9
Factor -2*u**2/7 - 2*u/7.
-2*u*(u + 1)/7
Solve -14*n**3/9 - 626*n**2/9 + 824*n/9 - 184/9 = 0 for n.
-46, 2/7, 1
Suppose -10*c**4 + 86*c**3 + 136*c**2 + 40*c = 0. Calculate c.
-1, -2/5, 0, 10
Solve 6*g**4/7 - 10*g**3/7 - 212*g**2/7 + 360*g/7 - 144/7 = 0.
-6, 2/3, 1, 6
Solve 2*z**2/9 - 74*z/3 + 140 = 0.
6, 105
What is q in -14*q**4 - 34*q**3 + 552*q**2/7 - 248*q/7 + 32/7 = 0?
-4, 2/7, 1
Solve -2*n**2/5 - 38*n = 0 for n.
-95, 0
Determine q, given that -2*q**2/7 - 88*q/7 + 90/7 = 0.
-45, 1
Determine u, given that -4*u**3 + 144*u**2 - 140*u = 0.
0, 1, 35
Suppose o**5/4 + 37*o**4/4 + 33*o**3/4 - 109*o**2/4 - 17*o/2 + 18 = 0. What is o?
-36, -2, -1, 1
Factor -3*n**5 + 33*n**4 - 30*n**3.
-3*n**3*(n - 10)*(n - 1)
Factor -2*v**2/7 + 26*v/7.
-2*v*(v - 13)/7
Factor 2*a**5/3 - 16*a**3/3 + 32*a/3.
2*a*(a - 2)**2*(a + 2)**2/3
Factor -v**3 - 47*v**2 - 134*v - 88.
-(v + 1)*(v + 2)*(v + 44)
Factor -5*u**3 - 500*u**2 + 1015*u - 510.
-5*(u - 1)**2*(u + 102)
Factor y**2/2 - 41*y/2 + 20.
(y - 40)*(y - 1)/2
Suppose 4*y**4 + 1904*y**3 + 226572*y**2 - 1904*y - 226576 = 0. What is y?
-238, -1, 1
Factor -d**3 + 113*d**2 - 440*d + 436.
-(d - 109)*(d - 2)**2
Suppose 5*c**4 + 110*c**3 + 420*c**2 - 110*c - 425 = 0. Calculate c.
-17, -5, -1, 1
Find d such that -75*d**5 - 10*d**4 + 225*d**3 - 120*d**2 - 20*d = 0.
-2, -2/15, 0, 1
Factor 4*v**4 + 36*v**3 - 12*v**2 - 100*v + 72.
4*(v - 1)**2*(v + 2)*(v + 9)
Suppose 3*n**5 - 114*n**4 + 1440*n**3 - 6048*n**2 = 0. What is n?
0, 12, 14
Solve -24*t**3 + 54*t**2 + 51*t + 9 = 0 for t.
-1/2, -1/4, 3
Determine u so that -2*u**3/9 - 62*u**2/9 + 290*u/9 + 350/9 = 0.
-35, -1, 5
Factor -t**2/7 + 37*t/7.
-t*(t - 37)/7
Factor -2*f**2 + 374*f - 372.
-2*(f - 186)*(f - 1)
Factor 50*n**4/3 - 70*n**3/3 - 208*n**2/3 - 32*n.
2*n*(n - 3)*(5*n + 4)**2/3
Suppose o**2/4 + 6*o + 36 = 0. What is o?
-12
Determine u, given that u**2 + 67*u + 66 = 0.
-66, -1
Suppose -3*j**5 + 51*j**4 - 180*j**3 = 0. Calculate j.
0, 5, 12
Factor 4*r**3 + 24*r**2 + 44*r + 24.
4*(r + 1)*(r + 2)*(r + 3)
Factor -5*y**5 - 4140*y**4 - 1134285*y**3 - 100506730*y**2 + 634115220*y - 966822840.
-5*(y - 3)**2*(y + 278)**3
Suppose -4*j**5 - 12*j**4 + 24*j**3 + 32*j**2 = 0. Calculate j.
-4, -1, 0, 2
Factor 2*b**4 + 24*b**3 - 6*b**2 - 68*b + 48.
2*(b - 1)**2*(b + 2)*(b + 12)
Suppose 3*p**2/4 - 201*p/4 - 51 = 0. Calculate p.
-1, 68
Factor i**2/2 - 156*i + 12168.
(i - 156)**2/2
Factor 3*z**3/5 + 102*z**2/5 + 447*z/5 + 348/5.
3*(z + 1)*(z + 4)*(z + 29)/5
Factor 2*u**2/3 - 416*u/3 - 418/3.
2*(u - 209)*(u + 1)/3
Factor -7*b**3/9 + 5*b**2/3 + 7*b/9 - 5/3.
-(b - 1)*(b + 1)*(7*b - 15)/9
Determine c so that 4*c**4 + 56*c**3 + 176*c**2 + 160*c = 0.
-10, -2, 0
Suppose k**2 + 129*k + 254 = 0. What is k?
