 864.
3*(h - 288)*(h - 1)
Factor 4*m**3 + 16*m**2 - 28*m - 40.
4*(m - 2)*(m + 1)*(m + 5)
Factor -4*h**2 - 2096*h + 2100.
-4*(h - 1)*(h + 525)
Factor -27*k**3 - 1089*k**2 - 1416*k - 468.
-3*(k + 39)*(3*k + 2)**2
Factor -2*w**4 + 38*w**3 - 238*w**2 + 490*w.
-2*w*(w - 7)**2*(w - 5)
Determine t so that 5*t**4 + 790*t**3 + 31985*t**2 + 61620*t + 30420 = 0.
-78, -1
Factor 4*o**3/5 - 56*o**2 + 5168*o/5 - 9248/5.
4*(o - 34)**2*(o - 2)/5
Solve -15*h**4 - 276*h**3 - 93*h**2 + 276*h + 108 = 0 for h.
-18, -1, -2/5, 1
Solve -2*t**4/13 - 4*t**3 + 74*t**2/13 + 556*t/13 + 432/13 = 0 for t.
-27, -2, -1, 4
Factor -4*b**2 + 4*b + 24.
-4*(b - 3)*(b + 2)
Determine i, given that -2*i**3 - 104*i**2 + 338*i + 440 = 0.
-55, -1, 4
Find a such that -5*a**4 + 1940*a**3 + 5850*a**2 + 5860*a + 1955 = 0.
-1, 391
Factor -s**2/6 + 33*s + 204.
-(s - 204)*(s + 6)/6
Factor 38*l**2/17 + 312*l/17 + 64/17.
2*(l + 8)*(19*l + 4)/17
Factor 3*p**3/4 - 357*p**2/4 + 2610*p + 2700.
3*(p - 60)**2*(p + 1)/4
Let q**3/2 + 32*q**2 + 330*q + 936 = 0. Calculate q.
-52, -6
Factor -2*y**3/9 - 46*y**2/9 + 292*y/9 + 112/3.
-2*(y - 6)*(y + 1)*(y + 28)/9
Determine v, given that -9*v**4 + 4*v**3 + 9*v**2 - 4*v = 0.
-1, 0, 4/9, 1
Factor b**2 - 16*b - 105.
(b - 21)*(b + 5)
Solve 2*r**5 + 24*r**4 - 2*r**3 - 24*r**2 = 0 for r.
-12, -1, 0, 1
Factor -b**3/5 + b**2/5 + 2*b + 8/5.
-(b - 4)*(b + 1)*(b + 2)/5
Factor -4*v**3 - 60*v**2 - 252*v - 196.
-4*(v + 1)*(v + 7)**2
Factor c**3 - 3*c + 2.
(c - 1)**2*(c + 2)
Suppose -6*o**2/7 + 492*o/7 + 498/7 = 0. Calculate o.
-1, 83
Find w such that w**3/2 + 6*w**2 + 11*w/2 = 0.
-11, -1, 0
Factor 10*l**3/3 - 472*l**2/3 - 1912*l/15 - 128/5.
2*(l - 48)*(5*l + 2)**2/15
Solve -3*w**2 + 63*w + 66 = 0 for w.
-1, 22
Suppose 2*x**3/17 - 496*x**2/17 + 6650*x/17 - 22932/17 = 0. Calculate x.
7, 234
Factor -7*r**5/5 + 286*r**4 - 97512*r**3/5 + 2228768*r**2/5 - 628864*r/5.
-r*(r - 68)**3*(7*r - 2)/5
Find u, given that -3*u**2 - 24*u - 36 = 0.
-6, -2
Factor -5*u**3 - 40*u**2 - 80*u.
-5*u*(u + 4)**2
Let -5*j**5 - 593*j**4 - 17757*j**3 - 10207*j**2 + 6962*j = 0. Calculate j.
-59, -1, 0, 2/5
Solve -5*b**2 - 2860*b - 2855 = 0 for b.
-571, -1
Factor -i**3 - 7*i**2 - 16*i - 12.
-(i + 2)**2*(i + 3)
Factor -4*j**2/5 + 37*j/5 - 9/5.
-(j - 9)*(4*j - 1)/5
Factor -3*x**3/8 + 279*x**2/8 - 4293*x/8 + 18225/8.
-3*(x - 75)*(x - 9)**2/8
Factor -5*s**5 - 1395*s**4 - 95190*s**3 + 293990*s**2 - 296805*s + 99405.
-5*(s - 1)**3*(s + 141)**2
Factor -50*m**4 - 134460*m**3 - 90343658*m**2 + 72339480*m - 14472200.
-2*(m + 1345)**2*(5*m - 2)**2
Solve b**3/5 - 44*b**2/5 + 437*b/5 + 1058/5 = 0 for b.
-2, 23
Factor h**2 + 3830*h + 3667225.
(h + 1915)**2
Factor 2*o**4 + 22*o**3 + 60*o**2.
2*o**2*(o + 5)*(o + 6)
Factor p**3 + 4*p**2 + 3*p.
p*(p + 1)*(p + 3)
Factor -a**3/4 - 299*a**2/2 - 22499*a - 44402.
