4*t**4/7 + 464*t**3/7 - 2880*t**2/7 - 55296*t/7 + 442368/7.
-(t - 12)**3*(t + 16)**2/7
Let 10*w**3/9 + 128*w**2/9 + 274*w/9 - 20/3 = 0. What is w?
-10, -3, 1/5
Suppose -12*j**4 + 4*j**3 + 124*j**2 + 188*j + 80 = 0. What is j?
-5/3, -1, 4
Solve w**2/6 + 25*w/6 + 4 = 0 for w.
-24, -1
Let 2*h**5/5 - 6*h**4/5 = 0. What is h?
0, 3
Factor -h**2 - 8*h + 9.
-(h - 1)*(h + 9)
What is n in -4*n**3 - 84*n**2 - 396*n + 484 = 0?
-11, 1
Determine o, given that -o**2 + 178*o - 7921 = 0.
89
Factor 2*i**2/7 - 908*i/7 + 906/7.
2*(i - 453)*(i - 1)/7
Find q such that 5*q**3 - 20*q**2 - 1045*q - 1020 = 0.
-12, -1, 17
Determine z, given that 2*z**4/3 + 2048*z**3/3 + 262144*z**2 + 134217728*z/3 + 8589934592/3 = 0.
-256
Determine g so that -55*g**4/2 - 104*g**3 - 84*g**2 + 32*g + 8 = 0.
-2, -2/11, 2/5
Determine p, given that 6*p**3/17 + 290*p**2/17 + 96*p/17 = 0.
-48, -1/3, 0
Solve 3*m**4 + 780*m**3 - 1575*m**2 - 780*m + 1572 = 0.
-262, -1, 1, 2
Factor 2*w**3/5 + 368*w**2/5 - 8822*w/5 + 49852/5.
2*(w - 11)**2*(w + 206)/5
Factor 3*s**4 - 87*s**3 - 93*s**2 + 87*s + 90.
3*(s - 30)*(s - 1)*(s + 1)**2
Factor -2*r**4 - 74*r**3 + 6*r**2 + 218*r - 148.
-2*(r - 1)**2*(r + 2)*(r + 37)
Determine k so that -k**4/2 + 7*k**3 + 35*k**2/2 - 24*k = 0.
-3, 0, 1, 16
Suppose o**2/10 - 8/5 = 0. Calculate o.
-4, 4
Factor 3*q**3 + 9*q**2 - 39*q - 45.
3*(q - 3)*(q + 1)*(q + 5)
Solve 5*d**3 - 25*d**2 + 30*d = 0.
0, 2, 3
Solve c**4/2 + 7*c**3/2 - 9*c**2 = 0 for c.
-9, 0, 2
Determine k, given that k**4/2 - 32*k**3 + 143*k**2 + 11808*k + 136161/2 = 0.
-9, 41
Solve 3*v**3 + 69*v**2 + 321*v + 255 = 0 for v.
-17, -5, -1
Determine g, given that -g**5/3 - 2*g**4/3 + 12*g**3 + 2*g**2/3 - 35*g/3 = 0.
-7, -1, 0, 1, 5
Factor 2*i**2/3 - 266*i/3 - 180.
2*(i - 135)*(i + 2)/3
Suppose 4*i**2 - 20*i - 504 = 0. Calculate i.
-9, 14
What is n in -196*n**2 + 1008*n - 1296 = 0?
18/7
Let -64*d**4 - 480*d**3 - 228*d**2 - 28*d = 0. What is d?
-7, -1/4, 0
Factor -2*f**2/7 - 38*f/7 - 176/7.
-2*(f + 8)*(f + 11)/7
Solve i**2 - 126*i + 2288 = 0.
22, 104
Factor -3*l**3/8 + 69*l**2/8 - 15*l/2 - 33/2.
-3*(l - 22)*(l - 2)*(l + 1)/8
Factor -n**2/4 - 58*n - 231/4.
-(n + 1)*(n + 231)/4
Factor 2*i**3/17 - 42*i**2/17 + 144*i/17 - 8.
2*(i - 17)*(i - 2)**2/17
Factor 2*n**2 + 16*n + 24.
2*(n + 2)*(n + 6)
Factor -5*r**3 + 40*r**2 + 60*r - 720.
-5*(r - 6)**2*(r + 4)
Factor 4*k**2/5 + 184*k/5 + 36.
4*(k + 1)*(k + 45)/5
Solve -f**5/4 + 9*f**4/4 + 17*f**3/4 - 69*f**2/4 - 4*f + 15 = 0 for f.
-3, -1, 1, 2, 10
Factor 5*z**3 + 60*z**2 + 180*z + 160.
5*(z + 2)**2*(z + 8)
Let -6*g**5 - 975*g**4/2 + 1761*g**3/2 + 1473*g**2/2 - 1749*g/2 - 249 = 0. What is g?
-83, -1, -1/4, 1, 2
Determine p so that -10*p**4 - 526*p**3 + 2452*p**2 - 3176*p + 912 = 0.
-57, 2/5, 2
Factor -2*v**3/7 + 4*v**2/7.
