*3 - 3130*z**2 = 0 for z.
-626, 0
Find n, given that n**5/2 - 5*n**4/2 - 3*n**3 + 16*n**2 + 16*n = 0.
-2, -1, 0, 4
Suppose -m**3/2 - m**2/2 + 5*m/2 - 3/2 = 0. What is m?
-3, 1
Let x**5/4 - 225*x**4/4 + 447*x**3/4 - 223*x**2/4 = 0. What is x?
0, 1, 223
Solve -4*v**3 + 40*v**2 + 44*v = 0.
-1, 0, 11
Factor 2*b**3/15 + 52*b**2/15 + 142*b/15 + 92/15.
2*(b + 1)*(b + 2)*(b + 23)/15
Factor s**2 - 838*s + 175561.
(s - 419)**2
Factor -k**2/7 - 38*k/7 - 361/7.
-(k + 19)**2/7
Let 4*y**2 - 108*y - 112 = 0. What is y?
-1, 28
Factor o**3/2 - 4*o**2 + 19*o/2 - 6.
(o - 4)*(o - 3)*(o - 1)/2
Solve h**2/6 + 9*h/2 + 25/3 = 0 for h.
-25, -2
Determine y so that -3*y**3/4 - 15*y**2/2 + 81*y/4 + 27 = 0.
-12, -1, 3
Determine p, given that -p**3 + 9*p**2 + 106*p - 240 = 0.
-8, 2, 15
Solve 20*d**3 + 4080*d**2 + 206025*d - 210125 = 0 for d.
-205/2, 1
Determine p so that 5*p**3 + 85*p**2 + 480*p + 900 = 0.
-6, -5
Factor 3*h**4 + 6456*h**3 + 4633254*h**2 + 1110432240*h + 1105805439.
3*(h + 1)*(h + 717)**3
Determine u, given that 2*u**4/9 - 8*u**3 + 128*u**2/3 - 736*u/9 + 160/3 = 0.
2, 30
Determine b so that 27*b**5 - 9*b**4 - 717*b**3 - 1119*b**2 - 510*b - 72 = 0.
-4, -1, -1/3, 6
Solve -2*i**5 + 26*i**4 + 516*i**3 + 2060*i**2 + 1150*i - 3750 = 0.
-5, -3, 1, 25
Factor 3*k**3 - 90*k**2 + 564*k + 1512.
3*(k - 18)*(k - 14)*(k + 2)
Factor 5*l**2 - 560*l + 15680.
5*(l - 56)**2
What is p in 12*p**3/5 - 2356*p**2/5 + 3124*p/5 - 156 = 0?
1/3, 1, 195
Factor -3*d**4/5 + 288*d**3/5 + 291*d**2/5.
-3*d**2*(d - 97)*(d + 1)/5
Suppose 2*h**2 - 156*h + 3024 = 0. Calculate h.
36, 42
Let 6*z**2/7 - 60*z/7 = 0. What is z?
0, 10
Solve 2*x**3 + 54*x**2 + 252*x = 0.
-21, -6, 0
Factor 2*d**3/5 + 14*d**2 - 76*d/5 - 144/5.
2*(d - 2)*(d + 1)*(d + 36)/5
Find a, given that -3*a**2 + 537*a + 1638 = 0.
-3, 182
Factor 3*h**2 + 714*h - 717.
3*(h - 1)*(h + 239)
Factor -d**2 + 41*d - 400.
-(d - 25)*(d - 16)
Solve j**3/2 + 15*j**2/2 + 18*j = 0 for j.
-12, -3, 0
Factor 3*m**2/2 - 45*m/4 + 81/4.
3*(m - 3)*(2*m - 9)/4
Let 12*b**5 + 69*b**4 + 126*b**3 + 60*b**2 - 24*b = 0. Calculate b.
-2, 0, 1/4
Find g such that -2*g**4/7 + 4*g**3/7 + 10*g**2/7 - 12*g/7 = 0.
-2, 0, 1, 3
Factor i**2/8 - 15*i + 450.
(i - 60)**2/8
Suppose -3*b**3 + 762*b**2 = 0. What is b?
0, 254
Factor -u**3/7 + 501*u**2/7 + 1516*u/7 - 288.
-(u - 504)*(u - 1)*(u + 4)/7
Solve 12*d**5 - 16*d**4 - 188*d**3 + 112*d**2 + 560*d - 192 = 0.
-3, -2, 1/3, 2, 4
Suppose 5*p**2 - 60*p = 0. What is p?
0, 12
Factor 16*z**5/7 - 66*z**4/7 + 104*z**3/7 - 76*z**2/7 + 24*z/7 - 2/7.
2*(z - 1)**4*(8*z - 1)/7
Solve -4*h**3/7 - 196*h**2 - 1368*h/7 = 0.
-342, -1, 0
What is l in -6*l**4 - 26*l**3 - 36*l**2 - 16*l = 0?
-2, -4/3, -1, 0
Suppose 2*v**4 + 1652*v**3 + 457032*v**2 + 42943472*v + 164566592 = 0. What is v?
