Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171401	Solve for x	3-(2x-5)<-4(x+2)	$3 - (2 x - 5) < - 4 (x + 2)$
171402	Solve for x	(3x)/4-6=x/4	$\frac{3 x}{4} - 6 = \frac{x}{4}$
171403	Find the Product	(a+b)(a^2-ab+b^2)	$(a + b) (a^{2} - a b + b^{2})$
171404	Solve for r	4(3r+4)=-8(2r+5)	$4 (3 r + 4) = - 8 (2 r + 5)$
171405	Simplify	(81/16)^(-3/4)	${(\frac{81}{16})}^{- \frac{3}{4}}$
171406	Find the Remainder	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
171407	Solve the Inequality for x	3(x-3)<=2(x+2)	$3 (x - 3) \leq 2 (x + 2)$
171408	Simplify	(5 square root of -70)( square root of 40)	$(5 \sqrt{- 70}) (\sqrt{40})$
171409	Divide	(9/10)÷(-4/5)	$\frac{9}{10} \div (- \frac{4}{5})$
171410	Simplify	(q^2-2q+5)(q^2-5)	$(q^{2} - 2 q + 5) (q^{2} - 5)$
171411	Subtract	11b^2-4b+7 from b^2+8b-9	$11 b^{2} - 4 b + 7$ from $b^{2} + 8 b - 9$
171412	Simplify	3/(2x)+5/(x-2)	$\frac{3}{2 x} + \frac{5}{x - 2}$
171413	Solve for x	6(x+1)-10=4(x-1)+2x	$6 (x + 1) - 10 = 4 (x - 1) + 2 x$
171414	Solve the System of Inequalities	-17<=4x-1 or 43>=4x-1	$- 17 \leq 4 x - 1$ or $43 \geq 4 x - 1$
171415	Solve the Absolute Value Inequality for q	\|q-8\|=14	$\| q - 8 \| = 14$
171416	Solve for z	3/4=z-1/2	$\frac{3}{4} = z - \frac{1}{2}$
171417	Solve for a	a/2=a+4	$\frac{a}{2} = a + 4$
171418	Simplify	(x^2+7x+10)/(x^2+4x+4)*(x^2+3x+2)/(x^2+6x+5)	$\frac{x^{2} + 7 x + 10}{x^{2} + 4 x + 4} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 6 x + 5}$
171419	Evaluate	1/4*2pi	$\frac{1}{4} \cdot 2 π$
171420	Solve for aₙ	S=(n(a_1+a_n))/2	$S = \frac{n (a_{1} + a_{n})}{2}$
171421	Simplify	- square root of 16+ square root of -200+ square root of 25+ square root of -2	$- \sqrt{16} + \sqrt{- 200} + \sqrt{25} + \sqrt{- 2}$
171422	Solve the Absolute Value Inequality for x	\|2x+5\|=3x+4	$\| 2 x + 5 \| = 3 x + 4$
171423	Evaluate	tan(105 degrees )	$\tan (105 °)$
171424	Evaluate	(5-x)^2	${(5 - x)}^{2}$
171425	Solve for x	f(x)=7	$f (x) = 7$
171426	Solve for x	24/(x-3)=(32x^2)/(x^2-9)-(16x)/(x+3)	$\frac{24}{x - 3} = \frac{32 x^{2}}{x^{2} - 9} - \frac{16 x}{x + 3}$
