Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
401	Write as a Set of Linear Factors	(3x+3)/(x-3)=9	$\frac{3 x + 3}{x - 3} = 9$
402	Write as a Set of Linear Factors	-x-3y=-6	$- x - 3 y = - 6$
403	Divide	(3) , (2)	$(3)$ , $(2)$
404	Determine the Possible Number of Real Roots	y=7	$y = 7$
405	Find the LCM	1 , 4 , 7 , 10	$1$ , $4$ , $7$ , $10$
406	Find the Inverse	x-5y=-4	$x - 5 y = - 4$
407	Factor	f(x)*(2x^2)	$f (x) \cdot (2 x^{2})$
408	Simplify	8/5+56*3	$\frac{8}{5} + 56 \cdot 3$
409	Find the LCD	(x^3)/(x^2+xy+y^2)+(y^3)/(y^2+yz+z^2)+(z^3)/(z^2+yz+x^2)	$\frac{x^{3}}{x^{2} + x y + y^{2}} + \frac{y^{3}}{y^{2} + y z + z^{2}} + \frac{z^{3}}{z^{2} + y z + x^{2}}$
410	Solve for y	4x-9y=36	$4 x - 9 y = 36$
411	Factor	9x^3-2x^2-9x+2	$9 x^{3} - 2 x^{2} - 9 x + 2$
412	Factor by Grouping	(a+10)^2	${(a + 10)}^{2}$
413	Evaluate Using the Given Value	A=25 , 0(e^(0.0455*11))	$A = 25$ , $0 (e^{0.0455 \cdot 11})$
414	Factor by Grouping	3y^2-7y-10	$3 y^{2} - 7 y - 10$
415	Find the GCF	2x+5	$2 x + 5$
416	Find the LCD	A/B+A/D	$\frac{A}{B} + \frac{A}{D}$
417	Factor	10v^2-33vr+20r^2	$10 v^{2} - 33 v r + 20 r^{2}$
418	Factor	x^4y+8xy	$x^{4} y + 8 x y$
419	Find the Asymptotes	f(x)=(x^2+2x)/(x^2-6x-16)	$f (x) = \frac{x^{2} + 2 x}{x^{2} - 6 x - 16}$
420	Solve for y	Rx+Sy=theta	$R x + S y = θ$
421	Find the Asymptotes	c=5/9*(f-32)	$c = \frac{5}{9} \cdot (f - 32)$
422	Find the Degree	x^2+4x+4	$x^{2} + 4 x + 4$
423	Find the Degree	x^2+6x+8	$x^{2} + 6 x + 8$
424	Find the Degree	3+2i square root of 59	$3 + 2 i \sqrt{59}$
425	Factor	(2n^2+2^n)*10^7	$(2 n^{2} + 2^{n}) \cdot 10^{7}$
426	Find the Degree	8/((x-2)(x+5))	$\frac{8}{(x - 2) (x + 5)}$
427	Find the Degree	sssssss	$s s s s s s s$
428	Solve for z	-5(z+10)=12z+17	$- 5 (z + 10) = 12 z + 17$
429	Find the Degree	0(a+q+7)	$0 (a + q + 7)$
430	Factor	t^2-20t+36÷t-2	$t^{2} - 20 t + 36 \div t - 2$
431	Convert to Interval Notation	x-y<0	$x - y < 0$
432	Find the Inverse	f(x)=(e^(x^(2-3x)))/(2x-3)	$f (x) = \frac{e^{x^{2 - 3 x}}}{2 x - 3}$
433	Evaluate the Difference Quotient	f(x)=x^2-7x+5 , (find(f(x+h)-f(x)))/h	$f (x) = x^{2} - 7 x + 5$ , $\frac{f i n d (f (x + h) - f (x))}{h}$
434	Find the Inverse	F(X)=X^3+2X-3X	$F (X) = X^{3} + 2 X - 3 X$
435	Find the Inverse	f(x)=-x^2+2x+3	$f (x) = - x^{2} + 2 x + 3$
436	Find the Inverse	f(x)=m	$f (x) = m$
437	Find the Inverse	f(x)=mx+b	$f (x) = m x + b$