-274, -4
Solve -2*x**3/19 - 36*x**2/19 + 80*x/19 = 0 for x.
-20, 0, 2
Suppose -4*v**4 + 60*v**3 - 192*v**2 + 176*v = 0. Calculate v.
0, 2, 11
Suppose 5*r**5 + 25*r**4 + 45*r**3 + 35*r**2 + 10*r = 0. What is r?
-2, -1, 0
Factor p**2/2 + 292*p + 42632.
(p + 292)**2/2
Factor 2*o**2/9 + 98*o/9.
2*o*(o + 49)/9
Determine g, given that g**4 + 2234*g**3/3 + 138880*g**2 + 92256*g = 0.
-372, -2/3, 0
Factor 3*b**5 + 30*b**4 + 24*b**3 - 480*b**2 - 1152*b.
3*b*(b - 4)*(b + 4)**2*(b + 6)
Determine s, given that -28*s**4/19 - 946*s**3/19 - 3978*s**2/19 - 2684*s/19 - 464/19 = 0.
-29, -4, -1/2, -2/7
Solve -g**2/3 - 19*g/3 + 14 = 0.
-21, 2
Determine h, given that -h**3/6 + 2*h/3 = 0.
-2, 0, 2
Factor 2*x**2/7 + 226*x/7 - 1936/7.
2*(x - 8)*(x + 121)/7
Factor -c**2/5 - 546*c/5 - 74529/5.
-(c + 273)**2/5
What is d in 2*d**5/3 + 2*d**4 - 2*d**3/3 - 2*d**2 = 0?
-3, -1, 0, 1
Factor -4*o**2 - 24*o - 36.
-4*(o + 3)**2
Factor -2*w**4/11 + 46*w**3/11 - 86*w**2/11 + 42*w/11.
-2*w*(w - 21)*(w - 1)**2/11
Solve 10*c**2/11 - 92*c/11 + 96/11 = 0.
6/5, 8
Let -7*a**5/2 + 37*a**4/2 - 31*a**3/2 - 57*a**2/2 + 9*a = 0. What is a?
-1, 0, 2/7, 3
Solve -38*f**5 - 764*f**4/5 - 776*f**3/5 - 16*f**2/5 = 0.
-2, -2/95, 0
Solve 49*b**3 - 582*b**2 - 1444*b - 168 = 0 for b.
-2, -6/49, 14
Factor 33*w**2/5 - 282*w/5 + 504/5.
3*(w - 6)*(11*w - 28)/5
Factor b**2 - 522*b - 523.
(b - 523)*(b + 1)
Factor 9*y**2 + 138*y/5 + 9/5.
3*(y + 3)*(15*y + 1)/5
Factor p**3/2 + 4*p**2 - 105*p/2.
p*(p - 7)*(p + 15)/2
Solve -4*g**4 - 16*g**3 - 20*g**2 - 8*g = 0.
-2, -1, 0
What is g in 2*g**2/9 - 1220*g/9 - 1222/9 = 0?
-1, 611
Solve -125*q**5 + 1975*q**4 - 1245*q**3 - 3735*q**2 - 1350*q = 0.
-3/5, 0, 2, 15
Factor 568178*z**2/17 + 12792*z/17 + 72/17.
2*(533*z + 6)**2/17
Solve -5*y**4 + 260*y**3 + 1695*y**2 + 2590*y + 1160 = 0 for y.
-4, -1, 58
Factor 2450*c**2/9 - 280*c/9 + 8/9.
2*(35*c - 2)**2/9
Solve 2*z**3 - 674*z**2 + 1342*z - 670 = 0.
1, 335
Solve -5*v**2/3 + 565*v/3 - 560/3 = 0.
1, 112
Factor 3*g**3/2 + 27*g**2/2 + 45*g/2 - 75/2.
3*(g - 1)*(g + 5)**2/2
Factor -p**4/3 + 35*p**3/3 + 37*p**2 + 113*p/3 + 38/3.
-(p - 38)*(p + 1)**3/3
Determine r, given that -r**4 + r**3 + 26*r**2 + 24*r = 0.
-4, -1, 0, 6
Factor -h**2 + 50*h + 1139.
-(h - 67)*(h + 17)
Find o such that -3*o**5 + 537*o**3 - 2358*o**2 - 3936*o + 5760 = 0.
-15, -2, 1, 8
Find u, given that 3*u**2 + 75*u - 78 = 0.
-26, 1
Factor -162867*m**2 - 2796*m - 12.
-3*(233*m + 2)**2
Factor 9*p**4 - 30*p**3 - 24*p**2.
3*p**2*(p - 4)*(3*p + 2)
Let -3*f**5 + 3*f**4 + 3*f**3 - 3*f**2 = 0. Calculate f.
-1, 0, 1
Solve -15*u**3/8 + 27*u**2/2 - 111*u/8 + 9/4 = 0 for u.
1/5, 1, 6
Factor -4*w**2 - 836*w - 832.
-4*(w + 1)*(w + 208)
Factor j**2 + 10*j - 39.
(j - 3)*(j + 13)
Suppose -c**3 - 662*c**2 - 1321*c - 660 = 0. What is c?
