Solve 2*t**5 - 6*t**4 - 14*t**3 + 30*t**2 + 36*t = 0.
-2, -1, 0, 3
Find y, given that y**3/3 - 8*y**2 + 128*y/3 = 0.
0, 8, 16
Factor 3*p**3/2 + 969*p**2/2 + 38880*p - 39366.
3*(p - 1)*(p + 162)**2/2
Factor -2*a**2/3 - 340*a/3 - 338/3.
-2*(a + 1)*(a + 169)/3
Find a, given that 4*a**3 + 436*a**2 - 884*a + 444 = 0.
-111, 1
Let -y**3/5 + 81*y**2/5 - 158*y/5 = 0. Calculate y.
0, 2, 79
Determine d so that 2*d**5/11 + 10*d**4/11 - 2*d**3 - 146*d**2/11 - 196*d/11 - 80/11 = 0.
-5, -2, -1, 4
Suppose 4*v**5/3 + 19*v**4/3 + 3*v**3 - 82*v**2/3 - 148*v/3 - 24 = 0. What is v?
-2, -1, 9/4
Determine m so that -m**3/4 - 13*m**2/2 + 125*m/4 + 75/2 = 0.
-30, -1, 5
Let -d**3/7 + 2*d**2/7 + 3*d/7 = 0. What is d?
-1, 0, 3
Solve 3*c**5/5 - 1389*c**4/5 + 165573*c**3/5 - 1112211*c**2/5 + 2351592*c/5 - 1403568/5 = 0.
1, 3, 228
Suppose -3*j**3 + 5733*j**2 + 11475*j + 5739 = 0. What is j?
-1, 1913
Factor -4*j**5 + 32*j**4 - 88*j**3 + 96*j**2 - 36*j.
-4*j*(j - 3)**2*(j - 1)**2
Factor -2*y**2/7 + 46*y/7 - 44/7.
-2*(y - 22)*(y - 1)/7
Factor 2*z**2/9 - 98*z/3 - 100.
2*(z - 150)*(z + 3)/9
Suppose 21*z**2 - 486*z + 69 = 0. What is z?
1/7, 23
Factor q**2 + 230*q + 13225.
(q + 115)**2
Factor 2*c**4/5 + 20*c**3 + 94*c**2/5 - 196*c/5.
2*c*(c - 1)*(c + 2)*(c + 49)/5
Find h, given that 3*h**5/2 - 15*h**4/2 + 9*h**3/2 + 15*h**2/2 - 6*h = 0.
-1, 0, 1, 4
Factor -3*z**2/5 - 9*z - 168/5.
-3*(z + 7)*(z + 8)/5
Find f such that -f**3/8 + 433*f**2/8 - 427*f + 850 = 0.
4, 425
Suppose -q**4 + 14*q**3 + 19*q**2 - 56*q - 60 = 0. Calculate q.
-2, -1, 2, 15
Factor -2*w**2 + 516*w - 514.
-2*(w - 257)*(w - 1)
Factor -5*c**2 - 950*c - 1880.
-5*(c + 2)*(c + 188)
Find a such that 22*a**5 - 370*a**4 + 1934*a**3 - 2870*a**2 - 588*a = 0.
-2/11, 0, 3, 7
Factor -4*i**2 - 724*i + 1464.
-4*(i - 2)*(i + 183)
Find x such that -3*x**4/8 + 33*x**3/2 + 141*x**2/2 + 72*x = 0.
-2, 0, 48
Find d, given that -25*d**5/3 - 130*d**4/3 + 1016*d**3/3 - 1744*d**2/3 + 944*d/3 - 160/3 = 0.
-10, 2/5, 2
Solve -i**4 + 29*i**3 - 247*i**2 + 507*i = 0 for i.
0, 3, 13
Factor 2*c**2/5 + 942*c/5 + 188.
2*(c + 1)*(c + 470)/5
Factor -2*x**3/15 + 34*x**2/15 + 116*x/15 + 16/3.
-2*(x - 20)*(x + 1)*(x + 2)/15
Factor -5*r**2 + 100*r + 105.
-5*(r - 21)*(r + 1)
Factor 2*i**3/13 - 126*i**2/13 + 246*i/13 - 122/13.
2*(i - 61)*(i - 1)**2/13
Let 5*a**4 - 20*a**3 - 345*a**2 + 180*a + 2700 = 0. What is a?
-6, -3, 3, 10
Factor -7*l**4/2 + 59*l**3/2 - 68*l**2 + 24*l.
-l*(l - 4)**2*(7*l - 3)/2
Determine a, given that -5*a**2 + 65*a + 3570 = 0.
-21, 34
Suppose -4*p**2 - 1816*p - 5412 = 0. What is p?
-451, -3
Suppose 28*f**5 + 692*f**4 - 928*f**3 + 208*f**2 = 0. What is f?
-26, 0, 2/7, 1
Suppose 180*y**3 - 1740*y**2 - 595*y - 50 = 0. Calculate y.
-1/6, 10
Let v**2/10 + 2*v/5 - 6/5 = 0. Calculate v.
