1)
Solve -2*i**3/7 + 24*i**2/7 = 0.
0, 12
Determine r so that -r**2/5 - 312*r/5 + 313/5 = 0.
-313, 1
Factor 2*k**3/3 - 29*k**2/6 - 2*k/3 + 29/6.
(k - 1)*(k + 1)*(4*k - 29)/6
Solve -4*a**5 - 32*a**4 - 52*a**3 + 88*a**2 + 128*a - 128 = 0 for a.
-4, -2, 1
Find w, given that -3*w**5 - 21*w**4 + 33*w**3 + 57*w**2 - 114*w + 48 = 0.
-8, -2, 1
Factor 2*x**4/9 - 8*x**3/3 + 70*x**2/9 - 16*x/3.
2*x*(x - 8)*(x - 3)*(x - 1)/9
Solve -7*r**2/5 + 1202*r/5 + 344/5 = 0.
-2/7, 172
Solve 2*s**3/15 - 8*s**2/5 + 24*s/5 - 64/15 = 0 for s.
2, 8
Solve -4*z**3 - 180*z**2 + 568*z - 384 = 0 for z.
-48, 1, 2
Let -2*k**3 + 66*k**2 - 184*k + 120 = 0. What is k?
1, 2, 30
Suppose g**2/5 - 331*g/5 - 332/5 = 0. What is g?
-1, 332
Let -o**5/3 + 28*o**4 - 773*o**3/3 + 2482*o**2/3 - 992*o + 1184/3 = 0. Calculate o.
1, 4, 74
Find v such that 4*v**4 - 4*v**3 - 136*v**2 + 256*v + 384 = 0.
-6, -1, 4
Factor -4*s**3 + 3900*s**2 - 952572*s + 948676.
-4*(s - 487)**2*(s - 1)
Factor -5*b**3 + 625*b**2 - 19840*b + 19220.
-5*(b - 62)**2*(b - 1)
Factor -p**3/3 - p**2/3 + 4*p/3 + 4/3.
-(p - 2)*(p + 1)*(p + 2)/3
Factor 3*i**3 - 489*i**2 + 480*i + 972.
3*(i - 162)*(i - 2)*(i + 1)
Suppose g**4 + 14*g**3 + 60*g**2 + 72*g = 0. What is g?
-6, -2, 0
Solve -6*p**3 + 7311*p**2/2 + 12837*p/2 - 1833 = 0.
-2, 1/4, 611
Factor -y**2/5 - 3*y + 16/5.
-(y - 1)*(y + 16)/5
Factor -3*r**3 + 93*r**2 - 90*r.
-3*r*(r - 30)*(r - 1)
Find u such that -9*u**3 + 57*u**2 - 12*u - 36 = 0.
-2/3, 1, 6
Suppose 2*s**3/5 - 74*s**2/5 + 12*s + 432/5 = 0. Calculate s.
-2, 3, 36
Find f, given that -3*f**4 + 39*f**3/5 + 33*f**2/5 - 39*f/5 - 18/5 = 0.
-1, -2/5, 1, 3
Factor 5*m**4 + 60*m**3 - 4620*m**2 + 39200*m.
5*m*(m - 14)**2*(m + 40)
Factor 21*m**3 + 342*m**2 + 1419*m + 378.
3*(m + 7)*(m + 9)*(7*m + 2)
Factor -3*c**3/7 + 69*c**2 + 486*c/7.
-3*c*(c - 162)*(c + 1)/7
Factor -2*i**2/9 - 4*i/9.
-2*i*(i + 2)/9
Solve 2*h**2/15 - 2/15 = 0.
-1, 1
Solve -2*z**3/11 + 10*z**2/11 - 8*z/11 = 0.
0, 1, 4
Determine r so that -r**4/4 - 6*r**3 - 165*r**2/4 - 131*r/2 - 30 = 0.
-12, -10, -1
Factor -188*b**2/3 - 8*b.
-4*b*(47*b + 6)/3
Solve 5*y**5 - 15*y**4 - 70*y**3 + 60*y**2 + 200*y = 0 for y.
-2, 0, 2, 5
Factor -3*o**4 + 9*o**3 - 3*o**2 - 9*o + 6.
-3*(o - 2)*(o - 1)**2*(o + 1)
Find n such that 4*n**5/7 - 76*n**4/7 + 164*n**3/7 + 508*n**2/7 - 888*n/7 - 1152/7 = 0.
-2, -1, 3, 16
Determine z so that -40*z**4 - 130*z**3 - 25*z**2 + 15*z = 0.
-3, -1/2, 0, 1/4
Determine g so that -9*g**5/2 - 46*g**4 - 155*g**3/2 + 210*g**2 + 302*g + 56 = 0.
-7, -4, -1, -2/9, 2
Determine y, given that y**2/4 - 51*y/2 + 2601/4 = 0.
51
Factor 4*g**3 + 100*g**2 - 4*g - 100.
4*(g - 1)*(g + 1)*(g + 25)
Factor -5*j**3 + 250*j**2 + 5*j - 250.
