r -5*x**4 - 250*x**3 - 3120*x**2 + 250*x + 3125.
-5*(x - 1)*(x + 1)*(x + 25)**2
Determine i, given that 2*i**2 + 498*i + 496 = 0.
-248, -1
Factor u**3 - 4*u**2 - 35*u + 150.
(u - 5)**2*(u + 6)
Factor 3585*z**2 - 6*z.
3*z*(1195*z - 2)
Find z such that 16*z**3/3 - 148*z**2 + 320*z/3 + 36 = 0.
-1/4, 1, 27
Determine t so that -2*t**2 + 112*t + 114 = 0.
-1, 57
Factor -4*m**4 - 20*m**3 + 336*m**2 - 976*m + 832.
-4*(m - 4)*(m - 2)**2*(m + 13)
Factor 9*g**3 + 705*g**2 + 13923*g + 4563.
3*(g + 39)**2*(3*g + 1)
Find b such that -4*b**2 + 92*b - 168 = 0.
2, 21
Solve -2*d**4/9 - 28*d**3/9 + 62*d**2/9 - 32*d/9 = 0 for d.
-16, 0, 1
Find q such that q**3/2 + 31*q**2/2 + 112*q - 128 = 0.
-16, 1
Determine d so that -578*d**3 + 560*d**2 + 18*d = 0.
-9/289, 0, 1
Solve -b**3/4 + 13*b**2/2 + 27*b/4 = 0 for b.
-1, 0, 27
Factor 2*f**3/3 - 112*f**2/3 + 586*f/3 + 700/3.
2*(f - 50)*(f - 7)*(f + 1)/3
Factor -3*l**2 + 24*l - 21.
-3*(l - 7)*(l - 1)
Solve -3*v**5 + 18*v**4 + 27*v**3 - 42*v**2 = 0 for v.
-2, 0, 1, 7
Factor -3*g**2/5 + 2289*g/5 - 2286/5.
-3*(g - 762)*(g - 1)/5
Solve -v**2/5 - 13918*v/5 - 48427681/5 = 0 for v.
-6959
Solve 3*g**2 + 717*g = 0 for g.
-239, 0
Suppose 2*p**2/3 - 14*p - 92/3 = 0. What is p?
-2, 23
Factor 25*y**3/3 - 30*y**2 + 32*y - 32/3.
(y - 2)*(5*y - 4)**2/3
Find q such that 2*q**4/11 - 4*q**3 + 312*q**2/11 - 756*q/11 + 486/11 = 0.
1, 3, 9
Determine r, given that -4*r**2 - 12*r + 72 = 0.
-6, 3
Factor 2*q**4/9 + 392*q**3/9 + 9604*q**2/3 + 941192*q/9 + 11529602/9.
2*(q + 49)**4/9
Factor 3*k**5 - 3*k**4 - 21*k**3 + 39*k**2 - 18*k.
3*k*(k - 2)*(k - 1)**2*(k + 3)
Find j, given that 2*j**4/9 - 2*j**3/3 - 10*j**2/3 - 34*j/9 - 4/3 = 0.
-1, 6
Factor 4*l**2 - 896*l + 50176.
4*(l - 112)**2
Factor -4*o**5 + 16*o**3 + 8*o**2 - 12*o - 8.
-4*(o - 2)*(o - 1)*(o + 1)**3
Solve -2*a**4/11 - 2*a**3/11 + 16*a**2/11 + 24*a/11 = 0.
-2, 0, 3
Suppose 3*d**5 + 18*d**4 + 36*d**3 + 24*d**2 = 0. Calculate d.
-2, 0
Factor -403*l**3/3 - 268*l**2 - 133*l + 2/3.
-(l + 1)**2*(403*l - 2)/3
Determine z, given that z**2 + 148*z + 435 = 0.
-145, -3
Suppose 3*y**2/4 - 549*y/4 - 138 = 0. What is y?
-1, 184
Factor -4*n**3 - 1692*n**2 - 3372*n - 1684.
-4*(n + 1)**2*(n + 421)
Factor -3*d**3 - 69*d**2/4 - 21*d/2 + 15/4.
-3*(d + 1)*(d + 5)*(4*d - 1)/4
Determine f, given that -f**5/3 + 16*f**4/3 - 13*f**3 - 4*f**2/3 + 52*f/3 = 0.
-1, 0, 2, 13
Factor -4*h**3/5 + 20*h**2 + 104*h/5.
-4*h*(h - 26)*(h + 1)/5
Suppose -3*n**4 + 12*n**3 - 9*n**2 - 12*n + 12 = 0. What is n?
-1, 1, 2
What is l in -84*l**3 - 848*l**2 - 2180*l - 200 = 0?
-5, -2/21
Solve 2*o**3/5 - 14*o**2 + 134*o/5 - 66/5 = 0 for o.
1, 33
Find p such that 2*p**5/11 + 116*p**4/11 + 226*p**3/11 + 112*p**2/11 = 0.
-56, -1, 0
Determine g, given that 3*g**2 + 93*g - 540 = 0.
