en that -q**3/4 - 71*q**2/4 + 145*q/4 - 73/4 = 0.
-73, 1
Suppose 2*q**3/5 - 14*q**2/5 - 56*q/5 - 8 = 0. What is q?
-2, -1, 10
Factor -4*c**2 - 9208*c - 5299204.
-4*(c + 1151)**2
Let 5*y**2 + 262*y + 104 = 0. Calculate y.
-52, -2/5
Factor -4*t**3/5 - 4*t**2 - 24*t/5.
-4*t*(t + 2)*(t + 3)/5
Factor 2*w**2/7 - 380*w/7 + 54.
2*(w - 189)*(w - 1)/7
Determine h, given that 3*h**2 + 69*h - 150 = 0.
-25, 2
Factor 2*l**2 + 94*l.
2*l*(l + 47)
Suppose 2*q**3/13 - 30*q**2/13 - 522*q/13 + 550/13 = 0. What is q?
-11, 1, 25
Suppose 605*g**3 - 1320*g**2 + 225*g - 10 = 0. What is g?
1/11, 2
Factor 3*d**4/5 - 132*d**3 + 35634*d**2/5 + 14652*d + 36963/5.
3*(d - 111)**2*(d + 1)**2/5
What is c in 15*c**5 + 684*c**4 + 1704*c**3 + 1158*c**2 - 135*c - 258 = 0?
-43, -1, 2/5
Factor r**2/3 + 6*r - 19/3.
(r - 1)*(r + 19)/3
Determine o so that -2*o**4 + 10*o**3 - 16*o**2 + 8*o = 0.
0, 1, 2
Suppose -28*g**3 + 1440*g**2 - 19500*g + 25000 = 0. What is g?
10/7, 25
Factor -5*l**4 + 25*l**3 + 345*l**2 + 855*l + 540.
-5*(l - 12)*(l + 1)*(l + 3)**2
Solve a**2 - 79*a + 438 = 0.
6, 73
Let -3*a**3 - 546*a**2 - 1617*a - 1074 = 0. Calculate a.
-179, -2, -1
Suppose -2*f**4/5 + 14*f**3/5 + 34*f**2/5 + 18*f/5 = 0. What is f?
-1, 0, 9
What is d in -3*d**3/5 - 51*d**2/5 - 57*d - 105 = 0?
-7, -5
Determine o, given that 9*o**5 + 123*o**4 + 78*o**3 = 0.
-13, -2/3, 0
Suppose -5*s**3 - 2125*s**2 - 228935*s - 667815 = 0. What is s?
-211, -3
Factor 5*v**4 - 35*v**3 - 1050*v**2 + 1080*v.
5*v*(v - 18)*(v - 1)*(v + 12)
Factor r**3/6 - r**2/6 - r/6 + 1/6.
(r - 1)**2*(r + 1)/6
Factor -2*y**2/19 - 148*y/19 - 146/19.
-2*(y + 1)*(y + 73)/19
Let -h**4 - 31*h**3 - 109*h**2 - 21*h + 162 = 0. Calculate h.
-27, -3, -2, 1
Factor -3*v**3/5 + 2*v**2/5 + 37*v/5 + 12/5.
-(v - 4)*(v + 3)*(3*v + 1)/5
Determine m so that -4*m**5 - 4*m**4 + 136*m**3 + 256*m**2 - 384*m = 0.
-4, 0, 1, 6
Suppose -p**2/4 - 6*p - 20 = 0. Calculate p.
-20, -4
What is y in 5*y**3 + 3*y**2 - 32*y + 12 = 0?
-3, 2/5, 2
Factor 36*s**2 - 472*s + 436.
4*(s - 1)*(9*s - 109)
Factor 4*y**3/7 - 32*y**2/7 - 20*y + 168.
4*(y - 7)**2*(y + 6)/7
What is s in 11*s**4/4 - 103*s**3/4 + 105*s**2/2 = 0?
0, 3, 70/11
Factor 19*q**3 + 419*q**2 + 2321*q + 121.
(q + 11)**2*(19*q + 1)
Solve 4*n**3 + 528*n**2 + 500*n - 3144 = 0.
-131, -3, 2
Solve -2*z**5 - 4*z**4 + 70*z**3 + 216*z**2 - 216*z - 864 = 0 for z.
-4, -3, 2, 6
Factor 15*p**2 - 87*p + 108.
3*(p - 4)*(5*p - 9)
What is q in -75*q**4 - 150*q**3 - 93*q**2 - 18*q = 0?
-1, -3/5, -2/5, 0
Factor -4*c**3 - 236*c**2 - 3808*c - 9408.
-4*(c + 3)*(c + 28)**2
Let 12*o**3 + 4336*o**2 + 390236*o - 262088 = 0. What is o?
-181, 2/3
Determine y so that -y**2/3 - 818*y + 4912/3 = 0.
-2456, 2
Solve p**4/5 + 22*p**3/5 + 21*p**2/5 = 0 for p.
-21, -1, 0
Factor -2*d**2/7 - 22*d.
