
-4*a*(a - 16)**2/3
Solve -2*d**4 + 143*d**3/2 + 168*d**2 + 227*d/2 + 19 = 0 for d.
-1, -1/4, 38
Suppose s**5/4 - s**4/2 - s**3/2 + s**2 + s/4 - 1/2 = 0. Calculate s.
-1, 1, 2
Let -2*l**4 - 24*l**3 + 6*l**2 + 76*l + 48 = 0. Calculate l.
-12, -1, 2
Find t such that -3*t**4 + 342*t**3 - 675*t**2 + 336*t = 0.
0, 1, 112
Suppose -2235*q**3 - 3*q**2 = 0. Calculate q.
-1/745, 0
Factor -x**2/5 - 41*x/5 - 414/5.
-(x + 18)*(x + 23)/5
Factor -j**2/3 - 6*j.
-j*(j + 18)/3
Suppose -q**5 + 9*q**3 + 4*q**2 - 12*q = 0. Calculate q.
-2, 0, 1, 3
Factor -2*c**3 + 74*c**2 + 2*c - 74.
-2*(c - 37)*(c - 1)*(c + 1)
Determine n so that -2*n**4 - 98*n**3 + 6*n**2 + 298*n + 196 = 0.
-49, -1, 2
What is t in t**2/4 - 5*t/4 - 33/2 = 0?
-6, 11
Factor 4*k**4/3 + 16*k**3/3 - 64*k**2/3 - 64*k/3 + 64.
4*(k - 2)**2*(k + 2)*(k + 6)/3
Factor 2*b**3 + 66*b**2 - 1172*b + 1104.
2*(b - 12)*(b - 1)*(b + 46)
Factor -l**3 + 19*l**2/6 - l/6 - 1.
-(l - 3)*(2*l + 1)*(3*l - 2)/6
Factor 2*j**2 + 199*j + 99.
(j + 99)*(2*j + 1)
What is l in -9*l**5 - 48*l**4 + 11*l**3 + 158*l**2 + 148*l + 40 = 0?
-5, -1, -2/3, 2
Factor 25*i**4 + 60*i**3 + 46*i**2 + 12*i + 1.
(i + 1)**2*(5*i + 1)**2
Factor b**4 + 3*b**3 + b**2 - 3*b - 2.
(b - 1)*(b + 1)**2*(b + 2)
Let -5*g**2 - 180*g + 4160 = 0. What is g?
-52, 16
Determine q, given that 2*q**2/11 - 4156*q/11 + 2159042/11 = 0.
1039
Let -2*f**4/19 - 28*f**3/19 + 62*f**2/19 - 32*f/19 = 0. What is f?
-16, 0, 1
Let -2*t**5/15 + 32*t**4/15 + 8*t**3/15 - 128*t**2/15 = 0. Calculate t.
-2, 0, 2, 16
Find s, given that -5*s**3/6 + 7*s**2/6 + 49*s/3 - 20/3 = 0.
-4, 2/5, 5
Find f, given that -f**5 - 11*f**4 + 13*f**3 + 11*f**2 - 12*f = 0.
-12, -1, 0, 1
Suppose -6*t**4 - 608*t**3 - 20400*t**2 - 221952*t + 157216 = 0. What is t?
-34, 2/3
Factor -2*d**3/5 + 474*d**2/5 - 5664*d + 27848/5.
-2*(d - 118)**2*(d - 1)/5
Factor r**2/3 - 1232*r/3 + 379456/3.
(r - 616)**2/3
Factor 3*y**4 - 48*y**3 - 12*y**2 + 192*y.
3*y*(y - 16)*(y - 2)*(y + 2)
Factor s**3 - 154*s**2 + 5929*s.
s*(s - 77)**2
Factor 2*v**3/7 - 1054*v**2/7 + 138336*v/7 + 139392/7.
