, -1, 2
Suppose -6*t**4 - 112*t**3 - 70*t**2 + 36*t = 0. Calculate t.
-18, -1, 0, 1/3
Factor -5*n**2 - 325*n - 1220.
-5*(n + 4)*(n + 61)
Factor u**3 + 20*u**2 - 187*u - 4046.
(u - 14)*(u + 17)**2
Solve 3*d**5/2 - 3*d**4/2 - 3*d**3 = 0.
-1, 0, 2
Factor 4*w**3 + 8764*w**2 + 4796096*w - 4804864.
4*(w - 1)*(w + 1096)**2
Factor 801*g**2 + 3999*g - 30.
3*(g + 5)*(267*g - 2)
Let -4*u**2 - 12*u + 16 = 0. What is u?
-4, 1
Determine r, given that 54*r**3/5 + 968*r**2/5 + 4248*r/5 - 64 = 0.
-10, -8, 2/27
Suppose -5*u**2 + 150*u = 0. Calculate u.
0, 30
Suppose -125*l**5/7 - 14425*l**4/7 - 564290*l**3/7 - 1119582*l**2 - 2005479*l - 964467 = 0. Calculate l.
-189/5, -1
Factor 2*x**4/9 + 3524*x**3/9 + 518614*x**2/3 + 3101120*x/9 + 1548800/9.
2*(x + 1)**2*(x + 880)**2/9
Determine x so that -x**5 - 5*x**4 + 21*x**3 - 23*x**2 + 8*x = 0.
-8, 0, 1
Solve 3*o**4/4 - 57*o**3/4 + 189*o**2/2 - 243*o + 162 = 0.
1, 6
Factor -p**5/2 - 2*p**4 - 3*p**3 - 2*p**2 - p/2.
-p*(p + 1)**4/2
Factor -55*h**2 + 870*h + 160.
-5*(h - 16)*(11*h + 2)
Factor 2*w**4/9 + 22*w**3/3 + 90*w**2 + 486*w + 972.
2*(w + 6)*(w + 9)**3/9
Suppose -4*u**4 + 100*u**3 - 156*u**2 - 628*u - 368 = 0. Calculate u.
-1, 4, 23
Factor 5*f**4/4 - 25*f**3/4 + 10*f**2 - 5*f.
5*f*(f - 2)**2*(f - 1)/4
Factor -y**3 - 111*y**2 - 3135*y - 3025.
-(y + 1)*(y + 55)**2
Determine r so that 2*r**3 + 68*r**2 + 606*r + 540 = 0.
-18, -15, -1
Factor r**4/3 + 19*r**3/3 - 70*r**2/3 - 88*r/3.
r*(r - 4)*(r + 1)*(r + 22)/3
Solve 2*v**2/19 - 24*v/19 - 56/19 = 0.
-2, 14
Find b such that b**2/6 - 64*b/3 - 131/2 = 0.
-3, 131
Factor 3*y**3 - 2859*y**2 + 2856*y.
3*y*(y - 952)*(y - 1)
Factor -9*g**3/5 - 93*g**2/5 + 66*g/5.
-3*g*(g + 11)*(3*g - 2)/5
Solve 4*f**5 - 8*f**4 - 60*f**3 - 16*f**2 + 80*f = 0 for f.
-2, 0, 1, 5
Factor -n**3 - 386*n**2 - 769*n - 384.
-(n + 1)**2*(n + 384)
Factor 5*v**2 - 6395*v + 12770.
5*(v - 1277)*(v - 2)
Let -3*b**4/4 - 3*b**3/2 + 57*b**2/4 + 15*b = 0. What is b?
-5, -1, 0, 4
Suppose -2*v**5/9 - 82*v**4/3 - 2480*v**3/3 + 7688*v**2/9 = 0. Calculate v.
-62, 0, 1
Determine f, given that f**2/6 + 37*f/3 + 1369/6 = 0.
-37
Determine u so that -2*u**5/17 - 18*u**4/17 - 38*u**3/17 - 6*u**2/17 + 40*u/17 + 24/17 = 0.
-6, -2, -1, 1
Factor -2*z**3/7 + 68*z**2/7 - 542*z/7 - 612/7.
-2*(z - 18)*(z - 17)*(z + 1)/7
Determine o, given that 16*o**5 - 1504*o**4 + 4404*o**3 - 3284*o**2 + 728*o = 0.
0, 1/2, 2, 91
Factor -3*x**2 + 189*x.
-3*x*(x - 63)
Suppose -w**3 + 18*w**2 + 21*w - 38 = 0. What is w?
-2, 1, 19
Let j**2/7 + 439*j/7 + 1308/7 = 0. What is j?
-436, -3
Determine h, given that -3*h**4 - 108*h**3 - 1074*h**2 - 1836*h - 867 = 0.
-17, -1
Factor -8*m**3/5 + 59*m**2/5 + 43*m/5 - 24/5.
-(m - 8)*(m + 1)*(8*m - 3)/5
Suppose 4*v**4/5 + 22*v**3/5 - 16*v**2/5 - 22*v/5 + 12/5 = 0. What is v?
