)
Determine l so that l**3/3 + 60*l**2 + 2759*l + 15842/3 = 0.
-89, -2
Find p such that -p**5/4 - 40*p**4 - 159*p**3/4 = 0.
-159, -1, 0
Factor -3*l**5/4 - 60*l**4 - 1074*l**3 + 5040*l**2 - 5292*l.
-3*l*(l - 2)**2*(l + 42)**2/4
Factor -5*i**5 - 10*i**4 + 15*i**3.
-5*i**3*(i - 1)*(i + 3)
Determine l, given that l**5/4 - 3*l**4 + 35*l**3/4 + 3*l**2 - 9*l = 0.
-1, 0, 1, 6
Let t**2/4 - 14*t + 27 = 0. What is t?
2, 54
Let -5*i**5/3 - 8*i**4/3 + 4*i**3/3 + 10*i**2/3 + i/3 - 2/3 = 0. Calculate i.
-1, 2/5, 1
Let -2*h**2/11 - 376*h/11 - 1472/11 = 0. Calculate h.
-184, -4
Factor 3*f**4 - 1203*f**3 - 14724*f**2 - 59280*f - 79296.
3*(f - 413)*(f + 4)**3
Factor -18*y**3/13 - 42*y**2/13 - 32*y/13 - 8/13.
-2*(y + 1)*(3*y + 2)**2/13
Factor -2*j**3 + 72*j**2 - 670*j + 600.
-2*(j - 20)*(j - 15)*(j - 1)
Let -s**2 - s + 2 = 0. Calculate s.
-2, 1
Determine b, given that 14*b**5/13 - 50*b**4/13 + 24*b**3/13 = 0.
0, 4/7, 3
Factor 2*w**4 + 30*w**3 - 928*w**2 + 4992*w - 4096.
2*(w - 8)**2*(w - 1)*(w + 32)
Solve -4*z**2 + 36*z = 0 for z.
0, 9
Factor 3*r**3/5 + 3*r**2 + 12*r/5.
3*r*(r + 1)*(r + 4)/5
Let -3*i**5/5 - 17*i**4/5 + 8*i**3/5 + 12*i**2/5 = 0. Calculate i.
-6, -2/3, 0, 1
Suppose 2*m**3 - 18*m**2 + 48*m - 32 = 0. What is m?
1, 4
Factor 5*c**3 + 30*c**2 - 5*c - 150.
5*(c - 2)*(c + 3)*(c + 5)
Factor 2*b**2/15 - 1208*b/5 + 547224/5.
2*(b - 906)**2/15
Find a such that -3*a**4/5 + 63*a**3/5 - 90*a**2 + 1248*a/5 - 1152/5 = 0.
2, 3, 8
Factor c**2 - 120*c - 121.
(c - 121)*(c + 1)
Factor -6*r**3/11 - 78*r**2/11 - 60*r/11 + 144/11.
-6*(r - 1)*(r + 2)*(r + 12)/11
Find c such that 45*c**4 - 240*c**3 - 895*c**2 - 510*c - 80 = 0.
-2, -1/3, 8
Factor -a**2/3 + 35*a/3 - 34/3.
-(a - 34)*(a - 1)/3
Factor 2*i**3/7 - 64*i**2/7.
2*i**2*(i - 32)/7
Find x, given that 3*x**2/4 + 21*x + 135 = 0.
-18, -10
Factor -6*l**3 - 423*l**2 - 2127*l + 1170.
-3*(l + 6)*(l + 65)*(2*l - 1)
Factor -2*z**2/11 + 1544*z/11 - 297992/11.
-2*(z - 386)**2/11
Factor -20*a**3 + 13175*a**2 + 16495*a + 3300.
-5*(a - 660)*(a + 1)*(4*a + 1)
Factor t**4/3 + 13*t**3/3 + 20*t**2 + 116*t/3 + 80/3.
(t + 2)**2*(t + 4)*(t + 5)/3
Solve 2*s**4 + 4*s**3 - 8*s**2 - 16*s = 0.
-2, 0, 2
Suppose 12*z**4/7 + 108*z**3/7 + 303*z**2/7 + 342*z/7 + 135/7 = 0. Calculate z.
-5, -3/2, -1
Determine k so that -198*k**5/7 - 564*k**4 - 28272*k**3/7 - 86976*k**2/7 - 96000*k/7 + 6144/7 = 0.
-8, -4, 2/33
Let d**2/4 - 33*d + 1089 = 0. Calculate d.
66
Determine n, given that -2*n**2 + 32*n + 34 = 0.
-1, 17
Let 6*b**3 - 39*b**2 + 81*b - 54 = 0. Calculate b.
3/2, 2, 3
Suppose -2*w**5 + 24*w**4 - 70*w**3 - 24*w**2 + 72*w = 0. Calculate w.
-1, 0, 1, 6
Let -2*a**4/11 + 4*a**3/11 + 98*a**2/11 - 4*a/11 - 96/11 = 0. What is a?
-6, -1, 1, 8
Determine d so that -3*d**5/7 + 144*d**4/7 - 285*d**3 + 6474*d**2/7 - 7524*d/7 + 2904/7 = 0.
