Determine s, given that 17*s**4/5 - 86*s**3/5 - 51*s**2/5 + 224*s/5 + 172/5 = 0.
-1, 2, 86/17
Suppose a**3/2 - 161*a**2/2 + 79*a + 160 = 0. Calculate a.
-1, 2, 160
Factor 5*f**2 - 1080*f + 58320.
5*(f - 108)**2
Suppose 28*t**4 + 344*t**3 - 268*t**2 - 104*t = 0. What is t?
-13, -2/7, 0, 1
Factor 3*o**2 - 108*o.
3*o*(o - 36)
Solve -2*f**4/3 - 32*f**3/3 - 10*f**2 + 1000*f/3 + 1000/3 = 0 for f.
-10, -1, 5
Factor -q**3 + 78*q**2 - 1440*q - 3200.
-(q - 40)**2*(q + 2)
Let 32*w**5/3 - 280*w**4/3 - 442*w**3/3 + 863*w**2/6 - 116*w/3 + 10/3 = 0. Calculate w.
-2, 1/4, 10
Factor y**2/2 - 59*y.
y*(y - 118)/2
Factor 8*y**3 - 928*y**2 + 922*y - 230.
2*(y - 115)*(2*y - 1)**2
Factor 2*m**3/9 - 28*m**2/9 + 118*m/9 - 140/9.
2*(m - 7)*(m - 5)*(m - 2)/9
Factor -14*z**4/13 + 6*z**3 - 90*z**2/13 - 54*z/13.
-2*z*(z - 3)**2*(7*z + 3)/13
Factor -15*z**2 - 280*z - 180.
-5*(z + 18)*(3*z + 2)
Solve 4*o**4/7 + 72*o**3/7 + 324*o**2/7 = 0 for o.
-9, 0
Solve 2*f**2 - 96*f + 184 = 0 for f.
2, 46
Let -3*v**3 - 27360*v**2 - 83174400*v - 84283392000 = 0. What is v?
-3040
Factor -r**5 - 12*r**4 + 99*r**3 - 158*r**2 + 72*r.
-r*(r - 4)*(r - 1)**2*(r + 18)
Factor 3*y**3/7 - 87*y**2/7 - 183*y/7 - 93/7.
3*(y - 31)*(y + 1)**2/7
Suppose -3*g**3 - 18*g**2 + 93*g + 108 = 0. What is g?
-9, -1, 4
Suppose 2*q**3/7 - 22*q**2/7 = 0. Calculate q.
0, 11
Factor 14*x**3 + 1080*x**2 + 2254*x + 300.
2*(x + 2)*(x + 75)*(7*x + 1)
Factor -g**3/5 - 129*g**2 - 103683*g/5 + 104329/5.
-(g - 1)*(g + 323)**2/5
Factor -2*c**2/11 + 12*c/11 - 18/11.
-2*(c - 3)**2/11
Factor -3*b**2/4 + 3399*b/2 - 3851067/4.
-3*(b - 1133)**2/4
Determine h so that -9*h**5/2 - 24*h**4 + 22*h**3 + 21*h**2 - 35*h/2 + 3 = 0.
-6, -1, 1/3, 1
Factor -2*r**4/5 - 2886*r**3/5 - 2304*r**2 - 11512*r/5.
-2*r*(r + 2)**2*(r + 1439)/5
Factor n**3/3 - 10*n**2/3 + 16*n/3.
n*(n - 8)*(n - 2)/3
Factor -3*p**3 - 51*p**2 - 252*p - 324.
-3*(p + 2)*(p + 6)*(p + 9)
Factor -3*s**3/5 + 6*s**2/5 + 12*s + 72/5.
-3*(s - 6)*(s + 2)**2/5
Factor 8*z**4 + 1742*z**3 + 94612*z**2 - 23762*z.
2*z*(z + 109)**2*(4*z - 1)
Factor 4*m**5 + 8*m**4 - 4*m**3 - 8*m**2.
4*m**2*(m - 1)*(m + 1)*(m + 2)
Suppose -3*h**2 - 132*h + 276 = 0. Calculate h.
-46, 2
Find b such that 5*b**5 - 110*b**4 + 705*b**3 - 1100*b**2 + 500*b = 0.
0, 1, 10
Let -5*v**5 + 15*v**4 + 215*v**3 - 55*v**2 - 570*v + 400 = 0. What is v?
-5, -2, 1, 8
Suppose -48*y**4 - 68*y**3 + 276*y**2 + 128*y - 48 = 0. What is y?
-3, -2/3, 1/4, 2
Let -15*k**4/2 - 895*k**3/2 - 2315*k**2/2 - 2005*k/2 - 285 = 0. Calculate k.
-57, -1, -2/3
Factor 2*i**2 - 234*i + 684.
2*(i - 114)*(i - 3)
Factor 16*i**2 + 44*i + 28.
4*(i + 1)*(4*i + 7)
Find h such that -h**2/2 + 87*h - 173/2 = 0.
1, 173
Find b, given that 2*b**5/9 - 10*b**4/9 = 0.
