*t**2/2 - 23*t/4 - 2.
-(t + 1)**2*(7*t + 8)/4
Factor -3*w**2 + 255*w - 252.
-3*(w - 84)*(w - 1)
Factor 3*g**2/5 + 432*g/5 + 336.
3*(g + 4)*(g + 140)/5
Factor i**3 - 14*i**2 - 17*i + 30.
(i - 15)*(i - 1)*(i + 2)
Find p such that -5*p**2 - 5*p = 0.
-1, 0
Solve -27*g**5 + 102*g**4 - 84*g**3 - 24*g**2 = 0.
-2/9, 0, 2
Factor 3*u**2 + 207*u + 2052.
3*(u + 12)*(u + 57)
Factor x**4 + 22*x**3 - 52*x**2 - 88*x + 192.
(x - 2)**2*(x + 2)*(x + 24)
Factor t**2/5 - 23*t/5 + 12.
(t - 20)*(t - 3)/5
Let -3*x**4/2 - 300*x**3 - 19251*x**2 - 342792*x + 6898689/2 = 0. What is x?
-69, 7
Factor w**2/4 + 47*w/4 - 12.
(w - 1)*(w + 48)/4
Factor -16*t**3 + 12*t**2 + 40*t.
-4*t*(t - 2)*(4*t + 5)
Let 4*d**4 - 656*d**3 - 2004*d**2 - 16*d + 2672 = 0. Calculate d.
-2, 1, 167
Determine y, given that -8*y**4 + 436*y**3 - 5604*y**2 - 9184*y - 3136 = 0.
-1, -1/2, 28
Factor -3*y**5/5 - 3*y**4/5 + 6*y**3/5.
-3*y**3*(y - 1)*(y + 2)/5
Solve 45*k**4 + 615*k**3 - 235*k**2 - 355*k - 70 = 0.
-14, -1/3, 1
Solve -2*z**2/5 - 18*z/5 + 4 = 0.
-10, 1
Factor -3*q**4 + 3*q**3 + 3*q**2 - 3*q.
-3*q*(q - 1)**2*(q + 1)
Factor -65*k**3 - 60*k**2 + 3155*k + 3150.
-5*(k - 7)*(k + 1)*(13*k + 90)
Determine t, given that 20*t**5 - 65*t**4 + 75*t**3 - 35*t**2 + 5*t = 0.
0, 1/4, 1
Factor -4*s**5 - 16*s**4 - 16*s**3 + 8*s**2 + 20*s + 8.
-4*(s - 1)*(s + 1)**3*(s + 2)
Factor 2*u**3/7 - 90*u**2/7 - 96*u/7 + 184/7.
2*(u - 46)*(u - 1)*(u + 2)/7
Suppose 3*q**4/5 + 9*q**3/5 - 42*q**2 = 0. What is q?
-10, 0, 7
Suppose 25*x**4 - 95*x**3 - 145*x**2 - 25*x = 0. Calculate x.
-1, -1/5, 0, 5
Factor 9*w**4 - 3*w**3 - 60*w**2 - 36*w.
3*w*(w - 3)*(w + 2)*(3*w + 2)
Factor -3*m**2/5.
-3*m**2/5
Factor -3*d**3/2 + 33*d**2/2 + 3*d/2 - 33/2.
-3*(d - 11)*(d - 1)*(d + 1)/2
Factor 45*q**3 + 5930*q**2 + 194700*q - 43560.
5*(q + 66)**2*(9*q - 2)
Factor -2*m**3 + 4*m**2/3 + 2*m/3.
-2*m*(m - 1)*(3*m + 1)/3
Factor t**2 + 287*t.
t*(t + 287)
Factor -3*c**2/2 - 201*c/2 + 102.
-3*(c - 1)*(c + 68)/2
Determine z, given that 20*z**5 - 15*z**4 - 820*z**3 - 825*z**2 + 3320*z - 1680 = 0.
-4, 3/4, 1, 7
Factor -4*t**3 + 316*t**2 - 616*t.
-4*t*(t - 77)*(t - 2)
What is u in u**3 + 26*u**2 + 25*u = 0?
-25, -1, 0
Determine m, given that -4*m**5 + 80*m**4 - 280*m**3 + 400*m**2 - 260*m + 64 = 0.
1, 16
Factor 2*o**3 - 91*o**2 - 927*o + 486.
(o - 54)*(o + 9)*(2*o - 1)
Suppose 76*d**3 - 524*d**2 + 704*d + 80 = 0. What is d?
-2/19, 2, 5
Suppose -h**3/3 - 2*h**2 + 5*h - 8/3 = 0. What is h?
-8, 1
Determine z, given that 12*z**5 - 39*z**4 + 33*z**3 - 6*z**2 = 0.
0, 1/4, 1, 2
What is j in j**3/6 + 2*j**2 + 7*j/2 + 5/3 = 0?
-10, -1
Determine s, given that -s**5/2 + 17*s**3 + 46*s**2 + 87*s/2 + 14 = 0.
-4, -1, 7
Suppose v**4 - 52*v**3 - 165*v**2 - 4*v + 220 = 0. Calculate v.
