a**4 - 61*a**3/2 + 35*a**2 + 42*a + 4 = 0.
-1, -2/19, 2
Find g, given that -2*g**2/7 + 30*g/7 - 4 = 0.
1, 14
What is i in 4*i**2 - 864*i - 2628 = 0?
-3, 219
What is n in 3442951*n**3 + 273612*n**2 + 7248*n + 64 = 0?
-4/151
Factor -4*y**2 - 12*y - 8.
-4*(y + 1)*(y + 2)
Factor 3*a**4 + 30*a**3 - 132*a**2 - 1278*a - 2079.
3*(a - 7)*(a + 3)**2*(a + 11)
Factor r**2/8 - r/4.
r*(r - 2)/8
Factor 7*r**4 - 30*r**3 - 21*r**2 + 104*r - 60.
(r - 1)**2*(r + 2)*(7*r - 30)
What is v in 3*v**3 + 795*v**2 + 52269*v - 53067 = 0?
-133, 1
Factor -2*p**3 - 8*p**2 + 42*p.
-2*p*(p - 3)*(p + 7)
Let 4*z**3 - 40*z**2 + 28*z + 72 = 0. Calculate z.
-1, 2, 9
Let 5*l**4 + 50*l**3 + 85*l**2 + 40*l = 0. Calculate l.
-8, -1, 0
Let 5*d**2 + 140*d + 260 = 0. What is d?
-26, -2
Suppose 5*b**2 + 1020*b + 52020 = 0. What is b?
-102
Solve 3*b**3/2 - 60*b**2 - 3843*b/2 = 0 for b.
-21, 0, 61
Factor 3*d**2/4 - 105*d/4 + 459/2.
3*(d - 18)*(d - 17)/4
Suppose -2*h**3/5 + 18*h**2 - 966*h/5 - 1058/5 = 0. What is h?
-1, 23
Factor 2*q**3 - 8*q**2 - 22*q + 60.
2*(q - 5)*(q - 2)*(q + 3)
Let 3*r**5/8 + 69*r**4/2 + 8691*r**3/8 + 51711*r**2/4 + 79497*r/2 + 35937 = 0. Calculate r.
-33, -22, -2
Let 2*o**5/3 + 4*o**4/3 - 10*o**3/3 - 4*o**2 = 0. Calculate o.
-3, -1, 0, 2
Solve -r**2/5 + 13*r/5 - 22/5 = 0 for r.
2, 11
Let 212*l**2/3 + 676*l/3 + 40 = 0. Calculate l.
-3, -10/53
Suppose 2*z**5/13 - 28*z**4/13 + 98*z**3/13 = 0. Calculate z.
0, 7
Let -2*n**4 + 87*n**3 - 1076*n**2 + 2640*n + 1600 = 0. What is n?
-1/2, 4, 20
Determine j, given that 24*j**2/7 - 723*j/7 + 90/7 = 0.
1/8, 30
Factor 5*w**2 - 5*w - 10.
5*(w - 2)*(w + 1)
Determine j, given that 3*j**5 + 27*j**4/2 - 201*j**3 - 1503*j**2/2 - 324*j = 0.
-9, -3, -1/2, 0, 8
Suppose -4*j**3 - 716*j**2 - 32396*j - 31684 = 0. What is j?
-89, -1
Determine i so that i**2/6 + 11*i/6 + 5/3 = 0.
-10, -1
Determine q so that q**3 + 13*q**2 + 51*q + 63 = 0.
-7, -3
What is c in -2*c**4 - 20*c**3 = 0?
-10, 0
Solve -c**3/2 + 95*c**2/2 - 2303*c/2 + 2209/2 = 0 for c.
1, 47
Solve -3*f**4 + 54*f**3 - 93*f**2 - 54*f + 96 = 0.
-1, 1, 2, 16
Suppose 375*v**4 - 525*v**3 - 180*v**2 + 528*v - 192 = 0. What is v?
-1, 4/5
Factor -5*v**2 - 415*v - 410.
-5*(v + 1)*(v + 82)
Solve 3*w**4/2 - 5*w**3 - 11*w**2/2 + 5*w + 4 = 0.
-1, -2/3, 1, 4
Determine w, given that 4*w**3 + 50*w**2/7 + 26*w/7 + 4/7 = 0.
-1, -1/2, -2/7
Solve 8*v**3/3 + 4*v**2/3 - 244*v/3 + 40 = 0.
-6, 1/2, 5
Suppose 4*z**4/5 - 47*z**3/5 + 168*z**2/5 - 171*z/5 - 54/5 = 0. Calculate z.
-1/4, 3, 6
Let 4*k**3 - 100*k**2 - 216*k = 0. Calculate k.
-2, 0, 27
Factor 2*l**4 + 1224*l**3 + 188490*l**2 + 372100*l.
2*l*(l + 2)*(l + 305)**2
Suppose 4*b**3 - 36*b**2 + 80*b - 48 = 0. Calculate b.
1, 2, 6
Solve q**3 + 4140*q**2 + 4284900*q = 0.
-2070, 0
Determine u so that u**3/7 + 219*u**2/7 + 15987*u/7 + 389017/7 = 0.