0, 5
Factor -b**4/5 - 204*b**3/5 - 15508*b**2/5 - 520608*b/5 - 6512704/5.
-(b + 44)**2*(b + 58)**2/5
Suppose -12*v**5 - 215*v**4 - 2827*v**3/3 - 3359*v**2/3 - 1297*v/3 - 52 = 0. What is v?
-12, -13/3, -1, -1/3, -1/4
Determine x so that 2*x**2 - 26*x - 228 = 0.
-6, 19
Determine j, given that 2*j**4/17 + 38*j**3/17 + 200*j**2/17 + 24*j + 288/17 = 0.
-12, -3, -2
Factor 7*i**2 + 1075*i - 462.
(i + 154)*(7*i - 3)
What is d in -5*d**4/4 - 17*d**3 + 7*d**2 = 0?
-14, 0, 2/5
Factor o**5 - 368*o**4 + 33852*o**3 + 1472*o**2 - 135424*o.
o*(o - 184)**2*(o - 2)*(o + 2)
Factor 4*m**4 + 220*m**3 + 424*m**2.
4*m**2*(m + 2)*(m + 53)
Factor -20*t**3 - 116*t**2 - 156*t + 36.
-4*(t + 3)**2*(5*t - 1)
What is u in 2*u**4/5 + 112*u**3/5 + 1196*u**2/5 - 10416*u/5 + 17298/5 = 0?
-31, 3
Determine t so that -847*t**5/9 - 935*t**4/9 - 17*t**3/3 + 35*t**2/9 - 2*t/9 = 0.
-1, -2/7, 0, 1/11
Find w such that -10*w**5 - 5*w**4 + 50*w**3 - 20*w**2 - 40*w + 25 = 0.
-5/2, -1, 1
Suppose 23*z**3/5 + 93*z**2/5 + 4*z/5 = 0. Calculate z.
-4, -1/23, 0
What is o in -o**4/2 - 17*o**3 - 167*o**2/2 + 17*o + 84 = 0?
-28, -6, -1, 1
Let -27*a**4 + 87*a**3 - 72*a**2 + 12*a = 0. What is a?
0, 2/9, 1, 2
Determine x, given that -x**2/4 + 3557*x/2 - 12652249/4 = 0.
3557
Let m**3/4 + 3*m**2/4 - 1 = 0. What is m?
-2, 1
Let -2*a**2/15 - 1736*a/15 - 346 = 0. What is a?
-865, -3
Solve 4*w**5/7 + 22*w**4/7 + 10*w**3/7 - 80*w**2/7 - 104*w/7 - 32/7 = 0 for w.
-4, -2, -1, -1/2, 2
Factor 2*t**4 - 17*t**3 + 345*t**2/8 - 175*t/4 + 125/8.
(t - 5)*(t - 1)*(4*t - 5)**2/8
Factor g**5 + 28*g**4 - 32*g**3 - 82*g**2 + 143*g - 58.
(g - 1)**3*(g + 2)*(g + 29)
Suppose 6*o**5/7 - 1108*o**4/7 + 3988*o**3/7 - 152*o**2 - 3994*o/7 + 2172/7 = 0. What is o?
-1, 2/3, 1, 3, 181
What is z in 3*z**4 - 297*z**3 + 861*z**2 + 297*z - 864 = 0?
-1, 1, 3, 96
Solve -t**4/2 - 8*t**3 - 63*t**2/2 - 46*t - 22 = 0.
-11, -2, -1
Factor 20*h**4 - 55*h**3 + 50*h**2 - 15*h.
5*h*(h - 1)**2*(4*h - 3)
Factor -356445*i**2 + 2670*i - 5.
-5*(267*i - 1)**2
Factor g**4/2 - 73*g**3/2 + 395*g**2/2 + 469*g/2.
g*(g - 67)*(g - 7)*(g + 1)/2
Find z, given that 392*z**4 + 1400*z**3 - 654*z**2 + 72*z = 0.
-4, 0, 3/14
Find y, given that -2*y**4 - 1152*y**3 - 1146*y**2 + 2300*y = 0.
-575, -2, 0, 1
Find u, given that -3*u**4 - 69*u**3 - 411*u**2 - 795*u - 450 = 0.
-15, -5, -2, -1
Solve 4*t**5 - 52*t**4 + 180*t**3 + 100*t**2 - 1000*t = 0.
-2, 0, 5
Find k, given that 64*k**3/17 - 702*k**2/17 - 22*k/17 = 0.
-1/32, 0, 11
Suppose -13*m**3 + 804*m**2 - 669*m - 122 = 0. Calculate m.
-2/13, 1, 61
Determine t, given that -3872*t**4/3 + 176*t**3/3 - 2*t**2/3 = 0.
0, 1/44
Factor -2*n**3/7 + 710*n**2/7 + 1426*n/7 + 102.
-2*(n - 357)*(n + 1)**2/7
Factor p**3/3 + 124*p**2/3 + 484*p/3 + 160.
(p + 2)**2*(p + 120)/3
Factor q**5 + 3*q**4 - 22*q**3 - 74*q**2 - 75*q - 25.
