-1, 1, 49
Solve 5*c**4 + 560*c**3 - 2295*c**2 + 2890*c - 1160 = 0 for c.
-116, 1, 2
Factor 5*j**4 - 187*j**3 + 74*j**2.
j**2*(j - 37)*(5*j - 2)
What is u in 5*u**2 - 22560*u + 25447680 = 0?
2256
Suppose 44*r**5 - 23*r**4 - 41*r**3 + 23*r**2 - 3*r = 0. Calculate r.
-1, 0, 1/4, 3/11, 1
Suppose -2*f**5 + 34*f**4 + 250*f**3 + 574*f**2 + 544*f + 184 = 0. Calculate f.
-2, -1, 23
Solve 2*m**3 - 14*m**2 + 32*m - 24 = 0 for m.
2, 3
Factor 2*q**3 + 62*q**2 + 80*q - 7200.
2*(q - 9)*(q + 20)**2
Factor 5*f**4 + 55*f**3 + 95*f**2 + 45*f.
5*f*(f + 1)**2*(f + 9)
Let 3*h**3 - 6*h**2 - 48*h + 96 = 0. Calculate h.
-4, 2, 4
Factor -3*j**3 + 6*j**2.
-3*j**2*(j - 2)
Factor 2*q**3 + 160*q**2.
2*q**2*(q + 80)
Factor -2*z**4 - 28*z**3 - 48*z**2 + 188*z - 110.
-2*(z - 1)**2*(z + 5)*(z + 11)
Determine p, given that -14*p**2/9 - 452*p/9 - 128/9 = 0.
-32, -2/7
Factor 2*b**4 + 148*b**3 + 3744*b**2 + 34560*b + 55296.
2*(b + 2)*(b + 24)**3
Factor -a**4/3 + 2*a**2/3 - 1/3.
-(a - 1)**2*(a + 1)**2/3
Find g, given that -5*g**4 + 95*g**3 - 255*g**2 + 245*g - 80 = 0.
1, 16
Let -3*p**3 + 30*p**2 + 204*p - 504 = 0. Calculate p.
-6, 2, 14
Factor 4*q**3/5 - 128*q**2/5 + 240*q - 3456/5.
4*(q - 18)*(q - 8)*(q - 6)/5
Factor k**3/2 - 195*k**2/2 + 12675*k/2 - 274625/2.
(k - 65)**3/2
Determine l, given that 54*l**2 - 33*l/2 + 3/4 = 0.
1/18, 1/4
Solve -w**2/9 - 17*w/9 = 0.
-17, 0
Determine j, given that j**3 + 2*j**2 - 7*j + 4 = 0.
-4, 1
Factor -o**3 - 258*o**2 - 22188*o - 636056.
-(o + 86)**3
Factor 4*u**3 + 60*u**2 - 708*u + 644.
4*(u - 7)*(u - 1)*(u + 23)
Factor -2645*z**5 - 7475*z**4 - 6575*z**3 - 1325*z**2 + 400*z - 20.
-5*(z + 1)**3*(23*z - 2)**2
Suppose -2*g**4/9 - 6*g**3 - 386*g**2/9 - 26*g + 676/9 = 0. Calculate g.
-13, -2, 1
Find n, given that -25*n**5/2 + 565*n**4/4 - 1653*n**3/4 + 157*n**2/2 + 101*n - 30 = 0.
-1/2, 2/5, 5, 6
Let -s**4 + 8*s**3 + 3*s**2 - 22*s - 16 = 0. What is s?
-1, 2, 8
Suppose 8*a**5 + 28*a**4 - 4*a**3 - 104*a**2 - 112*a - 32 = 0. Calculate a.
-2, -1, -1/2, 2
Determine z, given that -5*z**3 - 75*z**2 - 310*z - 240 = 0.
-8, -6, -1
Factor -5*b**2 + 1585*b + 4800.
-5*(b - 320)*(b + 3)
Factor 18*f**3 + 68*f**2 + 56*f - 16.
2*(f + 2)**2*(9*f - 2)
Suppose 4*p**2 - 504*p = 0. Calculate p.
0, 126
Factor 2*m**2 + 14*m - 16.
2*(m - 1)*(m + 8)
Factor -4*g**2 - 34712*g - 75307684.
-4*(g + 4339)**2
Let -275207805*v**2/2 - 37095*v - 5/2 = 0. What is v?
-1/7419
What is r in r**2/4 - 7*r/2 + 6 = 0?
2, 12
Solve 6*c**2/7 - 1116*c/7 + 51894/7 = 0 for c.
93
Solve 2*z**3/3 + 1126*z**2/3 + 1120*z = 0.
-560, -3, 0
Factor -2*a**2/7 + 1490*a/7 + 1492/7.
-2*(a - 746)*(a + 1)/7
Determine u so that -5*u**3 - 65*u**2 - 230*u - 240 = 0.
-8, -3, -2
Find a such that -4*a**5 + 16*a**3 = 0.
-2, 0, 2
Suppose -r**4 - 709*r**3 - 126024*r**2 - 125316*r = 0. Calculate r.
