ctor -3*x**4 - 24*x**3 - 3*x**2 + 126*x.
-3*x*(x - 2)*(x + 3)*(x + 7)
Find n such that -12*n**3 + 244*n**2 + 1072*n - 384 = 0.
-4, 1/3, 24
What is d in -14*d**5 - 664*d**4 - 10362*d**3 - 50912*d**2 + 37376*d + 24576 = 0?
-16, -3/7, 1
Factor c**2/4 + 11*c/4 - 38.
(c - 8)*(c + 19)/4
Factor -2*d**3/21 + 22*d**2/7 + 72*d/7.
-2*d*(d - 36)*(d + 3)/21
Determine t so that 2*t**2 - 236*t + 464 = 0.
2, 116
Find h such that -h**5/3 - 52*h**4/3 - 374*h**3/3 - 992*h**2/3 - 355*h - 132 = 0.
-44, -3, -1
Factor -a**3/4 - 11*a**2 - 155*a/4 + 50.
-(a - 1)*(a + 5)*(a + 40)/4
Factor u**2/8 - 15*u/8 + 13/4.
(u - 13)*(u - 2)/8
What is v in -2*v**2/9 + 508*v/9 - 502/3 = 0?
3, 251
Factor 2*v**2/7 - 6*v - 200/7.
2*(v - 25)*(v + 4)/7
Factor 2*j**2/15 + 34*j/15 - 8.
2*(j - 3)*(j + 20)/15
Determine d so that 7*d**5 - 51*d**4 - 112*d**3 + 36*d**2 = 0.
-2, 0, 2/7, 9
Factor -l**3/5 + 8*l**2/5 + 53*l/5 - 12.
-(l - 12)*(l - 1)*(l + 5)/5
Solve 4*u**3 + 44*u**2 + 156*u + 180 = 0.
-5, -3
Suppose -4*j**2 + 188*j = 0. What is j?
0, 47
Factor 2*l**4/9 + 32*l**3/9 - 34*l**2/9.
2*l**2*(l - 1)*(l + 17)/9
Suppose 5*t**4 - 55*t**3 - 60*t**2 = 0. Calculate t.
-1, 0, 12
What is z in z**3/2 - 9*z**2 + 105*z/2 - 98 = 0?
4, 7
Suppose -5*g**5 - 10*g**4 + 15*g**3 + 20*g**2 - 20*g = 0. Calculate g.
-2, 0, 1
Solve -10*c**2/13 - 174*c/13 - 68/13 = 0 for c.
-17, -2/5
Factor 2*x**3/5 + 24*x**2/5 - 362*x/5 + 336/5.
2*(x - 8)*(x - 1)*(x + 21)/5
Let 4*d**4 - 332*d**3 - 336*d**2 = 0. Calculate d.
-1, 0, 84
Factor -11*r**3/3 - 188*r**2/3 - 343*r/3 - 166/3.
-(r + 1)**2*(11*r + 166)/3
Solve 3*c**4 + 12*c**3 - 135*c**2 - 588*c - 588 = 0 for c.
-7, -2, 7
Solve 4*a**3 + 1820*a**2 - 7344*a = 0.
-459, 0, 4
Find o, given that 405*o**4 - 257355*o**3 + 371090*o**2 - 126820*o + 12680 = 0.
2/9, 1, 634
Factor -5*p**5/3 + 115*p**4/3 - 280*p**3 + 1600*p**2/3 + 2560*p/3.
-5*p*(p - 8)**3*(p + 1)/3
What is u in 2*u**3 - 140*u**2 + 658*u - 520 = 0?
1, 4, 65
Let 5*w**4 + 10*w**3 - 15*w**2 - 20*w + 20 = 0. What is w?
-2, 1
Let 7*x**5 - 3*x**4 - 7*x**3 + 3*x**2 = 0. What is x?
-1, 0, 3/7, 1
Let -8*q**5 + 124*q**4 + 76*q**3 - 188*q**2 - 68*q + 64 = 0. Calculate q.
-1, 1/2, 1, 16
Solve 6*d**4/5 - 116*d**3/5 + 104*d**2 + 80*d = 0 for d.
-2/3, 0, 10
Factor 5*f**4 - 35*f**3 + 70*f**2 - 40*f.
5*f*(f - 4)*(f - 2)*(f - 1)
Suppose -w**2 - 552*w + 553 = 0. What is w?
-553, 1
What is a in a**4/2 - 15*a**3/2 + 63*a**2/2 - 81*a/2 = 0?
0, 3, 9
What is d in 13*d**5/2 - 118*d**4 + 465*d**3/2 - 137*d**2 + 16*d = 0?
0, 2/13, 1, 16
Solve 2*m**2 - 2300*m + 661250 = 0.
575
Find g such that g**2 - 38*g + 361 = 0.
19
Let 5*d**2 + 5*d - 150 = 0. What is d?
-6, 5
Factor 4*s**2/7 + 2196*s.
4*s*(s + 3843)/7
Factor 10*q**4 - 49*q**3 + 78*q**2 - 44*q + 8.