-6, -1, 1/2, 1
Factor m**4/4 + 3*m**3/2 + 3*m**2/4 - 5*m/2.
m*(m - 1)*(m + 2)*(m + 5)/4
Factor -8192*y**3 - 4608*y**2 - 864*y - 54.
-2*(16*y + 3)**3
Find w such that -2*w**5/13 + 4*w**4/13 + 4*w**3/13 - 8*w**2/13 - 2*w/13 + 4/13 = 0.
-1, 1, 2
Solve 4*k**3 - 24*k**2 = 0.
0, 6
Factor 5*t**5 - 45*t**4 + 140*t**3 - 180*t**2 + 80*t.
5*t*(t - 4)*(t - 2)**2*(t - 1)
Factor l**5/2 - l**4 - 5*l**3/2 + 3*l**2.
l**2*(l - 3)*(l - 1)*(l + 2)/2
Factor -2*j**2 + 4*j.
-2*j*(j - 2)
Factor -25*d**3/3 - 455*d**2/3 - 768*d - 1188.
-(d + 11)*(5*d + 18)**2/3
Factor l**3 + 15*l**2 - 58*l - 72.
(l - 4)*(l + 1)*(l + 18)
What is w in -3*w**4 + 33*w**3 - 27*w**2 - 33*w + 30 = 0?
-1, 1, 10
Factor 6*n**3 + 8*n**2 - 178*n - 60.
2*(n - 5)*(n + 6)*(3*n + 1)
Factor -2*c**2 + 144*c - 792.
-2*(c - 66)*(c - 6)
Let 5*j**3/4 - 10*j**2 + 105*j/4 - 45/2 = 0. What is j?
2, 3
Find x such that -14*x**5 - 88*x**4 - 66*x**3 + 352*x**2 + 440*x + 96 = 0.
-4, -3, -1, -2/7, 2
Solve 3*v**5/7 - 3*v**4 - 279*v**3/7 + 1269*v**2/7 + 7776*v/7 - 8748/7 = 0.
-6, 1, 9
Factor -4*c**4 + 12*c**3 + 4*c**2 - 12*c.
-4*c*(c - 3)*(c - 1)*(c + 1)
Find a, given that 5*a**2 - 40*a - 100 = 0.
-2, 10
Factor 2*c**3/7 - 36*c**2/7 + 90*c/7.
2*c*(c - 15)*(c - 3)/7
Solve -g**2/2 - 30*g = 0 for g.
-60, 0
Determine z so that 68*z**5 - 8*z**4 - 272*z**3 + 32*z**2 = 0.
-2, 0, 2/17, 2
Factor -5*x**3 - 19995*x**2 - 19980000*x + 20000000.
-5*(x - 1)*(x + 2000)**2
Find x, given that -5*x**5 - 20*x**4 + 50*x**2 + 5*x - 30 = 0.
-3, -2, -1, 1
Solve t**5 - 7*t**4 + 10*t**3 + 2*t**2 - 11*t + 5 = 0.
-1, 1, 5
Factor -2*p**2 + 520*p.
-2*p*(p - 260)
Factor 4*p**2/3 - 104*p - 1440.
4*(p - 90)*(p + 12)/3
Factor 3*u**2/5 + 192*u/5 - 396/5.
3*(u - 2)*(u + 66)/5
Suppose 15*j**4 + 402*j**3 - 936*j**2 + 606*j - 87 = 0. Calculate j.
-29, 1/5, 1
Find l, given that -l**4 + 9*l**3 + l**2 - 9*l = 0.
-1, 0, 1, 9
Determine f, given that 2*f**3/5 + 22*f**2/5 + 38*f/5 + 18/5 = 0.
-9, -1
Factor -4*o**3 - 512*o**2 - 12412*o - 11904.
-4*(o + 1)*(o + 31)*(o + 96)
Suppose -3*p**3/4 + 327*p**2 - 141255*p/4 - 143883/2 = 0. What is p?
-2, 219
Factor 2*z**5/5 - 6*z**4/5 + 4*z**3/5.
2*z**3*(z - 2)*(z - 1)/5
Factor 4*s**4 - 40*s**3 + 92*s**2 - 56*s.
4*s*(s - 7)*(s - 2)*(s - 1)
Suppose 3*l**4/2 + 6195*l**3/2 + 3096*l**2 = 0. What is l?
-2064, -1, 0
Find r, given that -r**2/8 - 605*r/8 - 151/2 = 0.
-604, -1
Factor -4*b**3 - 200*b**2 + 212*b + 408.
-4*(b - 2)*(b + 1)*(b + 51)
Find u such that u**2/6 + 398*u/3 - 797/6 = 0.
-797, 1
Solve -b**2 - 76*b - 148 = 0 for b.
-74, -2
Determine q so that -q**3 - 57*q**2 - 212*q = 0.
-53, -4, 0
Suppose 3*x**3 - 6*x**2 - 9*x = 0. What is x?
-1, 0, 3
Factor -i**5/5 - 16*i**4/5 - 9*i**3 + 162*i**2/5.
-i**2*(i - 2)*(i + 9)**2/5
Suppose 2*j**2/3 - 44*j/3 - 90 = 0. Calculate j.