-2*d*(d + 77)/7
What is i in -2*i**4 + 2*i**3 + 18*i**2 + 22*i + 8 = 0?
-1, 4
Let 5*o**3 - 110*o**2 - 235*o - 120 = 0. What is o?
-1, 24
Solve -4*n**2/7 - 60*n/7 - 8 = 0.
-14, -1
Find p, given that 2*p**2/9 + 100*p/9 + 1250/9 = 0.
-25
Factor q**2/5 - 2*q/5 - 16.
(q - 10)*(q + 8)/5
Factor -2*c**3/3 + 22*c**2/3 + 188*c/3 + 272/3.
-2*(c - 17)*(c + 2)*(c + 4)/3
Suppose -3*j**2/5 + 2442*j/5 - 496947/5 = 0. Calculate j.
407
Let -14*t**2 + 8*t = 0. Calculate t.
0, 4/7
Suppose -2*t**4 + 30*t**3 + 66*t**2 + 34*t = 0. Calculate t.
-1, 0, 17
Factor -z**4/5 + 3*z**3/5 + 31*z**2/5 - 3*z/5 - 126/5.
-(z - 7)*(z - 2)*(z + 3)**2/5
Let 2*m**3/5 + 82*m**2/5 + 176*m + 160 = 0. What is m?
-20, -1
Determine s, given that 18*s**5/11 + 76*s**4/11 + 106*s**3/11 + 56*s**2/11 + 8*s/11 = 0.
-2, -1, -2/9, 0
Solve 3*i**4 - 1554*i**3 - 1563*i**2 + 3114*i = 0 for i.
-2, 0, 1, 519
Factor 7*p**3/6 - 3*p**2/2 + p/3.
p*(p - 1)*(7*p - 2)/6
Suppose 2*z**4/13 + 20*z**3/13 + 58*z**2/13 + 16*z/13 - 96/13 = 0. What is z?
-4, -3, 1
What is o in 2*o**2/9 + 406*o/9 + 268/3 = 0?
-201, -2
Determine v so that -27*v**3 + 147*v**2 - 252*v + 132 = 0.
1, 2, 22/9
Solve -49*q**4/4 - 4074*q**3 - 25519*q**2/4 - 2649*q - 331 = 0.
-331, -1, -2/7
Factor a**2 - 19*a - 150.
(a - 25)*(a + 6)
Suppose 75*v**5/4 + 255*v**4/2 + 153*v**3 - 231*v**2/2 - 735*v/4 = 0. What is v?
-5, -7/5, 0, 1
Factor 3*i**4 + 138*i**3 + 543*i**2 - 24012*i + 90828.
3*(i - 6)**2*(i + 29)**2
Factor 5*x**4 - 3*x**3 - 32*x**2 - 12*x.
x*(x - 3)*(x + 2)*(5*x + 2)
Factor -4*k**2 + 836*k.
-4*k*(k - 209)
Factor -2*t**3 + 1944*t**2 + 2*t - 1944.
-2*(t - 972)*(t - 1)*(t + 1)
What is q in -5*q**2 - 130*q + 135 = 0?
-27, 1
Factor -a**3/9 - 179*a**2/9 - 8099*a/9 - 7921/9.
-(a + 1)*(a + 89)**2/9
Factor h**3/5 + 22*h**2/5 - 56*h/5 - 192/5.
(h - 4)*(h + 2)*(h + 24)/5
Determine k so that 20*k**2 + 4*k - 192 = 0.
-16/5, 3
Factor 5*z**3 + 115*z**2 + 110*z.
5*z*(z + 1)*(z + 22)
Suppose p**2 - 1638*p + 670761 = 0. What is p?
819
Factor 2*p**3/19 + 16*p**2/19 + 26*p/19 + 12/19.
2*(p + 1)**2*(p + 6)/19
Determine g, given that -4*g**5 + 20*g**4 - 32*g**3 + 16*g**2 = 0.
0, 1, 2
Solve 2*f**2/3 - 92*f - 278/3 = 0 for f.
-1, 139
Factor j**3 + 139*j**2 - 282*j.
j*(j - 2)*(j + 141)
Solve -18*b**2 + 4*b = 0 for b.
0, 2/9
Factor 3*r**3 - 69*r**2 - 6195*r + 172725.
3*(r - 35)**2*(r + 47)
Suppose h**3/5 - 26*h**2 = 0. What is h?
0, 130
Factor 88*z**2/7 + 254*z/7 - 30/7.
2*(z + 3)*(44*z - 5)/7
Suppose 4*n**5/5 - 8*n**4 + 20*n**3 - 144*n/5 = 0. What is n?
-1, 0, 2, 3, 6
Factor -4*j**2 + 144*j + 1204.
-4*(j - 43)*(j + 7)
Factor -3*w**2/5 - 18*w/5 + 24.
-3*(w - 4)*(w + 10)/5
Factor -2*k**2/3 - 40*k/3.
-2*k*(k + 20)/3
Solve 5*k**2 + 34*k - 7 = 0 for k.
-7, 1/5
Find j, given that 5*j**2 + 830*j - 1680 = 0.
