tor 25*q**3 + 1345*q**2 + 18744*q + 17424.
(q + 1)*(5*q + 132)**2
Factor -3*y**2 + 69*y - 180.
-3*(y - 20)*(y - 3)
Factor -8*o**2/11 - 46186*o/11 - 11546/11.
-2*(o + 5773)*(4*o + 1)/11
Determine z, given that 15*z**5 - 36*z**4 - 168*z**3 - 138*z**2 + 9*z + 30 = 0.
-1, 2/5, 5
Factor 9*i**2/2 + 285*i - 192.
3*(i + 64)*(3*i - 2)/2
Determine g, given that g**2/2 - 37*g + 1333/2 = 0.
31, 43
Factor -2*s**2/17 + 450/17.
-2*(s - 15)*(s + 15)/17
Solve 5*i**4 + 15*i**3 - 10*i**2 - 60*i - 40 = 0.
-2, -1, 2
Let 4*y**4 - 132*y**3 + 252*y**2 - 124*y = 0. Calculate y.
0, 1, 31
Factor i**4 + 70*i**3 + 684*i**2 + 2090*i + 1475.
(i + 1)*(i + 5)**2*(i + 59)
Factor 3*u**2/7 - 1608*u/7 + 912.
3*(u - 532)*(u - 4)/7
Let 2*y**5/23 + 132*y**4/23 + 688*y**3/23 - 1920*y**2/23 = 0. What is y?
-60, -8, 0, 2
Let 2*b**5 + 92*b**4 + 1432*b**3 + 8848*b**2 + 23040*b + 20736 = 0. What is b?
-18, -4, -2
Determine v so that -2*v**3/9 - 8*v**2/3 - 14*v/3 - 20/9 = 0.
-10, -1
Let 15*n**3 - 1310*n**2 + 28160*n + 19360 = 0. What is n?
-2/3, 44
Factor -x**2/4 - 3516*x - 12362256.
-(x + 7032)**2/4
Find f such that -810*f**5 + 8325*f**4 - 8245*f**3 - 9435*f**2 - 1745*f - 90 = 0.
-1/2, -1/9, 2, 9
Suppose -3*h**3/5 + 36*h**2/5 + 12*h/5 - 144 = 0. What is h?
-4, 6, 10
Let -18*z**5/5 - 6*z**4/5 + 6*z**3 + 6*z**2/5 - 12*z/5 = 0. Calculate z.
-1, 0, 2/3, 1
Determine x, given that -5*x**3 + 3405*x**2 - 581400*x + 578000 = 0.
1, 340
Find y, given that 64*y**3/3 - 160*y**2 + 396*y - 968/3 = 0.
2, 11/4
Solve 2*m**4 - 22*m**3 + 66*m**2 - 74*m + 28 = 0 for m.
1, 2, 7
Find w such that 2*w**2/5 + 136*w/5 - 426/5 = 0.
-71, 3
Let 7*t**5 - 37*t**4 + 59*t**3 - 35*t**2 + 6*t = 0. What is t?
0, 2/7, 1, 3
What is a in -1715*a**3/2 + 29645*a**2/4 + 4445*a + 645 = 0?
-2/7, 129/14
Factor 2*f**2 - 366*f.
2*f*(f - 183)
Determine t, given that -2*t**3/9 - 4*t**2/3 - 2*t/3 + 20/9 = 0.
-5, -2, 1
Factor 4*l**2 + 1900*l - 1904.
4*(l - 1)*(l + 476)
Find y, given that -2*y**2/3 - 28*y/9 + 10/9 = 0.
-5, 1/3
Suppose -o**5/3 + 8*o**4/3 - 16*o**3/3 + 2*o**2/3 + 17*o/3 - 10/3 = 0. What is o?
-1, 1, 2, 5
Factor 35*s**4 - 25*s**3 - 290*s**2 + 340*s + 120.
5*(s - 2)**2*(s + 3)*(7*s + 2)
What is m in m**2/3 - 167*m/3 - 338/3 = 0?
-2, 169
Solve -s**2/3 + 22*s/3 - 7 = 0 for s.
1, 21
Factor -2*w**5/9 - 16*w**4/3 - 40*w**3 - 800*w**2/9.
-2*w**2*(w + 4)*(w + 10)**2/9
What is n in -2*n**5/13 - 4*n**4/13 + 76*n**3/13 + 16*n**2/13 - 202*n/13 - 140/13 = 0?
-7, -1, 2, 5
Factor -b**3/3 + 224*b**2/3 - 1943*b/3 + 1720/3.
-(b - 215)*(b - 8)*(b - 1)/3
Factor -3*f**2/8 + 12*f + 54.
-3*(f - 36)*(f + 4)/8
Determine h, given that -4*h**5/3 - 10*h**4 + 26*h**3/3 + 28*h**2 + 32*h/3 = 0.
-8, -1, -1/2, 0, 2
Factor 5*h**3/4 + 105*h**2/4 - 5*h/4 - 105/4.
5*(h - 1)*(h + 1)*(h + 21)/4
Factor -p**2/6 - 13*p/6 + 7/3.