438	Find the Roots (Zeros)	p(x)=x^4-3x^3-4x^2+12	$p (x) = x^{4} - 3 x^{3} - 4 x^{2} + 12$
439	Find the Inverse	f(x)=2x-7	$f (x) = 2 x - 7$
440	Find the x and y Intercepts	P(x)=x^3-7x^2-4x+28	$P (x) = x^{3} - 7 x^{2} - 4 x + 28$
441	Find the Maximum Number of Real Roots	(f(x)*1)/(2x)	$\frac{f (x) \cdot 1}{2 x}$
442	Find the Maximum Number of Real Roots	f(x)=2(x-3)^2+1	$f (x) = 2 {(x - 3)}^{2} + 1$
443	Find the Maximum Number of Real Roots	g(x)=x^3-4x^2+8x+7	$g (x) = x^{3} - 4 x^{2} + 8 x + 7$
444	Find the Maximum Number of Real Roots	2/(x^2)	$\frac{2}{x^{2}}$
445	Find the Maximum Number of Real Roots	0.000027	$0.000027$
446	Find the Midpoint	(1,4) , (-7,-4)	$(1, 4)$ , $(- 7, - 4)$
447	Find the Midpoint	(1,4) , (8,-7)	$(1, 4)$ , $(8, - 7)$
448	Find the Distance Between Two Points	(-1,0) , (7,-7)	$(- 1, 0) (7, - 7)$
449	Find the Distance Between Two Points	(-5,1) , (3,11)	$(- 5, 1) (3, 11)$
450	Solve by Substitution	3x+6y=18 , 5x+10y=30	$3 x + 6 y = 18$ , $5 x + 10 y = 30$
451	Solve by Substitution	-2x-4y=-8 , 4x-y=7	$- 2 x - 4 y = - 8$ , $4 x - y = 7$
452	Solve by Substitution	6x-7y=20 , 3x+5y=-7	$6 x - 7 y = 20$ , $3 x + 5 y = - 7$
453	Solve by Substitution	f=2500 , r=7%	$f = 2500$ , $r = 7 %$
454	Solve by Substitution	x+3y=4 , 2x-y=4	$x + 3 y = 4$ , $2 x - y = 4$
455	Solve by Substitution	y=3x-17 , y=-3x-17	$y = 3 x - 17$ , $y = - 3 x - 17$
456	Solve by Substitution	x+4x^2+3x^3=12 , -x-2x^2=-12 , 2x+2x^2+3x^3=8	$x + 4 x^{2} + 3 x^{3} = 12$ , $- x - 2 x^{2} = - 12$ , $2 x + 2 x^{2} + 3 x^{3} = 8$
457	Solve by Substitution	10x+10y=0 , 9x+5y=4	$10 x + 10 y = 0$ , $9 x + 5 y = 4$
458	Solve by Substitution	2x+3y-z=1 , 3x+5y+z=3	$2 x + 3 y - z = 1$ , $3 x + 5 y + z = 3$
459	Use the Rational Roots Test to Find All Possible Roots	9x^2+9x+3	$9 x^{2} + 9 x + 3$
460	Use the Rational Roots Test to Find All Possible Roots	s	$s$
461	Find the Roots/Zeros Using the Rational Roots Test	x^4-10x^3+47x^2-118x+130	$x^{4} - 10 x^{3} + 47 x^{2} - 118 x + 130$
462	Find the Roots/Zeros Using the Rational Roots Test	4x^3-14x^2+25	$4 x^{3} - 14 x^{2} + 25$
463	Convert to Interval Notation	2x+y<=10	$2 x + y \leq 10$
464	Convert to Interval Notation	4x-8<0	$4 x - 8 < 0$
465	Determine the Possible Number of Real Roots	3(a+2)+10(a+10)	$3 \cdot (a + 2) + 10 \cdot (a + 10)$
466	Determine the Possible Number of Real Roots	9x^3+18x^2-x-2	$9 x^{3} + 18 x^{2} - x - 2$
