*3/4 - 413*t**2/4 + 2505*t/4 - 3771/4 = 0 for t.
-419, 3
Let -2*h**4/3 + 46*h**3 = 0. What is h?
0, 69
Factor -5*p**5 - 505*p**4 - 2445*p**3 - 4355*p**2 - 3370*p - 960.
-5*(p + 1)**3*(p + 2)*(p + 96)
Determine b so that 5*b**2/4 + 975*b/2 + 190125/4 = 0.
-195
Suppose 39*q**5 - 123*q**4 - 1425*q**3 - 1065*q**2 + 3006*q - 432 = 0. What is q?
-3, 2/13, 1, 8
Factor -3*g**2 + 9*g + 12.
-3*(g - 4)*(g + 1)
Factor -3*j**2/7 + 1212*j/7.
-3*j*(j - 404)/7
Factor -5*w**4 - 75*w**3 - 245*w**2 - 285*w - 110.
-5*(w + 1)**2*(w + 2)*(w + 11)
Determine k, given that -3*k**3/8 - 21*k**2 - 159*k/2 - 78 = 0.
-52, -2
Suppose -324*m**3 + 157932*m**2 - 70144*m + 7792 = 0. What is m?
2/9, 487
Determine x, given that -27*x**4 + 282*x**3 - 3289*x**2/3 + 1880*x - 1200 = 0.
20/9, 3
Determine l so that -10*l**5 - 116*l**4 + 1038*l**3 - 2016*l**2 + 648*l = 0.
-18, 0, 2/5, 3
Factor 8*d**4 - 18*d**3 - 69*d**2 - 52*d - 9.
(d + 1)**2*(2*d - 9)*(4*d + 1)
Find k, given that -k**2/2 + 9*k/2 = 0.
0, 9
Find s such that 8978*s**3/11 + 9782*s**2/11 + 822*s/11 + 18/11 = 0.
-1, -3/67
Factor q**3/5 + 34*q**2 + 7052*q/5 - 14792/5.
(q - 2)*(q + 86)**2/5
Suppose -q**4/3 - 2*q**3 + q**2/3 + 2*q = 0. Calculate q.
-6, -1, 0, 1
Factor 3*k**3/2 + 213*k**2/2 + 2433*k/2 + 2223/2.
3*(k + 1)*(k + 13)*(k + 57)/2
Solve 2*s**2/9 - 20*s/9 + 16/3 = 0 for s.
4, 6
What is q in -3*q**4 + 24*q**3 + 405*q**2 + 918*q = 0?
-6, -3, 0, 17
Suppose h**2 - 9*h + 8 = 0. What is h?
1, 8
Find l such that l**2/4 + 7*l/4 - 15/2 = 0.
-10, 3
Factor a**3 - 27*a**2 - 120*a - 124.
(a - 31)*(a + 2)**2
Find f such that -4*f**4 - 40*f**3 - 68*f**2 + 112*f = 0.
-7, -4, 0, 1
Factor 3*q**3 + 12*q**2 - 9*q - 54.
3*(q - 2)*(q + 3)**2
Factor 1470*a**2 - 406*a - 4.
2*(7*a - 2)*(105*a + 1)
Solve 5202*q**2 - 4080*q + 800 = 0 for q.
20/51
Let 2*k**4/5 - 54*k**3 + 9242*k**2/5 - 8442*k/5 - 17956/5 = 0. Calculate k.
-1, 2, 67
Let -8*w**4/7 + 20*w**3/7 + 44*w**2/7 + 16*w/7 = 0. Calculate w.
-1, -1/2, 0, 4
Let -4*k**2 - 1460*k = 0. Calculate k.
-365, 0
Determine k, given that -2*k**3 - 28*k**2 + 202*k + 228 = 0.
-19, -1, 6
Suppose o**3/2 - 283*o**2/2 + 140*o + 282 = 0. What is o?
-1, 2, 282
Factor 5*g**3 + 4935*g**2 - 4940*g.
5*g*(g - 1)*(g + 988)
Factor 4*g**4 + 28*g**3 + 40*g**2.
4*g**2*(g + 2)*(g + 5)
Find v such that 5*v**3 - 1630*v**2 + 134460*v - 262440 = 0.
2, 162
Factor 2*h**2/7 - 1428*h + 1784286.
2*(h - 2499)**2/7
Find u, given that -u**2 + 9162*u - 20985561 = 0.
4581
Factor -3*z**3/5 - 48*z**2/5.
-3*z**2*(z + 16)/5
Factor 15*x**3 + 28*x**2 + 11*x - 2.
(x + 1)**2*(15*x - 2)
Factor c**2/4 - 85*c + 169.
(c - 338)*(c - 2)/4
Determine l so that 2*l**2/13 + 5400*l/13 + 3645000/13 = 0.
-1350
Factor -4*z**2 + 9368*z - 5484964.
-4*(z - 1171)**2
Suppose -5*i**2 + 1250*i - 78125 = 0. What is i?
125
Determine u so that -u**2/6 + 38*u/3 - 25/2 = 0.
