+ 116)/5
Solve -5*w**5 + 25*w**4 - 40*w**3 + 20*w**2 = 0.
0, 1, 2
Suppose 2*n**5/5 + 4*n**4/3 - 22*n**3/15 - 92*n**2/15 - 8*n/15 + 16/5 = 0. Calculate n.
-3, -2, -1, 2/3, 2
Factor k**4/2 - 3*k**3 - 25*k**2/2 - 9*k.
k*(k - 9)*(k + 1)*(k + 2)/2
Factor 5*i**3 + 55*i**2 + 170*i + 120.
5*(i + 1)*(i + 4)*(i + 6)
Let a**3 + a**2 - 2*a = 0. What is a?
-2, 0, 1
Factor -5*k**2 + 115*k - 110.
-5*(k - 22)*(k - 1)
Determine d so that 5*d**3 + 120*d**2 + 105*d - 230 = 0.
-23, -2, 1
Find u such that -3*u**5/4 + 39*u**4/4 - 123*u**3/4 + 141*u**2/4 - 27*u/2 = 0.
0, 1, 2, 9
Factor -129*a**2 + 12*a.
-3*a*(43*a - 4)
Factor 2*p**4/11 - 82*p**3/11 + 234*p**2/11 - 230*p/11 + 76/11.
2*(p - 38)*(p - 1)**3/11
Let -w**3/4 + 34*w**2 - 269*w/4 + 67/2 = 0. What is w?
1, 134
Determine d so that -d**2/4 - d/4 + 3 = 0.
-4, 3
Find b such that 2*b**5/7 - 16*b**4/7 - 4*b**3/7 + 32*b**2/7 + 2*b/7 - 16/7 = 0.
-1, 1, 8
Solve -2*y**3 - 678*y**2 + 1362*y - 682 = 0.
-341, 1
Let -3*l**5/5 + 9*l**4/5 + 18*l**3/5 - 24*l**2/5 = 0. Calculate l.
-2, 0, 1, 4
Suppose 3964081*l**2/5 + 15928*l/5 + 16/5 = 0. What is l?
-4/1991
Solve m**4/7 - 22*m**3/7 + 87*m**2/7 + 158*m/7 - 32 = 0 for m.
-2, 1, 7, 16
Suppose -p**4/3 + 11*p**3/3 - 6*p**2 = 0. Calculate p.
0, 2, 9
Factor -2*n**2/5 - 56*n/5 + 408/5.
-2*(n - 6)*(n + 34)/5
What is d in -d**5 - 3*d**4/2 + 3*d**3/2 + d**2 = 0?
-2, -1/2, 0, 1
Let 2*d**2/9 + 28*d/9 - 46 = 0. What is d?
-23, 9
Factor -2*a**2/7 + 316*a/7 - 12482/7.
-2*(a - 79)**2/7
Determine w, given that 3*w**4/7 - 701*w**3/7 - 234*w**2/7 = 0.
-1/3, 0, 234
Solve 2*g**5/11 + 80*g**4/11 + 74*g**3/11 - 156*g**2/11 = 0 for g.
-39, -2, 0, 1
Solve 243*h**4/5 - 513*h**3/5 - 1113*h**2/5 + 309*h - 90 = 0 for h.
-2, 5/9, 3
Solve -4*v**3/7 + 844*v**2/7 + 36*v/7 - 7596/7 = 0 for v.
-3, 3, 211
Factor -z**3/3 - 23*z**2/3 - 160*z/3 - 100.
-(z + 3)*(z + 10)**2/3
Factor 2*c**2 + 544*c - 546.
2*(c - 1)*(c + 273)
Solve v**4 + 10*v**3/3 - 25*v**2/3 = 0 for v.
-5, 0, 5/3
Solve -2*r**3/9 - 34*r**2/9 - 32*r/9 = 0 for r.
-16, -1, 0
Factor 5*l**2/2 + 25*l/2 - 35.
5*(l - 2)*(l + 7)/2
Factor -w**4 + 154*w**3 - 5613*w**2 - 24332*w - 24964.
-(w - 79)**2*(w + 2)**2
Factor 2*w**3/13 - 20*w**2/13 - 2*w/13 + 20/13.
2*(w - 10)*(w - 1)*(w + 1)/13
What is a in 30*a**3 - a**2 = 0?
0, 1/30
Find p, given that -19*p**4 + 115*p**3 + 127*p**2 - 7*p = 0.
-1, 0, 1/19, 7
Find r, given that 3*r**5 + 844*r**4 + 278*r**3 - 844*r**2 - 281*r = 0.
-281, -1, -1/3, 0, 1
Factor 3*c**3 + 24*c**2 - 27*c.
3*c*(c - 1)*(c + 9)
Solve 2*n**3/9 + 1066*n**2 + 3836800*n/3 + 11500808/9 = 0 for n.
-2398, -1
Find d such that 2*d**3/3 + 50*d**2/3 + 86*d/3 - 46 = 0.
-23, -3, 1
What is s in -s**3 + 66*s**2 + 276*s + 280 = 0?
-2, 70
Factor -8*s**4/3 + 88*s**3/3 + 94*s**2/3 + 8*s.
