
Let -3*b**5 - 216*b**4 - 2412*b**3 + 51600*b**2 - 237888*b + 338688 = 0. What is b?
-42, 4
What is t in 3*t**5 - 57*t**4 + 294*t**3 - 186*t**2 - 297*t + 243 = 0?
-1, 1, 9
Factor 2*t**3/3 + 4*t**2 + 8*t + 16/3.
2*(t + 2)**3/3
Factor y**3/6 + 38*y**2/3 + 623*y/2 + 2499.
(y + 21)**2*(y + 34)/6
Suppose n**4/6 - 13*n**3/3 + 209*n**2/6 - 278*n/3 + 78 = 0. What is n?
2, 9, 13
Suppose -2*j**2 - 278*j + 3300 = 0. Calculate j.
-150, 11
Factor -5*v**4 - 80*v**3 + 15*v**2 + 230*v - 160.
-5*(v - 1)**2*(v + 2)*(v + 16)
Factor 5*u**3/6 + 625*u**2/6 + 9280*u/3 - 10240.
5*(u - 3)*(u + 64)**2/6
Factor -f**5 + 7*f**4 - 18*f**3 + 20*f**2 - 8*f.
-f*(f - 2)**3*(f - 1)
Suppose r**5/11 - 3*r**3/11 - 2*r**2/11 = 0. What is r?
-1, 0, 2
Factor -27*z**5 - 161*z**4 + 6*z**3.
-z**3*(z + 6)*(27*z - 1)
Factor 5*t**3/4 + 207*t**2/4 - 267*t - 115.
(t - 5)*(t + 46)*(5*t + 2)/4
Suppose -5*s**4 - 60*s**3 - 105*s**2 + 410*s - 240 = 0. Calculate s.
-8, -6, 1
Suppose -f**4 + 5*f**3 - 9*f**2 + 7*f - 2 = 0. Calculate f.
1, 2
Let -5*f**5 + 25*f**4 + 310*f**3 - 1190*f**2 - 3185*f - 1715 = 0. Calculate f.
-7, -1, 7
Factor -4*r**3 - 2436*r**2 - 2424*r + 4864.
-4*(r - 1)*(r + 2)*(r + 608)
Factor -4*m**3 - 7*m**2.
-m**2*(4*m + 7)
Factor -v**2/5 - 8*v/5 + 13.
-(v - 5)*(v + 13)/5
Factor -f**4 - 3*f**3 + 7*f**2 + 15*f - 18.
-(f - 2)*(f - 1)*(f + 3)**2
Suppose -3*a**2 + 42*a + 528 = 0. What is a?
-8, 22
Factor 2*k**2/7 - 20*k/7 - 144.
2*(k - 28)*(k + 18)/7
Factor -5*a**4 - 245*a**3.
-5*a**3*(a + 49)
Suppose -l**4 - 42*l**3 - 441*l**2 = 0. Calculate l.
-21, 0
What is a in 2*a**3/5 - 36*a**2/5 - 126*a/5 = 0?
-3, 0, 21
Find q, given that -4*q**4 - 92*q**3 - 364*q**2 + 2028*q = 0.
-13, 0, 3
Factor -u**4/5 + u**3 + 18*u**2/5 - 4*u - 56/5.
-(u - 7)*(u - 2)*(u + 2)**2/5
What is o in 2*o**5/3 - 52*o**4/3 + 248*o**3/3 + 2948*o**2/3 - 24442*o/3 + 21296/3 = 0?
-8, 1, 11
Solve q**3/6 + 62*q**2/3 - 131*q/6 - 125 = 0.
-125, -2, 3
Find o such that 3*o**5 + 129*o**4 + 1998*o**3 + 13026*o**2 + 30927*o + 19773 = 0.
-13, -3, -1
Determine w, given that 2*w**5 - 13*w**4 + 30*w**3 - 32*w**2 + 16*w - 3 = 0.
1/2, 1, 3
Solve 9*r**5 + 12*r**4 - 3*r**3 - 6*r**2 = 0 for r.
-1, 0, 2/3
Let 3*k**3 - 57*k**2 + 117*k + 945 = 0. What is k?
-3, 7, 15
Factor -10*w**4 + 566*w**3 + 228*w**2.
-2*w**2*(w - 57)*(5*w + 2)
Factor -h**3 + 105*h**2 - 399*h - 505.
-(h - 101)*(h - 5)*(h + 1)
Factor 5*f**3 + 95*f**2 - 205*f + 105.
5*(f - 1)**2*(f + 21)
Solve q**5/6 - q**4/6 - 8*q**3/3 + 2*q**2/3 + 8*q = 0 for q.
-3, -2, 0, 2, 4
Factor -d**3/2 - 93*d**2/2 - 1008*d + 3456.
-(d - 3)*(d + 48)**2/2
Let -2*x**4/7 + 66*x**3/7 - 436*x**2/7 - 1800*x/7 - 1296/7 = 0. Calculate x.
-2, -1, 18
What is b in 2*b**5/5 - 16*b**3/5 - 12*b**2/5 + 14*b/5 + 12/5 = 0?
