8879031 = 0.
-453
Factor -9*q**2 - 282*q - 93.
-3*(q + 31)*(3*q + 1)
Factor -g**3 - 10*g**2 + 13*g + 22.
-(g - 2)*(g + 1)*(g + 11)
Factor q**3/5 - 76*q**2/5 - 156*q/5.
q*(q - 78)*(q + 2)/5
Factor -2*g**3 - 52*g**2 - 338*g.
-2*g*(g + 13)**2
Suppose 4*a**5/5 + 84*a**4/5 + 156*a**3/5 - 676*a**2 = 0. What is a?
-13, 0, 5
Factor 3*i**3/4 + 17*i**2/4 - 27*i/4 + 7/4.
(i - 1)*(i + 7)*(3*i - 1)/4
Factor 4*n**2/7 + 1000*n/7 + 62500/7.
4*(n + 125)**2/7
Suppose 2*h**4/9 - 286*h**3/9 + 10366*h**2/9 - 10082*h/9 = 0. Calculate h.
0, 1, 71
Solve 2*y**4/3 - 248*y**3/3 + 2562*y**2 + 248*y/3 - 7688/3 = 0.
-1, 1, 62
Factor 4*l**4/9 + 8*l**3/9 - 4*l**2/3.
4*l**2*(l - 1)*(l + 3)/9
Factor -8*r**4/15 - 14*r**3 - 52*r**2/15.
-2*r**2*(r + 26)*(4*r + 1)/15
Factor 2*v**2/7 + 1210*v/7 + 1208/7.
2*(v + 1)*(v + 604)/7
Factor 3*i**5/7 - 27*i**4/7 + 72*i**3/7 - 48*i**2/7.
3*i**2*(i - 4)**2*(i - 1)/7
Let y**5 + 384*y**4 + 48764*y**3 + 1997694*y**2 - 6340221*y + 4293378 = 0. What is y?
-129, 1, 2
Determine d so that 3*d**4/4 - 153*d**3/4 = 0.
0, 51
What is s in 5*s**5 + 5*s**4 - 15*s**3 - 25*s**2 - 10*s = 0?
-1, 0, 2
Suppose 2*w**3/3 - 10*w**2/3 + 4*w/3 + 16/3 = 0. Calculate w.
-1, 2, 4
Suppose 3*b**3 - 414*b**2 + 19044*b - 292008 = 0. Calculate b.
46
Factor 4*r**4 - 4*r**3 - 120*r**2 + 128*r + 640.
4*(r - 4)**2*(r + 2)*(r + 5)
Factor -30*z**4/7 + 538*z**3/21 - 356*z**2/7 + 232*z/7 + 16/21.
-2*(z - 2)**3*(45*z + 1)/21
Suppose -4*q**5/3 - 104*q**4/3 - 292*q**3 - 3208*q**2/3 - 5120*q/3 - 896 = 0. Calculate q.
-14, -4, -3, -1
Factor -4*o**3 - 2452*o**2 + 7384*o - 4928.
-4*(o - 2)*(o - 1)*(o + 616)
What is f in 5*f**5 + 45*f**4 - 5*f**3 - 45*f**2 = 0?
-9, -1, 0, 1
Find r such that -3*r**3 + 234*r**2 - 4788*r + 8664 = 0.
2, 38
Find i such that 5*i**4 - 40*i**3 + 105*i**2 - 110*i + 40 = 0.
1, 2, 4
Factor 3*q**5 - 18*q**4 - 9*q**3 + 48*q**2 + 36*q.
3*q*(q - 6)*(q - 2)*(q + 1)**2
Factor 5*c**5 - 30*c**4 + 55*c**3 - 30*c**2.
5*c**2*(c - 3)*(c - 2)*(c - 1)
Factor -3*d**3 - 39*d**2 + 855*d + 11475.
