 -2*d**2/3 - 6008*d/3 - 4512008/3.
-2*(d + 1502)**2/3
Factor -s**5/4 + 7*s**4/2 + 29*s**3 - 470*s**2 - 800*s + 16000.
-(s - 10)**3*(s + 8)**2/4
Factor 44*c**2 - 20*c - 24.
4*(c - 1)*(11*c + 6)
Let 5*t**3 + 100*t**2 + 605*t + 1050 = 0. What is t?
-10, -7, -3
Let -2*j**2/5 - 162*j/5 - 316/5 = 0. Calculate j.
-79, -2
Determine p so that -2*p**3/15 + 12*p**2/5 - 94*p/15 + 4 = 0.
1, 2, 15
Factor -3*b**4/7 - 216*b**3/7 + 63*b**2 - 222*b/7.
-3*b*(b - 1)**2*(b + 74)/7
Factor -3*f**4 + 45*f**3 - 189*f**2 + 243*f.
-3*f*(f - 9)*(f - 3)**2
Factor -2*y**2/19 + 12*y/19.
-2*y*(y - 6)/19
Factor -3*s**4 - 6*s**3 + 60*s**2 - 72*s.
-3*s*(s - 2)**2*(s + 6)
Factor 28*o**3 - 48*o**2 - 16*o.
4*o*(o - 2)*(7*o + 2)
Factor 18*r**3/7 - 310*r**2/7 + 68*r/7.
2*r*(r - 17)*(9*r - 2)/7
Find d such that -3*d**4 + 15*d**3 + 18*d**2 - 96*d - 96 = 0.
-2, -1, 4
Factor 3*o**2/7 + 501*o/7 - 72.
3*(o - 1)*(o + 168)/7
Factor -2*r**3 + 32*r**2 - 82*r + 52.
-2*(r - 13)*(r - 2)*(r - 1)
Factor -1331*q**5 - 76472*q**4 - 1077395*q**3 + 602918*q**2 - 110548*q + 6728.
-(q + 29)**2*(11*q - 2)**3
Determine c so that 2*c**5/11 - 38*c**4/11 + 116*c**3/11 + 84*c**2/11 - 342*c/11 - 270/11 = 0.
-1, 3, 15
Let 2*f**4/3 - 4*f**3 - 202*f**2/3 + 76*f + 416/3 = 0. Calculate f.
-8, -1, 2, 13
Factor 3*s**4 - 12*s**3 + 48*s - 48.
3*(s - 2)**3*(s + 2)
Suppose 36*z**5/5 - 8*z**4 + 4*z**3/5 = 0. Calculate z.
0, 1/9, 1
Factor -3*z**4 + 87*z**3 - 801*z**2 + 2025*z + 2916.
-3*(z - 12)*(z - 9)**2*(z + 1)
Solve -20*r**3/3 + 868*r**2/3 - 2744*r/3 + 320 = 0 for r.
2/5, 3, 40
What is u in -4*u**3/5 - 1496*u**2/5 - 5932*u/5 - 888 = 0?
-370, -3, -1
Factor -3*w**2 + 63*w - 114.
-3*(w - 19)*(w - 2)
Find q, given that 22*q**4 + 150*q**3 + 302*q**2 + 138*q - 36 = 0.
-3, -1, 2/11
Suppose 2*j**3/13 - 3750*j**2/13 + 2343750*j/13 - 488281250/13 = 0. Calculate j.
625
What is r in -r**4/3 - 31*r**3/2 - 109*r**2 - 152*r/3 = 0?
-38, -8, -1/2, 0
Determine n, given that 3*n**2/7 - 78*n + 2655/7 = 0.
5, 177
Find o such that 2*o**3 - 768*o**2 - 2*o + 768 = 0.
-1, 1, 384
Factor -4*r**3/3 - 44*r**2/3 - 35*r - 24.
-(r + 8)*(2*r + 3)**2/3
Factor -3*u**2/5 - 84*u - 2940.
-3*(u + 70)**2/5
Factor 16*k**2 - 196*k + 48.
4*(k - 12)*(4*k - 1)
Determine y, given that -2*y**3 + 176*y**2 + 542*y + 364 = 0.
-2, -1, 91
Factor x**3/4 + 15*x**2/4 + 19*x/2 + 6.
(x + 1)*(x + 2)*(x + 12)/4
Factor -2*h**3/13 + 8*h**2/13 - 6*h/13.
-2*h*(h - 3)*(h - 1)/13
Suppose 2*g**2/11 + 32*g/11 + 96/11 = 0. What is g?
-12, -4
Solve 9*u**5 - 78*u**4 + 40*u**3 + 70*u**2 - 49*u + 8 = 0.
-1, 1/3, 1, 8
Factor -10*n**2 - 34*n - 12.
-2*(n + 3)*(5*n + 2)
Solve 12*v**5 + 268*v**4 + 2116*v**3 + 7012*v**2 + 9024*v + 2304 = 0 for v.
-8, -3, -1/3
Factor -i**5 - 39*i**4 + 220*i**3.
