Factor 5*g**3/4 + 15*g**2/2 + 55*g/4 + 15/2.
5*(g + 1)*(g + 2)*(g + 3)/4
Factor -2*u**2/13 - 28*u/13 + 102/13.
-2*(u - 3)*(u + 17)/13
Factor 18*d**4 + 26*d**3 + 80*d**2/9 + 8*d/9.
2*d*(d + 1)*(9*d + 2)**2/9
Find w, given that 2*w**3/7 + 619*w**2/7 + 44*w - 309/7 = 0.
-309, -1, 1/2
Factor b**3 - 15*b**2 + 27*b - 13.
(b - 13)*(b - 1)**2
Suppose -x**2/3 + 6*x + 40/3 = 0. Calculate x.
-2, 20
Factor 5*o**4 - 775*o**3.
5*o**3*(o - 155)
Factor -v**3 - 56*v**2 + 727*v - 670.
-(v - 10)*(v - 1)*(v + 67)
Factor 3*v**5 + 60*v**4 + 111*v**3 + 54*v**2.
3*v**2*(v + 1)**2*(v + 18)
Solve 46*z**2/5 - 4*z/5 = 0 for z.
0, 2/23
Determine v so that v**2 + 42*v = 0.
-42, 0
Let c**2/7 + 25*c/7 - 26/7 = 0. Calculate c.
-26, 1
Find l, given that -2*l**5 + 8*l**4 + 16*l**3 - 64*l**2 - 32*l + 128 = 0.
-2, 2, 4
Factor -u**3/3 + 20*u**2 + 176*u + 1088/3.
-(u - 68)*(u + 4)**2/3
Factor -2*i**2 + 242*i.
-2*i*(i - 121)
Determine v so that -v**2/3 + 4*v/3 + 7 = 0.
-3, 7
Factor 2*n**5/7 - 120*n**4/7 - 774*n**3/7 - 1188*n**2/7.
2*n**2*(n - 66)*(n + 3)**2/7
Suppose -48*s**5 + 4*s**4 + 52*s**3 - 4*s**2 - 4*s = 0. Calculate s.
-1, -1/4, 0, 1/3, 1
Factor 5*f**3/3 + 2170*f**2 + 941780*f + 408732520/3.
5*(f + 434)**3/3
Factor -s**3/4 - 152*s**2 + 305*s.
-s*(s - 2)*(s + 610)/4
Factor 6*j**2/7 - 72*j/7 + 216/7.
6*(j - 6)**2/7
Determine y so that -2*y**4/3 - 12*y**3 + 74*y**2 - 184*y/3 = 0.
-23, 0, 1, 4
Solve 2*o**4/11 - 6124*o**3/11 + 6120*o**2/11 + 6124*o/11 - 6122/11 = 0.
-1, 1, 3061
Solve 3*g**3/4 - 3*g**2 + 9*g/4 = 0 for g.
0, 1, 3
What is c in -c**3/2 - 5*c**2/2 - 4*c - 2 = 0?
-2, -1
Factor 4*b**2 + 896*b + 50176.
4*(b + 112)**2
Factor 4*w**3/3 - 124*w**2/3 - 695*w/3 - 300.
(w - 36)*(2*w + 5)**2/3
Factor -4*r**3 - 356*r**2 - 8096*r - 7744.
-4*(r + 1)*(r + 44)**2
Solve -w**4/2 + 15*w**3 + 16*w**2 - 15*w - 31/2 = 0.
-1, 1, 31
Factor 2*j**4/7 - 12*j**3/7 + 18*j**2/7.
2*j**2*(j - 3)**2/7
Factor -5*o**2/2 - 7*o/2 - 1.
-(o + 1)*(5*o + 2)/2
Suppose -2*w**4/11 + 148*w**3/11 + 118*w**2/11 - 105672*w/11 - 1019592/11 = 0. What is w?
-14, 51
What is l in 2*l**3/13 - 1288*l**2/13 = 0?
0, 644
Factor 5*x**5 + 5*x**4 - 75*x**3 + 115*x**2 - 50*x.
5*x*(x - 2)*(x - 1)**2*(x + 5)
Suppose -96*w**3 - 952*w**2 + 479*w/6 - 5/3 = 0. What is w?
-10, 1/24
Factor -4*x**3/3 - 628*x**2 + 2528*x - 7600/3.
-4*(x - 2)**2*(x + 475)/3
What is c in 2*c**2/3 - 132*c - 402 = 0?
-3, 201
Determine i, given that 3*i**4/2 + 522*i**3 - 525*i**2 - 522*i + 1047/2 = 0.
-349, -1, 1
Factor -5*s**2 + 720*s - 715.
-5*(s - 143)*(s - 1)
What is w in 2*w**3/7 + 432*w**2/7 - 1314*w/7 = 0?
-219, 0, 3
Suppose -7*d**2/5 + 1626*d/5 - 464/5 = 0. What is d?
2/7, 232
Determine h, given that -2*h**4/3 - 140*h**3/3 - 904*h**2/3 - 1396*h/3 - 210 = 0.
