-2, -1/3, 0, 9
Factor -2*j**2 - 1160*j - 168200.
-2*(j + 290)**2
Determine f, given that -2*f**5/13 + 34*f**4/13 + 76*f**3/13 + 4*f**2/13 - 74*f/13 - 38/13 = 0.
-1, 1, 19
Let h**4 - 36*h**3 + 180*h**2 + 32*h - 960 = 0. Calculate h.
-2, 4, 30
Solve -2*o**2/13 + 112*o/13 + 114/13 = 0 for o.
-1, 57
Factor -h**4/4 + 5*h**3/4 + 3*h**2/2.
-h**2*(h - 6)*(h + 1)/4
Suppose n**4/4 - 7*n**3/4 + 11*n**2/4 - 5*n/4 = 0. What is n?
0, 1, 5
Factor 3*i**2 - 16290*i + 22113675.
3*(i - 2715)**2
What is i in 2*i**2 + 26*i - 1216 = 0?
-32, 19
Factor -5*v**2 - 25*v + 2280.
-5*(v - 19)*(v + 24)
Determine r so that 4*r**5 - 172*r**3 + 152*r**2 + 1920*r - 3200 = 0.
-5, 2, 4
Determine c so that -c**3/4 - 471*c**2/4 - 55695*c/4 - 55225/4 = 0.
-235, -1
Factor 4*h**2 + 1648*h + 169744.
4*(h + 206)**2
Factor 2*g**2 + 10*g - 100.
2*(g - 5)*(g + 10)
Factor 4*j**3 - 504*j**2 - 4*j + 504.
4*(j - 126)*(j - 1)*(j + 1)
Let -4*q**4 + 27638*q**3 - 47761914*q**2 + 71594512*q - 23860232 = 0. What is q?
1/2, 1, 3454
Factor -2*o**3/11 + 1978*o**2/11 - 44370*o - 44550.
-2*(o - 495)**2*(o + 1)/11
Factor -s**4 - 55*s**3 + 113*s**2 - 57*s.
-s*(s - 1)**2*(s + 57)
Determine x, given that -12*x**5 + 117*x**4 - 222*x**3 - 63*x**2 = 0.
-1/4, 0, 3, 7
Factor -35*b**4 - 10*b**3 + 140*b**2 + 40*b.
-5*b*(b - 2)*(b + 2)*(7*b + 2)
Suppose -z**4 - 121*z**3 + 3*z**2 + 361*z - 242 = 0. Calculate z.
-121, -2, 1
Let -5*m**3 + 1200*m**2 - 96000*m + 2560000 = 0. What is m?
80
Solve -4*j**5 + 72*j**4 - 28*j**3 - 648*j**2 - 544*j = 0.
-2, -1, 0, 4, 17
Let -12*m**3 - 789*m**2 - 12870*m + 3267 = 0. What is m?
-33, 1/4
Solve -6*n**2/5 + 21*n + 54/5 = 0.
-1/2, 18
Factor j**3 + 280*j**2/3 + 91*j/3 - 62.
(j + 1)*(j + 93)*(3*j - 2)/3
Factor -5*p**3 - 335*p**2 - 330*p.
-5*p*(p + 1)*(p + 66)
Let 4*m**5 - 572*m**4 - 1160*m**3 = 0. What is m?
-2, 0, 145
Factor -24*y**2 + 748*y - 840.
-4*(y - 30)*(6*y - 7)
Factor 2*p**2 - 468*p - 2390.
2*(p - 239)*(p + 5)
Find w such that -2*w**2/9 + 8*w/9 = 0.
0, 4
Suppose 4*k**4 - 28*k**2 - 24*k = 0. Calculate k.
-2, -1, 0, 3
Solve -20*d**3 - 1075*d**2 - 14310*d + 3645 = 0 for d.
-27, 1/4
Factor -2*f**2/3 + 332*f/3 - 110.
-2*(f - 165)*(f - 1)/3
Find w such that 2*w**2 - 26*w + 24 = 0.
1, 12
Determine b so that -12*b**5 - 142*b**4/5 + 4*b**3 + 30*b**2 + 8*b - 8/5 = 0.
-2, -1, -1/2, 2/15, 1
Factor 3*j**2/2 + 9*j.
3*j*(j + 6)/2
Factor 2*z**2/3 - 14*z/3 - 16/3.
2*(z - 8)*(z + 1)/3
Factor y**2/4 + 89*y/4.
y*(y + 89)/4
What is j in -j**2/2 - 460*j = 0?
-920, 0
Let 2*j**3/9 - 602*j**2/9 + 15200*j/3 - 5000 = 0. What is j?
1, 150
Factor -55*o**2/8 - 57*o/8 - 1/4.
-(o + 1)*(55*o + 2)/8
Factor g**4/2 - 269*g**3/2 + 18489*g**2/2 - 53599*g/2 + 17689.
(g - 133)**2*(g - 2)*(g - 1)/2
Solve -2*s**2 + 412*s - 21218 = 0.
