1 - 2460*c**2 + 11832*c/11 + 4624/11 = 0. Calculate c.
-34, -1/4, 2/3
Suppose 2*i**4/15 - 6*i**3/5 - 46*i**2/15 + 6*i/5 + 44/15 = 0. What is i?
-2, -1, 1, 11
Solve 4*c**3 + 40*c**2 - 156*c = 0.
-13, 0, 3
Factor -l**3 - 26*l**2/7 - 20*l/7 + 8/7.
-(l + 2)**2*(7*l - 2)/7
Find n, given that -3*n**2 + 171*n + 174 = 0.
-1, 58
Factor -3*i**3/2 - 2466*i**2 - 1013526*i.
-3*i*(i + 822)**2/2
Find w such that 6*w**5/7 - 30*w**4/7 + 6*w**3 + 6*w**2/7 - 48*w/7 + 24/7 = 0.
-1, 1, 2
Factor 5929*h**4/5 + 1232*h**3/5 - 552*h**2/5 - 64*h/5 + 16/5.
(7*h + 2)**2*(11*h - 2)**2/5
Factor -5202*d**3/11 + 98430*d**2/11 + 704*d + 152/11.
-2*(d - 19)*(51*d + 2)**2/11
Determine c so that 7*c**5/6 + 149*c**4/6 + 133*c**3 + 598*c**2/3 + 140*c/3 = 0.
-14, -5, -2, -2/7, 0
Determine s so that 4*s**4 + 40*s**3 + 140*s**2 + 200*s + 96 = 0.
-4, -3, -2, -1
Solve -4*l**2 + 152*l - 868 = 0 for l.
7, 31
Determine a so that 5*a**3 + 8250*a**2 + 4537500*a + 831875000 = 0.
-550
Factor 148*g**3 + 136*g**2 - 12*g.
4*g*(g + 1)*(37*g - 3)
Factor p**2 - 70*p + 136.
(p - 68)*(p - 2)
Solve 2*z**4 + 50*z**3/3 - 70*z**2/9 - 50*z/3 + 52/9 = 0.
-26/3, -1, 1/3, 1
What is d in -2*d**5/11 + 8*d**4/11 + 70*d**3/11 - 300*d**2/11 = 0?
-6, 0, 5
Suppose -z**3/5 - 88*z**2/5 - 2021*z/5 - 3698/5 = 0. Calculate z.
-43, -2
Suppose u**5 - 9*u**4 - 33*u**3 - 35*u**2 - 12*u = 0. Calculate u.
-1, 0, 12
Determine w so that w**5 - 18*w**4 + 74*w**3 - 124*w**2 + 93*w - 26 = 0.
1, 2, 13
Factor -2*m**2/3 + 604*m/3 - 45602/3.
-2*(m - 151)**2/3
Suppose -4*b**4 + 18*b**3 + 135*b**2/4 - 275*b/2 + 375/4 = 0. Calculate b.
-3, 5/4, 5
Solve k**2/2 + 12*k - 25/2 = 0 for k.
-25, 1
Let 30*d**3 - 81*d**2 + 24*d + 36 = 0. Calculate d.
-1/2, 6/5, 2
Suppose -5*c**3 + 20*c**2 - 20*c = 0. Calculate c.
0, 2
Solve -3*i**4 - 42*i**3 - 99*i**2 + 336*i - 192 = 0 for i.
-8, 1
Factor q**2/4 + 813*q/4.
q*(q + 813)/4
Solve r**3 - 19*r**2 + 55*r + 75 = 0.
-1, 5, 15
Factor 3*n**4/5 - 36*n**3.
3*n**3*(n - 60)/5
Solve -4*i**2 - 320*i - 6400 = 0 for i.
-40
Determine l, given that -2*l**4 - 748*l**3 - 69938*l**2 = 0.
-187, 0
Factor i**3/3 - i**2 - 3*i - 5/3.
(i - 5)*(i + 1)**2/3
Factor h**3 + 119*h**2 + 687*h + 1017.
(h + 3)**2*(h + 113)
Determine z, given that 242*z**3/13 + 88*z**2/13 + 8*z/13 = 0.
-2/11, 0
Factor -3*r**2/2 + 9*r/2 + 405.
-3*(r - 18)*(r + 15)/2
Find k such that 3*k**3 - 126*k**2 - 705*k = 0.
-5, 0, 47
Let -3*l**4 - 129*l**3 - 861*l**2 - 735*l = 0. Calculate l.
-35, -7, -1, 0
Determine n, given that 7*n**3/3 + 1027*n**2/3 + 37000*n/3 - 16428 = 0.
-74, 9/7
Factor 2*f**4/9 - 20*f**3/9 - 6*f**2 + 8*f.
2*f*(f - 12)*(f - 1)*(f + 3)/9
Suppose 4394*y**4 - 124046*y**3 + 887328*y**2 + 2115072*y - 29859840 = 0. Calculate y.
-5, 144/13
Determine c, given that 4*c**4 - 96*c**3 + 576*c**2 = 0.
0, 12
Factor -y**5 + 6*y**4 - 14*y**3 + 16*y**2 - 9*y + 2.
