pose 2*s**3/7 + 144*s**2/7 - 42*s + 148/7 = 0. Calculate s.
-74, 1
Factor -c**3/3 + 4*c**2 + c/3 - 4.
-(c - 12)*(c - 1)*(c + 1)/3
Factor -3*i**5/4 - 9*i**4/2 + 18*i**3 - 39*i**2/2 + 27*i/4.
-3*i*(i - 1)**3*(i + 9)/4
Solve -2*j**4/7 + 2*j**3 + 226*j**2/7 + 30*j = 0.
-7, -1, 0, 15
Factor 4*s**2 + 376*s - 5088.
4*(s - 12)*(s + 106)
Determine b so that 5*b**3 - 3430*b**2 + 588245*b = 0.
0, 343
Solve 28*h**3 - 1188*h**2 - 1920*h - 704 = 0 for h.
-1, -4/7, 44
Factor q**5/4 + q**4 - 6*q**3 - 81*q**2/2 - 297*q/4 - 81/2.
(q - 6)*(q + 1)*(q + 3)**3/4
Factor b**3/2 - 1423*b**2/2 + 506943*b/2 - 505521/2.
(b - 711)**2*(b - 1)/2
Let -4*n**2 + 440*n - 12100 = 0. Calculate n.
55
Suppose -3*n**3 - 120*n**2 - 639*n - 918 = 0. Calculate n.
-34, -3
Let x**3 + 19*x**2 - 20*x = 0. Calculate x.
-20, 0, 1
Factor z**4/8 - 217*z**3/8 + 857*z**2/8 - 1067*z/8 + 213/4.
(z - 213)*(z - 2)*(z - 1)**2/8
Find m, given that 2*m**3/13 - 4*m**2/13 = 0.
0, 2
Let -a**2 - 13*a + 14 = 0. What is a?
-14, 1
Determine l so that -l**4/6 + 2*l**3/3 + l**2 - 6*l + 9/2 = 0.
-3, 1, 3
Factor -3*z**2/7 - 675*z/7 - 5832/7.
-3*(z + 9)*(z + 216)/7
Find u, given that -u**4/4 - 15*u**3/4 - 55*u**2/4 + 15*u/4 + 14 = 0.
-8, -7, -1, 1
Factor 2*z**2 + 10*z/3 - 4/3.
2*(z + 2)*(3*z - 1)/3
Solve v**4/7 + 6*v**3/7 + 8*v**2/7 - 6*v/7 - 9/7 = 0 for v.
-3, -1, 1
Factor o**2 + 410*o/3 + 272/3.
(o + 136)*(3*o + 2)/3
Factor -5*g**3 + 50*g**2 - 35*g - 90.
-5*(g - 9)*(g - 2)*(g + 1)
Factor -10*t**3 - 494*t**2 + 304*t + 200.
-2*(t - 1)*(t + 50)*(5*t + 2)
Factor -2*f**4/7 - 2*f**3/7 + 2*f**2/7 + 2*f/7.
-2*f*(f - 1)*(f + 1)**2/7
Let -40*q**2/13 + 3286*q/13 - 492/13 = 0. What is q?
3/20, 82
Determine y so that y**4/3 - 7*y**3/3 + 6*y**2 - 20*y/3 + 8/3 = 0.
1, 2
Find o such that -o**3/3 - 7*o**2/3 + 10*o/3 + 16/3 = 0.
-8, -1, 2
Factor -2*p**3/9 + 176*p**2/9 - 632*p/3 + 608.
-2*(p - 76)*(p - 6)**2/9
What is n in 5*n**5 + 140*n**4 + 1060*n**3 + 1600*n**2 = 0?
-16, -10, -2, 0
Let -2*b**3/5 - 112*b**2/5 + 238*b/5 + 348/5 = 0. Calculate b.
-58, -1, 3
Factor 2*o**4/9 - 64*o**3/9 + 178*o**2/9 - 116*o/9.
