1, 9, 10
Factor -3*c**4/7 - 24*c**3/7 + 27*c**2/7.
-3*c**2*(c - 1)*(c + 9)/7
Factor 2*k**2 + 44*k + 42.
2*(k + 1)*(k + 21)
Let k**5/3 + 2*k**4/3 + k**3/3 = 0. Calculate k.
-1, 0
Factor 2*n**4/7 + 5*n**3 + 177*n**2/7 + 208*n/7 + 64/7.
(n + 1)*(n + 8)**2*(2*n + 1)/7
Find t such that -t**2/9 - 10384*t/9 - 26956864/9 = 0.
-5192
Find b such that 5*b**5 - 135*b**4 + 665*b**3 + 1755*b**2 + 950*b = 0.
-1, 0, 10, 19
What is z in -2*z**5/7 + 314*z**4/7 - 12478*z**3/7 + 11854*z**2/7 + 12480*z/7 - 12168/7 = 0?
-1, 1, 78
Let -5*r**3 - 720*r**2 - 715*r = 0. What is r?
-143, -1, 0
Let 16*m**4 - 84*m**3 - 76*m**2 + 24*m = 0. Calculate m.
-1, 0, 1/4, 6
Suppose 3*r**3 + 39*r**2 + 153*r + 189 = 0. What is r?
-7, -3
Suppose 19*g**4 - 112*g**3 + 159*g**2 - 58*g - 8 = 0. Calculate g.
-2/19, 1, 4
Let 4*t**3 - 460*t**2 + 1788*t - 1332 = 0. What is t?
1, 3, 111
Factor -2*a**2/9 + 1276*a/9 + 2560/9.
-2*(a - 640)*(a + 2)/9
Let 5*k**5/2 - 63*k**4/2 - 249*k**3 - 533*k**2 - 915*k/2 - 279/2 = 0. What is k?
-3, -1, 93/5
What is z in z**3/3 + 40*z**2/3 + 400*z/3 = 0?
-20, 0
Find g, given that 2*g**5/13 - 318*g**4/13 + 12796*g**3/13 - 12164*g**2/13 - 12798*g/13 + 12482/13 = 0.
-1, 1, 79
Factor -2*r**4 - 50*r**3 + 52*r**2.
-2*r**2*(r - 1)*(r + 26)
Let -3*u**4 + 12*u**3 - 18*u**2 + 12*u - 3 = 0. What is u?
1
Find w, given that -12*w**3 - 351*w**2 - 735*w - 162 = 0.
-27, -2, -1/4
Determine s, given that 2*s**4/3 + 94*s**3/3 + 114*s**2 - 94*s/3 - 344/3 = 0.
-43, -4, -1, 1
Solve b**2 - 362*b + 32761 = 0 for b.
181
Determine z so that -2*z**3/3 - 206*z**2/3 - 1802*z - 1734 = 0.
-51, -1
Suppose 10*m**5 + 154*m**4/3 - 610*m**3/3 + 202*m**2 - 148*m/3 - 32/3 = 0. Calculate m.
-8, -2/15, 1
Solve 10*z**5/3 - 62*z**4/3 - 2*z**3/3 + 430*z**2/3 - 656*z/3 + 280/3 = 0 for z.
-14/5, 1, 2, 5
Factor l**2/4 + 6*l - 108.
(l - 12)*(l + 36)/4
Find b such that 2*b**2/9 - 1250*b/9 - 700 = 0.
-5, 630
Factor -m**2 - 5*m - 4.
-(m + 1)*(m + 4)
What is h in 2*h**4/3 + 76*h**3/3 - 2*h**2 - 224*h/3 + 152/3 = 0?
-38, -2, 1
Factor -5*x**3 + 70*x**2 + 160*x.
-5*x*(x - 16)*(x + 2)
Solve 12*j**5/7 - 28*j**4 + 320*j**3/7 + 976*j**2/7 + 64*j = 0 for j.
-1, -2/3, 0, 4, 14
Factor -s**2/4 + 31*s/4 + 133/2.
-(s - 38)*(s + 7)/4
Solve 2*g**4/5 + 26*g**3/5 + 58*g**2/5 - 266*g/5 - 588/5 = 0 for g.
-7, -2, 3
Factor -2*p**5/13 - 12*p**4/13 + 64*p**2/13.
-2*p**2*(p - 2)*(p + 4)**2/13
Factor -5*u**5 - 1905*u**4 - 178560*u**3 + 552960*u**2.
-5*u**2*(u - 3)*(u + 192)**2
Determine t, given that -4*t**2 + 632*t - 24964 = 0.
79
Factor f**4/3 + 14*f**3/3 - 16*f**2/3 - 14*f/3 + 5.
(f - 1)**2*(f + 1)*(f + 15)/3
Factor 21*p**4 + 153*p**3 - 126*p**2 - 48*p.
3*p*(p - 1)*(p + 8)*(7*p + 2)
Factor n**2/7 - 36*n/7.
n*(n - 36)/7
What is x in -2*x**5 + 50*x**4 - 136*x**3 + 88*x**2 = 0?
