000 = 0 for s.
-150, -7, -1
Factor 3*h**4/2 - 21*h**3 + 39*h**2/2.
3*h**2*(h - 13)*(h - 1)/2
Factor 4*l**2/5 + 84*l/5 + 16.
4*(l + 1)*(l + 20)/5
Factor -4*g**2/9 - 512*g/9 - 508/9.
-4*(g + 1)*(g + 127)/9
Let 2*k**4 - 24*k**2 - 32*k = 0. Calculate k.
-2, 0, 4
What is i in 5*i**3 + 30*i**2 + 25*i = 0?
-5, -1, 0
Factor k**2/3 - 2638*k/3 + 1739761/3.
(k - 1319)**2/3
Determine j, given that 2*j**3/5 + 18*j**2/5 + 8*j + 24/5 = 0.
-6, -2, -1
Factor -a**3/6 - 2*a**2/3 + 19*a/6 - 7/3.
-(a - 2)*(a - 1)*(a + 7)/6
Let 3*t**3 + 111*t**2 - 234*t = 0. Calculate t.
-39, 0, 2
Suppose -4*a**3 - 264*a**2 - 516*a - 256 = 0. What is a?
-64, -1
Solve 2*w**4/7 - 6*w**3/7 - 12*w**2/7 + 16*w/7 = 0 for w.
-2, 0, 1, 4
Factor 2*u**5 - 32*u**4/5 + 34*u**3/5 - 12*u**2/5.
2*u**2*(u - 1)**2*(5*u - 6)/5
Factor 4*t**3/5 - 4*t**2/5 - 16*t/5 + 16/5.
4*(t - 2)*(t - 1)*(t + 2)/5
Factor -3*b**2/8 + 9*b/4 - 15/8.
-3*(b - 5)*(b - 1)/8
Suppose 5*x**4 - 15*x**3 - 45*x**2 - 25*x = 0. Calculate x.
-1, 0, 5
Factor 10*r**2 + 3128*r - 626.
2*(r + 313)*(5*r - 1)
Find v, given that 3*v**5 + 3*v**4 - 30*v**3 - 30*v**2 + 27*v + 27 = 0.
-3, -1, 1, 3
Factor -3*o**2 - 654*o - 1935.
-3*(o + 3)*(o + 215)
Suppose 6*p**2/5 - 246*p + 2436/5 = 0. What is p?
2, 203
Factor -60*m**2 - 16*m + 12.
-4*(3*m - 1)*(5*m + 3)
Factor -6*c**4 - 13*c**3 - 2*c**2.
-c**2*(c + 2)*(6*c + 1)
Factor 4*p**3 - 44*p**2 + 76*p - 36.
4*(p - 9)*(p - 1)**2
What is v in -5*v**4 - 50*v**3 + 195*v**2 = 0?
-13, 0, 3
Find m such that m**4/5 + 18*m**3/5 - 579*m**2/5 + 112*m = 0.
-35, 0, 1, 16
Suppose -9*x**4/7 - 75*x**3/7 - 162*x**2/7 + 96/7 = 0. What is x?
-4, -1, 2/3
Factor -2*h**3 + 14*h**2 - 72.
-2*(h - 6)*(h - 3)*(h + 2)
Suppose a**2/3 - 49*a/3 + 94/3 = 0. What is a?
2, 47
What is m in -2*m**3/19 + 62*m**2/19 - 448*m/19 - 512/19 = 0?
-1, 16
Suppose 16*n**5 + 64*n**4 - 28*n**3 - 172*n**2 + 156*n - 36 = 0. What is n?
-3, 1/2, 1
Determine z so that -z**4/3 + 2*z**3/3 + 32*z**2/3 - 32*z = 0.
-6, 0, 4
Suppose 3*c**5/7 - 4*c**4/7 - c**3 + 4*c**2/7 + 4*c/7 = 0. What is c?
-1, -2/3, 0, 1, 2
Factor 2*k**3/7 - 16*k**2/7 - 90*k/7 - 72/7.
2*(k - 12)*(k + 1)*(k + 3)/7
Factor 4*f**2 + 140*f - 296.
4*(f - 2)*(f + 37)
Factor -g**2/6 - 35*g/3 - 1225/6.
-(g + 35)**2/6
Factor -3*s**2 + 10818*s - 9752427.
-3*(s - 1803)**2
Suppose -j**4/4 - 5*j**3/2 - 25*j**2/4 = 0. Calculate j.
-5, 0
Factor 5*t**5 + 25*t**4 - 60*t**3 - 380*t**2 - 400*t.
5*t*(t - 4)*(t + 2)**2*(t + 5)
Factor -t**3/6 - 178*t**2/3 - 709*t/6 - 59.
-(t + 1)**2*(t + 354)/6
Suppose -5*t**5/2 - 10*t**4 + 195*t**3/2 - 145*t**2 - 70*t + 180 = 0. What is t?
-9, -1, 2
Suppose -4*h**2 + 84*h = 0. Calculate h.
0, 21
Find x, given that -5*x**3 - 55*x**2 + 5*x + 55 = 0.