103
Solve 5*y**5 - 45*y**4 - 90*y**3 + 970*y**2 + 1365*y - 2205 = 0.
-3, 1, 7
What is j in -18*j**3 - 58*j**2 - 48*j - 8 = 0?
-2, -1, -2/9
What is x in 5*x**5 - 1015*x**4 + 51000*x**3 + 52020*x**2 = 0?
-1, 0, 102
Determine v, given that v**3 - 10*v**2 + 17*v - 8 = 0.
1, 8
Factor 5*o**4/2 + 10*o**3 + 15*o**2 + 10*o + 5/2.
5*(o + 1)**4/2
What is l in l**3 - 5313*l**2 + 10623*l - 5311 = 0?
1, 5311
Factor z**3/4 + z**2/2 - 41*z/4 - 21/2.
(z - 6)*(z + 1)*(z + 7)/4
Factor 2*h**3 + 390*h**2 + 19206*h + 18818.
2*(h + 1)*(h + 97)**2
Solve -25*h**3 + 140*h**2 - 165*h - 90 = 0 for h.
-2/5, 3
Let -k**2/3 - 1130*k/3 - 319225/3 = 0. Calculate k.
-565
Let 35*f**5 - 165*f**4 + 55*f**3 + 205*f**2 - 90*f - 40 = 0. Calculate f.
-1, -2/7, 1, 4
Suppose -w**3/4 + 11*w**2/4 - w - 15 = 0. What is w?
-2, 3, 10
What is n in -2*n**3 - 32*n**2 + 38*n + 68 = 0?
-17, -1, 2
Find r, given that 3*r**2 + 2652*r + 586092 = 0.
-442
Find t, given that 2*t**3 - 30*t**2 - 32*t = 0.
-1, 0, 16
Determine z so that -3*z**5/4 - 35*z**4/4 - 36*z**3 - 59*z**2 - 24*z + 16 = 0.
-4, -2, 1/3
Factor 2*s**3/13 + 76*s**2/13 + 622*s/13 - 700/13.
2*(s - 1)*(s + 14)*(s + 25)/13
Factor -3*k**2 - 54*k + 345.
-3*(k - 5)*(k + 23)
Factor 2*i**4/9 + 16*i**3/9 + 38*i**2/9 + 8*i/3.
2*i*(i + 1)*(i + 3)*(i + 4)/9
Determine d, given that 2*d**5/11 + 40*d**4/11 + 214*d**3/11 + 104*d**2/11 - 360*d/11 = 0.
-10, -9, -2, 0, 1
Factor -k**2/3 + 16*k/3.
-k*(k - 16)/3
Factor -5*l**2 - 16110*l - 12976605.
-5*(l + 1611)**2
Determine k, given that -2*k**2 + 3744*k - 1752192 = 0.
936
Factor 3*x**4 - 18*x**3.
3*x**3*(x - 6)
Factor -8*o**3 + 58*o**2 + 888*o + 630.
-2*(o - 15)*(o + 7)*(4*o + 3)
Find n, given that n**4 + 282*n**3/5 + 1127*n**2/5 - 894*n/5 - 104 = 0.
-52, -5, -2/5, 1
Solve 2*c**3 - 42*c**2 = 0 for c.
0, 21
Find n, given that -n**4/2 + 6*n**3 + 13*n**2/2 = 0.
-1, 0, 13
Let -2*j**3/11 - 80*j**2/11 - 328*j/11 + 2720/11 = 0. Calculate j.
-34, -10, 4
Suppose a**3 - 58*a**2 + 51*a + 342 = 0. What is a?
-2, 3, 57
Find g, given that -4*g**2 - 48*g - 44 = 0.
-11, -1
What is i in 6*i**3 + 130*i**2 - 48*i - 88 = 0?
-22, -2/3, 1
Factor t**5/5 - 22*t**3/5 - 24*t**2/5 + 9*t.
t*(t - 5)*(t - 1)*(t + 3)**2/5
Solve 2*s**2 - 148*s - 304 = 0 for s.
-2, 76
Suppose -2*d**4 + 96*d**3 + 110*d**2 - 588*d = 0. What is d?
-3, 0, 2, 49
Determine v so that v**4 - v**3 - 7*v**2 + v + 6 = 0.
-2, -1, 1, 3
Solve -u**4/5 + 83*u**3/5 - 2106*u**2/5 + 15552*u/5 - 23328/5 = 0 for u.
2, 9, 36
Solve 5*b**4 - 95*b**2 + 150*b = 0.
-5, 0, 2, 3
Solve -3*f**3 - 18*f**2 - 33*f - 18 = 0 for f.
-3, -2, -1
Factor l**2/3 - 1796*l + 2419212.
(l - 2694)**2/3
Factor j**3/12 + 7*j**2/12 + 11*j/12 + 5/12.
(j + 1)**2*(j + 5)/12
Let -10*n**4/3 + 64*n**3/3 - 38*n**2 + 12*n = 0. Calculate n.
