nd o such that -4*o**5 - 12*o**4 + 24*o**3 + 32*o**2 = 0.
-4, -1, 0, 2
Factor k**4 - 530*k**3 + 70753*k**2 - 139920*k + 69696.
(k - 264)**2*(k - 1)**2
Solve -2*y**5/3 - 14*y**4 - 76*y**3/3 = 0.
-19, -2, 0
Solve -k**3/4 + 13*k**2/2 - 49*k/4 + 6 = 0 for k.
1, 24
Find m such that -2*m**2/7 + 122*m/7 + 36 = 0.
-2, 63
Determine u, given that 4*u**2 - 64*u - 68 = 0.
-1, 17
Solve -l**3 + 56*l**2 - 423*l = 0 for l.
0, 9, 47
Determine s, given that -2*s**5 - 32*s**4 + 338*s**3 + 368*s**2 = 0.
-23, -1, 0, 8
Suppose -2*r**2/9 - 8*r/3 - 6 = 0. Calculate r.
-9, -3
Find p, given that -208*p**5 + 1044*p**4 - 1060*p**3 - 1020*p**2 + 1268*p - 24 = 0.
-1, 1/52, 1, 2, 3
Factor -v**3/6 - 145*v**2/3 - 21025*v/6.
-v*(v + 145)**2/6
Determine d so that d**5 - 35*d**4 + 234*d**3 + 922*d**2 + 997*d + 345 = 0.
-1, 15, 23
Let u**4/5 + 271*u**3/5 - u**2/5 - 271*u/5 = 0. What is u?
-271, -1, 0, 1
Factor -56*r**3 + 180*r**2 - 36*r.
-4*r*(r - 3)*(14*r - 3)
Factor -3*f**3 - 285*f**2 - 1368*f - 1620.
-3*(f + 2)*(f + 3)*(f + 90)
Suppose 85*z**5 - 350*z**4 - 130*z**3 + 1040*z**2 + 645*z - 90 = 0. What is z?
-1, 2/17, 3
Let 20*r**2/9 + 2*r/3 - 2/9 = 0. Calculate r.
-1/2, 1/5
Let -2*f**3/7 + 32*f**2/7 - 8*f = 0. Calculate f.
0, 2, 14
Factor 5*t**3 + 140*t**2 + 605*t + 690.
5*(t + 2)*(t + 3)*(t + 23)
Suppose 9*n**2/8 - 753*n/4 - 126 = 0. What is n?
-2/3, 168
Factor 3*d**5 + 9*d**4 - 30*d**3.
3*d**3*(d - 2)*(d + 5)
Find l such that -l**2 - 1490*l + 1491 = 0.
-1491, 1
Let -274*c**5 + 278*c**4 - 4*c**3 = 0. Calculate c.
0, 2/137, 1
Solve -2*s**2 + 12*s + 14 = 0.
-1, 7
Determine q so that 3*q**4 + 7*q**3 - 19*q**2 + 5*q + 4 = 0.
-4, -1/3, 1
Solve -2*w**2 + 100*w = 0 for w.
0, 50
Let -5*b**2 + 1580*b - 9300 = 0. Calculate b.
6, 310
Find a, given that 35*a**5 - 115*a**4 + 135*a**3 - 65*a**2 + 10*a = 0.
0, 2/7, 1
Determine d, given that 2*d**3/11 - 4*d**2/11 - 30*d/11 + 72/11 = 0.
-4, 3
Solve 6*a**4/11 - 174*a**3/11 + 162*a**2 - 7290*a/11 + 8748/11 = 0.
2, 9
Factor 4*w**5 - 8*w**4 + 8*w**2 - 4*w.
4*w*(w - 1)**3*(w + 1)
Find o such that o**2/2 - 19*o/2 - 10 = 0.
-1, 20
Factor 3*q**5/4 - 3*q**4/2 - 189*q**3/4.
3*q**3*(q - 9)*(q + 7)/4
Determine o, given that -2*o**5/11 + 86*o**4/11 - 1332*o**3/11 + 8684*o**2/11 - 20618*o/11 + 13182/11 = 0.
1, 3, 13
Solve -6*d**5/11 + 42*d**4/11 + 270*d**3/11 - 1002*d**2/11 + 96*d - 360/11 = 0.
-6, 1, 10
Find h such that h**3 - 15*h**2 - 118*h - 168 = 0.
-4, -2, 21
Factor j**5/5 - 28*j**4/5 + 286*j**3/5 - 1204*j**2/5 + 245*j + 2744/5.
(j - 8)*(j - 7)**3*(j + 1)/5
Factor s**2/7 - 9*s/7 + 8/7.
(s - 8)*(s - 1)/7
Factor -3*b**3 - 222*b**2 - 435*b - 216.
-3*(b + 1)**2*(b + 72)
What is a in 4*a**4/9 - 16*a**3/9 + 4*a**2/3 = 0?
0, 1, 3
Factor 4*w**3 + 180*w**2 + 2112*w + 1936.
4*(w + 1)*(w + 22)**2
Determine f so that -2*f**4/7 - 48*f**3/7 - 34*f**2 = 0.
