e -20*b**4 - 184*b**3 + 1584*b**2 - 2376*b - 540 = 0. What is b?
-15, -1/5, 3
Find p, given that -4*p**4 + 184*p**3 - 2880*p**2 + 16200*p - 13500 = 0.
1, 15
What is q in 2*q**3/5 + 24*q**2/5 - 26*q/5 = 0?
-13, 0, 1
Find t, given that t**3/3 + 2*t**2/3 - 64*t/3 + 160/3 = 0.
-10, 4
Determine r so that -r**4 + 188*r**3 - 922*r**2 + 1284*r - 549 = 0.
1, 3, 183
Factor -r**2/2 - 2*r - 3/2.
-(r + 1)*(r + 3)/2
Find h such that 3*h**5 - 66*h**4 + 426*h**3 - 1056*h**2 + 1083*h - 390 = 0.
1, 2, 5, 13
Suppose 4*d**5 + 36*d**4 - 400*d**3 + 768*d**2 = 0. What is d?
-16, 0, 3, 4
Factor -3*w**2/2 + 63*w + 129/2.
-3*(w - 43)*(w + 1)/2
Suppose a**3/4 - 5*a**2/4 - 61*a/4 - 55/4 = 0. What is a?
-5, -1, 11
Factor 3*r**2/5 + 348*r/5 + 10092/5.
3*(r + 58)**2/5
Determine q, given that -3*q**4/7 - 3*q**3/7 + 93*q**2/7 + 3*q/7 - 90/7 = 0.
-6, -1, 1, 5
Factor -2*r**2/3 + 110*r/3 - 212/3.
-2*(r - 53)*(r - 2)/3
Find b, given that 5*b**2 + 64440*b + 207625680 = 0.
-6444
Find u such that 5*u**5 - 703*u**4/3 - 139*u**3/3 + 713*u**2 - 1124*u/3 - 188/3 = 0.
-2, -2/15, 1, 47
Factor f**2/2 - 398*f - 797/2.
(f - 797)*(f + 1)/2
Determine g so that 2*g**3/11 - 82*g**2/11 + 510*g/11 + 54 = 0.
-1, 9, 33
Suppose -4*d**5 - 1040*d**4 - 65488*d**3 + 274560*d**2 - 278784*d = 0. What is d?
-132, 0, 2
Suppose -5*i**3 - 50*i**2 - 145*i - 100 = 0. What is i?
-5, -4, -1
Suppose 2*r**4/3 + 142*r**3/15 + 28*r**2 = 0. Calculate r.
-10, -21/5, 0
Suppose -l**3/2 - 21*l**2 - 41*l/2 = 0. What is l?
-41, -1, 0
Factor -5*n**2 - 5*n + 60.
-5*(n - 3)*(n + 4)
Factor v**4/5 - 123*v**3/5 + 3841*v**2/5 - 3477*v/5 - 7442/5.
(v - 61)**2*(v - 2)*(v + 1)/5
Factor -3*j**4/4 - 27*j**3/4 + 3*j**2/4 + 27*j/4.
-3*j*(j - 1)*(j + 1)*(j + 9)/4
Determine o so that -o**5/7 + 18*o**4/7 - 117*o**3/7 + 324*o**2/7 - 324*o/7 = 0.
0, 3, 6
Find n, given that 10*n**5/3 + 122*n**4/3 + 466*n**3/3 + 178*n**2 - 84*n - 144 = 0.
-6, -3, -1, 4/5
Factor 2*i**2/11 + 236*i/11 + 6962/11.
2*(i + 59)**2/11
Factor -6*f**2/7 + 90*f/7 - 216/7.
-6*(f - 12)*(f - 3)/7
Determine k, given that 12*k**2 + 27*k - 27 = 0.
-3, 3/4
Factor -3*x**4 + 237*x**3 + 729*x**2 + 735*x + 246.
-3*(x - 82)*(x + 1)**3
Find k such that 4*k**2 + 36*k - 40 = 0.
-10, 1
Let -x**5 + 10*x**4 - 37*x**3 + 64*x**2 - 52*x + 16 = 0. What is x?
1, 2, 4
Factor c**2 + 18*c + 81.
(c + 9)**2
Factor y**2 + 16*y - 36.
(y - 2)*(y + 18)
Factor i**3 + 16*i**2 - 251*i + 234.
(i - 9)*(i - 1)*(i + 26)
Find m, given that 2*m**3 - 40*m**2 - 8*m + 160 = 0.
-2, 2, 20
What is a in -4*a**5 - 16*a**4 - 4*a**3 + 40*a**2 + 16*a - 32 = 0?
-2, 1
Solve 2*b**4/7 - 432*b**3/7 + 1284*b**2/7 - 1280*b/7 + 426/7 = 0.
1, 213
Let 16*h**5/7 + 12*h**4/7 - 100*h**3/7 + 24*h**2/7 = 0. Calculate h.
-3, 0, 1/4, 2
Let 35*b**4 - 690*b**3 + 465*b**2 + 190*b = 0. What is b?