-6, 2
Factor -4*b**2/3 + 19640*b/3 - 24108100/3.
-4*(b - 2455)**2/3
Let 3*p**3 - 15*p**2 + 18*p = 0. Calculate p.
0, 2, 3
Factor 2*g**4/5 + 46*g**3/5 - 152*g**2/5 + 104*g/5.
2*g*(g - 2)*(g - 1)*(g + 26)/5
Suppose -3*r**2 + 318*r - 8427 = 0. Calculate r.
53
Solve -9*u**2 + 1434*u - 1896 = 0 for u.
4/3, 158
Factor -p**2 - 2444*p - 1493284.
-(p + 1222)**2
Factor 12*k**4 + 81*k**3 - 957*k**2 + 234*k.
3*k*(k - 6)*(k + 13)*(4*k - 1)
Find s such that -s**2/3 - 232*s/3 - 13456/3 = 0.
-116
Factor 121*f**3/4 + 4103*f**2/4 + 8160*f - 9216.
(f - 1)*(11*f + 192)**2/4
Factor -2*g**3 + 36*g**2 + 80*g.
-2*g*(g - 20)*(g + 2)
What is f in -3*f**2 + 1194*f - 118803 = 0?
199
Factor 3*g**3/7 - 15*g**2.
3*g**2*(g - 35)/7
Factor -3*x**2 - 216*x - 420.
-3*(x + 2)*(x + 70)
Find t, given that -14*t**3/3 - 632*t**2/3 - 6854*t/3 + 2116 = 0.
-23, 6/7
Factor -2*v**3/15 - 2*v**2/3 + 10*v/3 + 50/3.
-2*(v - 5)*(v + 5)**2/15
Find v such that -4*v**4 + 304*v**3 - 7800*v**2 + 70000*v - 62500 = 0.
1, 25
Determine g, given that -2*g**4 - 18*g**3 + 140*g**2 = 0.
-14, 0, 5
Factor -w**4/6 + 3*w**3/2 - 3*w**2.
-w**2*(w - 6)*(w - 3)/6
Factor -3*p**2/2 + 182*p - 121/2.
-(p - 121)*(3*p - 1)/2
Determine l so that -2*l**5/3 - 116*l**4/3 - 1144*l**3/3 - 1840*l**2/3 = 0.
-46, -10, -2, 0
Let 2*o**2/11 + 194*o/11 + 1740/11 = 0. What is o?
-87, -10
Find k, given that k**2/2 - 192*k + 383/2 = 0.
1, 383
Factor 2*n**4/11 - 6*n**3/11 + 6*n**2/11 - 2*n/11.
2*n*(n - 1)**3/11
Factor y**4/5 + 29*y**3/5 + 258*y**2/5 + 716*y/5 + 616/5.
(y + 2)**2*(y + 11)*(y + 14)/5
Factor 5*a**3 - 455*a**2 - 460*a.
5*a*(a - 92)*(a + 1)
Factor 4*a**3 - 32*a**2 - 796*a - 760.
4*(a - 19)*(a + 1)*(a + 10)
Solve -5*f**2 + 21300*f - 22684500 = 0 for f.
2130
Suppose -2*h**2/3 + 192*h - 13824 = 0. What is h?
144
Solve -5*o**3/9 + 83*o**2/9 - 46*o/9 - 32/9 = 0.
-2/5, 1, 16
Factor -2*u**4/13 + 2916*u**3/13 - 1068698*u**2/13 + 4239864*u/13 - 4228232/13.
-2*(u - 727)**2*(u - 2)**2/13
Suppose 2*k**5/3 + k**4 - k**3/3 - k**2 - k/3 = 0. What is k?
-1, -1/2, 0, 1
Determine y, given that 36*y**3 + 28*y**2 - 8*y = 0.
-1, 0, 2/9
Factor 3*p**3 - 12*p**2 + 12*p.
3*p*(p - 2)**2
Let -2*q**5/9 - 22*q**4/9 + 52*q**3/9 - 4*q**2/9 - 50*q/9 + 26/9 = 0. Calculate q.
-13, -1, 1
Factor 2*c**3 + 746*c**2 - 748*c.
2*c*(c - 1)*(c + 374)
Suppose 2*b**3/7 - 58*b**2/7 - 192*b/7 = 0. What is b?
-3, 0, 32
Suppose -5*z**5 + 55*z**4 - 230*z**3 + 450*z**2 - 405*z + 135 = 0. What is z?
1, 3
Let -p**5/6 + p**4/2 + 25*p**3/6 + 25*p**2/6 - 4*p - 14/3 = 0. What is p?
-2, -1, 1, 7
Factor 2*t**5/7 - 74*t**4/7 + 204*t**3/7.
2*t**3*(t - 34)*(t - 3)/7
Factor 2*m**3/5 - 4*m**2 + 32*m/5.
2*m*(m - 8)*(m - 2)/5
Let 2*m**2 - 56*m + 104 = 0. Calculate m.
2, 26
Determine g, given that -4*g**4 - 104*g**3 + 116*g**2 + 216*g = 0.