(q - 2)**2*(2*q - 1)*(5*q - 2)
Determine f, given that -14*f**4/9 + 248*f**3/9 + 338*f**2/9 + 76*f/9 = 0.
-1, -2/7, 0, 19
What is t in 2*t**5 + 76*t**4 + 716*t**3 - 224*t**2 - 2014*t + 1444 = 0?
-19, -2, 1
Factor -11*n**2/3 + 19*n/3 - 8/3.
-(n - 1)*(11*n - 8)/3
Find r, given that 2*r**2/9 - 26*r/3 + 76/9 = 0.
1, 38
Factor -2*c**4 - 122*c**3 + 126*c**2 + 122*c - 124.
-2*(c - 1)**2*(c + 1)*(c + 62)
Factor -p**5/3 - 13*p**4/3.
-p**4*(p + 13)/3
Factor -4*d**3 + 264*d**2 + 540*d + 272.
-4*(d - 68)*(d + 1)**2
Determine s, given that -2*s**4/11 - 108*s**3/11 - 1746*s**2/11 - 7776*s/11 - 10368/11 = 0.
-24, -3
Determine y, given that 16*y**5 + 240*y**4 - 2124*y**3 - 2296*y**2 - 588*y = 0.
-21, -1/2, 0, 7
Factor -2*c**4 + 30*c**3 + 234*c**2 + 370*c + 168.
-2*(c - 21)*(c + 1)**2*(c + 4)
Determine h, given that -3*h**2/4 - 9369*h/2 - 29259387/4 = 0.
-3123
Factor 3*d**3 - 1990*d**2 + 4621*d + 3966.
(d - 661)*(d - 3)*(3*d + 2)
Determine q so that -90*q**5 + 15*q**4 + 140*q**3 + 15*q**2 - 60*q - 20 = 0.
-2/3, -1/2, 1
Factor 5*l**2 + 610*l.
5*l*(l + 122)
Factor 5*h**2 + 90*h + 325.
5*(h + 5)*(h + 13)
Solve o**3/2 + 75*o**2/2 - 477*o/2 + 729/2 = 0 for o.
-81, 3
Factor -3*r**3/5 - 21*r**2/5 + 168*r/5 - 144/5.
-3*(r - 4)*(r - 1)*(r + 12)/5
Solve 3*m**4/5 - 48*m**3/5 + 219*m**2/5 - 54*m = 0.
0, 2, 5, 9
Suppose u**5/3 - 4*u**4/3 + 5*u**3/3 - 2*u**2/3 = 0. Calculate u.
0, 1, 2
Determine d, given that -5*d**2/2 + 145*d + 295/2 = 0.
-1, 59
Factor -4*t**3 + 4140*t**2 - 1064988*t - 3232332.
-4*(t - 519)**2*(t + 3)
Let -3*b**4 - 24*b**3 - 69*b**2 - 84*b - 36 = 0. What is b?
-3, -2, -1
Factor g**2 - 4080*g + 4161600.
(g - 2040)**2
Factor -2*u**2/13 + 2*u/13 + 4/13.
-2*(u - 2)*(u + 1)/13
Factor 3*m**3/5 - 153*m**2/5 + 2601*m/5 - 14739/5.
3*(m - 17)**3/5
Solve -2*i**2 - 46*i + 48 = 0.
-24, 1
Factor 5*h**2 - 530*h + 525.
5*(h - 105)*(h - 1)
What is r in 4*r**4 - 28*r**3 - 40*r**2 + 64*r = 0?
-2, 0, 1, 8
Factor -6*c**3 - 33*c**2 - 39*c - 12.
-3*(c + 1)*(c + 4)*(2*c + 1)
Find m, given that -9*m**5 - 6*m**4 + 24*m**3 + 18*m**2 - 15*m - 12 = 0.
-1, 1, 4/3
Factor -g**3 + 175*g**2/8 - 149*g/4 - 5.
-(g - 20)*(g - 2)*(8*g + 1)/8
Suppose 245*z**2 + 910*z + 845 = 0. What is z?
-13/7
Factor -v**2/4 + 59*v/4 - 29/2.
-(v - 58)*(v - 1)/4
Factor -t**4/2 + 98*t**3 - 4499*t**2 - 29694*t - 91809/2.
-(t - 101)**2*(t + 3)**2/2
Factor -2*l**4/11 - 284*l**3/11 - 942*l**2 - 19880*l/11 - 9800/11.
-2*(l + 1)**2*(l + 70)**2/11
Find u, given that -30*u**2 + 129*u - 36 = 0.
3/10, 4
Factor 3*l**3 + 246*l**2 - 504*l.
3*l*(l - 2)*(l + 84)
Suppose -l**5 + 16*l**4 - 90*l**3 + 188*l**2 - 5*l - 300 = 0. What is l?
-1, 3, 4, 5
Solve -9*h**4 + 120*h**3 + 906*h**2 + 1224*h - 513 = 0.
-3, 1/3, 19
Solve 2*a**4/7 + 48*a**3 - 5340*a**2/7 + 27200*a/7 - 45750/7 = 0.
