*q/4 - 21/2 = 0. What is q?
-7, 1, 2
Find t such that -20*t**5/7 - 62*t**4/7 - 24*t**3/7 + 62*t**2/7 + 44*t/7 = 0.
-2, -11/10, -1, 0, 1
Solve p**3/3 - 148*p**2/3 - 257*p + 306 = 0 for p.
-6, 1, 153
Solve -2*b**3/11 - 24*b**2/11 - 58*b/11 - 36/11 = 0 for b.
-9, -2, -1
Factor 2*s**3 + 120*s**2 - 1974*s - 150212.
2*(s - 34)*(s + 47)**2
Factor -2*n**2 + 108*n - 1458.
-2*(n - 27)**2
Factor 3*p**4 - 42*p**3 - 900*p**2 + 1914*p - 975.
3*(p - 25)*(p - 1)**2*(p + 13)
Factor 3*z**3/4 - 357*z**2/2 + 711*z/4.
3*z*(z - 237)*(z - 1)/4
Factor v**5 + 7*v**4 - 9*v**3 - 7*v**2 + 8*v.
v*(v - 1)**2*(v + 1)*(v + 8)
Factor 10*v**2 + 5*v - 75.
5*(v + 3)*(2*v - 5)
Factor -4*u**4/3 - 4*u**3 - 8*u**2/3.
-4*u**2*(u + 1)*(u + 2)/3
Determine a so that 2*a**2 - 2096*a + 6270 = 0.
3, 1045
Factor 2*n**2/3 - 10*n/3.
2*n*(n - 5)/3
Let -2*n**3/3 - 100*n**2/3 - 1250*n/3 = 0. Calculate n.
-25, 0
Factor -18*l**2 - 21*l.
-3*l*(6*l + 7)
Let -l**3/4 - 17*l**2/2 - 289*l/4 = 0. What is l?
-17, 0
Factor 5*r**2 - 220*r + 215.
5*(r - 43)*(r - 1)
Find t such that 4*t**2 + 500*t + 9064 = 0.
-103, -22
Factor 32*w**2/23 + 22*w/23 - 10/23.
2*(w + 1)*(16*w - 5)/23
Factor 2*m**5 - 8*m**4 + 4*m**3 + 8*m**2 - 6*m.
2*m*(m - 3)*(m - 1)**2*(m + 1)
Let 22*t**4/7 - 268*t**3/7 + 48*t**2/7 = 0. What is t?
0, 2/11, 12
Suppose o**2 - 13*o + 30 = 0. Calculate o.
3, 10
Let -100*t**5 - 860*t**4 - 1044*t**3 + 2924*t**2 - 1016*t + 96 = 0. Calculate t.
-6, -4, 1/5, 1
Find h such that -2*h**2 + 1146*h + 2300 = 0.
-2, 575
Factor a**3/7 + 52*a**2/7 + 676*a/7.
a*(a + 26)**2/7
Let -5*b**5 - 3280*b**4 - 806880*b**3 - 88218880*b**2 - 3616974080*b = 0. Calculate b.
-164, 0
What is z in 3*z**5 - 42*z**4/5 + 39*z**3/5 - 12*z**2/5 = 0?
0, 4/5, 1
Suppose -2*n**3/15 - 2*n**2 - 8*n/5 + 56/15 = 0. What is n?
-14, -2, 1
Suppose 4*k**4/11 - 10*k**3/11 - 16*k**2/11 + 34*k/11 - 12/11 = 0. Calculate k.
-2, 1/2, 1, 3
Factor -l**2/2 - 6*l - 11/2.
-(l + 1)*(l + 11)/2
Find a, given that 4*a**4 - 2568*a**3 + 412164*a**2 = 0.
0, 321
Factor 2*k**3 + 1654*k**2 - 1656*k.
2*k*(k - 1)*(k + 828)
Solve -s**5/6 + 23*s**4 - 407*s**3/6 + 45*s**2 = 0 for s.
0, 1, 2, 135
Factor -2*p**2/3 + 8*p + 26/3.
-2*(p - 13)*(p + 1)/3
Suppose -5*c**3 + 70*c**2 + 155*c + 80 = 0. What is c?
-1, 16
Factor 11*t**2 + 56*t + 68.
(t + 2)*(11*t + 34)
Factor -2*b**2 + 1080*b - 1078.
-2*(b - 539)*(b - 1)
Determine c so that c**3/2 - 77*c**2/2 - 119*c - 80 = 0.
-2, -1, 80
Factor 2*h**4 - 42*h**3 + 146*h**2 - 174*h + 68.
2*(h - 17)*(h - 2)*(h - 1)**2
Factor -2*g**2 + 32*g + 520.
-2*(g - 26)*(g + 10)
Solve -6591*c**5/2 + 3549*c**4/2 + 897663*c**3 + 413934*c**2 + 63660*c + 3264 = 0 for c.
-16, -2/13, 17
Factor 3*m**3/8 + 93*m**2/8 + 129*m/4 + 21.
3*(m + 1)*(m + 2)*(m + 28)/8
Suppose m**4 + 13*m**3 - 125*m**2 + 291*m - 180 = 0. Calculate m.
