35, 103
Factor -v**3/5 - 459*v**2/5 + 462*v/5 + 184.
-(v - 2)*(v + 1)*(v + 460)/5
Solve 4*o**5 + 92*o**4 - 420*o**3 + 340*o**2 + 416*o - 432 = 0.
-27, -1, 1, 2
Find h such that -h**3/6 + 5*h**2 + 31*h/6 = 0.
-1, 0, 31
Solve 12*i**4 + 3224*i**3 - 4316*i**2 + 1080*i = 0.
-270, 0, 1/3, 1
Factor -26*i**3 - 2*i**2 + 24*i.
-2*i*(i + 1)*(13*i - 12)
Factor 224*m**3 + 624*m**2 - 146*m - 6.
2*(m + 3)*(4*m - 1)*(28*m + 1)
Let -4*t**5/7 - 4*t**4/7 + 12*t**3/7 + 4*t**2/7 - 8*t/7 = 0. Calculate t.
-2, -1, 0, 1
Factor 4*b**2/7 - 76*b/7 + 192/7.
4*(b - 16)*(b - 3)/7
Find c, given that 11*c**2 - 3*c = 0.
0, 3/11
Solve u**5/4 + u**4/4 - 11*u**3/4 + 7*u**2/4 + 5*u/2 - 2 = 0 for u.
-4, -1, 1, 2
Find y, given that -8*y**2 - 250*y - 62 = 0.
-31, -1/4
Find p, given that -18*p**5/13 - 14874*p**4/13 - 3060302*p**3/13 + 5130290*p**2/13 - 2397888*p/13 + 342792/13 = 0.
-414, 1/3, 1
Find m, given that -m**3 - 5*m**2 - 2*m + 8 = 0.
-4, -2, 1
Determine g, given that -8*g**4 + 346*g**3 + 282*g**2 - 796*g + 176 = 0.
-2, 1/4, 1, 44
Suppose -q**4/3 + 47*q**3/3 - 176*q**2 + 1472*q/3 + 2048/3 = 0. What is q?
-1, 8, 32
Factor 2*a**2 + 66*a.
2*a*(a + 33)
Find h such that -2*h**2/9 - 28*h/9 = 0.
-14, 0
Suppose -m**4/6 - m**3/2 + m**2/6 + m/2 = 0. What is m?
-3, -1, 0, 1
Solve 2*y**4/13 + 2*y**3 = 0 for y.
-13, 0
Factor -4*p**3 + 2072*p**2 + 2076*p.
-4*p*(p - 519)*(p + 1)
Determine a, given that -a**2/3 + 374*a/3 - 248 = 0.
2, 372
Let -2*o**5 + 64*o**4 + 524*o**3 + 848*o**2 + 390*o = 0. Calculate o.
-5, -1, 0, 39
Suppose 5*j**3 - 9225*j**2 + 18435*j - 9215 = 0. What is j?
1, 1843
Factor 196*n**4 - 19320*n**3 + 708384*n**2 - 80018816*n/7 + 478416384/7.
4*(n - 18)*(7*n - 188)**3/7
Determine n so that -5*n**3 + 30*n**2 - 45*n = 0.
0, 3
Factor -y**2/3 - 194*y/3 - 9409/3.
-(y + 97)**2/3
Factor -3*w**2 - 18*w/7 + 3/7.
-3*(w + 1)*(7*w - 1)/7
Let -3*t**2 - 18*t - 24 = 0. What is t?
-4, -2
Factor -3*o**2/4 + 963*o/2 - 5751/4.
-3*(o - 639)*(o - 3)/4
What is p in -p**5 - 7*p**4 - 8*p**3 + 28*p**2 + 48*p = 0?
-4, -3, -2, 0, 2
Factor -3*g**2 + 414*g.
-3*g*(g - 138)
Factor -4*a**2 - 32*a + 192.
-4*(a - 4)*(a + 12)
Factor 2*z**4 + 72*z**3 - 228*z**2 + 232*z - 78.
2*(z - 1)**3*(z + 39)
Factor 45*k**2 + 4445*k - 990.
5*(k + 99)*(9*k - 2)
Factor 75*n**4 - 660*n**3 + 492*n**2 - 96*n.
3*n*(n - 8)*(5*n - 2)**2
Factor -4*y**3/7 - 480*y**2/7 - 68*y.
-4*y*(y + 1)*(y + 119)/7
Let a**3/5 - 27*a**2/5 - 58*a/5 = 0. What is a?
-2, 0, 29
Factor 2*u**5/7 - 2*u**4/7 - 12*u**3/7 + 4*u**2 - 22*u/7 + 6/7.
2*(u - 1)**4*(u + 3)/7
Factor -x**4 - 420*x**3 - 66150*x**2 - 4630500*x - 121550625.
-(x + 105)**4
Factor 2*k**5/9 - 8*k**4/9 + 10*k**3/9 - 4*k**2/9.
2*k**2*(k - 2)*(k - 1)**2/9
Factor -r**3/3 + 22*r**2 + 67*r/3.
