+ 12)
Determine n, given that -10*n**5 + 1094*n**4 + 714*n**3 - 5990*n**2 + 5512*n - 1320 = 0.
-3, 2/5, 1, 110
Suppose -35*x**4 - 290*x**3 - 815*x**2 - 840*x - 180 = 0. Calculate x.
-3, -2, -2/7
Factor h**3/2 + 3*h**2 + 11*h/2 + 3.
(h + 1)*(h + 2)*(h + 3)/2
Factor -7*p**4 + 310*p**3 - 3476*p**2 + 968*p.
-p*(p - 22)**2*(7*p - 2)
Factor -5*p**3/3 + 20*p**2/3 + 25*p/3.
-5*p*(p - 5)*(p + 1)/3
Let -4*s**3 + 84*s**2 - 140*s - 228 = 0. What is s?
-1, 3, 19
Factor 19*p**4/6 + 17*p**3/2 + 13*p**2/2 + p/6 - 1.
(p + 1)**3*(19*p - 6)/6
Find h, given that 5*h**4 + 65*h**3 + 200*h**2 + 180*h = 0.
-9, -2, 0
Determine l so that 2*l**3/5 + 1408*l**2/5 - 2822*l/5 + 1412/5 = 0.
-706, 1
Let 3*q**3/8 + 363*q**2/4 = 0. Calculate q.
-242, 0
Let -19*u**5 - 174*u**4 - 578*u**3 - 828*u**2 - 459*u - 54 = 0. Calculate u.
-3, -2, -1, -3/19
Let -c**5/2 - 2*c**4 + 7*c**3/2 + 17*c**2 - 6*c - 36 = 0. Calculate c.
-3, -2, 2
Factor 64*u**5 + 544*u**4 - 284*u**3 + 36*u**2.
4*u**2*(u + 9)*(4*u - 1)**2
Factor -44*o**2 + 1664*o + 304.
-4*(o - 38)*(11*o + 2)
Suppose o**2 - 210*o - 639 = 0. Calculate o.
-3, 213
Factor -5*s**4 + 20*s**3 - 5*s**2 - 30*s.
-5*s*(s - 3)*(s - 2)*(s + 1)
Factor 14*d**2/3 - 248*d/15.
2*d*(35*d - 124)/15
Factor -2*n**3 + 318*n**2 - 312*n - 632.
-2*(n - 158)*(n - 2)*(n + 1)
Factor -3*s**3/8 + 3*s**2/8.
-3*s**2*(s - 1)/8
Solve x**5 + x**4 - 29*x**3 - 29*x**2 + 136*x - 80 = 0 for x.
-4, 1, 5
Suppose -4*c**5 - 16*c**4 + 16*c**3 + 136*c**2 + 180*c + 72 = 0. What is c?
-3, -2, -1, 3
Let 25*n**5 + 1040*n**4 + 5505*n**3 - 112370*n**2 + 231500*n - 75000 = 0. What is n?
-25, 2/5, 2, 6
Find c such that -20*c**5 - 52*c**4 + 84*c**3 + 116*c**2 - 176*c + 48 = 0.
-3, -2, 2/5, 1
Factor 25*i**4/3 + 45*i**3 + 17*i**2 + 5*i/3.
i*(i + 5)*(5*i + 1)**2/3
Let 3*u**2 + 60*u + 108 = 0. What is u?
-18, -2
Determine y, given that -2*y**4/9 - 8*y**3/9 + 2*y**2/9 + 8*y/9 = 0.
-4, -1, 0, 1
Determine s so that -36*s**5 + 2*s**4 + 108*s**3 + 66*s**2 - 4*s = 0.
-1, 0, 1/18, 2
Solve -3*i**3/5 + 63*i**2/5 + 216*i/5 = 0.
-3, 0, 24
Factor t**2/3 - 13*t - 82/3.
(t - 41)*(t + 2)/3
Factor -2*z**3/13 + 200*z**2/13 - 198*z/13.
-2*z*(z - 99)*(z - 1)/13
Factor w**2/3 + 17*w - 106/3.
(w - 2)*(w + 53)/3
Suppose 3*z**3 - 81*z**2 + 729*z - 2187 = 0. Calculate z.
9
Find h, given that -h**2 - 785*h - 1566 = 0.
-783, -2
Find s such that -4*s**5 - 401*s**4 - 88*s**3 + 1195*s**2 - 502*s - 200 = 0.
-100, -2, -1/4, 1
Determine f so that 35*f**4 + 135*f**3 + 120*f**2 - 20*f = 0.
-2, 0, 1/7
Let 5*l**4 - 40*l**3 + 110*l**2 - 120*l + 45 = 0. What is l?
1, 3
Factor -6*b**3/11 + 288*b**2/11 + 918*b/11.
-6*b*(b - 51)*(b + 3)/11
Suppose 2*c**2/9 - 4732*c/9 + 4730/9 = 0. What is c?
1, 2365
Factor 5*y**4 - 1280*y**3 + 109650*y**2 - 3179000*y + 3070625.