2*(v - 264)**2*(v + 1)/7
Suppose 2*j**2 + 220*j + 432 = 0. Calculate j.
-108, -2
Factor 2*g**3/15 + 18*g**2 - 8372*g/15.
2*g*(g - 26)*(g + 161)/15
Factor 212*u**4/5 + 2112*u**3/5 + 1044*u**2 - 40*u.
4*u*(u + 5)**2*(53*u - 2)/5
Factor -3*i**4/7 - 6*i**3/7 + 3*i**2 - 12*i/7.
-3*i*(i - 1)**2*(i + 4)/7
What is j in -8*j**4/9 + 16*j**3 + 226*j**2/3 + 566*j/9 + 44/3 = 0?
-3, -1/2, 22
Factor -2*o**3 + 200*o**2 - 394*o + 196.
-2*(o - 98)*(o - 1)**2
Suppose -5*k**2 - 1205*k - 2390 = 0. Calculate k.
-239, -2
What is z in 3*z**4/4 - 3*z**3/4 - 45*z**2/4 - 69*z/4 - 15/2 = 0?
-2, -1, 5
Suppose -46*u**5 + 4*u**4 + 230*u**3 - 20*u**2 - 184*u + 16 = 0. What is u?
-2, -1, 2/23, 1, 2
Suppose -5*r**5 + 20*r**4 - 15*r**3 - 20*r**2 + 20*r = 0. Calculate r.
-1, 0, 1, 2
Factor -4*j**3 - 168*j**2 - 2304*j - 10368.
-4*(j + 12)**2*(j + 18)
Factor s**3/12 + 23*s**2/12 - 2*s.
s*(s - 1)*(s + 24)/12
Factor -3*f**2 + 588*f + 591.
-3*(f - 197)*(f + 1)
Factor i**3/4 - 49*i**2.
i**2*(i - 196)/4
Factor 2*r**3/11 + 32*r**2/11 + 14*r + 196/11.
2*(r + 2)*(r + 7)**2/11
Suppose 3*n**5/7 - 6*n**4/7 - 45*n**3/7 - 12*n**2/7 + 60*n/7 = 0. Calculate n.
-2, 0, 1, 5
Factor -t**2/4 + 1/4.
-(t - 1)*(t + 1)/4
Factor -t**3/3 - 7*t**2/3 - 2*t.
-t*(t + 1)*(t + 6)/3
Determine g so that -4*g**3 + 72*g**2 - 236*g - 312 = 0.
-1, 6, 13
Determine q so that 4*q**5 - 232*q**4 - 476*q**3 - 240*q**2 = 0.
-1, 0, 60
Find g such that -2*g**4/11 - 50*g**3/11 - 86*g**2/11 + 138*g/11 = 0.
-23, -3, 0, 1
Factor c**2/4 - 239*c/4.
c*(c - 239)/4
Factor -l**2/6 - 7280*l/3 - 26499200/3.
-(l + 7280)**2/6
Find a such that -3*a**5 + 183*a**4 - 3345*a**3 + 16557*a**2 - 14904*a - 34992 = 0.
-1, 4, 27
Factor 4*i**2/5 - 296*i/5.
4*i*(i - 74)/5
Factor 2*l**2/5 - 21972*l/5 + 60346098/5.
2*(l - 5493)**2/5
Let -g**3/3 - 2*g**2 - 5*g/3 + 4 = 0. Calculate g.
-4, -3, 1
Factor -5*l**2 + 655*l - 2540.
-5*(l - 127)*(l - 4)
Factor 484*w**4 - 3542*w**3 + 24601*w**2/4 + 2415*w/2 + 225/4.
(4*w - 15)**2*(11*w + 1)**2/4
Let 2*v**2/15 + 16*v/5 + 88/15 = 0. Calculate v.
-22, -2
Factor 26*f**2/11 + 14*f - 12/11.
2*(f + 6)*(13*f - 1)/11
Factor 5*o**2 - 20*o.