0, 2/5, 3
What is t in 2*t**4/9 - 328*t**3/9 + 108*t**2 - 968*t/9 + 322/9 = 0?
1, 161
What is s in -3*s**4/4 + 33*s**3/4 - 81*s**2/4 + 75*s/4 - 6 = 0?
1, 8
Solve -2*x**3 + 1088*x**2 - 149050*x + 293764 = 0 for x.
2, 271
Factor -3*b**4 + 24*b**3 + 225*b**2 + 378*b.
-3*b*(b - 14)*(b + 3)**2
Solve -l**2/2 + 73*l + 148 = 0 for l.
-2, 148
Find b such that 2*b**5 + 108*b**4 + 1344*b**3 - 3136*b**2 = 0.
-28, 0, 2
Factor -12*s**3 - 8540*s**2 - 1517984*s + 506944.
-4*(s + 356)**2*(3*s - 1)
Determine z, given that 5*z**5/7 + 6*z**4 + 16*z**3/7 = 0.
-8, -2/5, 0
Factor 2*u**2/5 + 1914*u/5 + 1912/5.
2*(u + 1)*(u + 956)/5
Factor -2*o**4/7 + 80*o**3/7 - 716*o**2/7 - 240*o - 126.
-2*(o - 21)**2*(o + 1)**2/7
Find l such that -l**4 - 29*l**3 + l**2 + 29*l = 0.
-29, -1, 0, 1
Find o such that -3*o**5/5 - 108*o**4/5 + 6*o**3/5 + 216*o**2/5 - 3*o/5 - 108/5 = 0.
-36, -1, 1
Determine d, given that d**2 + 100*d + 99 = 0.
-99, -1
Solve -j**5/2 - 2*j**4 - 3*j**3/2 + 2*j**2 + 2*j = 0 for j.
-2, -1, 0, 1
Factor -2*q**4/13 - 990*q**3/13 - 76*q**2.
-2*q**2*(q + 1)*(q + 494)/13
Suppose -d**3/5 - 219*d**2/5 - 15987*d/5 - 389017/5 = 0. What is d?
-73
Suppose 15*x**4/4 + 5*x**3/4 - 45*x**2/4 + 15*x/4 + 5/2 = 0. What is x?
-2, -1/3, 1
Factor -5*v**3 - 30*v**2 + 480*v - 1120.
-5*(v - 4)**2*(v + 14)
Factor -m**2/6 + 185*m/3 - 34225/6.
-(m - 185)**2/6
Suppose 2*l**3/7 + 1276*l**2/7 + 203522*l/7 = 0. Calculate l.
-319, 0
Factor -4*s**3/5 + 2732*s**2/5 - 467852*s/5 + 465124/5.
-4*(s - 341)**2*(s - 1)/5
Determine w, given that w**5 + 20*w**4 - 1200*w**3 - 40000*w**2 - 320000*w = 0.
-20, 0, 40
Suppose 2*p**2 - 29968*p + 112260128 = 0. What is p?
7492
Solve 2*s**4/9 - 76*s**3/9 - 2*s**2/9 + 76*s/9 = 0.
-1, 0, 1, 38
Suppose -4*l**3/3 - 128*l**2/3 + 4*l/3 + 128/3 = 0. Calculate l.
-32, -1, 1
Factor -2*i**5 - 8*i**4 - 10*i**3 - 4*i**2.
-2*i**2*(i + 1)**2*(i + 2)
Factor o**2/3 + 19*o - 244/3.
(o - 4)*(o + 61)/3
Factor -7*w**3/12 - w**2/3.
-w**2*(7*w + 4)/12
Factor -r**2/2 - 37*r/2 + 105.
-(r - 5)*(r + 42)/2
Let -4*h**2 - 96*h = 0. Calculate h.
-24, 0
Let 4*k**2/17 - 30*k/17 + 26/17 = 0. What is k?
1, 13/2
Let 147*h**5 - 63*h**4 - 1542*h**3 - 2028*h**2 - 792*h - 96 = 0. What is h?
-2, -1, -2/7, 4
Let 42*o**2 + 23631*o/2 - 5913/2 = 0. What is o?
-1971/7, 1/4
Let -3*t**2/7 + 6*t/7 + 45/7 = 0. Calculate t.
-3, 5
Factor -2*y**3 - 42*y**2 - 256*y - 360.
-2*(y + 2)*(y + 9)*(y + 10)
Factor -2*h**2/9 + 604*h/3 - 45602.
-2*(h - 453)**2/9
Suppose 2*w**2 + 252*w - 512 = 0. Calculate w.
-128, 2
Solve o**3 + 21*o**2 + 108*o = 0 for o.
-12, -9, 0
Factor -5*t**4 + 4500*t**3 - 1336230*t**2 + 126696420*t + 1251815715.
-5*(t - 303)**3*(t + 9)
Suppose -9*z**4/2 - 13*z**3 + 39*z**2/2 + 52*z - 6 = 0. What is z?
-3, -2, 1/9, 2
Determine f so that 5*f**2 + 1310*f + 85805 = 0.
-131
Find r, gi