1, 2, 22
Factor 4*j**3 + 88*j**2 - 416*j.
4*j*(j - 4)*(j + 26)
Factor -p**3 - 198*p**2 - 13068*p - 287496.
-(p + 66)**3
Suppose -2*z**2 - 2502*z/7 + 716/7 = 0. What is z?
-179, 2/7
What is p in -20*p**3 + 31*p**2/2 + 9*p/2 = 0?
-9/40, 0, 1
Suppose 2*p**4/13 + 6*p**3/13 - 30*p**2/13 + 34*p/13 - 12/13 = 0. What is p?
-6, 1
Factor d**4 - 68*d**3/7 + 127*d**2/7 + 6*d.
d*(d - 7)*(d - 3)*(7*d + 2)/7
Let -9*h**5 + 15*h**4 + 3*h**3 - 15*h**2 + 6*h = 0. Calculate h.
-1, 0, 2/3, 1
Factor 3*n**4 - 92*n**3 + 569*n**2 - 904*n - 368.
(n - 23)*(n - 4)**2*(3*n + 1)
Factor -4*r**4 - 56*r**3 + 220*r**2 + 272*r.
-4*r*(r - 4)*(r + 1)*(r + 17)
Solve 39*z**5 - 423*z**4 + 987*z**3 - 813*z**2 + 162*z + 48 = 0.
-2/13, 1, 8
Suppose -3*d**2 + 84*d - 156 = 0. Calculate d.
2, 26
Let -2*v**2 - 510*v + 3132 = 0. Calculate v.
-261, 6
Factor -4*t**5 - 184*t**4 - 1936*t**3 + 13832*t**2 + 180500*t - 768208.
-4*(t - 7)*(t - 4)*(t + 19)**3
Factor -5*t**2 + 60*t - 55.
-5*(t - 11)*(t - 1)
What is t in -5*t**2 + 625*t - 620 = 0?
1, 124
Determine b, given that 4*b**3 - 392*b**2 + 9604*b = 0.
0, 49
Let -m**4 - 13*m**3 - 41*m**2 - 47*m - 18 = 0. Calculate m.
-9, -2, -1
Suppose -8*v**2 - 694*v + 174 = 0. Calculate v.
-87, 1/4
Suppose 2*n**4/19 - 24*n**3/19 + 100*n**2/19 - 168*n/19 + 90/19 = 0. Calculate n.
1, 3, 5
What is w in 4*w**4 + 8*w**3 - 20*w**2 - 24*w = 0?
-3, -1, 0, 2
Factor 5*i**3 - 36*i**2 + 48*i + 64.
(i - 4)**2*(5*i + 4)
Factor s**3/2 - 23*s**2/2 + 66*s - 90.
(s - 15)*(s - 6)*(s - 2)/2
Suppose -2*y**4/5 + 46*y**3 + 2*y**2/5 - 46*y = 0. What is y?
-1, 0, 1, 115
Factor t**3 - 3*t + 2.
(t - 1)**2*(t + 2)
Factor 2*b**3/21 + 38*b**2/21 - 82*b/21 + 2.
2*(b - 1)**2*(b + 21)/21
Suppose -2*o**3 - 430*o**2 - 23744*o - 67416 = 0. Calculate o.
-106, -3
Factor 2*a**3/17 - 352*a**2/17 + 160*a - 5376/17.
2*(a - 168)*(a - 4)**2/17
Factor 4*i**2 - 40*i - 96.
4*(i - 12)*(i + 2)
Factor -2*z**4/19 + 480*z**3/19 - 27824*z**2/19 - 117120*z/19 - 119072/19.
-2*(z - 122)**2*(z + 2)**2/19
Find q, given that -3*q**3/7 + 43*q**2/7 - 53*q/7 + 13/7 = 0.
1/3, 1, 13
What is k in -4*k**5/3 - 100*k**4/3 - 188*k**3/3 - 92*k**2/3 = 0?
-23, -1, 0
Solve -4*x**4 - 16*x**3 + 12*x**2 + 56*x + 32 = 0.
-4, -1, 2
Factor -3*q**2/4 + 465*q/4 + 117.
-3*(q - 156)*(q + 1)/4
Find w, given that 12*w**3 + 5036*w**2 + 8368*w + 3344 = 0.
-418, -1, -2/3
Determine l so that -2*l**4/11 - 776*l**3/11 - 76808*l**2/11 - 297984*l/11 - 294912/11 = 0.
-192, -2
What is w in 4*w**2/7 - 1112*w/7 - 1116/7 = 0?
-1, 279
Suppose -3*u**2 + 84*u - 81 = 0. Calculate u.
1, 27
Determine r so that -8*r**3/7 - 1740*r**2/7 - 126150*r/7 - 3048625/7 = 0.
-145/2
Factor -5*p**5 - 5*p**4 + 60*p**3.
-5*p**3*(p - 3)*(p + 4)
Factor -3*y**3/8 - 21*y**2/4 - 135*y/8.
