)**2*(f + 6)
Find q such that -2*q**2/11 - 28*q/11 + 64/11 = 0.
-16, 2
Find x, given that -3*x**4/5 + 2*x**3/5 + 148*x**2/5 - 98*x/5 - 49/5 = 0.
-7, -1/3, 1, 7
Factor -t**2/7 - 9*t/7 + 16.
-(t - 7)*(t + 16)/7
Suppose -98*z**4 - 8288*z**3 - 177584*z**2 - 99456*z - 14112 = 0. What is z?
-42, -2/7
Let 45*n**4 + 12955*n**3/2 + 310680*n**2 + 4959360*n - 276480 = 0. What is n?
-48, 1/18
Determine m, given that -4*m**3 - 128*m**2 + 304*m + 1088 = 0.
-34, -2, 4
Find c, given that -c**4/7 + 31*c**3/7 - 36*c**2 + 668*c/7 - 80 = 0.
2, 7, 20
Find y, given that 2*y**4/9 - 220*y**3/9 + 952*y**2 - 134096*y/9 + 628864/9 = 0.
8, 34
Factor 3*z**5 - 30*z**4 - 141*z**3 + 1080*z**2 + 3888*z.
3*z*(z - 9)**2*(z + 4)**2
Find t, given that -59*t**2 + 771*t - 52 = 0.
4/59, 13
Let 5*d**4/4 - 5*d**3/2 - 5*d**2 + 5*d/2 + 15/4 = 0. Calculate d.
-1, 1, 3
Factor -h**2 - 42*h - 117.
-(h + 3)*(h + 39)
Factor 10*r**4 + 25*r**3 - 30*r**2 - 100*r - 40.
5*(r - 2)*(r + 2)**2*(2*r + 1)
Suppose y**3/3 - 21*y**2 + 320*y + 1024/3 = 0. What is y?
-1, 32
Find q, given that -q**3/2 + 27*q**2/2 + 50*q - 150 = 0.
-5, 2, 30
Suppose 12*p**3 + 93*p**2 + 168*p - 48 = 0. Calculate p.
-4, 1/4
Let 2*q**3/11 + 40*q**2/11 - 184*q/11 + 192/11 = 0. Calculate q.
-24, 2
Factor 12*j**2 - 1185*j - 297.
3*(j - 99)*(4*j + 1)
Find d, given that d**3/6 + d**2/3 - 10*d/3 + 4 = 0.
-6, 2
Factor -2*u**3/5 + 44*u**2 + 226*u/5 - 444/5.
-2*(u - 111)*(u - 1)*(u + 2)/5
Factor -4*x**2/3 - 80*x/3 - 400/3.
-4*(x + 10)**2/3
Determine t, given that -t**4 + 261*t**3 - 14904*t**2 - 285660*t = 0.
-15, 0, 138
Factor n**3/6 + n**2 - 13*n/6 - 7.
(n - 3)*(n + 2)*(n + 7)/6
Let 3*p**2/2 + 24*p + 42 = 0. Calculate p.
-14, -2
Find d such that -70*d**5 + 416*d**4 + 354*d**3/5 - 1492*d**2/5 + 536*d/5 - 48/5 = 0.
-1, 1/7, 2/5, 6
Factor -z**3/3 - 65*z**2/3 + 364*z/3 + 980/3.
-(z - 7)*(z + 2)*(z + 70)/3
Factor -3*n**4 - 159*n**3 - 2565*n**2 - 7581*n + 82308.
-3*(n - 4)*(n + 19)**3
Factor 2*d**3/3 + 120*d**2 + 358*d/3.
2*d*(d + 1)*(d + 179)/3
Determine z, given that -3*z**2 + 330*z + 1368 = 0.
-4, 114
Determine i, given that -5*i**2 - 95*i + 210 = 0.
-21, 2
Find x such that -3*x**3/2 + 95*x**2/2 - 61*x/2 - 31/2 = 0.
-1/3, 1, 31
Find l, given that -2*l**3/9 + 14*l**2/3 - 16*l + 136/9 = 0.
2, 17
Find s, given that -2*s**5/11 + 14*s**4/11 - 14*s**3/11 - 46*s**2/11 + 16*s/11 + 32/11 = 0.
-1, 1, 4
Factor -2*z**3/9 - 40*z**2/9 + 46*z/9 + 28/3.
-2*(z - 2)*(z + 1)*(z + 21)/9
Solve 5*m**2/2 + 655*m/2 + 10335 = 0.
-78, -53
Factor -m**5/8 + m**4/4 - m**2/4 + m/8.
-m*(m - 1)**3*(m + 1)/8
Determine p so that 48*p**4 + 2184*p**3 - 1101*p**2 + 138*p = 0.
-46, 0, 1/4
Factor -q**2/6 + 452*q/3.
-q*(q - 904)/6
Factor -3*h**3 - 6*h**2 + 237*h - 660.
-3*(h - 5)*(h - 4)*(h + 11)
Factor -4*o**3/7 + 936*o**2/7 - 1856*o/7.
