Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219401	Evaluate	(-1/4)(1/3)	$(- \frac{1}{4}) (\frac{1}{3})$
219402	Evaluate	a-a/b	$a - \frac{a}{b}$
219403	Solve the Inequality for x	-6>5x+5+4	$- 6 > 5 x + 5 + 4$
219404	Simplify	300x+20+5x+10-40x^2	$300 x + 20 + 5 x + 10 - 40 x^{2}$
219405	Evaluate	square root of 3-x+ square root of x^2-1	$\sqrt{3 - x} + \sqrt{x^{2} - 1}$
219406	Simplify	(5/4+5/4i)^2	${(\frac{5}{4} + \frac{5}{4} i)}^{2}$
219407	Simplify	square root of 8x^2Y+x square root of 2Y-x/3 square root of 18Y	$\sqrt{8 x^{2} Y} + x \sqrt{2 Y} - \frac{x}{3} \sqrt{18 Y}$
219408	Solve for f	6^f=1/6	$6^{f} = \frac{1}{6}$
219409	Multiply	(5/7u^2+4)^2	${(\frac{5}{7} u^{2} + 4)}^{2}$
219410	Simplify	(2)^-3-24	${(2)}^{- 3} - 24$
219411	Solve the System of Equations	y=1/3x-2 y=1/3x+3	$y = \frac{1}{3} x - 2$ $y = \frac{1}{3} x + 3$
219412	Simplify	(-5/x)^2*((2x^4)/(y^3))^2	${(- \frac{5}{x})}^{2} \cdot {(\frac{2 x^{4}}{y^{3}})}^{2}$
219413	Simplify	(5 square root of 45)÷( square root of 5)	$5 \sqrt{45} \div \sqrt{5}$
219414	Subtract	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
219415	Simplify	7(-2x+x^2)	$7 (- 2 x + x^{2})$
219416	Find the Roots (Zeros)	f(x)=-x^4-x^3+3x^2-3	$f (x) = - x^{4} - x^{3} + 3 x^{2} - 3$
219417	Simplify	-2x^2+3x-9 from 8x^2+10x-10	$- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
219418	Write as a Single Logarithm	( log base 3 of a)/2+( log base 3 of b)/2+( log base 3 of c)/2	$\frac{\log_{3} (a)}{2} + \frac{\log_{3} (b)}{2} + \frac{\log_{3} (c)}{2}$
219419	Multiply	(4x)/(x+1)*(x^2-6x-7)/(x^2-7x)	$\frac{4 x}{x + 1} \cdot \frac{x^{2} - 6 x - 7}{x^{2} - 7 x}$
219420	Solve for n	4n^3-3=1	$4 n^{3} - 3 = 1$
219421	Graph	2x-3y+6>=0	$2 x - 3 y + 6 \geq 0$
219422	Simplify	((a-b)/(a+b)+(a+b)/(a-b))((a^2+b^2)/(2ab)+1)(ab)/(a^2+b^2)	$(\frac{a - b}{a + b} + \frac{a + b}{a - b}) (\frac{a^{2} + b^{2}}{2 a b} + 1) \frac{a b}{a^{2} + b^{2}}$
219423	Simplify	(22ab^5c^-2)/(4a^-4b^6c^-7)	$\frac{22 a b^{5} c^{- 2}}{4 a^{- 4} b^{6} c^{- 7}}$
219424	Simplify	(6^8*6^7)/(6^-5)	$\frac{6^{8} \cdot 6^{7}}{6^{- 5}}$
219425	Simplify	(x^2+3x-54)/(x^2+4x-60)(9-x)/(x+9)(x^2+20x+100)/(x^2+x-90)	$\frac{x^{2} + 3 x - 54}{x^{2} + 4 x - 60} \cdot \frac{9 - x}{x + 9} \cdot \frac{x^{2} + 20 x + 100}{x^{2} + x - 90}$
219426	Find the Roots (Zeros)	-3-4i	$- 3 - 4 i$
219427	Solve for x	cube root of 3x^3+67=-5	$\sqrt[3]{3 x^{3} + 67} = - 5$
219428	Simplify	(12y^-4)/(3y^-5)	$\frac{12 y^{- 4}}{3 y^{- 5}}$
219429	Factor	(a+1)^7(a^2+1)^10-(a+1)^5(a^2+1)^11	${(a + 1)}^{7} {(a^{2} + 1)}^{10} - {(a + 1)}^{5} {(a^{2} + 1)}^{11}$
219430	Subtract	(3x+2)/(4x-5)-(x-1)/(5-4x)	$\frac{3 x + 2}{4 x - 5} - \frac{x - 1}{5 - 4 x}$