-2*v**2*(v - 2)/7
Factor i**2/3 + 71*i/3 + 610/3.
(i + 10)*(i + 61)/3
Determine n, given that 4*n**3 + 824*n**2 + 45540*n + 313632 = 0.
-99, -8
Solve -3*a**5/4 - 25*a**4/4 - 59*a**3/4 - 11*a**2/4 + 37*a/2 + 6 = 0.
-4, -3, -2, -1/3, 1
Determine c, given that c**4 - 34*c**3 + 349*c**2 - 1020*c + 900 = 0.
2, 15
Factor 2*a**3/9 + 10*a**2 + 172*a/9.
2*a*(a + 2)*(a + 43)/9
Factor 49*i**3 + 149*i**2 + 6*i.
i*(i + 3)*(49*i + 2)
Find a, given that a**5/3 + a**4/3 - 2*a**3/3 = 0.
-2, 0, 1
Determine f, given that -207*f**4/4 + 30*f**3 + 495*f**2/4 + 45*f + 3 = 0.
-1, -1/3, -2/23, 2
Solve -5*h**5/3 + 5*h**4 + 110*h**3/3 - 370*h**2/3 + 125*h - 125/3 = 0.
-5, 1, 5
Solve 4*h**3/5 + 36*h**2/5 - 64*h/5 - 48 = 0.
-10, -2, 3
Solve -3*a**5/2 + 24*a**4 - 21*a**3 - 24*a**2 + 45*a/2 = 0 for a.
-1, 0, 1, 15
Solve 2*v**5/13 - 50*v**4/13 + 36*v**3 - 2020*v**2/13 + 3850*v/13 - 2250/13 = 0.
1, 5, 9
Factor -r**2/2 + 3303*r - 10909809/2.
-(r - 3303)**2/2
Determine q so that 2*q**2/5 + 76*q/5 - 1078/5 = 0.
-49, 11
Let -4*w**3 + 4*w**2 + 164*w - 420 = 0. Calculate w.
-7, 3, 5
Suppose -2*y**5 - 8*y**4/15 + 8*y**3/15 = 0. What is y?
-2/3, 0, 2/5
What is q in -3*q**4/2 + 36*q**3 + 177*q**2/2 - 279*q + 156 = 0?
-4, 1, 26
Find c, given that -8*c**3 + 12*c**2 + 12*c - 8 = 0.
-1, 1/2, 2
Factor 8*y**2 - 2258*y + 564.
2*(y - 282)*(4*y - 1)
Find y, given that 2*y**2/11 - 6*y/11 - 8/11 = 0.
-1, 4
Suppose -6*a**3/7 - 8*a**2 + 6*a + 20/7 = 0. Calculate a.
-10, -1/3, 1
Determine j, given that 3*j**4/2 + 51*j**3/4 - 33*j**2 - 51*j/4 + 63/2 = 0.
-21/2, -1, 1, 2
Let 9*l**4 - 690*l**3 + 12757*l**2 + 17940*l + 6084 = 0. Calculate l.
-2/3, 39
Let 5*p**4 - 235*p**3 - 735*p**2 - 745*p - 250 = 0. What is p?
-1, 50
Suppose -2*c**4/13 + 7240*c**3/13 - 6544956*c**2/13 - 13111640*c/13 - 6559442/13 = 0. Calculate c.
-1, 1811
Solve -2*t**3/11 - 4*t**2/11 + 40*t/11 - 48/11 = 0 for t.
-6, 2
Let y**3/3 + 14*y**2/3 + 40*y/3 = 0. What is y?
-10, -4, 0
Solve 5*u**4 - 10*u**3 - 75*u**2 = 0 for u.
-3, 0, 5
Solve -2*r**5/19 - 48*r**4/19 - 384*r**3/19 - 1060*r**2/19 - 126*r/19 + 1620/19 = 0 for r.
-9, -5, -2, 1
Factor n**4/5 - 6*n**3/5 + 13*n**2/5 - 12*n/5 + 4/5.
(n - 2)**2*(n - 1)**2/5
Find y, given that 4*y**4 + 190*y**3/3 + 796*y**2/3 + 314*y - 60 = 0.
-10, -3, 1/6
Determine p, given that -2*p**2/17 + 16*p/17 + 210/17 = 0.
-7, 15
Determine a so that -2*a**3 + 148*a**2 - 2584*a - 5776 = 0.
-2, 38
Factor -3*c**2/4 - 117*c/4.
-3*c*(c + 39)/4
Factor -3*o**4 - 6*o**3 + 3*o**2 + 6*o.
-3*o*(o - 1)*(o + 1)*(o + 2)
Factor 36*p**2 - 340*p + 144.
4*(p - 9)*(9*p - 4)
Factor -d**4 - 764*d**3 - 145158*d**2 + 292612*d - 146689.
-(d - 1)**2*(d + 383)**2
Let 5*p**3/2 - 145*p**2/2 + 310*p - 240 = 0. What is p?
1, 4, 24
Solve 2*u**3/11 + 2*u**2/11 - 2048*u/11 - 2048/11 = 0 for u.
-32, -1, 32
Factor -x**2/5 + 684*x/5 - 116964/5.