2*o*(o - 29)*(o - 2)*(o - 1)/9
Determine i so that 3*i**3 - 18*i**2 - 45*i - 24 = 0.
-1, 8
Let 4*r**2 - 80*r + 400 = 0. Calculate r.
10
Factor 63*a**2 + 132*a + 12.
3*(a + 2)*(21*a + 2)
Solve -2*c**5/15 + 2*c**3/5 + 4*c**2/15 = 0.
-1, 0, 2
Factor a**4/4 + a**3/2 - 3*a**2/4 - 2*a - 1.
(a - 2)*(a + 1)**2*(a + 2)/4
Factor -14*t**3 - 170*t**2 - 472*t - 64.
-2*(t + 4)*(t + 8)*(7*t + 1)
Factor l**4/5 + 7*l**3/5 + 3*l**2 + 13*l/5 + 4/5.
(l + 1)**3*(l + 4)/5
Factor -5*p**2 - 1650*p + 3320.
-5*(p - 2)*(p + 332)
Factor -65*g**2 - 31840*g + 4900.
-5*(g + 490)*(13*g - 2)
Factor -5*q**3 + 715*q**2 - 25915*q + 25205.
-5*(q - 71)**2*(q - 1)
Suppose 6*m**3/11 + 78*m**2/11 - 84*m/11 = 0. Calculate m.
-14, 0, 1
Factor -4*n**2/11 - 170*n/11 - 84/11.
-2*(n + 42)*(2*n + 1)/11
Find w, given that 5*w**5 + 180*w**4 + 2445*w**3 + 15350*w**2 + 43500*w + 45000 = 0.
-10, -3
Factor 3*s**2 + 48*s + 45.
3*(s + 1)*(s + 15)
Factor y**3/4 + 291*y**2/2 - 292*y.
y*(y - 2)*(y + 584)/4
Factor 578*l**3/7 + 6222*l**2/7 - 1488*l/7 + 88/7.
2*(l + 11)*(17*l - 2)**2/7
Factor 4*q**3 + 128*q**2 + 124*q.
4*q*(q + 1)*(q + 31)
Factor 2*p**3 - 106*p**2 + 104*p.
2*p*(p - 52)*(p - 1)
Let 10*x**5 + 25*x**4 + 15*x**3 - 5*x**2 - 5*x = 0. What is x?
-1, 0, 1/2
Solve -5*p**2 - 135*p = 0 for p.
-27, 0
Let 2*t**3/5 + 72*t**2/5 - 518*t/5 - 588/5 = 0. What is t?
-42, -1, 7
Factor 3*a**3 - 66*a**2 + 303*a - 240.
3*(a - 16)*(a - 5)*(a - 1)
Let 3*y**5 - 9*y**4 + 11*y**3/3 + 23*y**2/3 - 20*y/3 + 4/3 = 0. What is y?
-1, 1/3, 2/3, 1, 2
Find q, given that 9*q**3/4 - 33*q**2/2 + 69*q/4 + 36 = 0.
-1, 3, 16/3
What is f in 2*f**3/9 - 538*f**2/9 + 2128*f/9 - 2120/9 = 0?
2, 265
Find x such that -4*x**5 + 32*x**4 + 48*x**3 - 88*x**2 - 172*x - 72 = 0.
-1, 2, 9
Factor -35*w**2/2 - w/4.
-w*(70*w + 1)/4
Factor -10*r**2 + 55*r - 45.
-5*(r - 1)*(2*r - 9)
Factor -2*g**5 + 8*g**4 - 10*g**3 + 4*g**2.
-2*g**2*(g - 2)*(g - 1)**2
Factor -c**4/9 + 14*c**3/3 - 41*c**2/9.
-c**2*(c - 41)*(c - 1)/9
Factor -2*i**2/7 + 214*i/7 + 2088/7.