1, 75
Suppose -21*t**3/2 - 585*t**2/8 - 459*t/4 + 39 = 0. Calculate t.
-4, -13/4, 2/7
Factor 4*r**2 - 232*r + 448.
4*(r - 56)*(r - 2)
Solve -u**4/4 + u**3/2 + 15*u**2/4 = 0 for u.
-3, 0, 5
Suppose -5*z**3 + 18*z**2 - 12*z - 8 = 0. Calculate z.
-2/5, 2
Factor 22*n**3/9 - 106*n**2/9 - 152*n/9 - 8/3.
2*(n - 6)*(n + 1)*(11*n + 2)/9
Find m such that -2*m**4/19 + 1830*m**3/19 - 21984*m**2 - 419528*m/19 = 0.
-1, 0, 458
What is p in -4*p**2 + 264*p - 512 = 0?
2, 64
Factor -2*b**3/11 - 28*b**2/11 - 120*b/11 - 144/11.
-2*(b + 2)*(b + 6)**2/11
Factor 2*s**3/3 + 52*s**2/3 + 338*s/3.
2*s*(s + 13)**2/3
Factor -7*o**2/8 - 11*o/8 + 15/4.
-(o + 3)*(7*o - 10)/8
Find g such that g**3 - 139*g**2 + 274*g = 0.
0, 2, 137
Determine d so that -4*d**3 + 4*d**2 + 148*d + 140 = 0.
-5, -1, 7
Factor 2*i**3/13 - 30*i**2/13 - 32*i/13.
2*i*(i - 16)*(i + 1)/13
Factor -5*n**3 + 710*n**2 - 705*n.
-5*n*(n - 141)*(n - 1)
Suppose 9*q**3 - 3873*q**2 + 1290*q = 0. What is q?
0, 1/3, 430
What is p in p**4/6 - 19*p**3/6 - 25*p**2/6 + 103*p/6 - 10 = 0?
-3, 1, 20
Factor -6*x**3/5 - x**2/10.
-x**2*(12*x + 1)/10
Determine o so that 10*o**4 + 575*o**3 - 885*o**2 + 5*o + 295 = 0.
-59, -1/2, 1
Factor 5*y**3/2 - 70*y**2 - 625*y/2 - 240.
5*(y - 32)*(y + 1)*(y + 3)/2
Factor -2*b**2/5 + 284*b/5 - 112.
-2*(b - 140)*(b - 2)/5
Factor -5*y**5 + 50*y**3 + 100*y**2 + 75*y + 20.
-5*(y - 4)*(y + 1)**4
Factor -8*h**2 - 220*h - 1148.
-4*(h + 7)*(2*h + 41)
What is n in -6*n**3 + 28*n**2 - 14*n - 8 = 0?
-1/3, 1, 4
What is c in -2*c**3/7 - 6*c**2/7 + 48*c/7 + 160/7 = 0?
-4, 5
Solve -2*x**5 + 86*x**4 - 78*x**3 - 254*x**2 + 80*x + 168 = 0 for x.
-1, 1, 2, 42
Factor -3*q**3 + 3*q.
-3*q*(q - 1)*(q + 1)
Factor -b**5 - 52*b**4 - 870*b**3 - 4788*b**2 - 3969*b.
-b*(b + 1)*(b + 9)*(b + 21)**2
Factor 63*j**3/2 + 22*j**2 - 59*j/6 - 1/3.
(j + 1)*(3*j - 1)*(63*j + 2)/6
Factor -2*b**3 + 21*b**2 + 38*b - 24.
-(b - 12)*(b + 2)*(2*b - 1)
Factor -2*k**4 + 24*k**2 - 32*k.
-2*k*(k - 2)**2*(k + 4)
Determine h, given that h**2 - 7*h - 30 = 0.
-3, 10
Let -2*p**5/5 - 42*p**4/5 - 36*p**3/5 + 16*p**2 = 0. What is p?
-20, -2, 0, 1
What is c in -4*c**2/3 - 104*c - 2028 = 0?
-39
Factor 4*s**4/5 - 20*s**3 + 272*s**2/5 - 176*s/5.
4*s*(s - 22)*(s - 2)*(s - 1)/5
Factor 4*n**2 + 23400*n + 34222500.
4*(n + 2925)**2
Suppose -c**4/3 + 13*c**3/3 + 19*c**2 - 149*c/3 + 80/3 = 0. What is c?
-5, 1, 16
Solve -80*k**5 - 2*k**4 = 0.
-1/40, 0
Find b, given that b**2/4 - b/2 - 6 = 0.
-4, 6
Factor -3*c**2 + 147*c - 144.
-3*(c - 48)*(c - 1)
Suppose 25*n**5 + 5*n**4 - 75*n**3 - 65*n**2 - 10*n = 0. What is n?
-1, -1/5, 0, 2
What is s in 2*s**3/9 - 10*s**2 + 352*s/3 - 968/9 = 0?
1, 22
Factor -26037*n**2/4 - 1200*n - 3.
-3*(11*n + 2)*(789*n + 2)/4
Suppose -t**2/4 + 507*t/4 - 1255/2 = 0. Calculate t.