0, 1, 2, 22
What is h in 2*h**2/23 - 5618*h/23 + 5616/23 = 0?
1, 2808
Solve x**4/6 + 2*x**3 + 13*x**2/3 - 2*x - 9/2 = 0.
-9, -3, -1, 1
Factor -4*p**3 - 300*p**2 + 1248*p - 1264.
-4*(p - 2)**2*(p + 79)
Let 2*s**2/15 + 8*s/15 + 2/5 = 0. What is s?
-3, -1
Suppose 3*u**4/5 + 29*u**3/5 - 2*u**2 = 0. What is u?
-10, 0, 1/3
Factor r**2 + 21*r + 20.
(r + 1)*(r + 20)
Determine y so that -2*y**2/3 + 6*y + 24 = 0.
-3, 12
Factor 5*w**5 + 10*w**4 - 15*w**3 - 20*w**2 + 20*w.
5*w*(w - 1)**2*(w + 2)**2
Suppose 4608*j**5 + 23744*j**4 + 40882*j**3 + 24567*j**2 + 899*j - 1922 = 0. Calculate j.
-31/16, -1, -1/2, 2/9
Factor 15*q**3/4 + 139*q**2/4 + 9*q.
q*(q + 9)*(15*q + 4)/4
Factor c**3 + 220*c**2 - 443*c + 222.
(c - 1)**2*(c + 222)
Let 4*d**4/5 + 26*d**3/5 - 28*d**2/5 - 46*d + 60 = 0. What is d?
-5, 3/2, 2
Factor 3*c**5 + 6*c**4 - 24*c**3 + 6*c**2 + 21*c - 12.
3*(c - 1)**3*(c + 1)*(c + 4)
Find i such that i**4/5 - 2*i**3/5 - 8*i**2/5 = 0.
-2, 0, 4
Factor 2*h**4/11 - 2*h**3/11.
2*h**3*(h - 1)/11
Factor 4*w**4 - 28*w**3 - 12*w**2 + 76*w + 56.
4*(w - 7)*(w - 2)*(w + 1)**2
Factor 2*h**3 - 60*h**2 + 600*h - 2000.
2*(h - 10)**3
Let -4*w**4/7 - 44*w**3/7 - 4*w**2 + 84*w = 0. What is w?
-7, 0, 3
Factor 3*c**3 + 927*c**2 - 7560*c + 15216.
3*(c - 4)**2*(c + 317)
Factor i**2 + 14*i + 45.
(i + 5)*(i + 9)
Suppose q**2/4 + 179*q/4 - 181/2 = 0. What is q?
-181, 2
Suppose 3*y**2 + 15468*y + 19938252 = 0. Calculate y.
-2578
Determine m so that -m**2/4 + 23*m/4 - 21/2 = 0.
2, 21
Let -2*u**5/7 - 18*u**4/7 - 46*u**3/7 + 18*u**2/7 + 216*u/7 + 216/7 = 0. What is u?
-3, -2, 2
Solve -2*m**3/7 + 106*m**2/7 + 108*m/7 = 0 for m.
-1, 0, 54
Let -h**3/6 - 5*h**2/3 + h/6 + 5/3 = 0. What is h?
-10, -1, 1
Determine n, given that -3*n**4/7 - 6*n**3/7 + 87*n**2/7 + 90*n/7 = 0.
-6, -1, 0, 5
Find f, given that -4*f**5 - 40*f**4 - 96*f**3 - 88*f**2 - 28*f = 0.
-7, -1, 0
Factor 16*c**2/3 - 244*c/3 - 264.
4*(c - 18)*(4*c + 11)/3
Find h such that 5*h**4 + 30*h**3 - 75*h**2 + 40*h = 0.
-8, 0, 1
Factor 2*v**2/11 - 24*v + 1270/11.
2*(v - 127)*(v - 5)/11
Factor x**2/3 - 1922*x/3 + 923521/3.
(x - 961)**2/3
Factor 3*o**4/2 - 3*o**3/2 - 3*o**2/2 + 3*o/2.
3*o*(o - 1)**2*(o + 1)/2
Suppose -28*z**5 - 36*z**4 + 132*z**3 - 44*z**2 - 24*z = 0. What is z?
-3, -2/7, 0, 1
Factor 10*k**3 + 36*k**2 + 38*k + 12.
2*(k + 1)*(k + 2)*(5*k + 3)
Factor -3*a**5/7 - 3*a**4/7 + 195*a**3/7 + 675*a**2/7.
-3*a**2*(a - 9)*(a + 5)**2/7
Suppose -8*t**3 + 574*t**2 - 424*t - 142 = 0. Calculate t.
-1/4, 1, 71
Find k such that -2*k**5/3 + 8*k**4/3 - 2*k**3/3 - 28*k**2/3 + 40*k/3 - 16/3 = 0.
-2, 1, 2
Factor 2*f**3/3 - 584*f**2/3 + 42632*f/3.
2*f*(f - 146)**2/3
Suppose 2*u**3/5 - 74*u**2/5 + 54*u - 198/5 = 0. Calculate u.
1, 3, 33
Factor w**3/3 + 2*w**2 - 31*w/3 - 40.