-2*(i - 116)*(i + 9)/7
Factor 2*j**4/17 + 944*j**3/17 - 2844*j**2/17 + 2848*j/17 - 950/17.
2*(j - 1)**3*(j + 475)/17
Factor 100*k**4 - 640*k**3 + 1024*k**2.
4*k**2*(5*k - 16)**2
Let -149415*d**3 + 49775*d**2 + 10*d = 0. Calculate d.
-2/9961, 0, 1/3
Factor -2*m**3/7 - 38*m**2/7 - 174*m/7 - 234/7.
-2*(m + 3)**2*(m + 13)/7
Let -5*k**5 - 30*k**4 - 40*k**3 + 10*k**2 + 45*k + 20 = 0. What is k?
-4, -1, 1
Suppose -3*h**4 - 6*h**3 + 9*h**2 + 24*h + 12 = 0. Calculate h.
-2, -1, 2
Factor -4*r**3/7 + 20*r**2/7 - 4*r + 12/7.
-4*(r - 3)*(r - 1)**2/7
Factor -2*t**5/5 + 4*t**4/5 + 4*t**3/5 - 16*t**2/5 + 14*t/5 - 4/5.
-2*(t - 1)**4*(t + 2)/5
Suppose 5*r**3 + 805*r**2 + 34320*r + 152100 = 0. What is r?
-78, -5
Factor -h**3/5 - 26*h**2/5 - 169*h/5.
-h*(h + 13)**2/5
Factor -5*o**2 + 60*o + 65.
-5*(o - 13)*(o + 1)
Factor -2*k**2/5 + 472*k/5 - 27848/5.
-2*(k - 118)**2/5
Factor -r**3/4 + 29*r**2/4 + 737*r/4 - 765/4.
-(r - 45)*(r - 1)*(r + 17)/4
Factor 40*y**2 - 44*y + 4.
4*(y - 1)*(10*y - 1)
Find u such that u**2/6 + 83*u/6 - 85/3 = 0.
-85, 2
Determine z so that -2*z**2/13 - 88*z/13 - 86/13 = 0.
-43, -1
Factor -8*t**3 - 84*t**2 + 356*t + 432.
-4*(t - 4)*(t + 1)*(2*t + 27)
Solve -o**5/8 + 15*o**4/8 - 7*o**3 - 9*o**2 + 54*o + 54 = 0 for o.
-2, -1, 6
Determine v, given that 108*v**3 - 664*v**2 + 1068*v - 144 = 0.
4/27, 3
Solve 3*z**4 - 364*z**3 + 10151*z**2 + 54558*z + 31752 = 0.
-4, -2/3, 63
What is q in -9*q**4/2 + 57*q**3 + 39*q**2/2 = 0?
-1/3, 0, 13
Find p such that p**3 - 2104*p**2 - 2105*p = 0.
-1, 0, 2105
Suppose -2*g**5/3 + 6*g**4 - 52*g**3/3 + 68*g**2/3 - 14*g + 10/3 = 0. What is g?
1, 5
Let -3*j**2 - 161*j - 106 = 0. What is j?
-53, -2/3
Suppose -2*m**3/9 - 22*m**2/9 + 80*m/9 - 56/9 = 0. Calculate m.
-14, 1, 2
Find y such that -2901*y**2 + 6*y = 0.
0, 2/967
Solve g**5/3 + g**4 + 2*g**3/3 = 0.
-2, -1, 0
Factor 4*o**5 - 64*o**3 + 152*o**2 - 132*o + 40.
4*(o - 2)*(o - 1)**3*(o + 5)
Determine m, given that m**4 - 8*m**3 + 14*m**2 + 8*m - 15 = 0.
-1, 1, 3, 5
Determine n, given that 20*n**3 - 1125*n**2 + 15960*n - 3920 = 0.
1/4, 28
Factor -3*g**3 + 52*g**2 - 179*g + 130.