-73
Let -4*t**2 - 136*t - 132 = 0. What is t?
-33, -1
Factor -k**2/4 - 293*k/4 - 435/2.
-(k + 3)*(k + 290)/4
Factor -2*b**2 - 112*b + 354.
-2*(b - 3)*(b + 59)
Factor 3*l**3/5 - 57*l**2/5 - 90*l.
3*l*(l - 25)*(l + 6)/5
Factor -o**5 + 10*o**4 + 52*o**3 + 56*o**2.
-o**2*(o - 14)*(o + 2)**2
Factor 5*y**2 - 254*y - 51.
(y - 51)*(5*y + 1)
Factor -z**5 - 11*z**4 + 3*z**3 + 35*z**2 + 22*z.
-z*(z - 2)*(z + 1)**2*(z + 11)
Factor 2*p**3/23 - 44*p**2/23 + 214*p/23 + 260/23.
2*(p - 13)*(p - 10)*(p + 1)/23
Suppose n**3 - 123*n**2/5 + 14*n + 48/5 = 0. What is n?
-2/5, 1, 24
Let s**4/7 - 5*s**3/7 + s**2 - 3*s/7 = 0. Calculate s.
0, 1, 3
Let 2*w**5 - 160*w**4 + 462*w**3 + 8*w**2 - 616*w = 0. What is w?
-1, 0, 2, 77
Factor 2*j**5/7 - 12*j**4/7 + 2*j**3/7 + 48*j**2/7 + 32*j/7.
2*j*(j - 4)**2*(j + 1)**2/7
Factor l**2/4 - 81*l/2 - 340.
(l - 170)*(l + 8)/4
Suppose 12*h**5/7 + 591*h**4/7 - 1689*h**3/7 + 1401*h**2/7 - 159*h/7 - 156/7 = 0. Calculate h.
-52, -1/4, 1
Suppose -w**3/5 + 67*w**2/5 + 281*w/5 + 213/5 = 0. Calculate w.
-3, -1, 71
Factor -3*z**2 - 18*z.
-3*z*(z + 6)
Find u such that u**3/5 + u**2 - 73*u/5 - 77/5 = 0.
-11, -1, 7
Factor -w**3 + 6*w**2 + 27*w.
-w*(w - 9)*(w + 3)
Find v, given that -2*v**5/5 + 18*v**4/5 - 4*v**3 - 156*v**2/5 + 62*v - 30 = 0.
-3, 1, 5
Solve -9*u**2 - 96*u - 256 = 0.
-16/3
Solve 2*f**3/9 + 106*f**2/9 = 0.
-53, 0
Factor z**2/5 - 2*z/5 - 224/5.
(z - 16)*(z + 14)/5
What is t in 2*t**2/17 - 17128*t/17 + 36671048/17 = 0?
4282
Suppose 3*k**3/5 - 453*k**2/5 + 3552*k - 49284/5 = 0. What is k?
3, 74
Factor 3*t**3 - 150*t**2 - 312*t.
3*t*(t - 52)*(t + 2)
Suppose -5*o**3 - 65*o**2 + 365*o + 425 = 0. Calculate o.
-17, -1, 5
What is r in 5*r**2 - 65*r - 450 = 0?
-5, 18
Let 70*y**5 - 22*y**4 - 40*y**3 - 8*y**2 = 0. Calculate y.
-2/5, -2/7, 0, 1
Determine t, given that -45*t**2 + 2915*t + 650 = 0.
-2/9, 65
Determine c so that -3*c**2 + 330*c + 333 = 0.
-1, 111
Determine o so that 44*o**3 + 248*o**2 - 404*o + 112 = 0.
-7, 4/11, 1
Suppose 20*u**3 - 5352*u**2 - 12944*u - 4320 = 0. Calculate u.
-2, -2/5, 270
Factor -35*f**2 - 670*f - 95.
-5*(f + 19)*(7*f + 1)
Factor 2*z**3/5 - 4*z**2/5 - 8*z - 48/5.
2*(z - 6)*(z + 2)**2/5
Determine t so that -2*t**4 + 1394*t**3 - 8316*t**2 + 16600*t - 11056 = 0.
2, 691
Find n, given that -11*n**5 - 31*n**4 + 116*n**3 - 20*n**2 = 0.
-5, 0, 2/11, 2
Determine u, given that -2*u**3 - 48*u**2 - 378*u - 980 = 0.
-10, -7
Factor -14*s**5 - 130*s**4 - 414*s**3 - 486*s**2 - 108*s.
-2*s*(s + 3)**3*(7*s + 2)
Factor 3*y**2 - 168*y - 3456.
3*(y - 72)*(y + 16)
Find x, given that 25*x**2/3 - 1015*x/3 - 410/3 = 0.
-2/5, 41
Solve -3*w**2/2 + 81*w/2 + 87 = 0.
-2, 29
Let 2*d**3/3 + 22*d**2/3 + 64*d/3 + 56/3 = 0. Calculate d.
-7, -2
Determine b so that b**3 + 10*b**2 - 2100*b - 45000 = 0.