-127, -2
Determine t, given that 3*t**3/7 - 1359*t**2/7 - 3*t/7 + 1359/7 = 0.
-1, 1, 453
Factor 2*f**5/17 + 110*f**4/17 + 1940*f**3/17 + 12060*f**2/17 + 31050*f/17 + 28566/17.
2*(f + 3)**3*(f + 23)**2/17
What is t in -3*t**3/4 + 3*t**2/2 + 15*t/4 - 9/2 = 0?
-2, 1, 3
Suppose 2*f**3/11 + 46*f**2/11 + 160*f/11 + 152/11 = 0. Calculate f.
-19, -2
Solve 841*s**4/3 + 3973*s**3/3 - 6190*s**2/3 + 1472*s/3 - 32 = 0 for s.
-6, 4/29, 1
What is q in -q**3/2 - 55*q**2 + 2*q + 220 = 0?
-110, -2, 2
Determine a so that -16*a**5 - 10624*a**4 + 74860*a**3 - 195596*a**2 + 225312*a - 96624 = 0.
-671, 3/2, 2
Determine z, given that -z**4/3 + 19*z**3/3 + 88*z**2/3 + 92*z/3 = 0.
-2, 0, 23
Find v such that v**4/7 + 8*v**3/7 - 47*v**2/7 + 18*v/7 + 72/7 = 0.
-12, -1, 2, 3
Let -303*h**2/5 - 104*h/5 - 1/5 = 0. What is h?
-1/3, -1/101
Determine c, given that 3*c**5/4 + 15*c**4/4 - 39*c**3/2 - 195*c**2/2 + 75*c/4 + 375/4 = 0.
-5, -1, 1, 5
Let -o**3/3 - 13*o**2 - 38*o/3 = 0. Calculate o.
-38, -1, 0
Factor -z**3 + 2*z**2 + 39*z + 72.
-(z - 8)*(z + 3)**2
Find i such that 4*i**4 - 8*i**3 - 12*i**2 = 0.
-1, 0, 3
Suppose 1860*k**4 + 5095*k**3 + 2270*k**2 - 955*k + 10 = 0. Calculate k.
-2, -1, 1/93, 1/4
Factor 27*l**2/2 + 240*l - 54.
3*(l + 18)*(9*l - 2)/2
Factor 1048*d**3/7 - 2180*d**2/7 + 1216*d/7 - 12.
4*(d - 1)**2*(262*d - 21)/7
Determine b, given that 7*b**2/6 + 37*b/2 + 15 = 0.
-15, -6/7
Factor 3*k**2/5 - 348*k/5 + 10092/5.
3*(k - 58)**2/5
Solve b**2/7 - 8*b/7 = 0 for b.
0, 8
Factor -2*v**2/15 - 206*v/3 - 684/5.
-2*(v + 2)*(v + 513)/15
Solve -6*s**2/7 + 88*s/7 + 128/7 = 0 for s.
-4/3, 16
Solve -y**2/4 - 5*y + 56 = 0 for y.
-28, 8
Find w, given that -5*w**2 + 275*w - 3680 = 0.
23, 32
Suppose -i**4/7 - 2*i**3 - 43*i**2/7 - 30*i/7 = 0. What is i?
-10, -3, -1, 0
Determine c so that c**2/4 + 165*c/2 + 329/4 = 0.
-329, -1
Let -d**2/2 + 14*d - 75/2 = 0. Calculate d.
3, 25
Factor -3*h**3/7 - 99*h**2/7 - 765*h/7 - 1725/7.
-3*(h + 5)**2*(h + 23)/7
Let -2*k**3/9 + 2*k**2/3 + 2*k/9 - 2/3 = 0. Calculate k.
-1, 1, 3
Let -8*j**5/3 + 4*j**4/3 + 20*j**3 - 76*j**2/3 - 4*j/3 + 8 = 0. Calculate j.
-3, -1/2, 1, 2
Determine j, given that j**5/10 - j**3/2 + 2*j/5 = 0.
-2, -1, 0, 1, 2
Factor -35*v**2 + 81190*v + 23200.
-5*(v - 2320)*(7*v + 2)
Let -81*z**4/4 - 1692*z**3 + 755*z**2 - 84*z = 0. What is z?
-84, 0, 2/9
Determine b, given that -b**3/2 + 127*b**2 - 252*b = 0.
0, 2, 252
Factor 3*t**3/5 + 129*t**2/5 + 918*t/5.
3*t*(t + 9)*(t + 34)/5
Solve -2*w**3 - 2372*w**2 - 4736*w = 0 for w.
-1184, -2, 0
Let 3*r**3/5 - 9*r**2/5 - 12*r/5 + 36/5 = 0. What is r?
-2, 2, 3
Factor w**2/8 + 419*w/8 + 209/4.
(w + 1)*(w + 418)/8
Find w, given that w**4/3 - w**2 + 2*w/3 = 0.
-2, 0, 1
Factor 2*l**4/11 + 38*l**3/11 + 18*l**2 + 162*l/11.
2*l*(l + 1)*(l + 9)**2/11
Let -z**5/3 + 4*z**3/3 - 2*z**2/3 - z + 2/3 = 0. Calculate z.
