2*p.
-4*p*(p - 423)*(p - 1)
Solve 2*b**4 + 1564*b**3 - 1568*b**2 - 1564*b + 1566 = 0 for b.
-783, -1, 1
Determine q, given that 2*q**2/19 + 1966*q/19 = 0.
-983, 0
Factor 2*q**3 - 140*q**2 + 658*q - 520.
2*(q - 65)*(q - 4)*(q - 1)
Factor -36*a**4 + 60*a**3 - 13*a**2 - 10*a - 1.
-(a - 1)**2*(6*a + 1)**2
Determine c so that -4*c**5/7 + 2*c**4/7 + 30*c**3/7 - 38*c**2/7 - 2*c/7 + 12/7 = 0.
-3, -1/2, 1, 2
Factor -2*z**4/15 - 34*z**3/15 - 32*z**2/15.
-2*z**2*(z + 1)*(z + 16)/15
Let b**4/4 - 44*b**3 + 2326*b**2 - 34320*b + 152100 = 0. Calculate b.
10, 78
Factor -3*n**4/2 - 3*n**3/2 + 36*n**2 - 54*n.
-3*n*(n - 3)*(n - 2)*(n + 6)/2
Factor h**4/6 - 3*h**3/2 + 5*h**2/2 - 7*h/6.
h*(h - 7)*(h - 1)**2/6
Determine v so that 3*v**5 + 18*v**4 + 33*v**3 + 6*v**2 - 36*v - 24 = 0.
-2, -1, 1
Suppose -2*x**2 - 212*x - 1200 = 0. Calculate x.
-100, -6
Solve -5*i**4/2 + 585*i**3/2 + 900*i**2 = 0 for i.
-3, 0, 120
Solve 68*g**4 - 2*g**3 - 204*g**2 - 130*g + 4 = 0 for g.
-1, 1/34, 2
Find n such that 3*n**5 + 306*n**4/7 - 9*n**3/7 - 8034*n**2/7 + 16020*n/7 - 5400/7 = 0.
-10, 3/7, 2, 3
Suppose 2*h**5 - 18*h**4 - 6*h**3 + 58*h**2 - 36*h = 0. What is h?
-2, 0, 1, 9
Suppose -4*b**2 - 21696*b - 29419776 = 0. What is b?
-2712
Solve -5*c**5 - 30*c**4 - 55*c**3 - 30*c**2 = 0 for c.
-3, -2, -1, 0
Factor l**2 + 227*l + 226.
(l + 1)*(l + 226)
Solve -6*g**4/7 - 3*g**3/7 + 3*g**2/7 = 0.
-1, 0, 1/2
Determine z so that -2*z**2 + 256*z - 8192 = 0.
64
Suppose -4*j**2 - 64*j - 112 = 0. Calculate j.
-14, -2
Find z such that -2*z**3/7 + 32*z**2/7 - 82*z/7 - 44 = 0.
-2, 7, 11
Factor 3*c**2/4 - 171*c/2 + 339/4.
3*(c - 113)*(c - 1)/4
Factor -k**4/9 + 5*k**3/9 + 22*k**2/9 + 16*k/9.
-k*(k - 8)*(k + 1)*(k + 2)/9
Determine o, given that -3*o**2/2 - 2409*o/2 + 3627 = 0.
-806, 3
Factor -4*t**3/5 - 228*t**2/5 + 468*t/5 - 236/5.
-4*(t - 1)**2*(t + 59)/5
Factor 39*n**2/2 - 81*n/4 + 3/4.
3*(n - 1)*(26*n - 1)/4
Factor -5*c**3 + 15*c**2 + 125*c + 105.
-5*(c - 7)*(c + 1)*(c + 3)
What is j in -j**3/4 + j**2/2 = 0?
0, 2
Factor -4*s**5 - 36*s**4 - 84*s**3 - 76*s**2 - 24*s.
-4*s*(s + 1)**3*(s + 6)
Suppose -3*n**5/5 + 69*n**3/5 + 198*n**2/5 + 204*n/5 + 72/5 = 0. What is n?
-2, -1, 6
Determine g, given that g**2 + 41*g + 40 = 0.
-40, -1
Let -4*c**2 - 12*c + 72 = 0. What is c?
-6, 3
Determine p, given that -p**2/5 - 3*p/5 = 0.
-3, 0
Suppose 3*p**4/2 - 24*p**3 - 117*p**2/2 + 81*p = 0. What is p?
-3, 0, 1, 18
Let 2*p**2/17 - 792*p/17 + 78408/17 = 0. Calculate p.
198
Let -2*o**3 - 12*o**2 + 134*o - 120 = 0. Calculate o.
-12, 1, 5
Factor -v**5/9 + v**4 - 26*v**3/9 + 2*v**2 + 3*v - 3.
-(v - 3)**3*(v - 1)*(v + 1)/9
Find j, given that -30*j**4 - 64*j**3 - 38*j**2 - 4*j = 0.
-1, -2/15, 0
Let -44*j**2/3 - 886*j/3 - 40 = 0. Calculate j.
-20, -3/22
Solve 3*t**3 - 33*t**2 - 1248*t + 16128 = 0.
