)*(d + 7)/5
Determine z, given that 4*z**2 - 8532*z - 8536 = 0.
-1, 2134
Find n, given that -n**2/2 - 6*n - 27/2 = 0.
-9, -3
Determine o, given that o**2/2 - 269*o + 72361/2 = 0.
269
Find t such that 2*t**3/3 - 28*t**2/3 + 82*t/3 + 112/3 = 0.
-1, 7, 8
Factor 5*o**2 + 53000*o + 140450000.
5*(o + 5300)**2
Find q, given that -q**2/4 - 10*q - 51 = 0.
-34, -6
Factor -y**2 + 108*y - 2916.
-(y - 54)**2
Find c, given that -3*c**2 - 471*c - 468 = 0.
-156, -1
Solve -29*f**4/5 + 27*f**3/5 + 118*f**2/5 - 108*f/5 - 8/5 = 0.
-2, -2/29, 1, 2
Find r, given that -16*r**4/3 - 388*r**3/3 - 848*r**2 - 2692*r/3 - 520/3 = 0.
-13, -10, -1, -1/4
Factor l**2/5 + 57*l/5 + 782/5.
(l + 23)*(l + 34)/5
Solve -2*k**2/9 - 914*k/9 - 1820/9 = 0 for k.
-455, -2
Solve 2*f**4/9 - 88*f**3/9 + 406*f**2/9 - 632*f/9 + 104/3 = 0.
1, 2, 39
Solve -4*g**2 + 1060*g - 1056 = 0.
1, 264
Determine k so that -2*k**3 + 6642*k**2 - 7352694*k + 2713144086 = 0.
1107
Determine v so that v**3/4 + 5*v**2/2 - 7*v/4 - 49 = 0.
-7, 4
Factor -x**2/6 - 19*x/6 - 3.
-(x + 1)*(x + 18)/6
Factor 45*x**3/2 - 51*x**2 + 69*x/2 - 6.
3*(x - 1)**2*(15*x - 4)/2
Factor 2*c**2/13 + 452*c/13 + 450/13.
2*(c + 1)*(c + 225)/13
Factor -35*g**3 + 130*g**2 - 100*g - 40.
-5*(g - 2)**2*(7*g + 2)
Factor 3*x**2 + 9*x - 12.
3*(x - 1)*(x + 4)
What is z in -9*z**3 - 60*z**2 + 92*z - 32 = 0?
-8, 2/3
Factor -2*o**5 - 6*o**4 + 36*o**3.
-2*o**3*(o - 3)*(o + 6)
Find o such that -5*o**2 + 130*o = 0.
0, 26
Suppose p**2/3 + 52*p/3 - 53/3 = 0. What is p?
-53, 1
Factor -s**2 + 20*s.
-s*(s - 20)
Let -3*q**3 + 9774*q**2 - 10614564*q + 3842472168 = 0. Calculate q.
1086
Solve 3*q**4 + 21*q**3 - 51*q**2 + 27*q = 0.
-9, 0, 1
Factor 5*i**4 - 35*i**3 - 45*i**2 + 575*i - 500.
5*(i - 5)**2*(i - 1)*(i + 4)
Factor g**2/9 - 269*g/9.
g*(g - 269)/9
Factor 4*c**3 - 4*c**2 - 4*c + 4.
4*(c - 1)**2*(c + 1)
Factor 4*k**3 + 728*k**2 - 4*k - 728.
4*(k - 1)*(k + 1)*(k + 182)
Let 2*j**3/15 + 2*j**2 - 22*j/5 + 34/15 = 0. Calculate j.
-17, 1
Determine o, given that -3*o**3 - 36*o**2 - 96*o = 0.
-8, -4, 0
Factor -2*x**2/11 - 42*x/11 - 40/11.
-2*(x + 1)*(x + 20)/11
Factor -2*b**5/9 - 16*b**4/9 - 44*b**3/9 - 16*b**2/3 - 2*b.