-17, -7, 0
Factor 6*d**4 - 26*d**3 - 10*d**2 + 114*d - 36.
2*(d - 3)**2*(d + 2)*(3*d - 1)
Factor m**4/3 - 14*m**3/3 + 15*m**2 + 56*m/3 - 196/3.
(m - 7)**2*(m - 2)*(m + 2)/3
Solve k**5/5 - k**4 + 3*k**3/5 + 17*k**2/5 - 28*k/5 + 12/5 = 0 for k.
-2, 1, 2, 3
Let -4*l**2 + 88*l - 484 = 0. Calculate l.
11
Factor -2*b**4/3 + 8*b**3 + 18*b**2 + 28*b/3.
-2*b*(b - 14)*(b + 1)**2/3
Suppose -l**2/2 - 5957*l - 35485849/2 = 0. Calculate l.
-5957
Factor -27*q**3 + 6582*q**2 - 11604*q - 2904.
-3*(q - 242)*(q - 2)*(9*q + 2)
Suppose -s**5 - s**4 + s**3 + s**2 = 0. What is s?
-1, 0, 1
Find h such that -49691875*h**4 - 498305500*h**3 - 13880400*h**2 - 129040*h - 400 = 0.
-10, -2/215
Determine p so that -5*p**5 - 95*p**4 - 710*p**3 - 2600*p**2 - 4640*p - 3200 = 0.
-5, -4, -2
Suppose g**2/2 - 134*g + 266 = 0. What is g?
2, 266
Factor 5*t**3 + 250*t**2.
5*t**2*(t + 50)
Factor 3*x**3 - 27*x**2 + 45*x + 75.
3*(x - 5)**2*(x + 1)
Factor f**2/3 + 124*f + 11532.
(f + 186)**2/3
Factor k**2/2 + 7*k/2.
k*(k + 7)/2
Factor g**3/2 - g**2 - 5*g/2 + 3.
(g - 3)*(g - 1)*(g + 2)/2
Let 5*r**2 - 5*r = 0. Calculate r.
0, 1
Factor -2*f**4/9 - 10*f**3/9 - 4*f**2/3.
-2*f**2*(f + 2)*(f + 3)/9
Factor -r**2/4 + r/4.
-r*(r - 1)/4
Find t, given that 3*t**3/2 + 3*t**2 - 12*t = 0.
-4, 0, 2
Factor -20*p**2 + 308*p - 1040.
-4*(p - 5)*(5*p - 52)
Let -3*g**3 - 120*g**2 + 249*g - 126 = 0. Calculate g.
-42, 1
Factor h**4 + 22*h**3 - 72*h**2 + 74*h - 25.
(h - 1)**3*(h + 25)
Factor 4*f**4 - 108*f**3 + 772*f**2 - 468*f - 1352.
4*(f - 13)**2*(f - 2)*(f + 1)
Factor -3*p**3/5 + 81*p**2 - 1194*p/5 + 792/5.
-3*(p - 132)*(p - 2)*(p - 1)/5
Determine y, given that -y**4 + 3*y**3 + y**2 - 3*y = 0.
-1, 0, 1, 3
Let 3*s**3/2 + 15*s**2 + 36*s = 0. Calculate s.
-6, -4, 0
Solve -g**2 - 43*g + 44 = 0 for g.
-44, 1
Suppose -15*h**5 - 69*h**4 + 75*h**3 + 177*h**2 - 228*h + 60 = 0. What is h?
-5, -2, 2/5, 1
What is z in 3*z**4/7 - 6*z**3/7 - 3*z**2 + 24*z/7 + 36/7 = 0?
-2, -1, 2, 3
Factor j**4/2 + 7*j**3/2 + 2*j**2 - 6*j.
j*(j - 1)*(j + 2)*(j + 6)/2
Factor -3*t**4/7 - 42*t**3 - 8031*t**2/7 - 5796*t - 57132/7.
-3*(t + 3)**2*(t + 46)**2/7
Suppose 1682*j**5/13 - 10788*j**4/13 + 24432*j**3/13 - 22240*j**2/13 + 6432*j/13 - 576/13 = 0. Calculate j.
6/29, 2
Factor -2*y**2 + 34*y - 60.
-2*(y - 15)*(y - 2)
Let -5*h**2 - 55*h + 510 = 0. Calculate h.
-17, 6
Factor -4*h**4 - 164*h**3 - 1172*h**2 + 11684*h + 12696.
-4*(h - 6)*(h + 1)*(h + 23)**2
Factor 5*n**3 - 55*n**2 + 50*n.
5*n*(n - 10)*(n - 1)
What is b in 2*b**3 - 680*b**2 + 1352*b = 0?
0, 2, 338
Let -3*p**5/8 + 1527*p**4/4 - 193545*p**3/2 - 195075*p**2 = 0. What is p?
-2, 0, 510
Let 15*j**2 + 957*j/4 - 12 = 0. Calculate j.
-16, 1/20
What is l in l**3 + 137*l**2 + 4760*l + 4624 = 0?