-(y - 2)*(y - 1)**4
Factor 4*w**3 + 848*w**2 - 3444*w + 2592.
4*(w - 3)*(w - 1)*(w + 216)
Determine r, given that -2*r**4/3 - 8*r**3/3 + 28*r**2 - 24*r - 54 = 0.
-9, -1, 3
Find i such that -i**4 - 30*i**3 + 99*i**2 - 4*i - 132 = 0.
-33, -1, 2
Let -2*z**2/7 + 4668*z/7 - 2723778/7 = 0. Calculate z.
1167
Find h such that -2*h**2/17 - 50*h/17 + 52/17 = 0.
-26, 1
Determine h so that 3*h**4/5 + 4*h**3 - 7*h**2/5 = 0.
-7, 0, 1/3
Let 8*f**2/3 - 188*f/3 - 32 = 0. Calculate f.
-1/2, 24
Factor j**4/4 + j**3/4 - 25*j**2/4 - 25*j/4.
j*(j - 5)*(j + 1)*(j + 5)/4
Solve -2*g**4/7 - 6*g**3/7 + 6*g**2/7 + 22*g/7 + 12/7 = 0 for g.
-3, -1, 2
Solve -2*t**2 - 4*t = 0 for t.
-2, 0
Let 4107*b**4/4 - 28305*b**3/4 + 11547*b**2 + 1311*b + 36 = 0. Calculate b.
-2/37, 3, 4
Suppose -2*m**5 - 36*m**4 + 44*m**3 + 104*m**2 - 186*m + 76 = 0. What is m?
-19, -2, 1
Factor -5*q**4/2 + 105*q**2/2 + 50*q.
-5*q*(q - 5)*(q + 1)*(q + 4)/2
Suppose 5*n**5 + 1310*n**4 - 9325*n**3 + 24110*n**2 - 26860*n + 10760 = 0. Calculate n.
-269, 1, 2
Factor -r**2/6 + 50*r/3.
-r*(r - 100)/6
Factor -j**4 + 7212*j**3 - 17337648*j**2 + 13893235264*j.
-j*(j - 2404)**3
Solve -15*m**3 + 230*m**2 - 285*m + 70 = 0.
1/3, 1, 14
Factor 4*a**3 + 344*a**2 + 7396*a.
4*a*(a + 43)**2
Suppose -16*h**4 + 60*h**3 - 100*h - 24 = 0. Calculate h.
-1, -1/4, 2, 3
Factor 4*z**3 - 24*z**2 + 12*z + 40.
4*(z - 5)*(z - 2)*(z + 1)
Factor v**3/4 - 119*v**2/4 + 870*v + 900.
(v - 60)**2*(v + 1)/4
Let 13*d**3/5 + 3*d**2 + 2*d/5 = 0. What is d?
-1, -2/13, 0
Solve 2*h**4/15 + 136*h**3/5 - 2*h**2/15 - 136*h/5 = 0.
-204, -1, 0, 1
Suppose 4*g**5 + 24*g**4 + 20*g**3 - 96*g**2 - 144*g = 0. Calculate g.
-3, -2, 0, 2
Find i, given that -i**5/3 + 106*i**4/3 + 436*i**3/3 + 440*i**2/3 = 0.
-2, 0, 110
Factor -g**2/4 + 215*g/2 - 46225/4.
-(g - 215)**2/4
Factor -t**2/5 + 28*t/5.
-t*(t - 28)/5
Solve 9*v**4/5 - 66*v**3/5 - 3*v**2/5 + 156*v/5 + 84/5 = 0.
-1, -2/3, 2, 7
Find n, given that -8*n**5/3 - 8*n**4 - 10*n**3/3 + 20*n**2/3 + 6*n + 4/3 = 0.
-2, -1, -1/2, 1
Factor -2*f**3/5 - 282*f**2/5 - 1008*f - 4840.
-2*(f + 10)**2*(f + 121)/5
Suppose 2*d**5/15 - 4*d**4/3 + 6*d**3/5 = 0. Calculate d.
0, 1, 9
Factor -o**5/6 - 5*o**4/3 - 3*o**3/2.
-o**3*(o + 1)*(o + 9)/6
Factor q**3 + 127*q**2 - 257*q + 129.
(q - 1)**2*(q + 129)
Factor -20*i**4 + 36*i**3 - 12*i**2 - 4*i.
-4*i*(i - 1)**2*(5*i + 1)
Factor x**3/6 + 77*x**2/3 + 1136*x/3 + 1472.
(x + 8)**2*(x + 138)/6
Let 5*y**3 + 4745*y**2 + 1128120*y + 1123380 = 0. Calculate y.
-474, -1
Factor -5*t**3 + 60*t**2 - 135*t.
-5*t*(t - 9)*(t - 3)
Factor -n**2/6 - 401*n/3 - 160801/6.
-(n + 401)**2/6
Factor o**3/2 - 2*o**2 - 7*o/2 + 5.
(o - 5)*(o - 1)*(o + 2)/2
What is h in -h**2/3 + 18*h - 53/3 = 0?
