)/5
Solve 2*q**4/3 + 40*q**3/9 - 62*q**2/9 + 16*q/9 = 0 for q.
-8, 0, 1/3, 1
Factor -z**3/2 - 18*z**2 - 35*z/2.
-z*(z + 1)*(z + 35)/2
Factor -5*x**4 + 32680*x**3 - 80098680*x**2 + 87254162080*x - 35643325209680.
-5*(x - 1634)**4
Factor -v**2/2 + 15*v/2 + 17.
-(v - 17)*(v + 2)/2
Factor -f**3/4 + 5*f**2/4 + f/4 - 5/4.
-(f - 5)*(f - 1)*(f + 1)/4
Factor -v**3/7 - 8502*v**2/7 - 18062496*v/7 + 36159008/7.
-(v - 2)*(v + 4252)**2/7
Suppose c**4/6 + 7*c**3/3 - c**2/6 - 7*c/3 = 0. What is c?
-14, -1, 0, 1
Factor -3*i**2/2 - 27*i - 135/2.
-3*(i + 3)*(i + 15)/2
Factor -2*k**2/17 - 724*k/17 - 65522/17.
-2*(k + 181)**2/17
Factor h**4/5 - 38*h**3 - 4*h**2/5 + 152*h.
h*(h - 190)*(h - 2)*(h + 2)/5
Solve 5*d**3 - 10*d**2 - 25*d + 30 = 0.
-2, 1, 3
Factor 47*t**2/3 + 45*t - 6.
(t + 3)*(47*t - 6)/3
Factor -8295*i**2 - 8285*i + 10.
-5*(i + 1)*(1659*i - 2)
Let l**3/2 - 132*l**2 + 11616*l - 340736 = 0. Calculate l.
88
Factor -2*f**2/7 - 62*f/7 - 260/7.
-2*(f + 5)*(f + 26)/7
Determine v, given that 3*v**5/2 + 51*v**4 - 123*v**3/2 - 309*v**2 + 222*v + 420 = 0.
-35, -2, -1, 2
Solve -3*a**3 + 321*a**2 + 330*a - 648 = 0 for a.
-2, 1, 108
Factor -n**3 + 104*n**2 - 204*n.
-n*(n - 102)*(n - 2)
Factor -3*g**2/5 + g - 2/5.
-(g - 1)*(3*g - 2)/5
Let -3*v**4/4 - 9*v**3/4 + 81*v**2 = 0. Calculate v.
-12, 0, 9
Factor 2*r**3/21 - 26*r**2/7 - 428*r/21 - 176/7.
2*(r - 44)*(r + 2)*(r + 3)/21
Find r such that 8*r**5/19 + 26*r**4/19 - 122*r**3/19 + 64*r**2/19 + 24*r/19 = 0.
-6, -1/4, 0, 1, 2
Determine u, given that -u**3/3 - 4*u**2/3 + u/3 + 4/3 = 0.
-4, -1, 1
Factor -4*j**2 - 76*j + 2448.
-4*(j - 17)*(j + 36)
Determine q, given that 2*q**3 + 10*q**2 - 34*q - 42 = 0.
-7, -1, 3
Suppose 8*y**5/7 - 4*y**4/7 - 24*y**3/7 = 0. What is y?
-3/2, 0, 2
Factor -3*p**5 + 18*p**4 - 33*p**3 + 6*p**2 + 36*p - 24.
-3*(p - 2)**3*(p - 1)*(p + 1)
Factor -5*i**3 + 90*i**2 - 75*i - 170.
-5*(i - 17)*(i - 2)*(i + 1)
Factor -3*t**3 + 1557*t**2 - 201240*t - 202800.
-3*(t - 260)**2*(t + 1)
Factor -2*h**3 - 6*h**2 + 20*h.
-2*h*(h - 2)*(h + 5)
What is h in h**5/3 + 4*h**4/3 - 5*h**3/3 - 20*h**2/3 + 4*h/3 + 16/3 = 0?
-4, -2, -1, 1, 2
Factor l**4 - 12*l**3 - 3*l**2 + 38*l - 24.
(l - 12)*(l - 1)**2*(l + 2)
Determine p so that -p**5/4 - 5*p**4/4 + 39*p**3/4 + 17*p**2/4 - 49*p/2 - 18 = 0.
-9, -1, 2, 4
Factor m**4/6 - 11*m**3 - m**2/2 + 98*m/3 + 22.
(m - 66)*(m - 2)*(m + 1)**2/6
Let -4*c**5 - 62*c**4 + 32*c**3 = 0. What is c?
-16, 0, 1/2
Solve 2*w**3 + 1256*w**2/5 - 3064*w/5 + 1024/5 = 0.
-128, 2/5, 2
Factor f**4 + 62*f**3 + 1129*f**2 + 5208*f + 7056.
(f + 3)**2*(f + 28)**2
Factor -p**3/2 - 17*p**2/2 - 15*p.
-p*(p + 2)*(p + 15)/2
What is g in 69*g**3/5 - 5859*g**2/5 - 102*g = 0?
