e -5*v**2 - 30*v - 40 = 0. Calculate v.
-4, -2
Factor 3*x**2/5 + 426*x + 75615.
3*(x + 355)**2/5
Factor 3*m**3 - 18*m**2 + 9*m + 30.
3*(m - 5)*(m - 2)*(m + 1)
Factor 192*f**4/7 + 144*f**3/7 - 213*f**2/7 - 90*f/7 + 75/7.
3*(f + 1)**2*(8*f - 5)**2/7
Suppose 2535*x**4/2 - 129545*x**3/2 + 19900*x**2/3 - 170*x = 0. What is x?
0, 2/39, 51
Let -4*u**5 - 38*u**4 + 16*u**3 + 338*u**2 + 264*u - 216 = 0. Calculate u.
-9, -2, 1/2, 3
Let -r**4 - 239*r**3 - 237*r**2 + 239*r + 238 = 0. What is r?
-238, -1, 1
Factor 5*c**2 - 35*c.
5*c*(c - 7)
Determine c so that 3*c**2 + 126*c - 264 = 0.
-44, 2
Determine n so that 6*n**2/5 + 2146*n/5 - 2152/5 = 0.
-1076/3, 1
Let 3*n**4/5 + 24*n**3/5 + 36*n**2/5 = 0. What is n?
-6, -2, 0
What is p in 533871*p**4/2 - 561249*p**3/2 + 13923*p**2 - 706*p/3 + 4/3 = 0?
2/117, 1
Suppose -2*n**3/5 - 6*n**2 + 44*n/5 + 192/5 = 0. Calculate n.
-16, -2, 3
Factor -2*t**3/13 + 158*t**2/13 - 2870*t/13 - 10086/13.
-2*(t - 41)**2*(t + 3)/13
Factor 12*y**4 - 128*y**3 + 272*y**2 - 128*y.
4*y*(y - 8)*(y - 2)*(3*y - 2)
Find h, given that -2*h**4 + 29*h**3 - 126*h**2 + 220*h - 136 = 0.
2, 17/2
Find g, given that 2*g**5/3 - 6436*g**4/3 + 6907970*g**3/3 - 2477647136*g**2/3 + 4934596096*g/3 - 2463850496/3 = 0.
1, 1072
Find w, given that 14*w**3/9 - 32*w**2/9 + 8*w/9 = 0.
0, 2/7, 2
Factor -3*k**3 - 258*k**2 + 537*k + 792.
-3*(k - 3)*(k + 1)*(k + 88)
Let 2*j**5/11 - 26*j**4/11 - 10*j**3/11 + 130*j**2/11 + 8*j/11 - 104/11 = 0. What is j?
-2, -1, 1, 2, 13
Factor 2*v**5/7 + 50*v**4/7 - 372*v**3/7.
2*v**3*(v - 6)*(v + 31)/7
Let -4*w**4 + 48*w**3 + 384*w**2 + 832*w + 576 = 0. Calculate w.
-2, 18
What is z in -3*z**3/5 - 9*z**2 + 48*z/5 = 0?
-16, 0, 1
Solve -3*v**2/5 + 4212*v/5 - 1478412/5 = 0 for v.
702
What is q in -q**3 - 28*q**2 + 60*q = 0?
-30, 0, 2
Factor 5*h**4 - 185*h**3 + 2340*h**2 - 10800*h + 8640.
5*(h - 12)**3*(h - 1)
Solve -3*h**2/5 + 30024*h/5 - 75120048/5 = 0.
5004
Find u, given that -6*u**5/5 + 4*u**4 - 4*u**2 + 6*u/5 = 0.
-1, 0, 1/3, 1, 3
Let -3*s**4 + 12*s**3 - 9*s**2 - 12*s + 12 = 0. Calculate s.
-1, 1, 2
Factor -c**4/3 + 11*c**3/3 + 73*c**2/3 + 109*c/3 + 16.
-(c - 16)*(c + 1)**2*(c + 3)/3
Factor -2*z**4/5 - 18*z**3/5 - 28*z**2/5.
-2*z**2*(z + 2)*(z + 7)/5
Find o such that 30*o**4 - 65*o**3 + 35*o**2 = 0.
0, 1, 7/6
Let 5*x**2 + 16400*x + 13448000 = 0. Calculate x.
-1640
Let -2*c**3/5 + 58*c**2/5 - 144*c/5 - 4536/5 = 0. What is c?
-7, 18
Let -5*j**5 - 80*j**4 - 440*j**3 - 960*j**2 - 720*j = 0. Calculate j.
-6, -2, 0
Find x, given that 23*x**3/5 + 74*x**2/5 + 79*x/5 + 28/5 = 0.
-28/23, -1
Find c, given that 15*c**3/4 + 123*c**2/2 + 129*c + 42 = 0.
-14, -2, -2/5
Solve -2*h**2/5 + 96*h/5 + 98/5 = 0 for h.
-1, 49
Find g such that -7*g**5/4 + 5*g**4/2 + 8*g**3 + 3*g**2/2 - 9*g/4 = 0.
