t -69*j**2 - 48*j + 180 = 0. What is j?
-2, 30/23
Solve q**3/6 - 8*q**2/3 + 40*q/3 - 64/3 = 0.
4, 8
Find w such that 2*w**4 - 128*w**3 + 1628*w**2 + 13440*w + 22050 = 0.
-3, 35
Factor -5*s**2/2 + 715*s - 102245/2.
-5*(s - 143)**2/2
Suppose 9*b**5 - 102*b**4 + 277*b**3 - 316*b**2 + 164*b - 32 = 0. Calculate b.
2/3, 1, 8
What is d in 4*d**4/3 + 4*d**3/3 - 28*d**2/3 - 52*d/3 - 8 = 0?
-2, -1, 3
Solve -5*m**4 - 260*m**3 - 3110*m**2 + 7020*m - 3645 = 0 for m.
-27, 1
Factor n**5/8 + n**4/8 - 3*n**3/8 - n**2/8 + n/4.
n*(n - 1)**2*(n + 1)*(n + 2)/8
Factor -6*p**3/7 - 58*p**2/21 - 4*p/7.
-2*p*(p + 3)*(9*p + 2)/21
Determine h, given that -498436*h**2 + 5648*h - 16 = 0.
2/353
Find u, given that 3*u**5 - 66*u**4 + 291*u**3 + 792*u**2 + 432*u = 0.
-1, 0, 12
Factor -3*b**3 + 2556*b**2 - 541863*b - 1093974.
-3*(b - 427)**2*(b + 2)
Let 20*a**4/7 + 52*a**3/7 - 212*a**2 + 3884*a/7 - 1320/7 = 0. What is a?
-11, 2/5, 3, 5
Find t such that 2*t**4 - 4*t**3 - 30*t**2 - 8*t + 40 = 0.
-2, 1, 5
Factor -5*n**2/2 - 237*n/2 - 47.
-(n + 47)*(5*n + 2)/2
Find n, given that -5*n**2 - 7*n - 2 = 0.
-1, -2/5
Suppose 4*t**3 + 112*t**2 - 5092*t - 5200 = 0. What is t?
-52, -1, 25
Determine p so that -p**3 - 7*p**2 - 14*p - 8 = 0.
-4, -2, -1
Solve 5*s**5 + 10*s**4 - 75*s**3 - 180*s**2 = 0 for s.
-3, 0, 4
Factor -3*p**2/10 - 19*p/10 + 4.
-(p + 8)*(3*p - 5)/10
Factor 3*m**4/5 + 42*m**3/5 + 21*m**2 + 66*m/5.
3*m*(m + 1)*(m + 2)*(m + 11)/5
Factor -b**4 - 7*b**3 + 22*b**2 + 28*b - 72.
-(b - 2)**2*(b + 2)*(b + 9)
Factor 2*j**2/7 - 104*j/7 - 1240/7.
2*(j - 62)*(j + 10)/7
Suppose -4*h**3 - 40*h**2 + 52*h + 88 = 0. Calculate h.
-11, -1, 2
Factor u**5 - 8*u**4 + 12*u**3 + 2*u**2 - 13*u + 6.
(u - 6)*(u - 1)**3*(u + 1)
Let 3*d**3 - 471*d**2 + 468*d = 0. Calculate d.
0, 1, 156
Determine t, given that 7*t**5/4 - 23*t**4/4 - 9*t**3 + 17*t**2 - 4*t = 0.
-2, 0, 2/7, 1, 4
Find d such that 9*d**4 + 24*d**3 + 12*d**2 = 0.
-2, -2/3, 0
Solve 2*o**2/3 - 22*o/3 + 20 = 0 for o.
5, 6
Determine c so that -c**4 + 5*c**3 - 7*c**2 + 3*c = 0.
0, 1, 3
Let j**3/4 - 1895*j**2/4 + 224202*j + 224676 = 0. Calculate j.
-1, 948
Factor -3*g**4 + 24*g**3 - 39*g**2 + 18*g.
-3*g*(g - 6)*(g - 1)**2
Determine h, given that -h**5/5 - 11*h**4/5 + 8*h**3/5 + 196*h**2/5 - 448*h/5 + 256/5 = 0.
-8, 1, 2
Factor 4*h**4 - 1036*h**3 - 1064*h**2 + 6240*h.
4*h*(h - 260)*(h - 2)*(h + 3)
Factor -2*w**2/7 - 10*w/7 + 12/7.
-2*(w - 1)*(w + 6)/7
Factor -918*c**2/5 + 2742*c/5 + 36/5.
-6*(c - 3)*(153*c + 2)/5
Find o, given that 5*o**3 + 735*o**2 + 27375*o + 26645 = 0.
-73, -1
Suppose -b**5/5 + 9*b**4/5 - 26*b**3/5 + 34*b**2/5 - 21*b/5 + 1 = 0. What is b?
1, 5
Factor -5*b**5 + 610*b**4 - 19205*b**3 + 36600*b**2 - 18000*b.
