-g**3 + 22*g**2 + 15*g - 1800 = 0.
-8, 15
Factor 3*t**2 - 33*t - 78.
3*(t - 13)*(t + 2)
Factor z**2/4 - 425*z/4 + 423/2.
(z - 423)*(z - 2)/4
Suppose 2*r**2 + 398*r = 0. Calculate r.
-199, 0
Solve 5*n**3 - 95*n**2 = 0 for n.
0, 19
Find h such that 50*h**5 + 14710*h**4 - 56392*h**3 + 67840*h**2 - 30976*h + 4768 = 0.
-298, 2/5, 1, 2
Let 183*v**2/8 + 2469*v/2 - 81/2 = 0. What is v?
-54, 2/61
Solve 7*z**3/3 + 23*z**2/3 + 16*z/3 = 0.
-16/7, -1, 0
Factor -4*k**3 - 360*k**2 - 6468*k + 76832.
-4*(k - 8)*(k + 49)**2
Find y such that -y**4/4 + 3*y**3 + 29*y**2/4 - 3*y - 7 = 0.
-2, -1, 1, 14
Factor 100*m**3 - 760*m**2 - 2256*m - 1440.
4*(m - 10)*(5*m + 6)**2
Let -2*t**5 - 14*t**4 - 26*t**3 + 6*t**2 + 36*t = 0. Calculate t.
-3, -2, 0, 1
Find c such that 9*c**2/4 + 2319*c/2 + 1545/4 = 0.
-515, -1/3
Factor -4*d**3 - 32*d**2 - 84*d - 72.
-4*(d + 2)*(d + 3)**2
Determine h, given that -h**2 + 80*h - 79 = 0.
1, 79
Determine b so that 2*b**3/19 - 42*b**2/19 - 92*b/19 = 0.
-2, 0, 23
Find r such that -5*r**2 + 60*r - 180 = 0.
6
Factor -2*x**3/13 + 256*x**2/13 + 518*x/13 + 20.
-2*(x - 130)*(x + 1)**2/13
Let 21*r**3 + 1728*r**2 + 24684*r + 6912 = 0. What is r?
-64, -18, -2/7
Factor -2*n**3/5 + 8*n**2 + 146*n/5 - 184/5.
-2*(n - 23)*(n - 1)*(n + 4)/5
Let 4*y**5/3 + 698*y**4 + 277688*y**3/3 + 950552*y**2/3 + 178880*y - 540800/3 = 0. What is y?
-260, -2, 1/2
Let -5*f**5 + 35*f**4 + 255*f**3 + 505*f**2 + 410*f + 120 = 0. What is f?
-2, -1, 12
Factor 2*h**3/5 - 18*h**2 - 186*h/5 - 94/5.
2*(h - 47)*(h + 1)**2/5
Factor -u**2/6 - 175*u/6.
-u*(u + 175)/6
Factor -3*i**3 + 243*i**2 - 5472*i + 21660.
-3*(i - 38)**2*(i - 5)
Determine j, given that 23*j**3/7 - 163*j**2/7 + 290*j/7 - 24/7 = 0.
2/23, 3, 4
Factor -4*m**3/9 - 64*m**2/9 + 508*m/9 - 440/9.
-4*(m - 5)*(m - 1)*(m + 22)/9
Find j such that 3*j**2 - 19*j + 6 = 0.
1/3, 6
Factor -5*d**2 - 130*d - 765.
-5*(d + 9)*(d + 17)
Factor f**5/2 - 41*f**4/2 + 117*f**3/2 - 115*f**2/2 + 19*f.
f*(f - 38)*(f - 1)**3/2
What is x in -3*x**5 - 18*x**4 - 27*x**3 + 12*x**2 + 36*x = 0?
-3, -2, 0, 1
What is t in -5*t**5/2 + t**4/6 + 31*t**3/3 - 2*t**2/3 - 4*t/3 = 0?
-2, -1/3, 0, 2/5, 2
Solve -85*q**3 - 265*q**2 - 30*q = 0 for q.
-3, -2/17, 0
Factor m**5/6 - m**4/6 - 7*m**3/2 - 47*m**2/6 - 20*m/3 - 2.
(m - 6)*(m + 1)**3*(m + 2)/6
Factor t**3 - 28*t**2 - 31*t + 58.
(t - 29)*(t - 1)*(t + 2)
Suppose -f**5/4 - 15*f**4/4 - 19*f**3/2 - 6*f**2 = 0. Calculate f.
-12, -2, -1, 0
Factor 5*o**3 - 5*o.
5*o*(o - 1)*(o + 1)
Factor 2*x**5/7 - 10*x**4/7 - 12*x**3/7.
2*x**3*(x - 6)*(x + 1)/7
What is d in -127*d**5/5 + 25*d**4 + 383*d**3/5 - 121*d**2/5 - 256*d/5 - 4/5 = 0?
-1, -2/127, 1, 2
Factor 32*o**3/9 + 80*o**2/3 - 14*o + 16/9.
2*(o + 8)*(4*o - 1)**2/9
Factor -7*a**4 - 51*a**3 - 70*a**2 + 96*a + 32.
