, given that 102*y**2/5 + 3*y/5 = 0.
-1/34, 0
Determine y so that -3*y**4/4 + 24*y**3 - 639*y**2/4 - 1275*y/2 + 1734 = 0.
-4, 2, 17
Determine h so that -2*h**3 - 14*h**2 + 34*h - 18 = 0.
-9, 1
Determine b, given that -5*b**2 + 2835*b + 8550 = 0.
-3, 570
Factor 3*k**2/4 - 24*k + 192.
3*(k - 16)**2/4
Factor -2*t**2/13 + 16*t/13 + 10.
-2*(t - 13)*(t + 5)/13
Factor 5*k**2 - 90*k.
5*k*(k - 18)
Determine k, given that -4*k**3/5 - 8*k**2/5 - 4*k/5 = 0.
-1, 0
Factor 3*p**3/7 - 9*p**2 + 297*p/7 - 405/7.
3*(p - 15)*(p - 3)**2/7
Solve -3*n**4/5 - 17097*n**3/5 - 6494580*n**2 - 4108902000*n + 4115400000 = 0.
-1900, 1
Factor 3*o**3/2 + 13377*o**2/2 + 26745*o/2 + 13371/2.
3*(o + 1)**2*(o + 4457)/2
Determine z, given that 2*z**4/11 + 20*z**3 + 6474*z**2/11 + 2120*z + 22472/11 = 0.
-53, -2
Determine k, given that -k**5 + 125*k**4 - 243*k**3 - 369*k**2 = 0.
-1, 0, 3, 123
Find c, given that -2*c**5/3 + 46*c**4/3 + 154*c**3/3 + 58*c**2/3 - 152*c/3 - 104/3 = 0.
-2, -1, 1, 26
Let c**2/5 + 2*c/5 - 3/5 = 0. Calculate c.
-3, 1
Find s such that -4*s**5 - 21*s**4 - 37*s**3 - 24*s**2 - 4*s = 0.
-2, -1, -1/4, 0
Let -2*l**3/11 + 740*l**2/11 - 68450*l/11 = 0. What is l?
0, 185
Find u such that -5*u**5 - 125*u**4 - 710*u**3 + 970*u**2 + 715*u - 845 = 0.
-13, -1, 1
Factor -25*q**4/2 - 35*q**3/2 - 11*q**2/2 - q/2.
-q*(q + 1)*(5*q + 1)**2/2
Factor 2*f**4 + 50*f**3 - 164*f**2 + 112*f.
2*f*(f - 2)*(f - 1)*(f + 28)
Let 637563*v**2/4 + 1383*v + 3 = 0. Calculate v.
-2/461
Factor 2*i**2 + 4*i - 6.
2*(i - 1)*(i + 3)
Determine r, given that 338*r**5 - 2470*r**4 + 3440*r**3 + 4520*r**2 - 1600*r + 128 = 0.
-1, 2/13, 4
Factor -5*t**3 - 5*t**2 + 45*t + 45.
-5*(t - 3)*(t + 1)*(t + 3)
Let 3*m**4 + 63*m**3 + 297*m**2 - 363*m = 0. What is m?
-11, 0, 1
Find m, given that -5*m**5/2 + 17*m**4/2 + 19*m**3/2 - 25*m**2/2 - 7*m + 4 = 0.
-1, 2/5, 1, 4
Factor -28*j**5 + 136*j**4 - 264*j**3 + 256*j**2 - 124*j + 24.
-4*(j - 1)**4*(7*j - 6)
Factor 20*f**4 - 105*f**3 + 185*f**2 - 120*f + 20.
5*(f - 2)**2*(f - 1)*(4*f - 1)
What is g in 7*g**5/4 + 5*g**4/4 - 11*g**3 - 4*g**2 + 16*g - 4 = 0?
-2, 2/7, 1, 2
Solve -2*u**3 - 126*u**2 + 2058*u - 7546 = 0 for u.
-77, 7
Determine v so that 30*v**5/11 - 34*v**4/11 - 626*v**3/11 + 1434*v**2/11 - 180*v/11 = 0.
-5, 0, 2/15, 3
Factor -6*f**2/5 - 526*f - 876/5.
-2*(f + 438)*(3*f + 1)/5
Determine h, given that 3*h**2/7 - 153*h/7 = 0.
0, 51
Factor 3*v**2 + 1020*v - 1023.
3*(v - 1)*(v + 341)
Factor -5*d**2 - 15*d - 10.
-5*(d + 1)*(d + 2)
Determine a, given that 10*a**2/11 - 122*a/11 + 24/11 = 0.
1/5, 12
Factor 5*c**5 + 280*c**4 + 545*c**3 + 270*c**2.
5*c**2*(c + 1)**2*(c + 54)
Factor -2*l**5/7 + 100*l**4/7 - 1250*l**3/7.
-2*l**3*(l - 25)**2/7
Factor -242*h**4/7 + 880*h**3/7 + 344*h**2/7 + 32*h/7.
-2*h*(h - 4)*(11*h + 2)**2/7
Factor 3*j**4/2 + 7*j**3 + 15*j**2/2 - 6*j - 10.