171427	Simplify the Radical Expression	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
171428	Subtract	7/(4x-1)-5/(4x-1)	$\frac{7}{4 x - 1} - \frac{5}{4 x - 1}$
171429	Solve for b	1^2+b^2=2^2	$1^{2} + b^{2} = 2^{2}$
171430	Simplify	2-11x^2-8x+6x^2	$2 - 11 x^{2} - 8 x + 6 x^{2}$
171431	Evaluate	6/(2pi)	$\frac{6}{2 π}$
171432	Solve the Absolute Value Inequality for x	\|x-9\|<5	$\| x - 9 \| < 5$
171433	Simplify	((5m^4k^-1)^-4)/(2m^-3k^-9)	$\frac{{(5 m^{4} k^{- 1})}^{- 4}}{2 m^{- 3} k^{- 9}}$
171434	Solve for x	x^2=x+30	$x^{2} = x + 30$
171435	Simplify	2 square root of 3( square root of 27-8 square root of 6)	$2 \sqrt{3} (\sqrt{27} - 8 \sqrt{6})$
171436	Solve for x	\|x^2+x-6\|<6	$\| x^{2} + x - 6 \| < 6$
171437	Solve the Inequality for x	x/(x-3)>0	$\frac{x}{x - 3} > 0$
171438	Divide	(-3/2)÷(-10/7)	$\frac{- 3}{2} \div \frac{- 10}{7}$
171439	Solve the System of Equations	4x-10y=0 4x-9y=-2	$4 x - 10 y = 0$ $4 x - 9 y = - 2$
171440	Graph	x<=y^2	$x \leq y^{2}$
171441	Solve the Inequality for x	4(x+3)>-24	$4 (x + 3) > - 24$
171442	Solve for x	square root of x-4+5=2	$\sqrt{x - 4} + 5 = 2$ ?
171443	Simplify	5/(2x^2+5x-3)-3/(2x^2-11x+5)	$\frac{5}{2 x^{2} + 5 x - 3} - \frac{3}{2 x^{2} - 11 x + 5}$
171444	Simplify	((-2x)^3(-x)^2)/((2x)^2)	$\frac{{(- 2 x)}^{3} {(- x)}^{2}}{{(2 x)}^{2}}$
171445	Write in Standard Form	(5+w)(w+4)	$(5 + w) (w + 4)$
171446	Simplify	2/(x+3)-x/(x-1)+(x^2+2)/(x^2+2x-3)	$\frac{2}{x + 3} - \frac{x}{x - 1} + \frac{x^{2} + 2}{x^{2} + 2 x - 3}$
171447	Find the Product	(t-7)(t+7)	$(t - 7) (t + 7)$
171448	Describe the Transformation	g(x)=f(x-4)	$g (x) = f (x - 4)$
171449	Solve the Inequality for n	3^(2n)>=6^(n+1)	$3^{2 n} \geq 6^{n + 1}$
171450	Identify the Conic	4x^2-16x+4y^2+24y+36=0	$4 x^{2} - 16 x + 4 y^{2} + 24 y + 36 = 0$
171451	Solve for a	2(a-2)=-(a-1)/(a-4)	$2 (a - 2) = - \frac{a - 1}{a - 4}$
171452	Factor	(2x+4)	$(2 x + 4)$
171453	Graph	7y>=-5x	$7 y \geq - 5 x$
171454	Solve the Inequality for x	6/(x-1)-6/x>=1	$\frac{6}{x - 1} - \frac{6}{x} \geq 1$
171455	Solve for x	Solve \|x+10\|=4x-8	Solve $\| x + 10 \| = 4 x - 8$
171456	Graph	f(x)=-2x^3-4x^2+6x	$f (x) = - 2 x^{3} - 4 x^{2} + 6 x$
171457	Write in Standard Form	x^2=3x+10	$x^{2} = 3 x + 10$
171458	Solve for x	\|2x+3/4\|=5 6/7	$\| 2 x + \frac{3}{4} \| = 5 \frac{6}{7}$
171459	Graph Using a Table of Values	f(x)=1	$f (x) = 1$
171460	Solve for c	6/11c+5/7=-2/7	$\frac{6}{11} c + \frac{5}{7} = - \frac{2}{7}$
171461	Solve the Inequality for x	x^2-x<6	$x^{2} - x < 6$
171462	Find the Roots (Zeros)	2x^2+1=5x	$2 x^{2} + 1 = 5 x$
171463	Solve Using the Quadratic Formula	3x-5	$3 x - 5$
171464	Solve the System of Equations	y=5/2x+2 2y=5x+4	$y = \frac{5}{2} x + 2$ $2 y = 5 x + 4$