-2/7, 0, 1, 19
Factor -4*p**2 + 2752*p - 473344.
-4*(p - 344)**2
Factor -2*o**3/3 - 6*o**2 - 28*o/3.
-2*o*(o + 2)*(o + 7)/3
Factor 5*v**5 - 680*v**4 + 31700*v**3 - 544720*v**2 + 1819840*v - 1703680.
5*(v - 44)**3*(v - 2)**2
Suppose -5*j**2 - 2820*j = 0. What is j?
-564, 0
Factor -2*c**3/11 - 10*c**2/11 - 16*c/11 - 8/11.
-2*(c + 1)*(c + 2)**2/11
Factor -4*k**4 + 88*k**3 - 560*k**2 + 800*k.
-4*k*(k - 10)**2*(k - 2)
Find p, given that p**3/11 - 7*p**2/11 - p/11 + 7/11 = 0.
-1, 1, 7
Factor -5*d**4 - 40*d**3 - 75*d**2 + 20*d + 100.
-5*(d - 1)*(d + 2)**2*(d + 5)
Factor 4*q**2 - 240*q + 3500.
4*(q - 35)*(q - 25)
Factor -2*a**2/9 - 20*a/9.
-2*a*(a + 10)/9
Factor 2*j**3/15 + 4*j**2/3 - 50*j - 600.
2*(j - 20)*(j + 15)**2/15
Let 4*k**2 - 11224*k + 7873636 = 0. Calculate k.
1403
Factor -2*z**3/21 - 16*z**2/3 + 834*z/7 - 3996/7.
-2*(z - 9)**2*(z + 74)/21
Let 8*w**4/5 + 14*w**3 - 402*w**2/5 + 512*w/5 - 104/5 = 0. What is w?
-13, 1/4, 2
Factor v**3 + 380*v**2 + 1507*v + 1128.
(v + 1)*(v + 3)*(v + 376)
Determine o, given that -1154*o**3 - 2*o**2 = 0.
-1/577, 0
Factor y**4 - 25*y**3/3 + 2*y**2 + 16*y/3.
y*(y - 8)*(y - 1)*(3*y + 2)/3
What is z in -2*z**2/9 - 1624*z/9 + 542/3 = 0?
-813, 1
Suppose 4*q**5 - 16*q**4 - 24*q**3 + 16*q**2 + 20*q = 0. Calculate q.
-1, 0, 1, 5
Factor -3*c**4 + 294*c**3 - 7203*c**2.
-3*c**2*(c - 49)**2
Let g**2/8 - 1051*g/8 - 1053/4 = 0. Calculate g.
-2, 1053
Factor -2*p**2 - 20*p - 32.
-2*(p + 2)*(p + 8)
Factor 2*t**2 + 8*t/3 - 8/3.
2*(t + 2)*(3*t - 2)/3
Suppose -i**5/2 + 23*i**4 - 43*i**3/2 - 45*i**2 = 0. What is i?
-1, 0, 2, 45
Factor -x**4/4 + 129*x**3/4 - 127*x**2/2.
-x**2*(x - 127)*(x - 2)/4
Factor 2*b**2/15 - 26*b/15 + 8/5.
2*(b - 12)*(b - 1)/15
Determine u, given that -3*u**2/5 + 8844*u/5 - 6518028/5 = 0.
1474
Factor -c**3/2 - 181*c**2/2 - 4140*c - 4050.
-(c + 1)*(c + 90)**2/2
Solve -2*d**2/9 + 10*d = 0 for d.
0, 45
Determine s, given that -8*s**5/5 + 11*s**4 + 31*s**3/5 - 149*s**2/5 - 131*s/5 - 14/5 = 0.
-1, -1/8, 2, 7
Factor 2*b**2 - 1892*b + 447458.
2*(b - 473)**2
Find b such that -4*b**2 + 4*b + 24 = 0.
-2, 3
Factor 55*q**3/3 + 332*q**2/3 + 169*q + 6.
(q + 3)**2*(55*q + 2)/3
Find q, given that 8*q**2/7 - 20*q = 0.
0, 35/2
Factor -6*l**2 + 93*l + 48.
-3*(l - 16)*(2*l + 1)
Find v, given that 74*v**4/3 - 14*v**3/3 = 0.
0, 7/37
Factor 3*t**2/8 + 15*t/4 - 33/8.
3*(t - 1)*(t + 11)/8
Factor 5*z**3/4 + 105*z**2/4 + 715*z/4 + 1575/4.
5*(z + 5)*(z + 7)*(z + 9)/4
Factor 28*n**3 + 38*n**2 - 8*n - 18.
2*(n + 1)**2*(14*n - 9)
Find z such that -2*z**5/5 + 494*z**4/5 - 29754*z**3/5 - 18550*z**2 - 12500*z = 0.
-2, -1, 0, 125
Factor 164*l**2/5 + 4984*l - 1216/5.
4*(l + 152)*(41*l - 2)/5
Determine g, given that -8*g**3/3 + 196*g**2/3 - 32*g = 0.