-27, -1, 0, 2
Let 3*m**2 - 468*m + 18252 = 0. What is m?
78
Factor -5*u**4 + 335*u**3 + 1760*u**2 + 2860*u + 1440.
-5*(u - 72)*(u + 1)*(u + 2)**2
Suppose 3*m**3/5 - 24*m**2/5 - 93*m/5 - 66/5 = 0. Calculate m.
-2, -1, 11
Find w, given that 2*w**2/9 + 8*w - 152/9 = 0.
-38, 2
Find h, given that -2*h**4/3 + 604*h**3 - 183008*h**2 + 56172620*h/3 - 54541802 = 0.
3, 301
Determine y so that -5*y**4 + 360*y**3 - 705*y**2 + 350*y = 0.
0, 1, 70
Suppose -72*p**5 - 1153*p**4/2 - 1300*p**3 - 9*p**2 + 1944*p + 27/2 = 0. What is p?
-3, -1/144, 1
Factor -2*l**4/17 + 2*l**3/17 + 4*l**2/17.
-2*l**2*(l - 2)*(l + 1)/17
What is v in 2*v**4 - 4*v**3 - 50*v**2 + 4*v + 48 = 0?
-4, -1, 1, 6
Let 8*j**2/9 - 8*j/9 + 2/9 = 0. What is j?
1/2
Factor -3*t**2/5 + 186*t/5 - 696/5.
-3*(t - 58)*(t - 4)/5
Factor 2*d**4/3 + 38*d**3/3 + 12*d**2.
2*d**2*(d + 1)*(d + 18)/3
Determine v, given that -v**2/8 + 39*v/4 - 737/8 = 0.
11, 67
What is g in -2*g**3 + 154*g**2 - 152*g = 0?
0, 1, 76
Suppose -2*p**4/9 + 16*p**3/9 + 16*p**2/3 - 64*p/9 - 160/9 = 0. What is p?
-2, 2, 10
Factor 4*k**2 + 96*k + 176.
4*(k + 2)*(k + 22)
Determine k, given that 2*k**3 - 470*k**2 - 2392*k - 1920 = 0.
-4, -1, 240
Factor -4*q**2 - 84*q + 400.
-4*(q - 4)*(q + 25)
Factor -6*w**2 - 3*w.
-3*w*(2*w + 1)
What is t in -900*t**3 - 51780*t**2 - 27424*t - 3648 = 0?
-57, -4/15
Determine n, given that -4*n**2 - 24*n + 28 = 0.
-7, 1
Factor -i**3 + 17*i**2 - 16*i.
-i*(i - 16)*(i - 1)
Let 5*v**3 - 80*v**2 + 215*v + 300 = 0. Calculate v.
-1, 5, 12
Let -x**2/2 + 409*x + 1644 = 0. What is x?
-4, 822
Factor 2*c**2/9 - 274*c/9 + 272/9.
2*(c - 136)*(c - 1)/9
Factor -2*o**4 - 188*o**3 - 4416*o**2 + 188*o + 4418.
-2*(o - 1)*(o + 1)*(o + 47)**2
Let 3*v**5 - 117*v**4 + 429*v**3 - 303*v**2 - 432*v + 420 = 0. Calculate v.
-1, 1, 2, 35
Let -18*k**5/7 + 24*k**4 - 188*k**3/7 - 40*k**2/7 + 62*k/7 + 16/7 = 0. Calculate k.
-1/3, 1, 8
Factor -s**3 - 12*s**2 - 17*s + 30.
-(s - 1)*(s + 3)*(s + 10)
Factor -3*i**4/4 + 63*i**3/4 + 405*i**2.
-3*i**2*(i - 36)*(i + 15)/4
Solve -3*b**4 - 81*b**3 - 291*b**2 - 351*b - 138 = 0 for b.
-23, -2, -1
Solve -2*w**2/3 + 56*w/3 - 104/3 = 0.
2, 26
Solve 3*d**5 - 126*d**4 + 354*d**3 - 108*d**2 - 357*d + 234 = 0.
-1, 1, 2, 39
What is f in 2*f**5/5 + 2*f**4/5 - 4*f**3 - 4*f**2 + 18*f/5 + 18/5 = 0?
-3, -1, 1, 3
Factor -4*m**3/5 + 2*m**2 - 4*m/5.
-2*m*(m - 2)*(2*m - 1)/5
Let 4*t**4/5 + 52*t**3/5 + 184*t**2/5 + 192*t/5 = 0. What is t?
-8, -3, -2, 0
Factor u**4 + 7*u**3 - 27*u**2 - 135*u + 378.
(u - 3)**2*(u + 6)*(u + 7)
Factor t**3 + 5*t**2 - 8*t - 48.
(t - 3)*(t + 4)**2
Factor 4*z**2 - 7*z - 2.
(z - 2)*(4*z + 1)
Solve 3*t**4/4 + 6*t**3 + 33*t**2/2 + 18*t + 27/4 = 0 for t.
-3, -1
Suppose 3*t**2 + 9027*t = 0. What is t?
-3009, 0
Determine x so tha