171465	Simplify	1/(2 square root of 5+2)-1/(2 square root of 5-2)	$\frac{1}{2 \sqrt{5} + 2} - \frac{1}{2 \sqrt{5} - 2}$
171466	Simplify	(25-4x^2)/(6x^2+9x-15)*(6x^2-2x-4)/(2x^2-x-10)	$\frac{25 - 4 x^{2}}{6 x^{2} + 9 x - 15} \cdot \frac{6 x^{2} - 2 x - 4}{2 x^{2} - x - 10}$
171467	Multiply	(-t^7)(-t^5)	$(- t^{7}) (- t^{5})$
171468	Graph Using a Table of Values	f(x)=(2x-3)/(-x+3)	$f (x) = \frac{2 x - 3}{- x + 3}$
171469	Graph	y=-3x^4-2	$y = - 3 x^{4} - 2$
171470	Simplify	(6h^10u^4)/((-2h^-4u^3)^3)	$\frac{6 h^{10} u^{4}}{{(- 2 h^{- 4} u^{3})}^{3}}$
171471	Simplify	(20b^-8r^-9)/((5b^4r^-5)^-2)	$\frac{20 b^{- 8} r^{- 9}}{{(5 b^{4} r^{- 5})}^{- 2}}$
171472	Solve for x	x^2-3/4x=5	$x^{2} - \frac{3}{4} x = 5$
171473	Solve for b	12=-8b	$12 = - 8 b$
171474	Solve the Inequality for x	14<12+x	$14 < 12 + x$
171475	Simplify	(4t^9s)/((2t^4s^-3)^-3)	$\frac{4 t^{9} s}{{(2 t^{4} s^{- 3})}^{- 3}}$
171476	Graph	1-1/x	$1 - \frac{1}{x}$
171477	Find the Roots (Zeros)	x^2(5x-7)(3x+2)=0	$x^{2} (5 x - 7) (3 x + 2) = 0$
171478	Evaluate	2^(3x)=10	$2^{3 x} = 10$
171479	Simplify	1/x+x	$\frac{1}{x} + x$
171480	Simplify	(2m^6+6m)/(3m^14+12m^9+9m^4)	$\frac{2 m^{6} + 6 m}{3 m^{14} + 12 m^{9} + 9 m^{4}}$
171481	Evaluate	(3+1/4)-(2+1/6)	$(3 + \frac{1}{4}) - (2 + \frac{1}{6})$
171482	Simplify	(6 square root of -54)(-5 square root of 7)	$(6 \sqrt{- 54}) (- 5 \sqrt{7})$
171483	Find All Complex Solutions	\|2x-1\|=3	$\| 2 x - 1 \| = 3$
171484	Solve the Absolute Value Inequality for w	3\|4w-1\|-5=10	$3 \| 4 w - 1 \| - 5 = 10$
171485	Solve for x	-(-2-5x)+(-2)=18	$- (- 2 - 5 x) + (- 2) = 18$
171486	Simplify	1/(5n)-3/4+7/(10n)	$\frac{1}{5 n} - \frac{3}{4} + \frac{7}{10 n}$
171487	Simplify	(z+z)+(z+6)	$(z + z) + (z + 6)$
171488	Find All Complex Solutions	74y-8-78y=-4y-8	$74 y - 8 - 78 y = - 4 y - 8$
171489	Evaluate	81/2+37-18	$8 \cdot \frac{1}{2} + 3 \cdot 7 - 18$
171490	Factor	2x^3-nx^2+2xz^2-nz^2-3ny^2+6xy^2	$2 x^{3} - n x^{2} + 2 x z^{2} - n z^{2} - 3 n y^{2} + 6 x y^{2}$
171491	Evaluate	1/2(1)^(-1/2)	$\frac{1}{2} {(1)}^{- \frac{1}{2}}$
171492	Find the Distance Between Two Points	(3,7) and (6,5)	$(3, 7)$ and $(6, 5)$
171493	Find the Exact Value	(a+b)^2	${(a + b)}^{2}$
171494	Graph	y=mx	$y = m x$
171495	Multiply	(8-3a^2)(2a^2+6)	$(8 - 3 a^{2}) (2 a^{2} + 6)$
171496	Solve Using the Square Root Property	(9z+1/2)^2+61=39	${(9 z + \frac{1}{2})}^{2} + 61 = 39$
171497	Solve for x	(3x+1)/2+(5x-3)/3=(27+6x)/5	$\frac{3 x + 1}{2} + \frac{5 x - 3}{3} = \frac{27 + 6 x}{5}$
171498	Solve for m	(3m-3)/5=(2m-1)/2	$\frac{3 m - 3}{5} = \frac{2 m - 1}{2}$
171499	Solve for x	12/(x^2-2x)-3/(x-2)=3/x	$\frac{12}{x^{2} - 2 x} - \frac{3}{x - 2} = \frac{3}{x}$
171500	Solve for x	a/b(1-a/x)+b/a(1-b/x)=1	$\frac{a}{b} (1 - \frac{a}{x}) + \frac{b}{a} (1 - \frac{b}{x}) = 1$