-1, 0, 3/7, 3
Solve w**3/9 + 37*w**2/3 + 1045*w/3 + 3025/9 = 0 for w.
-55, -1
Let 2*p**3 + 40*p**2 + 106*p + 68 = 0. Calculate p.
-17, -2, -1
Factor 2*f**2 + 2236*f + 624962.
2*(f + 559)**2
Find r such that r**4/4 + 7*r**3 - 17*r**2/2 - 37*r - 87/4 = 0.
-29, -1, 3
What is s in -3*s**2 + 2412*s - 484812 = 0?
402
Factor -2*y**3/5 - 2*y**2 - 8*y/5.
-2*y*(y + 1)*(y + 4)/5
Suppose 3*p**5 - 69*p**4 - 228*p**3 - 156*p**2 = 0. Calculate p.
-2, -1, 0, 26
Solve -o**5/2 + o**4 - o**2 + o/2 = 0.
-1, 0, 1
Factor 3*u**3 - 84*u**2.
3*u**2*(u - 28)
Factor -3*t**2/4 + 315*t/4 + 999/2.
-3*(t - 111)*(t + 6)/4
Factor -7*a**2/4 - 13*a/2 + 2.
-(a + 4)*(7*a - 2)/4
Find m such that -5*m**3 + 47*m**2/2 - 32*m + 27/2 = 0.
1, 27/10
Find j such that -2*j**4 - 32*j**3 - 46*j**2 + 680*j - 600 = 0.
-10, 1, 3
Determine v so that -16*v**5/3 + 40*v**4/3 + 9*v**3 - 73*v**2/3 - 32*v/3 + 4 = 0.
-1, -3/4, 1/4, 2
Find t such that -5*t**3 - 1895*t**2 - 178600*t + 180500 = 0.
-190, 1
Factor -2*o**5 + 4*o**4 + 66*o**3 - 332*o**2 + 568*o - 336.
-2*(o - 3)*(o - 2)**3*(o + 7)
Factor 2*o**2/11 - 10*o/11 + 8/11.
2*(o - 4)*(o - 1)/11
Factor 4*a**3 - 4*a**2 - 16*a + 16.
4*(a - 2)*(a - 1)*(a + 2)
Factor 4*n**3 - 4780*n**2 - 28788*n - 43236.
4*(n - 1201)*(n + 3)**2
Solve 243*k**5 + 837*k**4 - 42*k**3 - 1182*k**2 - 105*k + 441 = 0.
-3, -1, 7/9
Factor 3*t**2/2 - 117*t + 4563/2.
3*(t - 39)**2/2
Suppose 27*y**2/5 - 249*y/5 + 114 = 0. Calculate y.
38/9, 5
Determine p so that -4*p**2 + 40*p - 36 = 0.
1, 9
Factor 2*l**2/15 + 146*l/15 + 284/15.
2*(l + 2)*(l + 71)/15
Solve s**5/5 + 28*s**4/5 + 169*s**3/5 - 198*s**2/5 = 0 for s.
-18, -11, 0, 1
Solve -3*b**5/4 - 33*b**4/2 - 105*b**3/2 + 411*b**2 - 2379*b/4 + 507/2 = 0 for b.
-13, 1, 2
Factor -4*t**2 - 32120*t - 64480900.
-4*(t + 4015)**2
Let -2*n**2 - 8*n + 42 = 0. Calculate n.
-7, 3
Factor 3*a**5 + 939*a**4 + 98274*a**3 + 3470064*a**2 + 3179904*a - 6749184.
3*(a - 1)*(a + 2)*(a + 104)**3
Suppose o**5/3 + 4*o**4/3 - 7*o**3 + 4*o**2/3 + 28*o/3 = 0. What is o?
-7, -1, 0, 2
Factor 2*l**2/23 + 450*l/23.
2*l*(l + 225)/23
Solve -2*s**2/13 + 60*s/13 + 128/13 = 0 for s.
-2, 32
Factor -x**3/4 - 7*x**2/2 - 65*x/4 - 25.
-(x + 4)*(x + 5)**2/4
What is g in 16*g**3 + 252*g**2 - 640*g + 144 = 0?
-18, 1/4, 2
Solve -u**2/2 + 9*u/2 - 9 = 0.
3, 6
Let 2*x**2/5 - 1818*x/5 - 364 = 0. Calculate x.
-1, 910
Factor -2*x**2/11 - 34*x/11 + 36/11.
-2*(x - 1)*(x + 18)/11
Factor k**2/3 + 7*k.
k*(k + 21)/3
Solve -15*y**3/7 - 669*y**2 - 10236*y/7 - 1860/7 = 0.
-310, -2, -1/5
Solve -2*t**3 + 132*t**2 - 2304*t + 4096 = 0.
2, 32
Find a such that 5*a**5 + 250*a**4 - 835*a**3 - 99000*a**2 + 784080*a = 0.
-36, 0, 11
Factor 6*t**4/7 + 17*t**3/7 + 15*t**2/7 + 3*t/7 - 1/7.
(t + 1)**3*(6*t - 1)/7
Solve -3*k**5 + 38*k**4 - 104*k**3 - 78*k**2 + 107*k + 40 = 0.
