.
-1, 1, 88
Let -p**5 - 15*p**4 - 59*p**3 - 97*p**2 - 72*p - 20 = 0. What is p?
-10, -2, -1
Find b such that 25*b**4 + 165*b**3 + 390*b**2 + 380*b + 120 = 0.
-2, -3/5
Factor 4913*d**4/5 + 248251*d**3 - 438498*d**2/5 + 51604*d/5 - 2024/5.
(d + 253)*(17*d - 2)**3/5
Determine u, given that 15*u**2/2 - 3905*u/2 - 1305 = 0.
-2/3, 261
Solve 2*w**4 - 2*w**2 = 0.
-1, 0, 1
Factor -m**2/2 + 51*m/2 - 94.
-(m - 47)*(m - 4)/2
Factor p**3/4 - 11*p**2/4 - 41*p/4 + 195/4.
(p - 13)*(p - 3)*(p + 5)/4
Find b such that -b**2/2 - 157*b = 0.
-314, 0
Find r, given that 81*r**4/4 - 549*r**3/4 + 1369*r**2/4 - 1479*r/4 + 289/2 = 0.
1, 17/9, 2
Find j, given that -j**3/7 - 10*j**2/7 + 8*j = 0.
-14, 0, 4
Find z, given that -z**2 - 28*z - 52 = 0.
-26, -2
Factor 2*o**4/11 + 4*o**3/11 - 24*o**2/11 + 28*o/11 - 10/11.
2*(o - 1)**3*(o + 5)/11
Find s such that -2*s**3 - 42*s**2 + 392*s = 0.
-28, 0, 7
What is y in -3*y**3/2 + 18*y**2 + 75*y/2 - 450 = 0?
-5, 5, 12
What is f in -f**5/9 - 2*f**4/9 + 26*f**3/9 + 12*f**2 + 15*f + 6 = 0?
-3, -1, 6
Solve 18*c**5 - 159*c**4 + 387*c**3 - 201*c**2 - 45*c = 0.
-1/6, 0, 1, 3, 5
Factor 3*u**2/7 - 1908*u/7 + 303372/7.
3*(u - 318)**2/7
Factor -4*n**2 - 172*n + 176.
-4*(n - 1)*(n + 44)
Find z such that -2*z**2/13 + 3258*z/13 + 9792/13 = 0.
-3, 1632
Find r, given that -4*r**2/7 + 116*r/7 + 120/7 = 0.
-1, 30
Suppose 4*d**3 + 35220*d**2 + 77545632*d + 77510416 = 0. What is d?
-4402, -1
Factor 12*m**3/5 + 4*m**2/5 - 28*m/5 - 4.
4*(m + 1)**2*(3*m - 5)/5
Factor g**3/6 + 9*g**2/2 + 13*g/3.
g*(g + 1)*(g + 26)/6
What is i in 12*i**5 - 8*i**4 - 132*i**3 + 304*i**2 - 240*i + 64 = 0?
-4, 2/3, 1, 2
Solve -2*p**3/9 - 4*p**2/3 - 2*p = 0.
-3, 0
Factor w**2/7 - 47*w/7 - 440/7.
(w - 55)*(w + 8)/7
Factor -2*q**5/11 + 2*q**4 - 36*q**3/11.
-2*q**3*(q - 9)*(q - 2)/11
Factor v**3 - 21*v**2 + 120*v - 100.
(v - 10)**2*(v - 1)
Find o such that -15*o**5/7 - 8*o**4 + 1585*o**3/7 + 1182*o**2/7 + 216*o/7 = 0.
-12, -2/5, -1/3, 0, 9
Find y, given that 2*y**3/11 - 4*y**2 - 46*y/11 = 0.
-1, 0, 23
Solve -11*p**2 - 80*p + 204 = 0 for p.
-102/11, 2
Factor -2*u**3/15 + 32*u**2/5 - 18*u.
-2*u*(u - 45)*(u - 3)/15
Factor -p**3/3 - 2*p**2/3 + p/3 + 2/3.
-(p - 1)*(p + 1)*(p + 2)/3
Factor v**3 - 45*v**2 + 87*v - 43.
(v - 43)*(v - 1)**2
Factor 5*j**4 + 70*j**3 + 305*j**2 + 420*j + 180.
5*(j + 1)**2*(j + 6)**2
Factor -3*x**2/5 + 141*x/5 - 306.
-3*(x - 30)*(x - 17)/5
Determine j so that -j**4/4 + 141*j**3/4 + 143*j**2/4 - 141*j/4 - 71/2 = 0.
-1, 1, 142
Suppose -4*b**4 + 8*b**3 - 4*b**2 = 0. Calculate b.
0, 1
Find w, given that w**3 + 1138*w**2 - 2279*w + 1140 = 0.
-1140, 1
Factor -d**2/3 + 7*d/3 + 6.
-(d - 9)*(d + 2)/3
Factor 3*i**3 - 3*i**2 - 3*i + 3.
3*(i - 1)**2*(i + 1)
Factor 4*f**2/7 + 4*f/7 - 80/7.
4*(f - 4)*(f + 5)/7
Factor g**2/2 + 733*g + 1465/2.