219431	Factor	m^5+6a^3m^3-4am^2-24a^4	$m^{5} + 6 a^{3} m^{3} - 4 a m^{2} - 24 a^{4}$
219432	Graph	x<-4 or x>4	$x < - 4$ or $x > 4$
219433	Find the Inverse	y=1/3(x+2)^2-3	$y = \frac{1}{3} {(x + 2)}^{2} - 3$
219434	Solve for g	-8(-3g-1)=10+2(6g+17)	$- 8 (- 3 g - 1) = 10 + 2 (6 g + 17)$
219435	Solve for x	((3-4x)-12)/2=2x+3/2	$\frac{(3 - 4 x) - 12}{2} = 2 x + \frac{3}{2}$
219436	Graph	22>=x+10>19	$22 \geq x + 10 > 19$
219437	Find the Product	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
219438	Simplify	1/(3^9*6^18)	$\frac{1}{3^{9} \cdot 6^{18}}$
219439	Simplify	5(2x^2-1)+3(7x^2+1)	$5 (2 x^{2} - 1) + 3 (7 x^{2} + 1)$
219440	Evaluate	-4(-4+-2)+5	$- 4 (- 4 + - 2) + 5$
219441	Evaluate the Function	f(5)=1/(x^(-x))	$f (5) = \frac{1}{x^{- x}}$
219442	Solve for x	bx-c=ax+d	$b x - c = a x + d$
219443	Write in Standard Form	(4x^3+2x+6)+(2x^3-x^2+2)	$(4 x^{3} + 2 x + 6) + (2 x^{3} - x^{2} + 2)$
219444	Evaluate	v^2=v_0^2+2ax	$v^{2} = {v_{0}}^{2} + 2 a x$
219445	Simplify	-((2x)/(-xy))	$- (\frac{2 x}{- x y})$
219446	Solve the Inequality for x	e^x>4	$e^{x} > 4$
219447	Simplify the Radical Expression	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
219448	Divide Using Long Polynomial Division	(5x^2+x+7)/x	$\frac{5 x^{2} + x + 7}{x}$
219449	Solve the Inequality for x	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
219450	Expand the Logarithmic Expression	log of 5(x^3)/2xy^3	$\log (5) \frac{x^{3}}{2} x y^{3}$
219451	Write in Standard Form	x-7x^2+7	$x - 7 x^{2} + 7$
219452	Simplify	( square root of -4)^3	${(\sqrt{- 4})}^{3}$
219453	Graph	y=x^2 and y=x^2-6	$y = x^{2}$ and $y = x^{2} - 6$
219454	Solve the Inequality for x	sin(x)<0	$\sin (x) < 0$
219455	Simplify	(x^2+10x+25)/((x+5)^3 square root of x+5)	$\frac{x^{2} + 10 x + 25}{{(x + 5)}^{3} \sqrt{x + 5}}$
219456	Solve for x	21<=x^2+4x	$21 \leq x^{2} + 4 x$
219457	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 $x - 1$
219458	Solve for y	(3y-2)/y-1/(y-2)=(3y+4)/(y^2-2y)	$\frac{3 y - 2}{y} - \frac{1}{y - 2} = \frac{3 y + 4}{y^{2} - 2 y}$
219459	Solve Using the Quadratic Formula	z(z+4)=-8	$z (z + 4) = - 8$
219460	Simplify	f(x)=- square root of 81(2v+1)^20	$f (x) = - \sqrt{81 {(2 v + 1)}^{20}}$
219461	Solve for x	0.5(x-3)+(1.5-x)=5x	$0.5 (x - 3) + (1.5 - x) = 5 x$
219462	Solve for x	x+x square root of 2=10	$x + x \sqrt{2} = 10$
219463	Solve for z	limit as x approaches -1 of (x^2+yx+z)/(x^2-1)=3	$lim_{x \to - 1} \frac{x^{2} + y x + z}{x^{2} - 1} = 3$
219464	Evaluate	-4^(3(-1))	$- 4^{3 (- 1)}$
219465	Simplify	(7x^-3y^-4)/(8z^-5)	$\frac{7 x^{- 3} y^{- 4}}{8 z^{- 5}}$
