, -19, 1
Factor l**3 + 84*l**2 + 1845*l + 3362.
(l + 2)*(l + 41)**2
Factor -s**4/3 + 56*s**3/3 - 392*s**2 + 10976*s/3 - 38416/3.
-(s - 14)**4/3
Determine y so that -y**5/3 + 12*y**4 = 0.
0, 36
Suppose 6*m**3 - 2*m**2 - 940*m - 624 = 0. What is m?
-12, -2/3, 13
Factor 3*o**3 + 1586*o**2/3 - 1241*o/3 - 118.
(o - 1)*(o + 177)*(9*o + 2)/3
Factor -k**3/4 - 71*k**2/4 - 35*k/2.
-k*(k + 1)*(k + 70)/4
Find g such that -4*g**3 + 4*g**2 + 48*g = 0.
-3, 0, 4
Find q such that -2*q**2/17 + 1946*q/17 - 1944/17 = 0.
1, 972
Determine s, given that 1051250*s**2/7 - 5800*s/7 + 8/7 = 0.
2/725
Determine w, given that 3*w**4 + 1914*w**3 + 11412*w**2 + 22776*w + 15168 = 0.
-632, -2
Determine a, given that -6*a**5/5 - 2068*a**4/5 - 3292*a**3/3 - 15064*a**2/15 - 5474*a/15 - 228/5 = 0.
-342, -1, -1/3
Factor 9*w**2 + 7320*w + 2439.
3*(w + 813)*(3*w + 1)
What is m in 52*m**5 - 44*m**4 - 476*m**3 + 396*m**2 + 72*m = 0?
-3, -2/13, 0, 1, 3
Factor 3*n**3 + 375*n**2 - 762*n.
3*n*(n - 2)*(n + 127)
Let -3*a**4/7 + 57*a**3/7 + 9*a**2/7 - 177*a/7 + 114/7 = 0. Calculate a.
-2, 1, 19
Let -u**2/4 - 52*u - 2704 = 0. Calculate u.
-104
Factor -18*c**2/5 - 11246*c/5 + 500.
-2*(c + 625)*(9*c - 2)/5
Suppose 2*r**3 - 8*r**2 - 58*r - 48 = 0. Calculate r.
-3, -1, 8
Suppose u**5/4 - 9*u**4/4 - 63*u**3/4 - 95*u**2/4 - 21*u/2 = 0. What is u?
-3, -1, 0, 14
Determine z, given that 2*z**5/11 + 10*z**4/11 - 2*z**3/11 - 10*z**2/11 = 0.
-5, -1, 0, 1
Factor 3*v**2 + 6516*v.
3*v*(v + 2172)
Factor 3*b**4/2 - 42*b**3 + 231*b**2/2 - 75*b.
3*b*(b - 25)*(b - 2)*(b - 1)/2
Factor -2*l**2 - 52*l + 240.
-2*(l - 4)*(l + 30)
Factor 2*n**4/13 + 56*n**3/13 - 864*n**2/13 - 38880*n/13 - 23328.
2*(n - 26)*(n + 18)**3/13
What is u in 2*u**5 + 30*u**4 + 148*u**3 + 264*u**2 + 144*u = 0?
-6, -2, -1, 0
Suppose t**5 - 54*t**4 - 6*t**3 + 316*t**2 + 429*t + 162 = 0. What is t?
-1, 3, 54
Let 2*z**2/11 + 46*z - 508/11 = 0. What is z?
-254, 1
Factor u**2/3 - 271*u/3.
u*(u - 271)/3
Factor -h**2/2 - 2225*h/2 + 1113.
-(h - 1)*(h + 2226)/2
Let 245*n**4 + 4620*n**3 + 16670*n**2 - 48180*n + 26645 = 0. What is n?
-73/7, 1
Factor -2*f**2/3 - 194*f/3 - 64.
-2*(f + 1)*(f + 96)/3
Let 4*b**3 + 588*b**2 + 1736*b + 1152 = 0. What is b?
-144, -2, -1
Determine a, given that 36*a**2 + 5896*a - 1312 = 0.
-164, 2/9
Factor 2*k**5/7 + 52*k**4 - 366*k**3/7.
2*k**3*(k - 1)*(k + 183)/7
Determine w, given that -2*w**5/5 - 12*w**4/5 + 146*w**3/5 - 428*w**2/5 + 504*w/5 - 208/5 = 0.
-13, 1, 2
Factor 2*q**2/7 + 20*q/7 - 750/7.
2*(q - 15)*(q + 25)/7
Suppose 2*p**5/9 - 80*p**4/9 + 1106*p**3/9 - 5900*p**2/9 + 8792*p/9 - 3920/9 = 0. What is p?
1, 10, 14
What is m in m**5 + 4*m**4 - m**3 - 16*m**2 - 12*m = 0?
-3, -2, -1, 0, 2
Factor 2*p**3/5 + 106*p**2/5 + 1262*p/5 + 2886/5.