(q - 5)*(q + 1)**3*(q + 5)
Factor -3*t**2 - 54*t - 216.
-3*(t + 6)*(t + 12)
Let 6*z**5 + 1202*z**4/7 - 10692*z**3/7 + 17232*z**2/7 + 1984*z + 2304/7 = 0. Calculate z.
-36, -1/3, -2/7, 4
Factor -g**4 + 5*g**3 - 3*g**2 - 5*g + 4.
-(g - 4)*(g - 1)**2*(g + 1)
Solve 3*g**4 - 42*g**3 - 405*g**2 + 924*g - 480 = 0 for g.
-8, 1, 20
Suppose -5*r**4 - 113*r**3 - 829*r**2 - 1855*r + 882 = 0. What is r?
-9, -7, 2/5
Factor 2*l**2 + 30560*l + 116739200.
2*(l + 7640)**2
Find l, given that -l**2/4 - 109*l/2 - 11881/4 = 0.
-109
What is m in -25*m**5 + 10*m**4 + 15*m**3 = 0?
-3/5, 0, 1
Factor -3*o**2 + 198*o - 3267.
-3*(o - 33)**2
Solve 101*g**3/3 + 206*g**2/3 + 109*g/3 + 4/3 = 0 for g.
-1, -4/101
Factor 2*m**2/11 + 20*m/11 + 42/11.
2*(m + 3)*(m + 7)/11
Factor -2*h**2/7 + 298*h/7 + 604/7.
-2*(h - 151)*(h + 2)/7
Solve -3969*u**2/2 - 63*u - 1/2 = 0.
-1/63
Factor -2*j**2 - 32*j.
-2*j*(j + 16)
Solve 9*k**5/4 + 21*k**4/4 - 37*k**3/2 - 11*k**2 + 14*k + 8 = 0 for k.
-4, -2/3, 1, 2
Suppose 15*v**2/7 + 11*v + 10/7 = 0. Calculate v.
-5, -2/15
Find m, given that 14*m**3 + 396*m**2 + 2856*m + 784 = 0.
-14, -2/7
Factor -2*l**3 - 20*l**2 + 886*l - 864.
-2*(l - 16)*(l - 1)*(l + 27)
Factor -4*t**2 + 212*t.
-4*t*(t - 53)
Solve -2*a**4/23 - 36*a**3/23 + 2*a**2 + 144*a/23 - 152/23 = 0 for a.
-19, -2, 1, 2
Factor -3*p**2 - 210*p + 213.
-3*(p - 1)*(p + 71)
Suppose j**5/5 - 3*j**4/5 - j**3/5 + 3*j**2/5 = 0. What is j?
-1, 0, 1, 3
Factor -2*x**3/5 - 3858*x**2/5 - 1862448*x/5 - 1858592/5.
-2*(x + 1)*(x + 964)**2/5
Suppose 10*c**2/3 + 67*c = 0. Calculate c.
-201/10, 0
Let -16*f**4 - 1212*f**3 - 22800*f**2 + 5776*f = 0. What is f?
-38, 0, 1/4
Determine s, given that -s**3 - 5*s**2 - 4*s = 0.
-4, -1, 0
Factor 2*h**3 - 392*h**2 + 21344*h - 203136.
2*(h - 92)**2*(h - 12)
Factor -4*i**2 + 64*i + 1188.
-4*(i - 27)*(i + 11)
Determine d so that 2*d**2 + 26*d = 0.
-13, 0
Solve m**5/4 - 153*m**4/4 - m**3/4 + 153*m**2/4 = 0 for m.
-1, 0, 1, 153
Factor 5*d**4 + 40*d**3 + 60*d**2.
5*d**2*(d + 2)*(d + 6)
Solve -b**2/5 - 31*b/5 + 32/5 = 0.
-32, 1
Factor 5*p**3 - 174*p**2 + 1197*p + 5776.
(p - 19)**2*(5*p + 16)
Suppose b**5/6 - 5*b**4 + 34*b**3 - 161*b**2/3 + 49*b/2 = 0. Calculate b.
0, 1, 7, 21
Suppose 2*p**3/11 + 1930*p**2/11 - 3866*p/11 + 1934/11 = 0. What is p?
-967, 1
What is m in -338*m**4/23 - 104*m**3/23 + 330*m**2/23 + 104*m/23 + 8/23 = 0?
-1, -2/13, 1
What is d in -55*d**2 - 65*d - 10 = 0?
-1, -2/11
Suppose -3*a**3/7 + 4212*a**2/7 - 1971216*a/7 + 307509696/7 = 0. Calculate a.
468
Solve -16*s**4 + 16*s**3 + 28*s**2 + 8*s = 0.
-1/2, 0, 2
Determine x, given that -231*x**4/2 - 159*x**3 - 93*x**2/2 - 3*x = 0.
-1, -2/7, -1/11, 0
Find r such that r**2/2 + 14*r + 26 = 0.
-26, -2
Find l, given that 5*l**2 + 6365*l = 0.
-1273, 0
Suppos