 -5*u**3 + 15*u**2 + 380*u + 660.
-5*(u - 11)*(u + 2)*(u + 6)
Let 5*h**5/4 + 25*h**4/4 + 15*h**3/2 - 5*h**2/2 - 35*h/4 - 15/4 = 0. What is h?
-3, -1, 1
Determine q so that 196*q**4 - 25396*q**3 + 39552*q**2 - 16400*q + 2048 = 0.
2/7, 1, 128
What is g in -10*g**4 + 1106*g**3 - 28626*g**2 - 109098*g - 38988 = 0?
-3, -2/5, 57
Determine n so that -2*n**5 + 60*n**4 + 64*n**3 - 60*n**2 - 62*n = 0.
-1, 0, 1, 31
Find z, given that z**5/4 - 4*z**4 + 73*z**3/4 - 71*z**2/2 + 31*z - 10 = 0.
1, 2, 10
Solve 3*c**5/2 - 21*c**4/2 + 60*c**2 - 24*c - 72 = 0 for c.
-2, -1, 2, 6
Find n such that -2*n**4/3 - 176*n**3/3 + 914*n**2/3 - 1480*n/3 + 248 = 0.
-93, 1, 2
Factor l**2/3 + 11*l/3 - 26/3.
(l - 2)*(l + 13)/3
Factor -7*o**3/5 + 39*o**2/5 + 232*o/5 - 144/5.
-(o - 9)*(o + 4)*(7*o - 4)/5
Factor -g**3/7 + 19*g**2/7 - 55*g/7 - 75/7.
-(g - 15)*(g - 5)*(g + 1)/7
Suppose -2*c**4/9 - 164*c**3/9 + 240*c**2 - 8896*c/9 + 12032/9 = 0. What is c?
-94, 4
Factor 4*n**2 + 472*n + 13924.
4*(n + 59)**2
Let -3*v**4/4 + 15*v**3/2 + 3*v**2/4 - 15*v/2 = 0. What is v?
-1, 0, 1, 10
Suppose 3*l**2/7 + 4896*l/7 + 1997568/7 = 0. Calculate l.
-816
Factor -3*k**2/8 + 5049*k/8.
-3*k*(k - 1683)/8
What is s in 42*s**5 - 82*s**4 + 48*s**3 - 8*s**2 = 0?
0, 2/7, 2/3, 1
What is h in -h**3/3 + 11*h**2/3 + 56*h/3 + 20 = 0?
-2, 15
Factor 4*v**5 - 32*v**4 + 24*v**3 + 160*v**2 + 100*v.
4*v*(v - 5)**2*(v + 1)**2
Factor -2*j**3/7 - 10*j**2/7 - 12*j/7.
-2*j*(j + 2)*(j + 3)/7
Factor -3*j**2 + 6*j - 3.
-3*(j - 1)**2
Find t such that -2*t**2/7 - 3300*t/7 - 1361250/7 = 0.
-825
Suppose 21*m**5 - 111*m**4 - 180*m**3 + 480*m**2 + 384*m - 144 = 0. Calculate m.
-2, -1, 2/7, 2, 6
Factor 5*p**4 + 250*p**3 + 3765*p**2 + 9500*p - 115520.
5*(p - 4)*(p + 16)*(p + 19)**2
Factor o**5/3 + 8*o**4/3 + 4*o**3 - 2*o**2/3 - 13*o/3 - 2.
(o - 1)*(o + 1)**3*(o + 6)/3
Let 3*q**2 + 342*q - 345 = 0. Calculate q.
-115, 1
Factor 2*a**2/5 - 1448*a/5 + 262088/5.
2*(a - 362)**2/5
Solve h**5/10 + 7*h**4/5 + 27*h**3/10 - 37*h**2/5 - 44*h/5 = 0.
-11, -4, -1, 0, 2
Solve 44*v**2/5 - 578*v/5 + 78/5 = 0 for v.
3/22, 13
Factor -2*d**2/11 - 912*d/11 - 103968/11.
-2*(d + 228)**2/11
Factor 21*k**3/5 + 249*k**2/5 + 984*k/5 + 1296/5.
3*(k + 4)**2*(7*k + 27)/5
Find x, given that 935*x**4 - 150*x**3 = 0.
0, 30/187
Let 2*q**5 + 78*q**4 + 292*q**3 + 428*q**2 + 282*q + 70 = 0. Calculate q.
-35, -1
Factor 5*m**3 - 30*m**2 + 160.
5*(m - 4)**2*(m + 2)
Find s such that 2*s**2/17 - 76*s/17 - 78/17 = 0.
-1, 39
Suppose 2*u**2/7 - 60*u/7 = 0. Calculate u.
0, 30
Determine b so that -927*b**2/7 + 6*b/7 = 0.
0, 2/309
Find z such that 3*z**2/5 + 198*z + 16335 = 0.
-165
Find z such that -4*z**4 + 864*z**3 - 3388*z**2 - 864*z + 3392 = 0.
-1, 1, 4, 212
What is f in f**3 - 8*f**2/3 - 5*f/3 + 2 = 0?