-2, -1, 1, 3
Factor -2*j**3/11 - 6*j**2/11 + 8/11.
-2*(j - 1)*(j + 2)**2/11
What is y in -y**5/3 - 4*y**4 + y**3/3 + 4*y**2 = 0?
-12, -1, 0, 1
Factor 4*h**2/7 + 150*h/7 - 76/7.
2*(h + 38)*(2*h - 1)/7
Suppose -2*p**4/11 - 20*p**3/11 - 72*p**2/11 - 112*p/11 - 64/11 = 0. What is p?
-4, -2
Factor -d**4 + 322*d**3 - 27481*d**2 + 251160*d - 608400.
-(d - 156)**2*(d - 5)**2
Suppose 50*w**5 - 390*w**4 + 588*w**3 - 296*w**2 + 48*w = 0. What is w?
0, 2/5, 1, 6
Let -3*l**4/2 - 30*l**3 - 57*l**2/2 = 0. What is l?
-19, -1, 0
Let -w**3 - 1434*w**2 - 685452*w - 109215352 = 0. Calculate w.
-478
Solve -2*v**5/5 + 2*v**4 + 4*v**3/5 - 84*v**2/5 + 126*v/5 - 54/5 = 0 for v.
-3, 1, 3
Suppose -z**3 - 36*z**2 - 299*z - 264 = 0. Calculate z.
-24, -11, -1
Let 5*w**4 - 465*w**3 = 0. What is w?
0, 93
Find d, given that 5*d**5 + 5*d**4 - 190*d**3 + 1440*d = 0.
-6, -3, 0, 4
Factor 4*m**5 - 32*m**4 + 60*m**3 + 16*m**2 - 80*m.
4*m*(m - 5)*(m - 2)**2*(m + 1)
Factor 39488656*q**2 - 75408*q + 36.
4*(3142*q - 3)**2
Factor 2*w**4/5 + 4*w**3 + 58*w**2/5 + 8*w.
2*w*(w + 1)*(w + 4)*(w + 5)/5
Factor 2*g**2/13 - 24*g/13 - 170/13.
2*(g - 17)*(g + 5)/13
Find r such that -3*r**2 - 27*r - 60 = 0.
-5, -4
Factor 5*f**4 - 517*f**3 + 14206*f**2 - 43100*f + 15000.
(f - 50)**2*(f - 3)*(5*f - 2)
Solve f**4/11 + 5*f**3/11 - 325*f**2/11 - 3125*f/11 - 7500/11 = 0 for f.
-15, -5, 20
Factor 4*k**2/7 - 48*k/7 + 144/7.
4*(k - 6)**2/7
Factor 3*u**3 + 45*u**2/2 + 33*u - 45/2.
3*(u + 3)*(u + 5)*(2*u - 1)/2
Find k, given that -k**2/9 + k/3 - 2/9 = 0.
1, 2
Let -m**4 + 6*m**3 + 8*m**2 - 6*m - 7 = 0. What is m?
-1, 1, 7
Factor 3*r**3/4 + 291*r**2 + 28227*r.
3*r*(r + 194)**2/4
Let 2*u**4/3 + 124*u**3/9 + 122*u**2/3 - 136*u/9 = 0. What is u?
-17, -4, 0, 1/3
Determine g, given that 3*g**2/2 + 57*g - 117/2 = 0.
-39, 1
Factor -4*i**2/3 - 144*i - 3888.
-4*(i + 54)**2/3
Find v, given that 578*v**3/9 + 9962*v**2/9 + 2320*v/9 + 136/9 = 0.
-17, -2/17
Determine h so that 12*h**3 + 136*h**2 + 44*h = 0.
-11, -1/3, 0
Factor -2*l**2 - 3*l/4.
-l*(8*l + 3)/4
Factor 2*o**4 - 4196*o**3 + 2196602*o**2 + 4405800*o + 2205000.
2*(o - 1050)**2*(o + 1)**2
Solve -w**4/2 + 34*w**3/5 - 217*w**2/10 - 49*w/5 = 0.
-2/5, 0, 7
Find g such that -4*g**2 + 8*g + 32 = 0.
-2, 4
What is s in s**4/5 - 4*s**3/5 + 2*s**2/5 + 4*s/5 - 3/5 = 0?
-1, 1, 3
Factor -2*p**3/9 - 80*p**2/9 - 1024*p/9 - 4096/9.
-2*(p + 8)*(p + 16)**2/9
Solve 5*q**4 - 3240*q**3 + 518360*q**2 + 2112480*q + 2125520 = 0 for q.
-2, 326
Let 3*m**2 + 216*m + 213 = 0. Calculate m.
-71, -1
Factor 2*m**4 + 16*m**3 + 12*m**2 - 16*m - 14.
2*(m - 1)*(m + 1)**2*(m + 7)
Suppose -2*f**5/3 + 64*f**4/3 - 410*f**3/3 - 2180*f**2/3 + 7072*f/3 + 18496/3 = 0. What is f?
-4, -2, 4, 17
Factor -x**5 - 11*x**4 - 19*x**3 + 115*x**2 + 200*x - 500.