-(p - 1)*(p + 14)/6
Solve 6*u**2/7 + 5020*u/7 + 3344/7 = 0 for u.
-836, -2/3
What is g in 4*g**3/7 - 12*g/7 - 8/7 = 0?
-1, 2
Suppose -10*x**2 - 195*x - 95 = 0. What is x?
-19, -1/2
Suppose -14*p**4 + 29*p**3 + 338*p**2 - 32*p - 96 = 0. Calculate p.
-4, -1/2, 4/7, 6
Suppose -k**2/6 + 127*k/6 = 0. What is k?
0, 127
Determine m, given that -2*m**2/5 - 4*m + 48/5 = 0.
-12, 2
Find v, given that 5*v**2 - 3065*v - 3070 = 0.
-1, 614
Factor -3*y**2/2 + 21*y/2 - 9.
-3*(y - 6)*(y - 1)/2
Factor 2*b**3 - 9360*b**2 - 18726*b - 9364.
2*(b - 4682)*(b + 1)**2
Suppose -6*c**2 + 33*c/2 - 21/2 = 0. What is c?
1, 7/4
Factor -3*n**2/8 - 39*n/4 - 75/8.
-3*(n + 1)*(n + 25)/8
Find d such that -5*d**3 + 12030*d**2 - 9648060*d + 2579248040 = 0.
802
Factor 2*c**3 + 4*c**2 - 6*c.
2*c*(c - 1)*(c + 3)
Suppose 2*z**4/11 + 18*z**3/11 + 52*z**2/11 + 48*z/11 = 0. Calculate z.
-4, -3, -2, 0
Factor s**4/4 + 7*s**3/4 - 5*s**2/2 - 4*s.
s*(s - 2)*(s + 1)*(s + 8)/4
Factor -3*f**5 - 12*f**4 - 18*f**3 - 12*f**2 - 3*f.
-3*f*(f + 1)**4
Factor 4*j**2/5 + 1092*j/5.
4*j*(j + 273)/5
Determine y, given that 14*y**2/5 - 26988*y/5 - 7712/5 = 0.
-2/7, 1928
Factor y**2/2 + 178*y + 15842.
(y + 178)**2/2
Factor -1458*x**4 + 8532*x**3 - 12482*x**2.
-2*x**2*(27*x - 79)**2
Suppose 2*t**2 + 24*t + 54 = 0. What is t?
-9, -3
Factor m**2 + 113*m + 112.
(m + 1)*(m + 112)
Factor 2*l**3 + 24*l**2 + 18*l - 44.
2*(l - 1)*(l + 2)*(l + 11)
Factor -4*k**3 - 3156*k**2 - 830028*k - 72765788.
-4*(k + 263)**3
Factor -2*t**4/5 - 2*t**3/5 + 8*t**2/5 + 8*t/5.
-2*t*(t - 2)*(t + 1)*(t + 2)/5
Solve 21*k**4/4 + 12*k**3 - 135*k**2/4 + 21*k/2 + 6 = 0.
-4, -2/7, 1
Solve -7*f**5 + 44*f**4 - 75*f**3 + 46*f**2 - 8*f = 0 for f.
0, 2/7, 1, 4
Factor 18*p**3/17 - 82*p**2/17 + 32*p/17 + 32/17.
2*(p - 4)*(p - 1)*(9*p + 4)/17
Solve -o**3 + 6*o**2 - 9*o + 4 = 0.
1, 4
Factor 5*n**5 + 35*n**4 - 15*n**3 - 95*n**2 + 70*n.
5*n*(n - 1)**2*(n + 2)*(n + 7)
Solve 28*c**4/3 - 268*c**3 + 2228*c**2 - 12220*c/3 - 1352 = 0.
-2/7, 3, 13
Factor 5*r**3 - 15*r**2 - 20*r + 60.
5*(r - 3)*(r - 2)*(r + 2)
Factor -2*y**5/5 + 6*y**4 - 30*y**3 + 58*y**2 - 48*y + 72/5.
-2*(y - 6)**2*(y - 1)**3/5
Determine w, given that -w**4/4 + 7*w**3 - 61*w**2 + 168*w - 144 = 0.
2, 12
Factor 5*l**3 - 70*l**2 - 75*l.
5*l*(l - 15)*(l + 1)
Factor -2*l**4/11 + 6*l**2/11 + 4*l/11.
-2*l*(l - 2)*(l + 1)**2/11
Suppose -3*s**4 + 36*s**3 - 21*s**2 - 144*s + 132 = 0. What is s?
-2, 1, 2, 11
Suppose -t**3/3 + 47*t**2/3 - 29*t - 45 = 0. What is t?
-1, 3, 45
Solve -4*y**4 + 444*y**3 - 12540*y**2 + 12100*y = 0.
0, 1, 55
Factor -5*o**5/3 + 5*o**4/3 + 10*o**3/3.
-5*o**3*(o - 2)*(o + 1)/3
Factor 2*j**3/7 + 194*j**2/7 - 808*j/7.
2*j*(j - 4)*(j + 101)/7
Find c such that -2*c**2 - 14940*c - 27900450 = 0.