-4*o*(o - 232)*(o - 2)/7
Determine h, given that 2*h**5/11 - 8*h**4/11 - 18*h**3/11 + 32*h**2/11 + 40*h/11 = 0.
-2, -1, 0, 2, 5
Let 4*c**4/3 + 20*c**3/3 + 16*c**2/3 = 0. Calculate c.
-4, -1, 0
Solve -l**4/4 - 13*l**3/4 - 63*l**2/4 - 135*l/4 - 27 = 0.
-4, -3
Factor 4*z**4 - 232*z**3 + 3988*z**2 - 18096*z + 24336.
4*(z - 26)**2*(z - 3)**2
Factor -3*o**3 - 534*o**2 + 3285*o - 4968.
-3*(o - 3)**2*(o + 184)
Factor -5*k**2 - 2540*k - 322580.
-5*(k + 254)**2
Factor -s**3/6 - 113*s**2/3 + 455*s/6 - 38.
-(s - 1)**2*(s + 228)/6
Determine m so that -3*m**4 - 762*m**3/7 - 216*m**2/7 = 0.
-36, -2/7, 0
Factor c**5 - 2*c**4 - 3*c**3 + 4*c**2 + 4*c.
c*(c - 2)**2*(c + 1)**2
Factor -14*o**3 - 1812*o**2 + 7272*o/7 - 1040/7.
-2*(o + 130)*(7*o - 2)**2/7
Factor 4*v**4 - 13*v**3 + 3*v**2 + 16*v - 4.
(v - 2)**2*(v + 1)*(4*v - 1)
Determine v, given that -v**2/9 - 827*v/9 - 550/3 = 0.
-825, -2
What is q in 22*q**2 + 928*q/7 + 24/7 = 0?
-6, -2/77
Factor -i**4/2 + i**3/2 + 2*i**2 - 2*i.
-i*(i - 2)*(i - 1)*(i + 2)/2
Suppose -15*n**4/4 + 936*n**3 - 57270*n**2 - 142128*n - 47628 = 0. Calculate n.
-2, -2/5, 126
Factor 2*n**3/3 - 20*n**2/3 + 46*n/3 - 28/3.
2*(n - 7)*(n - 2)*(n - 1)/3
Factor 2*q**3/7 - 6*q/7 - 4/7.
2*(q - 2)*(q + 1)**2/7
Factor 2*k**5/3 - 322*k**4/3 - 650*k**3/3 - 326*k**2/3.
2*k**2*(k - 163)*(k + 1)**2/3
Find l such that 2*l**3/13 - 1954*l**2/13 + 476286*l/13 + 478242/13 = 0.
-1, 489
Factor 5*u**2 + 980*u - 9225.
5*(u - 9)*(u + 205)
Factor 4*w**2 + 96*w - 2560.
4*(w - 16)*(w + 40)
Determine p so that -33*p**5 + 204*p**4 - 465*p**3 + 474*p**2 - 204*p + 24 = 0.
2/11, 1, 2
Suppose 405*s**5 - 8406*s**4 - 54296*s**3/5 - 24944*s**2/5 - 4912*s/5 - 352/5 = 0. Calculate s.
-2/5, -2/9, 22
Let -4*q**2 + 48*q = 0. What is q?
0, 12
Factor -18*m**2/25 - 194*m/25 + 44/25.
-2*(m + 11)*(9*m - 2)/25
Factor 5*m**5 - 75*m**4 - 360*m**3 - 380*m**2.
5*m**2*(m - 19)*(m + 2)**2
Solve s**4 + 4*s**3 - s**2 - 16*s - 12 = 0 for s.
-3, -2, -1, 2
Factor -4*t**2 - 1200*t - 9344.
-4*(t + 8)*(t + 292)
Factor -4*m**2/3 - 268*m.
-4*m*(m + 201)/3
Factor -4*j**4/7 - 744*j**3/7 - 46128*j**2/7 - 953312*j/7.
-4*j*(j + 62)**3/7
Factor 2*h**2/11 - 80*h/11 - 168/11.
2*(h - 42)*(h + 2)/11
Factor -f**3/3 - 560*f**2/9 - 8773*f/3 - 1922.
-(f + 93)**2*(3*f + 2)/9
Find u such that 2*u**2/9 - 8684*u/9 + 9426482/9 = 0.
2171
Solve -4*o**2 - 12592*o - 9909904 = 0 for o.
-1574
Let l**5/9 - l**4/9 - 2*l**3 + 52*l**2/9 - 40*l/9 = 0. What is l?
-5, 0, 2
Let -9*j**4 + 69*j**3 - 21*j**2 - 141*j - 42 = 0. What is j?
-1, -1/3, 2, 7
Factor 4*w**3/3 - 32*w**2/3 + 68*w/3 - 40/3.
4*(w - 5)*(w - 2)*(w - 1)/3
Determine f, given that 2*f**2/7 + 200*f/7 - 202/7 = 0.
-101, 1
Find o, given that -3*o**4/2 + 9*o**3 - 27*o**2/2 = 0.