-(a + 2)*(a + 298)**2/4
Determine c, given that -c**5 - 3960*c**4 - 5880600*c**3 - 3881196000*c**2 - 960596010000*c = 0.
-990, 0
Factor l**2/6 - 10*l + 58/3.
(l - 58)*(l - 2)/6
Let 1364*x**4/7 + 448*x**3 + 2148*x**2/7 + 344*x/7 - 32/7 = 0. What is x?
-1, -4/11, 2/31
Factor -3*z**3/2 + 1209*z**2 - 2412*z.
-3*z*(z - 804)*(z - 2)/2
Factor -d**2/5 - 8*d + 41/5.
-(d - 1)*(d + 41)/5
Factor -288*t**2 + 60*t - 25/8.
-(48*t - 5)**2/8
Factor -x**3/3 - 8*x**2 - 45*x - 112/3.
-(x + 1)*(x + 7)*(x + 16)/3
Find h, given that 4*h**3/7 - 4*h + 24/7 = 0.
-3, 1, 2
Determine k so that 2*k**3/9 + 10*k**2/9 - 16*k/9 - 32/3 = 0.
-4, 3
Find s such that -5*s**5 + 65*s**4 + 4405*s**3 - 75085*s**2 - 4400*s + 75020 = 0.
-31, -1, 1, 22
Factor v**3 - 1291*v**2 - 1294*v + 2584.
(v - 1292)*(v - 1)*(v + 2)
Suppose -3*p**3 - 2994*p**2 - 2991*p = 0. Calculate p.
-997, -1, 0
Solve 5*f**4/3 + 80*f**3/3 - 380*f**2 - 16000*f/3 + 35840/3 = 0.
-16, 2, 14
Factor 3*d**5 + 33*d**4 + 93*d**3 + 63*d**2.
3*d**2*(d + 1)*(d + 3)*(d + 7)
Factor 4*p**3 + 48*p**2 + 68*p - 120.
4*(p - 1)*(p + 3)*(p + 10)
Factor -3*a**2 + 1635*a + 1638.
-3*(a - 546)*(a + 1)
Determine n so that -n**3/7 + 3*n**2/7 + 4*n/7 = 0.
-1, 0, 4
Suppose z**5/5 - 4*z**4/5 - 18*z**3/5 + 72*z**2/5 + 81*z/5 - 324/5 = 0. Calculate z.
-3, 3, 4
Factor 5*k**5 - 15*k**4 + 10*k**3.
5*k**3*(k - 2)*(k - 1)
Let -4*i**5/9 + 64*i**4/9 - 296*i**3/9 + 416*i**2/9 - 20*i = 0. Calculate i.
0, 1, 5, 9
Determine s so that -21*s**4 - 9*s**3 + 1836*s**2/7 - 1020*s/7 + 144/7 = 0.
-4, 2/7, 3
Solve r**3/4 - 23*r**2/4 + 31*r/2 - 10 = 0.
1, 2, 20
Factor -4*t**3 + 108*t**2 - 780*t + 676.
-4*(t - 13)**2*(t - 1)
Let 3*w**4/8 + 9*w**3 - 153*w**2/8 + 39*w/4 = 0. What is w?
-26, 0, 1
Factor -3*l**3 + 45*l**2 - 81*l + 39.
-3*(l - 13)*(l - 1)**2
Factor o**2 - 244*o + 14884.
(o - 122)**2
Factor -2*j**2/7 + 236*j/7 + 250.
-2*(j - 125)*(j + 7)/7
Suppose 4*z**2/7 - 268*z/7 - 272/7 = 0. What is z?
-1, 68
Suppose 3*n**5/8 + 189*n**4/8 + 516*n**3 + 4260*n**2 + 7200*n - 12000 = 0. Calculate n.
-20, -4, 1
Let -3*o**3 + 363*o**2 + 3*o - 363 = 0. Calculate o.
-1, 1, 121
Solve 3*r**3 - 495*r**2 + 1932*r = 0.
0, 4, 161
Suppose -q**2/6 - 18*q - 270 = 0. Calculate q.
-90, -18
Factor -2*u**3/9 + 694*u**2/9 + 232*u/3.
-2*u*(u - 348)*(u + 1)/9
Factor -2*o**2/9 - 1844*o/9 + 1850/3.
-2*(o - 3)*(o + 925)/9
Determine b, given that 3*b**5 + 225*b**4 + 4089*b**3 - 5481*b**2 - 22344*b - 12996 = 0.
-38, -1, 3
What is d in 4*d**5 - 6888*d**4 + 4444472*d**3 - 1272091328*d**2 + 135466580772*d + 276057192968 = 0?
-2, 431
Let -d**2/4 + 11*d/4 + 273 = 0. Calculate d.
-28, 39
Determine c so that -c**3 + 23*c**2 + 24*c = 0.
-1, 0, 24
Find h such that -4*h**4 - 8*h**3 + 60*h**2 = 0.