-(a - 1)*(a + 4)**2*(7*a + 2)
Solve -3*n**3/7 + 108*n**2/7 - 720*n/7 + 192 = 0.
4, 28
Determine h so that 3*h**3 - 390*h**2 - 3*h + 390 = 0.
-1, 1, 130
Suppose 5*q**5 + 35*q**4 - 110*q**3 - 170*q**2 + 105*q + 135 = 0. What is q?
-9, -1, 1, 3
Factor -49*x**4 + 546*x**3 - 1969*x**2 + 2496*x - 1024.
-(x - 1)**2*(7*x - 32)**2
Let -4*t**5 + 44*t**3 + 72*t**2 + 32*t = 0. What is t?
-2, -1, 0, 4
Determine d, given that 6*d**5/5 + 18*d**4 + 30*d**3 - 18*d**2 - 156*d/5 = 0.
-13, -2, -1, 0, 1
Suppose -a**2 - 36*a + 76 = 0. Calculate a.
-38, 2
Factor 3*y**4 - 132*y**3 - 141*y**2 + 270*y.
3*y*(y - 45)*(y - 1)*(y + 2)
Suppose -2*x**4 - 8*x**3 - 6*x**2 = 0. Calculate x.
-3, -1, 0
Factor y**2/11 + 15*y/11 + 36/11.
(y + 3)*(y + 12)/11
Factor 2*c**4/7 + 18*c**3/7 + 30*c**2/7 - 50*c/7.
2*c*(c - 1)*(c + 5)**2/7
Let 7921*j**4/5 - 3204*j**3 + 8278*j**2/5 - 36*j + 1/5 = 0. Calculate j.
1/89, 1
Factor -3*r**3 - 72*r**2 + 243*r.
-3*r*(r - 3)*(r + 27)
Solve -2*p**2 + 620*p - 618 = 0 for p.
1, 309
Factor v**3 + 24*v**2.
v**2*(v + 24)
Suppose -4*a**2 + 1381*a - 345 = 0. What is a?
1/4, 345
Factor -248*f**2/3 - 1748*f/3 - 28.
-4*(f + 7)*(62*f + 3)/3
Suppose 2*o**3 + 8*o**2 - 58*o + 48 = 0. What is o?
-8, 1, 3
Determine j so that -7*j**4 + 396*j**3 + 1015*j**2 - 708*j = 0.
-3, 0, 4/7, 59
Factor -h**2 - 20*h - 36.
-(h + 2)*(h + 18)
Factor 2*k**2 + 334*k + 332.
2*(k + 1)*(k + 166)
Solve -3*c**5/7 - 3*c**4/7 + 9*c**3/7 + 3*c**2/7 - 6*c/7 = 0.
-2, -1, 0, 1
Factor -3*u**2 - 87*u.
-3*u*(u + 29)
Factor -w**2 + 964*w - 963.
-(w - 963)*(w - 1)
Let 6*p**3/5 - 7656*p**2/5 + 45774*p/5 - 13716 = 0. Calculate p.
3, 1270
Suppose 2*j**4/9 + 40*j**3/9 + 52*j**2/3 + 8*j - 30 = 0. Calculate j.
-15, -3, 1
Factor -m**3 + 176*m**2 + m - 176.
-(m - 176)*(m - 1)*(m + 1)
Factor f**4/5 + 8*f**3 + 76*f**2/5.
f**2*(f + 2)*(f + 38)/5
Determine o so that -2*o**5/13 - 28*o**4 - 24656*o**3/13 - 727904*o**2/13 - 7397536*o/13 + 17909824/13 = 0.
-46, 2
Solve 3*b**3 - 60*b**2 + 57*b = 0 for b.
0, 1, 19
Factor -l**3/5 + 39*l**2/5.
-l**2*(l - 39)/5
Let u**3 + 9*u**2 = 0. What is u?
-9, 0
Solve 4*v**3 + 136*v**2 = 0 for v.
-34, 0
Suppose -4*o**4/5 - 3436*o**3/5 - 147232*o**2 + 147920*o = 0. What is o?
-430, 0, 1
Factor -2*l**4/9 + 50*l**3/9 - 92*l**2/9.
-2*l**2*(l - 23)*(l - 2)/9
Solve y**3/4 - 27*y**2 - 111*y - 112 = 0 for y.
-2, 112
Determine q so that -5*q**2 - 1980*q = 0.
-396, 0
Solve 2*k**3/9 - 4*k**2/9 - 262*k/9 + 88/3 = 0.
-11, 1, 12
Factor 5*w**2 - 3075*w - 6170.
5*(w - 617)*(w + 2)
Suppose a**5 - a**4 - 6*a**3 - 2*a**2 + 5*a + 3 = 0. Calculate a.
-1, 1, 3
Suppose -o**4 + 429*o**3 - 45360*o**2 - 139968*o = 0. What is o?
-3, 0, 216
Factor -3*g**3/5 + 32*g**2/5 - 4*g.