-36, 5
Suppose c**3 - 7*c**2 - 106*c + 112 = 0. Calculate c.
-8, 1, 14
Factor -2*k**2 + 156*k - 2650.
-2*(k - 53)*(k - 25)
Find j such that -2*j**2 + 20*j = 0.
0, 10
Factor 4*a**2 + 56*a - 60.
4*(a - 1)*(a + 15)
Factor 2*x**4/19 - 284*x**3/19 - 864*x**2/19 - 868*x/19 - 290/19.
2*(x - 145)*(x + 1)**3/19
Factor d**4/5 + d**3/5 - 12*d**2/5.
d**2*(d - 3)*(d + 4)/5
Factor -5*a**3 - 345*a**2 + 4680*a - 14580.
-5*(a - 6)**2*(a + 81)
Let 4*l**3 + 112*l**2 + 212*l + 104 = 0. Calculate l.
-26, -1
Factor 3*n**3/5 + 9621*n**2/5 + 10284849*n/5 + 3664834527/5.
3*(n + 1069)**3/5
Factor -h**3 - 125*h**2 - 122*h + 248.
-(h - 1)*(h + 2)*(h + 124)
Factor 4*p**5/3 + 8*p**4/3 - 28*p**3/3 + 16*p**2/3.
4*p**2*(p - 1)**2*(p + 4)/3
Solve r**5/2 - 21*r**4/4 - 10*r**3 + 45*r**2/4 + 19*r/2 - 6 = 0 for r.
-2, -1, 1/2, 1, 12
Factor 2*z**2/7 - 10*z/7 + 12/7.
2*(z - 3)*(z - 2)/7
Factor -2*u**3 - 64*u**2 - 122*u - 60.
-2*(u + 1)**2*(u + 30)
Suppose -4*l**5 + 168*l**4 + 911*l**3 + 1347*l**2 + 749*l + 141 = 0. What is l?
-3, -1, -1/2, 47
Factor 5*w**3/4 + 10140*w**2 + 27418560*w + 24713262080.
5*(w + 2704)**3/4
Let -4*m**3 - 500*m**2/3 - 328*m/3 = 0. What is m?
-41, -2/3, 0
Factor -2*n**4/9 - 20*n**3/9 - 58*n**2/9 - 40*n/9.
-2*n*(n + 1)*(n + 4)*(n + 5)/9
Factor f**2 + 18322*f + 83923921.
(f + 9161)**2
Factor 3*z**3/5 + 27*z**2 + 1296*z/5 + 3564/5.
3*(z + 6)**2*(z + 33)/5
Solve -5*d**2 - 1910*d - 3800 = 0 for d.
-380, -2
Factor 6*l**3 - 704*l**2 + 1598*l + 1380.
2*(l - 115)*(l - 3)*(3*l + 2)
Find v such that -v**2/5 + 91*v/5 = 0.
0, 91
Let 3*a**4/2 - 105*a**3/2 + 825*a**2/2 + 105*a/2 - 414 = 0. Calculate a.
-1, 1, 12, 23
Let -36*s**5/5 - 591*s**4 + 5769*s**3/5 - 2277*s**2/5 - 753*s/5 + 252/5 = 0. What is s?
-84, -1/3, 1/4, 1
Factor 3*o**3 - 1302*o**2 + 142560*o - 279936.
3*(o - 216)**2*(o - 2)
Suppose -3*o**5/8 + 9*o**4/8 + 27*o**3/8 - 81*o**2/8 = 0. What is o?
-3, 0, 3
Let 2*m**5/13 + 8*m**4/13 + 10*m**3/13 + 4*m**2/13 = 0. What is m?
-2, -1, 0
Let -25*m**4 - 2385*m**3 + 3900*m**2 + 1940*m = 0. Calculate m.
-97, -2/5, 0, 2
Solve 8*f**3/7 - 136*f**2/7 + 578*f/7 = 0.
0, 17/2
Determine r so that r**4 + 8*r**3 - 19*r**2 - 122*r + 240 = 0.
-8, -5, 2, 3
Suppose -p**2/6 + 31*p/6 + 16/3 = 0. Calculate p.
-1, 32
Suppose -4*u**3 + 60*u**2 + 468*u - 7436 = 0. Calculate u.
-11, 13
Factor b**2/9 + 13*b/9 + 40/9.
(b + 5)*(b + 8)/9
Factor -w**3/3 + 4*w**2 + 4*w/3 - 16.
-(w - 12)*(w - 2)*(w + 2)/3
Suppose -5*p**3 + 50*p**2 + 405*p - 450 = 0. Calculate p.
-6, 1, 15
Suppose 36*f**4 + 110*f**3 - 210*f**2 - 300*f - 16 = 0. Calculate f.
-4, -1, -1/18, 2
Factor 2*l**3 - 1350*l**2 + 303750*l - 22781250.
2*(l - 225)**3
Factor 2*f**4/15 - 22*f**3/15 + 16*f**2/5.
2*f**2*(f - 8)*(f - 3)/15
Suppose -g**3/8 - 23*g**2/8 + 533*g/8 + 555/8 = 0. Calculate g.