5, 502
Let -125*d**3/3 - 4025*d**2/3 + 3280*d/3 - 220 = 0. What is d?
-33, 2/5
Factor -3*p**4 - 114*p**3 - 513*p**2 - 594*p.
-3*p*(p + 2)*(p + 3)*(p + 33)
Factor 1944*u**3 + 3168*u**2 + 1230*u - 50.
2*(6*u + 5)**2*(27*u - 1)
Factor 4*b**4 - 4*b**3 - 48*b**2 - 16*b + 64.
4*(b - 4)*(b - 1)*(b + 2)**2
Solve -s**5/4 + s**4/2 + 17*s**3/4 - 17*s**2/2 - 4*s + 8 = 0.
-4, -1, 1, 2, 4
Factor 3*s**3/5 + 219*s**2 + 100464*s/5 + 99372/5.
3*(s + 1)*(s + 182)**2/5
Let -9*w**3/5 - 354*w**2/5 - 87*w/5 + 234 = 0. Calculate w.
-39, -2, 5/3
Factor f**2 + 1349*f - 1350.
(f - 1)*(f + 1350)
Find p, given that 12*p**3/11 - 10*p**2/11 - 74*p/11 - 12/11 = 0.
-2, -1/6, 3
Solve -2*f**3 + 14*f**2 + 120*f = 0 for f.
-5, 0, 12
Solve 2*i**5/9 - 2*i**4/9 - 26*i**3/9 + 26*i**2/9 + 8*i - 8 = 0.
-3, -2, 1, 2, 3
Let 5*r**5 - 35*r**4 + 50*r**3 + 10*r**2 - 55*r + 25 = 0. Calculate r.
-1, 1, 5
Suppose 2*j**2/7 + 26*j/7 - 180/7 = 0. What is j?
-18, 5
Let -25*d**2 + 320*d - 1024 = 0. What is d?
32/5
Find c such that -2*c**5/15 + 4*c**4/3 + 6*c**3 - 28*c**2/3 - 208*c/15 = 0.
-4, -1, 0, 2, 13
Solve -4*w**3 + 288*w**2 - 5460*w + 9800 = 0.
2, 35
What is b in -b**2/7 + 263*b/7 - 262/7 = 0?
1, 262
Factor v**3/3 - 43*v**2/3 + 102*v.
v*(v - 34)*(v - 9)/3
Solve k**5/8 - 9*k**4/8 - 101*k**3/8 + 477*k**2/8 - 155*k/2 + 63/2 = 0 for k.
-9, 1, 2, 14
Solve 2*l**3/17 + 66*l**2/17 + 64*l/17 = 0.
-32, -1, 0
Determine f so that 2*f**4/9 + 14*f**3/9 - 2*f**2/9 - 14*f/9 = 0.
-7, -1, 0, 1
Factor 4*j**3 + 1744*j**2 + 186560*j - 774400.
4*(j - 4)*(j + 220)**2
Suppose l**2 - 12*l + 36 = 0. Calculate l.
6
Let -2*d**3 + 726*d**2 - 87846*d + 3543122 = 0. Calculate d.
121
Suppose -m**2/3 - 130*m/3 - 4225/3 = 0. Calculate m.
-65
Suppose 2*j**2 - 80*j - 168 = 0. What is j?
-2, 42
Solve 14*p**3/9 - 176*p**2/3 + 856*p/9 + 32 = 0 for p.
-2/7, 2, 36
Suppose 1545282*j**3/7 - 7032*j**2/7 + 8*j/7 = 0. Calculate j.
0, 2/879
Find k such that -4*k**2/9 - 4*k/3 + 112/9 = 0.
-7, 4
Factor 5*w**2/2 - 83*w/2.
w*(5*w - 83)/2
Factor -5*g**4 - 90*g**3 + 5*g**2 + 90*g.
-5*g*(g - 1)*(g + 1)*(g + 18)
Suppose s**5/4 - 7*s**4/4 + 5*s**3/4 + 7*s**2/4 - 3*s/2 = 0. What is s?
-1, 0, 1, 6
Solve 2*x**5/7 + 6*x**4/7 - 10*x**3/7 - 54*x**2/7 - 64*x/7 - 24/7 = 0.
-2, -1, 3
Find y such that -3*y**2 - 14118*y - 16609827 = 0.
-2353
Factor n**4/5 + 8*n**3/5 - 4*n**2.
n**2*(n - 2)*(n + 10)/5
Factor -3*s**4 - 21*s**3 + 198*s**2 - 444*s + 312.
-3*(s - 2)**3*(s + 13)
What is x in 49*x**5/4 - 2569*x**4/4 + 9839*x**3/4 + 699949*x**2/4 + 99330*x + 14157 = 0?
-13, -2/7, 33
Determine u so that -u**4/4 + 25*u**3/4 + 27*u**2/2 = 0.
-2, 0, 27
Factor -215*j**3 + 10*j**2.
-5*j**2*(43*j - 2)
Factor -d**2/12 + 1493*d/4 - 2239/6.
-(d - 4478)*