-68, -1
Find m, given that 2*m**5 - 124*m**4 + 1520*m**3 + 12256*m**2 + 26656*m + 18496 = 0.
-2, 34
Solve 125*t**3/6 - 265*t**2/3 + 310*t/3 - 20 = 0 for t.
6/25, 2
Let 18*r**4/13 + 4*r**3/13 - 54*r**2/13 + 24*r/13 + 8/13 = 0. Calculate r.
-2, -2/9, 1
Find a, given that -3*a**4 + 126*a**3 + 3*a**2 - 126*a = 0.
-1, 0, 1, 42
Find g such that -625*g**5/2 + 525*g**4/2 + 1298*g**3 - 1048*g**2 - 192*g - 8 = 0.
-2, -2/25, 1, 2
What is o in -o**4/2 - o**3/2 + 2*o**2 + 2*o = 0?
-2, -1, 0, 2
Factor h**3/6 - 146*h**2/3 + 7007*h/2 + 7203.
(h - 147)**2*(h + 2)/6
Determine g so that -14*g**4/9 - 52*g**3/9 + 94*g**2/3 - 272*g/9 + 56/9 = 0.
-7, 2/7, 1, 2
Find a such that -5*a**5 + 75*a**4 - 330*a**3 + 400*a**2 = 0.
0, 2, 5, 8
Let 35*h**2 + 50*h + 15 = 0. What is h?
-1, -3/7
Solve -2*c**3 - 42*c**2 - 240*c - 200 = 0 for c.
-10, -1
Factor 3*x**2/2 - 90*x + 513/2.
3*(x - 57)*(x - 3)/2
Suppose -2*z**3/9 + 10*z**2/3 + 32*z/9 - 160/3 = 0. Calculate z.
-4, 4, 15
Factor 3*c**5 + 11*c**4 + 15*c**3 + 9*c**2 + 2*c.
c*(c + 1)**3*(3*c + 2)
Find g such that 4*g**4 + 4*g**3 - 48*g**2 - 112*g - 64 = 0.
-2, -1, 4
Factor -21*j**3 + 57*j**2 + 228*j + 60.
-3*(j - 5)*(j + 2)*(7*j + 2)
Factor 2*c**3 + 4*c**2 - 6*c.
2*c*(c - 1)*(c + 3)
Factor 5*z**2 + 570*z + 16245.
5*(z + 57)**2
Find a, given that -4*a**2/9 - 292*a/9 - 568/9 = 0.
-71, -2
Let 18*z**3/19 - 104*z**2/19 - 24*z/19 = 0. Calculate z.
-2/9, 0, 6
Determine c so that -3*c**5 - 3*c**4 + 9*c**3 + 15*c**2 + 6*c = 0.
-1, 0, 2
Find d, given that -6*d**3 + 5168*d**2 - 1111118*d - 743044 = 0.
-2/3, 431
Solve 3*d**5/8 - 27*d**4/8 + 51*d**3/8 + 171*d**2/8 - 351*d/4 + 81 = 0.
-3, 2, 3, 4
Suppose -5*l**2/3 + 1265*l/3 = 0. What is l?
0, 253
Solve 2*t**5 - 16*t**4 + 48*t**3 - 64*t**2 + 32*t = 0 for t.
0, 2
Factor 5*p**4 + 50*p**3 + 135*p**2 + 90*p.
5*p*(p + 1)*(p + 3)*(p + 6)
Solve y**4/11 + 3*y**3 - 73*y**2/11 - 105*y/11 = 0.
-35, -1, 0, 3
Factor -3*r**5/8 - 87*r**4/8 + 45*r**3/4.
-3*r**3*(r - 1)*(r + 30)/8
Let 3*i**3 + 81*i**2 + 648*i + 1620 = 0. What is i?
-15, -6
Find v such that 5*v**4 + 525*v**3 + 3940*v**2 + 5820*v = 0.
-97, -6, -2, 0
Factor 2*k**3 + 23480*k**2 + 68913800*k.
2*k*(k + 5870)**2
Let p**2/5 + 89*p/5 = 0. Calculate p.
-89, 0
Factor -2*m**2 + 142*m.
-2*m*(m - 71)
Factor -2*q**2 + 160*q + 498.
-2*(q - 83)*(q + 3)
Factor s**2/2 - 421*s/2 - 211.
(s - 422)*(s + 1)/2
Let -6*f**4/5 - 62*f**3 - 158*f**2 - 58*f + 196/5 = 0. What is f?
-49, -2, -1, 1/3
Find l such that l**3/4 - 9243*l**2/4 + 28477683*l/4 - 29246580441/4 = 0.
3081
What is i in 2*i**3/3 + 40*i**2/3 - 46*i/3 - 28 = 0?
-21, -1, 2
Factor -3*q**3 + 3*q**2 + 3*q - 3.
-3*(q - 1)**2*(q + 1)
Factor 2*d**2/11 + 888*d/11 + 98568/11.
2*(d + 222)**2/11
Factor -k**2/4 + 1463*k/2 - 2140369/4.
-(k - 1463