-5*(j - 50)*(j - 1)*(j + 1)
Factor -5*r**3 - 75*r**2 - 295*r - 225.
-5*(r + 1)*(r + 5)*(r + 9)
Solve -2*a**2/21 + 922*a/3 - 6452/21 = 0 for a.
1, 3226
Suppose 2*x**2/7 + 10*x/7 + 12/7 = 0. What is x?
-3, -2
Factor -3206166*l**3/5 - 22425618*l**2/5 + 122784*l/5 - 168/5.
-6*(l + 7)*(731*l - 2)**2/5
Find g, given that 4*g**4 - 646*g**3/3 - 36*g**2 = 0.
-1/6, 0, 54
Find c such that 3*c**3 - 417*c**2 - 1272*c - 852 = 0.
-2, -1, 142
Suppose 2*u**4/7 - 36*u**3/7 - 122*u**2/7 - 12*u = 0. Calculate u.
-2, -1, 0, 21
Solve 2*z**4/11 - 2*z**3/11 - 6*z**2/11 + 10*z/11 - 4/11 = 0 for z.
-2, 1
Suppose 12*g**4 + 600*g**3 - 9*g**2 - 453*g - 150 = 0. What is g?
-50, -1/2, 1
Suppose -3*t**4 - 132*t**3 + 414*t**2 - 420*t + 141 = 0. What is t?
-47, 1
Suppose -5*c**2 + 185*c + 390 = 0. Calculate c.
-2, 39
Find m, given that m**2/7 + 954*m/7 + 227529/7 = 0.
-477
What is u in 4*u**5 - 44*u**4 - 80*u**3 + 336*u**2 + 576*u = 0?
-2, 0, 3, 12
Determine x, given that -2*x**3/5 + 12*x**2/5 - 18*x/5 = 0.
0, 3
What is c in -16*c**5/3 - 47*c**4/9 + 145*c**3/9 + 79*c**2/3 + 91*c/9 - 2/9 = 0?
-1, 1/48, 2
Factor -s**4/2 + 3*s**3/2 + 2*s**2 - 6*s.
-s*(s - 3)*(s - 2)*(s + 2)/2
Factor a**5 + 50*a**4 + 716*a**3 + 2254*a**2 + 1587*a.
a*(a + 1)*(a + 3)*(a + 23)**2
Find l, given that -5*l**4 + 115*l**3 + 120*l**2 = 0.
-1, 0, 24
Factor u**3 - 221*u**2.
u**2*(u - 221)
Suppose -i**2 + 241*i + 242 = 0. What is i?
-1, 242
Let a**2/5 - 386*a/5 - 1167/5 = 0. What is a?
-3, 389
Factor 2*l**3/7 - 10*l**2/7 + 16*l/7 - 8/7.
2*(l - 2)**2*(l - 1)/7
Factor -44*t**2 - 784*t + 144.
-4*(t + 18)*(11*t - 2)
Factor -2*b**3 + 114*b**2 - 1782*b + 8470.
-2*(b - 35)*(b - 11)**2
Find r such that -3*r**4/2 + 75*r**3/2 + 333*r**2/2 + 429*r/2 + 87 = 0.
-2, -1, 29
Find l, given that 20*l**4/9 - 4*l**3 - 8*l**2/9 = 0.
-1/5, 0, 2
What is u in -3*u**3 - 102*u**2 - 360*u = 0?
-30, -4, 0
Let 5*i**2/3 + 8309*i + 9970/3 = 0. Calculate i.
-4985, -2/5
Determine n, given that n**4/6 + 58*n**3 + 15482*n**2/3 + 19952*n + 59168/3 = 0.
-172, -2
Let 5*z**4 - 5*z**3 - 85*z**2 + 105*z + 180 = 0. Calculate z.
-4, -1, 3
Let -3*c**3/4 + 9*c**2/2 + 3*c - 18 = 0. What is c?
-2, 2, 6
Factor 4*f**5.
4*f**5
Let u**4/3 - u**3/3 - 2*u**2 + 4*u/3 + 8/3 = 0. Calculate u.
-2, -1, 2
Factor 4*p**3 + 380*p**2 + 1112*p + 736.
4*(p + 1)*(p + 2)*(p + 92)
Factor -5*g**2 + 3705*g + 3710.
-5*(g - 742)*(g + 1)
Let -2*h**2/3 + 86*h/3 + 88/3 = 0. Calculate h.
-1, 44
Suppose -5*o**3 - 35*o**2 + 25*o + 375 = 0. What is o?
-5, 3
Find o such that -5*o**4 - 585*o**3 - 1725*o**2 - 1715*o - 570 = 0.
-114, -1
Factor -3*a**4 - 24*a**3 - 21*a**2.
-3*a**2*(a + 1)*(a + 7)
What is b in -b**4/2 + 45*b**3/2 + 417*b**2/2 + 371*b/2 = 0?
-7, -1, 0, 53
Factor 97556*v**4/7 - 4117536*v**3/7 + 57929472*v**2/7 - 271669248*v/7.
4*v*(29*v - 408)**3/7
Suppose -2*m**4/7 - 110*m**3/7 - 516*m**2/7 - 808*m/7 - 400/7 = 0. Calculate m.