(j - 1)*(j + 2)**2*(3*j + 5)/2
Factor r**3 - 220*r**2 - 221*r.
r*(r - 221)*(r + 1)
Suppose -z**3 - 7*z**2 - 12*z = 0. Calculate z.
-4, -3, 0
Factor -3*u**3 + 892*u**2 + 597*u - 298.
-(u - 298)*(u + 1)*(3*u - 1)
Factor z**2 - 3*z - 10.
(z - 5)*(z + 2)
Factor 50*c**4 - 310*c**3 - 672*c**2 - 376*c - 64.
2*(c - 8)*(c + 1)*(5*c + 2)**2
Suppose -t**2/3 + 88*t/3 - 29 = 0. What is t?
1, 87
Factor -2*m**2/3 - 128*m + 1568/3.
-2*(m - 4)*(m + 196)/3
Factor r**3/4 - 7*r**2/2 + 25*r/4 - 3.
(r - 12)*(r - 1)**2/4
Let -2*r**5 - 46*r**4 - 316*r**3 - 776*r**2 - 624*r = 0. Calculate r.
-13, -6, -2, 0
What is i in -76*i**5/7 + 676*i**4/7 - 2132*i**3/7 + 2732*i**2/7 - 1056*i/7 - 144/7 = 0?
-2/19, 1, 2, 3
Factor -5*j**2/4 + 5*j - 15/4.
-5*(j - 3)*(j - 1)/4
Factor 4*f**2/9 + 104*f/9 - 116/3.
4*(f - 3)*(f + 29)/9
Factor -5*c**4 - 170*c**3 - 1445*c**2.
-5*c**2*(c + 17)**2
Suppose 37*n**3 + 446*n**2 - 457*n - 26 = 0. What is n?
-13, -2/37, 1
Let 36*u**3/5 - 3224*u**2/5 - 288*u = 0. What is u?
-4/9, 0, 90
Solve 50*w**2/3 + 46*w/3 - 4/3 = 0 for w.
-1, 2/25
Factor -5*l**2/4 + 6695*l/2 - 8964605/4.
-5*(l - 1339)**2/4
Factor -3*y**3/8 + 207*y**2/4 - 4761*y/2 + 36501.
-3*(y - 46)**3/8
Solve 4*a**2 - 44*a - 240 = 0.
-4, 15
Factor 2*g**3 + 6806*g**2 + 5786800*g - 5793608.
2*(g - 1)*(g + 1702)**2
Factor 2*g**2 + 7256*g + 6581192.
2*(g + 1814)**2
Let 2*x**3/3 + 68*x**2/3 - 382*x/3 + 104 = 0. Calculate x.
-39, 1, 4
Determine t, given that 4*t**4 - 56*t**3 - 196*t**2 - 136*t = 0.
-2, -1, 0, 17
Factor -4*s**2 + 232*s - 660.
-4*(s - 55)*(s - 3)
Suppose 5*t**3 + 310*t**2 - 635*t + 320 = 0. What is t?
-64, 1
Factor -l**2/10 + l/10 + 1/5.
-(l - 2)*(l + 1)/10
Factor 4*d**4/5 + 28*d**3/5 - 36*d**2/5 - 28*d/5 + 32/5.
4*(d - 1)**2*(d + 1)*(d + 8)/5
Find w, given that -65*w**2 + 880*w + 420 = 0.
-6/13, 14
Find p such that 3*p**3 - 42*p**2 + 75*p - 36 = 0.
1, 12
Let -8*f**5/7 - 60*f**4/7 - 20*f**3/7 + 60*f**2/7 + 4*f = 0. Calculate f.
-7, -1, -1/2, 0, 1
Find t such that -2*t**4 - 26*t**3/3 + 10*t**2 + 14*t - 40/3 = 0.
-5, -4/3, 1
Suppose -2*p**2/9 - 52*p/9 + 58/3 = 0. What is p?
-29, 3
Solve -4*s**4 - 160*s**3 - 156*s**2 = 0 for s.
-39, -1, 0
Find f, given that -2*f**2/15 - 12*f - 270 = 0.
-45
Factor 3*w**2 + 39*w.
3*w*(w + 13)
Suppose 7*m**2 - 419*m + 354 = 0. Calculate m.
6/7, 59
Factor 3*c**4 - 42*c**3 + 144*c**2 - 54*c - 243.
3*(c - 9)*(c - 3)**2*(c + 1)
Find d such that -11163*d**4/2 - 32391*d**3/2 - 19059*d**2/2 + 2115*d/2 - 27 = 0.
-2, -1, 3/61
What is s in -610*s**3 + 4*s**2 + 610*s - 4 = 0?
-1, 2/305, 1
Determine i so that -3*i**2 - 72*i - 432 = 0.
-12
What is l in 4*l**4 + 432*l**3 + 1272*l**2 + 1264*l + 420 = 0?
-105, -1
Let -3*x**2/5 - 15*x + 252/5 = 0. What is x?