-2*b*(b + 1)**2*(b + 3)**2/9
Factor -5*r**5/2 + 7*r**4/2 - r**3.
-r**3*(r - 1)*(5*r - 2)/2
Determine j, given that -169*j**5 + 1235*j**4 - 368*j**3 + 28*j**2 = 0.
0, 2/13, 7
Solve -2*n**5/5 + 6*n**4/5 + 64*n**3/5 + 24*n**2 + 64*n/5 = 0 for n.
-2, -1, 0, 8
Suppose -343*x**5 + 882*x**4 - 266*x**3 - 232*x**2 - 39*x - 2 = 0. What is x?
-1/7, 1, 2
Let -3*m**4/2 + 15*m**3/2 + 63*m**2/2 - 375*m/2 + 150 = 0. Calculate m.
-5, 1, 4, 5
Solve -y**2/10 + 11*y/5 - 4 = 0.
2, 20
Factor j**3/3 - 1397*j**2/3 + 488600*j/3 - 487204/3.
(j - 698)**2*(j - 1)/3
Factor n**4/6 + 13*n**3/3 + 169*n**2/6.
n**2*(n + 13)**2/6
Factor -q**3/3 - 29*q**2/3 - 28*q/3.
-q*(q + 1)*(q + 28)/3
Factor -2*r**4/5 + 366*r**3/5 + 2244*r**2/5 + 904*r + 3024/5.
-2*(r - 189)*(r + 2)**3/5
Factor -2*q**3 - 192*q**2 + 792*q - 800.
-2*(q - 2)**2*(q + 100)
Suppose 10*s**3/7 + 344*s**2/7 - 214*s/7 - 20 = 0. Calculate s.
-35, -2/5, 1
Factor -r**2 + 20*r - 19.
-(r - 19)*(r - 1)
Factor -2*f**4/19 - 8*f**3/19 + 4*f**2/19 + 24*f/19 - 18/19.
-2*(f - 1)**2*(f + 3)**2/19
Solve -r**4 - 2*r**3 + 4*r**2 + 8*r = 0.
-2, 0, 2
Factor -2*g**3 + 40*g**2 - 38*g.
-2*g*(g - 19)*(g - 1)
Factor -o**3/2 - 16*o**2 - 30*o.
-o*(o + 2)*(o + 30)/2
Let -2*k**2 - 214*k + 216 = 0. Calculate k.
-108, 1
Solve -2*m**4/7 - 8*m**3/7 + 2*m**2 + 68*m/7 + 48/7 = 0.
-4, -2, -1, 3
Let -25*d**5 - 210*d**4 - 205*d**3 + 300*d**2 + 140*d = 0. Calculate d.
-7, -2, -2/5, 0, 1
Factor 26*a**4 - 100*a**3 - 848*a**2 - 128*a.
2*a*(a - 8)*(a + 4)*(13*a + 2)
Suppose -2*d**5/7 - 16*d**4/7 - 40*d**3/7 - 32*d**2/7 = 0. What is d?
-4, -2, 0
Solve d**3/4 + 5*d**2/4 - 11*d/2 + 4 = 0 for d.
-8, 1, 2
Find n, given that 2*n**3/13 - 8*n**2/13 - 10*n - 264/13 = 0.
-4, -3, 11
Suppose 2*b**2 - 22*b = 0. What is b?
0, 11
Factor -2*f**2/13 - 12*f/13 + 14/13.
-2*(f - 1)*(f + 7)/13
Factor -4*g**2 + 320*g - 6400.
-4*(g - 40)**2
Factor j**3/2 - 13*j**2/2 - 8*j + 14.
(j - 14)*(j - 1)*(j + 2)/2
Factor -2*v**4 - 22*v**3 - 52*v**2 - 32*v.
-2*v*(v + 1)*(v + 2)*(v + 8)
Factor -3*s**3/7 + 17019*s**2/7 - 32182929*s/7 + 20285972913/7.