-3*(d - 17)*(d + 15)**2
Find r, given that -10*r**5/3 + 58*r**4/3 - 28*r**3/3 - 68*r**2/3 + 38*r/3 + 10/3 = 0.
-1, -1/5, 1, 5
Determine p so that -p**2 + 15*p - 36 = 0.
3, 12
Factor -4*b**2 + 6640*b + 6644.
-4*(b - 1661)*(b + 1)
Find k, given that -21*k**3/2 + 27*k**2/2 - 3*k = 0.
0, 2/7, 1
Solve -6*c**5 - 39*c**4 + 126*c**3 - 84*c**2 - 24*c + 27 = 0 for c.
-9, -1/2, 1
Find a such that -3*a**3 + 39*a**2 - 144*a + 108 = 0.
1, 6
Factor f**4/4 + 3*f**3/4 + f**2/2.
f**2*(f + 1)*(f + 2)/4
Factor -l**4/11 + 9*l**3/11 + 6*l**2/11 - 116*l/11 - 168/11.
-(l - 7)*(l - 6)*(l + 2)**2/11
Let z**2/3 - 5*z + 14/3 = 0. What is z?
1, 14
Factor -5*g**4 - 125*g**3 - 285*g**2 + 965*g - 550.
-5*(g - 1)**2*(g + 5)*(g + 22)
Factor 14*x**4/15 + 8*x**3/3 + 12*x**2/5 + 8*x/15 - 2/15.
2*(x + 1)**3*(7*x - 1)/15
Suppose j**3/4 - 33*j**2 + 4221*j/4 + 4489/2 = 0. Calculate j.
-2, 67
Factor -12*w**2 - 40*w - 28.
-4*(w + 1)*(3*w + 7)
Suppose -h**3 + 2*h**2 + 91*h + 88 = 0. Calculate h.
-8, -1, 11
Suppose -2*q**5/3 - 4*q**4 - 4*q**3/3 + 32*q**2 + 66*q + 36 = 0. What is q?
-3, -2, -1, 3
Factor -z**3/3 + 2*z**2 - 5*z/3 - 4.
-(z - 4)*(z - 3)*(z + 1)/3
Factor -3*g**2 - 702*g - 1392.
-3*(g + 2)*(g + 232)
Factor -36*f**2 - 1816*f - 800.
-4*(f + 50)*(9*f + 4)
Solve -3*z**2 - 21*z + 132 = 0 for z.
-11, 4
Determine h, given that 4*h**3 + 132*h**2 + 480*h + 464 = 0.
-29, -2
Find a, given that 14*a**5 - 24*a**4 + 6*a**3 + 4*a**2 = 0.
-2/7, 0, 1
Factor -2*m**3/9 + 44*m**2/9 - 304*m/9 + 640/9.
-2*(m - 10)*(m - 8)*(m - 4)/9
Factor -a**2/2 - 723*a/4 - 270.
-(a + 360)*(2*a + 3)/4
Factor -x**5 + 12*x**4 + 16*x**3 - 34*x**2 - 63*x - 26.
-(x - 13)*(x - 2)*(x + 1)**3
Factor -5*s**5 - 40*s**4 - 35*s**3.
-5*s**3*(s + 1)*(s + 7)
Factor -l**3 - 91*l**2 - 90*l.
-l*(l + 1)*(l + 90)
Factor p**4/6 - 25*p**3/6 + 63*p**2/2 - 407*p/6 + 121/3.
(p - 11)**2*(p - 2)*(p - 1)/6
Let 5*m**4 - 45*m**3 - 5*m**2 + 45*m = 0. Calculate m.
-1, 0, 1, 9
Solve 5*k**3 - 60*k**2 + 175*k = 0.
0, 5, 7
Find b, given that -3*b**2/4 + 2*b + 3/4 = 0.
-1/3, 3
Factor 100*w**2 - 1020*w + 2592.
4*(5*w - 27)*(5*w - 24)
Solve -2*o**2/9 - 82*o/3 + 500/9 = 0.