5*o*(o - 4)
Determine h, given that -3*h**4/4 + 321*h**3/4 - 927*h**2/2 + 915*h - 606 = 0.
2, 101
Solve 5*j**3/3 - 205*j**2/3 - 70*j = 0 for j.
-1, 0, 42
Let j**5/9 - 10*j**4/9 + 3*j**3 - 14*j**2/9 - 28*j/9 + 8/3 = 0. What is j?
-1, 1, 2, 6
Factor -15*w**2 - 100*w - 60.
-5*(w + 6)*(3*w + 2)
Suppose -6*l**4 + 93*l**3 + 411*l**2 - 228*l = 0. Calculate l.
-4, 0, 1/2, 19
Factor -s**3/2 - s**2 + s/2 + 1.
-(s - 1)*(s + 1)*(s + 2)/2
Determine b so that 4*b**3/7 - 320*b**2/7 + 5952*b/7 - 4608 = 0.
12, 56
Factor 5*m**2 + 10*m - 15.
5*(m - 1)*(m + 3)
Factor 72*s**4/11 + 6096*s**3/11 - 2038*s**2/11 + 170*s/11.
2*s*(s + 85)*(6*s - 1)**2/11
Factor 2*r**5/9 - 8*r**4/9 + 10*r**3/9 - 4*r**2/9.
2*r**2*(r - 2)*(r - 1)**2/9
Factor 5*d**2/4 + 12319*d/2 - 2464.
(d + 4928)*(5*d - 2)/4
Solve -2*a**4/5 - 972*a**3/5 - 23424*a**2 + 238144*a/5 = 0.
-244, 0, 2
Factor q**2 + 553*q + 552.
(q + 1)*(q + 552)
Solve -9*y**3/2 - y**2 + 9*y/2 + 1 = 0.
-1, -2/9, 1
Suppose -3*l**2 - 477*l + 3486 = 0. What is l?
-166, 7
Factor 2*r**3 - 6*r**2 + 4*r.
2*r*(r - 2)*(r - 1)
Find v, given that -2*v**4/3 + 10*v**3/3 - 40*v/3 + 32/3 = 0.
-2, 1, 2, 4
Factor 4*v**2 - 228*v + 224.
4*(v - 56)*(v - 1)
Suppose 2*a**2 + 10*a + 8 = 0. What is a?
-4, -1
Suppose -3*g**4/4 + 17*g**3/4 - 7*g**2 + 3*g = 0. What is g?
0, 2/3, 2, 3
Factor t**3 - 9*t**2 + 8*t.
t*(t - 8)*(t - 1)
Determine y, given that -2*y**4/9 + 136*y**3/3 - 1610*y**2/9 + 668*y/3 - 800/9 = 0.
1, 2, 200
Suppose -4*o**3/5 - 12*o**2/5 + 96*o/5 - 112/5 = 0. Calculate o.
-7, 2
Factor -4*l**3/3 - 476*l**2/3 - 768*l - 912.
-4*(l + 2)*(l + 3)*(l + 114)/3
Suppose -5*h**3 + 200*h**2 + 415*h + 210 = 0. What is h?
-1, 42
Solve -5*b**4 + 52*b**3 - 20*b**2 = 0.
0, 2/5, 10
Factor -3*f**3/5 - 84*f**2/5 + 273*f/5 - 186/5.
-3*(f - 2)*(f - 1)*(f + 31)/5
Factor -3*h**5/5 + 63*h**4/5 - 441*h**3/5 + 1029*h**2/5.
-3*h**2*(h - 7)**3/5
Factor j**2/3 + 14*j/3 - 49.
(j - 7)*(j + 21)/3
Factor a**5 - 5*a**4 + 6*a**3 + 2*a**2 - 7*a + 3.
(a - 3)*(a - 1)**3*(a + 1)
Determine b, given that 3*b**5 + 6*b**4 = 0.