-i**3*(i - 5)*(i + 44)
Factor 5*h**2 + 150*h - 155.
5*(h - 1)*(h + 31)
Suppose m**3/3 + 155*m**2/3 - 158*m/3 - 104 = 0. Calculate m.
-156, -1, 2
Determine x so that 46*x**4/3 - 32*x**3 - 682*x**2/3 + 572*x - 48 = 0.
-4, 2/23, 3
Find z such that 4*z**5 + 68*z**4 + 212*z**3 + 28*z**2 - 312*z = 0.
-13, -3, -2, 0, 1
Determine j, given that 2*j**3/3 + 230*j**2/3 + 454*j/3 + 226/3 = 0.
-113, -1
Factor -27*h**4 + 2565*h**3 + 2583*h**2 + 863*h + 96.
-(h - 96)*(3*h + 1)**3
Determine o, given that 686*o**4 - 4655*o**3 + 3374*o**2 - 852*o + 72 = 0.
3/14, 2/7, 6
Suppose -o**3/5 - 12*o**2/5 - 9*o - 10 = 0. What is o?
-5, -2
Suppose 3*m**3/2 + 183*m**2/4 + 81*m/4 - 135/2 = 0. What is m?
-30, -3/2, 1
Factor 7*n**5/2 + 19*n**4/2 + 15*n**3/2 + n**2/2 - n.
n*(n + 1)**3*(7*n - 2)/2
Solve -2*q**3 + 74*q**2 - 72*q = 0.
0, 1, 36
Determine m so that m**5/3 + 5*m**4/3 - 58*m**3/3 + 94*m**2/3 + 19*m - 33 = 0.
-11, -1, 1, 3
Determine x, given that x**4 - 15*x**3 + 27*x**2 - 13*x = 0.
0, 1, 13
Let q**5/9 - 4*q**3/9 - 2*q**2/9 + q/3 + 2/9 = 0. Calculate q.
-1, 1, 2
Determine n so that 2*n**3/7 - 36*n**2/7 + 34*n/7 = 0.
0, 1, 17
Find m such that 5*m**4 + 25*m**3 - 30*m**2 - 160*m + 160 = 0.
-4, 1, 2
Determine a, given that -a**4 - 26*a**3 + 85*a**2 - 58*a = 0.
-29, 0, 1, 2
Suppose 2*l**5/3 + 4*l**4 + 26*l**3/3 + 8*l**2 + 8*l/3 = 0. Calculate l.
-2, -1, 0
Factor 5*z**2 + 5240*z + 1372880.
5*(z + 524)**2
Factor 9*g**2 - 2148*g + 1428.
3*(g - 238)*(3*g - 2)
Suppose v**2 - 11*v + 10 = 0. Calculate v.
1, 10
Determine u so that -2*u**4 - 22*u**3 + 62*u**2 + 118*u - 156 = 0.
-13, -2, 1, 3
Suppose -y**2/4 - 11*y/4 - 5/2 = 0. Calculate y.
-10, -1
Determine y, given that y**3 + 28*y**2 + 165*y - 450 = 0.
-15, 2
Factor -y**2 + 50*y + 336.
-(y - 56)*(y + 6)
Determine i, given that -32*i**2/5 - 6*i/5 = 0.
-3/16, 0
Factor -2*o**4 - 1596*o**3 - 316802*o**2 + 638400*o - 320000.
-2*(o - 1)**2*(o + 400)**2
Determine j so that -5*j**3 - 560*j**2 - 20425*j - 240370 = 0.
-43, -26
Factor 4*d**3 - 196*d**2 + 1004*d + 1204.
4*(d - 43)*(d - 7)*(d + 1)
Factor -3*l**4 - 738*l**3 - 46116*l**2 - 89304*l.
-3*l*(l + 2)*(l + 122)**2
Factor v**3/4 + 7*v**2/4 - 7*v + 5.
(v - 2)*(v - 1)*(v + 10)/4
Determine c, given that 16*c**4/17 - 22*c**3/17 - 10*c**2/17 + 22*c/17 - 6/17 = 0.
-1, 3/8, 1
Find d such that -2*d**4 - 10*d**3 + 66*d**2 - 54*d = 0.
-9, 0, 1, 3
Let -x**5/3 - x**4 - x**3/3 + x**2 + 2*x/3 = 0. Calculate x.
-2, -1, 0, 1
Factor -x**5 + 34*x**4 - 160*x**3 - 2400*x**2.
-x**2*(x - 20)**2*(x + 6)
Factor 4*v**3 + 60*v**2 + 300*v + 500.
4*(v + 5)**3
Factor 2*c**3/7 - 40*c**2/7 + 118*c/7 + 160/7.
2*(c - 16)*(c - 5)*(c + 1)/7
Factor -b**2/4 + 23*b/4 + 6.
-(b - 24)*(b + 1)/4
Suppose 4*a**5/7 + 16*a**4/7 - 468*a**3/7 + 176*a**2 - 112*a = 0. Calculate a.
-14, 0, 1, 2, 7
Factor g**5/3 + 161*g**4/3.
g**4*(g + 161)/3
Factor -22*z**5/13 - 158*z**4/13 - 28*z**3/13.