5*(y - 85)**3*(y - 1)
Suppose -2*q**5/15 + 418*q**4/15 - 21626*q**3/15 - 1526*q**2 + 2940*q = 0. What is q?
-2, 0, 1, 105
Let -u**3 + 11*u**2 - 28*u = 0. What is u?
0, 4, 7
Factor -3*i**4 - 15*i**3 + 3*i**2 + 51*i - 36.
-3*(i - 1)**2*(i + 3)*(i + 4)
Let 2*i**4 - 6*i**3 - 40*i**2 + 96*i + 128 = 0. Calculate i.
-4, -1, 4
Factor -20*y**4/3 + 118*y**3/3 - 56*y**2 - 6*y.
-2*y*(y - 3)**2*(10*y + 1)/3
Solve -m**3/4 - 193*m**2/4 - 1855*m/4 - 4575/4 = 0.
-183, -5
Factor 4*h**3 + 780*h**2 - 1576*h.
4*h*(h - 2)*(h + 197)
Factor 3*t**2 + 216*t + 3888.
3*(t + 36)**2
Solve -4*g**4 + 212*g**3 - 408*g**2 = 0.
0, 2, 51
Let 3*c**2/8 + 21*c + 294 = 0. What is c?
-28
Solve -5*o**4 - 200*o**3 - 1555*o**2 + 9020*o - 7260 = 0.
-22, 1, 3
Find w, given that -3*w**4/4 + 19*w**3/4 - 39*w**2/4 + 29*w/4 - 3/2 = 0.
1/3, 1, 2, 3
Factor 5*i**5 - 40*i**4 + 30*i**3 + 40*i**2 - 35*i.
5*i*(i - 7)*(i - 1)**2*(i + 1)
Factor 5*a**4 - 540*a**3 + 17030*a**2 - 132300*a + 300125.
5*(a - 49)**2*(a - 5)**2
Suppose -2*c**3/19 - 124*c**2/19 - 542*c/19 + 84 = 0. Calculate c.
-57, -7, 2
Find l such that 2*l**3/13 - 224*l**2/13 - 3968*l/13 - 16384/13 = 0.
-8, 128
What is l in 3*l**2 + 15612*l + 20311212 = 0?
-2602
Find l such that 3*l**2/4 - 1875*l + 7497/4 = 0.
1, 2499
Factor 3*z**4 + 42*z**3 - 144*z**2 + 150*z - 51.
3*(z - 1)**3*(z + 17)
Find c, given that -3*c**2 + 282*c - 1080 = 0.
4, 90
What is n in -12*n**3 + 31521*n**2 - 23631*n - 7878 = 0?
-1/4, 1, 2626
Factor -5*k**2 - 295*k - 290.
-5*(k + 1)*(k + 58)
Factor -4*h**3/3 - 352*h**2/3 + 3044*h/3 - 896.
-4*(h - 7)*(h - 1)*(h + 96)/3
Find t such that 2*t**3 + 374*t**2 + 17670*t + 17298 = 0.
-93, -1
Factor -y**3/3 - 18*y**2 + 55*y/3.
-y*(y - 1)*(y + 55)/3
What is w in 4*w**2 - 544*w + 540 = 0?
1, 135
Factor s**3/9 + 34*s**2/9.
s**2*(s + 34)/9
Solve -3*d**4 + 165*d**3 - 132*d**2 - 1596*d - 1296 = 0.
-2, -1, 4, 54
Factor -x**3 + 8*x**2 + 19*x + 10.
-(x - 10)*(x + 1)**2
Solve -12*v**2 + 308*v - 200 = 0 for v.
2/3, 25
Factor 2*n**4/9 + 34*n**3/9 - 56*n**2/3.
2*n**2*(n - 4)*(n + 21)/9
Factor -2*m**2/11 + 266*m/11 - 1764/11.
-2*(m - 126)*(m - 7)/11
Factor -2*s**2 + 24*s + 26.
-2*(s - 13)*(s + 1)
Factor 2*t**3 - 6*t - 4.
2*(t - 2)*(t + 1)**2
Factor -3*a**2 - 3426*a - 3423.
-3*(a + 1)*(a + 1141)
Factor -2*m**3/9 + 4*m**2/3.
-2*m**2*(m - 6)/9
Solve -o**3 - 343*o**2 - 29240*o + 29584 = 0.
-172, 1
Factor -x**5/4 + 3*x**4 - 5*x**3 - x**2/2 + 21*x/4 - 5/2.
-(x - 10)*(x - 1)**3*(x + 1)/4
Find w such that -3*w**2 - 1590*w - 210675 = 0.
-265
Find a, given that 5*a**4 + 240*a**3 - 2245*a**2 - 240*a + 2240 = 0.
-56, -1, 1, 8
Solve 3*t**2/5 + 21*t/5 = 0.
-7, 0
Find d, given that d**2/5 - 6*d/5 - 8 = 0.
-4, 10
Solve -5*g**2 = 0.
0
Factor s**3/2 - 4*s**2 + 15*s/2.
s*(s - 5)*(s - 3)/2
Let -3*m**4/5 + 12*m**3/5 + 54*m**2/5 - 324*m/5 + 81 = 0. Calculate m.
