-6, -1
Let b**3 - b**2 - b + 1 = 0. Calculate b.
-1, 1
Let 2*j**2 + 4664*j + 2719112 = 0. Calculate j.
-1166
Factor 2*r**2/13 - 268*r/13 - 270/13.
2*(r - 135)*(r + 1)/13
Let -h**3/3 + 17*h**2/3 - 9*h - 15 = 0. Calculate h.
-1, 3, 15
Factor j**2/3 - 122*j/3 + 121/3.
(j - 121)*(j - 1)/3
Solve -35*s**3 - 220*s**2 - 235*s - 50 = 0.
-5, -1, -2/7
Determine r so that -3*r**2 + 7248*r - 4377792 = 0.
1208
Determine j, given that 2*j**2/7 + 84*j + 1168/7 = 0.
-292, -2
Factor 5*a**2 + 460*a - 1425.
5*(a - 3)*(a + 95)
Solve -2*s**3/9 + 26*s**2/9 - 8*s/3 = 0.
0, 1, 12
Find i such that -4*i**5 + 68*i**4 + 184*i**3 - 536*i**2 - 1332*i - 684 = 0.
-3, -1, 3, 19
Factor -2*g**3 + 12*g**2 - 24*g + 16.
-2*(g - 2)**3
Factor 5*l**3/3 - 680*l**2/3.
5*l**2*(l - 136)/3
Let 2*t**4/17 - 266*t**3/17 + 1288*t**2/17 - 1024*t/17 = 0. Calculate t.
0, 1, 4, 128
Factor 4*o**3 - 6316*o**2 + 2496396*o - 2490084.
4*(o - 789)**2*(o - 1)
Factor -2*s**3/3 - 562*s**2/9 + 188*s/9.
-2*s*(s + 94)*(3*s - 1)/9
Suppose -4*s**2 + 4*s + 1088 = 0. What is s?
-16, 17
Find f, given that -2*f**3/7 - 12*f**2/7 - 10*f/7 = 0.
-5, -1, 0
Suppose 3*r**2 - 63*r - 138 = 0. Calculate r.
-2, 23
Let -4*m**4 + 624*m**3 - 17296*m**2 - 549120*m - 3097600 = 0. Calculate m.
-10, 88
Factor 2*l**2 + 120*l + 1800.
2*(l + 30)**2
Factor -c**3/6 - 41*c**2/3 - 2201*c/6 - 9610/3.
-(c + 20)*(c + 31)**2/6
Factor l**5/6 + l**4/6 - l**3/2 - 5*l**2/6 - l/3.
l*(l - 2)*(l + 1)**3/6
Solve -4*h**4 + 32*h**3 + 196*h**2 - 992*h - 4032 = 0 for h.
-4, 7, 9
Determine j so that 2*j**2/3 - 656*j/3 + 53792/3 = 0.
164
Factor -1805*c**2/4 - 570*c - 180.
-5*(19*c + 12)**2/4
Factor -g**3 + 14*g**2 - 24*g.
-g*(g - 12)*(g - 2)
Factor -2*v**4/3 + 6*v**3 + 20*v**2/3.
-2*v**2*(v - 10)*(v + 1)/3
Factor -n**2 - 505*n + 506.
-(n - 1)*(n + 506)
Factor -3*a**2/4 + 3087*a/2 - 3176523/4.
-3*(a - 1029)**2/4
Factor p**4/2 + 1323*p**3/2 + 438243*p**2/2 + 436921*p/2.
p*(p + 1)*(p + 661)**2/2
Suppose 2*m**2 + 44*m + 224 = 0. What is m?
-14, -8
Solve 16*q**3/11 + 78*q**2/11 + 86*q/11 - 12/11 = 0.
-3, -2, 1/8
Find i, given that -3*i**5/7 + 24*i**4/7 + 9*i**3/7 - 66*i**2/7 - 48*i/7 = 0.
-1, 0, 2, 8
Factor 3*x**4/8 - 3*x**3/8 - 9*x**2/2 + 21*x/2 - 6.
3*(x - 2)**2*(x - 1)*(x + 4)/8
Factor -p**4 + 68*p**3 - 612*p**2 - 21440*p + 44800.
-(p - 40)**2*(p - 2)*(p + 14)
Factor 4*j**5 + 21*j**4 + 5*j**3.
j**3*(j + 5)*(4*j + 1)
Factor 3*k**4/2 - 108*k**3 + 1716*k**2 + 8208*k + 8664.
3*(k - 38)**2*(k + 2)**2/2
Factor 4*b**2 - 4924*b + 4920.
4*(b - 1230)*(b - 1)
Find f such that -28*f**5 - 36*f**4 - 8*f**3 = 0.
-1, -2/7, 0
Factor -c**2/5 - 104*c/5.
-c*(c + 104)/5
Solve 2*j**3/11 - 28*j**2/11 + 128*j/11 - 192/11 = 0.
4, 6
Let c**4/3 - 89*c**3/3 + 509*c**2 + 20825*c/3 + 19208/3 = 0. What is c?
-8, -1, 49
Determine s so that -10*s**2/3 + 2896*s/3 = 0.