-1, 2/3, 3
Determine l, given that 3*l**3/8 + 105*l**2/8 + 423*l/4 + 162 = 0.
-24, -9, -2
Factor h**5/4 - h**4 + h**3/4 + 5*h**2/2 - h - 2.
(h - 2)**3*(h + 1)**2/4
Factor -3*o**3/7 + 411*o**2/7 + 414*o/7.
-3*o*(o - 138)*(o + 1)/7
Determine i so that -3*i**4 + 69*i**3 - 240*i**2 + 228*i = 0.
0, 2, 19
Determine j so that 2*j**2 + 12*j + 16 = 0.
-4, -2
Let 9*i**4 + 156*i**3 + 627*i**2 + 624*i + 144 = 0. Calculate i.
-12, -4, -1, -1/3
Solve 2*y**4/9 + 4*y**3/9 - 38*y**2/9 - 40*y/9 = 0 for y.
-5, -1, 0, 4
Determine z so that 12*z**2/7 - 3*z = 0.
0, 7/4
What is f in 3*f**2 + 288*f - 6960 = 0?
-116, 20
Factor -w**4 + 16*w**3 - 41*w**2 + 26*w.
-w*(w - 13)*(w - 2)*(w - 1)
Suppose -7*n**4/2 - 755*n**3/6 + 425*n**2/3 + 670*n/3 + 148/3 = 0. What is n?
-37, -2/3, -2/7, 2
Find b such that 6*b**2/5 - 116*b/5 + 208/5 = 0.
2, 52/3
Let -3*o**5/4 + 171*o**4/4 - 906*o**3 + 8544*o**2 - 32256*o + 24576 = 0. Calculate o.
1, 8, 16
Determine q, given that 15*q**3 - 35*q**2 - 280*q + 400 = 0.
-4, 4/3, 5
Factor 2*h**2/3 + 22*h/3 + 16.
2*(h + 3)*(h + 8)/3
Find p such that 50*p**4/3 + 310*p**3 + 1554*p**2 + 2970*p + 1944 = 0.
-12, -3, -9/5
Factor -2*h**2 - 184*h - 2880.
-2*(h + 20)*(h + 72)
Factor 5*p**4 - 450*p**3 + 9645*p**2 + 22540*p - 31740.
5*(p - 46)**2*(p - 1)*(p + 3)
Suppose -4*s**3/3 - 16*s**2 - 116*s/3 + 56 = 0. Calculate s.
-7, -6, 1
Find y such that 2*y**5/3 + 5*y**4 + 13*y**3/3 - 12*y**2 - 12*y = 0.
-6, -2, -1, 0, 3/2
Factor 2*c**4/9 + 10*c**3/3 - 2*c**2/9 - 10*c/3.
2*c*(c - 1)*(c + 1)*(c + 15)/9
Find o such that o**2/2 + 248*o + 30752 = 0.
-248
Let -4*h**4 - 4*h**3 + 120*h**2 + 288*h = 0. What is h?
-4, -3, 0, 6
Determine r, given that -2*r**5/3 + 4*r**4/3 - 4*r**2/3 + 2*r/3 = 0.
-1, 0, 1
Factor 2*g**5/9 - 14*g**4/9 + 4*g**3 - 40*g**2/9 + 16*g/9.
2*g*(g - 2)**3*(g - 1)/9
Let -2*g**3 + 16*g**2 + 22*g - 36 = 0. Calculate g.
-2, 1, 9
Determine o, given that 4*o**3 + 368*o**2 - 1132*o + 760 = 0.
-95, 1, 2
Suppose 5*n**2 - 20*n = 0. Calculate n.
0, 4
Factor 405*m**3 + 28935*m**2 + 12800*m + 1420.
5*(m + 71)*(9*m + 2)**2
Factor 3*r**4/8 + 27*r**3/4 - 57*r**2/8.
3*r**2*(r - 1)*(r + 19)/8
Factor -2*y**2 + 210*y - 4000.
-2*(y - 80)*(y - 25)
Determine s so that 2*s**3/3 + 20*s**2/3 - 26*s = 0.
-13, 0, 3
Factor 4*u**3/5 - 152*u**2/5 - 36*u + 936/5.
4*(u - 39)*(u - 2)*(u + 3)/5
Factor -4*p**2 - 260*p - 504.
-4*(p + 2)*(p + 63)
Let 50*k**4 + 3040*k**3 - 10392*k**2 - 9760*k - 2048 = 0. What is k?
-64, -2/5, 4
Factor 4*d**5/3 + 4*d**4 + 4*d**3 + 4*d**2/3.
4*d**2*(d + 1)**3/3
Find q such that -3*q**5/5 + 57*q**4/5 - 318*q**3/5 + 594*q**2/5 + 81*q/5 - 891/5 = 0.
-1, 3, 11
Factor 2*n**5/13 - 160*n**4/13 + 240*n**3 - 25920*n**2/13 + 99360*n/13 - 145152/13.
2*(n - 56)*(n - 6)**4/13
Solve 2*o**5/7 + 10*o**4/7 - 10*o**3/7 - 50*o**2/7 + 80*o/7 - 32/7 = 0 for o.