-11, -1, 1
Solve -3*g**4/2 + 126*g**3 + 258*g**2 = 0.
-2, 0, 86
Factor -5*c**4 + 880*c**3 - 875*c**2.
-5*c**2*(c - 175)*(c - 1)
Factor -4*c**4/9 + 4*c**3/3 + 4*c**2/9 - 4*c/3.
-4*c*(c - 3)*(c - 1)*(c + 1)/9
Find s such that -21*s**4 + 24*s**3 + 36*s**2 = 0.
-6/7, 0, 2
Factor -10952*k**3 - 5698*k**2 - 940*k - 50.
-2*(4*k + 1)*(37*k + 5)**2
Determine x so that -99*x**4 - 744*x**3 - 363*x**2 - 42*x = 0.
-7, -1/3, -2/11, 0
Factor -i**4 - 77*i**3 - 687*i**2 - 1147*i - 536.
-(i + 1)**2*(i + 8)*(i + 67)
Let -14*z**5 - 1004*z**4 - 17856*z**3 + 5184*z**2 = 0. What is z?
-36, 0, 2/7
What is b in -4*b**3 - 24648*b**2 - 50626992*b - 34662613856 = 0?
-2054
Suppose 2*s**4/5 + 6*s**3/5 - 8*s/5 = 0. Calculate s.
-2, 0, 1
Factor -2*o**3 + 106*o**2 - 1680*o + 8352.
-2*(o - 29)*(o - 12)**2
Factor -4*h**3 - 64*h**2 - 208*h - 192.
-4*(h + 2)**2*(h + 12)
Factor -9*j**3 + 20*j**2 - 13*j + 2.
-(j - 1)**2*(9*j - 2)
Factor 2*g**5/3 + 62*g**4/3 + 400*g**3/3 + 736*g**2/3.
2*g**2*(g + 4)**2*(g + 23)/3
What is w in w**5 - w**4 - 7*w**3 + w**2 + 6*w = 0?
-2, -1, 0, 1, 3
Factor -l**2 - 22*l + 203.
-(l - 7)*(l + 29)
Factor -x**4/5 + 11*x**3/5 + 73*x**2/5 + 109*x/5 + 48/5.
-(x - 16)*(x + 1)**2*(x + 3)/5
Let -125*y**4/2 + 6975*y**3 - 24570*y**2 + 29268*y - 11664 = 0. Calculate y.
6/5, 108
Factor 10*b**4 - 25*b**3 - 10*b**2 + 55*b - 30.
5*(b - 2)*(b - 1)**2*(2*b + 3)
Factor k**4/3 + 220*k**3/3 + 12532*k**2/3 + 15840*k + 15552.
(k + 2)**2*(k + 108)**2/3
Factor -2*u**3 - 30*u**2 + 66*u + 1694.
-2*(u - 7)*(u + 11)**2
Suppose 2*y**5/3 + 32*y**4/3 + 152*y**3/3 + 76*y**2 - 30*y - 108 = 0. What is y?
-9, -3, -2, 1
Let -22*u**4/3 + 74*u**3 - 72*u**2 = 0. Calculate u.
0, 12/11, 9
Let 3*a**5/7 - 12*a**4/7 - 24*a**3/7 + 6*a**2 + 3*a - 30/7 = 0. Calculate a.
-2, -1, 1, 5
Find h, given that -27*h**2/5 + 6*h = 0.
0, 10/9
Factor 2*o**3/7 - 86*o**2/7 - 2*o/7 + 86/7.
2*(o - 43)*(o - 1)*(o + 1)/7
Solve -3*d**3/2 - 66*d**2 - 129*d/2 = 0 for d.
-43, -1, 0
Suppose 21*f**5 + 27*f**4 - 36*f**3 - 12*f**2 = 0. What is f?
-2, -2/7, 0, 1
Let 7*p**3/6 + 37*p**2 - 295*p/6 + 11 = 0. Calculate p.
-33, 2/7, 1
Suppose t**3/9 + 11*t**2/9 + t/3 - 15 = 0. Calculate t.
-9, -5, 3
Let -4*n**4 + 204*n**3 + 636*n**2 + 644*n + 216 = 0. Calculate n.
-1, 54
Factor 5*m**4 + 495*m**3 + 2285*m**2 - 6075*m + 3290.
5*(m - 1)**2*(m + 7)*(m + 94)
Let -3*o**2/4 - 219*o/2 - 435/4 = 0. What is o?
-145, -1
Find u, given that -7*u**3/5 - 849*u**2/5 + 612*u/5 + 244/5 = 0.
-122, -2/7, 1
Determine c so that -5*c**4 + 928*c**3 + 377*c**2 - 928*c - 372 = 0.
-1, -2/5, 1, 186
Suppose 84*k**5 + 248*k**4 + 92*k**3 - 216*k**2 - 176*k - 32 = 0. What is k?
-2, -1, -2/3, -2/7, 1
Factor 2*y**2 + 14*y + 12.
2*(y + 1)*(y + 6)
Let -343*a**5/4 - 245*a**4 + 48377*a**3/4 + 20933*a**2/2 + 2999*a + 286 = 0. Calculate a.