-2*s*(s - 12)*(2*s + 1)**2/3
Find u, given that -5*u**2 + 170*u + 175 = 0.
-1, 35
Factor -w**2 - 138*w.
-w*(w + 138)
Factor 4*r**3 - 1700*r**2 + 10092*r - 15084.
4*(r - 419)*(r - 3)**2
Factor g**4/9 + 7*g**3/3 + 15*g**2 + 275*g/9.
g*(g + 5)**2*(g + 11)/9
Solve 14*a**5/3 + 846*a**4 + 3244*a**3/3 + 240*a**2 = 0 for a.
-180, -1, -2/7, 0
Solve 98*b**4/3 - 182*b**3/3 - 36*b**2 + 128*b/3 + 64/3 = 0.
-4/7, 1, 2
Factor 4*i**5 - 188*i**4 + 2476*i**3 - 6340*i**2 + 5984*i - 1936.
4*(i - 22)**2*(i - 1)**3
Determine n, given that 2*n**5/7 - 6*n**3/7 + 4*n**2/7 = 0.
-2, 0, 1
Determine j so that -j**2 - 186*j - 8649 = 0.
-93
Determine w, given that -w**2/9 - 401*w/9 + 806/9 = 0.
-403, 2
Find v such that -2*v**3 + 62*v**2 - 510*v + 450 = 0.
1, 15
Factor 2*k**5 + 109*k**4 + 1566*k**3 + 8964*k**2 + 19656*k + 7776.
(k + 6)**3*(k + 36)*(2*k + 1)
Solve 2*b**3/5 - 784*b**2 + 384160*b = 0 for b.
0, 980
Suppose -s**2/2 - 3*s = 0. Calculate s.
-6, 0
Factor u**4/11 + 12*u**3/11 + 4*u**2/11 - 192*u/11 + 256/11.
(u - 2)**2*(u + 8)**2/11
Factor -2*f**5/17 + 1202*f**4/17 - 178790*f**3/17 - 543602*f**2/17 - 546016*f/17 - 182408/17.
-2*(f - 302)**2*(f + 1)**3/17
Factor -i**2/3 - 560*i/3 - 2224/3.
-(i + 4)*(i + 556)/3
Suppose -2*t**4 - 24*t**3/13 + 782*t**2/13 - 60*t/13 = 0. What is t?
-6, 0, 1/13, 5
Factor 3*b**4/8 + 3*b**3/4 - 63*b**2/8 + 27*b/4.
3*b*(b - 3)*(b - 1)*(b + 6)/8
Factor 4*y**2 + 384*y + 9216.
4*(y + 48)**2
Factor -2*p**5/23 - 58*p**4/23 + 252*p**3/23 - 388*p**2/23 + 262*p/23 - 66/23.
-2*(p - 1)**4*(p + 33)/23
Factor -3*z**2 + 9084*z - 6876588.
-3*(z - 1514)**2
Solve -360*m**2 + 1077*m + 9 = 0 for m.
-1/120, 3
Solve o**5/2 - 45*o**4/4 + 101*o**3/4 - 9*o**2/2 - 10*o = 0.
-1/2, 0, 1, 2, 20
Factor b**2/2 - 79*b/2 + 39.
(b - 78)*(b - 1)/2
Let -s**2/2 + 77*s/2 - 75 = 0. What is s?
2, 75
Factor 4*f**4 + 40*f**3 + 100*f**2.
4*f**2*(f + 5)**2
Factor 25*n**4 - 155*n**3 + 300*n**2 - 180*n.
5*n*(n - 3)*(n - 2)*(5*n - 6)
Factor m**2/4 + 25*m - 51.
(m - 2)*(m + 102)/4
Factor -2*x**2 - 2*x + 4.
-2*(x - 1)*(x + 2)
Factor 20*f**3 - 252*f**2 - 104*f.
4*f*(f - 13)*(5*f + 2)
Solve -28*v**3/3 - 10*v**2/3 + 28*v/3 + 10/3 = 0 for v.
-1, -5/14, 1
Factor -2*n**4 + 12*n**3 - 24*n**2 + 16*n.
-2*n*(n - 2)**3
Let -p**2 - 4*p = 0. What is p?
-4, 0
Let 3*p**3 + 45*p**2/2 - 27*p/2 - 12 = 0. What is p?
-8, -1/2, 1
Find h such that -518*h**4 + 324*h**3 + 946*h**2 - 792*h + 40 = 0.
-10/7, 2/37, 1
Factor 4*f**3 - 56*f**2 + 228*f - 288.
4*(f - 8)*(f - 3)**2
Let -2*y**4/3 - 14*y**3/3 - 28*y**2/3 - 16*y/3 = 0. What is y?
-4, -2, -1, 0
Suppose -2*m**5/3 - 2*m**4/3 + 2*m**3/3 + 2*m**2/3 = 0. Calculate m.
-1, 0, 1
Let -z**3/5 - 3*z**2/5 + 13*z/5 + 3 = 0. What is z?
-5, -1, 3
Factor 2*v**3/7 + 54*v**2/7 - 2*v/7 - 54/7.