2*(p + 3)*(p + 13)*(p + 37)/5
Determine v, given that 3*v**5 - 123*v**4 + 1767*v**3 - 10293*v**2 + 20262*v - 11616 = 0.
1, 2, 11, 16
Factor -i**4/3 + 22*i**3/3 + 47*i**2/3 + 8*i.
-i*(i - 24)*(i + 1)**2/3
Let -6*n**5/7 - 32*n**4/7 + 536*n**3/7 - 796*n**2/7 + 142*n/7 + 156/7 = 0. What is n?
-13, -1/3, 1, 6
What is w in -4*w**3 - 732*w**2 - 44652*w - 907924 = 0?
-61
Solve -2*s**4 = 0 for s.
0
Factor -2*k**2/9 - 158*k/9 + 1088/3.
-2*(k - 17)*(k + 96)/9
Find l, given that 15*l**5 - 20*l**4 - 65*l**3 + 30*l**2 + 100*l + 40 = 0.
-1, -2/3, 2
Solve 6*h**3/7 + 20*h**2/7 + 18*h/7 + 4/7 = 0 for h.
-2, -1, -1/3
Factor 5*b**2 + 220*b + 2420.
5*(b + 22)**2
Factor 2*o**3/9 - 6*o**2 + 30*o - 42.
2*(o - 21)*(o - 3)**2/9
Let 18*q**5/19 + 58*q**4/19 - 276*q**3/19 + 8*q**2 + 48*q/19 = 0. Calculate q.
-6, -2/9, 0, 1, 2
Factor -86*y**2/7 + 1028*y/7 + 48/7.
-2*(y - 12)*(43*y + 2)/7
Determine p, given that 5*p**3/3 + 1055*p**2 + 4200*p + 12580/3 = 0.
-629, -2
What is p in -4*p**4 + 3*p**3 + 12*p**2 - 17*p + 6 = 0?
-2, 3/4, 1
Factor -p**3/5 + 154*p**2/5 - 61*p + 152/5.
-(p - 152)*(p - 1)**2/5
Factor p**2 + 254*p - 1560.
(p - 6)*(p + 260)
Find b such that 3*b**2/4 + 57*b/2 - 450 = 0.
-50, 12
Factor -4*z**2 - 12*z - 8.
-4*(z + 1)*(z + 2)
Let -u**5/7 - 3*u**4 - 38*u**3/7 + 2*u**2/7 + 39*u/7 + 19/7 = 0. Calculate u.
-19, -1, 1
Determine x, given that -2*x**4/9 + 92*x**3/9 + 8*x**2/9 - 368*x/9 = 0.
-2, 0, 2, 46
Determine f so that 4*f**2 - 73*f + 18 = 0.
1/4, 18
Solve -3*g**4/2 - 25*g**3 - 10*g**2 + 100*g + 64 = 0.
-16, -2, -2/3, 2
Solve -3*p**4 - 42*p**3 + 3*p**2 + 42*p = 0.
-14, -1, 0, 1
Let 3*o**5/4 - 6*o**4 - 69*o**3/4 + 33*o**2/2 + 57*o + 30 = 0. Calculate o.
-2, -1, 2, 10
Factor 2*s**4 - 2*s**3 - 8*s**2 + 8*s.
2*s*(s - 2)*(s - 1)*(s + 2)
Find i such that -2*i**3 - 3*i**2/4 + 2*i + 3/4 = 0.
-1, -3/8, 1
Let -4*f**3/7 + 320*f**2/7 - 624*f/7 = 0. What is f?
0, 2, 78
Factor 2*n**2/5 - 7408*n/5 + 6859808/5.
2*(n - 1852)**2/5
Factor 4*a**3 + 3025*a**2 + 6788*a + 1508.
(a + 2)*(a + 754)*(4*a + 1)
Suppose -191*i**2 - 227*i - 36 = 0. What is i?
-1, -36/191
Factor -o**3 + 504*o**2 + 5115*o + 12850.
-(o - 514)*(o + 5)**2
Factor 4*j**2 - 44280*j + 122544900.
4*(j - 5535)**2
Solve x**3 + 1110*x**2 + 410700*x + 50653000 = 0 for x.
-370
Factor -3*z**2/2 - 249*z/2 - 1755.
-3*(z + 18)*(z + 65)/2
Factor 55*g**2/2 + 860*g + 465/2.
5*(g + 31)*(11*g + 3)/2
Determine b, given that 12*b**4 + 4*b**3 - 17*b**2 - 4*b + 5 = 0.
-1, -5/6, 1/2, 1
Factor -k**3/3 - 29*k**2/3 + 61*k/3 - 31/3.
-(k - 1)**2*(k + 31)/3
Factor -3*u**5/4 + 15*u**3/2 + 15*u**2 + 45*u/4 + 3.
-3*(u - 4)*(u + 1)**4/4
Factor g**3/11 - 424*g**2/11 - 3440*g/11 - 6912/11.
(g - 432)*(g + 4)**2/11
Factor -3*m**3 + 24*m**2 + 177*m + 234.