-5, 0, 3
Factor -2*p**5 - 26*p**4 - 46*p**3 - 22*p**2.
-2*p**2*(p + 1)**2*(p + 11)
Factor 3*n**3/2 - 159*n**2 + 315*n/2.
3*n*(n - 105)*(n - 1)/2
Find c, given that 2*c**3/11 - 36*c**2/11 - 8*c/11 + 144/11 = 0.
-2, 2, 18
Solve -2*y**3/5 + 32*y**2/5 - 126*y/5 = 0.
0, 7, 9
Suppose -5*w**3 - 115*w**2 - 110*w = 0. What is w?
-22, -1, 0
Factor 4*d**4 - 32*d**3 - 2476*d**2 - 4840*d - 2400.
4*(d - 30)*(d + 1)**2*(d + 20)
What is m in 2*m**5/11 + 6*m**4/11 - 2*m**3/11 - 2*m**2 - 24*m/11 - 8/11 = 0?
-2, -1, 2
Determine n, given that 6*n**4 + 129*n**3 - 4506*n**2 + 27420*n - 12600 = 0.
-42, 1/2, 10
Solve -30*h**4/13 + 332*h**3/13 - 66*h**2 + 12*h/13 + 112/13 = 0 for h.
-1/3, 2/5, 4, 7
Let -13*z**5/3 + 158*z**4/3 + 145*z**3/3 - 26*z**2/3 = 0. What is z?
-1, 0, 2/13, 13
Let 2*j**3/5 + 44*j**2/5 - 64*j + 448/5 = 0. What is j?
-28, 2, 4
What is u in -u**5/2 - 39*u**4/2 - 435*u**3/2 - 1081*u**2/2 - 504*u - 162 = 0?
-18, -1
Factor 15*o**5 - 95*o**4 + 165*o**3 - 45*o**2.
5*o**2*(o - 3)**2*(3*o - 1)
Factor -k**3/3 - 187*k**2 - 560*k/3.
-k*(k + 1)*(k + 560)/3
Find f such that -4*f**2/3 - 116*f/3 = 0.
-29, 0
Factor -4*h**4 + 100*h**3 - 456*h**2 - 2128*h - 1568.
-4*(h - 14)**2*(h + 1)*(h + 2)
Suppose -2*t**5 + 40*t**4 - 36*t**3 - 40*t**2 + 38*t = 0. Calculate t.
-1, 0, 1, 19
Determine o, given that 3*o**2/2 - 33*o/2 - 228 = 0.
-8, 19
Find f such that 28*f**4 - 13*f**3 - 34*f**2 + 13*f + 6 = 0.
-1, -2/7, 3/4, 1
Solve -15*x**4 + 65*x**3 - 95*x**2 + 55*x - 10 = 0 for x.
1/3, 1, 2
Factor 3*k**3 + 261*k**2 - 270*k - 528.
3*(k - 2)*(k + 1)*(k + 88)
Solve k**3/6 + 15*k**2/2 + 72*k + 198 = 0 for k.
-33, -6
Solve 2*o**4/7 - 12*o**3/7 + 108*o/7 - 162/7 = 0.
-3, 3
Factor b**2/2 + 295*b + 589/2.
(b + 1)*(b + 589)/2
Suppose s**3 - 71*s**2 - s + 71 = 0. Calculate s.
-1, 1, 71
Find p, given that 2*p**2/7 - 3396*p/7 - 3398/7 = 0.
-1, 1699
Solve -2*x**3 - 6214*x**2 - 4829830*x - 4823618 = 0 for x.
-1553, -1
Factor 95*g**2 + 470*g - 25.
5*(g + 5)*(19*g - 1)
Solve -3*y**2/5 + 1092*y/5 = 0 for y.
0, 364
Solve -2*m**5/3 + 62*m**4/3 - 598*m**3/3 + 1690*m**2/3 = 0 for m.
0, 5, 13
Find h, given that 4*h**3 + 36*h**2 - 64*h - 240 = 0.
-10, -2, 3
Factor d**5 - 10*d**4 + 34*d**3 - 52*d**2 + 37*d - 10.
(d - 5)*(d - 2)*(d - 1)**3
Let i**3/3 + 149*i**2/3 + 560*i + 1644 = 0. What is i?
-137, -6
Suppose j**3/4 - 139*j**2/2 + 1369*j/4 - 273 = 0. Calculate j.
1, 4, 273
Suppose 2*f**5 + 30*f**4 + 94*f**3 + 66*f**2 = 0. Calculate f.
-11, -3, -1, 0
Factor 12*r**2 + 296*r - 100.
4*(r + 25)*(3*r - 1)
Solve -d**3/12 - 73*d**2/4 + 147*d/4 - 221/12 = 0 for d.
-221, 1
Suppose 8*b**3/7 - 1688*b**2/7 - 2*b/7 + 422/7 = 0. Calculate b.
-1/2, 1/2, 211
Determine m, given that 9*m**3/2 + 331*m**2/2 - 388*m + 78 = 0.
-39, 2/9, 2
Factor 3*h**4/2 - 11*h**3/4 + 5