467	Use the Rational Roots Test to Find All Possible Roots	x^3+12x+44x+48	$x^{3} + 12 x + 44 x + 48$
468	Find the Roots/Zeros Using the Rational Roots Test	f(x)=4^2+24x+47	$f (x) = 4^{2} + 24 x + 47$
469	Convert to Interval Notation	\|7x\|<42	$\| 7 x \| < 42$
470	Convert to Interval Notation	7x+2y>14	$7 x + 2 y > 14$
471	Convert to Interval Notation	5x-2>7x+6	$5 x - 2 > 7 x + 6$
472	Convert to Interval Notation	(x^2+\|3x\|)/(x+3)>0	$\frac{x^{2} + \| 3 x \|}{x + 3} > 0$
473	Convert to Interval Notation	10x+6y<30	$10 x + 6 y < 30$
474	Convert to Interval Notation	(x-3)/(x+5)>0	$\frac{x - 3}{x + 5} > 0$
475	Convert to Interval Notation	3x(x-1)+2x>12-x	$3 x (x - 1) + 2 x > 12 - x$
476	Convert to Interval Notation	3y-4x<12	$3 y - 4 x < 12$
477	Convert to Interval Notation	6x-y<6	$6 x - y < 6$
478	Convert to Interval Notation	-2w+4<10	$- 2 w + 4 < 10$
479	Convert to Interval Notation	3x-y<3	$3 x - y < 3$
480	Convert to Interval Notation	x+2<5	$x + 2 < 5$
481	Evaluate the Function	f(-3)=(5x)/(x-3)	$f (- 3) = \frac{5 x}{x - 3}$
482	Evaluate the Function	f(x)=2x+1 , fg(x)=9x+3	$f (x) = 2 x + 1$ , $f g (x) = 9 x + 3$
483	Evaluate the Function	h(1)=12+2.4sin((2pi)/365*(1-80))	$h (1) = 12 + 2.4 \sin (\frac{2 π}{365} \cdot (1 - 80))$
484	Solve for x	square root of 6x^2+16x = square root of 3x+35	$\sqrt{6 x^{2} + 16 x} = \sqrt{3 x + 35}$
485	Solve for x	-7/3x+2/3=-18	$- \frac{7}{3} x + \frac{2}{3} = - 18$
486	Solve for x	(x^2)/(x+4)-2=x	$\frac{x^{2}}{x + 4} - 2 = x$
487	Solve for x	\|-8\|x=-32	$\| - 8 \| x = - 32$
488	Solve for x	1/14+1/17=1/x	$\frac{1}{14} + \frac{1}{17} = \frac{1}{x}$
489	Solve for x	1/8x-4=18	$\frac{1}{8} x - 4 = 18$
490	Solve for x	(x-4)^2=81	${(x - 4)}^{2} = 81$
491	Solve for A	cA^-1=1/c*A^-1	${(c A)}^{- 1} = \frac{1}{c} \cdot A^{- 1}$
492	Solve for x	1/3(5-2)+2=1/2(x+4)	$\frac{1}{3} \cdot (5 - 2) + 2 = \frac{1}{2} \cdot (x + 4)$
493	Solve for x	-1/4x-1/3y=12	$- \frac{1}{4} x - \frac{1}{3} y = 12$
494	Solve for x	1/6x+8=-8	$\frac{1}{6} x + 8 = - 8$
495	Solve for x	(2x-1/2)/4=3	$\frac{2 x - \frac{1}{2}}{4} = 3$
496	Solve for x	(2x)/(x-1)+1/4=7/8+2/(x-1)	$\frac{2 x}{x - 1} + \frac{1}{4} = \frac{7}{8} + \frac{2}{x - 1}$
497	Solve for x	5^(x^2+x)=1	$5^{x^{2} + x} = 1$
498	Solve for x	x^2-45=0	$x^{2} - 45 = 0$
499	Solve for x	3^(5x-3)=9	$3^{5 x - 3} = 9$
500	Solve for x	square root of 4x-7-2=1	$\sqrt{4 x - 7} - 2 = 1$