-2/23, 0, 85
Factor -3*h**2/2 + 18*h.
-3*h*(h - 12)/2
Factor -2*x**4/15 + 146*x**3/15 - 912*x**2/5 + 864*x/5.
-2*x*(x - 36)**2*(x - 1)/15
Determine g, given that 2*g**4/13 - 4*g**3/13 - 16*g**2/13 + 36*g/13 - 18/13 = 0.
-3, 1, 3
Suppose -2*a**4 + 238*a**3 - 9594*a**2 + 136890*a - 237276 = 0. What is a?
2, 39
Factor -2*l**5 + 14*l**4 - 36*l**3 + 40*l**2 - 16*l.
-2*l*(l - 2)**3*(l - 1)
Solve -15*a**5 + 264*a**4/7 + 36*a**3 - 246*a**2/7 - 21*a - 18/7 = 0.
-1, -2/7, -1/5, 1, 3
Let -3*l**5 + 42*l**4 - 162*l**3 - 12*l**2 + 645*l + 450 = 0. Calculate l.
-1, 5, 6
Factor d**2 + 7176*d + 12873744.
(d + 3588)**2
Factor -5*v**3 - 40*v**2 + 155*v - 110.
-5*(v - 2)*(v - 1)*(v + 11)
Solve -5*q**4/7 + 4*q**3/7 + 60*q**2/7 - 128*q/7 + 64/7 = 0.
-4, 4/5, 2
Determine s so that -2*s**2 + 1384*s - 239432 = 0.
346
Factor c**4/10 - 43*c**3/10 + 111*c**2/5 + 2678*c/5 + 4732/5.
(c - 26)**2*(c + 2)*(c + 7)/10
Factor 2*o**3/3 + 32*o**2 + 94*o/3.
2*o*(o + 1)*(o + 47)/3
Let -2*j**5 - 11*j**4 - 11*j**3 + 15*j**2 + 9*j = 0. What is j?
-3, -1/2, 0, 1
Find o, given that -8*o**4 + 106*o**3 - 210*o**2 + 134*o - 22 = 0.
1/4, 1, 11
What is c in 2*c**3/5 + 164*c**2/5 - 1408*c/5 + 576 = 0?
-90, 4
Find x such that -5*x**3 - 45*x**2 + 1365*x + 14365 = 0.
-13, 17
Suppose 12*c**5 + 2204*c**4 + 7944*c**3 + 4272*c**2 - 8672*c - 5760 = 0. Calculate c.
-180, -2, -2/3, 1
Solve 3*h**5/5 - 81*h**4/5 + 657*h**3/5 - 303*h**2 + 1368*h/5 - 432/5 = 0 for h.
1, 12
Suppose 3*r**5/7 + 6*r**4/7 - 18*r**3/7 - 24*r**2/7 + 15*r/7 + 18/7 = 0. What is r?
-3, -1, 1, 2
Determine n so that -3*n**3 + 357*n**2 + 12*n - 1428 = 0.
-2, 2, 119
Determine y so that -83521*y**4 + 58956*y**3 - 15606*y**2 + 1836*y - 81 = 0.
3/17
Determine u so that 245*u**4 + 5075*u**3 - 31670*u**2 + 51040*u - 24960 = 0.
-26, 8/7, 3
Let -4*n**3 + 64*n**2 - 172*n - 240 = 0. Calculate n.
-1, 5, 12
What is l in 3*l**5/2 - 81*l**4 - 339*l**3 - 516*l**2 - 693*l/2 - 87 = 0?
-1, 58
Factor -5*r**2 - 155*r - 290.
-5*(r + 2)*(r + 29)
Factor j**5 - 42*j**4 + 408*j**3 - 1520*j**2 + 2448*j - 1440.
(j - 30)*(j - 6)*(j - 2)**3
Suppose -5*r**2 + 480*r - 475 = 0. Calculate r.
1, 95
Solve p**2/2 + 6*p - 14 = 0.
-14, 2
Solve -g**2/2 + 27*g - 729/2 = 0 for g.
27
Factor -2*s**4/5 - 202*s**3/5 - 4558*s**2/5 + 5618*s.
-2*s*(s - 5)*(s + 53)**2/5
Determine w, given that -w**4 - 15*w**3/4 + w**2 = 0.
-4, 0, 1/4
Factor -31*z**3 + 188*z**2 - 167*z + 10.
-(z - 5)*(z - 1)*(31*z - 2)
Determine n so that -10*n**5/3 - 12*n**4 + 82*n**3/3 + 20*n**2 = 0.
-5, -3/5, 0, 2
Factor -4*c**2 + 444*c.
-4*c*(c - 111)
Factor -g**2/9 + 28*g/3 - 83/9.
-(g - 83)*(g - 1)/9
Suppose -5*n**2 + 35*n + 300 = 0. What is n?
-5, 12
Let -n**2 - 94*n - 688 = 0. Calculate n.
-86, -8
Find j, given that j**3/3 - 3*j**2 + 2*j/3 + 16 = 0.
-2, 3, 8
Solve 3*d**4 - 6*d**3 = 0.