-63, -5, -1
Solve -8*w**5 - 4*w**4 + 108*w**3 - 44*w**2 - 100*w + 48 = 0 for w.
-4, -1, 1/2, 1, 3
Factor -12*p**2 - 4125*p + 1032.
-3*(p + 344)*(4*p - 1)
Factor -d**3 + 6*d**2 + 27*d.
-d*(d - 9)*(d + 3)
Find q such that -3*q**2 + 84*q - 588 = 0.
14
Factor -4*k**4/3 - 160*k**3/3 - 1432*k**2/3 + 1120*k - 588.
-4*(k - 1)**2*(k + 21)**2/3
Factor 2*p**3/3 + 16*p**2/3 + 40*p/3 + 32/3.
2*(p + 2)**2*(p + 4)/3
Let -6*c**5/19 + 10*c**4 + 994*c**3/19 - 2102*c**2/19 + 492*c/19 + 432/19 = 0. Calculate c.
-6, -1/3, 1, 36
Factor t**2/10 + 283*t/10 + 281/5.
(t + 2)*(t + 281)/10
Factor l**3 + 58*l**2 + 57*l.
l*(l + 1)*(l + 57)
Factor z**4/3 + 19*z**3/3 - 25*z**2/3 - 103*z/3 - 20.
(z - 3)*(z + 1)**2*(z + 20)/3
Factor -2*o**3 + 20*o**2/7 + 16*o/7.
-2*o*(o - 2)*(7*o + 4)/7
Determine p, given that -4*p**2/5 - 18*p/5 + 2 = 0.
-5, 1/2
Factor -4*i**2 + 72*i - 180.
-4*(i - 15)*(i - 3)
Let -3*y**2 - 54*y + 957 = 0. Calculate y.
-29, 11
What is j in j**5 + 14*j**4 + 45*j**3 + 52*j**2 + 20*j = 0?
-10, -2, -1, 0
Suppose 9*y**5/4 + 75*y**4/4 - 197*y**3/4 - 435*y**2/4 + 86*y - 15 = 0. Calculate y.
-10, -2, 1/3, 3
Let 3*b**4 + 72*b**3 + 309*b**2 + 468*b + 228 = 0. Calculate b.
-19, -2, -1
Factor -x**4/4 - 145*x**3/4 + 293*x**2/4 - 147*x/4.
-x*(x - 1)**2*(x + 147)/4
Determine p so that -2*p**5/3 + 56*p**4/3 - 40*p**3/3 - 380*p**2/3 + 14*p + 108 = 0.
-2, -1, 1, 3, 27
Suppose 475*p**4 + 960*p**3 + 495*p**2 + 10*p = 0. Calculate p.
-1, -2/95, 0
Solve -4*i**2/5 - 4*i - 24/5 = 0 for i.
-3, -2
Find x such that 5292*x**3/5 + 3276*x**2/5 - 33*x + 2/5 = 0.
-2/3, 1/42
Suppose 2*p**5/7 + 2*p**4/7 - 12*p**3/7 - 8*p**2/7 + 16*p/7 = 0. Calculate p.
-2, 0, 1, 2
Factor b**2/8 - 27*b/8 + 9.
(b - 24)*(b - 3)/8
Suppose -2*v**2/5 - 52*v/5 - 96/5 = 0. Calculate v.
-24, -2
Factor -6*d**4 + 49*d**3 - 128*d**2 + 116*d - 16.
-(d - 4)*(d - 2)**2*(6*d - 1)
Factor 4*q**2 - 856*q + 45796.
4*(q - 107)**2
Suppose -6*i**5 + 82*i**4 - 358*i**3 + 606*i**2 - 436*i + 112 = 0. Calculate i.
2/3, 1, 4, 7
Factor 4*p**2 - 2600*p + 2596.
4*(p - 649)*(p - 1)
Factor -3*g**3/4 - 3*g**2/4 + 51*g/4 - 45/4.
-3*(g - 3)*(g - 1)*(g + 5)/4
Factor -p**5 + 3*p**4 + 5*p**3 - 3*p**2 - 4*p.
-p*(p - 4)*(p - 1)*(p + 1)**2
Let 3*k**3 - 1241*k**2 - 1659*k - 415 = 0. What is k?
-1, -1/3, 415
Factor -5*m**4 + 65*m**3 - 165*m**2 - 385*m + 490.
-5*(m - 7)**2*(m - 1)*(m + 2)
Factor -3*p**3/2 - 24*p**2 - 117*p/2.
-3*p*(p + 3)*(p + 13)/2
Find o, given that -3*o**3 + 918*o**2 - 70227*o = 0.
0, 153
Factor 2*t**5 - 116*t**4 + 2690*t**3 - 31176*t**2 + 180576*t - 418176.
2*(t - 12)**3*(t - 11)**2
Factor -5*q**2 + 25*q.
-5*q*(q - 5)
Solve -h**4/6 + h**3/2 - h**2/3 = 0.
0, 1, 2
Determine k so that -k**3/4 - 9*k**2 - 69*k/4 - 17/2 = 0.
-34, -1
Factor 5*c**2/2 - 370*c.
5*c*(c - 148)/2
Factor 8*q**4 - 62*q**3 - 88*q**2 - 18*q.