-30, 50
Let -2*a**5 - 8*a**4 + 256*a**3 + 268*a**2 - 254*a - 260 = 0. What is a?
-13, -1, 1, 10
Solve -c**4/5 + 8*c**3/5 + 49*c**2/5 - 8*c/5 - 48/5 = 0.
-4, -1, 1, 12
Factor 2*m**2 - 80*m + 600.
2*(m - 30)*(m - 10)
Factor 2*u**2/9 + 2906*u/9 - 1940/3.
2*(u - 2)*(u + 1455)/9
Factor -3*b**3/5 - 18*b**2/5 + 15*b - 54/5.
-3*(b - 2)*(b - 1)*(b + 9)/5
Factor k**5 + 6*k**4 - 11*k**3 - 60*k**2 + 100*k.
k*(k - 2)**2*(k + 5)**2
Factor -s**2/5 - 389*s/5 + 78.
-(s - 1)*(s + 390)/5
Determine l so that -2*l**2/17 + 220*l/17 + 222/17 = 0.
-1, 111
Factor -2*u**5/21 - 58*u**4/21 - 110*u**3/21 - 18*u**2/7.
-2*u**2*(u + 1)**2*(u + 27)/21
Solve -3*m**5/4 + 213*m**4/4 + 219*m**3/4 - 213*m**2/4 - 54*m = 0 for m.
-1, 0, 1, 72
Suppose a**2/7 + 536*a/7 + 71824/7 = 0. Calculate a.
-268
Factor -3*p**3 + 39*p**2 + 192*p + 204.
-3*(p - 17)*(p + 2)**2
Factor -10*c**3 + 184*c**2 - 242*c + 68.
-2*(c - 17)*(c - 1)*(5*c - 2)
Factor x**3/3 + 183*x**2 + 24840*x - 76176.
(x - 3)*(x + 276)**2/3
Suppose -p**5/2 + 19*p**4 - 100*p**3 + 125*p**2 + 201*p/2 - 144 = 0. Calculate p.
-1, 1, 3, 32
Factor -20*w**3 + 48*w**2 + 68*w - 96.
-4*(w - 3)*(w - 1)*(5*w + 8)
Factor 2*w**4/7 + 4*w**3/7 - 8*w**2/7 - 4*w/7 + 6/7.
2*(w - 1)**2*(w + 1)*(w + 3)/7
Factor -5*d**3/4 + 3*d**2 + 3*d - 8.
-(d - 2)**2*(5*d + 8)/4
Factor 4*s**4/3 - 52*s**3/3 + 220*s**2/3 - 100*s.
4*s*(s - 5)**2*(s - 3)/3
Find d, given that -3*d**3/5 + 9*d**2 + 48*d/5 = 0.
-1, 0, 16
What is s in 126*s**4 - 681*s**3 - 2637*s**2/7 + 2592*s/7 - 60 = 0?
-1, 2/7, 35/6
What is m in 2*m**3/5 + 18*m**2/5 + 28*m/5 = 0?
-7, -2, 0
Factor -27*m**3 + 1035*m**2 - 1344*m + 444.
-3*(m - 37)*(3*m - 2)**2
Factor a**2/3 - 4*a/3 - 5/3.
(a - 5)*(a + 1)/3
Factor 4*f**2 + 224*f + 1200.
4*(f + 6)*(f + 50)
Factor 2*t**4 - 126*t**3 + 480*t**2 - 472*t.
2*t*(t - 59)*(t - 2)**2
Determine o so that -147*o**3 + 189*o**2 - 81*o + 81/7 = 0.
3/7
Determine y, given that 4*y**2 + 372*y + 368 = 0.
-92, -1
Factor -2*l**4/13 + 352*l**3/13 - 20532*l**2/13 + 389872*l/13 + 410758/13.
-2*(l - 59)**3*(l + 1)/13
Factor -q**3 + 7*q**2 + 30*q.
-q*(q - 10)*(q + 3)
Solve 5*f**2 + 1005*f + 1990 = 0 for f.
-199, -2
Factor r**4/2 + 291*r**3/2 - 147*r**2 - 292*r.
r*(r - 2)*(r + 1)*(r + 292)/2
Let 2*f**3 - 900*f**2 - 902*f = 0. Calculate f.
-1, 0, 451
Factor -4*q**3 + 68*q**2 - 120*q.
-4*q*(q - 15)*(q - 2)
Factor -12*v**3 - 118*v**2 - 92*v - 18.
-2*(v + 9)*(2*v + 1)*(3*v + 1)
Factor 5*k**4 - 25*k**3 - 485*k**2 - 455*k.
5*k*(k - 13)*(k + 1)*(k + 7)
Determine f so that -f**2/4 + 3*f = 0.
0, 12
Factor 45*u**3 + 145*u**2 + 30*u.
5*u*(u + 3)*(9*u + 2)
Factor -2*j**4/3 + 8*j**3/3 + 22*j**2/3 + 4*j.
-2*j*(j - 6)*(j + 1)**2/3
Factor -3*y**2 + 249*y/2 - 123/2.
-3*(y - 41)*(2*y -