**2 + 135*k - 900 = 0. What is k?
-1, 1, 12, 15
Solve -3*q**4/7 - 18*q**3/7 + 75*q**2/7 - 54*q/7 = 0.
-9, 0, 1, 2
Determine b so that 3*b**5/4 - 3*b**4/2 - 39*b**3/4 - 15*b**2/2 = 0.
-2, -1, 0, 5
Let -2*q**2/5 + 128*q/5 + 138 = 0. What is q?
-5, 69
Factor -2*r**3/19 - 2*r**2/19 + 16*r/19 + 24/19.
-2*(r - 3)*(r + 2)**2/19
Factor -2*v**2/5 + 862*v/5 - 172.
-2*(v - 430)*(v - 1)/5
Suppose -3*q**5 + 63*q**4 - 375*q**3 + 189*q**2 + 2430*q = 0. What is q?
-2, 0, 5, 9
Factor 3*n**3/7 + 1350*n**2/7 - 3*n/7 - 1350/7.
3*(n - 1)*(n + 1)*(n + 450)/7
Factor 3*c**5 + 57*c**4 - 189*c**3 + 195*c**2 - 66*c.
3*c*(c - 1)**3*(c + 22)
Suppose -4*a**5 + 16*a**4 + 72*a**3 + 80*a**2 + 28*a = 0. Calculate a.
-1, 0, 7
Factor -2*m**2/7 + 7960*m/7 - 7920200/7.
-2*(m - 1990)**2/7
Factor 2*s**4/13 + 3252*s**3/13 + 1318682*s**2/13 - 2647128*s/13 + 1325192/13.
2*(s - 1)**2*(s + 814)**2/13
Determine j so that -j**3/2 - 9*j**2 + 25*j/2 + 57 = 0.
-19, -2, 3
Find x such that x**2/4 + 97*x/4 - 99/2 = 0.
-99, 2
Factor 4*x**5 - 12*x**4 + 16*x**2.
4*x**2*(x - 2)**2*(x + 1)
Determine f, given that -28*f**5/11 + 274*f**4/11 - 948*f**3/11 + 1296*f**2/11 - 432*f/11 - 162/11 = 0.
-3/14, 1, 3
Factor -b**3/8 + 3*b**2/2 + 27*b/2.
-b*(b - 18)*(b + 6)/8
Suppose 2*t**4 - 100*t**3 + 1034*t**2 + 5400*t + 5832 = 0. Calculate t.
-2, 27
Let 89*r**2/2 - 1867*r/2 - 21 = 0. Calculate r.
-2/89, 21
What is v in -3*v**2 - 18*v - 15 = 0?
-5, -1
What is c in -1022*c**3/3 - 1286*c**2/3 - 256*c/3 + 8/3 = 0?
-1, -2/7, 2/73
Factor 147*k**3 - 545*k**2 + 316*k - 12.
(k - 3)*(3*k - 2)*(49*k - 2)
Factor -50*a**2 - 105*a - 10.
-5*(a + 2)*(10*a + 1)
Factor 2*s**3/13 + 954*s**2/13.
2*s**2*(s + 477)/13
Factor 5*k**4 - 140*k**3 - 1095*k**2 + 2590*k - 1360.
5*(k - 34)*(k - 1)**2*(k + 8)
Determine b, given that -b**3 + 23*b**2 - 168*b + 396 = 0.
6, 11
Factor -p**3 + 18*p**2 - 5*p - 204.
-(p - 17)*(p - 4)*(p + 3)
Suppose 2*d**3/5 - 162*d/5 = 0. Calculate d.
-9, 0, 9
Solve 3*f**2/5 + 21*f/5 + 6 = 0.
-5, -2
Factor -4*l**3 - 108*l**2.
-4*l**2*(l + 27)
Let -4*m**2 + 1056*m = 0. What is m?
0, 264
Factor -2*z**2/9 + 292*z/9 - 290/9.
-2*(z - 145)*(z - 1)/9
Let -s**3/2 + 136*s**2 - 9248*s = 0. Calculate s.
0, 136
Factor 5*w**2/3 - 605*w/3 - 610/3.
5*(w - 122)*(w + 1)/3
Factor -3*f**5 + 3*f**4 + 15*f**3 - 3*f**2 - 24*f - 12.
-3*(f - 2)**2*(f + 1)**3
Let 81*x**5/7 + 72*x**4/7 - 74*x**3/7 - 40*x**2/7 + 25*x/7 = 0. Calculate x.
-1, 0, 5/9
What is f in f**3/5 + 11*f**2/5 - 26*f/5 = 0?
-13, 0, 2
Determine t, given that -3*t**5 + 6*t**4 + 285*t**3 - 2124*t**2 + 5616*t - 5184 = 0.
-12, 3, 4
What is q in 4*q**3 + 4*q**2 - 8*q = 0?
-2, 0, 1
Let 4*p**2 - 72*p - 76 = 0. What is p?
-1, 19
Solve -4*x**3 + 16*x**2 = 0 for x.
0, 4
Solve -2*o**3 - 28*o**2 + 64*o = 0 for o.