219466	Solve the Rational Equation for n	square root of 3n+12 = square root of n+8	$\sqrt{3 n + 12} = \sqrt{n + 8}$
219467	Simplify	cube root of (5x^3)/(49x^5)	$\sqrt[3]{\frac{5 x^{3}}{49 x^{5}}}$
219468	Simplify the Radical Expression	(64x^3y^6)^(1/3)	${(64 x^{3} y^{6})}^{\frac{1}{3}}$
219469	Solve for x	5/3x-3=1/3+2x	$\frac{5}{3} x - 3 = \frac{1}{3} + 2 x$
219470	Graph	y<-2\|x\|+6	$y < - 2 \| x \| + 6$
219471	Write in Standard Form	11x^2-6x+8x-2x^3	$11 x^{2} - 6 x + 8 x - 2 x^{3}$
219472	Solve the System of Inequalities	y>=x+4 y>=5-x	$y \geq x + 4$ $y \geq 5 - x$
219473	Solve for v₂	v_2^2=3544	${v_{2}}^{2} = 3544$
219474	Simplify	(6y^4)/4*(8y)/(18y^2)	$\frac{6 y^{4}}{4} \cdot \frac{8 y}{18 y^{2}}$
219475	Simplify	(x+8)/4-(x+5)/4	$\frac{x + 8}{4} - \frac{x + 5}{4}$
219476	Find the Distance Between Two Points	(-2,1) and (4,3)	$(- 2, 1)$ and $(4, 3)$
219477	Simplify	((3x^5y^-4)/(5x^2))^2	${(\frac{3 x^{5} y^{- 4}}{5 x^{2}})}^{2}$
219478	Divide	(-1/3)÷(-10/3)	$- \frac{1}{3} \div (- \frac{10}{3})$
219479	Solve the System of Equations	5a+b+c=11 a+6b+3c=-1 2a+b-c=-1	$5 a + b + c = 11$ $a + 6 b + 3 c = - 1$ $2 a + b - c = - 1$
219480	Simplify	-(2q^2)/(3(q^-4)^2)	$- \frac{2 q^{2}}{3 {(q^{- 4})}^{2}}$
219481	Simplify	((3ab)^3)/(2ab^2(6a)^2)	$\frac{{(3 a b)}^{3}}{2 a b^{2} {(6 a)}^{2}}$
219482	Write in Standard Form	f(x)=8-x^2	$f (x) = 8 - x^{2}$
219483	Solve for x	(x+3)^2+(x+3)-2=0	${(x + 3)}^{2} + (x + 3) - 2 = 0$
219484	Multiply	(4/3)(2/5)	$(\frac{4}{3}) (\frac{2}{5})$
219485	Evaluate	tan(x)-(sec(x)^2)/(tan(x))	$\tan (x) - \frac{\sec^{2} (x)}{\tan (x)}$
219486	Graph	-2y^2+x-4y+1=0	$- 2 y^{2} + x - 4 y + 1 = 0$
219487	Subtract	2/5cd^2-1/3cd^2	$\frac{2}{5} c d^{2} - \frac{1}{3} c d^{2}$
219488	Simplify	(7x-21)/(x^2-81)	$\frac{7 x - 21}{x^{2} - 81}$
219489	Evaluate	-3*(75÷((9-4)^2))^2	$- 3 \times {(75 \div {(9 - 4)}^{2})}^{2}$
219490	Simplify	((4a)/(2-a)-a)÷((a+2)/(a-2))	$(\frac{4 a}{2 - a} - a) \div \frac{a + 2}{a - 2}$
219491	Factor	-x^3+2x^2+x-2	$- x^{3} + 2 x^{2} + x - 2$
219492	Find the Product	(5d-12)(-7+3d)	$(5 d - 12) (- 7 + 3 d)$
219493	Find the Exact Value	cot(540 degrees )	$\cot (540 °)$
219494	Solve by Factoring	(3x+3)(x+2)=1	$(3 x + 3) (x + 2) = 1$
219495	Solve the Inequality for x	3(x+4)-5(x-1)<5	$3 (x + 4) - 5 (x - 1) < 5$
219496	Convert to Interval Notation	x<=-6 or x>-4	$x \leq - 6$ or $x > - 4$
219497	Factor by Grouping	x(b+c)+3b+3c	$x (b + c) + 3 b + 3 c$
219498	Simplify	2 cube root of 3+ cube root of 3	$2 \sqrt[3]{3} + \sqrt[3]{3}$
219499	Simplify	(2a^2-3ab+5b^2)-(a^2-2ab+3b^2)	$(2 a^{2} - 3 a b + 5 b^{2}) - (a^{2} - 2 a b + 3 b^{2})$
219500	Simplify	cube root of 2x^2* cube root of 4x	$\sqrt[3]{2 x^{2}} \cdot \sqrt[3]{4 x}$