-5, 3
Factor -19*p**3 - 59*p**2 - 44*p - 4.
-(p + 1)*(p + 2)*(19*p + 2)
Find m, given that -3*m**5 - 42*m**4 - 93*m**3 + 426*m**2 + 96*m - 384 = 0.
-8, -1, 1, 2
Determine t so that t**2/2 - 3*t + 5/2 = 0.
1, 5
Solve -q**2 + 1606*q - 644809 = 0 for q.
803
What is n in n**4/3 + 184*n**3/3 - 124*n**2 = 0?
-186, 0, 2
Suppose 2*b**2 + 636*b = 0. Calculate b.
-318, 0
Let 16*u**5/3 + 104*u**4/3 + 75*u**3 + 63*u**2 + 18*u = 0. What is u?
-3, -2, -3/4, 0
Solve 1849*u**4/8 + 860*u**3 + 671*u**2 - 240*u + 18 = 0.
-2, 6/43
Find f, given that -2*f**2 + 808*f/3 - 536/3 = 0.
2/3, 134
Find s such that -3*s**2/5 - 2682*s/5 - 599427/5 = 0.
-447
Let b**3/2 - 69*b**2/2 + 1587*b/2 - 12167/2 = 0. What is b?
23
Factor -o**3/2 + 9*o**2 - 22*o - 84.
-(o - 14)*(o - 6)*(o + 2)/2
Factor b**3/4 - 65*b**2/4 - 133*b/4 - 67/4.
(b - 67)*(b + 1)**2/4
Factor -2*b**2/7 - 4194*b/7 + 8396/7.
-2*(b - 2)*(b + 2099)/7
Suppose 2*r**5/7 + 8*r**4/7 - 20*r**2/7 - 2*r/7 + 12/7 = 0. Calculate r.
-3, -2, -1, 1
Factor 51*z**4 - 5514*z**3 + 149364*z**2 - 17496*z.
3*z*(z - 54)**2*(17*z - 2)
Factor -5*y**4/6 + 10*y**3/3 + 5*y**2/2 - 15*y.
-5*y*(y - 3)**2*(y + 2)/6
Find a, given that a**4/4 + 30*a**3 + 3717*a**2/4 + 3481*a/2 = 0.
-59, -2, 0
Factor -12*y**5 + 260*y**4 + 88*y**3.
-4*y**3*(y - 22)*(3*y + 1)
Factor 2*a**2 - 4984*a - 4986.
2*(a - 2493)*(a + 1)
Solve w**2/5 - 24*w/5 = 0 for w.
0, 24
Determine t, given that 5*t**2 + 175*t + 170 = 0.
-34, -1
Suppose -111*x**3 + 216*x**2 + 345*x + 18 = 0. What is x?
-1, -2/37, 3
What is x in 5041*x**2 + 18744*x + 17424 = 0?
-132/71
What is z in 8*z**5 - 98*z**4 + 230*z**3 - 50*z**2 - 238*z + 148 = 0?
-1, 1, 2, 37/4
Solve 2*s**2/11 - 48*s/11 + 46/11 = 0.
1, 23
Factor -5*x**2 + 70*x - 120.
-5*(x - 12)*(x - 2)
Let 5*t**2 - 585*t - 590 = 0. What is t?
-1, 118
Let g**3/4 + 411*g**2/4 = 0. What is g?
-411, 0
Solve p**4/2 + 48*p**3 + 1199*p**2 + 2256*p + 2209/2 = 0 for p.
-47, -1
Factor -b**2/3 - 2*b + 7/3.
-(b - 1)*(b + 7)/3
Factor 3*h**4 + 15*h**3 + 24*h**2 + 12*h.
3*h*(h + 1)*(h + 2)**2
Factor -g**4 + 8*g**3 - 15*g**2 - 8*g + 16.
-(g - 4)**2*(g - 1)*(g + 1)
Determine z so that z**2 - 62*z + 961 = 0.
31
Suppose -3*t**2/5 - 9*t/5 = 0. Calculate t.
-3, 0
Suppose 5*a**3 - 235*a**2 + 640*a + 880 = 0. What is a?
-1, 4, 44
Factor 2*w**4/3 + 490*w**3/3 + 30256*w**2/3 + 29768*w/3.
2*w*(w + 1)*(w + 122)**2/3
Determine h, given that -2*h**2/3 + 49*h/3 + 25/3 = 0.
-1/2, 25
Factor -3*x**2 - 10206*x - 8680203.
-3*(x + 1701)**2
Suppose -2*i**2/9 + 26*i/3 - 76/9 = 0. What is i?
1, 38
Determine b so that 2*b**2 - 12*b + 10 = 0.
1, 5
Solve 12*q**4 - 40*q**3 + 40*q - 12 = 0.
-1, 1/3, 1, 3
Factor 2*z**3/11 - 48*z**2/11 + 82*z/11 + 12.
2*(z - 22)*(z - 3)*(z + 1)/11
Factor -