multiply	(5/7u^2+4)^2	${(\frac{5}{7} u^{2} + 4)}^{2}$
219425	Simplify	(2)^-3-24	${(2)}^{- 3} - 24$
219426	Solve the System of Equations	y=1/3x-2 y=1/3x+3	$y = \frac{1}{3} x - 2$ $y = \frac{1}{3} x + 3$
219427	Simplify	(-5/x)^2*((2x^4)/(y^3))^2	${(- \frac{5}{x})}^{2} \cdot {(\frac{2 x^{4}}{y^{3}})}^{2}$
219428	Simplify	(5 square root of 45)÷( square root of 5)	$5 \sqrt{45} \div \sqrt{5}$
219429	Subtract	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
219430	Simplify	7(-2x+x^2)	$7 (- 2 x + x^{2})$
219431	Find the Roots (Zeros)	f(x)=-x^4-x^3+3x^2-3	$f (x) = - x^{4} - x^{3} + 3 x^{2} - 3$
219432	Simplify	-2x^2+3x-9 from 8x^2+10x-10	$- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
219433	Write as a Single Logarithm	( log base 3 of a)/2+( log base 3 of b)/2+( log base 3 of c)/2	$\frac{\log_{3} (a)}{2} + \frac{\log_{3} (b)}{2} + \frac{\log_{3} (c)}{2}$
219434	Multiply	(4x)/(x+1)*(x^2-6x-7)/(x^2-7x)	$\frac{4 x}{x + 1} \cdot \frac{x^{2} - 6 x - 7}{x^{2} - 7 x}$
219435	Solve for n	4n^3-3=1	$4 n^{3} - 3 = 1$
219436	Graph	2x-3y+6>=0	$2 x - 3 y + 6 \geq 0$
219437	Simplify	((a-b)/(a+b)+(a+b)/(a-b))((a^2+b^2)/(2ab)+1)(ab)/(a^2+b^2)	$(\frac{a - b}{a + b} + \frac{a + b}{a - b}) (\frac{a^{2} + b^{2}}{2 a b} + 1) \frac{a b}{a^{2} + b^{2}}$
219438	Simplify	(22ab^5c^-2)/(4a^-4b^6c^-7)	$\frac{22 a b^{5} c^{- 2}}{4 a^{- 4} b^{6} c^{- 7}}$
219439	Simplify	(6^8*6^7)/(6^-5)	$\frac{6^{8} \cdot 6^{7}}{6^{- 5}}$
219440	Simplify	(x^2+3x-54)/(x^2+4x-60)(9-x)/(x+9)(x^2+20x+100)/(x^2+x-90)	$\frac{x^{2} + 3 x - 54}{x^{2} + 4 x - 60} \cdot \frac{9 - x}{x + 9} \cdot \frac{x^{2} + 20 x + 100}{x^{2} + x - 90}$
219441	Find the Roots (Zeros)	-3-4i	$- 3 - 4 i$
219442	Solve for x	cube root of 3x^3+67=-5	$\sqrt[3]{3 x^{3} + 67} = - 5$
219443	Simplify	(12y^-4)/(3y^-5)	$\frac{12 y^{- 4}}{3 y^{- 5}}$
219444	Factor	(a+1)^7(a^2+1)^10-(a+1)^5(a^2+1)^11	${(a + 1)}^{7} {(a^{2} + 1)}^{10} - {(a + 1)}^{5} {(a^{2} + 1)}^{11}$
219445	Subtract	(3x+2)/(4x-5)-(x-1)/(5-4x)	$\frac{3 x + 2}{4 x - 5} - \frac{x - 1}{5 - 4 x}$
219446	Factor	m^5+6a^3m^3-4am^2-24a^4	$m^{5} + 6 a^{3} m^{3} - 4 a m^{2} - 24 a^{4}$
219447	Graph	x<-4 or x>4	$x < - 4$ or $x > 4$
219448	Find the Inverse	y=1/3(x+2)^2-3	$y = \frac{1}{3} {(x + 2)}^{2} - 3$
219449	Solve for g	-8(-3g-1)=10+2(6g+17)	$- 8 (- 3 g - 1) = 10 + 2 (6 g + 17)$
219450	Solve for x	((3-4x)-12)/2=2x+3/2	$\frac{(3 - 4 x) - 12}{2} = 2 x + \frac{3}{2}$
219451	Graph	22>=x+10>19	$22 \geq x + 10 > 19$
219452	Find the Product	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
219453	Simplify	1/(3^9*6^18)	$\frac{1}{3^{9} \cdot 6^{18}}$
219454	Simplify	5(2x^2-1)+3(7x^2+1)	$5 (2 x^{2} - 1) + 3 (7 x^{2} + 1)$
219455	Evaluate	-4(-4+-2)+5	$- 4 (- 4 + - 2) + 5$
219456	Evaluate the Function	f(5)=1/(x^(-x))	$f (5) = \frac{1}{x^{- x}}$
219457	Solve for x	bx-c=ax+d	$b x - c = a x + d$
219458	Write in Standard Form	(4x^3+2x+6)+(2x^3-x^2+2)	$(4 x^{3} + 2 x + 6) + (2 x^{3} - x^{2} + 2)$
219459	Evaluate	v^2=v_0^2+2ax	$v^{2} = {v_{0}}^{2} + 2 a x$
219460	Simplify	-((2x)/(-xy))	$- (\frac{2 x}{- x y})$
219461	Solve the Inequality for x	e^x>4	$e^{x} > 4$
219462	Simplify the Radical Expression	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