-4, 1
Solve -3*p**3 - 4158*p**2 - 1920996*p - 295833384 = 0 for p.
-462
Factor 2*d**2/11 + 18060*d/11 + 40770450/11.
2*(d + 4515)**2/11
Determine q so that 3*q**5 + 62*q**4 + 312*q**3 + 162*q**2 - 91*q = 0.
-13, -7, -1, 0, 1/3
Find f such that -4*f**5 + 412*f**4 + 888*f**3 - 5096*f**2 + 5900*f - 2100 = 0.
-5, 1, 105
Determine u so that 2*u**2 + 1052*u + 1050 = 0.
-525, -1
Solve 3*w**3/5 - 111*w**2/5 + 102*w/5 + 216/5 = 0.
-1, 2, 36
Factor 2*i**2/3 - 1816*i/3 + 412232/3.
2*(i - 454)**2/3
Let 57*c**3 - 954*c**2/7 + 324*c/7 - 24/7 = 0. What is c?
2/19, 2/7, 2
Let -d**4/2 + 87*d**3/2 - 2523*d**2/2 + 24389*d/2 = 0. What is d?
0, 29
Factor 3*b**5/5 - 3*b**4/5.
3*b**4*(b - 1)/5
Factor 46*b**3 - 604*b**2 + 1734*b - 216.
2*(b - 9)*(b - 4)*(23*b - 3)
Factor -5*p**4 - 25*p**3 + 280*p**2 + 1740*p + 1440.
-5*(p - 8)*(p + 1)*(p + 6)**2
Determine p so that 2*p**2 - 106*p - 108 = 0.
-1, 54
Factor -3*z**3 + 42*z**2 - 171*z + 216.
-3*(z - 8)*(z - 3)**2
Factor 5*h**3 + 55*h**2 - 465*h + 765.
5*(h - 3)**2*(h + 17)
What is f in 2*f**2/3 + 1547*f/6 - 129/2 = 0?
-387, 1/4
Factor 3*s**4 + 183*s**3 + 354*s**2.
3*s**2*(s + 2)*(s + 59)
Factor -s**4 - 31*s**3 - 58*s**2.
-s**2*(s + 2)*(s + 29)
Determine p, given that 5*p**4 + 15*p**3 - 170*p**2 + 240*p = 0.
-8, 0, 2, 3
Factor 3*q**2/2 - 9*q - 21/2.
3*(q - 7)*(q + 1)/2
Suppose 2*b**4/11 + 20*b**3/11 + 6*b**2/11 - 188*b/11 + 160/11 = 0. What is b?
-8, -5, 1, 2
Find t such that 4*t**3 - 100*t**2 + 656*t - 560 = 0.
1, 10, 14
Solve -2*t**5/5 - 66*t**4/5 - 244*t**3/5 - 356*t**2/5 - 234*t/5 - 58/5 = 0 for t.
-29, -1
Factor 13*p**2 + 28*p + 4.
(p + 2)*(13*p + 2)
Determine m, given that 4*m**3 + 56*m**2 - 204*m = 0.
-17, 0, 3
Suppose 20*u**5/3 - 20*u**4 + 5*u**3/3 + 20*u**2 + 20*u/3 = 0. Calculate u.
-1/2, 0, 2
Suppose -n**3/3 - 1051*n**2 - 1104601*n - 1160935651/3 = 0. Calculate n.
-1051
Factor -s**4/2 - 2*s**3 + 3*s**2 + 2*s - 5/2.
-(s - 1)**2*(s + 1)*(s + 5)/2
Factor -3*p**2/4 - 91*p - 121/4.
-(p + 121)*(3*p + 1)/4
Let -10*t**3/9 + 32*t**2/3 - 170*t/9 - 28/3 = 0. Calculate t.
-2/5, 3, 7
Find g such that 6*g**3 + 3*g**2 - 453*g + 1170 = 0.
-10, 3, 13/2
Find w, given that 3*w**4/5 + 27*w**3/5 + 18*w**2/5 - 168*w/5 = 0.
-7, -4, 0, 2
Factor 69*x**2/8 + 135*x/4 - 3.
3*(x + 4)*(23*x - 2)/8
Factor 2*w**2/7 + 832*w/7 + 86528/7.
2*(w + 208)**2/7
Solve 5*w**4 - 170*w**3 + 1440*w**2 + 170*w - 1445 = 0.
-1, 1, 17
Factor 12*y**2 - 69*y + 57.
3*(y - 1)*(4*y - 19)
Factor 2*d**3/5 + 2952*d**2/5 + 1452384*d/5 + 238190976/5.
2*(d + 492)**3/5
Factor -2*l**2 - 138*l + 140.
-2*(l - 1)*(l + 70)
Factor 39*s**4/8 + 33*s**3/4 + 27*s**2/8.
3*s**2*(s + 1)*(13*s + 9)/8
What is c in c**3 + 5*c**2 + 7*c + 3 = 0?
-3, -1
Factor 2*g**3/7 + 2*g**2/7 - 2*g/7 - 2/7.
2*(g -