1, 53
Suppose 2*i**3/11 - 1930*i**2/11 + 3852*i/11 = 0. Calculate i.
0, 2, 963
Determine v so that 27*v**3/2 + 1272*v**2 + 282*v = 0.
-94, -2/9, 0
Determine n, given that -10*n**3/3 + 1082*n**2 + 11140*n/3 + 1312 = 0.
-3, -2/5, 328
Find o, given that 4*o**2 + 704*o + 30976 = 0.
-88
Factor 3*a**2 - 66*a - 144.
3*(a - 24)*(a + 2)
What is a in -a**2 + 172*a - 340 = 0?
2, 170
Suppose -9*x**3/4 + 23*x**2/4 + x - 7 = 0. Calculate x.
-1, 14/9, 2
Find u, given that -2*u**3/11 - 6*u**2 - 432*u/11 + 1944/11 = 0.
-18, 3
Suppose 60*l**5 + 425*l**4 - 450*l**3 - 75*l**2 + 40*l = 0. Calculate l.
-8, -1/3, 0, 1/4, 1
Factor 2*k**3/5 - 44*k**2/5 + 38*k/5 + 84/5.
2*(k - 21)*(k - 2)*(k + 1)/5
Factor v**4/4 + 3*v**3 + 11*v**2/4.
v**2*(v + 1)*(v + 11)/4
Factor 2*x**2/5 - 48*x/5 + 238/5.
2*(x - 17)*(x - 7)/5
Find f, given that f**5 + 3*f**4 - 5*f**3 - 27*f**2 - 32*f - 12 = 0.
-2, -1, 3
Factor -4*j**3 + 116*j**2 - 780*j - 900.
-4*(j - 15)**2*(j + 1)
Factor 2*r**4/3 - 14*r**3/3 - 2*r**2 + 38*r/3 + 28/3.
2*(r - 7)*(r - 2)*(r + 1)**2/3
Solve 3*s**4 + 48*s**3 + 231*s**2 + 294*s = 0 for s.
-7, -2, 0
Determine k, given that -k**5 + 93*k**4 - 1910*k**3 - 12098*k**2 + 1911*k + 12005 = 0.
-5, -1, 1, 49
Determine d so that 3*d**5 - 4*d**4 - 4*d**3 + 6*d**2 + d - 2 = 0.
-1, -2/3, 1
Determine o, given that o**4/3 - 24*o**3 + 203*o**2/3 + 96*o - 276 = 0.
-2, 2, 3, 69
Find h such that 2*h**3 - 392*h**2 + 17544*h + 166464 = 0.
-8, 102
Solve v**3/5 - 4*v**2 - 43*v/5 - 22/5 = 0 for v.
-1, 22
Factor -2*c**3/5 - 2*c**2 + 56*c/5 + 64/5.
-2*(c - 4)*(c + 1)*(c + 8)/5
Factor 10*p**2 + 114*p - 72.
2*(p + 12)*(5*p - 3)
Factor -3*v**4/4 + 231*v**3/4 + 117*v**2/2.
-3*v**2*(v - 78)*(v + 1)/4
Factor -2*j**4 + 2*j**3 + 2*j**2 - 2*j.
-2*j*(j - 1)**2*(j + 1)
What is y in 3*y**4 - 14*y**3 + 8*y**2 = 0?
0, 2/3, 4
What is w in 2*w**3/13 + 328*w**2/13 - 664*w/13 = 0?
-166, 0, 2
Factor 3*b**4/4 + 715*b**3/4 + 119*b**2/2.
b**2*(b + 238)*(3*b + 1)/4
Factor y**3/2 + 12*y**2 - 51*y/2 - 1445.
(y - 10)*(y + 17)**2/2
Factor 2*z**4/17 + 20*z**3/17 - 14*z**2/17 - 392*z/17.
2*z*(z - 4)*(z + 7)**2/17
Find w, given that -8*w**4/5 + 66*w**3/5 + 336*w**2/5 + 296*w/5 - 96/5 = 0.
-2, 1/4, 12
Find l, given that -5*l**3 - 4530*l**2 - 1368060*l - 137718040 = 0.
-302
Factor w**3 - 43*w**2 + 496*w - 1728.
(w - 27)*(w - 8)**2
What is t in t**5 + 3*t**4 + t**3 - 3*t**2 - 2*t = 0?
-2, -1, 0, 1
Determine g, given that -4*g**3 + 156*g**2 + 160*g = 0.
-1, 0, 40
Factor -h**5/4 + 17*h**4/2 - 16*h**3 - h**2/2 + 65*h/4 - 8.
-(h - 32)*(h - 1)**3*(h + 1)/4
Factor -5*d**2 + 260*d + 5865.
-5*(d - 69)*(d + 17)
Let 6*u**4/11 + 28*u**3/11 - 98*u**2/11 + 8*u/11 + 56/11 = 0. Calculate u.
-7, -2/3, 1, 2
Factor 2*o**5 - 170*o**4 + 4700*o**3 - 38860*o**2 - 92510*o - 48778.
2*(o - 