-660, -1
Factor r**2 + 2402*r + 1442401.
(r + 1201)**2
Factor 3*m**2 - 1260*m + 132300.
3*(m - 210)**2
Factor v**4/8 - v**3 + 15*v**2/8 + v - 2.
(v - 4)**2*(v - 1)*(v + 1)/8
Determine i so that -2*i**2/9 - 26*i/9 + 28/9 = 0.
-14, 1
Solve 3*w**4 - 72*w**3 + 498*w**2 - 792*w + 363 = 0.
1, 11
Factor -3*i**3 - 264*i**2 - 765*i.
-3*i*(i + 3)*(i + 85)
Suppose -3*w**3 - 4647*w**2 + 4650*w = 0. Calculate w.
-1550, 0, 1
Factor z**5 + 14*z**4 + 33*z**3 - 112*z**2 + 64*z.
z*(z - 1)**2*(z + 8)**2
Factor 2*g**5 + 18*g**4 + 48*g**3 + 40*g**2.
2*g**2*(g + 2)**2*(g + 5)
Determine y so that 2*y**4/7 + 6*y**3 + 276*y**2/7 + 664*y/7 + 528/7 = 0.
-11, -6, -2
Solve 3*g**3/2 + 60*g**2 - 1839*g/2 + 858 = 0.
-52, 1, 11
Factor -2*n**3 - 200*n**2 - 4794*n + 10404.
-2*(n - 2)*(n + 51)**2
Let -21*k**5/8 + 3*k**4/4 + 1029*k**3/2 - 147*k**2 = 0. Calculate k.
-14, 0, 2/7, 14
Solve n**2 + 111*n/4 - 7 = 0.
-28, 1/4
Determine t so that 5*t**4/3 + 13*t**3 - 27*t**2 - 259*t/3 - 48 = 0.
-9, -1, 16/5
Suppose 10*s**3 + 85*s**2 - 290*s - 165 = 0. What is s?
-11, -1/2, 3
Determine y, given that -3*y**2 + 12 = 0.
-2, 2
What is u in u**2/6 - u/2 - 3 = 0?
-3, 6
Solve 11*h**3/3 + 82*h**2/3 + 35*h/3 = 0 for h.
-7, -5/11, 0
Factor x**2/3 - 101*x/3 + 98.
(x - 98)*(x - 3)/3
Let 2*y**3 - 41*y**2 + 55*y + 38 = 0. What is y?
-1/2, 2, 19
What is i in 4*i**4 - 12*i**3 - 176*i**2 + 48*i + 640 = 0?
-5, -2, 2, 8
Factor -t**5 - 6*t**4 + 7*t**3.
-t**3*(t - 1)*(t + 7)
Find g, given that g**4/4 - 37*g**3/4 + 87*g**2 - 316*g + 400 = 0.
4, 25
Solve -4*z**4 + 12*z**3 + 56*z**2 - 48*z - 160 = 0 for z.
-2, 2, 5
Let j**2 - 104*j + 2704 = 0. Calculate j.
52
Factor a**4/5 - a**3/5 - a**2 - 3*a/5.
a*(a - 3)*(a + 1)**2/5
Factor -l**2 - 776*l.
-l*(l + 776)
Solve 2*u**3/9 + 74*u**2/9 - 8*u/9 - 296/9 = 0.
-37, -2, 2
Find z such that -3*z**5/4 + 25*z**4/8 + 3*z**3/4 - 8*z**2 - 6*z - 9/8 = 0.
-1, -1/2, -1/3, 3
Factor -3*o**2/2 - 411*o/2 - 603.
-3*(o + 3)*(o + 134)/2
Factor 3*q**3 - 198*q**2 + 2817*q - 2622.
3*(q - 46)*(q - 19)*(q - 1)
Suppose 2*q**2/7 - 60*q/7 - 62/7 = 0. Calculate q.
-1, 31
Factor 5*w**3 + 5*w**2 - 85*w + 75.
5*(w - 3)*(w - 1)*(w + 5)
What is v in -6*v**5/17 + 14*v**4/17 + 38*v**3/17 - 62*v**2/17 - 56*v/17 + 24/17 = 0?
-2, -1, 1/3, 2, 3
Let 2*b**5/5 + 2*b**4/5 - 108*b**3/5 + 292*b**2/5 - 278*b/5 + 18 = 0. Calculate b.
-9, 1, 5
Factor -2*u**2/9 + 122*u/9 - 104.
-2*(u - 52)*(u - 9)/9
Find o such that 4*o**5 + 8*o**4 - 100*o**3 - 440*o**2 - 624*o - 288 = 0.
-3, -2, -1, 6
Factor q**3/2 - 43*q**2/6 - 13*q - 16/3.
(q - 16)*(q + 1)*(3*q + 2)/6
What is w in -10*w**4/11 - 1146*w**3/11 - 1800*w**2/11 + 904*w/11 = 0?
-113, -2, 0, 2/5
Let -l**3/5 - 29*l**2/5 + 336*l/5 + 10944/5 = 0. Calculate l.
-24, 19
Factor 15*x**5 + 5*x**4 - 10*x**3.