such that 4*l**3/5 - 52*l**2/5 - 4*l/5 + 52/5 = 0.
-1, 1, 13
Let 2*g**4/3 - 4*g**3 - 160*g**2/3 - 92*g - 130/3 = 0. What is g?
-5, -1, 13
Determine j, given that 2*j**3 + 126*j**2 + 480*j + 472 = 0.
-59, -2
Determine n so that -n**2 - 282*n - 19881 = 0.
-141
Suppose -v**4/4 - 5*v**3/2 - 29*v**2/4 - 8*v - 3 = 0. Calculate v.
-6, -2, -1
Factor -b**4 - 13*b**3 - 57*b**2 - 99*b - 54.
-(b + 1)*(b + 3)**2*(b + 6)
Factor 4*r**3 - 68*r**2 + 188*r + 260.
4*(r - 13)*(r - 5)*(r + 1)
Factor 2*f**3 + 542*f**2 + 1078*f + 538.
2*(f + 1)**2*(f + 269)
Factor -14*c**4 - 18*c**3.
-2*c**3*(7*c + 9)
Determine x so that 14*x**3 - 102*x**2 - 224*x + 72 = 0.
-2, 2/7, 9
Find d such that -16*d**4/9 - 2452*d**3/9 - 31004*d**2/3 + 71764*d/9 + 23716/9 = 0.
-77, -1/4, 1
Find r, given that -5*r**4 + 700*r**3 - 25860*r**2 + 95200*r - 92480 = 0.
2, 68
Find i such that 9*i**2/5 + 2541*i/5 + 1176 = 0.
-280, -7/3
Solve -x**3 - 23*x**2 - 120*x + 144 = 0.
-12, 1
Solve z**5 + 3*z**4 - 7*z**3 - 11*z**2 + 6*z + 8 = 0 for z.
-4, -1, 1, 2
Let -2*z**3 + 36*z**2 + 278*z + 240 = 0. Calculate z.
-5, -1, 24
Factor v**2/3 + 5782*v/3 + 8357881/3.
(v + 2891)**2/3
Suppose -4*n**5 - 288*n**4 + 16*n**3 + 1152*n**2 = 0. Calculate n.
-72, -2, 0, 2
Factor -x**4/2 + 223*x**3/2 - 8325*x**2 + 210826*x - 202612.
-(x - 74)**3*(x - 1)/2
Factor p**2/7 - 461*p/7.
p*(p - 461)/7
Factor -5*i**3 + 6940*i**2 - 27700*i + 27680.
-5*(i - 1384)*(i - 2)**2
Let -2*y**2/7 + 40*y/7 = 0. What is y?
0, 20
Factor r**4/4 + 538*r**3 + 1159925*r**2/4 + 1155625*r/2.
r*(r + 2)*(r + 1075)**2/4
Factor x**2/2 + 74*x + 147/2.
(x + 1)*(x + 147)/2
Factor o**3/4 + 19*o**2/4 + 31*o/2 - 52.
(o - 2)*(o + 8)*(o + 13)/4
Solve -s**5/3 + 10*s**4/3 - 32*s**3/3 + 38*s**2/3 - 5*s = 0 for s.
0, 1, 3, 5
Let -n**5/7 + n**4/7 + n**3 - n**2/7 - 6*n/7 = 0. What is n?
-2, -1, 0, 1, 3
Factor -o**4 - 20*o**3 + o**2 + 20*o.
-o*(o - 1)*(o + 1)*(o + 20)
Determine w so that -3*w**2 + 318*w - 8427 = 0.
53
Factor -3*d**2 - 360*d - 708.
-3*(d + 2)*(d + 118)
Factor 4*c**4 + 32*c**3 + 28*c**2.
4*c**2*(c + 1)*(c + 7)
Factor 2*f**3/7 - 2*f**2 + 24*f/7.
2*f*(f - 4)*(f - 3)/7
Solve -44*q**5 + 2*q**4 + 34*q**3 - 12*q**2 = 0 for q.
-1, 0, 1/2, 6/11
Factor -w**2 + 220*w - 12100.
-(w - 110)**2
Find q, given that -4*q**2/7 + 648*q/7 - 26244/7 = 0.
81
Factor -g**2 + 128*g.
-g*(g - 128)
Determine x so that -25*x**4 + 145*x**3 - 45*x**2 - 265*x - 50 = 0.
-1, -1/5, 2, 5
Suppose -t**4/4 - 25*t**3/4 - 6*t**2 = 0. Calculate t.
-24, -1, 0
Solve b**5/10 + b**4/2 - 4*b**3/5 - 6*b**2/5 = 0 for b.
-6, -1, 0, 2
Let s**5/2 + 5*s**4/2 - 3*s**3/2 - 13*s**2/2 + 5*s = 0. What is s?
-5, -2, 0, 1
Factor g**2/4 + 29*g/4 + 7.
(g + 1)*(g + 28)/4
Factor 3*d**4 - 12*d**3 + 9*d**2 + 12*d - 12.
3*(d - 2)**2*(d - 1)*(d + 1)
Solve 8*w**4 - 7490*w**3 + 2338128*w**2 - 243554688*w + 60742656 = 0.