-20, 1, 3
Factor -v**2/4 + 1613*v/4 - 1611/2.
-(v - 1611)*(v - 2)/4
Solve 2*d**3/11 + 1322*d**2/11 + 19920*d + 19800 = 0.
-330, -1
Factor -4*m**4 + 88*m**3 - 212*m**2 - 3952*m + 8112.
-4*(m - 13)**2*(m - 2)*(m + 6)
Solve -o**4 - 10*o**3 - 32*o**2 - 32*o = 0 for o.
-4, -2, 0
Find c, given that -c**3 - 31*c**2 + 332*c + 780 = 0.
-39, -2, 10
Factor 5*k**2 - 210*k + 2205.
5*(k - 21)**2
Factor -5*b**4 + 645*b**3 - 27735*b**2 + 397535*b.
-5*b*(b - 43)**3
Find x, given that -x**4 - 3*x**3/2 + 9*x**2/2 - x/2 - 3/2 = 0.
-3, -1/2, 1
Factor -3*x**2 + 1323.
-3*(x - 21)*(x + 21)
Find j such that j**3/4 + 7*j**2/4 - 41*j/4 + 33/4 = 0.
-11, 1, 3
Determine t, given that -4*t**3/5 - 32*t**2/5 - 36*t/5 + 72/5 = 0.
-6, -3, 1
Let -k**2/4 + 1731*k/4 = 0. Calculate k.
0, 1731
Find g such that g**5 + g**4 - 3*g**3 - 5*g**2 - 2*g = 0.
-1, 0, 2
Suppose -245*m**4 - 30240*m**3 - 924440*m**2 + 535680*m - 76880 = 0. Calculate m.
-62, 2/7
Factor 38*w**2 - 384*w + 40.
2*(w - 10)*(19*w - 2)
What is u in 3*u**5 - 1596*u**4/5 + 5301*u**3/5 - 4956*u**2/5 + 1236*u/5 = 0?
0, 2/5, 1, 2, 103
Suppose 2*o**3 - 14*o + 12 = 0. What is o?
-3, 1, 2
Let 2*c**2/11 - 136*c/11 - 138/11 = 0. Calculate c.
-1, 69
Factor 2*m**4/11 - 4*m**3/11 - 30*m**2/11 + 72*m/11.
2*m*(m - 3)**2*(m + 4)/11
Factor s**3/2 + 157*s**2/2 + 77*s - 156.
(s - 1)*(s + 2)*(s + 156)/2
Factor -2*k**2/5 + 222*k/5 - 44.
-2*(k - 110)*(k - 1)/5
Factor m**3/7 - 32*m**2/7 + 61*m/7 - 30/7.
(m - 30)*(m - 1)**2/7
Solve -5*k**3 - 55*k**2 + 325*k + 375 = 0.
-15, -1, 5
What is r in -3*r**2 + 1404*r - 164268 = 0?
234
Suppose -w**4 + w**3 + 3*w**2 - w - 2 = 0. Calculate w.
-1, 1, 2
Factor -4*l**4 - 224*l**3 - 4104*l**2 - 23104*l + 27436.
-4*(l - 1)*(l + 19)**3
Suppose 3*t**3 + 54*t**2/5 - 33*t/5 - 36/5 = 0. Calculate t.
-4, -3/5, 1
Solve 5*w**5 - 5*w**3 = 0.
-1, 0, 1
Determine s so that s**2 + 1171*s + 2338 = 0.
-1169, -2
What is o in 5*o**5 - 30*o**4 + 160*o**2 = 0?
-2, 0, 4
Find q, given that -q**3/2 - 227*q**2/6 + 307*q/6 - 77/6 = 0.
-77, 1/3, 1
Let 54*i**5 - 231*i**4 + 189*i**3 + 81*i**2 - 75*i - 18 = 0. What is i?
-1/2, -2/9, 1, 3
Find m such that -10*m**5 - 25*m**4/2 + 875*m**3/2 - 850*m**2 - 240*m = 0.
-8, -1/4, 0, 3, 4
Let -5*v**4/3 - 20*v**3/3 + 35*v**2/3 + 50*v/3 = 0. Calculate v.
-5, -1, 0, 2
Suppose -145*u**2 - 130*u + 15 = 0. Calculate u.
-1, 3/29
Let -2*l**5/3 + 2*l**4/3 + 8*l**3/3 - 8*l**2/3 = 0. What is l?
-2, 0, 1, 2
Find l, given that 410*l**3 + 20495*l**2 + 256000*l - 3125 = 0.
-25, 1/82
Solve -2*f**2/3 - 11360*f/3 - 16131200/3 = 0.
-2840
Let 4*f**2 + 7968*f + 7964 = 0. What is f?
-1991, -1
Factor q**2/5 + 8*q/5 - 4.
(q - 2)*(q + 10)/5
Factor -d**3/7 + 22*d**2/7 + 100*d/7 + 104/7.
-(d - 26)*(d + 2)**2/7
Factor -2*r**2/7 - 12*r/7 + 320/7.