-(g - 13)*(g - 1)*(3*g - 10)
Solve -5*j**4 + 10*j**3 = 0 for j.
0, 2
Factor -3*v**4 + 12*v**2.
-3*v**2*(v - 2)*(v + 2)
Factor -y**4 + 28*y**3 - 262*y**2 + 924*y - 1089.
-(y - 11)**2*(y - 3)**2
Suppose -2*n**5/3 + 6*n**4 - 50*n**3/3 + 18*n**2 - 20*n/3 = 0. What is n?
0, 1, 2, 5
Factor -3*s**4/5 + 9*s**3/5 + 6*s**2 - 72*s/5.
-3*s*(s - 4)*(s - 2)*(s + 3)/5
Factor -108*l**4 + 72*l**3 + 33*l**2 + 3*l.
-3*l*(l - 1)*(6*l + 1)**2
Determine m so that 2*m**3 + 34*m**2 - 368*m + 800 = 0.
-25, 4
Solve 14*g**3/3 + 38*g**2/3 + 16*g/3 - 8/3 = 0.
-2, -1, 2/7
Solve -1687500*l**3 - 33750*l**2 - 225*l - 1/2 = 0.
-1/150
Suppose b**2/5 - 12*b/5 - 28/5 = 0. Calculate b.
-2, 14
Factor -4*w**2 + 242*w/3 - 40/3.
-2*(w - 20)*(6*w - 1)/3
Factor 2*l**2/5 + 36*l + 720.
2*(l + 30)*(l + 60)/5
Determine i so that 3*i**3 + 99*i**2 + 945*i + 2025 = 0.
-15, -3
Factor -x**4 + x**3/4 + x**2 - x/4.
-x*(x - 1)*(x + 1)*(4*x - 1)/4
Factor 4*f**5 + 120*f**4 + 1200*f**3 + 4640*f**2 + 7680*f + 4608.
4*(f + 2)**3*(f + 12)**2
Factor 2*a**3/9 + 16*a**2/9 + 8*a/9 - 32/3.
2*(a - 2)*(a + 4)*(a + 6)/9
Solve 4*l**2 - 96*l = 0 for l.
0, 24
Find n, given that 8*n**3/15 + 2*n**2/3 - 4*n/5 = 0.
-2, 0, 3/4
Find o such that 4*o**4 - 416*o**3 - 3140*o**2 + 3552*o = 0.
-8, 0, 1, 111
Let 6*o**4/7 + 22*o**3/7 + 24*o**2/7 + 8*o/7 = 0. What is o?
-2, -1, -2/3, 0
Factor 3*o**3 + 213*o**2 - 660*o + 444.
3*(o - 2)*(o - 1)*(o + 74)
What is x in 2*x**5 + 30*x**4 - 70*x**3 - 30*x**2 + 68*x = 0?
-17, -1, 0, 1, 2
Factor -27*c**3 - 48*c**2.
-3*c**2*(9*c + 16)
Factor -3*u**4/2 + 9*u**3 - 39*u**2/2 + 18*u - 6.
-3*(u - 2)**2*(u - 1)**2/2
Factor 5*h**2 - 53220*h + 141618420.
5*(h - 5322)**2
Find k, given that -50*k**3/11 - 3690*k**2/11 - 2928*k/11 - 584/11 = 0.
-73, -2/5
Let 28*w**2 + 85*w/3 + 1/3 = 0. Calculate w.
-1, -1/84
Factor -3*p**2 - 17*p/3 + 10.
-(p + 3)*(9*p - 10)/3
Suppose -2*j**3/11 - 2*j**2 + 290*j/11 - 266/11 = 0. What is j?
-19, 1, 7
Suppose 5*h**3 - 195*h**2 + 375*h - 185 = 0. Calculate h.
1, 37
Let 4*k**4 + 148*k**3 - 12*k**2 - 452*k - 296 = 0. Calculate k.
-37, -1, 2
Determine b so that -2*b**