2*q*(q - 9)*(q + 1)*(4*q + 1)
Let i**2/2 + 2445*i - 4891/2 = 0. What is i?
-4891, 1
Factor p**3 - 90*p**2 - 183*p - 92.
(p - 92)*(p + 1)**2
Find l, given that 3*l**4/4 - 57*l**3/4 + 189*l**2/2 - 243*l + 162 = 0.
1, 6
Find c such that 3*c**3 - 51*c**2 + 225*c - 297 = 0.
3, 11
Determine a so that 128*a**4 + 480*a**3 + 562*a**2 + 246*a + 36 = 0.
-2, -1, -3/8
Let 312*m**5 + 450*m**4 - 51*m**3 - 192*m**2 + 9*m + 12 = 0. What is m?
-1, -1/4, 4/13, 1/2
Factor d**3/3 - 143*d**2/3 + 1680*d + 1728.
(d - 72)**2*(d + 1)/3
Suppose y**2 - 8*y/3 + 4/3 = 0. Calculate y.
2/3, 2
Find n such that -6*n**4 - 213*n**3 - 105*n**2 = 0.
-35, -1/2, 0
Factor -36*g**5 - 44*g**4 - 8*g**3.
-4*g**3*(g + 1)*(9*g + 2)
Factor -3*u**2 - 137*u/5 - 18/5.
-(u + 9)*(15*u + 2)/5
Factor -b**2 - 84*b - 1764.
-(b + 42)**2
What is z in -2*z**2/11 - 164*z/11 - 320/11 = 0?
-80, -2
Factor -4*q**2 + 4*q.
-4*q*(q - 1)
Solve -32*b**5/9 - 10*b**4/9 + 160*b**3/9 + 50*b**2/9 - 128*b/9 - 40/9 = 0 for b.
-2, -1, -5/16, 1, 2
Suppose x**2/4 + 103*x - 413/4 = 0. What is x?
-413, 1
Let 2*g**2/7 - 12*g/7 + 16/7 = 0. What is g?
2, 4
Factor -b**2 + 696*b + 2097.
-(b - 699)*(b + 3)
Suppose -5*b**3/4 - 20*b**2 - 100*b - 160 = 0. What is b?
-8, -4
Factor 2*d**2/9 + 146*d - 6620/9.
2*(d - 5)*(d + 662)/9
Factor -2*y**5/3 - 4*y**4/3 + 2*y**3.
-2*y**3*(y - 1)*(y + 3)/3
Suppose d**4 - 15*d**3 + 27*d**2 - 13*d = 0. Calculate d.
0, 1, 13
What is y in 2*y**3/21 + 2*y**2 - 152*y/21 - 64/7 = 0?
-24, -1, 4
Factor 5*n**3 + 25*n**2.
5*n**2*(n + 5)
Find n, given that 3*n**3 + 372*n**2 + 1449*n + 1080 = 0.
-120, -3, -1
Factor -3*w**3/7 - 150*w**2/7 + 3*w/7 + 150/7.
-3*(w - 1)*(w + 1)*(w + 50)/7
Solve 3*x**4/8 - 3*x**3/8 - 69*x**2/8 - 117*x/8 - 27/4 = 0 for x.
-3, -1, 6
Factor g**3/3 + 16*g**2/3 + 77*g/3 + 98/3.
(g + 2)*(g + 7)**2/3
Determine p, given that 2*p**4/13 - 604*p**3/13 = 0.
0, 302
Factor 2*y**2/13 + 30*y/13 - 68/13.
2*(y - 2)*(y + 17)/13
Factor 4*w**3 + 10424*w**2 + 6791236*w.
4*w*(w + 1303)**2
Find g such that -g**4/6 + 65*g**3/3 + g**2/6 - 65*g/3 = 0.
-1, 0, 1, 130
Determine n, given that -2*n**2/17 + 1162*n/17 - 1160/17 = 0.
1, 580
Determine m so that m**2/6 - 53*m/6 = 0.
0, 53
Factor 6*h**4/7 - 6*h**3 + 36*h**2/7.
6*h**2*(h - 6)*(h - 1)/7
Suppose 3*q**5/4 - q**4/4 - 19*q**3/4 - 3*q**2/4 + 8*q + 5 = 0. What is q?
-5/3, -1, 2
Factor 2*u**2 - 286*u - 580.
2*(u - 145)*(u + 2)
Factor -q**2/2 + 3*q + 8.
-(q - 8)*(q + 2)/2
Factor -x**5 - 31*x**4 + 193*x**3 + 475*x**2 + 252*x.
-x*(x - 7)*(x + 1)**2*(x + 36)
Solve 3*r**3 - 45*r**2 + 42*r = 0.
0, 1, 14
Find q, given that -q**4/5 + 77*q**3/5 - 76*q**2/5 = 0.
0, 1, 76
Factor -276*l**2 + 3*l.
-3*l*(92*l - 1)
Determine n, given that n**2/5 + 846*n/5 + 178929/5 = 0.
-423
Factor -2*g**3/7 + 10*g**2/7 - 6*g/7 - 