-3*(m - 13)*(m + 2)*(m + 3)
Find l such that -2*l**3 + 6*l**2 - 6*l + 2 = 0.
1
Solve 2*p**5/3 + 28*p**4 + 482*p**3/3 - 2800*p**2 + 20000*p/3 = 0 for p.
-25, 0, 4
Find n such that -n**5/2 - 9*n**4/2 + 33*n**3/2 + 109*n**2/2 - 84*n - 198 = 0.
-11, -2, 3
Let -p**4/11 - 2*p**3/11 + 36*p**2/11 + 162*p/11 + 189/11 = 0. What is p?
-3, 7
Determine i, given that 2*i**4/5 + 552*i**3 + 285660*i**2 + 65701800*i + 5666780250 = 0.
-345
Suppose -t**3 + 60*t**2 - 117*t + 58 = 0. Calculate t.
1, 58
Find m such that 12*m**2 - 1184*m - 396 = 0.
-1/3, 99
Let -140*d**5 - 625*d**4 - 790*d**3 - 140*d**2 + 120*d = 0. What is d?
-2, -3/4, 0, 2/7
Suppose -z**4/3 - 6*z**3 - 27*z**2 = 0. What is z?
-9, 0
Determine u so that -2*u**3 + 34*u**2 - 126*u - 162 = 0.
-1, 9
Suppose -5*d**5/4 + 69*d**4/4 + 57*d**3/2 - 185*d**2/2 + 147*d/4 + 45/4 = 0. Calculate d.
-3, -1/5, 1, 15
Find k, given that -2*k**2 - 838*k + 2532 = 0.
-422, 3
Find x, given that 5*x**2 - 345*x - 1080 = 0.
-3, 72
Solve v**3 + 114*v**2 + 3249*v = 0.
-57, 0
Factor -s**3 - 19*s**2 + 577*s + 595.
-(s - 17)*(s + 1)*(s + 35)
Determine l so that -l**2/8 + 235*l/2 - 55225/2 = 0.
470
Find n such that -27*n**3 + 57882*n**2 - 44997*n - 12858 = 0.
-2/9, 1, 2143
Factor -4*s**4 - 176*s**3 - 2100*s**2 - 3528*s.
-4*s*(s + 2)*(s + 21)**2
Factor a**3 - 107*a**2 + 104*a + 212.
(a - 106)*(a - 2)*(a + 1)
Let -w**2/5 - 16*w + 249/5 = 0. Calculate w.
-83, 3
Let 45*h**2 - 245*h + 310 = 0. What is h?
2, 31/9
Determine x so that -2*x**2 - 2138*x - 2136 = 0.
-1068, -1
Factor -2*w**4 - 48*w**3 - 42*w**2 + 92*w.
-2*w*(w - 1)*(w + 2)*(w + 23)
Factor -t**5/3 + 5*t**4 - 11*t**3/3 - 47*t**2/3 + 24*t - 28/3.
-(t - 14)*(t - 1)**3*(t + 2)/3
Determine f so that 3*f**5/5 - 279*f**4 + 161469*f**3/5 + 162867*f**2/5 = 0.
-1, 0, 233
Suppose m**4/2 - 9*m**3 - 56*m**2 - 39*m + 207/2 = 0. What is m?
-3, 1, 23
Factor p**2/10 - 2157*p/5 + 4652649/10.
(p - 2157)**2/10
Determine j so that -3*j**2 + 123*j = 0.
0, 41
Factor 4*a**2 - 76*a + 192.
4*(a - 16)*(a - 3)
Find t, given that 16*t**4 + 612*t**3 - 4072*t**2 - 1056*t = 0.
-44, -1/4, 0, 6
Factor -v**4 + 2*v**3 + 180*v**2 + 664*v + 640.
-(v - 16)*(v + 2)**2*(v + 10)
Factor -4*d**2 + 11*d - 6.
-(d - 2)*(4*d - 3)
Suppose -4*q**4 - 1848*q**3 - 213444*q**2 = 0. Calculate q.
-231, 0
Factor -q**4/3 - 20*q**3/3 + 47*q**2/3 + 22*q.
-q*(q - 3)*(q + 1)*(q + 22)/3
Solve 2*h**3/17 - 98*h**2/17 + 1150*h/17 + 1250/17 = 0.
-1, 25
Find q, given that -10*q**4 + 345*q**3 + 175*q**2 = 0.
-1/2, 0, 35
Factor 4*h**3 + 384*h**2 + 1124*h + 744.
4*(h + 1)*(h + 2)*(h + 93)
Let -o**4 + 155*o**3 + 318*o**2 - 620*o - 1256 = 0. Calculate o.
-2, 2, 157
Suppose 4*g**3 + 352*g**2 + 1028*g + 680 = 0. Calculate g.
-85, -2, -1
What is t in -2*t**4/5 + 12*t**2/5 + 16*t/5 + 6/5 = 0?
-1, 3
Determine v so that 2*v**3/13 - 178*v**2/13 = 0.
0, 89
D