-2, 1, 55
Factor -4*o**3 + 2164*o**2 - 293760*o + 291600.
-4*(o - 270)**2*(o - 1)
What is w in 200*w**4 + 2545*w**3/7 + 1389*w**2/7 + 248*w/7 + 4/7 = 0?
-1, -2/5, -1/56
Suppose 2*t**3/9 - 2*t**2/3 + 8/9 = 0. What is t?
-1, 2
Determine d, given that -36*d**3 - 116*d**2 + 2496*d + 560 = 0.
-10, -2/9, 7
Suppose 3*r**3 - 6*r**2 - 723*r - 714 = 0. Calculate r.
-14, -1, 17
Factor 4*w**2 + 504*w - 508.
4*(w - 1)*(w + 127)
Factor -14*t**2/9 + 446*t + 1148/9.
-2*(t - 287)*(7*t + 2)/9
Solve t**3 - t = 0 for t.
-1, 0, 1
Factor -3*q**2/5 - 57*q/5 - 264/5.
-3*(q + 8)*(q + 11)/5
Solve 3*n**3 + 3726*n**2 + 1542564*n + 212873832 = 0 for n.
-414
Factor -2*z**4/7 + 20*z**3/7 - 62*z**2/7 + 60*z/7.
-2*z*(z - 5)*(z - 3)*(z - 2)/7
Determine d so that -d**4/2 + 3*d**3/2 + 27*d**2 + 16*d - 144 = 0.
-4, 2, 9
Factor 4*q**2 + 1912*q + 228484.
4*(q + 239)**2
Suppose 2*o**3/7 + 1108*o**2/7 + 153458*o/7 = 0. What is o?
-277, 0
Solve 5*t**4 - 130*t**3 + 100*t**2 + 610*t + 375 = 0 for t.
-1, 3, 25
Solve 2*v**4/7 + 6*v**3/7 - 4*v**2/7 - 24*v/7 - 16/7 = 0 for v.
-2, -1, 2
Factor 10*x**3 + 324*x**2 + 122*x - 192.
2*(x + 1)*(x + 32)*(5*x - 3)
Solve s**5/5 + 5*s**4 - 81*s**3/5 + 83*s**2/5 - 28*s/5 = 0 for s.
-28, 0, 1
Let -322*p**4 - 5916*p**3 - 16658*p**2 - 5544*p - 360 = 0. Calculate p.
-15, -3, -2/7, -2/23
Suppose -4*j**2 - 68*j - 240 = 0. Calculate j.
-12, -5
Solve m**2/2 - 405*m/2 - 203 = 0.
-1, 406
Factor 3*n**4/7 - 3*n**3/7 - 3*n**2/7 + 3*n/7.
3*n*(n - 1)**2*(n + 1)/7
Factor -8*n**3 - 11932*n**2 - 4446160*n + 2226064.
-4*(n + 746)**2*(2*n - 1)
Determine l so that -l**2/2 - 269*l - 72361/2 = 0.
-269
Solve 15*q**3 - 66*q**2 + 69*q - 18 = 0 for q.
2/5, 1, 3
Factor -11*t**3/7 - 68*t**2/7 - 111*t/7 - 18/7.
-(t + 3)**2*(11*t + 2)/7
Find l, given that -l**2/8 - 303*l/8 + 38 = 0.
-304, 1
Factor 4*f**3 - 2296*f**2 - 4*f + 2296.
4*(f - 574)*(f - 1)*(f + 1)
Suppose 5*o**3 - 40*o**2 + 95*o - 60 = 0. What is o?
1, 3, 4
Suppose -z**5 + 58*z**4 - 714*z**3 - 3776*z**2 - 1333*z + 5766 = 0. Calculate z.
-3, -2, 1, 31
Factor 4*p**2 - 624*p - 628.
4*(p - 157)*(p + 1)
Find h, given that 3*h**4/2 - 31*h**3/2 + 24*h**2 + 90*h = 0.
-5/3, 0, 6
Let 3*p**3/2 + 53*p**2/6 + 22*p/3 = 0. What is p?
-44/9, -1, 0
Let o**2/5 - 28*o/5 + 52/5 = 0. Calculate o.
2, 26
Factor -3*m**4 - 57*m**3 - 105*m**2 - 51*m.
-3*m*(m + 1)**2*(m + 17)
Factor -8*o**4 - 115*o**3 + 206*o**2 - 35*o - 48.
-(o - 1)**2*(o + 16)*(8*o + 3)
Factor 162*k**3 + 217170*k**2 - 96544*k + 10728.
2*(k + 1341)*(9*k - 2)**2
Factor -3*t**2 + 156*t + 159.
-3*(t - 53)*(t + 1)
Solve 4*k**2 - 44*k = 0.
0, 11
Suppose 32*c**4 + 340*c**3 - 932*c**2 + 716*c - 156 = 0. What is c?
-13, 3/8, 1
Solve -3*g**3/5 - 132*g**2/5 - 1767*g/5 - 6498/5 = 0 for g.
-19, -6
What is l in 3*l**5 - 216*l**4 + 2880*l**3 - 10752*l**2 = 0?