-5, 27
Solve -3*n**2 + 192*n - 372 = 0 for n.
2, 62
Factor 2*y**3 - 1064*y**2 + 141512*y.
2*y*(y - 266)**2
What is a in 4*a**3 - 180*a**2 - 388*a + 564 = 0?
-3, 1, 47
Factor 3*c**2/2 - 81*c/2.
3*c*(c - 27)/2
Factor -23*s**2/6 + 7*s/2 + 1/3.
-(s - 1)*(23*s + 2)/6
Determine h, given that -5*h**2 + 125*h - 500 = 0.
5, 20
Factor -2*m**3/11 - 94*m**2/11 - 174*m/11 + 270/11.
-2*(m - 1)*(m + 3)*(m + 45)/11
Solve -133*y**4 - 311*y**3 - 92*y**2 - 4*y = 0.
-2, -2/7, -1/19, 0
Factor -16*n**5 - 16*n**4 + 476*n**3 + 1176*n**2.
-4*n**2*(n - 6)*(2*n + 7)**2
Find t such that t**3/5 + 6*t**2/5 - 7*t/5 = 0.
-7, 0, 1
Factor s**2/7 + 3*s - 22/7.
(s - 1)*(s + 22)/7
Factor -2*j**5/5 - 2*j**4/5 + 2*j**3/5 + 2*j**2/5.
-2*j**2*(j - 1)*(j + 1)**2/5
Determine q so that 3*q**4 - 9*q**3 + 6*q**2 = 0.
0, 1, 2
Let -4*j**2 - 196*j + 2928 = 0. What is j?
-61, 12
Solve -4*b**2 - 40*b + 44 = 0 for b.
-11, 1
Factor -x**2/3 - 31*x/3.
-x*(x + 31)/3
Suppose -14*h**3/5 - 172*h**2/15 + 194*h/15 + 4/3 = 0. What is h?
-5, -2/21, 1
Find l, given that -l**5/5 - 24*l**4/5 + 2*l**3/5 + 48*l**2/5 - l/5 - 24/5 = 0.
-24, -1, 1
Factor 5*b**3 - 370*b**2 + 2700*b - 3960.
5*(b - 66)*(b - 6)*(b - 2)
Suppose -a**4 - 16*a**3 - 24*a**2 + 320*a - 400 = 0. Calculate a.
-10, 2
Suppose 412*t**2 + 4524*t - 88 = 0. Calculate t.
-11, 2/103
Factor 2*m**5/9 + 76*m**4 - 686*m**3/9.
2*m**3*(m - 1)*(m + 343)/9
Factor 3*w**2/4 + 51*w/4 - 45.
3*(w - 3)*(w + 20)/4
Find t, given that -2*t**2/9 - 20*t/9 - 32/9 = 0.
-8, -2
Factor -5*h**2 - 4015*h + 4020.
-5*(h - 1)*(h + 804)
Factor g**4/5 - 3*g**3 + 83*g**2/5 - 201*g/5 + 36.
(g - 5)*(g - 4)*(g - 3)**2/5
Solve 2*r**4 - 68*r**3 + 698*r**2 - 2040*r + 1800 = 0.
2, 15
Factor z**5/4 - 5*z**4/4 - 9*z**3/4 + 45*z**2/4.
z**2*(z - 5)*(z - 3)*(z + 3)/4
Factor -5*k**2/4 + 35*k/4 - 15/2.
-5*(k - 6)*(k - 1)/4
Factor 8*a**2/5 - 130*a + 162/5.
2*(a - 81)*(4*a - 1)/5
Factor -441*i**3 - 84*i**2 - 4*i.
-i*(21*i + 2)**2
Factor d**2/4 - 32*d + 2071/4.
(d - 109)*(d - 19)/4
Find r, given that 52728*r**3 + 188604*r**2 + 224874*r + 89373 = 0.
-31/26
Let 2*t**3/3 - 18*t**2 + 144*t - 288 = 0. Calculate t.
3, 12
Factor -v**3/9 - 34*v**2/9 - 275*v/9 - 242/9.
-(v + 1)*(v + 11)*(v + 22)/9
Find d such that -2*d**2 - 2*d + 312 = 0.
-13, 12
Solve 2*n**4 - 78*n**3 - 178*n**2 + 582*n - 328 = 0.
-4, 1, 41
Solve k**2/2 + 3*k/2 - 2 = 0 for k.
-4, 1
Factor 3*j**2 - 117*j/2 - 30.
3*(j - 20)*(2*j + 1)/2
Determine p, given that -p**4/5 + 3*p**3/5 + 21*p**2/5 - 43*p/5 - 12 = 0.
-4, -1, 3, 5
Solve 4*v**4 - 2612*v**3/7 - 7320*v**2/7 + 2304*v/7 = 0.
-3, 0, 2/7, 96
Suppose g**2/3 + 44*g + 1452 = 0. What is g?
-66
Suppose 5*j**2 + 1425*j = 0. Calculate j.
-285, 0
Let 9*c**5 + 48*c**4 + 84*c**3 + 48*c**2 = 0. What is c?
-2, -4/3, 0
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