0, 1448/5
Find c, given that 2*c**4 - 2380*c**3 - 11934*c**2 - 19112*c - 9560 = 0.
-2, -1, 1195
Determine l so that -3*l**2/5 - 6*l/5 + 9/5 = 0.
-3, 1
Solve -3*a**4 + 123*a**3 - 1314*a**2 + 960*a + 2400 = 0.
-1, 2, 20
Solve 4*o**5 - 28*o**4 + 60*o**3 - 20*o**2 - 64*o + 48 = 0.
-1, 1, 2, 3
Factor 2*b**2/5 - 6*b.
2*b*(b - 15)/5
Factor -35*a**2 + 10*a.
-5*a*(7*a - 2)
Solve k**4/2 + 12*k**3 - 107*k**2/2 + 69*k - 28 = 0.
-28, 1, 2
Factor -v**3 - 412*v**2 - 42436*v.
-v*(v + 206)**2
Factor 5*m**3 - 20*m**2 - 5*m + 20.
5*(m - 4)*(m - 1)*(m + 1)
Factor -1060*o**2 + 1058*o + 2.
-2*(o - 1)*(530*o + 1)
Factor -3*k**2 - 168*k.
-3*k*(k + 56)
Let -2*m**2 + 2184*m - 6534 = 0. What is m?
3, 1089
Factor v**2/4 + 113*v/2 - 227/4.
(v - 1)*(v + 227)/4
Let 2*p**4 + 10*p**3 - 8*p**2 - 40*p = 0. What is p?
-5, -2, 0, 2
Determine a, given that -3*a**2/8 + 1329*a/4 + 1335 = 0.
-4, 890
Solve 35*g**5/4 - 81*g**4/4 - 52*g**3 - 27*g**2 - 4*g = 0 for g.
-1, -2/5, -2/7, 0, 4
Factor v**2/4 + 155*v/4.
v*(v + 155)/4
Suppose 4*v**3 + 111*v**2/2 + 189*v - 49/2 = 0. Calculate v.
-7, 1/8
Factor -t**2/2 - 9*t/2 - 7.
-(t + 2)*(t + 7)/2
Suppose -4*z**3 - 768*z**2 = 0. Calculate z.
-192, 0
Factor 5*v**5 - 10*v**4 - 20*v**3 + 40*v**2.
5*v**2*(v - 2)**2*(v + 2)
Factor -w**5/2 + 4*w**4 + 10*w**3 + w**2 - 19*w/2 - 5.
-(w - 10)*(w - 1)*(w + 1)**3/2
Factor 5*c**3 + 5*c**2 - 20*c - 20.
5*(c - 2)*(c + 1)*(c + 2)
Suppose -18*d**4/11 - 104*d**3/11 + 312*d**2/11 - 64*d/11 = 0. Calculate d.
-8, 0, 2/9, 2
Solve 4*p**3 + 284*p**2 - 2160*p + 1872 = 0 for p.
-78, 1, 6
Factor -2*g**2/15 + 2*g/15 + 116.
-2*(g - 30)*(g + 29)/15
Factor 4*s**2 + 8*s - 6396.
4*(s - 39)*(s + 41)
What is t in 6*t**5/17 - 74*t**4/17 + 336*t**3/17 - 40*t**2 + 576*t/17 - 128/17 = 0?
1/3, 2, 4
Factor -2*m**2/19 - 212*m/19 + 214/19.
-2*(m - 1)*(m + 107)/19
Factor 4*y**2/9 - 2464*y + 3415104.
4*(y - 2772)**2/9
Factor 5*l**3 - 20*l**2 - 100*l + 240.
5*(l - 6)*(l - 2)*(l + 4)
Factor -i**2 - 3783*i + 3784.
-(i - 1)*(i + 3784)
Factor -3*s**3/8 + 9*s**2/4 + 3*s/2 - 9.
-3*(s - 6)*(s - 2)*(s + 2)/8
Determine j so that j**3/2 + 295*j**2/2 - 1797*j/2 + 2709/2 = 0.
-301, 3
Suppose 5*j**2 - 255*j - 260 = 0. Calculate j.
-1, 52
Determine k so that 10*k**2/23 + 6*k/23 - 4/23 = 0.
-1, 2/5
Suppose 3*r**3 + 189*r**2 + 2880*r - 3072 = 0. Calculate r.
-32, 1
Suppose 2*x**2 + 54*x + 100 = 0. What is x?
-25, -2
Factor 7*w**5 - 109*w**4 + 603*w**3 - 1431*w**2 + 1242*w.
w*(w - 3)**3*(7*w - 46)
Factor -o**3 - 321*o**2 - 25920*o - 25600.
-(o + 1)*(o + 160)**2
Suppose n**2/3 + 14*n/3 + 11 = 0. Calculate n.
-11, -3
Factor -5*s**4 - 30*s**3 + 125*s**2 - 90*s.
-5*s*(s - 2)*(s - 1)*(s + 9)
What is b in 4*b**4 - 892*b**3 + 884*b**2 + 892*b - 888 = 0?
-1, 1, 222
Determine y, given that 3*y**3 + 696*y**2 = 0.