-r*(r - 67)*(r + 1)/3
Let -2*r**4/5 + 2*r**3 + 16*r**2/5 - 24*r/5 = 0. Calculate r.
-2, 0, 1, 6
Find o such that 6*o**4 - 107*o**3 - 258*o**2 - 40*o = 0.
-2, -1/6, 0, 20
Determine v, given that -3*v**4 + 2148*v**3 - 380172*v**2 - 1546560*v - 1555200 = 0.
-2, 360
Let -2*f**4/5 + 96*f**3/5 - 1244*f**2/5 + 2208*f/5 - 1058/5 = 0. Calculate f.
1, 23
Determine w, given that 9*w**5/5 + 12*w**4/5 - 48*w**3/5 + 6*w**2/5 + 39*w/5 - 18/5 = 0.
-3, -1, 2/3, 1
Factor 3*a**5 + 84*a**4 + 306*a**3 + 444*a**2 + 291*a + 72.
3*(a + 1)**4*(a + 24)
Factor 4*s**4 - 28*s**3 - 12*s**2 + 76*s + 56.
4*(s - 7)*(s - 2)*(s + 1)**2
Factor -3*b**3/7 - 594*b**2/7 + 171*b - 600/7.
-3*(b - 1)**2*(b + 200)/7
Determine w so that -5*w**3 - 315*w**2 - 310*w = 0.
-62, -1, 0
Factor -5*i**2 - 165*i + 1400.
-5*(i - 7)*(i + 40)
Solve 7*c**4/2 - 121*c**3/2 + 297*c**2 - 430*c + 100 = 0 for c.
2/7, 2, 5, 10
Solve -5*i**5 + 25*i**3 - 20*i = 0 for i.
-2, -1, 0, 1, 2
Determine j so that -3*j**3/5 - 573*j**2/5 + 3*j/5 + 573/5 = 0.
-191, -1, 1
Solve -5*s**3 + 100*s**2 + 215*s + 110 = 0 for s.
-1, 22
Factor -b**4/5 + 272*b**3/5 - 271*b**2/5.
-b**2*(b - 271)*(b - 1)/5
Suppose -3*i**4/5 + 174*i**3/5 - 2847*i**2/5 + 9396*i/5 - 8748/5 = 0. What is i?
2, 27
Factor -3*j**3/4 - 135*j**2/4 + 39*j + 207.
-3*(j - 3)*(j + 2)*(j + 46)/4
Factor 2*u**5/3 + 2942*u**4 + 3247232*u**3 + 9732872*u**2/3.
2*u**2*(u + 1)*(u + 2206)**2/3
Factor -2*h**5 + 8*h**4 - 8*h**3 - 4*h**2 + 10*h - 4.
-2*(h - 2)*(h - 1)**3*(h + 1)
Factor 2*l**2/7 + 22*l - 1936/7.
2*(l - 11)*(l + 88)/7
Factor 2*w**3/11 + 6*w**2/11 - 36*w/11.
2*w*(w - 3)*(w + 6)/11
Determine r so that 27*r**2/2 - 1119*r - 249/2 = 0.
-1/9, 83
Solve -30258*k**4/7 + 60024*k**3/7 - 29276*k**2/7 - 488*k/7 - 2/7 = 0 for k.
-1/123, 1
Suppose m**4 - 23*m**3 + 141*m**2 - 77*m - 242 = 0. Calculate m.
-1, 2, 11
Find q, given that -3*q**2/4 + 111*q + 447/4 = 0.
-1, 149
Factor 2*k**2/9 - 14*k/9 + 4/3.
2*(k - 6)*(k - 1)/9
Factor -5*m**3/3 + 115*m**2/3 - 200*m - 240.
-5*(m - 12)**2*(m + 1)/3
Let 9*j**4 + 39*j**3 + 3*j**2 - 39*j - 12 = 0. What is j?
-4, -1, -1/3, 1
Factor 15*j**3 + 9*j**2 - 42*j.
3*j*(j + 2)*(5*j - 7)
Factor 6*y**3 - 152*y**2 - 106*y + 52.
2*(y - 26)*(y + 1)*(3*y - 1)
Factor 3*h**2 + 735*h + 732.
3*(h + 1)*(h + 244)
Find f such that f**2 + 15*f + 14 = 0.
-14, -1
Factor -v**3/4 - 47*v**2/4 - 91*v/4 - 45/4.
-(v + 1)**2*(v + 45)/4
Factor -3*p**3 + 12*p**2 - 15*p + 6.
-3*(p - 2)*(p - 1)**2
Find z, given that 12*z**4 - 57*z**3 + 81*z**2 - 24*z - 12 = 0.
-1/4, 1, 2
Solve 12*b**3 + 345*b**2 + 2250*b - 3375 = 0.
-15, 5/4
Solve -2*h**5/13 - 2*h**4/13 + 10*h**3/13 + 2*h**2/13 - 16*h/13 + 8/13 = 0.
-2, 1
Solve -v**2/5 + 1144*v - 1635920 = 0.
2860
Suppose 35*a**4 - 1215*a**3 - 385*a**2 + 1215*a + 350 = 0. Calculate a.