-13, -2/7, 11
Let 3*g**3/2 + 15*g**2/2 - 99*g/2 + 81/2 = 0. What is g?
-9, 1, 3
Determine h, given that -h**3/2 + 2*h**2 + 3*h/2 - 9 = 0.
-2, 3
Let h**2/3 - 17*h = 0. What is h?
0, 51
Determine h so that -10*h**5 + 32*h**4 + 16*h**3 - 128*h**2 + 96*h = 0.
-2, 0, 6/5, 2
Solve -5*a**3 - 11962*a**2 - 7156864*a - 2860832 = 0 for a.
-1196, -2/5
Factor 14*y**2/3 - 71*y/3 + 5/3.
(y - 5)*(14*y - 1)/3
Factor -3819848*w**2/9 - 5528*w/9 - 2/9.
-2*(1382*w + 1)**2/9
Factor -5*w**2 + 375*w + 2870.
-5*(w - 82)*(w + 7)
What is l in 3*l**2 - 195*l = 0?
0, 65
Find l, given that 2*l**4/5 + 22*l**3/5 - 152*l**2/5 + 128*l/5 = 0.
-16, 0, 1, 4
Solve -k**5 - 257*k**4/4 - 77*k**3 + 443*k**2/4 + 63*k/2 = 0.
-63, -2, -1/4, 0, 1
Let 3*y**4/5 - 84*y**3/5 - 711*y**2/5 - 888*y/5 + 336 = 0. What is y?
-4, 1, 35
Determine p so that -p**2/6 - p/6 + 2 = 0.
-4, 3
Determine r, given that -r**3/8 + 51*r**2/2 - 1734*r + 39304 = 0.
68
Factor -5*g**3 - 190*g**2 + 395*g - 200.
-5*(g - 1)**2*(g + 40)
Let 8*j**2/3 - 5900*j/3 + 2948/3 = 0. Calculate j.
1/2, 737
Solve -k**2 - 114*k - 3249 = 0.
-57
Factor -2*t**2 - 6716*t + 6718.
-2*(t - 1)*(t + 3359)
Determine b so that 47*b**4 - 613*b**3 + 2282*b**2 - 1788*b + 72 = 0.
2/47, 1, 6
Factor -q**4/7 - 11*q**3/7 - 39*q**2/7 - 45*q/7.
-q*(q + 3)**2*(q + 5)/7
Let 4*x**5 - 2*x**4 - 20*x**3 + 10*x**2 + 16*x - 8 = 0. Calculate x.
-2, -1, 1/2, 1, 2
Find k such that k**5/3 + 77*k**4/3 + 61*k**3/3 - 1117*k**2/3 + 1738*k/3 - 760/3 = 0.
-76, -5, 1, 2
Suppose 2*a**4/5 + 36*a**3/5 - 42*a**2/5 - 76*a/5 = 0. Calculate a.
-19, -1, 0, 2
Determine w, given that 10*w**5/11 + 376*w**4/11 + 3048*w**3/11 - 8860*w**2/11 + 7022*w/11 - 1596/11 = 0.
-21, -19, 2/5, 1
Factor m**2/4 - 7*m/4 + 3/2.
(m - 6)*(m - 1)/4
Factor c**3/4 + 207*c**2/2 + 14283*c + 657018.
(c + 138)**3/4
Factor 3*p**2/4 - 84*p + 165.
3*(p - 110)*(p - 2)/4
Solve 2*c**4 - 12*c**3 + 22*c**2 - 12*c = 0 for c.
0, 1, 2, 3
Let -46*i**3 - 4*i**2 + 46*i + 4 = 0. What is i?
-1, -2/23, 1
Solve w**5/2 + 29*w**4/2 + 55*w**3/2 - 2889*w**2/2 - 2916*w - 1458 = 0 for w.
-18, -1, 9
Factor 5*w**5 - 20*w**3 - 10*w**2 + 15*w + 10.
5*(w - 2)*(w - 1)*(w + 1)**3
Solve 8*v**2 - 184*v + 1058 = 0 for v.
23/2
Let -6*x**4/5 - 214*x**3/5 - 542*x**2/5 - 466*x/5 - 132/5 = 0. What is x?
-33, -1, -2/3
Suppose -5*p**3 - 50*p**2 - 45*p = 0. Calculate p.
-9, -1, 0
Find d, given that -7*d**2/4 - 13*d/2 + 45/4 = 0.
-5, 9/7
Let -6*i**5 - 46*i**4 - 74*i**3 + 30*i**2 = 0. What is i?
-5, -3, 0, 1/3
Let -z**2/5 + 9346*z/5 - 21836929/5 = 0. Calculate z.
4673
Find j such that -5*j**4 + 345*j**3 + 725*j**2 - 1065*j = 0.
-3, 0, 1, 71
Factor 2*q**5 + 6*q**4 - 2*q**3 - 6*q**2.
2*q**2*(q - 1)*(q + 1)*(q + 3)
Determine l so that 4*l**5 + 40*l**4 + 52*l**3 - 112*l**2 - 112*l + 128 = 0.
-8, -2, 1
Let x**5/5 - 4*x**4 + 128*x**3/5 - 256