0, 2
Factor 2*y**3/3 + 82*y**2 + 244*y/3.
2*y*(y + 1)*(y + 122)/3
Factor s**2/3 - 2*s + 3.
(s - 3)**2/3
Factor -5*d**3 + 75*d**2 - 375*d + 625.
-5*(d - 5)**3
Factor -p**2/2 + 9*p - 17/2.
-(p - 17)*(p - 1)/2
Find y such that -2*y**2 - 2016*y - 508032 = 0.
-504
Find f, given that 5*f**2 + 20*f - 225 = 0.
-9, 5
Determine s so that s**5 + 53*s**4 + 616*s**3 - 2352*s**2 = 0.
-28, 0, 3
Let 3*u**5 + 27*u**4 + 30*u**3 - 180*u**2 - 168*u + 288 = 0. Calculate u.
-6, -4, -2, 1, 2
Factor 5*z**4/8 - 7*z**3/2 + 13*z**2/8 + 5*z/4.
z*(z - 5)*(z - 1)*(5*z + 2)/8
Factor 9*w**3 + 372*w**2 + 825*w + 234.
3*(w + 2)*(w + 39)*(3*w + 1)
Factor j**4/3 - 6*j**3 + 109*j**2/3 - 84*j + 196/3.
(j - 7)**2*(j - 2)**2/3
Find y, given that -y**5/4 - y**4 - 5*y**3/4 - y**2/2 = 0.
-2, -1, 0
Factor -n**4 - 6*n**3 + 3*n**2 + 52*n + 60.
-(n - 3)*(n + 2)**2*(n + 5)
Factor -3*s**2 - 3*s + 18.
-3*(s - 2)*(s + 3)
Factor -4*c**3 - 372*c**2 - 1008*c + 6480.
-4*(c - 3)*(c + 6)*(c + 90)
Factor 5*k**5 + 4570*k**4 - 18340*k**3 + 18360*k**2.
5*k**2*(k - 2)**2*(k + 918)
Let 36*o**5 - 316*o**4 + 900*o**3 - 900*o**2 + 184*o + 96 = 0. Calculate o.
-2/9, 1, 3, 4
Find m, given that -2*m**2/13 + 1156*m/13 = 0.
0, 578
Let -5*o**5 + 250*o**4 + 1335*o**3 + 2180*o**2 + 1100*o = 0. What is o?
-2, -1, 0, 55
Factor 9*a**3 + 39*a**2 - 96*a - 36.
3*(a - 2)*(a + 6)*(3*a + 1)
Find a such that -5*a**3 + 20*a**2 = 0.
0, 4
Let -3*b**3/7 - 9*b**2/7 + 30*b/7 = 0. Calculate b.
-5, 0, 2
What is h in -6*h**5 - 44*h**4 - 34*h**3 + 92*h**2 + 40*h - 48 = 0?
-6, -2, -1, 2/3, 1
Suppose -2*t**5/11 - 78*t**4/11 + 1030*t**3/11 - 3450*t**2/11 + 2500*t/11 = 0. What is t?
-50, 0, 1, 5
What is t in 3*t**3/7 - 33*t**2/7 - 6*t + 72/7 = 0?
-2, 1, 12
Find z, given that -8*z**5 + 175*z**4 - 1322*z**3 + 4184*z**2 - 4576*z - 640 = 0.
-1/8, 4, 10
Factor -4*s**3 - 712*s**2 + 4396*s - 3680.
-4*(s - 5)*(s - 1)*(s + 184)
Factor 5*n**4 - 75*n**3 + 60*n**2 + 140*n.
5*n*(n - 14)*(n - 2)*(n + 1)
What is u in -2*u**3 + 70*u**2 - 814*u + 3146 = 0?
11, 13
Solve -3*t**5 + 9*t**4 + 198*t**3 - 210*t**2 - 963*t - 567 = 0 for t.
-7, -1, 3, 9
Factor o**2/3 + 403*o/3.
o*(o + 403)/3
Determine h so that 5*h**4 + 33770*h**3 + 57054405*h**2 + 114007520*h + 56986880 = 0.
-3376, -1
What is l in -3*l**2/4 + 369*l/2 - 45387/4 = 0?
123
Suppose -4*s**5 - 64*s**4 - 256*s**3 - 424*s**2 - 316*s - 88 = 0. What is s?
-11, -2, -1
Factor -5*f**2 - 4350*f - 946125.
-5*(f + 435)**2
Suppose 2*i**3 - 56*i**2 - 342*i + 396 = 0. Calculate i.
-6, 1, 33
Factor 15*q**3/8 - 489*q**2/8 + 771*q/4 + 87.
3*(q - 29)*(q - 4)*(5*q + 2)/8
Find r, given that r**4/4 - 9*r**3/4 + 9*r**2/2 + r - 6 = 0.
-1, 2, 6
Factor 85*m**2 + 690*m + 80.
5*(m + 8)*(17*m + 2)
Determine c so that -6*c**4/11 - 20*c**3/11 + 10*c**2/11 + 40*c/11 - 24/11 = 0.
-3, -2, 2/3, 1
Determine o, given that -