 2)*(b - 1)*(b + 27)
Suppose g**3 - 8*g**2 + 11*g + 20 = 0. What is g?
-1, 4, 5
Solve 2*q**3/13 + 6*q**2/13 - 50*q/13 + 42/13 = 0 for q.
-7, 1, 3
Factor c**5/3 + 6*c**4 + 33*c**3 + 18*c**2 - 324*c - 648.
(c - 3)*(c + 3)*(c + 6)**3/3
Factor -b**3 + 640*b**2 + 1283*b + 642.
-(b - 642)*(b + 1)**2
Factor 49*n**3/10 - 203*n**2/5 + 368*n/5 - 192/5.
(n - 6)*(7*n - 8)**2/10
Determine z, given that -3*z**4 - 45*z**3 - 207*z**2 - 291*z - 126 = 0.
-7, -6, -1
Suppose 4*y**3 + 76*y**2 = 0. What is y?
-19, 0
Factor 1628*o**3 - 4*o**2 - 1628*o + 4.
4*(o - 1)*(o + 1)*(407*o - 1)
What is y in -3*y**5/4 - 3*y**4 + 111*y**3/4 - 51*y**2 + 27*y = 0?
-9, 0, 1, 2
Let -2*x**3/5 - 32*x**2/5 + 2*x/5 + 32/5 = 0. Calculate x.
-16, -1, 1
Solve -b**5 + 46*b**4 - 44*b**3 - 46*b**2 + 45*b = 0.
-1, 0, 1, 45
What is i in -1764*i**2 + 9240*i - 12100 = 0?
55/21
Factor 5*v**3 - 85*v**2 - 1270*v - 2160.
5*(v - 27)*(v + 2)*(v + 8)
Suppose -2*c**3/9 + 1174*c**2/9 = 0. Calculate c.
0, 587
Solve -b**3/2 + 12*b**2 - 117*b/2 - 169 = 0.
-2, 13
Factor 2*p**2/7 - 4*p/7 - 16/7.
2*(p - 4)*(p + 2)/7
Find u such that -2*u**4/7 + 6*u**3/7 - 4*u**2/7 = 0.
0, 1, 2
Factor -4*i**3/5 + 76*i**2/5 - 40*i + 128/5.
-4*(i - 16)*(i - 2)*(i - 1)/5
Let -4*w**5 - 8*w**4 + 8*w**3 + 32*w**2 + 28*w + 8 = 0. What is w?
-1, 2
What is d in -175*d**2 - 10*d = 0?
-2/35, 0
Solve -9*o**2 + 13435*o + 2986 = 0.
-2/9, 1493
Factor 4*k**2/9 - 1800*k + 1822500.
4*(k - 2025)**2/9
Factor 3*m**2/5 + 27*m/5 + 24/5.
3*(m + 1)*(m + 8)/5
Factor g**4/6 - 28*g**3 + 3443*g**2/3 + 2380*g + 7225/6.
(g - 85)**2*(g + 1)**2/6
Find u, given that 2*u**2 + 1192*u - 1194 = 0.
-597, 1
Factor 4*b**3 - 200*b**2 - 852*b - 648.
4*(b - 54)*(b + 1)*(b + 3)
Factor 30*t**4/11 - 168*t**3/11 - 72*t**2/11.
6*t**2*(t - 6)*(5*t + 2)/11
Suppose -5*g**2 - 2605*g - 2600 = 0. What is g?
-520, -1
Suppose 5*o**5 - 70*o**4 + 330*o**3 - 540*o**2 - 135*o + 810 = 0. Calculate o.
-1, 3, 6
Factor 21*m**5/2 - 51*m**4/2 + 27*m**3/2 + 15*m**2/2 - 6*m.
3*m*(m - 1)**3*(7*m + 4)/2
Suppose 2*a**5/13 + 16*a**4/13 - 42*a**3/13 - 16*a**2/13 + 40*a/13 = 0. Calculate a.
-10, -1, 0, 1, 2
Let -2*y**2/7 + 248*y + 3480/7 = 0. What is y?
-2, 870
Find t, given that -4*t**5 + 62*t**4/5 - 42*t**3/5 - 8*t**2/5 + 8*t/5 = 0.
-2/5, 0, 1/2, 1, 2
Suppose -2*h**5 - 158*h**4 - 3036*h**3 + 3520*h**2 + 6400*h = 0. Calculate h.
-40, -1, 0, 2
Let 5*i**4 + 25*i**3 - 85*i**2 - 105*i = 0. Calculate i.
-7, -1, 0, 3
What is u in 5*u**2 + 475*u + 1380 = 0?
-92, -3
Factor 2*n**4 - 804*n**3 + 802*n**2.
2*n**2*(n - 401)*(n - 1)
Suppose -m**4/6 - 3*m**3/2 + 5*m**2/3 = 0. Calculate m.
-10, 0, 1
Solve -5*r**5 - 575*r**4 - 16810*r**3 - 15670*r**2 + 16815*r + 16245 = 0 for r.
-57, -1, 1
Factor -3*v**2/4 + 75*v/4 + 741/2.