0, 1/2, 24
Factor 8*a**3 + 996*a**2 - 1508*a + 504.
4*(a - 1)*(a + 126)*(2*a - 1)
Suppose p**3 + 7*p**2 - 260*p = 0. What is p?
-20, 0, 13
Factor -2*z**4/5 + 22*z**3/5 + 24*z**2/5.
-2*z**2*(z - 12)*(z + 1)/5
Determine s so that -s**3 + 40*s**2 - 213*s + 306 = 0.
3, 34
Determine j so that -2*j**4/5 - 32*j**3/5 - 148*j**2/5 - 208*j/5 - 18 = 0.
-9, -5, -1
Factor 22*g**4 - 564*g**3 + 3510*g**2 + 1352*g.
2*g*(g - 13)**2*(11*g + 4)
Find t, given that -2*t**4 - 502*t**3 - 40194*t**2 - 862866*t + 13170060 = 0.
-87, 10
Find n, given that 24*n**5/5 + 76*n**4/5 + 12*n**3/5 = 0.
-3, -1/6, 0
Find d, given that 4*d**3 - 772*d**2 + 1532*d - 764 = 0.
1, 191
What is r in 5*r**2 + 2250*r - 2255 = 0?
-451, 1
Determine p so that 2*p**2 + 640*p + 638 = 0.
-319, -1
Factor -4*h**2 + 44*h - 72.
-4*(h - 9)*(h - 2)
Suppose -r**3/3 + 8*r**2/3 - 7*r/3 = 0. Calculate r.
0, 1, 7
Factor 4*w**3 + 1048*w**2 + 71680*w + 393216.
4*(w + 6)*(w + 128)**2
Factor -3*k**5/8 + 69*k**4/8 - 45*k**3 - 54*k**2.
-3*k**2*(k - 12)**2*(k + 1)/8
Factor -3*c**2 - 2097*c/5 + 84.
-3*(c + 140)*(5*c - 1)/5
Solve -5*o**4 - 75*o**3 - 235*o**2 - 165*o = 0 for o.
-11, -3, -1, 0
Suppose -s**2/3 - 452*s - 153228 = 0. Calculate s.
-678
Solve 3*f**2 - 438*f + 3312 = 0.
8, 138
Solve -4*j**5 + 8*j**4 + 32*j**3 - 72*j**2 + 36*j = 0 for j.
-3, 0, 1, 3
Factor 4*c**2 - 572*c - 1752.
4*(c - 146)*(c + 3)
Solve -5*f**3 - 1780*f**2 - 161920*f - 619520 = 0 for f.
-176, -4
Solve z**4 + 32*z**3 + 360*z**2 + 1600*z + 2000 = 0.
-10, -2
Determine l, given that -150*l**2/7 - 800*l/7 - 104/7 = 0.
-26/5, -2/15
Determine s, given that 2*s**4 - 40*s**3/3 - 6*s**2 + 28*s/3 = 0.
-1, 0, 2/3, 7
Solve 2*a**2/11 + 32*a/11 + 56/11 = 0 for a.
-14, -2
What is i in 99*i**3 - 1194*i**2 + 72*i = 0?
0, 2/33, 12
Determine l, given that 50*l**3/3 - 370*l**2 - 304*l - 184/3 = 0.
-2/5, 23
Find y, given that -5*y**4/3 + 410*y**3/3 + 440*y**2 - 3850*y/3 + 2125/3 = 0.
-5, 1, 85
Let 5*n**5 + 35*n**4 + 30*n**3 = 0. What is n?
-6, -1, 0
Find x, given that -2*x**4/7 - 18*x**3/7 - 60*x**2/7 - 88*x/7 - 48/7 = 0.
-3, -2
Factor -3*i**5 + 24*i**4 - 75*i**3 + 114*i**2 - 84*i + 24.
-3*(i - 2)**3*(i - 1)**2
Suppose 4*p**5 - 32*p**4 + 16*p**3 + 104*p**2 - 148*p + 56 = 0. What is p?
-2, 1, 7
What is j in 4*j**4/7 + 4*j**3/7 - 68*j**2/7 + 60*j/7 = 0?
-5, 0, 1, 3
Factor 2*g**3 - 150*g**2 + 3534*g - 24986.
2*(g - 31)**2*(g - 13)
Suppose -27*l**4 + 183*l**3 - 387*l**2 + 333*l - 102 = 0. Calculate l.
1, 34/9
What is m in m**4 + 35*m**3 + 113*m**2 - 335*m + 186 = 0?
-31, -6, 1
Determine i, given that -4*i**3 + 124*i**2 - 112*i - 240 = 0.
-1, 2, 30
Factor 5*l**2 + 3310*l + 547805.
5*(l + 331)**2
Factor 2*d**3 + 16*d**2 + 24*d.
2*d*(d + 2)*(d + 6)
Factor a**5 - 240*a**4 + 477*a**3 - 238*a**2.
a**2*(a - 238)*(a - 1)**2
Factor m**3/8 