219463	Divide Using Long Polynomial Division	(5x^2+x+7)/x	$\frac{5 x^{2} + x + 7}{x}$
219464	Solve the Inequality for x	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
219465	Expand the Logarithmic Expression	log of 5(x^3)/2xy^3	$\log (5) \frac{x^{3}}{2} x y^{3}$
219466	Write in Standard Form	x-7x^2+7	$x - 7 x^{2} + 7$
219467	Simplify	( square root of -4)^3	${(\sqrt{- 4})}^{3}$
219468	Graph	y=x^2 and y=x^2-6	$y = x^{2}$ and $y = x^{2} - 6$
219469	Solve the Inequality for x	sin(x)<0	$\sin (x) < 0$
219470	Simplify	(x^2+10x+25)/((x+5)^3 square root of x+5)	$\frac{x^{2} + 10 x + 25}{{(x + 5)}^{3} \sqrt{x + 5}}$
219471	Solve for x	21<=x^2+4x	$21 \leq x^{2} + 4 x$
219472	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-8x^2+11x-5 is divided by x-1	Use synthetic division to find the result when $2 x^{3} - 8 x^{2} + 11 x - 5$ is divided by $x - 1$
219473	Solve for y	(3y-2)/y-1/(y-2)=(3y+4)/(y^2-2y)	$\frac{3 y - 2}{y} - \frac{1}{y - 2} = \frac{3 y + 4}{y^{2} - 2 y}$
219474	Solve Using the Quadratic Formula	z(z+4)=-8	$z (z + 4) = - 8$
219475	Simplify	f(x)=- square root of 81(2v+1)^20	$f (x) = - \sqrt{81 {(2 v + 1)}^{20}}$
219476	Solve for x	0.5(x-3)+(1.5-x)=5x	$0.5 (x - 3) + (1.5 - x) = 5 x$
219477	Solve for x	x+x square root of 2=10	$x + x \sqrt{2} = 10$
219478	Solve for z	limit as x approaches -1 of (x^2+yx+z)/(x^2-1)=3	$lim_{x \to - 1} \frac{x^{2} + y x + z}{x^{2} - 1} = 3$
219479	Evaluate	-4^(3(-1))	$- 4^{3 (- 1)}$
219480	Simplify	(7x^-3y^-4)/(8z^-5)	$\frac{7 x^{- 3} y^{- 4}}{8 z^{- 5}}$
219481	Solve the Rational Equation for n	square root of 3n+12 = square root of n+8	$\sqrt{3 n + 12} = \sqrt{n + 8}$
219482	Simplify	cube root of (5x^3)/(49x^5)	$\sqrt[3]{\frac{5 x^{3}}{49 x^{5}}}$
219483	Simplify the Radical Expression	(64x^3y^6)^(1/3)	${(64 x^{3} y^{6})}^{\frac{1}{3}}$
219484	Solve for x	5/3x-3=1/3+2x	$\frac{5}{3} x - 3 = \frac{1}{3} + 2 x$
219485	Graph	y<-2\|x\|+6	$y < - 2 \| x \| + 6$
219486	Write in Standard Form	11x^2-6x+8x-2x^3	$11 x^{2} - 6 x + 8 x - 2 x^{3}$
219487	Solve the System of Inequalities	y>=x+4 y>=5-x	$y \geq x + 4$ $y \geq 5 - x$
219488	Solve for v₂	v_2^2=3544	${v_{2}}^{2} = 3544$
219489	Simplify	(6y^4)/4*(8y)/(18y^2)	$\frac{6 y^{4}}{4} \cdot \frac{8 y}{18 y^{2}}$
219490	Simplify	(x+8)/4-(x+5)/4	$\frac{x + 8}{4} - \frac{x + 5}{4}$
219491	Find the Distance Between Two Points	(-2,1) and (4,3)	$(- 2, 1)$ and $(4, 3)$
219492	Simplify	((3x^5y^-4)/(5x^2))^2	${(\frac{3 x^{5} y^{- 4}}{5 x^{2}})}^{2}$
219493	Divide	(-1/3)÷(-10/3)	$- \frac{1}{3} \div (- \frac{10}{3})$
219494	Solve the System of Equations	5a+b+c=11 a+6b+3c=-1 2a+b-c=-1	$5 a + b + c = 11$ $a + 6 b + 3 c = - 1$ $2 a + b - c = - 1$
219495	Simplify	-(2q^2)/(3(q^-4)^2)	$- \frac{2 q^{2}}{3 {(q^{- 4})}^{2}}$
219496	Simplify	((3ab)^3)/(2ab^2(6a)^2)	$\frac{{(3 a b)}^{3}}{2 a b^{2} {(6 a)}^{2}}$
219497	Write in Standard Form	f(x)=8-x^2	$f (x) = 8 - x^{2}$
219498	Solve for x	(x+3)^2+(x+3)-2=0	${(x + 3)}^{2} + (x + 3) - 2 = 0$
219499	Multiply	(4/3)(2/5)	$(\frac{4}{3}) (\frac{2}{5})$
219500	Evaluate	tan(x)-(sec(x)^2)/(tan(x))	$\tan (x) - \frac{\sec^{2} (x)}{\tan (x)}$