-3*(v - 38)*(v + 13)/4
Factor 2*d**3 - 22*d**2 + 56*d.
2*d*(d - 7)*(d - 4)
Factor 4*n**2 + 552*n + 2660.
4*(n + 5)*(n + 133)
Factor 20*d**3/7 - 508*d**2/7 + 488*d/7.
4*d*(d - 1)*(5*d - 122)/7
Determine q so that -2*q**2 + 110*q + 112 = 0.
-1, 56
Factor 6*f**4/5 - 142*f**3/5 + 92*f**2/5.
2*f**2*(f - 23)*(3*f - 2)/5
Factor 3*d**3/10 - 17*d**2/10 - 3*d/10 + 17/10.
(d - 1)*(d + 1)*(3*d - 17)/10
Find s, given that -5*s**4 - 135*s**3 + 750*s**2 + 32000*s + 60000 = 0.
-20, -2, 15
Let -3*t**2 + 987*t - 2934 = 0. What is t?
3, 326
Let 5*u**3 + 15*u**2 + 10*u = 0. Calculate u.
-2, -1, 0
Factor f**3 + 2*f**2 - 3*f.
f*(f - 1)*(f + 3)
Factor -g**3/2 - 9*g**2/2 + 21*g/2 - 11/2.
-(g - 1)**2*(g + 11)/2
Suppose 2*n**2 - 166*n - 168 = 0. What is n?
-1, 84
Factor -r**2/3 - 1646*r/3 + 549.
-(r - 1)*(r + 1647)/3
Suppose 25*z**2 + 360*z + 140 = 0. What is z?
-14, -2/5
Suppose -35*i**2 + 60*i + 20 = 0. Calculate i.
-2/7, 2
Factor 5*q**2 + 120*q - 5760.
5*(q - 24)*(q + 48)
Determine n, given that n**2/5 - 22*n/5 + 8 = 0.
2, 20
Factor -21*q**3 - 48*q**2 - 12*q.
-3*q*(q + 2)*(7*q + 2)
Solve k**4/3 + 40*k**3/3 + 463*k**2/3 + 372*k - 540 = 0 for k.
-18, -5, 1
Let r**5/6 + r**4/6 - 7*r**3/6 - 13*r**2/6 - r = 0. What is r?
-2, -1, 0, 3
Factor -3*l**2/2 + 39*l/2 - 33.
-3*(l - 11)*(l - 2)/2
Factor 4*o**3 - 2584*o**2 - 15612*o - 23472.
4*(o - 652)*(o + 3)**2
Determine l so that -5*l**2 - 5*l + 10 = 0.
-2, 1
Let -2*s**2/3 + 8*s/3 + 10/3 = 0. What is s?
-1, 5
Let -1681*l**3/2 - 32103*l**2/2 - 1560*l - 38 = 0. Calculate l.
-19, -2/41
Factor 3*r**2 + 36*r - 135.
3*(r - 3)*(r + 15)
Find m such that 2*m**2/5 + 456*m/5 + 454/5 = 0.
-227, -1
Let 2*c**3 - 32*c**2 - 110*c - 76 = 0. Calculate c.
-2, -1, 19
Factor -36*m**2 - 260*m - 56.
-4*(m + 7)*(9*m + 2)
Let 2*l**5/7 + 106*l**4/7 - 582*l**3/7 - 106*l**2/7 + 580*l/7 = 0. What is l?
-58, -1, 0, 1, 5
Find m such that 10*m**5/13 - 66*m**4/13 + 116*m**3/13 - 48*m**2/13 = 0.
0, 3/5, 2, 4
Factor -4*i**4/3 - 21452*i**3/9 - 4260208*i**2/3 - 845414080*i/3 + 846834944/9.
-4*(i + 596)**3*(3*i - 1)/9
Factor 5*h**2 + 18490*h + 17094005.
5*(h + 1849)**2
Factor 2*l**2/5 - 2534*l/5 - 10168/5.
2*(l - 1271)*(l + 4)/5
Let n**3 - 2*n**2 - 3*n = 0. What is n?
-1, 0, 3
Solve -6*m**2/11 - 14844*m/11 - 9181014/11 = 0.
-1237
Solve -5*h**3 + 490*h**2 + 1015*h - 1500 = 0 for h.
-3, 1, 100
Find k such that -4*k**3 + 1536*k**2 - 196608*k + 8388608 = 0.
128
Suppose -2*v**4/13 + 1134*v**3/13 + 5704*v**2/13 + 9144*v/13 + 352 = 0. Calculate v.
-2, -1, 572
Factor 2*i**2/11 + 260*i/11 - 262/11.
2*(i - 1)*(i + 131)/11
Suppose -i**4/2 - 38*i**3 + 209*i**2 + 530*i + 567/2 = 0. What is i?
-81, -1, 7
Let -3*n**2/8 - 159*n/8 = 0. Calculate n.
-53, 0
Solve -2*b**4/11 + 2*b**2/11 = 0.
-1, 0, 1
Factor -t**3/2 + 13*t**2/2 - 23*t + 24.