-16, 0, 2
Factor 4*j**4 - 664*j**3 - 672*j**2 + 664*j + 668.
4*(j - 167)*(j - 1)*(j + 1)**2
Factor 4*g**3 - 412*g**2 - 852*g + 1260.
4*(g - 105)*(g - 1)*(g + 3)
Let 2*v**2/3 - 228*v + 682/3 = 0. What is v?
1, 341
Let y**2 - 496*y + 495 = 0. What is y?
1, 495
Factor -3*g**3 + 3729*g**2 - 7449*g + 3723.
-3*(g - 1241)*(g - 1)**2
Factor -171*a**4/7 - 48*a**3 - 159*a**2/7 + 6*a/7.
-3*a*(a + 1)**2*(57*a - 2)/7
Suppose u**3 - 924*u**2 + 284592*u - 29218112 = 0. What is u?
308
Factor 2*s**2/3 - 1136*s + 483936.
2*(s - 852)**2/3
What is c in 5*c**5 + 885*c**4 - 3600*c**3 + 3620*c**2 = 0?
-181, 0, 2
Factor -5*d**2 - 31670*d - 50149445.
-5*(d + 3167)**2
Factor 4*u**2 - 36*u + 32.
4*(u - 8)*(u - 1)
Let -j**3/3 + 571*j**2/3 + 1145*j/3 + 191 = 0. What is j?
-1, 573
Let 2*t**2 - 196*t + 752 = 0. Calculate t.
4, 94
What is l in -5*l**5 - 50*l**4 - 135*l**3 - 70*l**2 + 140*l + 120 = 0?
-6, -2, -1, 1
Solve -g**3 + 34*g**2 - 252*g - 648 = 0 for g.
-2, 18
Factor -2*p**4 + 26*p**3 - 96*p**2 + 136*p - 64.
-2*(p - 8)*(p - 2)**2*(p - 1)
Find m, given that -16*m**5 + 396*m**4 - 2924*m**3 + 3132*m**2 + 24300*m + 5832 = 0.
-2, -1/4, 9
Factor -6*k**3/11 - 42*k**2/11 - 60*k/11.
-6*k*(k + 2)*(k + 5)/11
Let 5*i**4 + 1945*i**3 + 251550*i**2 + 10731500*i - 10985000 = 0. What is i?
-130, 1
Find j, given that -2*j**2 + 1196*j - 178802 = 0.
299
Determine f, given that -f**5 + 9*f**4 - 27*f**3 + 27*f**2 = 0.
0, 3
Factor -4*b**4/7 + 4*b**2/7.
-4*b**2*(b - 1)*(b + 1)/7
Suppose -2*l**2/9 - 1174*l/9 = 0. What is l?
-587, 0
What is m in -3*m**3 - 154*m**2 - 1924*m + 1352 = 0?
-26, 2/3
Let 18*q**3/7 + 3474*q**2/7 - 8*q/7 - 1544/7 = 0. What is q?
-193, -2/3, 2/3
Find m, given that 3*m**5/2 - 7*m**4 - 49*m**3/2 - 2*m**2 + 14*m = 0.
-2, -1, 0, 2/3, 7
Factor 2*s**2/19 + 976*s/19 + 119072/19.
2*(s + 244)**2/19
Factor 3*j**3 + 613*j**2 + 204*j.
j*(j + 204)*(3*j + 1)
Factor -28*g**2 + 92*g - 64.
-4*(g - 1)*(7*g - 16)
Factor 2*v**2/11 - 108*v/11 + 306/11.
2*(v - 51)*(v - 3)/11
Let -n**3/2 - 4*n**2 - 5*n/2 + 7 = 0. Calculate n.
-7, -2, 1
What is l in -5*l**4 - 215*l**3 - 2340*l**2 - 6400*l + 8960 = 0?
-28, -8, 1
What is p in -52*p**2 + 92*p + 24 = 0?
-3/13, 2
Suppose -4*p**2 - 14640*p - 13395600 = 0. Calculate p.
-1830
Suppose -5*y**5 + 30*y**4 + 90*y**3 - 1080*y**2 + 2835*y - 2430 = 0. Calculate y.
-6, 3
Factor 2*q**4 - 56*q**3.
2*q**3*(q - 28)
Let -2*q**2/7 - 520*q/7 - 4518/7 = 0. Calculate q.
-251, -9
Find x such that 2*x**2/11 - 30*x/11 + 28/11 = 0.
1, 14
Factor -3*u**4/4 - 3*u**3 - 3*u**2.
-3*u**2*(u + 2)**2/4
Let 338*z**4/7 + 13572*z**3/7 + 15264*z**2/7 + 2108*z/7 + 78/7 = 0. Calculate z.
-39, -1, -1/13
Factor g**3/4 - 483*g**2/2 + 58563*g - 116162.
(g - 482)**2*(g - 2)/4
Suppose 3*o**2 - 4170*o + 1449075 = 0. Calculate o.
695
Solve 28*o**2 + 132*o - 40 = 0 for o.