-3*(s - 1891)**3/7
Solve b**5/5 - 19*b**3/5 + 6*b**2/5 + 72*b/5 = 0.
-4, -2, 0, 3
Suppose -3*g**2 - 15*g + 108 = 0. Calculate g.
-9, 4
Factor -3*z**2/2 - 24*z + 483/2.
-3*(z - 7)*(z + 23)/2
Let 5*n**5 - 95*n**4 - 10*n**3 + 190*n**2 + 5*n - 95 = 0. What is n?
-1, 1, 19
Solve 9*g**5 + 21*g**4 - 3*g**3 - 21*g**2 - 6*g = 0 for g.
-2, -1, -1/3, 0, 1
Factor -15*a**2 - 5*a.
-5*a*(3*a + 1)
Factor 4*p**4 - 8*p**3 + 4*p**2.
4*p**2*(p - 1)**2
Factor 4*g**3 - 308*g**2 + 5756*g + 6068.
4*(g - 41)*(g - 37)*(g + 1)
Solve -v**3/4 - 13*v**2/2 - 12*v = 0 for v.
-24, -2, 0
Let -21*q**4/5 + 162*q**3/5 + 1623*q**2/5 + 3096*q/5 + 756/5 = 0. What is q?
-3, -2/7, 14
Suppose 5*c**2/4 + 565*c/4 + 555/2 = 0. What is c?
-111, -2
Suppose -4*x**2 + 8088*x - 4088484 = 0. What is x?
1011
Find f such that -13*f**3/5 - 3*f**2/5 + 9*f - 29/5 = 0.
-29/13, 1
Factor 3*r**3 + 33*r**2 - 1815*r + 11979.
3*(r - 11)**2*(r + 33)
Determine o, given that -20*o**4 + 255*o**3 - 315*o**2 - 755*o - 165 = 0.
-1, -1/4, 3, 11
Suppose 50*w**2/3 - 680*w/3 + 2312/3 = 0. What is w?
34/5
Solve 3*f**2/8 - 9*f/4 - 15 = 0.
-4, 10
Let -2*j**3/15 + 36*j**2/5 - 198*j/5 + 288/5 = 0. What is j?
3, 48
Factor 5*f**4/4 + 10*f**3 + 5*f**2/2 - 40*f + 105/4.
5*(f - 1)**2*(f + 3)*(f + 7)/4
Solve 125*w**4 + 75*w**3 - 720*w**2 + 540*w = 0 for w.
-3, 0, 6/5
Factor t**4/6 + t**3 + 5*t**2/6.
t**2*(t + 1)*(t + 5)/6
Solve 2*g**4/13 - 28*g**3/13 + 90*g**2/13 - 8*g + 40/13 = 0 for g.
1, 2, 10
Suppose -3*i**2 - 168*i - 2352 = 0. Calculate i.
-28
Solve 9*p**5/8 - 21*p**4/4 + 51*p**3/8 - 9*p**2/4 = 0.
0, 2/3, 1, 3
Solve 64*c**2/13 - 8*c/13 - 2/13 = 0.
-1/8, 1/4
Determine t, given that 72*t**5 + 105*t**4 + 44*t**3 + 4*t**2 = 0.
-2/3, -1/8, 0
Let 3*z**4/7 + 2640*z**3/7 - 10593*z**2/7 + 13254*z/7 - 5304/7 = 0. Calculate z.
-884, 1, 2
Factor -6*w**2 - 9*w - 3.
-3*(w + 1)*(2*w + 1)
Suppose 3*q**2/8 - 3807*q/4 + 4831083/8 = 0. Calculate q.
1269
Factor -4*x**4 + 20*x**3 - 24*x**2.
-4*x**2*(x - 3)*(x - 2)
Suppose 3*g**3/2 - 39*g/2 + 18 = 0. What is g?