0, 8, 56
Solve -4*h**5 + 568*h**4 - 19000*h**3 - 82352*h**2 - 105412*h - 42632 = 0 for h.
-2, -1, 73
Factor m**3/7 - 2*m**2/7 - 3*m/7.
m*(m - 3)*(m + 1)/7
Let -v**5/6 + 19*v**4/6 - 55*v**3/6 - 359*v**2/6 - 44*v/3 + 242/3 = 0. What is v?
-2, 1, 11
Factor 6*m**4 - 15*m**3 + 12*m**2 - 3*m.
3*m*(m - 1)**2*(2*m - 1)
Let 2*p**5 - 24*p**4 + 22*p**3 = 0. Calculate p.
0, 1, 11
Factor -u**2/8 - 117*u/4 - 13689/8.
-(u + 117)**2/8
Determine j so that -3*j**3 + 147*j**2 + 1695*j + 4425 = 0.
-5, 59
Suppose 2*b**3/9 - 46*b**2/9 - 16*b/3 = 0. Calculate b.
-1, 0, 24
Factor 3*n**3/4 - 129*n**2/4 + 1173*n/4 + 1305/4.
3*(n - 29)*(n - 15)*(n + 1)/4
Factor 6*o**3 - 46*o**2 + 40*o.
2*o*(o - 1)*(3*o - 20)
Let -o**3/4 + 23*o**2 + o/4 - 23 = 0. What is o?
-1, 1, 92
Factor 153*v**5/4 - 159*v**4/4 + 3*v**3/2.
3*v**3*(v - 1)*(51*v - 2)/4
Solve -2*g**4/5 + 6*g**3/5 + 124*g**2/5 + 192*g/5 - 64 = 0 for g.
-4, 1, 10
Factor 4*b**4 - 24*b**2 - 32*b - 12.
4*(b - 3)*(b + 1)**3
Determine d, given that 4*d**2 - 1264*d + 99856 = 0.
158
Factor k**4 - 4*k**3 - 27*k**2 - 38*k - 16.
(k - 8)*(k + 1)**2*(k + 2)
Let h**4 - 140*h**3 + 7350*h**2 - 171500*h + 1500625 = 0. What is h?
35
Suppose 2*i**4/5 - 2*i**2/5 = 0. What is i?
-1, 0, 1
Factor -2*o**4/5 + 26*o**3 + 402*o**2/5 + 406*o/5 + 136/5.
-2*(o - 68)*(o + 1)**3/5
Solve 200*c**5 + 7680*c**4 + 67338*c**3 - 122498*c**2 + 54480*c - 7200 = 0 for c.
-20, 3/10, 1
Suppose -4*c**3 - 144*c**2 - 524*c - 384 = 0. Calculate c.
-32, -3, -1
Determine l so that l**4/4 + 21*l**3/2 + 333*l**2/4 - 199*l + 105 = 0.
-30, -14, 1
Suppose 4*n**5 + 88*n**4 - 95*n**3 - 67*n**2 + 47*n + 23 = 0. What is n?
-23, -1/2, 1
Factor 15*i**4/4 - 73*i**3/4 + 25*i**2/2 + 2*i.
i*(i - 4)*(i - 1)*(15*i + 2)/4
Suppose 2*s**5/7 + 48*s**4/7 + 328*s**3/7 + 436*s**2/7 - 330*s/7 - 484/7 = 0. Calculate s.
-11, -2, -1, 1
Factor 2*c**4/9 + 8*c**3/9 - 10*c**2/9.
2*c**2*(c - 1)*(c + 5)/9
Factor g**3/3 - 174*g**2 + 30276*g - 1756008.
(g - 174)**3/3
Let -3*x**2 + 363 = 0. Calculate x.
-11, 11
Let 2*f**2/3 + 5*f/2 - 2/3 = 0. What is f?
-4, 1/4
Find x, given that 135*x**5 + 805*x**4 - 4755*x**3 + 6655*x**2 - 2940*x + 100 = 0.
-10, 1/27, 1, 2
Factor 2*c**3/15 + 16*c**2/15 + 2*c/3 - 28/15.
2*(c - 1)*(c + 2)*(c + 7)/15
Find r such that 2*r**2/7 + 194*r/7 - 28 = 0.
-98, 1
Factor -5*a**3 - 21725*a**2 - 23587915*a + 23609645.
-5*(a - 1)*(a + 2173)**2
Factor -2*p**5 + 76*p**4 + 240*p**3 + 244*p**2 + 82*p.
-2*p*(p - 41)*(p + 1)**3
Suppose -2*x**2 + 838*x - 836 = 0. What is x?
1, 418
What is j in -5*j**3 - 1050*j**2 - 2080*j = 0?
-208, -2, 0
Factor -u**5/3 - 7*u**4/3 - 6*u**3 - 20*u**2/3 - 8*u/3.
-u*(u + 1)*(u + 2)**3/3
Factor 2*g**4/13 + 54*g**3/13 - 174*g**2/13 + 178*g/13 - 60/13.
2*(g - 1)**3*(g + 30)/13
Let -16*o**4/5 - 4*o**3/5 + 6*o**2/5 