-1, -1/3, 1, 5, 8
Determine m so that -9*m**4/5 - 1631*m**3/5 - 74882*m**2/5 - 17892*m - 3240 = 0.
-90, -1, -2/9
Factor 3*f**3/5 - 81*f**2/5 - 84*f/5.
3*f*(f - 28)*(f + 1)/5
Determine w, given that -w**3 + 23*w**2 + 280*w + 256 = 0.
-8, -1, 32
Factor -t**5 + 59*t**4 - 838*t**3 - 1020*t**2 + 1800*t.
-t*(t - 30)**2*(t - 1)*(t + 2)
Factor g**4/4 + 2*g**3 - g**2/4 - 2*g.
g*(g - 1)*(g + 1)*(g + 8)/4
Suppose -5*p**4 - 20*p**3 + 5*p**2 + 20*p = 0. What is p?
-4, -1, 0, 1
Determine w, given that -w**4/4 + 7*w**3/4 - 17*w**2/4 + 17*w/4 - 3/2 = 0.
1, 2, 3
Factor 2*q**2/5 - 432*q/5 + 23328/5.
2*(q - 108)**2/5
Find t, given that -2*t**2 - 556*t = 0.
-278, 0
Solve o**3/6 + 41*o**2/6 + 74*o/3 = 0.
-37, -4, 0
Factor 2*k**2/15 + 32*k/15 - 24/5.
2*(k - 2)*(k + 18)/15
Let -n**4/5 - n**3/5 + 3*n**2/5 + n/5 - 2/5 = 0. Calculate n.
-2, -1, 1
Find q, given that -361*q**4/4 - 380*q**3 - 1391*q**2/4 - 61*q - 3 = 0.
-3, -1, -2/19
Factor -u**4/2 - 4*u**3 - 21*u**2/2 - 9*u.
-u*(u + 2)*(u + 3)**2/2
Solve -2*m**5/5 + 16*m**4/5 + 36*m**3/5 - 144*m**2/5 - 162*m/5 = 0.
-3, -1, 0, 3, 9
Determine w, given that -w**5 + 3*w**4 + 2*w**3 - 6*w**2 - w + 3 = 0.
-1, 1, 3
Find t, given that -t**2 - 17*t - 66 = 0.
-11, -6
Find h, given that 772*h**3 - 1359*h**2 + 593*h - 6 = 0.
2/193, 3/4, 1
Solve -7*y**4 - 9*y**3 + 12*y**2 + 4*y = 0.
-2, -2/7, 0, 1
Factor 4*q**2/7 + 8*q - 128/7.
4*(q - 2)*(q + 16)/7
What is p in 7*p**3 + 193*p**2/2 + 145*p/2 + 13 = 0?
-13, -1/2, -2/7
Find m, given that -16*m**5/3 - 44*m**4/3 + 28*m**3/3 + 44*m**2/3 - 4*m = 0.
-3, -1, 0, 1/4, 1
Find h such that -4*h**5 + 44*h**4 + 216*h**3 + 344*h**2 + 236*h + 60 = 0.
-1, 15
Factor -v**5 + 10*v**4 - 29*v**3 + 32*v**2 - 12*v.
-v*(v - 6)*(v - 2)*(v - 1)**2
Factor -75*o**2/4 + 71*o/4 + 1.
-(o - 1)*(75*o + 4)/4
Factor 2*i**5 - 10*i**4 + 14*i**3 - 6*i**2.
2*i**2*(i - 3)*(i - 1)**2
Determine d, given that 4*d**3 - 12*d + 8 = 0.
-2, 1
Factor 18*s**3 - 76108*s**2 + 80458840*s - 17875984.
2*(s - 2114)**2*(9*s - 2)
Find t, given that t**2/4 - 9*t/2 - 10 = 0.
-2, 20
Factor -l**3/5 - 38*l**2/5 - 28*l - 136/5.
-(l + 2)**2*(l + 34)/5
Factor 180*u**3 - 2040*u**2 - 3775*u - 1625.
5*(u - 13)*(6*u + 5)**2
Determine o so that 5*o**3 - 25*o**2 - 40*o + 60 = 0.
-2, 1, 6
Suppose -l**2/5 - 9*l + 46/5 = 0. Calculate l.
-46, 1
Factor -2*w**3 + 24*w**2 - 22*w.
-2*w*(w - 11)*(w - 1)
Factor 2*u**3 - 508*u**2.
2*u**2*(u - 254)
Factor -q**4 - 8*q**3 + 42*q**2 + 104*q + 55.
-(q - 5)*(q + 1)**2*(q + 11)
Factor -2*c**4/5 - 8*c**3/5 + 2*c**2.
-2*c**2*(c - 1)*(c + 5)/5
Factor -3*g**3/4 - 1515*g**2/4 - 48006*g - 47628.
-3*(g + 1)*(g + 252)**2/4
Factor z**3 + 42*z**2 + 119*z + 78.
(z + 1)*(z + 2)*(z + 39)
Factor n**2/2 - 11*n/2 + 5.
(n - 10)*(n - 1)/2
Determine w, given th