-1, -2/7, 1, 35
Let 22*q**4/5 + 18*q**3/5 - 66*q**2/5 - 2*q + 36/5 = 0. Calculate q.
-2, -9/11, 1
Solve 8*c**3 - 19208*c**2 - 19214*c - 4804 = 0.
-1/2, 2402
Suppose 98*g**4 + 1554*g**3 - 3636*g**2 + 2560*g - 576 = 0. What is g?
-18, 4/7, 1
Factor -k**2/10 - 70*k - 699/10.
-(k + 1)*(k + 699)/10
Factor k**2 + 51*k + 270.
(k + 6)*(k + 45)
Find o, given that -5*o**2 - 115*o = 0.
-23, 0
Let -3*z**5 + 6*z**4 + 9*z**3 - 24*z**2 + 12*z = 0. Calculate z.
-2, 0, 1, 2
Factor -95*s**2 - 390*s - 40.
-5*(s + 4)*(19*s + 2)
Determine h, given that -5*h**3 + 510*h**2 - 1005*h + 500 = 0.
1, 100
Suppose l**5 + 6*l**4 + 12*l**3 + 8*l**2 = 0. What is l?
-2, 0
Factor 6*w**4 - 10*w**3 + 2*w**2 + 2*w.
2*w*(w - 1)**2*(3*w + 1)
Factor -s**2/3 - 10*s/3 - 25/3.
-(s + 5)**2/3
Determine b, given that -2*b**3 - 10*b**2 + 16*b + 24 = 0.
-6, -1, 2
Factor 3*i**3 - 48*i**2 + 153*i - 108.
3*(i - 12)*(i - 3)*(i - 1)
Factor 2*x**4 + 282*x**3 + 1096*x**2.
2*x**2*(x + 4)*(x + 137)
Let -a**2 - 26*a + 231 = 0. What is a?
-33, 7
Factor -2*o**4/7 + 44*o**3/7 - 114*o**2/7.
-2*o**2*(o - 19)*(o - 3)/7
Suppose 7*t**5 + 51*t**4 + 56*t**3 + 12*t**2 = 0. What is t?
-6, -1, -2/7, 0
Solve -2*z**3 - 32*z**2 + 88*z + 288 = 0 for z.
-18, -2, 4
Find f such that -4*f**5 + 100*f**3 = 0.
-5, 0, 5
Factor -20*i**2 + 932*i + 376.
-4*(i - 47)*(5*i + 2)
Determine s, given that 3*s**2/2 - 36*s + 120 = 0.
4, 20
Factor 5*s**5 - 5*s**4 - 5*s**3 + 5*s**2.
5*s**2*(s - 1)**2*(s + 1)
Solve 4*d**3 - 44*d**2 + 40*d = 0 for d.
0, 1, 10
Suppose -4*f**4/9 - 8*f**3/3 + 28*f**2 + 1568*f/9 = 0. What is f?
-7, 0, 8
Factor -4*t**2/3 + 20*t/3 + 56/3.
-4*(t - 7)*(t + 2)/3
Determine j, given that 3*j**4 + 6*j**3 - 39*j**2 + 30*j = 0.
-5, 0, 1, 2
Factor 5*i**4 - 120*i**3 - 5*i**2 + 120*i.
5*i*(i - 24)*(i - 1)*(i + 1)
Suppose -a**5/3 - 2*a**4 - 7*a**3/3 + 2*a**2 + 8*a/3 = 0. What is a?
-4, -2, -1, 0, 1
Determine f so that -4*f**3 - 184*f**2 + 380*f - 192 = 0.
-48, 1
Let 10*a**4 + 1565*a**3 + 60045*a**2 - 92825*a + 31205 = 0. What is a?
-79, 1/2, 1
Factor -3*u**2 - 9336*u - 7263408.
-3*(u + 1556)**2
Factor y**2 + 493*y + 1956.
(y + 4)*(y + 489)
Factor 5*s**2 - 15*s - 350.
5*(s - 10)*(s + 7)
Find j such that 4*j**2/7 - 100*j/7 + 96/7 = 0.
1, 24
Find u such that u**5/3 - 82*u**4/3 + 1753*u**3/3 - 2644*u**2/3 - 10880*u/3 - 6400/3 = 0.
-1, 4, 40
Factor 49*k**5/2 + 217*k**4/2 + 156*k**3 + 72*k**2.
k**2*(k + 1)*(7*k + 12)**2/2
Factor -5*l**4 + 120*l**3 - 115*l**2.
-5*l**2*(l - 23)*(l - 1)
Factor -5*w**4 - 35*w**3 + 105*w**2 + 135*w.
-5*w*(w - 3)*(w + 1)*(w + 9)
Find v such that -2*v**2/5 + 26*v/5 - 72/5 = 0.
4, 9
Factor x**4 + x**3 - 4*x**2 - 4*x.
x*(x - 2)*(x + 1)*(x + 2)
What is l in -l**4/10 - 3*l**3/10 + 9*l**2/10 - l/2 = 0?
-5, 0, 1
What is t in 4*t**3 + 152*t**2 + 292*t + 144 = 0?
-36, -1
Find j, given that 