(g + 1)*(g + 1465)/2
Find c such that -5*c**4 - 35*c**3 - 70*c**2 - 40*c = 0.
-4, -2, -1, 0
Factor l**4/3 + 10*l**3/3 + 3*l**2 - 52*l/3 + 32/3.
(l - 1)**2*(l + 4)*(l + 8)/3
What is w in 3*w**5 + 330*w**4 - 9969*w**3 + 85188*w**2 - 231924*w + 197472 = 0?
-136, 2, 11
Let -2*m**4 + 6*m**3 + 4*m**2 - 24*m + 16 = 0. Calculate m.
-2, 1, 2
Factor 2*r**3/7 - 55*r**2/7 + 379*r/7 - 176/7.
(r - 16)*(r - 11)*(2*r - 1)/7
Factor p**3 - 9*p**2 + 20*p - 12.
(p - 6)*(p - 2)*(p - 1)
Solve -5*t**4/3 - 22*t**3/3 - 8*t**2/3 = 0.
-4, -2/5, 0
Factor -p**2/4 + 30*p - 324.
-(p - 108)*(p - 12)/4
Factor t**3 - 31*t**2 + 111*t - 81.
(t - 27)*(t - 3)*(t - 1)
Factor -525*g**5 - 360*g**4 - 81*g**3 - 6*g**2.
-3*g**2*(5*g + 1)**2*(7*g + 2)
Factor a**5 - 18*a**4 + 93*a**3 - 136*a**2 + 60*a.
a*(a - 10)*(a - 6)*(a - 1)**2
Factor -8*b**4 + 30*b**3 - 24*b**2 - 8*b.
-2*b*(b - 2)**2*(4*b + 1)
Solve -6*p**4/11 - 162*p**3/11 - 294*p**2/11 + 162*p/11 + 300/11 = 0 for p.
-25, -2, -1, 1
Let 3*o**4 + 21*o**3 + 6*o**2 - 84*o - 72 = 0. Calculate o.
-6, -2, -1, 2
Factor -5*n**2/3 + 40*n + 125/3.
-5*(n - 25)*(n + 1)/3
Suppose -4*x**4 + 192*x**3 - 868*x**2 + 312*x + 1376 = 0. What is x?
-1, 2, 4, 43
Let 21*v**4 - 2043*v**3 - 21363*v**2 - 49905*v + 16050 = 0. What is v?
-5, 2/7, 107
Factor 36*b**2 - 80*b - 116.
4*(b + 1)*(9*b - 29)
Factor -4*h**4 - 15*h**3 + 16*h**2 + 60*h.
-h*(h - 2)*(h + 2)*(4*h + 15)
Find x such that -x**4 + x**3 + 5*x**2 + 3*x = 0.
-1, 0, 3
Find f such that 3*f**2/4 + 129*f/2 + 5547/4 = 0.
-43
Determine j so that 3*j**4/4 - 381*j**3/4 - 1161*j**2/4 - 1167*j/4 - 195/2 = 0.
-1, 130
Suppose -7*h**3 - 53*h**2/2 - 35*h/2 - 3 = 0. What is h?
-3, -1/2, -2/7
Determine s so that -3*s**4/4 - 7*s**3/2 - s**2/4 + 13*s/2 - 2 = 0.
-4, -2, 1/3, 1
Suppose 363*j**3 + 4059*j**2 + 729*j + 33 = 0. What is j?
-11, -1/11
Factor 2*t**3/7 - 36*t**2/7 - 8*t/7 + 144/7.
2*(t - 18)*(t - 2)*(t + 2)/7
Factor -4*w**4 - 52*w**3 - 132*w**2 - 124*w - 40.
-4*(w + 1)**3*(w + 10)
Find o, given that -2*o**5/3 + 4*o**4/3 + 24*o**3 - 108*o**2 + 126*o = 0.
-7, 0, 3
Factor 4*k**3 - 2172*k**2 + 4332*k - 2164.
4*(k - 541)*(k - 1)**2
Factor -3*z**2 - 11664*z - 11337408.
-3*(z + 1944)**2
Determine p so that 8*p**2/7 + 4*p - 16/7 = 0.
-4, 1/2
Factor 4*s**5 - 24*s**4 - 4*s**3 + 24*s**2.
4*s**2*(s - 6)*(s - 1)*(s + 1)
Factor -d**3/4 + 73*d**2/4 + 158*d + 324.
-(d - 81)*(d + 4)**2/4
Determine h, given that 96*h**3 + 324*h**2 - 261*h - 84 = 0.
-4, -1/4, 7/8
Factor -j**2 + 163*j - 162.
-(j - 162)*(j - 1)
Factor 2*r**5/21 - 16*r**4/21 + 44*r**3/21 - 8*r**2/3 + 34*r/21 - 8/21.
2*(r - 4)*(r - 1)**4/21
Suppose -804005*n**4 + 1599990*n**3 - 787985*n**2 - 7980*n - 20 = 0. What is n?
-2/401, 1
Factor 5*i**3 - 25*i**2 - 125*i + 625.
5*(i - 5)**2*(i + 5)
What is n in 2*n**3/7 - 682*n**2/7 = 0?