1/4, 312
Factor 4*l**2/5 - 12*l/5 - 8.
4*(l - 5)*(l + 2)/5
Find b, given that b**5/6 - 3*b**4/2 + 2*b**3 + 40*b**2/3 - 32*b = 0.
-3, 0, 4
Factor 15*o**5 - 171*o**4 + 696*o**3 - 1272*o**2 + 1008*o - 240.
3*(o - 5)*(o - 2)**3*(5*o - 2)
Suppose 5*n**3 + 18*n**2 + 12*n - 8 = 0. Calculate n.
-2, 2/5
Factor -k**2/3 + 3*k + 52/3.
-(k - 13)*(k + 4)/3
Factor 2*m**4 - 26*m**3/5 + 18*m**2/5 + 2*m/5 - 4/5.
2*(m - 1)**3*(5*m + 2)/5
Factor -30*v**3 - 4*v**2 + 30*v + 4.
-2*(v - 1)*(v + 1)*(15*v + 2)
Determine d, given that -3*d**2 - 84*d - 81 = 0.
-27, -1
Factor -2*j**3/17 - 168*j**2/17 - 4704*j/17 - 43904/17.
-2*(j + 28)**3/17
Determine a so that 3*a**2 - 21*a + 30 = 0.
2, 5
Factor -5*t**4 - 335*t**3 - 2895*t**2 - 2565*t.
-5*t*(t + 1)*(t + 9)*(t + 57)
What is i in i**5 - 10*i**4 - 2*i**3 + 20*i**2 + i - 10 = 0?
-1, 1, 10
Factor -2*c**2 - 212*c + 214.
-2*(c - 1)*(c + 107)
Suppose 3*t**4/4 + 23*t**3/2 - 8*t**2 = 0. What is t?
-16, 0, 2/3
Factor s**2/5 + 89*s/5 + 88/5.
(s + 1)*(s + 88)/5
Solve -8*l**2 + 34*l + 342 = 0 for l.
-19/4, 9
Let -f**3/4 + f**2/4 + f - 1 = 0. What is f?
-2, 1, 2
Solve -4*p**4 + 1320*p**3 - 117748*p**2 + 1459920*p - 4892944 = 0.
7, 158
Find y such that -9*y**2/10 + 28*y/5 - 6/5 = 0.
2/9, 6
Factor -4*r**5/3 - 8*r**4/3 + 8*r**3/3 + 32*r**2/3 + 28*r/3 + 8/3.
-4*(r - 2)*(r + 1)**4/3
Factor -2*d**3/13 + 284*d**2/13 - 2176*d/13 + 4288/13.
-2*(d - 134)*(d - 4)**2/13
Solve -2*n**2/7 - 76*n/7 - 74/7 = 0.
-37, -1
Find m, given that -4*m**3/7 + 4*m**2 - 8*m + 32/7 = 0.
1, 2, 4
Factor -2*b**3 - 398*b**2 - 19600*b + 20000.
-2*(b - 1)*(b + 100)**2
Factor 2*q**4 - 144*q**3 + 3588*q**2 - 33856*q + 73002.
2*(q - 23)**3*(q - 3)
Find m, given that 2*m**4 + 50*m**3 + 46*m**2 - 50*m - 48 = 0.
-24, -1, 1
Suppose q**5 + 13*q**4 + 12*q**3 = 0. Calculate q.
-12, -1, 0
Solve 3*y**2/4 + 219*y/2 + 828 = 0.
-138, -8
Determine d so that -d**4/2 - 3*d**3/2 + 112*d**2 + 690*d - 800 = 0.
-10, 1, 16
Determine h, given that -h**4/4 - 3*h**3/2 - 9*h**2/4 + h + 3 = 0.
-3, -2, 1
Factor -p**3 - 293*p**2 + 589*p - 295.
-(p - 1)**2*(p + 295)
Suppose -10*b**4 - 12*b**3 + 18*b**2 + 4*b = 0. What is b?
-2, -1/5, 0, 1
Factor -4*z**4 - 392*z**3 - 4172*z**2 - 3784*z.
-4*z*(z + 1)*(z + 11)*(z + 86)
Let -7*b**3 - 404*b**2 - 5771*b + 1682 = 0. Calculate b.
-29, 2/7
Determine x so that -21*x**3 - 207*x**2 + 30*x = 0.
-10, 0, 1/7
Find j, given that 4*j**3 - 484*j**2 + 16576*j - 112896 = 0.
9, 56
Solve -2*n**4/3 + 10*n**2 + 20*n/3 - 16 = 0 for n.
-3, -2, 1, 4
Suppose d**2/2 + 29*d/2 + 27 = 0. What is d?
-27, -2
Factor -5*f**4 - 70*f**3 - 165*f**2 + 560*f - 320.
-5*(f - 1)**2*(f + 8)**2
Factor 4*s**5 + 20*s**4 + 8*s**3 - 32*s**2.
4*s**2*(s - 1)*(s + 2)*(s + 4)
What is c in 15*c**4 - 925*c**3 + 605*c**2 + 305*c = 0?
