6
Factor 36*x**3 - 128532*x**2 - 85700*x - 14284.
4*(x - 3571)*(3*x + 1)**2
Factor -2*q**5 + 8*q**4 - 28*q**2 + 34*q - 12.
-2*(q - 3)*(q - 1)**3*(q + 2)
Factor 5*l**3/2 - 40*l**2 + 345*l/2 - 225.
5*(l - 10)*(l - 3)**2/2
Determine t, given that t**3 + 8*t**2 - 859*t + 850 = 0.
-34, 1, 25
Suppose 3*q**5 + 3*q**4 - 21*q**3 - 3*q**2 + 18*q = 0. Calculate q.
-3, -1, 0, 1, 2
Let 9*i**5 + 21*i**4 - 77*i**3 - 73*i**2 + 264*i - 144 = 0. Calculate i.
-3, 1, 4/3
Let 4*r**5 - 4*r**4 - 8*r**3 = 0. What is r?
-1, 0, 2
Determine v, given that v**4 - 4*v**3 - 19*v**2 - 14*v = 0.
-2, -1, 0, 7
Factor -3*g**3 - 60*g**2 + 4593*g + 4650.
-3*(g - 31)*(g + 1)*(g + 50)
Suppose -3*s**4 + 456*s**3/7 + 153*s**2/7 - 456*s/7 - 132/7 = 0. Calculate s.
-1, -2/7, 1, 22
Factor -2*f**2/15 - 32*f/15 - 26/5.
-2*(f + 3)*(f + 13)/15
Let -c**5/2 - 51*c**4/2 + 53*c**3 - c**2 - 105*c/2 + 53/2 = 0. Calculate c.
-53, -1, 1
Determine w so that 4986*w**2 - 849*w + 3 = 0.
1/277, 1/6
Solve -2*m**2/9 - 10700*m/9 - 14311250/9 = 0.
-2675
Solve -g**4/5 + 1170*g**3 - 1711125*g**2 = 0 for g.
0, 2925
What is u in 13785*u**2 - 13765*u - 20 = 0?
-4/2757, 1
Let z**5/3 + 54*z**4 + 2132*z**3 - 13448*z**2/3 = 0. Calculate z.
-82, 0, 2
Let -36*j**4/7 + 54*j**3/7 + 34*j**2/7 + 4*j/7 = 0. Calculate j.
-1/3, -1/6, 0, 2
Factor 5*p**3/6 + 415*p**2/6 + 1400*p - 1470.
5*(p - 1)*(p + 42)**2/6
Suppose 5*s**3 + 30*s**2 - 80*s = 0. What is s?
-8, 0, 2
Determine o so that 3*o**2/7 + 48*o/7 + 12 = 0.
-14, -2
What is y in 4*y**5 + 12*y**4 - 16*y**3 - 64*y**2 + 64 = 0?
-2, 1, 2
Factor -o**3/2 + o**2/4 + 5*o/2.
-o*(o + 2)*(2*o - 5)/4
Solve 4*m**4 + 324*m**3 - 996*m**2 + 1004*m - 336 = 0 for m.
-84, 1
Determine j, given that -3*j**4/2 + 126*j**3 - 3645*j**2 + 39366*j - 177147/2 = 0.
3, 27
Factor b**3/2 - 3*b**2/2.
b**2*(b - 3)/2
Factor 5*v**5 - 85*v**4 + 215*v**3 + 1205*v**2 + 1400*v + 500.
5*(v - 10)**2*(v + 1)**3
Find p such that 5*p**4 + 290*p**3 + 5700*p**2 + 39710*p + 34295 = 0.
-19, -1
Factor -3*q**2/8 - 9*q/8 + 3/2.
-3*(q - 1)*(q + 4)/8
Factor 3*c**3/2 + 15*c**2/2 - 51*c/2 - 63/2.
3*(c - 3)*(c + 1)*(c + 7)/2
Find i such that -4*i**3 + 224*i**2 + 460*i + 232 = 0.
-1, 58
Find f such that 5*f**3 - 25*f**2 - 10*f + 120 = 0.
-2, 3, 4
Factor 2*v**3 - 3300*v**2 - 2*v + 3300.
2*(v - 1650)*(v - 1)*(v + 1)
Factor -5*p**4 + 75*p**3 - 220*p**2 - 300*p.
-5*p*(p - 10)*(p - 6)*(p + 1)
Factor 39*t**2 - 391*t + 10.
(t - 10)*(39*t - 1)
Factor -z**3 - 13*z**2 + 30*z.
-z*(z - 2)*(z + 15)
Find n, given that -5*n**3 - 105*n**2 + 350*n - 240 = 0.
-24, 1, 2
Factor 15*q**3 + 141*q**2 + 285*q - 225.
3*(q + 5)**2*(5*q - 3)
Factor -l**2 + 208*l + 209.
-(l - 209)*(l + 1)
Solve -3*r**5/4 - 9*r**4 - 33*r**3/2 + 63*r**2 - 147*r/4 = 0 for r.
-7, 0, 1
Find q such that 2*q**4/5 + 2*q**3/5 - 6*q**2/5 - 2*q/5 + 4/5 = 0.