-21, 16
Factor -x**2/4 + 3*x/4 + 65/2.
-(x - 13)*(x + 10)/4
Factor 2*h**4/3 + 91*h**3/6 + 217*h**2/6 - 10*h.
h*(h + 3)*(h + 20)*(4*h - 1)/6
Suppose u**4/10 - 7*u**3/5 + 26*u**2/5 + 12*u/5 - 144/5 = 0. What is u?
-2, 4, 6
Factor -3*p**3 + 8*p**2 - 7*p + 2.
-(p - 1)**2*(3*p - 2)
Solve -18*i**4/7 - 570*i**3/7 + 208*i**2/7 + 72*i - 256/7 = 0 for i.
-32, -1, 2/3
Factor -9*n**2 + 8*n + 1.
-(n - 1)*(9*n + 1)
Find k such that k**5/8 - 11*k**4/4 + 37*k**3/8 + 8*k**2 - 19*k/2 - 10 = 0.
-1, 2, 20
Let 2*t**5/7 - 10*t**4/7 - 4*t**3 - 4*t**2/7 + 26*t/7 + 2 = 0. Calculate t.
-1, 1, 7
Find r, given that r**2 + 50*r + 369 = 0.
-41, -9
Determine d so that 9*d**4/4 + 43*d**3/4 - 19*d**2/4 - 43*d/4 + 5/2 = 0.
-5, -1, 2/9, 1
Factor a**5 + 3*a**4 - 14*a**3 - 12*a**2 + 40*a.
a*(a - 2)**2*(a + 2)*(a + 5)
Factor -p**3/4 + 63*p**2/4 - 91*p/2 + 30.
-(p - 60)*(p - 2)*(p - 1)/4
Factor 3*a**4/4 + 15*a**3/4 - 99*a**2/4 - 135*a/4 + 162.
3*(a - 3)**2*(a + 3)*(a + 8)/4
Find i such that -2*i**5/13 + 6*i**4/13 - 8*i**2/13 = 0.
-1, 0, 2
Factor 2*i**3/15 + 32*i**2/5 + 512*i/5 + 8192/15.
2*(i + 16)**3/15
Find j, given that 2*j**4/5 - 14*j**3/5 + 18*j**2/5 + 14*j/5 - 4 = 0.
-1, 1, 2, 5
Solve -n**2 - 50*n = 0.
-50, 0
Solve -3*n**2/2 + 4821*n/2 = 0 for n.
0, 1607
Let 3*z**2/4 + 795*z/4 + 789/2 = 0. Calculate z.
-263, -2
Factor -2*a**3 - 82*a**2 - 880*a - 800.
-2*(a + 1)*(a + 20)**2
What is d in d**2 + 586*d + 85849 = 0?
-293
What is c in -3*c**3 - 951*c**2 - 75840*c - 74892 = 0?
-158, -1
What is y in 2*y**3 - 22*y**2 - 28*y + 48 = 0?
-2, 1, 12
Determine t, given that -3*t**4/5 - 12*t**3 + 1098*t**2/5 + 2364*t/5 + 1209/5 = 0.
-31, -1, 13
Factor 9*q**2 - 111*q - 120.
3*(q + 1)*(3*q - 40)
Factor 4*b**3/5 - 114*b**2/5 - 306*b/5 - 124/5.
2*(b - 31)*(b + 2)*(2*b + 1)/5
Determine m, given that m**3/5 - 2*m**2/5 - m/5 + 2/5 = 0.
-1, 1, 2
Factor -p**5 + 2*p**4 + 7*p**3 + 4*p**2.
-p**2*(p - 4)*(p + 1)**2
Let 4*c**3/3 + 820*c**2/3 + 1624*c/3 = 0. Calculate c.
-203, -2, 0
Factor z**2 + 111*z.
z*(z + 111)
Suppose 3*c**4 - 15*c**3 - 30*c**2 + 60*c + 72 = 0. Calculate c.
-2, -1, 2, 6
Suppose -q**4/2 + 5*q**3/2 + 41*q**2/2 - 45*q/2 = 0. What is q?
-5, 0, 1, 9
Let 2*w**5/9 - 22*w**4/9 - 8*w**3/9 + 88*w**2/9 = 0. Calculate w.
-2, 0, 2, 11
Factor -2*d**3 - 16*d**2 - 38*d - 24.
-2*(d + 1)*(d + 3)*(d + 4)
Determine w so that -w**2/5 + 2*w/5 = 0.
0, 2
Factor -5*l**2 - 460*l + 465.
-5*(l - 1)*(l + 93)
Factor -2*x**3/3 - 118*x**2/3 - 560*x + 600.
-2*(x - 1)*(x + 30)**2/3
Determine o so that -2*o**3 - 48*o**2 + 162*o = 0.
-27, 0, 3
Determine u so that -u**5 + 6*u**4 + 8*u**3 - 6*u**2 - 7*u = 0.
-1, 0, 1, 7
Determine s so that 2*s**3 - 788*s**2 = 0.
0, 394
Factor -2*f**2/3 - 1018*f/9 - 676/9.