(w - 5)*(w + 3)*(w + 8)/3
Find c, given that -3*c**3 + 66*c**2 - 363*c = 0.
0, 11
Factor 4*s**4/3 - 20*s**3/3 - 96*s**2 - 192*s.
4*s*(s - 12)*(s + 3)*(s + 4)/3
Factor f**4/8 + 9*f**3/2 - 39*f**2/2 + 20*f.
f*(f - 2)**2*(f + 40)/8
Factor -2*d**3/5 + 232*d**2/5 - 46*d.
-2*d*(d - 115)*(d - 1)/5
Factor -2*d**2/5 - 192*d/5.
-2*d*(d + 96)/5
Factor -3*z**2/5 - 21*z/5 - 36/5.
-3*(z + 3)*(z + 4)/5
Factor 4*h**4 + 112*h**3 - 1436*h**2 + 3192*h.
4*h*(h - 7)*(h - 3)*(h + 38)
Factor -2*y**2/5 + 61*y/10 - 3/2.
-(y - 15)*(4*y - 1)/10
Factor -4*a**2 - 4*a + 8.
-4*(a - 1)*(a + 2)
Factor -5*w**2 - 2830*w - 400445.
-5*(w + 283)**2
Suppose -4*y**5 + 4*y**4 + 68*y**3 + 60*y**2 = 0. What is y?
-3, -1, 0, 5
Factor -2*c**4/11 - 10*c**3/11 - 18*c**2/11 - 14*c/11 - 4/11.
-2*(c + 1)**3*(c + 2)/11
Factor -2*y**3/11 + 698*y**2/11 - 60550*y/11 - 61250/11.
-2*(y - 175)**2*(y + 1)/11
Find j, given that 20*j**2/3 - 144*j - 176/3 = 0.
-2/5, 22
Factor 56*m**2 - 82*m - 28.
2*(4*m - 7)*(7*m + 2)
Let -368*d**3 - 100*d**2 + 274*d + 6 = 0. Calculate d.
-1, -1/46, 3/4
Solve -64*y**2 + 5024*y - 98596 = 0 for y.
157/4
Suppose a**2 + 86*a - 87 = 0. What is a?
-87, 1
Suppose 3*j**2 - 300*j + 7500 = 0. Calculate j.
50
Factor 2*x**4/15 - 142*x**3 + 8456*x**2/5 - 101216*x/15 + 44928/5.
2*(x - 1053)*(x - 4)**3/15
Find o such that -2*o**2/5 - 9168*o/5 + 1834 = 0.
-4585, 1
Suppose s**2/3 - 58*s - 175/3 = 0. Calculate s.
-1, 175
What is w in 3*w**4 + 432*w**3 + 426*w**2 - 432*w - 429 = 0?
-143, -1, 1
Factor 4*j**4 + 12*j**3 - 12*j**2 - 28*j + 24.
4*(j - 1)**2*(j + 2)*(j + 3)
Factor -5476*u**2/7 + 3552*u/7 - 576/7.
-4*(37*u - 12)**2/7
Suppose -5*w**5 + 60*w**4 - 235*w**3 + 260*w**2 + 240*w - 320 = 0. Calculate w.
-1, 1, 4
Suppose -2*k**2/3 - 38*k - 520/3 = 0. Calculate k.
-52, -5
Suppose -9*r**4 - 204*r**3 - 1221*r**2 - 726*r = 0. What is r?
-11, -2/3, 0
What is z in 5*z**4 - 50*z**3 - 535*z**2 + 3300*z + 21780 = 0?
-6, 11
Factor -2*h**3 - 92*h**2 + 192*h.
-2*h*(h - 2)*(h + 48)
Find m such that m**2/2 + 20*m + 231/2 = 0.
-33, -7
Suppose -2*t**3 - 4*t**2 + 16*t = 0. Calculate t.
-4, 0, 2
What is u in 35*u**5/6 - 1725*u**4 + 376625*u**3/3 + 879850*u**2/3 + 406025*u/2 + 111005/3 = 0?
-1, -2/7, 149
Let -4*h**2 + 4 = 0. What is h?
-1, 1
Factor -2*b**3/11 - 94*b**2/11 + 2*b/11 + 94/11.
-2*(b - 1)*(b + 1)*(b + 47)/11
Find z such that z**3/4 + 2*z**2 - 9*z/4 = 0.
-9, 0, 1
What is o in -3*o**3/4 - 15*o**2/4 - 3*o = 0?
-4, -1, 0
Factor 6*m**3 - 38*m**2 - 76*m - 32.
2*(m - 8)*(m + 1)*(3*m + 2)
Suppose 4*y**3 + 168*y**2 + 608*y = 0. Calculate y.
-38, -4, 0
Factor -2*t**3 + 2*t.
-2*t*(t - 1)*(t + 1)
Factor 3*w**3 - 432*w**2 + 20736*w - 331776.
3*(w - 48)**3
Factor -n**2/5 + 211*n - 2106/5.
-(n - 1053)*(n - 2)/5
Solve 4*k**5 + 52*k**4 - 248*k**3 + 392*k**2 - 