-2, -1, 1
Let 680*g**2 + 1366*g + 12 = 0. Calculate g.
-2, -3/340
Factor -2*w**2/3 + 76*w/3.
-2*w*(w - 38)/3
Factor -t**3/6 - 62*t**2/3 + 125*t/6.
-t*(t - 1)*(t + 125)/6
Solve -27*h**5 - 4677*h**4 + 27636*h**3 - 51408*h**2 + 25824*h + 8592 = 0.
-179, -2/9, 2
Determine h so that 14*h**4/3 - 4*h**3/3 - 56*h**2/3 + 16*h/3 = 0.
-2, 0, 2/7, 2
Let 21*d**2 + 35316*d - 10092 = 0. What is d?
-1682, 2/7
Determine c so that -3*c**5 - 180*c**4 - 3024*c**3 - 9408*c**2 = 0.
-28, -4, 0
Factor 2*y**2 - 304*y.
2*y*(y - 152)
Find n such that 3*n**2 - 117*n + 114 = 0.
1, 38
Suppose 9*m**5 + 60*m**4 - 63*m**3 - 606*m**2 + 540*m + 600 = 0. Calculate m.
-5, -2/3, 2
Factor -4*n**2/7 + 23*n/7 - 15/7.
-(n - 5)*(4*n - 3)/7
Determine o so that 5*o**4 + 19*o**3 - 233*o**2 + 29*o + 180 = 0.
-9, -4/5, 1, 5
Suppose 45*q**5/7 + 73*q**4/7 - 508*q**3/7 - 332*q**2/7 - 48*q/7 = 0. What is q?
-4, -2/5, -2/9, 0, 3
Determine i, given that 4*i**3 + 4360*i**2/3 - 972*i - 1456/3 = 0.
-364, -1/3, 1
Find t such that t**3/4 - 129*t**2 - 1035*t/4 - 259/2 = 0.
-1, 518
Suppose 3*i**4/4 + 15*i**3/2 + 87*i**2/4 + 24*i + 9 = 0. Calculate i.
-6, -2, -1
Factor -3*l**5/8 - 3*l**4/2 + 3*l**3/4 + 9*l**2/2 - 27*l/8.
-3*l*(l - 1)**2*(l + 3)**2/8
Factor -3*x**2/8 - 21*x/4 - 147/8.
-3*(x + 7)**2/8
Factor -2*s**4/3 - 190*s**3/3 - 374*s**2/3 - 62*s.
-2*s*(s + 1)**2*(s + 93)/3
Determine y so that -3*y**4 - 723*y**3 - 175683*y**2/4 - 43380*y - 10800 = 0.
-120, -1/2
Determine u, given that -5*u**2 - 40*u - 75 = 0.
-5, -3
Let -35*t**4 + 3300*t**3 - 7415*t**2 + 5070*t - 920 = 0. Calculate t.
2/7, 1, 92
Solve 9*y**2/4 + 91*y/2 + 10 = 0.
-20, -2/9
Factor n**5/4 + 2*n**4 - 9*n**3/4.
n**3*(n - 1)*(n + 9)/4
Solve 234*i**5 + 138*i**4/5 - 152*i**3/5 - 8*i**2/5 = 0.
-2/5, -2/39, 0, 1/3
Factor 30258*h**2 - 984*h + 8.
2*(123*h - 2)**2
Factor 5*d**4 - 5*d**3 - 65*d**2 + 125*d - 60.
5*(d - 3)*(d - 1)**2*(d + 4)
Factor 2*p**4/9 + 4*p**3/3 + 2*p**2 - 8*p/9 - 8/3.
2*(p - 1)*(p + 2)**2*(p + 3)/9
Determine y so that -4*y**2 - 8624*y - 4648336 = 0.
-1078
Suppose l**5 + 138*l**4 - 139*l**3 = 0. What is l?
-139, 0, 1
Suppose -5*y**2 - 15440*y - 11919680 = 0. Calculate y.
-1544
Factor 4*v**3/5 - 40*v**2 - 848*v/5 - 864/5.
4*(v - 54)*(v + 2)**2/5
Determine x so that 2*x**4/13 - 2572*x**3/13 + 826898*x**2/13 = 0.
0, 643
Suppose c**5 - 7*c**4 - 3*c**3 + 23*c**2 - 14*c = 0. What is c?
-2, 0, 1, 7
Suppose 3*v**2/7 + 1986*v/7 = 0. Calculate v.
-662, 0
Factor x**2 + 12*x + 36.
(x + 6)**2
Solve -2*f**4/13 - 12*f**3/13 - 2*f**2 - 24*f/13 - 8/13 = 0 for f.
-2, -1
Factor -9*v**3 + 57*v**2 - 48*v - 60.
-3*(v - 5)*(v - 2)*(3*v + 2)
Solve -20*n**5/7 - 24*n**4 - 384*n**3/7 - 128*n**2/7 = 0 for n.
-4, -2/5, 0
Factor -5*q**3 + 100*q**2 + 215*q + 110.
-5*(q - 22)*(q + 1)**2
Find k, given that -2*k**5/9 - 64*k**4/9 - 550*k**3/9 - 1376*k**2/9 + 184*k/3 + 160 = 0.