-g*(g - 10)*(3*g - 2)/5
What is t in t**5/6 - 5*t**4/6 + t**3/2 + 5*t**2/6 - 2*t/3 = 0?
-1, 0, 1, 4
Determine z, given that 60*z**4 - 12655*z**3 - 1060*z**2 + 1055*z = 0.
-1/3, 0, 1/4, 211
What is m in 2*m**3/7 + 342*m**2 + 103530*m + 708050 = 0?
-595, -7
Factor -21*p**3 + 65*p**2 + 78*p - 8.
-(p - 4)*(p + 1)*(21*p - 2)
Determine p so that -9*p**5 - 42*p**4 - 33*p**3 + 48*p**2 + 36*p = 0.
-3, -2, -2/3, 0, 1
Find d such that -2*d**4 + 50*d**3 - 44*d**2 - 96*d = 0.
-1, 0, 2, 24
Factor 76*o**2/3 + 256*o/3 - 64.
4*(o + 4)*(19*o - 12)/3
Let 2*p**5/5 - 426*p**4/5 + 26876*p**3/5 - 431532*p**2/5 + 156826*p - 75810 = 0. What is p?
1, 21, 95
Suppose 5*a**3 - 160*a**2 + 445*a - 290 = 0. What is a?
1, 2, 29
Factor 20*n**2 + 144*n + 28.
4*(n + 7)*(5*n + 1)
What is f in 40*f**4 + 105*f**3 - 120*f**2 - 235*f + 210 = 0?
-21/8, -2, 1
Solve -h**5/4 + 23*h**4/4 - 63*h**3/4 - 787*h**2/4 - 322*h - 147 = 0.
-3, -1, 14
Find m such that -12*m**5 - 249*m**4 - 1557*m**3 - 2511*m**2 + 729*m = 0.
-9, -3, 0, 1/4
Determine l, given that 266*l**5 + 1378*l**4 + 232*l**3 - 40*l**2 = 0.
-5, -2/7, 0, 2/19
Factor -l**4/5 - 14*l**3/5 - 73*l**2/5 - 168*l/5 - 144/5.
-(l + 3)**2*(l + 4)**2/5
Factor 4*j**2/5 + 21544*j/5 + 29008996/5.
4*(j + 2693)**2/5
Factor -3*h**2 + 357*h - 3564.
-3*(h - 108)*(h - 11)
What is a in -a**4 - 6*a**3 + 32*a = 0?
-4, 0, 2
Suppose -2*h**5 + 22*h**4 + 24*h**3 = 0. What is h?
-1, 0, 12
Suppose 2*o**4/15 + 32*o**3/15 - 86*o**2/5 - 3088*o/15 - 6688/15 = 0. What is o?
-19, -4, 11
Factor -y**5/6 + 11*y**4/3 + 203*y**3/6.
-y**3*(y - 29)*(y + 7)/6
Factor -2*y**2/5 - 8*y/5 - 8/5.
-2*(y + 2)**2/5
Factor 2*t**2/9 - 596*t/9.
2*t*(t - 298)/9
Suppose -2*w**2/5 - 3448*w/5 - 1486088/5 = 0. Calculate w.
-862
Factor s**2/7 + 23*s/7 - 24/7.
(s - 1)*(s + 24)/7
Find t such that t**3 - 11*t**2 - 29*t + 39 = 0.
-3, 1, 13
Suppose -y**2/6 + 11*y - 363/2 = 0. What is y?
33
Solve 5*j**4 - 3825*j**3 + 975375*j**2 - 82906875*j = 0.
0, 255
Determine h, given that -3*h**3 - 78*h**2 + 273*h + 348 = 0.
-29, -1, 4
Factor i**3/3 + 14*i**2 + 39*i.
i*(i + 3)*(i + 39)/3
Factor n**2 - 7*n + 12.
(n - 4)*(n - 3)
Determine z so that 28*z**3/5 + 1600*z**2 + 21484*z/5 - 6792/5 = 0.
-283, -3, 2/7
Factor -2*m**5/9 - 814*m**4/9 - 83230*m**3/9 - 82418*m**2/9.
-2*m**2*(m + 1)*(m + 203)**2/9
Factor 4*y**3 - 12*y**2 + 16.
4*(y - 2)**2*(y + 1)
Find n, given that n**2/3 + 47*n/3 = 0.
-47, 0
Let -2*c**3/11 + 628*c**2/11 - 1250*c/11 + 624/11 = 0. What is c?
1, 312
What is q in -6*q**3/5 + 372*q**2/5 - 6438*q/5 + 20184/5 = 0?
4, 29
Factor -45*q**3 - 2915*q**2 + 9830*q - 2040.
-5*(q - 3)*(q + 68)*(9*q - 2)
Factor -4*v**3 + 296*v**2 + 1564*v + 1264.
-4*(v - 79)*(v + 1)*(v + 4)
Solve -5*w**4 - 55*w**3 - 90*w**2 = 0 for w.
-9, -2, 0
Factor -1156*a**3 + 63308*a**2 + 14944*a + 880.
-4*(a - 55)*(17*a + 2)**2
Let 2*l**5/3 - 14*l**4/3 