-354, -1, 0
Suppose 2*i**5/7 - 64*i**4/7 + 234*i**3/7 - 284*i**2/7 + 16*i = 0. What is i?
0, 1, 2, 28
Factor 128*s**2 + 14112*s + 388962.
2*(8*s + 441)**2
Suppose -2*n**2/7 + 926*n/7 - 132 = 0. Calculate n.
1, 462
Suppose i**2/3 + 2*i/3 - 320 = 0. What is i?
-32, 30
Let -6*c**4/5 + 29*c**3/5 + 203*c**2/5 + 39*c + 27/5 = 0. Calculate c.
-3, -1, -1/6, 9
Factor 2*p**3 - 16*p**2 + 24*p.
2*p*(p - 6)*(p - 2)
Factor -4*i**3 - 28*i**2 - 44*i - 20.
-4*(i + 1)**2*(i + 5)
Determine w, given that 4*w**5/11 + 41*w**4/11 - 2*w**3/11 - 131*w**2/11 - 112*w/11 - 20/11 = 0.
-10, -1, -1/4, 2
Suppose -4*z**2 - 100*z + 216 = 0. What is z?
-27, 2
What is t in -4*t**2 - 1168*t - 85264 = 0?
-146
Let -b**3/9 + 5*b**2/9 + 2*b/3 = 0. Calculate b.
-1, 0, 6
Let -30*s**2/13 - 56*s/13 + 8/13 = 0. Calculate s.
-2, 2/15
Factor d**4/2 + 2*d**3 + 3*d**2/2 - 2*d - 2.
(d - 1)*(d + 1)*(d + 2)**2/2
Factor k**4/2 - 21*k**3/2 + 99*k**2/2 - 139*k/2 + 30.
(k - 15)*(k - 4)*(k - 1)**2/2
Factor -4*y**2 + 112*y + 116.
-4*(y - 29)*(y + 1)
Let -r**2/11 + 57*r/11 + 2268/11 = 0. Calculate r.
-27, 84
Suppose 5*h**2/2 + 145*h/2 - 75 = 0. What is h?
-30, 1
Suppose -w**2 + 18*w - 45 = 0. Calculate w.
3, 15
Factor -x**4/6 - 2*x**3 - 15*x**2/2 - 25*x/3.
-x*(x + 2)*(x + 5)**2/6
Factor -2*p**3 - 658*p**2 + 2*p + 658.
-2*(p - 1)*(p + 1)*(p + 329)
Let -n**3 - 54*n**2 - 297*n - 432 = 0. What is n?
-48, -3
Factor -n**3 - 3*n**2 + 4.
-(n - 1)*(n + 2)**2
Factor 338*z**3 - 1924*z**2 - 616*z - 48.
2*(z - 6)*(13*z + 2)**2
Factor 5*y**4 - 50*y**3 - 5*y**2 + 50*y.
5*y*(y - 10)*(y - 1)*(y + 1)
Suppose -6*k**5/13 - 14*k**4 - 18*k**3/13 + 1238*k**2/13 - 672*k/13 - 360/13 = 0. Calculate k.
-30, -3, -1/3, 1, 2
What is x in -x**2/10 + 20*x - 1000 = 0?
100
Factor 4*h**3 + 5244*h**2 + 2291628*h + 333813812.
4*(h + 437)**3
Suppose l**3/4 + 343*l**2/4 = 0. Calculate l.
-343, 0
Factor -3*n**2 - 432*n - 2877.
-3*(n + 7)*(n + 137)
Solve 296*c**4 - 354*c**3 + 54*c**2 + 4*c = 0 for c.
-2/37, 0, 1/4, 1
Factor -v**5/4 + 3*v**4/8 - v**2/8.
-v**2*(v - 1)**2*(2*v + 1)/8
Solve -x**4 + x**3 + 3*x**2 - x - 2 = 0 for x.
-1, 1, 2
Factor -k**3 + 21*k**2 - 56*k + 36.
-(k - 18)*(k - 2)*(k - 1)
Factor -3*f**2/4 - 271*f/4 - 45/2.
-(f + 90)*(3*f + 1)/4
Suppose 2*w**2 - 2948*w + 1086338 = 0. What is w?
737
Let -5*p**2 + 155*p - 750 = 0. Calculate p.
6, 25
Factor v**2 - 16*v/7 - 15/7.
(v - 3)*(7*v + 5)/7
Factor -b**3/3 - 17*b**2/3.
-b**2*(b + 17)/3
Solve 2*p**5/9 - 4*p**4/9 - 16*p**3/9 + 4*p**2 - 2*p = 0 for p.
-3, 0, 1, 3
Find x, given that -x**4 - 24*x**3 + 3*x**2 + 74*x + 48 = 0.
-24, -1, 2
Factor -5*t**2 + 220*t - 1440.
-5*(t - 36)*(t - 8)
Find m, given that 2*m**3/5 - 28*m**2/5 - 6*m = 0.
-1, 0, 15
Let 20*n**3 + 152*n**2 + 196*n - 368 = 0. What is n?