-5, 2/7
Factor 5*o**4 - 260*o**3 + 3380*o**2.
5*o**2*(o - 26)**2
Suppose -2*y**4 - 36*y**3 - 186*y**2 - 160*y + 384 = 0. What is y?
-8, -3, 1
Let -2*y**5/11 - 12*y**4/11 + 142*y**3/11 + 480*y**2/11 - 3200*y/11 = 0. Calculate y.
-8, 0, 5
Suppose 4*h**3 + 668*h**2 - 672*h = 0. What is h?
-168, 0, 1
Factor -2*h**4 - 4*h**3 + 2*h**2 + 4*h.
-2*h*(h - 1)*(h + 1)*(h + 2)
Factor r**3/12 + 5*r**2/4 - r/12 - 5/4.
(r - 1)*(r + 1)*(r + 15)/12
Factor 5*m**3/3 + 172*m**2/3 + 1513*m/3 + 578/3.
(m + 17)**2*(5*m + 2)/3
Factor 4*n**4 - 340*n**3 + 9744*n**2 - 97216*n + 87808.
4*(n - 28)**3*(n - 1)
Factor 2*q**3/9 + 80*q**2/9 + 782*q/9.
2*q*(q + 17)*(q + 23)/9
Let a**3 - 63*a**2 - a + 63 = 0. What is a?
-1, 1, 63
Find p such that -5*p**4 - 20*p**3 + 75*p**2 + 290*p + 200 = 0.
-5, -2, -1, 4
Factor -3*n**3 - 2271*n**2 + 27576*n - 83052.
-3*(n - 6)**2*(n + 769)
Suppose 3*q**4/5 + 123*q**3/5 + 1551*q**2/5 + 6777*q/5 + 5346/5 = 0. Calculate q.
-22, -9, -1
Factor -2*b**2 - 3464*b + 3466.
-2*(b - 1)*(b + 1733)
Factor -v**3/6 + v**2 + 3*v/2 - 7/3.
-(v - 7)*(v - 1)*(v + 2)/6
Factor -4*x**3/3 - 100*x**2/3 + 248*x/3 + 288.
-4*(x - 4)*(x + 2)*(x + 27)/3
Suppose 4*g**4/13 + 238*g**3/13 + 2636*g**2/13 + 1142*g/13 - 1260/13 = 0. What is g?
-45, -14, -1, 1/2
Factor y**3/3 - 251*y**2 + 63001*y - 15813251/3.
(y - 251)**3/3
Suppose -2*y**5 - 70*y**4 - 126*y**3 + 206*y**2 + 256*y - 264 = 0. Calculate y.
-33, -2, 1
Let v**3/2 - 27*v**2/2 + 47*v/2 + 75/2 = 0. What is v?
-1, 3, 25
Let -4*k**3 - 64*k**2 + 156*k + 216 = 0. Calculate k.
-18, -1, 3
Determine b so that 66*b**3 - 64*b**2 - 2*b = 0.
-1/33, 0, 1
Determine j, given that 7*j**3/3 + 24*j**2 - 148*j/3 - 16 = 0.
-12, -2/7, 2
Factor s**3/7 - 5*s**2/7 - 88*s/7 - 208/7.
(s - 13)*(s + 4)**2/7
Find t, given that 5*t**2 - 605*t + 4520 = 0.
8, 113
Factor -2*j**3/7 + 172*j**2/7 + 178*j/7 - 348/7.
-2*(j - 87)*(j - 1)*(j + 2)/7
Suppose -4*d**3 - 628*d**2 - 23004*d + 131220 = 0. What is d?
-81, 5
What is z in -z**2/6 + 10*z/3 + 22/3 = 0?
-2, 22
Factor -14*w**4 - 8*w**3 + 6*w**2.
-2*w**2*(w + 1)*(7*w - 3)
Factor -5*g**4 + 5*g**3 + 25*g**2 + 15*g.
-5*g*(g - 3)*(g + 1)**2
Find o such that 5*o**2 - 75*o - 80 = 0.
-1, 16
Factor f**2 + 37*f.
f*(f + 37)
Factor 5*g**5 + 15*g**4 - 90*g**3 + 20*g**2 + 120*g.
5*g*(g - 2)**2*(g + 1)*(g + 6)
Let 2*k**5 + 10*k**4 + 18*k**3 + 14*k**2 + 4*k = 0. Calculate k.
-2, -1, 0
Factor -88209*y**2 - 1188*y - 4.
-(297*y + 2)**2
Factor 39*p**3/2 + 285*p**2/8 - 27*p/4.
3*p*(p + 2)*(52*p - 9)/8
Factor -10*g**3/3 + 118*g**2/3 + 8*g.
-2*g*(g - 12)*(5*g + 1)/3
Factor -u**3/4 + 16*u**2 - 60*u.
-u*(u - 60)*(u - 4)/4
Solve -2*u**4/7 + 132*u**3/7 + 408*u**2/7 + 412*u/7 + 138/7 = 0.
-1, 69
Solve 2*c**2/19 - 18*c/19 + 40/19 = 0.
4, 5
Determine x s