-28, 3
Let -5*l**4 - 75*l**3 - 270*l**2 - 200*l = 0. Calculate l.
-10, -4, -1, 0
Solve 12*p**3 + 40*p**2 - 36*p - 16 = 0.
-4, -1/3, 1
Factor -2*s**3/3 + 4*s**2/3 + 2*s/3 - 4/3.
-2*(s - 2)*(s - 1)*(s + 1)/3
Let -12*s**3 - 45*s**2 - 51*s - 18 = 0. What is s?
-2, -1, -3/4
Find h such that -h**2 + 56*h - 784 = 0.
28
Let -m**4 - 27*m**3 - 80*m**2 + 276*m = 0. Calculate m.
-23, -6, 0, 2
Solve x**2/11 + 8*x/11 - 273/11 = 0 for x.
-21, 13
Suppose -r**4/5 - 56*r**3/5 - 203*r**2/5 + 52*r = 0. Calculate r.
-52, -5, 0, 1
What is x in 3*x**5 - 27*x**4 - 51*x**3 + 459*x**2 + 48*x - 432 = 0?
-4, -1, 1, 4, 9
Factor -h**3/8 + 547*h**2/8 - 9452*h + 27744.
-(h - 272)**2*(h - 3)/8
Factor k**5 - 27*k**4 + 212*k**3 - 160*k**2 - 2400*k - 2000.
(k - 10)**3*(k + 1)*(k + 2)
Factor 32*g**3 - 188*g**2 - 248*g - 28.
4*(g - 7)*(g + 1)*(8*g + 1)
Factor -1173512*c**3/5 - 1182704*c**2/5 - 1842*c - 18/5.
-2*(c + 1)*(766*c + 3)**2/5
Factor -k**4 + 6*k**3 - 12*k**2 + 8*k.
-k*(k - 2)**3
Find q, given that -207*q**3/2 - 213*q**2/2 - 3*q = 0.
-1, -2/69, 0
Factor 5*q**2 + 11200*q + 6272000.
5*(q + 1120)**2
Factor 2*p**4 + 4*p**3 - 26*p**2 + 20*p.
2*p*(p - 2)*(p - 1)*(p + 5)
Suppose 2*q**4/9 + 22*q**3/9 + 20*q**2/9 = 0. Calculate q.
-10, -1, 0
Let -2*g**4 + 88*g**3 + 184*g**2 = 0. Calculate g.
-2, 0, 46
Factor -b**5/4 + 9*b**4/4 - 8*b**3 + 14*b**2 - 12*b + 4.
-(b - 2)**4*(b - 1)/4
Factor 3*z**3 - 18*z**2 - 57*z + 72.
3*(z - 8)*(z - 1)*(z + 3)
Solve 10*g**3 - 204*g**2 + 270*g - 76 = 0 for g.
2/5, 1, 19
Factor i**3/6 - 7*i**2 - i/6 + 7.
(i - 42)*(i - 1)*(i + 1)/6
Let -l**4/4 + 2*l**3 + 19*l**2/4 + 5*l/2 = 0. Calculate l.
-1, 0, 10
Suppose -o**5/5 + 2*o**4/5 + 36*o**3/5 - 22*o**2/5 - 71*o - 60 = 0. Calculate o.
-4, -3, -1, 5
Let j**2/4 - 3*j = 0. Calculate j.
0, 12
Find x, given that 3*x**2/2 + 741*x/2 - 1506 = 0.
-251, 4
Factor -3*f**2 + 3*f + 18.
-3*(f - 3)*(f + 2)
Solve -2*t**3/5 - 162*t**2/5 + 66*t - 166/5 = 0.
-83, 1
Factor 9*y**2/4 + 123*y/4 - 21/2.
3*(y + 14)*(3*y - 1)/4
Let -f**2/6 - 2542*f/3 - 3230882/3 = 0. Calculate f.
-2542
Factor z**4 - 97*z**3 + 284*z**2 - 188*z.
z*(z - 94)*(z - 2)*(z - 1)
What is c in 2*c**2 - 1928*c + 464648 = 0?
482
Factor f**4 + 33*f**3 + 349*f**2 + 1407*f + 1666.
(f + 2)*(f + 7)**2*(f + 17)
Solve -5324*i**3 - 2430648*i**2 - 369900432*i - 18764040096 = 0 for i.
-1674/11
Find j, given that 10*j**5 + 444*j**4 + 596*j**3 - 272*j**2 - 606*j - 172 = 0.
-43, -1, -2/5, 1
Factor 15*v**2 - 115*v + 70.
5*(v - 7)*(3*v - 2)
Factor -39*t**2 + 648*t - 2160.
-3*(t - 12)*(13*t - 60)
Factor o**3/3 + 19*o**2/3 + 55*o/3 - 121.
(o - 3)*(o + 11)**2/3
Factor -2*t**2/23 + 2*t/23 + 4/23.
-2*(t - 2)*(t + 1)/23
Find x such that x**5 + x**4 - 13*x**3 - x**2 + 48*x - 36 = 0.
-3, 1, 2
What is o in -3*o**5 - 117*o**