-(x - 2)**2*(x + 5)**3
Factor 2*x**2/9 + 836*x/9 - 560/3.
2*(x - 2)*(x + 420)/9
Let -2*u**3/7 - 958*u**2/7 - 136*u + 1912/7 = 0. Calculate u.
-478, -2, 1
Factor 5*x**3 - 50*x**2.
5*x**2*(x - 10)
Factor -a**4/8 - 35*a**3/8 - 36*a**2 - 135*a/2 + 108.
-(a - 1)*(a + 6)**2*(a + 24)/8
Factor -l**3/2 + 30*l**2 - 737*l/2 - 399.
-(l - 42)*(l - 19)*(l + 1)/2
Determine r, given that -3*r**2 + 42*r + 720 = 0.
-10, 24
Solve 4*p**4 + 888*p**3/7 + 7724*p**2/7 + 10320*p/7 - 3600/7 = 0.
-15, -2, 2/7
What is f in 5*f**2 + 485*f - 990 = 0?
-99, 2
Factor 2*u**2 - 44*u + 80.
2*(u - 20)*(u - 2)
Let 3*b**3/4 - 17*b**2/2 + 63*b/4 = 0. Calculate b.
0, 7/3, 9
Suppose -2*q**5 - 284*q**4 + 582*q**3 + 848*q**2 - 2296*q + 1152 = 0. What is q?
-144, -2, 1, 2
Factor 5*g**3 - 15*g**2 - 45*g - 25.
5*(g - 5)*(g + 1)**2
Solve -5*t**4 + 350*t**3 - 6785*t**2 + 23100*t - 21780 = 0.
2, 33
Factor u**2/5 - 89*u/5.
u*(u - 89)/5
Factor s**3/8 + 37*s**2/4.
s**2*(s + 74)/8
Factor -5*t**2 - 1160*t - 67280.
-5*(t + 116)**2
Let -x**5 - 6*x**4 - 5*x**3 + 16*x**2 + 12*x - 16 = 0. What is x?
-4, -2, 1
Let a**2/10 - 121*a/10 + 12 = 0. What is a?
1, 120
Let 2*r**3 + 44*r**2 - 94*r + 48 = 0. Calculate r.
-24, 1
Suppose -3*t**3 - 106*t**2/3 + 47*t - 26/3 = 0. Calculate t.
-13, 2/9, 1
Factor 18*j**2 + 3776*j - 840.
2*(j + 210)*(9*j - 2)
What is l in -l**3/4 + 2*l**2 - 7*l/4 = 0?
0, 1, 7
Factor 2*d**3/11 + 8*d**2/11.
2*d**2*(d + 4)/11
Let -2*m**3 - 10*m**2 + 44*m - 32 = 0. What is m?
-8, 1, 2
Factor -i**2 + 41*i - 148.
-(i - 37)*(i - 4)
What is i in -5*i**2 - 11930*i - 7116245 = 0?
-1193
Factor 3*q**2 + 1275*q + 2538.
3*(q + 2)*(q + 423)
Factor 2*o**3/19 - 34*o**2/19 + 126*o/19 + 162/19.
2*(o - 9)**2*(o + 1)/19
Solve 4*m**3/7 - 348*m**2/7 + 684*m/7 - 340/7 = 0.
1, 85
Let -w**3 - 95*w**2 - 2208*w + 2304 = 0. What is w?
-48, 1
Determine t so that -3*t**4/4 + 9*t**3 - 153*t**2/4 + 66*t - 36 = 0.
1, 3, 4
Suppose 2*s**5/13 + 4*s**4/13 - 8*s**3/13 - 16*s**2/13 = 0. Calculate s.
-2, 0, 2
Factor -2*j**3 + 8*j**2 - 2*j - 12.
-2*(j - 3)*(j - 2)*(j + 1)
Factor -10*x**3/9 + 134*x**2/3 - 1360*x/3 + 800/9.
-2*(x - 20)**2*(5*x - 1)/9
Find g, given that -75*g**5/8 - 453*g**4/8 - 159*g**3/4 + 219*g**2/4 + 393*g/8 + 15/8 = 0.
-5, -1, -1/25, 1
Factor -18*a**4 + 58*a**3 - 12*a**2.
-2*a**2*(a - 3)*(9*a - 2)
Factor -i**2 + 7*i + 44.
-(i - 11)*(i + 4)
Solve -5*b**2 + 27390*b - 37510605 = 0.
2739
Solve 12*h**2 + h - 1 = 0.
-1/3, 1/4
Determine s so that 5*s**3/2 - 590*s**2 + 65945*s/2 + 219615 = 0.
-6, 121
Suppose 4*t**5 + 24*t**4 - 1296*t**3 + 5816*t**2 - 7860*t + 3312 = 0. Calculate t.
-23, 1, 3, 12
Find p such that p**2 + 526*p - 2655 = 0.
-531, 5
Factor 5*d**3 + 85*d**2 - 90*d.
5*d*(d - 1)*(d + 18)
Factor n**3 - 1045*n**2 - 6297*n - 9459.
(n - 1051)*(n + 3)**2
Find a such that 33*a**3/4 - 16*