-125, 2
Suppose -4*b**2 + 552*b - 19044 = 0. Calculate b.
69
Factor 4*n**5 + 120*n**4 + 1092*n**3 + 2704*n**2.
4*n**2*(n + 4)*(n + 13)**2
Factor -m**5/3 - 44*m**4/3 - 388*m**3/3 + 704*m**2 - 768*m.
-m*(m - 2)**2*(m + 24)**2/3
Let -4*t**5 - 20*t**4 - 36*t**3 - 28*t**2 - 8*t = 0. Calculate t.
-2, -1, 0
Factor -2*g**4 - 42*g**3 - 330*g**2 - 1150*g - 1500.
-2*(g + 5)**3*(g + 6)
Factor -s**3/3 - 2*s**2 - 3*s.
-s*(s + 3)**2/3
Factor k**3/4 + 7*k**2/2 + 11*k + 10.
(k + 2)**2*(k + 10)/4
Find w such that 3*w**5 - 39*w**4 - 24*w**3 + 312*w**2 + 48*w - 624 = 0.
-2, 2, 13
Let -d**5/2 - 3*d**4/2 + 3*d**3 + 4*d**2 = 0. Calculate d.
-4, -1, 0, 2
Find q, given that -5*q**2 - 40*q + 240 = 0.
-12, 4
Factor u**5 - 7*u**4/3 + 4*u**3/3.
u**3*(u - 1)*(3*u - 4)/3
Determine b, given that 14*b**4/11 - 26*b**3/11 + 12*b**2/11 = 0.
0, 6/7, 1
What is l in l**2/5 + 337*l/5 - 204 = 0?
-340, 3
Factor -5*s**2 - 335*s.
-5*s*(s + 67)
Factor 5*v**2 - 3230*v + 3225.
5*(v - 645)*(v - 1)
Factor 3*n**3 + 9*n**2 - 54*n.
3*n*(n - 3)*(n + 6)
Find n such that n**4/4 + 221*n**3/2 + 330*n**2 + 659*n/2 + 439/4 = 0.
-439, -1
Let 3*p**2/7 - 1560*p/7 + 444 = 0. What is p?
2, 518
Determine b, given that b**2/4 - 29*b/4 - 31/2 = 0.
-2, 31
Let -2*n**3/9 - 10*n**2/9 - 16*n/9 - 8/9 = 0. What is n?
-2, -1
Factor 2*r**4/7 - 4*r**2/7 + 2/7.
2*(r - 1)**2*(r + 1)**2/7
Factor 2*d**3/15 + 2*d**2/5 - 2*d/15 - 2/5.
2*(d - 1)*(d + 1)*(d + 3)/15
Factor -2*m**5/15 - 2*m**4/3 - 4*m**3/5.
-2*m**3*(m + 2)*(m + 3)/15
Solve 3*t**5/8 - 486*t**4 + 209952*t**3 - 30233088*t**2 = 0 for t.
0, 432
Factor -6*j**2/5 - 1962*j/5 + 1188.
-6*(j - 3)*(j + 330)/5
Factor 3*m**4 + 27*m**3 - 387*m**2 - 2343*m + 13068.
3*(m - 9)*(m - 4)*(m + 11)**2
Let 2*i**4/17 - 6*i**3/17 - 10*i**2/17 + 6*i/17 + 8/17 = 0. What is i?
-1, 1, 4
Determine y, given that y**2/5 + 69*y/5 + 68/5 = 0.
-68, -1
Determine c, given that 5*c**2 - 415*c + 1200 = 0.
3, 80
Find n, given that 4*n**4 + 8*n**3 - 16*n**2 - 8*n + 12 = 0.
-3, -1, 1
Let n**3/3 + 2*n**2/3 - n = 0. Calculate n.
-3, 0, 1
Factor -t**5 - 97*t**4 - 973*t**3 - 2347*t**2 - 2158*t - 688.