-168, 2
Find z such that -3*z**5 + 193*z**4 - 1303*z**3/3 + 53*z**2/3 + 556*z/3 + 124/3 = 0.
-1/3, 1, 2, 62
Suppose -4*b**3/3 - 4*b**2/3 = 0. Calculate b.
-1, 0
Factor h**3 - 825*h**2 + 226875*h - 20796875.
(h - 275)**3
What is l in 12*l**4 - 63*l**3 - 189*l**2 + 303*l - 63 = 0?
-3, 1/4, 1, 7
Determine f so that -3*f**5 + 15*f**4 + 39*f**3 + 21*f**2 = 0.
-1, 0, 7
Factor -28*q**4 + 60*q**3 - 8*q**2.
-4*q**2*(q - 2)*(7*q - 1)
Suppose -h**4 - 7*h**3 - 14*h**2 - 8*h = 0. Calculate h.
-4, -2, -1, 0
Factor -3*a**2/2 + 3*a/4.
-3*a*(2*a - 1)/4
Find a, given that -3*a**2 - 5082*a - 5079 = 0.
-1693, -1
Determine t, given that -5*t**2 + 44840*t - 100531280 = 0.
4484
What is q in q**4/5 + 307*q**3/5 + 23406*q**2/5 - 24332*q/5 - 47432/5 = 0?
-154, -1, 2
Factor -4*a**4 - 172*a**3 - 2304*a**2 - 9072*a.
-4*a*(a + 7)*(a + 18)**2
Let 15*i**3 + 21*i**2 + 6*i = 0. Calculate i.
-1, -2/5, 0
Find c, given that 16*c**2/5 - 18*c = 0.
0, 45/8
Factor -k**4 + 3*k**3 + 3*k**2 - 7*k - 6.
-(k - 3)*(k - 2)*(k + 1)**2
Factor 3*q**3/5 + 39*q**2/5 + 168*q/5 + 48.
3*(q + 4)**2*(q + 5)/5
Let -3*r**5 + 15*r**4 - 15*r**3 - 15*r**2 + 18*r = 0. What is r?
-1, 0, 1, 2, 3
Factor 5184*m**3 + 6624*m**2 + 2820*m + 400.
4*(9*m + 4)*(12*m + 5)**2
Let 4*n**3 + 10*n**2 - 22*n + 8 = 0. What is n?
-4, 1/2, 1
Suppose -3*x**2 - 84*x = 0. Calculate x.
-28, 0
Find i such that -i**4/2 - 55*i**3/2 + 988*i**2 - 960*i = 0.
-80, 0, 1, 24
Solve -2*t**2 + 432*t - 23328 = 0.
108
Let -21*n**5/5 + 348*n**4 - 4854*n**3/5 + 4332*n**2/5 - 957*n/5 - 48 = 0. Calculate n.
-1/7, 1, 80
Factor -l**3/2 + 69*l**2/2 + 141*l/2 + 71/2.
-(l - 71)*(l + 1)**2/2
Find j such that -12*j**3 + 32*j**2 + 20*j - 24 = 0.
-1, 2/3, 3
Factor 2*q**3/9 - 88*q**2/9 + 466*q/9 - 380/9.
2*(q - 38)*(q - 5)*(q - 1)/9
Suppose 4*v**3 - 288*v**2 + 564*v - 280 = 0. Calculate v.
1, 70
Suppose 2*x**3 + 12*x**2 - 200*x + 336 = 0. What is x?
-14, 2, 6
Suppose d**2/5 + 17*d/5 + 52/5 = 0. Calculate d.
-13, -4
Solve -f**5/4 + 7*f**4/4 - 3*f**3/2 = 0.
0, 1, 6
Determine o so that 148*o**3/7 - 66*o**2/7 - 4*o/7 = 0.
-2/37, 0, 1/2
Find r such that 2*r**3/7 + 7136*r**2/7 + 908310*r - 1820700 = 0.
-1785, 2
Find p such that 34596*p**2 - 7440*p + 400 = 0.
10/93
Factor c**2/2 - 729*c + 1457/2.
(c - 1457)*(c - 1)/2
Determine a so that -15*a**4 - 2570*a**3 - 840*a**2 + 2570*a + 855 = 0.
-171, -1, -1/3, 1
Find f such that -7*f**5/3 + 16*f**4/3 + 17*f**3/3 - 62*f**2/3 + 44*f/3 - 8/3 = 0.
-2, 2/7, 1, 2
Factor q**4 - 135*q**3 - 551*q**2 - 693*q - 278.
(q - 139)*(q + 1)**2*(q + 2)
Determine j, given that -9*j**4/4 - 15*j**3/2 + 87*j**2/4 + 12*j - 15 = 0.
-5, -1, 2/3, 2
Factor 2*y**2/5 - 956*y/5.
2*y*(y - 478)/5
Factor a**5/6 + 4*a**4/3 + 10*a**3/3 + 8*a**2/3.
a**2*(a + 2)**2*(a + 4)/6
Find o, given that 5*