-5*b*(b - 60)**2*(b - 1)**2
Determine o so that -14*o**5/3 + 4*o**4 + 28*o**3/3 - 8*o**2 - 14*o/3 + 4 = 0.
-1, 6/7, 1
Find b such that 3*b**2/5 + 417*b/5 - 846/5 = 0.
-141, 2
Factor 2*b**3/13 + 196*b**2/13 + 2234*b/13 + 2040/13.
2*(b + 1)*(b + 12)*(b + 85)/13
Determine s so that -s**4/3 - 2*s**3/3 + s**2 + 4*s/3 - 4/3 = 0.
-2, 1
Let -3*j**4 + 174*j**3 - 2847*j**2 + 9396*j - 8748 = 0. Calculate j.
2, 27
Factor 3*m**2 + 45*m + 162.
3*(m + 6)*(m + 9)
Solve l**2/3 - l/3 - 4 = 0 for l.
-3, 4
Suppose -x**5/2 + 3*x**4/2 + 45*x**3 - 119*x**2 - 729*x/2 - 405/2 = 0. What is x?
-9, -1, 5, 9
Factor k**2 + 790*k + 156025.
(k + 395)**2
Determine y, given that y**4 + 4*y**3 - 3*y**2 - 10*y + 8 = 0.
-4, -2, 1
Solve q**3/5 + 42*q**2/5 + 216*q/5 = 0 for q.
-36, -6, 0
Let -24*c**5 - 30*c**4 + 237*c**3 + 519*c**2 + 192*c - 84 = 0. Calculate c.
-2, -1, 1/4, 7/2
Factor 2*j**2 + 60*j - 128.
2*(j - 2)*(j + 32)
What is t in -5*t**4 - 1180*t**3 + 5*t**2 + 1180*t = 0?
-236, -1, 0, 1
Factor -t**3/8 - 51*t**2/8 + 333*t/8 - 513/8.
-(t - 3)**2*(t + 57)/8
Factor 2*y**3/11 - 326*y**2/11 + 646*y/11 - 322/11.
2*(y - 161)*(y - 1)**2/11
Determine d, given that 2*d**5/13 + 24*d**4/13 - 8*d**3/13 - 580*d**2/13 - 1050*d/13 - 500/13 = 0.
-10, -5, -1, 5
Find u such that -22*u**2/3 + 62*u/3 + 4 = 0.
-2/11, 3
Determine r, given that -3*r**3 + 6669*r**2 - 4941729*r + 1220607063 = 0.
741
Factor -5*m**3 - 160*m**2 + 525*m.
-5*m*(m - 3)*(m + 35)
Let o**2/2 - 36*o + 648 = 0. Calculate o.
36
Factor -f**4 - 13*f**3 - 32*f**2 - 20*f.
-f*(f + 1)*(f + 2)*(f + 10)
Factor -3*w**3 + 45*w**2 - 132*w - 180.
-3*(w - 10)*(w - 6)*(w + 1)
Suppose 8*b**2 + 92*b + 44 = 0. What is b?
-11, -1/2
Factor -2*i**3/5 - 32*i**2/5 + 2*i/5 + 32/5.
-2*(i - 1)*(i + 1)*(i + 16)/5
Factor 4*t**5 + 8*t**4 - 68*t**3 - 280*t**2 - 368*t - 160.
4*(t - 5)*(t + 1)*(t + 2)**3
Suppose -3*o**3/2 - 85*o**2/2 + 767*o - 492 = 0. Calculate o.
-41, 2/3, 12
Factor -5*n**4 + 385*n**3 - 6810*n**2 - 23200*n - 16000.
-5*(n - 40)**2*(n + 1)*(n + 2)
Let 2*d**3/3 + 28*d**2/3 + 32*d = 0. What is d?
-8, -6, 0
Factor -2*z**4/11 - 16*z**3 - 3692*z**2/11 + 720*z - 4050/11.
-2*(z - 1)**2*(z + 45)**2/11
Find q, given that -45*q**2/4 - 3*q/2 = 0.
-2/15, 0
Solve c**2/4 - 31*c/2 + 961/4 = 0.
31
Factor 3*m**3/5 + 1893*m**2/5 + 297672*m/5 - 299568/5.
3*(m - 1)*(m + 316)**2/5
Determine x so that -2*x**3/7 - 32*x**2/7 - 30*x/7 = 0.
-15, -1, 0
Factor w**3/4 - 27*w**2/4 + 51*w/4 - 25/4.
(w - 25)*(w - 1)**2/4
Let 7*z**5 + 44*z**4 + 68*z**3 - 26*z**2 - 75*z - 18 = 0. Calculate z.
-3, -1, -2/7, 1
Let -5*q**3 + 1645*q**2 + 5*q - 1645 = 0. What is q?
-1, 1, 329
Suppose r**4/3 + 62*r**3/3 + 989*r**2/3 + 928*r/3 = 0. Calculate r.
-32, -29, -1, 0
Factor t**4 - 30*t**3 - 36*t**2 + 158*t - 93.
(t - 31)*(t - 1)**2*(t + 3)
Find v, given that v**2 + 62*v + 961 = 0.