0, 3
Determine x, given that -5*x**3 + 105*x**2 - 735*x + 1715 = 0.
7
Find s, given that 1587*s**3 + 3726*s**2 + 1152*s + 96 = 0.
-2, -4/23
Suppose -2*i**2 + 166*i + 3876 = 0. Calculate i.
-19, 102
Determine d so that -115*d**5 + 10*d**4 + 2185*d**3 - 3640*d**2 + 300*d = 0.
-5, 0, 2/23, 2, 3
Find s such that s**5/2 + 257*s**4/2 + 759*s**3 + 1511*s**2 + 2513*s/2 + 753/2 = 0.
-251, -3, -1
Factor 4*k**5 - 44*k**4 + 144*k**3 - 64*k**2 - 256*k.
4*k*(k - 4)**3*(k + 1)
Factor l**4/7 - 117*l**3/7 + 114*l**2/7 + 232*l/7.
l*(l - 116)*(l - 2)*(l + 1)/7
Suppose -g**5 - g**4 + g**3 + g**2 = 0. What is g?
-1, 0, 1
Determine r, given that -3*r**2/5 - 13*r + 22/5 = 0.
-22, 1/3
What is s in -3*s**3 + 393*s**2 - 13440*s + 36864 = 0?
3, 64
Determine g, given that g**2/9 - 197*g/9 - 22 = 0.
-1, 198
Factor -5*v**2 + 225*v.
-5*v*(v - 45)
Factor -4*y**4/3 - 596*y**3 - 65700*y**2 + 202500*y.
-4*y*(y - 3)*(y + 225)**2/3
Factor 4*l**2 - 132*l + 248.
4*(l - 31)*(l - 2)
Find d such that d**5 + 25*d**4 + 215*d**3 + 695*d**2 + 360*d - 1296 = 0.
-9, -4, 1
Solve -i**3/3 - 38*i**2/3 - 473*i/3 - 1936/3 = 0.
-16, -11
Solve z**4 + 5*z**3 - 43*z**2 + 67*z - 30 = 0.
-10, 1, 3
Factor 2*i**5 - 32*i**4 + 180*i**3 - 400*i**2 + 250*i.
2*i*(i - 5)**3*(i - 1)
Solve 2*a**3 - 328*a**2 - 1338*a - 1008 = 0.
-3, -1, 168
Determine r, given that 2*r**2/11 - 28*r + 1078 = 0.
77
Factor 4*u**3/5 - 5436*u**2/5 + 368832*u + 369920.
4*(u - 680)**2*(u + 1)/5
Determine l, given that -2*l**5/3 + 8*l**4/3 - 10*l**3/3 + 4*l**2/3 = 0.
0, 1, 2
Factor u**2 + 152*u + 1015.
(u + 7)*(u + 145)
Determine m so that -808*m**5/17 - 210*m**4/17 + 5654*m**3/17 + 6318*m**2/17 + 1274*m/17 + 12/17 = 0.
-2, -1, -1/4, -1/101, 3
Factor 2*t**2/5 - 3812*t/5 + 1816418/5.
2*(t - 953)**2/5
Suppose -20*m**4 + 12*m**3 + 8*m**2 = 0. Calculate m.
-2/5, 0, 1
Find l, given that -2*l**3 + 236*l**2 - 466*l + 232 = 0.
1, 116
Factor -3*v**2/8 - 4311*v/2 - 6194907/2.
-3*(v + 2874)**2/8
Factor i**2/11 - 2*i/11 - 3/11.
(i - 3)*(i + 1)/11
Solve 872*r**2/5 + 876*r/5 + 4/5 = 0 for r.
-1, -1/218
Factor -4*v**3 - 20*v**2 - 32*v - 16.
-4*(v + 1)*(v + 2)**2
Solve -w**3/4 - 337*w**2/4 + w/4 + 337/4 = 0 for w.
-337, -1, 1
What is i in -i**3 - 5*i**2 = 0?
-5, 0
Find w, given that w**2/4 + 107*w/4 - 27 = 0.
-108, 1
Factor 4*n**3 - 40*n**2 - 224*n.
4*n*(n - 14)*(n + 4)
Factor c**3/5 + 348*c**2/5 - 349*c/5.
c*(c - 1)*(c + 349)/5
Find b such that -2*b**5/5 - 54*b**4/5 - 316*b**3/5 - 152*b**2 - 816*b/5 - 64 = 0.
-20, -2, -1
Determine k so that 2*k**3 - 32*k**2 - 72*k = 0.
-2, 0, 18
Solve f**5/3 - 11*f**4/3 + 26*f**3/3 - 16*f**2/3 = 0.
0, 1, 2, 8
What is h in h**5 - 9*h**3 = 0?
-3, 0, 3
Factor -j**5 + 10*j**4 - 24*j**3 + 22*j**2 - 7*j.
-j*(j - 7)*(j - 1)**3
Suppose m**4/3 + 10*m**3/3 + 7*m**2 - 40*m/3 - 100/3 = 0.