-3735
Factor -h**3/6 - h**2/6.
-h**2*(h + 1)/6
Solve -3*m**2 + 768*m + 1548 = 0 for m.
-2, 258
Factor 3*p**3/5 - 6*p**2/5 - 9*p/5.
3*p*(p - 3)*(p + 1)/5
Solve g**3 - 36*g**2 - g + 36 = 0.
-1, 1, 36
Factor 4*j**4 - 4*j**3 - 120*j**2.
4*j**2*(j - 6)*(j + 5)
Determine r, given that -2*r**4/7 + 8*r**3/7 + 18*r**2 + 292*r/7 + 176/7 = 0.
-4, -2, -1, 11
Factor 2*z**4 - 1012*z**3 + 1010*z**2.
2*z**2*(z - 505)*(z - 1)
Suppose -w**3/4 - 2175*w**2/4 + w/4 + 2175/4 = 0. What is w?
-2175, -1, 1
Solve 2*v**2/3 + 8*v + 40/3 = 0.
-10, -2
Determine h, given that 5*h**5/2 + 17*h**4/2 - 19*h**3/2 - 25*h**2/2 + 7*h + 4 = 0.
-4, -1, -2/5, 1
Solve 2*i**4/15 - 14*i**3/5 - 2*i**2/15 + 14*i/5 = 0 for i.
-1, 0, 1, 21
Solve k**4 + 122*k**3 - 3*k**2 - 368*k - 244 = 0.
-122, -1, 2
Factor -5*t**2/4 - 5*t + 25/4.
-5*(t - 1)*(t + 5)/4
Determine x so that 5*x**5/3 - 35*x**3/3 - 10*x**2 = 0.
-2, -1, 0, 3
What is j in -3*j**4 + 6*j**3 + 36*j**2 - 24*j - 96 = 0?
-2, 2, 4
Let r**2/3 - 16*r/3 + 16 = 0. What is r?
4, 12
Find t, given that -2*t**4 - 36*t**3 = 0.
-18, 0
Suppose -9*o**5 - 24*o**4 + 24*o**3 + 42*o**2 - 15*o - 18 = 0. Calculate o.
-3, -1, -2/3, 1
Suppose -4*x**5 + 16*x**4 + 12*x**3 - 72*x**2 = 0. What is x?
-2, 0, 3
Solve 3*m**4 + 3*m**3 - 27*m**2 + 33*m - 12 = 0.
-4, 1
Find d, given that 4*d**5 - 156*d**4 - 1228*d**3 - 2708*d**2 - 2376*d - 736 = 0.
-4, -1, 46
Suppose -2*g**3 + 974*g + 1932 = 0. What is g?
-21, -2, 23
Factor -3*i**3 - 453*i**2 + 915*i - 459.
-3*(i - 1)**2*(i + 153)
Let 3*q**5 + 39*q**4 - 93*q**3 - 39*q**2 + 90*q = 0. What is q?
-15, -1, 0, 1, 2
Determine s, given that 4*s**4 + 132*s**3 - 140*s**2 - 132*s + 136 = 0.
-34, -1, 1
Let -8*h**2 + 4*h/3 = 0. What is h?
0, 1/6
Factor 5*d**2 - 1230*d + 75645.
5*(d - 123)**2
Determine r so that 2*r**2/11 + 60*r/11 + 400/11 = 0.
-20, -10
Factor -2*v**2/9 - 14*v/9 - 8/3.
-2*(v + 3)*(v + 4)/9
Factor v**5 + v**4 - 18*v**3 - 18*v**2 + 81*v + 81.
(v - 3)**2*(v + 1)*(v + 3)**2
Find o such that -2*o**4/11 - 12*o**3/11 + 126*o**2/11 - 208*o/11 + 96/11 = 0.
-12, 1, 4
Suppose x**3/2 - 29*x**2/2 + 247*x/2 - 507/2 = 0. What is x?
3, 13
What is r in r**2/3 - 34*r + 101/3 = 0?
1, 101
Find t, given that 10*t**5 - 104*t**4 + 270*t**3 - 232*t**2 + 56*t = 0.
0, 2/5, 1, 2, 7
Find i, given that 4*i**5 + 96*i**4 - 4*i**3 - 96*i**2 = 0.
-24, -1, 0, 1
Solve -5*c**5/7 + 27*c**4/7 - 5*c**3/7 - 27*c**2/7 + 10*c/7 = 0.
-1, 0, 2/5, 1, 5
Determine t, given that -2*t**4/15 - 42*t**3/5 - 882*t**2/5 - 6174*t/5 = 0.
-21, 0
Factor -2*j**2/5 - 12*j/5 + 32/5.
-2*(j - 2)*(j + 8)/5
Find x such that x**2 + 972*x + 236196 = 0.
-486
Find g, given that 2*g**4/7 - 2*g**3 - 44*g**2/7 + 8*g + 144/7 = 0.
-2, 2, 9
Factor 2*q**3/15 + 408*q**2/5 + 12566*q + 74420/3.
2*(q + 2)*(q + 305)**2/15
Find y, given that -y*