-2, -1, 1
Find v, given that v**3/5 + 6*v**2 - v/5 - 6 = 0.
-30, -1, 1
Determine j so that -j**5/6 - 22*j**4/3 - 102*j**3 - 432*j**2 = 0.
-18, -8, 0
Solve 4*u**2 + 880*u + 876 = 0 for u.
-219, -1
Determine n, given that 3*n**2 - 33*n - 78 = 0.
-2, 13
Factor -p**2/7 + 15*p/7 + 16/7.
-(p - 16)*(p + 1)/7
Solve 28*c**4/3 + 212*c**3 + 2504*c**2/3 + 752*c - 288 = 0.
-18, -3, -2, 2/7
Solve -2*o**4 - 34*o**3 - 156*o**2 - 64*o + 256 = 0.
-8, -2, 1
Factor -2*m**5 - 374*m**4 - 16916*m**3 + 53012*m**2 - 53770*m + 18050.
-2*(m - 1)**3*(m + 95)**2
What is j in -3*j**2/2 - 2211*j - 1629507/2 = 0?
-737
Solve 2*v**4/21 + 2230*v**3/21 + 206832*v**2/7 - 207576*v/7 = 0 for v.
-558, 0, 1
Factor -2*f**4 + 32*f**3 + 70*f**2 + 36*f.
-2*f*(f - 18)*(f + 1)**2
Suppose w**4 - 3*w**3 - 2*w**2 + 12*w - 8 = 0. Calculate w.
-2, 1, 2
Determine k so that k**5/2 + 3*k**4 + 9*k**3/2 + 2*k**2 = 0.
-4, -1, 0
Solve 8*y**4 + 232*y**3 - 238*y**2 + 60*y = 0 for y.
-30, 0, 1/2
Factor 2*h**2/17 + 56*h/17 + 54/17.
2*(h + 1)*(h + 27)/17
Factor -5*j**4 + 15*j**3 - 15*j**2 + 5*j.
-5*j*(j - 1)**3
Factor 4*v**5 - 28*v**4.
4*v**4*(v - 7)
Factor 3*j**5 - 327*j**4 + 324*j**3.
3*j**3*(j - 108)*(j - 1)
Suppose -v**3/2 - 65*v**2 - 129*v/2 = 0. What is v?
-129, -1, 0
Solve -105*r**5 + 93*r**4 + 474*r**3 - 372*r**2 - 216*r = 0 for r.
-2, -2/5, 0, 9/7, 2
Solve -47*c**2 - c = 0 for c.
-1/47, 0
Factor 2*b**3/17 - 46*b**2/17 + 336*b/17 - 792/17.
2*(b - 11)*(b - 6)**2/17
Find m such that -m**2 + 254*m - 753 = 0.
3, 251
Let o**3 - 96*o**2 - 97*o = 0. What is o?
-1, 0, 97
Factor -4*d**4 - 12*d**3 + 888*d**2 - 3712*d - 4608.
-4*(d - 8)**2*(d + 1)*(d + 18)
Solve 2*p**2/9 - 4268*p/3 - 12806/9 = 0 for p.
-1, 6403
Factor -3*h**2/5 - 27*h/5 + 66/5.
-3*(h - 2)*(h + 11)/5
Factor 3*z**2 + 1734*z + 250563.
3*(z + 289)**2
Factor -5*w**5 - 10*w**4 + 20*w**3 + 40*w**2.
-5*w**2*(w - 2)*(w + 2)**2
Factor -28*n**2 + 132*n - 104.
-4*(n - 1)*(7*n - 26)
Suppose -2*q**5/11 - 28*q**4/11 - 14*q**3 - 416*q**2/11 - 552*q/11 - 288/11 = 0. Calculate q.
-4, -3, -2
Find x such that x**5/6 + 17*x**4/6 + 79*x**3/6 + 47*x**2/6 - 40*x/3 - 32/3 = 0.
-8, -1, 1
Factor -25*i**3 + 10790*i**2 - 1162080*i - 466560.
-5*(i - 216)**2*(5*i + 2)
Determine h, given that 4*h**5 - 276*h**4 + 5388*h**3 - 21212*h**2 + 9984*h + 36864 = 0.
-1, 3, 32
Suppose b**5 + 4*b**4 + 2*b**3 - 4*b**2 - 3*b = 0. Calculate b.
-3, -1, 0, 1
Find p, given that -p**4/8 + 3*p**3/8 + p**2/2 - 3*p/2 = 0.
-2, 0, 2, 3
What is r in -10*r**5 + 4*r**4 + 70*r**3 + 32*r**2 - 24*r = 0?
-2, -1, 0, 2/5, 3
Factor 3*q**4 - 120*q**3 + 111*q**2 + 234*q.
3*q*(q - 39)*(q - 2)*(q + 1)
Factor s**3/5 - 9*s**2 - 192*s/5 - 196/5.
(s - 49)*(s + 2)**2/5
Factor -3*i**2 + 8382*i - 5854827.
-3*(i - 1397)**2
Wh