-183, 5
Find y, given that -2*y**4 - 188*y**3 - 552*y**2 - 548*y - 182 = 0.
-91, -1
Factor -g**4 - 13*g**3.
-g**3*(g + 13)
Determine u, given that -u**4 - 72*u**3 + 225*u**2 - 4*u - 300 = 0.
-75, -1, 2
Factor -8*o**3 + 1310*o**2 - 53464*o - 13448.
-2*(o - 82)**2*(4*o + 1)
Factor d**5 - 2*d**4 - 4*d**3 + 2*d**2 + 3*d.
d*(d - 3)*(d - 1)*(d + 1)**2
Suppose 30*t**3 - 95*t**2 + 15*t = 0. What is t?
0, 1/6, 3
Factor -3*o**4/5 - 36*o**3 - 522*o**2/5 - 516*o/5 - 171/5.
-3*(o + 1)**3*(o + 57)/5
Find t, given that 4*t**3 + 4*t**2 - 260*t - 900 = 0.
-5, 9
Let 4*j**4 + 56*j**3 + 212*j**2 + 160*j = 0. Calculate j.
-8, -5, -1, 0
Find r, given that 4*r**3/9 + 61*r**2/3 - 26*r + 47/9 = 0.
-47, 1/4, 1
Factor 6*p**3 - 1971*p**2 + 162360*p - 80688.
3*(p - 164)**2*(2*p - 1)
Factor 5*a**3 + 55*a**2 + 90*a.
5*a*(a + 2)*(a + 9)
Suppose -2*a**5/7 - 118*a**4/7 - 660*a**3/7 - 184*a**2 - 848*a/7 = 0. What is a?
-53, -2, 0
Suppose -5*a**2 - 2635*a = 0. What is a?
-527, 0
Let 2*x**4/7 - 32*x**3/7 + 138*x**2/7 - 188*x/7 + 80/7 = 0. Calculate x.
1, 4, 10
Suppose v**4 - 6*v**3 + 8*v**2 = 0. What is v?
0, 2, 4
Factor 12*h**4 - 33*h**3 + 51*h - 30.
3*(h - 2)*(h - 1)**2*(4*h + 5)
Factor -4*b**2 - 116*b - 112.
-4*(b + 1)*(b + 28)
Solve t**2 + 68*t = 0.
-68, 0
Factor 28*d**2 + 1476*d - 424.
4*(d + 53)*(7*d - 2)
Factor p**3 - 660*p**2 + 108237*p + 219122.
(p - 331)**2*(p + 2)
Factor 5*x**2 - 30*x - 560.
5*(x - 14)*(x + 8)
Let -3*s**2 - 150*s + 153 = 0. Calculate s.
-51, 1
What is d in -2*d**2/9 + 92*d/9 - 1058/9 = 0?
23
Let -3*c**5 - 15*c**4 + 195*c**3 - 105*c**2 - 840*c - 528 = 0. Calculate c.
-11, -1, 4
Solve 3*t**4/2 - 35*t**3 + 247*t**2/2 = 0.
0, 13/3, 19
Find r, given that 4*r**3 - 124*r**2 + 120*r = 0.
0, 1, 30
Let p**4/2 + 25*p**3 - 450*p**2 - 40500*p - 540000 = 0. Calculate p.
-30, 40
Suppose y**2/3 + 564*y + 238572 = 0. Calculate y.
-846
Factor -o**5 - 62*o**4 - 1024*o**3 + 2304*o**2 + 110592*o - 221184.
-(o - 8)*(o - 2)*(o + 24)**3
Determine b so that -2*b**4 - 114*b**3 - 526*b**2 - 294*b + 936 = 0.
-52, -3, 1
Determine z so that 3*z**4/2 + 129*z**3/2 - 1227*z**2/2 - 129*z/2 + 612 = 0.
-51, -1, 1, 8
Find m such that -m**4/3 - 18*m**3 + 475*m**2/3 - 428*m + 372 = 0.
-62, 2, 3
Factor -5*y**3/2 - 9*y**2/2 + 4*y + 6.
-(y + 1)*(y + 2)*(5*y - 6)/2
Let -n**5/2 + 9*n**4/2 + 17*n**3 + 12*n**2 = 0. What is n?
-2, -1, 0, 12
Find z such that 2*z**4/7 - 18*z**3/7 - 2*z**2/7 + 18*z/7 = 0.
-1, 0, 1, 9
Factor -17*a**2 - 312*a - 108.
-(a + 18)*(17*a + 6)
Factor -t**4/2 - 29*t**3/2 + t**2/2 + 29*t/2.
-t*(t - 1)*(t + 1)*(t + 29)/2
Factor -5*a**3 - 30*a**2 - 60*a - 40.
-5*(a + 2)**3
Factor -4*u**4 + 4*u**3 + 4*u**2 - 4*u.
-4*u*(u - 1)**2*(u + 1)
Factor 4*u**4 + 12*u**3 - 40*u**2.
4*u**2*(u - 2)*(u + 5)
Solve 2*u**3/11 + 504*u**2/11 - 1014*u/11 + 508/11 = 0