-2, 0
Factor -2*a**5/5 - 12*a**4/5 + 14*a**3/5.
-2*a**3*(a - 1)*(a + 7)/5
Determine h, given that 3*h**3/4 + 123*h**2/4 - 345*h/2 = 0.
-46, 0, 5
Factor -3*h**2/8 - 27*h/4 - 51/8.
-3*(h + 1)*(h + 17)/8
Factor -n**3 - 25*n**2 + 146*n - 120.
-(n - 4)*(n - 1)*(n + 30)
Find h such that h**5 + 10*h**4 + 11*h**3 - 46*h**2 - 48*h = 0.
-8, -3, -1, 0, 2
Let -4*n**3 = 0. What is n?
0
What is q in 16*q**4 + 40*q**3 - 119*q**2 - 360*q - 225 = 0?
-3, -5/4, 3
Let -z**4/3 - 13*z**3/3 - 46*z**2/3 - 4*z + 24 = 0. What is z?
-6, -2, 1
Find w, given that -3*w**4 + 681*w**3 - 39636*w**2 + 110208*w + 150528 = 0.
-1, 4, 112
Factor 250*i**4 + 996*i**3 + 984*i**2 - 16*i.
2*i*(i + 2)**2*(125*i - 2)
Let -g**2 + 15*g + 16 = 0. What is g?
-1, 16
Find o such that 3*o**2 - 27*o - 108 = 0.
-3, 12
Factor r**2/4 - 275*r/4 + 137/2.
(r - 274)*(r - 1)/4
Factor 3*t**5 + 162*t**4 + 2913*t**3 + 17334*t**2 - 2916*t - 17496.
3*(t - 1)*(t + 1)*(t + 18)**3
Determine n so that 2*n**5/17 + 6*n**4/17 - 20*n**3/17 - 48*n**2/17 = 0.
-4, -2, 0, 3
Factor 2*v**4/3 + 10*v**3/3 - 8*v**2 - 24*v.
2*v*(v - 3)*(v + 2)*(v + 6)/3
Factor -s**3/2 - 375*s**2/2 + 188*s.
-s*(s - 1)*(s + 376)/2
Solve -2*f**4 + 54*f**3 - 102*f**2 + 50*f = 0.
0, 1, 25
Factor -2*w**3/11 - 424*w**2/11 - 22472*w/11.
-2*w*(w + 106)**2/11
Solve -f**5/7 + 10*f**4/7 - 33*f**3/7 + 32*f**2/7 + 4*f - 48/7 = 0 for f.
-1, 2, 3, 4
Suppose 2*j**2 + 24*j + 72 = 0. What is j?
-6
Factor -4*i**2 + 4888*i - 1493284.
-4*(i - 611)**2
Factor 2*b**2/5 - 192*b/5 + 38.
2*(b - 95)*(b - 1)/5
Factor i**4/3 + 22*i**3/3 + 7*i**2.
i**2*(i + 1)*(i + 21)/3
Solve -15*p**3 + 215*p**2 - 805*p + 245 = 0 for p.
1/3, 7
Factor 4*a**3 - 4*a**2 - 56*a + 96.
4*(a - 3)*(a - 2)*(a + 4)
Factor a**2/7 + 78*a/7 + 11.
(a + 1)*(a + 77)/7
Determine y so that -5*y**2/2 + 4970*y - 2470090 = 0.
994
Factor -s**2/3 - 250*s/3.
-s*(s + 250)/3
Solve 5*f**2 + 15*f = 0.
-3, 0
Factor -3*m**5/4 + 39*m**4/4 + 87*m**3/4 + 45*m**2/4.
-3*m**2*(m - 15)*(m + 1)**2/4
Determine o so that 4*o**2/3 + 568*o/3 + 20164/3 = 0.
-71
Solve -5*k**2 + 125*k = 0.
0, 25
Facto