-2*(f + 169)*(3*f + 2)/9
Suppose -2*z**4/11 - 26*z**3/11 - 10*z**2 - 150*z/11 = 0. What is z?
-5, -3, 0
Suppose -2*p**5 - 24*p**4 - 10*p**3 + 132*p**2 = 0. Calculate p.
-11, -3, 0, 2
Factor 2*f**4/5 + 28*f**3/5 + 128*f**2/5 + 228*f/5 + 126/5.
2*(f + 1)*(f + 3)**2*(f + 7)/5
Determine p so that 2*p**2/7 + 584*p/7 + 582/7 = 0.
-291, -1
Determine j, given that 52*j**5/7 - 34*j**4/7 - 174*j**3/7 + 206*j**2/7 - 2*j - 36/7 = 0.
-2, -9/26, 1
Determine w, given that 3*w**5 + 4212*w**4 + 1482618*w**3 + 2952612*w**2 + 1474203*w = 0.
-701, -1, 0
Factor s**2 - 2486*s + 1545049.
(s - 1243)**2
Solve -i**2/6 + 10*i/3 = 0 for i.
0, 20
Solve 3*j**2/4 - 159*j/4 = 0.
0, 53
Factor -3*x**5 + 12*x**4 - 12*x**3 - 6*x**2 + 15*x - 6.
-3*(x - 2)*(x - 1)**3*(x + 1)
Let -9*j**4/2 + 15*j**3/2 + 39*j**2/2 - 3*j/2 - 9 = 0. What is j?
-1, 2/3, 3
Find j such that 2*j**3/9 + 352*j**2/9 + 5278*j/3 + 3364 = 0.
-87, -2
Let 32*d**5/15 - 368*d**4/3 + 278*d**3/5 + 4412*d**2/15 + 1934*d/15 + 76/5 = 0. Calculate d.
-1, -1/4, 2, 57
Factor 3*o**2 + 51*o + 198.
3*(o + 6)*(o + 11)
Suppose -2*u**4/13 + 4*u**3/13 + 22*u**2/13 - 24*u/13 - 72/13 = 0. Calculate u.
-2, 3
Factor 5*v**4 - 7310*v**3 + 2686385*v**2 - 10657980*v + 10628820.
5*(v - 729)**2*(v - 2)**2
Find n, given that -43*n**2/2 + 127*n/2 + 3 = 0.
-2/43, 3
Factor -3*r**3/2 + 1047*r**2 + 3*r/2 - 1047.
-3*(r - 698)*(r - 1)*(r + 1)/2
Factor 4*o**3 - 40*o**2 - 96*o.
4*o*(o - 12)*(o + 2)
Factor -8*a**3/11 - 930*a**2/11 - 232*a/11.
-2*a*(a + 116)*(4*a + 1)/11
Find r such that 4*r**5 + 13*r**4 - r**3 - 13*r**2 - 3*r = 0.
-3, -1, -1/4, 0, 1
Suppose -2*q**2 - 9*q/2 - 1 = 0. What is q?
-2, -1/4
Factor -13*r**2 + 664*r + 624.
-(r - 52)*(13*r + 12)
Determine z so that -85*z**4/4 + 175*z**3/2 - 10*z**2 = 0.
0, 2/17, 4
Factor -5*t**2 + 60*t - 100.
-5*(t - 10)*(t - 2)
Find m such that 3*m**2/7 + 18*m + 189 = 0.
-21
Factor -f**2/8 - 2207*f/4 - 4870849/8.
-(f + 2207)**2/8
Factor r**2/4 + 115*r/2 + 229/4.
(r + 1)*(r + 229)/4
Suppose -4*a**5 - 148*a**4 - 124*a**3 + 708*a**2 - 432*a = 0. What is a?
-36, -3, 0, 1
Factor 34445*a**2 - 1660*a + 20.
5*(83*a - 2)**2
Determine j so that 5*j**3 - 2515*j**2 - 5045*j - 2525 = 0.
-1, 505
Suppose h**4 + 297*h**3 + 292*h**2 - 1188*h - 1184 = 0. What is h?
-296, -2, -1, 2
Solve -4*w**3/3 - 85*w**2/6 - 109*w/3 - 35/2 = 0 for w.
-7, -3, -5/8
Factor 5*p**4 - 60*p**3 + 185*p**2 + 150*p - 1000.
5*(p - 5)**2*(p - 4)*(p + 2)
Factor 2*v**4 - 16*v**3 + 42*v**2 - 36*v.
2*v*(v - 3)**2*(v - 2)
Factor -o**2 + 278*o - 19321.
-(o - 139)**2
Factor 3*k**3/7 + 6*k**2/7.
3*k**2*(k + 2)/7
Suppose 3*x**2/4 - 93*x/4 + 45/2 = 0. Calculate x.
1, 30
What is h in h**5/5 + 11*h**4/5 - 6*h**3 - 10*h**2 + 29*h/5 + 39/5 = 0?
-13, -1, 1, 3
Solve 2*x**5 + 624*x**4 + 610*x**3 - 3740*x**2 - 2472*x + 4976 = 0.
-311, -