-4, 1, 3
Factor 2*x**2 - 64*x - 66.
2*(x - 33)*(x + 1)
Determine r, given that -2*r**5 - 238*r**4 - 1824*r**3 - 5392*r**2 - 7136*r - 3552 = 0.
-111, -2
Factor -h**4/3 + 10*h**3/3 - 11*h**2 + 44*h/3 - 20/3.
-(h - 5)*(h - 2)**2*(h - 1)/3
Factor -i**3/4 - 415*i**2/2 - 1657*i/4 - 207.
-(i + 1)**2*(i + 828)/4
Factor -3*x**4 - 75*x**3 - 198*x**2 + 12*x + 264.
-3*(x - 1)*(x + 2)**2*(x + 22)
Determine j so that 2*j**2 + 12056*j + 12054 = 0.
-6027, -1
Factor -2*q**4/3 - 10*q**3/9 + 4*q**2/9.
-2*q**2*(q + 2)*(3*q - 1)/9
Let -m**3/2 + 2*m**2 + 15*m/2 - 9 = 0. What is m?
-3, 1, 6
Determine h so that 3*h**2/4 - 93*h/4 - 105 = 0.
-4, 35
Let -g**5/4 + 3*g**4/2 - 9*g**3/4 + g**2 = 0. What is g?
0, 1, 4
Factor 4*z**3 + 188*z**2 + 184*z.
4*z*(z + 1)*(z + 46)
Solve -2*z**2/9 - 20*z/3 - 50 = 0.
-15
Factor f**5/3 + 64*f**4/3 + 1321*f**3/3 + 7810*f**2/3 - 19844*f/3 + 10648/3.
(f - 1)**2*(f + 22)**3/3
Factor -p**4/4 + 15*p**3/4 - 7*p**2/2.
-p**2*(p - 14)*(p - 1)/4
Factor -2*v**2 - 6*v + 36.
-2*(v - 3)*(v + 6)
Factor -4*s**5/5 - 16*s**4/5 + 64*s**2/5 + 64*s/5.
-4*s*(s - 2)*(s + 2)**3/5
Factor 4*c**2 - 44*c + 40.
4*(c - 10)*(c - 1)
Factor 3*g**5 - 6*g**4 - 3*g**3 + 6*g**2.
3*g**2*(g - 2)*(g - 1)*(g + 1)
What is q in 2*q**2/3 + 10*q - 68/3 = 0?
-17, 2
Factor i**2/3 + 22*i/3 - 23/3.
(i - 1)*(i + 23)/3
Solve 16*m**4 + 132*m**3 - 688*m**2 + 396*m + 144 = 0.
-12, -1/4, 1, 3
Factor -3*j**5 + 51*j**4 - 318*j**3 + 870*j**2 - 975*j + 375.
-3*(j - 5)**3*(j - 1)**2
Solve -5*a**3 - 40*a**2 - 100*a - 80 = 0 for a.
-4, -2
What is x in -x**4 - 41*x**3/3 - 95*x**2/3 - 79*x/3 - 22/3 = 0?
-11, -1, -2/3
Find x, given that 2*x**4/3 - 11*x**3/3 + 7*x**2 - 16*x/3 + 4/3 = 0.
1/2, 1, 2
Suppose -3*w**2/5 + 159*w/5 + 66 = 0. Calculate w.
-2, 55
Suppose -r**5/3 - 4*r**4/3 + 8*r**3/3 + 10*r**2/3 - 23*r/3 + 10/3 = 0. What is r?
-5, -2, 1
Let d**3/5 + 2*d**2/5 - 7*d/5 + 4/5 = 0. Calculate d.
-4, 1
Factor 34*a**3 + 8776*a**2 + 566826*a + 66564.
2*(a + 129)**2*(17*a + 2)
Find i such that -2*i**2/19 - 2628*i/19 - 863298/19 = 0.
-657
Factor -3*q**5/2 +