-232, 0
Suppose -c**4/2 + 19*c**3/8 - 19*c**2/8 - 3*c/4 = 0. Calculate c.
-1/4, 0, 2, 3
Let -2*x**2 + 2396*x - 717602 = 0. What is x?
599
Factor -y**4/3 + 35*y**3/3 - 179*y**2/3 + 145*y/3.
-y*(y - 29)*(y - 5)*(y - 1)/3
Let -k**3/4 + k**2/2 + 7*k/4 + 1 = 0. What is k?
-1, 4
Determine m so that -10*m**4 - 15*m**3 + 40*m**2 + 60*m = 0.
-2, -3/2, 0, 2
Determine a so that -10*a**5 + 216*a**4 + 5488*a**3/5 + 5964*a**2/5 + 1762*a/5 + 156/5 = 0.
-3, -1, -1/5, 26
Factor -4*l**3 + 8*l**2 - 4*l.
-4*l*(l - 1)**2
Factor -3*b**2 - 15*b + 42.
-3*(b - 2)*(b + 7)
Suppose 2*l**2 + 806*l - 2436 = 0. Calculate l.
-406, 3
Factor o**4/5 + 12*o**3/5 + 11*o**2/5.
o**2*(o + 1)*(o + 11)/5
Let -25*w**2 + 90*w - 80 = 0. What is w?
8/5, 2
Factor -3*n**2 - 549*n/5 + 222/5.
-3*(n + 37)*(5*n - 2)/5
Factor -p**3/8 - p**2 - 17*p/8 - 5/4.
-(p + 1)*(p + 2)*(p + 5)/8
Factor -v**2/6 - 6166*v/3 - 19009778/3.
-(v + 6166)**2/6
Let 20*n**4 + 6465*n**3 + 520015*n**2 - 395280*n - 131220 = 0. Calculate n.
-162, -1/4, 1
Determine j so that 26*j**2/9 + 4*j/3 = 0.
-6/13, 0
Factor -i**3/3 - 25*i**2/3 - 56*i - 48.
-(i + 1)*(i + 12)**2/3
Factor -15*c**4 + 140*c**3 - 315*c**2 + 90*c.
-5*c*(c - 6)*(c - 3)*(3*c - 1)
Factor -z**4/2 - 12*z**3 + 13*z**2 + 12*z - 25/2.
-(z - 1)**2*(z + 1)*(z + 25)/2
Solve 4*q**5 + 452*q**4/3 + 5012*q**3/3 + 4788*q**2 + 14416*q/3 + 4624/3 = 0.
-17, -2, -1, -2/3
Factor x**4 - 10*x**3 + 17*x**2 - 8*x.
x*(x - 8)*(x - 1)**2
Factor -s**3/6 + 145*s**2/6 - 1375*s/6 + 1125/2.
-(s - 135)*(s - 5)**2/6
Factor -18*j**3 - 21*j**2 + 33*j + 6.
-3*(j - 1)*(j + 2)*(6*j + 1)
Let 3*i**5/4 - i**4/2 - 5*i**3/2 + 7*i/4 + 1/2 = 0. What is i?
-1, -1/3, 1, 2
Factor 8*n**3 - 84*n**2 + 112*n - 36.
4*(n - 9)*(n - 1)*(2*n - 1)
Factor -3*g**2/5 + 1464*g/5 - 178608/5.
-3*(g - 244)**2/5
Factor -4624*t**4/3 - 11152*t**3/3 - 2876*t**2 - 2296*t/3 - 196/3.
-4*(t + 1)**2*(34*t + 7)**2/3
Factor -5*j**2 + 30*j.
-5*j*(j - 6)
Factor 14*p**4 + 32*p**3 - 34*p**2 - 12*p.
2*p*(p - 1)*(p + 3)*(7*p + 2)
Solve n**4/6 + 10*n**3/3 + 5*n**2/2 - 40*n/3 - 38/3 = 0.
-19, -2, -1, 2
Suppose -4*c**5 - 78*c**4 - 272*c**3 + 1036*c**2 - 924*c + 242 = 0. Calculate c.
-11, 1/2, 1
Find c, given that -3*c**3 - 215*c**2 - 427*c/3 - 71/3 = 0.
-71, -1/3
Factor -l**3/4 + 11*l**2 - 125*l/4 + 41/2.
-(l - 41)*(l - 2)*(l - 1)/4
Find u such that 2*u**4/11 + 64*u**3/11 + 570*u**2/11 + 1900*u/11 + 2000/11 = 0.
-20, -5, -2
Let -5*d**3 - 1610*d**2 - 4785*d = 0. What is d?
-319, -3, 0
What is d in -d**3 - 127*d**2 = 0?
-127, 0
Factor -2*u**3/7 + 776*u**2/7 - 762*u/7 - 4644/7.
-2*(u - 387)*(u - 3)*(u + 2)/7
Find a, given that -7*a**4/3 + 100*a**3/3 - 203*a**2/3 + 134*a/3 - 8 = 0.
2/7, 1, 12
Factor -4*b**2/7 + 904*b/7 - 2676/7.
-4*(b - 223)*