-50, -2, -1
Solve -4*u**5/3 + 4*u**4/3 + 4*u**3 - 4*u**2/3 - 8*u/3 = 0.
-1, 0, 1, 2
What is l in -2*l**4/7 + 13*l**3/7 - 25*l**2/7 + 8*l/7 + 12/7 = 0?
-1/2, 2, 3
Solve -18*o**4/5 + 4054*o**3/5 - 230724*o**2/5 + 276864*o/5 - 50176/5 = 0 for o.
2/9, 1, 112
Let 5*c**3 - 135*c + 270 = 0. Calculate c.
-6, 3
Factor 3*s**4/5 + 139*s**3/5 + 1633*s**2/5 + 529*s/5.
s*(s + 23)**2*(3*s + 1)/5
Determine n so that -2*n**3/13 - 28*n**2/13 + 42*n/13 + 180/13 = 0.
-15, -2, 3
Factor 5*o**3 - 450*o**2 + 9165*o + 44180.
5*(o - 47)**2*(o + 4)
Solve -3*r**3/5 + 3*r**2/5 + 123*r/5 - 63 = 0.
-7, 3, 5
Suppose 12*m**3 + 64*m**2 - 268*m - 96 = 0. Calculate m.
-8, -1/3, 3
Factor y**2 + 40*y - 41.
(y - 1)*(y + 41)
Suppose -15*f**5 + 111*f**4 - 267*f**3 + 225*f**2 - 54*f = 0. What is f?
0, 2/5, 1, 3
Solve -b**5 - 3*b**4/4 + 5*b**3/4 + 3*b**2/4 - b/4 = 0.
-1, 0, 1/4, 1
Factor 4*h**3 - 192*h**2 - 412*h + 600.
4*(h - 50)*(h - 1)*(h + 3)
Find h such that -5*h**2 + 13030*h = 0.
0, 2606
Factor t**3/4 - 13*t**2/4 - t + 13.
(t - 13)*(t - 2)*(t + 2)/4
Factor 2*c**2/5 + 208*c/5 - 864/5.
2*(c - 4)*(c + 108)/5
Factor -y**2/2 + 11*y/2 - 15.
-(y - 6)*(y - 5)/2
Factor -m**3/6 - 367*m**2/6 - 3595*m/6 - 2975/2.
-(m + 5)**2*(m + 357)/6
Let -4*z**5 + 68*z**4 + 180*z**3 - 548*z**2 + 304*z = 0. What is z?
-4, 0, 1, 19
Let -x**5/6 - x**4/6 + 4*x**3/3 + 4*x**2/3 - 8*x/3 - 8/3 = 0. Calculate x.
-2, -1, 2
Find a, given that -23*a**2/3 + 7*a + 2/3 = 0.
-2/23, 1
Factor -2*v**3/17 + 180*v**2/17 - 3234*v/17 + 968.
-2*(v - 68)*(v - 11)**2/17
Let 4*q**2 - 32*q + 48 = 0. Calculate q.
2, 6
Suppose -5*n**5 + 20*n**4 + 25*n**3 = 0. What is n?
-1, 0, 5
Determine v so that -v**2/2 + 57*v/2 + 29 = 0.
-1, 58
Factor -2*l**2/9 - 4*l - 34/9.
-2*(l + 1)*(l + 17)/9
Find q, given that q**4 - 114*q**3 - 117*q**2 + 230*q = 0.
-2, 0, 1, 115
What is a in -15*a**5 + 25*a**4 + 115*a**3 + 95*a**2 + 20*a = 0?
-1, -1/3, 0, 4
Factor c**2/2 - 59*c/2 - 790.
(c - 79)*(c + 20)/2
Determine l so that l**2 - l - 12 = 0.
-3, 4
Factor 4*z**5 - 200*z**4 - 416*z**3.
4*z**3*(z - 52)*(z + 2)
What is d in -2*d**3/9 + 14*d**2/3 + 308*d/9 + 48 = 0?
-4, -2, 27
Find y such that 1350*y**5 + 5950*y**4 + 8954*y**3 + 5466*y**2 + 1120*y + 8 = 0.
-2, -1, -2/5, -1/135
Determine w so that w**4/2 + 25*w**3/2 + 201*w**2/2 + 639*w/2 + 351 = 0.
-13, -6, -3
Solve 35*i**3 - 655*i**2 + 440*i + 180 = 0.
-2/7, 1, 18
Determine h so that -3*h**4 - 162*h**3 + 1044*h**2 - 2136*h + 1440 = 0.
-60, 2
Factor c**5 + 10*c**4 + 28*c**3 + 24*c**2.
c**2*(c + 2)**2*(c + 6)
Factor k**3/7 + 51*k**2/7 + 668*k/7 + 1140/7.
(k + 2)*(k + 19)*(k + 30)/7
Let 4*t**2/17 - 26*t/17 - 14/17 = 0. Calculate t.
-1/2, 7
Suppose -5*z**5 + 65*z**4 - 225*z**3 - 125*z**2 + 1250*z = 0. Calculate z.
-2, 