0, 341
Solve 729*c**3 + 5830*c**2 + 11648*c - 32 = 0 for c.
-4, 2/729
What is u in -2*u**2/9 - 40*u - 1800 = 0?
-90
Solve -m**2/6 + 23*m/6 - 20 = 0 for m.
8, 15
Factor 5*c**4 - 255*c**3 - 265*c**2 + 255*c + 260.
5*(c - 52)*(c - 1)*(c + 1)**2
Factor 2*v**2 - 6*v + 4.
2*(v - 2)*(v - 1)
Factor 12*n**4/5 + 32*n**3/5 - 12*n**2/5.
4*n**2*(n + 3)*(3*n - 1)/5
Determine t so that 17*t**3/8 - 4*t**2 - 55*t/8 - 3/4 = 0.
-1, -2/17, 3
What is i in 2*i**2/5 - 368*i/5 + 16928/5 = 0?
92
Factor -c**5/3 - 8*c**4/3 - 25*c**3/3 - 38*c**2/3 - 28*c/3 - 8/3.
-(c + 1)**2*(c + 2)**3/3
Suppose -4*q**4 + q**3 + 48*q**2 + 52*q - 16 = 0. Calculate q.
-2, 1/4, 4
Solve i**2/3 - 2*i + 8/3 = 0.
2, 4
Determine y, given that 2*y**2 + 286*y - 876 = 0.
-146, 3
Factor v**5/2 + 25*v**4/2 + 23*v**3 - v**2 - 47*v/2 - 23/2.
(v - 1)*(v + 1)**3*(v + 23)/2
Let -2*r**4/9 + 34*r**3/9 - 14*r**2 - 18*r = 0. Calculate r.
-1, 0, 9
Solve k**4 - 6*k**3 - 9*k**2 + 14*k = 0.
-2, 0, 1, 7
Factor 4*w**3 - 28*w**2 - 40*w + 64.
4*(w - 8)*(w - 1)*(w + 2)
Find l, given that 14*l**5 + 386*l**4 - 3486*l**3 + 5566*l**2 + 6064*l - 3360 = 0.
-35, -1, 3/7, 4
Factor 4*q**2 - 38*q - 182.
2*(q - 13)*(2*q + 7)
Factor 16*k**2 - 204*k - 52.
4*(k - 13)*(4*k + 1)
Suppose -n**3/4 - n**2 - 5*n/4 - 1/2 = 0. Calculate n.
-2, -1
What is y in 5*y**3 - 370*y**2 + 1075*y - 710 = 0?
1, 2, 71
Factor 363*v**3 - 22077*v**2 + 39240*v - 17700.
3*(v - 59)*(11*v - 10)**2
Let -m**4 - 151*m**3 + m**2 + 151*m = 0. What is m?
-151, -1, 0, 1
Let -2*o**4/11 + 14*o**3/11 + 54*o**2/11 + 58*o/11 + 20/11 = 0. Calculate o.
-1, 10
Factor -2*t**3/3 + 2*t**2 + 6*t + 10/3.
-2*(t - 5)*(t + 1)**2/3
Factor 4*f**3 + 252*f**2 + 5292*f + 37044.
4*(f + 21)**3
Factor 2*n**3/9 + 4*n**2/3 + 10*n/9 - 8/3.
2*(n - 1)*(n + 3)*(n + 4)/9
Factor -5*d**4 + 360*d**3 - 6825*d**2 + 12250*d.
-5*d*(d - 35)**2*(d - 2)
Let 2*b**5/7 - 86*b**4/7 + 964*b**3/7 - 796*b**2/7 - 138*b + 126 = 0. Calculate b.
-1, 1, 21
Factor -d**2/8 + 33*d/4 - 16.
-(d - 64)*(d - 2)/8
Let -51*h**3/2 - 105*h**2/2 - 3*h = 0. What is h?
-2, -1/17, 0
Solve 16*a**3 + 892*a**2 + 2356*a + 1272 = 0 for a.
-53, -2, -3/4
Factor 5*n**2 - 4380*n + 959220.
5*(n - 438)**2
Find g, given that -3*g**3/5 - 3*g**2 - 12*g/5 = 0.
-4, -1, 0
Determine g so that g**4 - 15*g**3 + 12*g**2 + 28*g = 0.
-1, 0, 2, 14
Factor c**3/3 - c**2/3 - 14*c.
c*(c - 7)*(c + 6)/3
Factor -5*m**4/3 + 310*m**3/3 + 105*m**2.
-5*m**2*(m - 63)*(m + 1)/3
Find j, given that -2*j**3/3 - 80*j**2/3 + 82*j/3 = 0.
-41, 0, 1
Factor -2*p**3 + 104*p**2 + 2*p - 104.
-2*(p - 52)*(p - 1)*(p + 1)
Solve 2*w**4/13 + 10*w**3/13 - 28*w**2/13 = 0 for w.
-7, 0, 2
Suppose -3*j**3 - 81*j**2 + 84*j = 0. What is j?
-28, 0, 1
What is v in -v**2/6 + 5*v/6 + 7/3 = 0