-23/5, -4, 1
Factor 2*f**4/13 + 112*f**3/13 + 800*f**2/13 + 1536*f/13.
2*f*(f + 4)**2*(f + 48)/13
Factor a**5/3 + 2*a**4 + 4*a**3 + 10*a**2/3 + a.
a*(a + 1)**3*(a + 3)/3
Factor j**4/6 - 47*j**3 - 283*j**2/6.
j**2*(j - 283)*(j + 1)/6
Determine x so that 3*x**4 + 303*x**3 + 8073*x**2 + 20433*x - 28812 = 0.
-49, -4, 1
Solve 3*c**5/5 - 21*c**3/5 + 18*c**2/5 = 0 for c.
-3, 0, 1, 2
Factor 2*p**2/3 - 432*p.
2*p*(p - 648)/3
Determine s so that -10*s**5 + 105*s**4 + 355*s**3 - 290*s**2 - 1260*s - 520 = 0.
-2, -1/2, 2, 13
Let 20*a**3 - 65*a**2 - 345*a + 90 = 0. What is a?
-3, 1/4, 6
Factor -l**3 + 2177*l**2 - 1183743*l - 1185921.
-(l - 1089)**2*(l + 1)
Factor -5*l**4 - 225*l**3 - 3120*l**2 - 8960*l + 61440.
-5*(l - 3)*(l + 16)**3
Let 4*v**4/3 + 4*v**3/3 - 16*v**2/3 - 16*v/3 = 0. What is v?
-2, -1, 0, 2
What is o in -30*o**4 + 471*o**3 - 1995*o**2 + 2976*o - 1260 = 0?
7/10, 2, 3, 10
Let 27*q**4 + 303*q**3 + 282*q**2 - 492*q - 120 = 0. Calculate q.
-10, -2, -2/9, 1
Determine o, given that 5*o**2/2 - 12*o + 27/2 = 0.
9/5, 3
Suppose 2*t**3/13 - 8*t/13 = 0. What is t?
-2, 0, 2
Suppose -d**2/9 + 41*d/9 + 86/9 = 0. Calculate d.
-2, 43
Solve -3*q**3 + 75*q**2 + 78*q = 0.
-1, 0, 26
Factor 3*t**3 + 354*t**2 + 10080*t - 21600.
3*(t - 2)*(t + 60)**2
Find b, given that -3*b**4 + 24*b**3 + 33*b**2 - 54*b = 0.
-2, 0, 1, 9
Factor 2*i**2/13 + 228*i/13 - 230/13.
2*(i - 1)*(i + 115)/13
Factor -2*x**3 + 4008*x**2 - 2677344*x + 596155264.
-2*(x - 668)**3
Determine h, given that h**4/9 + 10*h**3/9 - h**2/3 - 140*h/9 + 196/9 = 0.
-7, 2
What is q in 2*q**5 - 106*q**4 + 1886*q**3 - 12478*q**2 + 19712*q - 9016 = 0?
1, 14, 23
Suppose -54*g**4 + 57*g**3 + 51*g**2 - 57*g + 3 = 0. What is g?
-1, 1/18, 1
Solve 2*h**5/9 - 164*h**4/9 + 3920*h**3/9 - 21740*h**2/9 - 3922*h/9 + 21904/9 = 0.
-1, 1, 8, 37
Factor -2*a**2/7 + 428*a/7 - 1266/7.
-2*(a - 211)*(a - 3)/7
Factor f**4/3 - 409*f**3/3 + 14008*f**2 - 13872*f.
f*(f - 204)**2*(f - 1)/3
Determine k so that -53*k**5/6 - 55*k**4/6 + 17*k**3/2 + 55*k**2/6 + k/3 = 0.
-1, -2/53, 0, 1
What is b in b**5 - 142*b**4 + 6261*b**3 - 81720*b**2 + 75600*b = 0?
0, 1, 21, 60
Suppose -3*a**3 + 255*a**2 + 4500*a = 0. Calculate a.
-15, 0, 100
Suppose w**4/4 - 29*w**3/4 + 26*w**2 - 25*w = 0. What is w?
0, 2, 25
Factor -4*b**2/7 + 88*b/7 - 480/7.
-4*(b - 12)*(b - 10)/7
Solve -5*h**3 + 35*h**2 - 40*h - 80 = 0 for h.
-1, 4
Factor q**4/4 + q**3 - 5*q**2/4.
q**2*(q - 1)*(q + 5)/4
Let 2*n**2 - 2358*n - 4724 = 0. What is n?
-2, 1181
Suppose 3*w**4 + 24*w**3 + 72*w**2 + 96*w + 48 = 0. Calculate w.
-2
Factor 4*l**5 - 1124*l**4 + 104904*l**3 - 3216304*l**2 - 3322336*l.
4*l*(l - 94)**3*(l + 1)
Factor -q**3/4 + 35*q**2/4 - 147*q/4 - 3087/4.
-(q - 21)**2*(q + 7)/4
Suppose -4*u**4 + 192*u**3 + 460*u**2 - 