-37, -1, 15
What is o in -9*o**5 - 3*o**4 + 81*o**3 + 63*o**2 - 96*o - 36 = 0?
-2, -1/3, 1, 3
Determine o, given that 5*o**5 + 4000*o**4 + 1200000*o**3 + 160000000*o**2 + 8000000000*o = 0.
-200, 0
Factor -g**2/4 - 11*g/2 + 23/4.
-(g - 1)*(g + 23)/4
What is f in f**4/8 - 17*f**3/8 + 59*f**2/8 + 17*f/8 - 15/2 = 0?
-1, 1, 5, 12
What is r in 4*r**2 - 100*r + 184 = 0?
2, 23
Factor 2*x**5 - 8*x**4 - 30*x**3 + 36*x**2.
2*x**2*(x - 6)*(x - 1)*(x + 3)
Factor 2167362*y**2/5 + 8328*y/5 + 8/5.
2*(1041*y + 2)**2/5
Suppose y**5/3 + 4*y**4 + 56*y**3/3 + 128*y**2/3 + 48*y + 64/3 = 0. Calculate y.
-4, -2
Factor r**4 - 41*r**3 + 440*r**2 - 400*r.
r*(r - 20)**2*(r - 1)
Suppose 2*p**3/15 + 64*p**2/3 + 634*p/15 + 316/15 = 0. What is p?
-158, -1
Factor -2*t**2 + 21676*t - 58731122.
-2*(t - 5419)**2
Determine t so that 5*t**2/3 - 2425*t/3 - 4870/3 = 0.
-2, 487
Let -344*b**3/3 - 228*b**2 + 8*b/3 = 0. What is b?
-2, 0, 1/86
Let -5*d**3 - 45*d**2 - 70*d = 0. What is d?
-7, -2, 0
Let 3*d**4/7 - 57*d**3/7 - 123*d**2/7 - 9*d = 0. Calculate d.
-1, 0, 21
What is b in 3*b**4 - 11*b**3 - 17*b**2/3 + 7*b - 4/3 = 0?
-1, 1/3, 4
What is r in r**3 + 9*r**2 + 14*r - 24 = 0?
-6, -4, 1
Factor -4*a**2/3 - 4*a + 160/3.
-4*(a - 5)*(a + 8)/3
Suppose -2*t**3/5 + 54*t**2/5 + 258*t/5 - 62 = 0. What is t?
-5, 1, 31
Factor 3*n**2/7 + 240*n/7 - 144.
3*(n - 4)*(n + 84)/7
Determine t so that -4*t**2 + 236*t + 4440 = 0.
-15, 74
Suppose -2*r**3 + 108*r**2 - 1344*r - 3136 = 0. Calculate r.
-2, 28
Find o such that 2*o**3 - 98*o**2 + 830*o - 1950 = 0.
5, 39
Factor 2*b**2 + 280*b + 2112.
2*(b + 8)*(b + 132)
Solve 3*i**5 + 15*i**4 - 27*i**3 - 51*i**2 + 24*i + 36 = 0.
-6, -1, 1, 2
Find k such that 3*k**2 + 123*k - 540 = 0.
-45, 4
Determine k, given that -18*k**3 - 105*k**2 + 18*k = 0.
-6, 0, 1/6
Factor -c**3/7 + 631*c**2/7 - 14265*c + 14175.
-(c - 315)**2*(c - 1)/7
Solve -d**4/5 + 247*d**3/5 - 15612*d**2/5 + 43676*d/5 + 59536/5 = 0 for d.
-1, 4, 122
Let o**2/2 + 4738*o + 11224322 = 0. What is o?
-4738
Suppose 5*p**4 + 85*p**3 + 425*p**2 + 795*p + 450 = 0. Calculate p.
-10, -3, -1
Let -t**4/3 + 49*t**3/3 - 16*t**2 = 0. Calculate t.
0, 1, 48
Suppose -a**4 + 24*a**3 - 167*a**2 + 276*a + 468 = 0. What is a?
-1, 6, 13
Factor -a**2 + 26*a - 169.
-(a - 13)**2
Find q, given that -24*q**3 - 21*q**2 + 51*q - 6 = 0.
-2, 1/8, 1
Factor z**2/3 + 7*z/3 - 10.
(z - 3)*(z + 10)/3
Let l**4 - 8*l**3 + 13*l**2 - 6*l = 0. Calculate l.
0, 1, 6
Factor 3*g**2/4 + 2865*g/2 + 2736075/4.
3*(g + 955)**2/4
Solve h**4/4 - h**3 - 3*h**2/4 + 5*h/2 + 2 = 0 for h.
-1, 2, 4
Factor 3*v**3/5 - 54*v**2/5 - 117*v/5 - 12.
3*(v - 20)*(v + 1)**2/5
Find l such that l**4/4 - 11*l**3/4 = 0.
0, 11
Let 3*o**3/2 + 3*o**2/2 - 6*o - 6 = 0. Calculate o.
-2, -1, 2
Factor 4*i**4 - 68*i**3 -