2*(v - 1)*(v + 1)*(v + 27)/7
Suppose 2*c**2/11 - 40*c/11 + 72/11 = 0. What is c?
2, 18
Let -m**5 - 119*m**4 - 1020*m**3 - 3344*m**2 - 4864*m - 2640 = 0. Calculate m.
-110, -3, -2
Let 4*i**2/3 - 36*i - 624 = 0. What is i?
-12, 39
Solve -3*k**2 - 15*k + 42 = 0 for k.
-7, 2
Factor 3*n**2 + 78*n - 1521.
3*(n - 13)*(n + 39)
What is g in g**3/4 + g**2/2 - 3*g/4 = 0?
-3, 0, 1
Factor -a**4 - 8*a**3 + 123*a**2 - 130*a - 800.
-(a - 5)**2*(a + 2)*(a + 16)
Find x such that x**2/2 - 583*x/2 = 0.
0, 583
Solve -4*x**2 + 16320*x - 16646400 = 0 for x.
2040
Suppose 14*p**5 + 158*p**4 - 306*p**3 + 82*p**2 + 52*p = 0. Calculate p.
-13, -2/7, 0, 1
Determine m, given that 3*m**5 + 14*m**4 - 26*m**3 - 8*m**2 + 23*m - 6 = 0.
-6, -1, 1/3, 1
Let 4*r**5 - 584*r**4 + 21888*r**3 - 41472*r**2 = 0. Calculate r.
0, 2, 72
Factor -4*c**4 + 84*c**3/5 - 96*c**2/5 + 16*c/5.
-4*c*(c - 2)**2*(5*c - 1)/5
Let -b**5/2 + 15*b**4/2 - 13*b**3 - b**2 + 27*b/2 - 13/2 = 0. Calculate b.
-1, 1, 13
Factor -5*h**5 - 1395*h**4 - 81735*h**3 + 2143715*h**2 - 16023000*h + 38587500.
-5*(h - 7)**3*(h + 150)**2
Determine d so that -2*d**5/11 - 420*d**4/11 - 22876*d**3/11 - 86936*d**2/11 - 106914*d/11 - 42436/11 = 0.
-103, -2, -1
Suppose 5*s**5 + 12890*s**4 + 11068205*s**3 + 3158104900*s**2 - 6349466000*s + 3180280000 = 0. What is s?
-860, 1
Factor u**3/3 + 102*u**2 + 1208*u/3.
u*(u + 4)*(u + 302)/3
Factor 3*p**2.
3*p**2
Let 16*w**4/3 - 56*w**3 + 601*w**2/3 - 280*w + 400/3 = 0. Calculate w.
5/4, 4
Find a such that -18*a**4/7 + 10*a**3 - 64*a**2/7 - 8*a/7 = 0.
-1/9, 0, 2
Factor 2*j**2/11 + 6932*j/11 + 6006578/11.
2*(j + 1733)**2/11
Factor -m**5/3 + 8*m**4/3 - 8*m**3 + 32*m**2/3 - 16*m/3.
-m*(m - 2)**4/3
Factor 5*w**2 + 25*w + 20.
5*(w + 1)*(w + 4)
Let -2*b**5/5 + 26*b**4/5 + 8*b**3/5 - 104*b**2/5 = 0. What is b?
-2, 0, 2, 13
Let q**2/6 + q = 0. Calculate q.
-6, 0
Find d, given that -18*d**3/11 - 22*d**2 - 104*d/11 = 0.
-13, -4/9, 0
Let -5*b**3/3 + 47*b**2/3 - 58*b/3 + 16/3 = 0. What is b?
2/5, 1, 8
Factor -k**3/3 - 11*k**2/3.
-k**2*(k + 11)/3
Factor 15*g**4 - 27*g**3 - 6*g**2.
3*g**2*(g - 2)*(5*g + 1)
Factor 5*q**3 + 75*q**2 + 360*q + 560.
5*(q + 4)**2*(q + 7)
Find z, given that -5*z**3 + 770*z**2 + 775*z = 0.
-1, 0, 155
Factor 2*a**2/3 - 352*a/3 - 118.
2*(a - 177)*(a + 1)/3
Factor -5*t**3 + 50*t**2 - 135*t + 90.
-5*(t - 6)*(t - 3)*(t - 1)
Suppose 3*v**4/4 + 75*v**3/4 + 117*v**2 = 0. What is v?
-13, -12, 0
Find g such that 5*g**4 - 480*g**3 + 12440*g**2 - 44160*g + 42320 = 0.
2, 46
Factor 4*j**3 - 264*j**2 + 1008*j - 992.
4*(j - 62)*(j - 2)**2
Solve 13*z**4/5 + 66*z**3/5 + 83*z**2/5 + 6*z/5 = 0.
-3, -2, -1/13, 0
Factor z**3 + 4*z**2 + z - 6.
(z - 1)*(z + 2)*(z + 3)
Solve 2*b**4/9 + 116*b**3/9 + 1792*b**2/9 + 3136*b/9 = 0 for b.
-28, -2, 0
Suppose -3*x**4 - 6*x**3 + 36*x**2 + 120*x 