-(x - 342)**2/5
Factor -g**5 + 23*g**4 - 179*g**3 + 553*g**2 - 720*g + 324.
-(g - 9)**2*(g - 2)**2*(g - 1)
Factor 3*r**3 - 1713*r**2 + 245385*r - 243675.
3*(r - 285)**2*(r - 1)
Solve -4*w**2 - 4800*w - 1440000 = 0 for w.
-600
Factor a**2 - 1618*a + 654481.
(a - 809)**2
Factor m**2/8 + 18*m + 648.
(m + 72)**2/8
Find a, given that 2*a**2/9 + 38*a/9 + 68/9 = 0.
-17, -2
Suppose d**2 + 45*d + 44 = 0. What is d?
-44, -1
Factor 3*s**5 + 12*s**4 - 9*s**3 - 42*s**2 - 24*s.
3*s*(s - 2)*(s + 1)**2*(s + 4)
Factor 5*o**2 - 5*o - 100.
5*(o - 5)*(o + 4)
What is q in -q**4/2 - 3*q**3/2 + 5*q**2/2 + 3*q/2 - 2 = 0?
-4, -1, 1
Factor 7*d**5 - 24*d**4 + 27*d**3 - 10*d**2.
d**2*(d - 1)**2*(7*d - 10)
Find z, given that -3*z**3/4 + 21*z**2/4 + 30*z + 33 = 0.
-2, 11
Factor 2*q**3/3 + 16*q**2/3 - 2*q/3 - 16/3.
2*(q - 1)*(q + 1)*(q + 8)/3
Factor 3*i**4 - 9*i**3 - 15*i**2 + 9*i + 12.
3*(i - 4)*(i - 1)*(i + 1)**2
Factor -2*v**2 - 26*v + 396.
-2*(v - 9)*(v + 22)
Factor 5*i**5/4 - 5*i**4/4 - 5*i**3/4 + 5*i**2/4.
5*i**2*(i - 1)**2*(i + 1)/4
Factor -3*y**2/4 - 159*y/4 - 39.
-3*(y + 1)*(y + 52)/4
Factor -2*l**3 + 68*l**2 + 70*l.
-2*l*(l - 35)*(l + 1)
Determine n so that 3*n**4 + 3*n**3 - 21*n**2 - 3*n + 18 = 0.
-3, -1, 1, 2
Factor -3*s**2 + 48*s.
-3*s*(s - 16)
Let -5*y**3 + 530*y**2 - 2495*y - 3030 = 0. What is y?
-1, 6, 101
Factor -5*j**2/3 - 493*j/3 + 66.
-(j + 99)*(5*j - 2)/3
Factor 2*g**4/7 + 18*g**3/7 + 22*g**2/7 - 6*g.
2*g*(g - 1)*(g + 3)*(g + 7)/7
Factor 27*a**3/2 - 126*a**2 + 759*a/2 - 363.
3*(a - 2)*(3*a - 11)**2/2
Suppose 3*m**2 - 24*m + 21 = 0. Calculate m.
1, 7
Solve -m**5/5 - 7*m**4/5 + 9*m**3/5 + 7*m**2/5 - 8*m/5 = 0.
-8, -1, 0, 1
Factor -2*d**3/11 - 10*d**2/11 + 122*d/11 - 10.
-2*(d - 5)*(d - 1)*(d + 11)/11
Suppose -2*o**2/7 + 7148*o/7 - 6386738/7 = 0. What is o?
1787
Solve 3*u**5 - 66*u**4 + 360*u**3 - 714*u**2 + 597*u - 180 = 0 for u.
1, 4, 15
Factor 2*b**3/9 - 2*b**2/9.
2*b**2*(b - 1)/9
Factor -20*s**3 + 128*s**2 + 92*s - 56.
-4*(s - 7)*(s + 1)*(5*s - 2)
Solve 2*g**2/13 - 34*g/13 + 60/13 = 0 for g.
2, 15
What is r in 2*r**4 - 656*r**3 + 80688*r**2 - 4410944*r + 90424352 = 0?
82
Determine r so that -2*r**3/5 - 4*r**2/5 + 38*r/5 + 8 = 0.
-5, -1, 4
Determine v, given that v**2/2 + 41*v/2 = 0.
-41, 0
Suppose 22*j**4/3 - 224*j**3/3 + 634*j**2/3 - 168*j + 24 = 0. What is j?
2/11, 1, 3, 6
Suppose -2*p**4/11 + 8*p**3/11 + 194*p**2/11 + 496*p/11 + 312/11 = 0. Calculate p.
-6, -2, -1, 13
Factor -5*t**2 + 10*t - 5.
-5*(t - 1)**2
Solve -10*j**5/7 + 64*j**4/7 - 114*j**3/7 + 76*j**2/7 - 16*j/7 = 0.
0, 2/5, 1, 4
Let 4*o**5 - 20*o**4 + 20*o**3 + 20*o**2 - 24*o = 0. Calculate o.
-1, 0, 1, 2, 3
Determine h, given that -3*h**2/2 - 858*h - 122694 = 0.
-28