-1/3, 0, 1, 61
Factor 4*m**2/7 + 4*m/7.
4*m*(m + 1)/7
Find k such that -k**4/5 - 6*k**3/5 + 16*k**2/5 = 0.
-8, 0, 2
Factor -3*k**2 - 213*k - 414.
-3*(k + 2)*(k + 69)
Factor v**5/3 - 13*v**4/3 + 19*v**3/3 + 145*v**2/3 + 176*v/3 + 64/3.
(v - 8)**2*(v + 1)**3/3
Factor 25*l**3/2 - 3405*l**2/2 - 1368*l - 274.
(l - 137)*(5*l + 2)**2/2
Factor 2*l**2/5 + 6*l/5 - 16.
2*(l - 5)*(l + 8)/5
Factor 3*x**3 + 9*x**2 - 12.
3*(x - 1)*(x + 2)**2
Factor 4*q**5 - 8*q**4 - 32*q**3 - 8*q**2 + 28*q + 16.
4*(q - 4)*(q - 1)*(q + 1)**3
Suppose 4*w**2 - 136*w - 140 = 0. Calculate w.
-1, 35
Find o, given that -o**5 - 62*o**4 - 55*o**3 + 366*o**2 = 0.
-61, -3, 0, 2
Suppose -46*q**2/5 - 91*q/5 + 2/5 = 0. What is q?
-2, 1/46
Find w such that 6480*w**5 - 11448*w**4 + 7461*w**3 - 2130*w**2 + 225*w = 0.
0, 1/3, 5/12, 3/5
Let k**3/3 + 169*k**2/3 - 472*k = 0. What is k?
-177, 0, 8
Find h such that -h**5 + h**4/4 + 5*h**3 - 5*h**2/4 - 4*h + 1 = 0.
-2, -1, 1/4, 1, 2
What is g in -2*g**5/11 + 20*g**4/11 - 58*g**3/11 + 64*g**2/11 - 24*g/11 = 0?
0, 1, 2, 6
What is r in -9*r**3 - 78*r**2 - 48*r = 0?
-8, -2/3, 0
Solve -4*y**4 + 72*y**3 + 76*y**2 = 0 for y.
-1, 0, 19
Factor -4*m**3 - 128*m**2 - 244*m - 120.
-4*(m + 1)**2*(m + 30)
Factor 3*j**2 + 153*j + 150.
3*(j + 1)*(j + 50)
Let k**4/4 + 12*k**3 + 93*k**2/4 + 23*k/2 = 0. Calculate k.
-46, -1, 0
Factor -3*u**2/4 - 231*u/2 - 228.
-3*(u + 2)*(u + 152)/4
Let -4*g**5 - 48*g**4 + 53*g**3 + 12*g**2 - 13*g = 0. What is g?
-13, -1/2, 0, 1/2, 1
Factor 3*m**2 + 11190*m + 10434675.
3*(m + 1865)**2
Find x, given that 4*x**4/5 - 128*x**3/5 + 204*x**2/5 + 4048*x/5 + 3712/5 = 0.
-4, -1, 8, 29
Solve -r**4 - 26*r**3 - 160*r**2 + 234*r + 1521 = 0.
-13, -3, 3
Factor 6*t**4/17 + 88*t**3/17 - 30*t**2/17.
2*t**2*(t + 15)*(3*t - 1)/17
Factor -a**2/5 + 1374*a/5 - 471969/5.
-(a - 687)**2/5
Find x, given that 6*x**5/5 + 18*x**4/5 + 12*x**3/5 - 12*x**2/5 - 18*x/5 - 6/5 = 0.
-1, 1
Factor -g**4/4 + 73*g**3/4 - 35*g**2/2 - 36*g.
-g*(g - 72)*(g - 2)*(g + 1)/4
Factor 2*d**3 - 60*d**2.
2*d**2*(d - 30)
Solve 3*r**3 + 240*r**2 + 1533*r = 0 for r.
-73, -7, 0
Factor -4*v**2/5 - 1672*v/5 + 1676/5.
-4*(v - 1)*(v + 419)/5
Find p, given that 4*p**3 + 4*p**2 = 0.
-1, 0
Factor n**4/4 - 3*n**3/4 + 3*n**2/4 - n/4.
n*(n - 1)**3/4
Solve 2*z**3 - 2016*z**2 + 508032*z = 0.
0, 504
Suppose -22*j**4/3 - 46*j**3 + 180*j**2 = 0. What is j?
-9, 0, 30/11
Let 3*i**2 + 99*i + 96 = 0. What is i?
-32, -1
Let 44*g**5 + 36*g**4 - 140*g**3 - 196*g**2 - 48*g + 16 = 0. What is g?
-1, 2/11, 2
Find p such that p**4 + 90*p**3 + 1837*p**2 - 8460*p + 8836 = 0.
-47, 2
Suppose k**2/10 + 27*k/5 - 56/5 = 0. Calculate k.
-56, 2
Factor -5*v**4 - 940*v**3 - 60390*v**2 - 1413980*v - 5674525.
-5*(v + 5)*(v + 61