-(t + 1)**3*(t + 8)*(t + 86)
Determine d so that 4*d**3/5 + 116*d**2/5 - 136*d = 0.
-34, 0, 5
Factor -2*d**5/9 - 40*d**4/9 - 28*d**3 - 392*d**2/9 + 686*d/9.
-2*d*(d - 1)*(d + 7)**3/9
Let -9*m**5/7 - 132*m**4/7 - 45*m**3/7 + 570*m**2/7 + 324*m/7 - 24 = 0. What is m?
-14, -2, -1, 1/3, 2
Solve 50*y**3 + 85*y**2 - 100*y = 0.
-5/2, 0, 4/5
Factor 3*b**3 + 3*b**2 - 6*b.
3*b*(b - 1)*(b + 2)
Factor 5*k**3/2 + 5*k**2/2 - 25*k + 20.
5*(k - 2)*(k - 1)*(k + 4)/2
Factor k**2/6 + 59*k/3 + 1177/6.
(k + 11)*(k + 107)/6
Suppose 9*v**5 - 15*v**4 - 47*v**3 + 35*v**2 - 6*v = 0. Calculate v.
-2, 0, 1/3, 3
Factor 3*s**5 - 27*s**4 + 69*s**3 - 45*s**2.
3*s**2*(s - 5)*(s - 3)*(s - 1)
Factor 5*g**3/3 + 70*g**2/3 + 40*g.
5*g*(g + 2)*(g + 12)/3
Factor 3*i**2/4 - 9*i - 135/4.
3*(i - 15)*(i + 3)/4
Let 14*o**2/5 - 122*o/15 - 4/5 = 0. Calculate o.
-2/21, 3
Find m, given that 60*m**3 + 5*m**2 - 80*m - 25 = 0.
-1, -1/3, 5/4
Determine s, given that -133*s**5/5 + 401*s**4/5 - 81*s**3 + 139*s**2/5 - 2*s/5 = 0.
0, 2/133, 1
Determine f, given that -6*f**3 + 16*f**2 + 40*f - 32 = 0.
-2, 2/3, 4
Factor 13*s**4 - 235*s**3 + 239*s**2 - 17*s.
s*(s - 17)*(s - 1)*(13*s - 1)
Factor 9*j**4/4 - 21*j**3 + 27*j**2/4.
3*j**2*(j - 9)*(3*j - 1)/4
What is y in -2*y**2/7 - 11*y/7 + 51/7 = 0?
-17/2, 3
Find y, given that -2*y**2 + 108*y - 106 = 0.
1, 53
Factor -a**4/3 + 2*a**3 - 11*a**2/3 + 2*a.
-a*(a - 3)*(a - 2)*(a - 1)/3
Factor 3*a**4 - 114*a**3 + 1404*a**2 - 5070*a - 6591.
3*(a - 13)**3*(a + 1)
Solve -8*r**5/5 + 96*r**4/5 - 74*r**3 + 502*r**2/5 - 54*r + 10 = 0.
1/2, 1, 5
Factor 5*w**2 - 460*w + 455.
5*(w - 91)*(w - 1)
Factor 6*c**5 + 22*c**4 - 78*c**3 + 42*c**2 + 32*c - 24.
2*(c - 1)**3*(c + 6)*(3*c + 2)
Factor -q**3 + 8*q**2 - 13*q + 6.
-(q - 6)*(q - 1)**2
Find f, given that 4*f**2 - 260*f + 744 = 0.
3, 62
Factor l**3/6 - 119*l**2/3 - 482*l/3 - 484/3.
(l - 242)*(l + 2)**2/6
Factor -2*y**4 - 84*y**3 + 5304*y**2 + 337552*y + 4716480.
-2*(y - 60)*(y + 34)**3
Let 94*z**2 - 4*z = 0. What is z?
0, 2/47
Suppose -3*h**3 + 414*h**2 = 0. What is h?
0, 138
Solve -2