-2*z**3*(z + 7)*(11*z + 2)/13
Factor -2*n**3 + 3*n**2 + 18*n + 8.
-(n - 4)*(n + 2)*(2*n + 1)
Solve -4*z**3 - 20*z**2 - 24*z = 0.
-3, -2, 0
Find x, given that -2*x**2/9 - 976*x/9 - 974/9 = 0.
-487, -1
Factor -12*n**2 - 106*n - 120.
-2*(2*n + 15)*(3*n + 4)
Solve z**2 + 224*z + 223 = 0 for z.
-223, -1
Suppose 25*n**3/6 - 40*n**2/3 - 785*n/6 + 140 = 0. Calculate n.
-24/5, 1, 7
Let -6*t**5/7 + 60*t**3/7 - 120*t**2/7 + 90*t/7 - 24/7 = 0. What is t?
-4, 1
Factor h**4 - 9*h**3 + 28*h**2 - 36*h + 16.
(h - 4)*(h - 2)**2*(h - 1)
Find x such that 9*x**5/5 + 2*x**4 - 81*x**3/5 - 18*x**2 = 0.
-3, -10/9, 0, 3
Let -2*r**5/17 + 36*r**4/17 + 58*r**3/17 - 396*r**2/17 + 304*r/17 = 0. What is r?
-4, 0, 1, 2, 19
What is u in 4*u**5/7 - 23*u**4/7 + 46*u**3/7 - 5*u**2 + 4*u/7 + 4/7 = 0?
-1/4, 1, 2
Find x such that -x**3/6 - 4*x**2/3 - 5*x/6 + 7/3 = 0.
-7, -2, 1
Solve 436*c**2/11 - 117*c/11 + 2/11 = 0.
2/109, 1/4
Factor -3*z**4 - 301*z**3 + 508*z**2 - 204*z.
-z*(z - 1)*(z + 102)*(3*z - 2)
What is n in -55*n**5 - 290*n**4 - 570*n**3 - 520*n**2 - 215*n - 30 = 0?
-2, -1, -3/11
Suppose -u**3 + 66*u**2 + 4095*u + 47628 = 0. What is u?
-21, 108
Factor -85*r**2/2 - 1420*r + 850.
-5*(r + 34)*(17*r - 10)/2
Solve 135*t**5 + 10*t**4 = 0.
-2/27, 0
Factor -i**2 - 800*i - 160000.
-(i + 400)**2
Factor 3*p**3 + 48*p**2 + 192*p.
3*p*(p + 8)**2
Determine w, given that -w**3 - 47*w**2 + 97*w - 49 = 0.
-49, 1
Factor 4*c**3 - 100*c**2 - 2624*c.
4*c*(c - 41)*(c + 16)
Factor 2*t**2/3 - 178*t - 536/3.
2*(t - 268)*(t + 1)/3
Factor -2*k**4/7 + 320*k**3/7 - 19200*k**2/7 + 512000*k/7 - 5120000/7.
-2*(k - 40)**4/7
Solve -2*t**5/7 + 10*t**4/7 - 6*t**3/7 - 10*t**2/7 + 8*t/7 = 0 for t.
-1, 0, 1, 4
Let -4*y**3 + 520*y**2 - 16368*y - 34848 = 0. Calculate y.
-2, 66
Factor 3*x**2/5 + 48*x + 237/5.
3*(x + 1)*(x + 79)/5
Find x such that -5*x**3 - 150*x**2 - 1095*x - 950 = 0.
-19, -10, -1
Factor -2*r**3/9 - 10*r**2 - 96*r + 384.
-2*(r - 3)*(r + 24)**2/9
Factor -4*z**3 - 140*z**2 - 508*z - 372.
-4*(z + 1)*(z + 3)*(z + 31)
Find r such that 2*r**5 + 654*r**4 - 5316*r**3 + 14692*r**2 - 16062*r + 6030 = 0.
-335, 1, 3
What is w in -242*w**4/7 + 1056*w**3/7 + 850*w**2/7 - 408*w/7 + 40/7 = 0?
-1, 2/11, 5
Factor 3*g**2/4 - 131*g/8 - 11/4.
(g - 22)*(6*g + 1)/8
Suppose 20*s**5 - 60*s**4 - 1095*s**3 + 40*s**2 + 825*s + 270 = 0. What is s?
-6, -1/2, 1, 9
Suppose 17*k**4/5 + 2*k**3/5 - 51*k**2/5 - 8*k - 4/5 = 0. Calculate k.
-1, -2/17, 2
Factor 3*j**4 - 360*j**3 - 363*j**2.
3*j**2*(j - 121)*(j + 1)
Factor 51*j**2 + 138*j + 72.
3*(j + 2)*(17*j + 12)
Determine w, given that 5*w**4 - 75*w**2 - 50*w + 120 = 0.
-3, -2, 1, 4
Factor 128*q**4/9 - 3424*q**3/9 + 280*q**2 - 626*q/9 + 52/9.
2*(q - 2