-3*y*(y + 5)*(y + 9)/8
Find t, given that 25*t**5 + 15*t**4 - 75*t**3 + 5*t**2 + 30*t = 0.
-2, -3/5, 0, 1
Factor -3*z**2 + 10677*z + 10680.
-3*(z - 3560)*(z + 1)
What is l in -l**2 - 608*l - 92416 = 0?
-304
Find m, given that 2*m**2 + 26*m - 228 = 0.
-19, 6
Solve 2*c**4/5 + 6*c**3/5 - 2*c**2/5 - 6*c/5 = 0 for c.
-3, -1, 0, 1
Determine j, given that 2*j**5 + 6*j**4 + 4*j**3 = 0.
-2, -1, 0
Factor -2*b**2/7 - 1828*b/7 - 417698/7.
-2*(b + 457)**2/7
Suppose 2*f**5 - 18*f**4 - 124*f**3 - 216*f**2 - 112*f = 0. Calculate f.
-2, -1, 0, 14
Let -g**4 + 157*g**3 - 768*g**2 + 1220*g - 608 = 0. Calculate g.
1, 2, 152
What is y in -2*y**3/17 - 16*y**2/17 - 14*y/17 = 0?
-7, -1, 0
Factor -4*d**5 - 4*d**4 + 296*d**3 - 1368*d**2 + 2268*d - 1188.
-4*(d - 3)**3*(d - 1)*(d + 11)
Solve -3*m**5/5 - 12*m**4/5 + 69*m**3/5 + 162*m**2/5 - 324*m/5 - 648/5 = 0 for m.
-6, -2, 3
Factor 4*g**4 + 12*g**3.
4*g**3*(g + 3)
Suppose -2*y**2/17 + 80*y/17 = 0. Calculate y.
0, 40
Let -5*o**3 + 7695*o**2 + 15405*o + 7705 = 0. What is o?
-1, 1541
Let 2*d**4 - 36*d**3 + 14*d**2 + 324*d + 272 = 0. Calculate d.
-2, -1, 4, 17
Suppose 4*i**4 - 200*i**3 + 196*i**2 = 0. Calculate i.
0, 1, 49
Determine s so that -2*s**5/5 - 4*s**4 - 12*s**3/5 + 176*s**2/5 - 226*s/5 + 84/5 = 0.
-7, -6, 1
Find m, given that -15*m**2 - 2485*m - 1650 = 0.
-165, -2/3
Suppose -5*k**3 + 415*k**2 - 815*k + 405 = 0. What is k?
1, 81
Solve 20*x**5 + 250*x**4 - 2155*x**3/4 - 5515*x**2 - 10565*x/4 - 325 = 0.
-13, -4, -1/4, 5
Let -108*y**4/7 - 436*y**3/7 - 64*y**2 - 16*y/7 = 0. Calculate y.
-2, -1/27, 0
Factor 2*w**4/5 - 24*w**3/5 + 12*w**2 - 56*w/5 + 18/5.
2*(w - 9)*(w - 1)**3/5
Factor 8*m**2/11 - 254*m/11 - 64/11.
2*(m - 32)*(4*m + 1)/11
Determine s, given that -2*s**5 + 12*s**4 + 6*s**3 - 112*s**2 + 24*s + 288 = 0.
-2, 3, 4
Factor 12*a**2 - 69*a - 510.
3*(a - 10)*(4*a + 17)
Suppose -4*g**4 - 60*g**3 - 304*g**2 - 624*g - 448 = 0. What is g?
-7, -4, -2
Determine d so that 3*d**3/4 - 6*d**2 - 111*d/4 + 33 = 0.
-4, 1, 11
Let -2*n**5/3 - 8*n**4/3 - 2*n**3/3 + 28*n**2/3 + 40*n/3 + 16/3 = 0. What is n?
-2, -1, 2
Factor -4*d**3/3 + 18*d**2 - 26*d/3.
-2*d*(d - 13)*(2*d - 1)/3
Solve 5*j**4 + 102*j**3 + 135*j**2 + 38*j = 0 for j.
-19, -1, -2/5, 0
Find t such that -2*t**2/5 + 7276*t/5 - 7274/5 = 0.
1, 3637
Let -i**3/6 - 7*i**2/6 - i = 0. Calculate i.
-6, -1, 0
Factor 4*s**2/7 + 1004*s/7 - 144.
4*(s - 1)*(s + 252)/7
Find o such that 455*o**5 - 330*o**4 - 610*o**3 + 360*o**2 + 155*o - 30 = 0.
-1, -3/7, 2/13, 1
Find p such that 14*p**4 + 114*p**3 + 240*p**2 + 32*p = 0.
-4, -1/7, 0
Find t such that t**5/3 - 4*t**4 - 5*t**3/3 + 20*t**2 + 4*t/3 - 16 = 0.
-2, -1, 1, 2, 12
Factor -r**4/3 + 28*r**3/3 - 25*r**2/3 - 18*r.
-r*(r - 27)*(r - 2)*(r + 1)/3
Factor -2*p**3/5 - 52*p**2/5