-31
Find o, given that -5*o**4 - 1685*o**3 - 3335*o**2 + 5025*o = 0.
-335, -3, 0, 1
Determine t so that -3*t**5/7 - 3*t**4/7 + 9*t**3/7 + 3*t**2/7 - 6*t/7 = 0.
-2, -1, 0, 1
Factor 4*d**4/5 - 2*d**3/3 - 2*d**2/15.
2*d**2*(d - 1)*(6*d + 1)/15
Determine l so that -6*l**3/11 + 2922*l**2/11 - 2916*l/11 = 0.
0, 1, 486
Factor -3*r**2/2 - 249*r - 495/2.
-3*(r + 1)*(r + 165)/2
Let 5*c**3 + 410*c**2 - 835*c + 420 = 0. Calculate c.
-84, 1
Factor -2*p**4 + 24*p**2 + 32*p.
-2*p*(p - 4)*(p + 2)**2
Factor 289*h**2/4 + 833*h/2 + 2401/4.
(17*h + 49)**2/4
Factor -3*h**2 + 327*h + 330.
-3*(h - 110)*(h + 1)
Factor -k**2/5 - 9*k.
-k*(k + 45)/5
Factor -3*l**2/7 + 1140*l - 758100.
-3*(l - 1330)**2/7
Let 5*n**4 - 93*n**3 - 141*n**2 + 6877*n - 4056 = 0. Calculate n.
-8, 3/5, 13
What is l in 2*l**3 + 1948*l**2 - 7816*l + 7824 = 0?
-978, 2
Factor 2*c**2/5 + 32*c.
2*c*(c + 80)/5
Factor -k**4 + 19*k**3 - 65*k**2 + 77*k - 30.
-(k - 15)*(k - 2)*(k - 1)**2
Solve -4*h**4 + 136*h**3 - 1012*h**2 - 2448*h - 1296 = 0.
-1, 18
Let 2*v**3/17 - 210*v**2/17 + 342*v - 918 = 0. What is v?
3, 51
Factor -15*x**3 - 50*x**2 + 45*x + 20.
-5*(x - 1)*(x + 4)*(3*x + 1)
Suppose 3*l**5/7 + 6*l**4/7 + 3*l**3/7 = 0. What is l?
-1, 0
Suppose -14*o**3/15 - 2432*o**2/15 + 542*o - 708/5 = 0. Calculate o.
-177, 2/7, 3
Factor c**5 - 10*c**4 - 87*c**3 - 144*c**2.
c**2*(c - 16)*(c + 3)**2
Suppose -15*o**3 + 67*o**2 + 306*o + 224 = 0. Calculate o.
-2, -1, 112/15
Find c, given that -4*c**2 + 1304*c + 1308 = 0.
-1, 327
Determine t so that 4*t**3 - 23*t**2 - 6*t = 0.
-1/4, 0, 6
Factor 2*y**2/7 + 208*y/7 + 5408/7.
2*(y + 52)**2/7
Factor f**5/3 + 10*f**4/3 + 32*f**3/3 + 32*f**2/3.
f**2*(f + 2)*(f + 4)**2/3
Factor 2*d**2/7 - 148*d/7 + 288/7.
2*(d - 72)*(d - 2)/7
Suppose -2*q**4/3 + 2*q**3/3 + 2*q**2/3 - 2*q/3 = 0. What is q?
-1, 0, 1
Factor 2*t**3/5 - 22*t**2 - 116*t/5 + 224/5.
2*(t - 56)*(t - 1)*(t + 2)/5
Factor -2*q**3/7 - 1048*q**2/7 - 19462*q + 276676/7.
-2*(q - 2)*(q + 263)**2/7
Let -2*y**2 - 8334*y + 8336 = 0. Calculate y.
-4168, 1
Factor -r**4/2 - 2258*r**3 - 3823923*r**2 - 2878139378*r - 1624709678881/2.
-(r + 1129)**4/2
Find m, given that -4*m**4/15 - 86*m**3/15 - 198*m**2/5 - 1396*m/15 - 112/3 = 0.
-10, -7, -4, -1/2
Let -20*m**2 - 74*m - 42 = 0. Calculate m.
-3, -7/10
Determine p so that -2*p**4 + 26*p**3 - 92*p**2 + 24*p + 144 = 0.
-1, 2, 6
What is i in -4*i**3/7 + 88*i**2/7 - 12*i = 0?
0, 1, 21
Factor 4*y**4 - 16*y**3 - 48*y**2.
4*y**2*(y - 6)*(y + 2)
Solve -t**4/3 - 64*t**3/3 - 120*t**2 - 704*t/3 - 464/3 = 0.
-58, -2
Factor -2*i**2/9 + 172*i/9 - 3698/9.
-2*(i - 43)**2/9
Solve 26450*z**4/11 + 160540*z**3/11 + 249122*z**2/11 + 16752*z/11 + 288/11 = 0.
-3, -4/115
Solve 2*l**5 - 94*l**4 + 956*l**3 + 3452*l**2 + 3650*l + 1250 = 0.
-1, 25
Let -2*t**4/7 - 78*