-(t - 8)*(t - 3)*(t - 2)/2
Solve 324*z**3 - 288*z**2 + 64*z = 0.
0, 4/9
Factor -2*x**4 - 20*x**3 + 246*x**2 - 720*x + 648.
-2*(x - 3)**2*(x - 2)*(x + 18)
Factor 3*p**3 + 39*p**2 + 66*p.
3*p*(p + 2)*(p + 11)
Factor -s**3/8 - 13*s**2/8 - 3*s/2.
-s*(s + 1)*(s + 12)/8
Factor -196*y**4/3 + 252*y**3 - 1093*y**2/3 + 234*y - 169/3.
-(y - 1)**2*(14*y - 13)**2/3
Factor -4*n**5/5 + 24*n**4/5 - 52*n**3/5 + 48*n**2/5 - 16*n/5.
-4*n*(n - 2)**2*(n - 1)**2/5
Solve -15*s**5 + 130*s**4 + 385*s**3 + 20*s**2 - 220*s = 0 for s.
-2, -1, 0, 2/3, 11
Find a, given that -477*a**2 + 489*a - 12 = 0.
4/159, 1
Suppose x**4 + 3*x**3 - 154*x**2 = 0. What is x?
-14, 0, 11
Let 4*z**4/5 - 24*z**3/5 - 12*z**2/5 + 64*z/5 + 48/5 = 0. Calculate z.
-1, 2, 6
Factor -3*g**3/4 - 15*g**2/4 + 33*g/2 + 42.
-3*(g - 4)*(g + 2)*(g + 7)/4
Find j such that j**4/3 + 2*j**3 + j**2/3 - 8*j + 16/3 = 0.
-4, 1
Factor -y**5 - 2*y**4 - y**3.
-y**3*(y + 1)**2
Determine n so that -n**5/4 - 2*n**4 + 51*n**3/4 + 13*n**2/2 - 32*n - 24 = 0.
-12, -1, 2, 4
Factor -20*b**2/7 - 18*b/7 + 2.
-2*(2*b - 1)*(5*b + 7)/7
Let m**3/6 - 499*m**2/6 + 31496*m/3 - 30752 = 0. Calculate m.
3, 248
Solve -21*r**3 + 5160*r**2 - 3669*r - 1470 = 0.
-2/7, 1, 245
Find v such that -2*v**5/11 + 16*v**4/11 - 34*v**3/11 - 4*v**2/11 + 48*v/11 = 0.
-1, 0, 2, 3, 4
Suppose -2*i**2/3 + 14*i/3 = 0. What is i?
0, 7
Determine h, given that 2*h**2/11 - 26*h/11 - 60/11 = 0.
-2, 15
Suppose -3*f**2 + 1905*f + 1908 = 0. What is f?
-1, 636
Let j**2/5 + 1768*j/5 + 781456/5 = 0. What is j?
-884
Factor 6*s**3/5 + 82*s**2/5 - 88*s/5.
2*s*(s - 1)*(3*s + 44)/5
Factor w**4 - 63*w**3 + 284*w**2 + 348*w.
w*(w - 58)*(w - 6)*(w + 1)
Suppose 2*l**5/5 + 6*l**4 - 284*l**3/5 + 528*l**2/5 = 0. Calculate l.
-22, 0, 3, 4
Factor -5*n**3 - 50*n**2 + 115*n - 60.
-5*(n - 1)**2*(n + 12)
Find s, given that -2*s**4/17 + 38*s**3/17 - 70*s**2/17 + 2*s = 0.
0, 1, 17
Factor -2*w**3/7 + 198*w**2/7 - 4590*w/7 - 15606/7.
-2*(w - 51)**2*(w + 3)/7
What is v in -v**3/2 - 97*v**2/2 - 186*v = 0?
-93, -4, 0
Solve -4*x**4 + 3664*x**3 - 842712*x**2 + 1674448*x - 835396 = 0.
1, 457
Determine g, given that -50*g**2 + 15*g - 9/8 = 0.
3/20
Solve 2*b**4 + 1038*b**3 + 178524*b**2 + 9991080*b - 31608144 = 0.
-174, 3
Solve 49*u**4 + 924*u**3 - 173*u**2 - 744*u + 304 = 0 for u.
-19, -1, 4/7
Let -c**3 - 1787*c**2 - 3571*c - 1785 = 0. Calculate c.
-1785, -1
Suppose -k**4/6 + 2*k**2/3 = 0. What is k?
-2, 0, 2
Solve -3*f**3/7 + 12*f/7 = 0 for f.
-2, 0, 2
Find q such that -5*q**3 + 25*q**2 - 40*q + 20 = 0.
1, 2
Factor 324*a**4 - 5112*a**3 + 19588*a**2 + 4544*a + 256.
4*(a - 8)**2*(9*a + 1)**2
Suppose y**2/10 + 1136*y + 3226240 = 0. What is y?
-5680
Factor 31*c**5/4 + 65*c**4/2 + 6*c**3.
c**3*(c + 4)*(31*c + 6)/4
Factor -5*n**2 + 25*n - 30.
-5*(n - 3)*(n - 2