-2*(r - 10)*(r + 16)/7
Factor -2*h**4/9 + 80*h**3/9 - 76*h**2/3 + 224*h/9 - 74/9.
-2*(h - 37)*(h - 1)**3/9
Factor -50*h**3/7 + 160*h**2/7 - 138*h/7 + 36/7.
-2*(h - 2)*(5*h - 3)**2/7
Suppose -2*c**3 + 100*c**2 - 192*c = 0. Calculate c.
0, 2, 48
Factor 3*d**4 - 4*d**3 - 14*d**2 - 4*d + 3.
(d - 3)*(d + 1)**2*(3*d - 1)
Let -200*i**5 + 760*i**4 - 442*i**3 - 112*i**2 - 6*i = 0. Calculate i.
-1/10, 0, 1, 3
Factor 5*m**2 - 1040*m + 54080.
5*(m - 104)**2
What is z in 2*z**4 - 28*z**3 + 50*z**2 - 24*z = 0?
0, 1, 12
Solve -50*a**5 + 90*a**4 + 452*a**3 + 8*a**2 - 240*a + 64 = 0 for a.
-2, -1, 2/5, 4
Factor 7*v**2/3 - 46*v/3 - 7.
(v - 7)*(7*v + 3)/3
Suppose r**2/9 - 25*r/9 = 0. Calculate r.
0, 25
Suppose -5*d**2 + 10*d + 240 = 0. Calculate d.
-6, 8
Solve 21*h**3 + 1532*h**2 + 1444*h + 288 = 0.
-72, -2/3, -2/7
Suppose -f**3/4 - f**2 + 11*f + 24 = 0. Calculate f.
-8, -2, 6
Factor 5*z**2 - 435*z + 1260.
5*(z - 84)*(z - 3)
Factor 43*c**2/2 - 214*c - 10.
(c - 10)*(43*c + 2)/2
Factor t**4/8 + 7*t**3/8 - 9*t**2/8 - 7*t/8 + 1.
(t - 1)**2*(t + 1)*(t + 8)/8
Determine s, given that -4*s**3/7 - 36*s**2/7 - 60*s/7 + 100/7 = 0.
-5, 1
Factor 5*p**2 - 380*p + 375.
5*(p - 75)*(p - 1)
Factor 2*c**4/5 - 8*c**3/5 - 2*c**2.
2*c**2*(c - 5)*(c + 1)/5
Factor f**2/2 + 51*f/2 + 49.
(f + 2)*(f + 49)/2
Factor -722*b**2/15 - 1432*b/15 + 8/5.
-2*(b + 2)*(361*b - 6)/15
Find m such that 2*m**3/11 - 28*m**2/11 - 62*m/11 - 32/11 = 0.
-1, 16
Suppose -3*u**3/7 + 6*u**2/7 + 585*u/7 = 0. What is u?
-13, 0, 15
Factor 4*q**3/9 + 1384*q**2 + 1436592*q + 497060832.
4*(q + 1038)**3/9
Solve -2*a**3/9 + 8*a**2/9 + 64*a/9 = 0 for a.
-4, 0, 8
What is z in -144*z**3 - 174*z**2 + 21*z + 51 = 0?
-1, -17/24, 1/2
Factor -u**4 + 4*u**3 - 3*u**2.
-u**2*(u - 3)*(u - 1)
Determine s, given that 4*s**2 + 29728*s + 55234624 = 0.
-3716
Factor 18*j**3 - 102*j**2 + 176*j - 96.
2*(j - 3)*(3*j - 4)**2
Find x, given that 3*x**3 + 6*x**2 - 117*x + 216 = 0.
-8, 3
Solve c**3/4 - 17*c**2/2 + 195*c/4 - 81/2 = 0.
1, 6, 27
Suppose -14*w**5/5 + 284*w**4/5 - 1354*w**3/5 + 364*w**2/5 = 0. Calculate w.
0, 2/7, 7, 13
Factor -4*h**2 - 56*h + 2304.
-4*(h - 18)*(h + 32)
Suppose -a**3 - 74*a**2 - 665*a - 1600 = 0. What is a?
-64, -5
Let r**4/2 + 3*r**3 - 11*r + 15/2 = 0. Calculate r.
-5, -3, 1
Find q, given that -q**3/4 + 775*q**2 - 600625*q = 0.
0, 1550
Factor -2*n**2 + 54*n.
-2*n*(n - 27)
Factor 5*y**4/2 - 10*y**3 - 135*y**2/2 - 95*y - 40.
5*(y - 8)*(y + 1)**2*(y + 2)/2
What is l in -3*l**4 + 9*l**3 + 21*l**2 - 45*l - 54 = 0?
-2, -1, 3
Suppose 2*m**2/3 + 76*m + 2166 = 0. Calculate m.
-57
Suppose -3*p**3 + 42*p**2 - 33*p - 78 = 0. Calculate p.
-1, 2, 13
Factor -2*n**2 + 56*n - 320.
-2*(n - 20)*(n - 8)
Factor -4*w**4 - 80*w**3 - 532*w**2 - 1464*w - 1440.
-4*(w + 3)**