-20, -6, -1, 1
Solve -2*d**2/3 - 658*d/3 + 888 = 0.
-333, 4
Factor -7*v**3/3 - 1174*v**2/3 + 112*v.
-v*(v + 168)*(7*v - 2)/3
Find a such that 2*a**4 - 116*a**3 - 744*a**2 - 1520*a - 1024 = 0.
-2, 64
Let -2*h**4 + 18*h**3 - 38*h**2 - 18*h + 40 = 0. What is h?
-1, 1, 4, 5
Factor p**4 - 6*p**3 - 47*p**2 - 84*p - 44.
(p - 11)*(p + 1)*(p + 2)**2
Factor d**3/4 - 5*d**2/2 - 3*d/4 + 27.
(d - 9)*(d - 4)*(d + 3)/4
Solve -z**5 - 7*z**4 - 11*z**3 - 5*z**2 = 0 for z.
-5, -1, 0
Find u, given that -5*u**5 + 95*u**4 - 595*u**3 + 1225*u**2 = 0.
0, 5, 7
Factor -2*f**2/7 + 42*f - 292/7.
-2*(f - 146)*(f - 1)/7
Solve r**2/3 + 263*r - 1582/3 = 0 for r.
-791, 2
Suppose -3*c**3/2 - 72*c**2 + 297*c/2 - 75 = 0. Calculate c.
-50, 1
Let -2*p**2 - 180*p + 558 = 0. Calculate p.
-93, 3
Factor 3*l**2/2 - 765*l/2 + 381.
3*(l - 254)*(l - 1)/2
Solve 169*r**5/8 + 455*r**4/8 - 19*r**3 - 83*r**2 + 26*r - 2 = 0 for r.
-2, 2/13, 1
Suppose -4*g**3 - 56*g**2 - 192*g = 0. Calculate g.
-8, -6, 0
Let -3*f**5 + 147*f**4 - 1569*f**3 - 5619*f**2 - 5928*f - 2028 = 0. Calculate f.
-1, 26
Factor q**3/2 + 44*q**2 + 86*q.
q*(q + 2)*(q + 86)/2
Factor o**3/7 - o - 6/7.
(o - 3)*(o + 1)*(o + 2)/7
Factor g**4/11 + 3*g**3/11.
g**3*(g + 3)/11
What is a in 2*a**4 - 6*a**2 - 4*a = 0?
-1, 0, 2
Factor -2*c**3/3 - 10*c**2/3.
-2*c**2*(c + 5)/3
Solve -3*c**5/4 + 3*c**4/2 + 21*c**3/2 + 6*c**2 - 39*c/4 - 15/2 = 0 for c.
-2, -1, 1, 5
Factor 3*k**3 + 9*k**2 + 6*k.
3*k*(k + 1)*(k + 2)
Factor -w**5 - 49*w**4 - 47*w**3 + 49*w**2 + 48*w.
-w*(w - 1)*(w + 1)**2*(w + 48)
Find q such that -4*q**4/5 - 259*q**3/5 + 329*q**2/5 - 66*q/5 = 0.
-66, 0, 1/4, 1
Factor 2*w**4/7 + 18*w**3/7 - 6*w**2 + 22*w/7.
2*w*(w - 1)**2*(w + 11)/7
Factor 4*v**2 + 128*v + 124.
4*(v + 1)*(v + 31)
Solve 2*s**2/9 - 154*s/9 - 52/3 = 0.
-1, 78
Factor -x**4/5 + 2*x**3 - 9*x**2/5.
-x**2*(x - 9)*(x - 1)/5
Solve -n**2 + 1014*n - 1013 = 0.
1, 1013
Solve -4*i**2 + 208*i + 212 = 0 for i.
-1, 53
Factor 2*h**4 - 26*h**3 + 94*h**2 - 70*h.
2*h*(h - 7)*(h - 5)*(h - 1)
Factor -s**3/12 - s**2/2 - 2*s/3.
-s*(s + 2)*(s + 4)/12
What is s in -s**3/2 - s**2 + s/2 + 1 = 0?
-2, -1, 1
Find x, given that 4*x**5 - 24*x**4 + 48*x**3 - 40*x**2 + 12*x = 0.
0, 1, 3
Factor -2*p**4/13 + 32*p**3/13 - 92*p**2/13 - 288*p/13 - 162/13.
-2*(p - 9)**2*(p + 1)**2/13
Suppose -14*v**3 + 2304*v**2/5 + 202*v/5 - 132/5 = 0. What is v?
-2/7, 1/5, 33
Suppose 3*s**4 - 132*s**3 + 1311*s**2 + 3174*s = 0. What is s?
-2, 0, 23
Factor -2*t**3/3 - 4*t**2 + 158*t/3 + 56.
-2*(t - 7)*(t + 1)*(t + 12)/3
Factor -5*p**4 - 60*p**3 - 150*p**2 - 140*p - 45.
-5*(p + 1)**3*(p + 9)
Determine g so that 2*g**3/7 - 642*g**2/7 + 68694*g/7 - 2450086/