+ 4225*a**2 + 3320*a + 660 = 0. Calculate a.
-33, -2/5
Factor -5*w**4 + 25*w**3 + 15*w**2 - 225*w + 270.
-5*(w - 3)**2*(w - 2)*(w + 3)
Factor 4*d**2/3 + 20*d + 48.
4*(d + 3)*(d + 12)/3
Factor -w**2/6 - 13*w/2 - 19/3.
-(w + 1)*(w + 38)/6
Factor -2*y**2/5 - 2*y + 12/5.
-2*(y - 1)*(y + 6)/5
Solve -2*p**2/7 - 122*p/7 - 236/7 = 0.
-59, -2
Solve 5*d**2 + 135*d + 360 = 0.
-24, -3
Factor r**2/2 + 5*r/2 - 63.
(r - 9)*(r + 14)/2
Factor -g**5 - 88*g**4 - 2904*g**3 - 42592*g**2 - 234256*g.
-g*(g + 22)**4
Factor 5*h**2 + 35*h + 30.
5*(h + 1)*(h + 6)
Let 2*n**4/7 - 2*n**3/7 - 4*n**2/7 = 0. Calculate n.
-1, 0, 2
Solve -2*z**5/7 - 10*z**4/7 - 16*z**3/7 - 8*z**2/7 = 0 for z.
-2, -1, 0
Determine p so that 14*p**4/3 + 704*p**3/15 + 106*p**2/3 - 1232*p/15 - 24/5 = 0.
-9, -2, -2/35, 1
Find c such that 3*c**2/5 - 534*c + 118815 = 0.
445
Factor 5*m**3 + 1760*m**2 - 1775*m - 3530.
5*(m - 2)*(m + 1)*(m + 353)
Factor 2*y**5 + 12*y**4 + 4*y**3 - 40*y**2 - 54*y - 20.
2*(y - 2)*(y + 1)**3*(y + 5)
Suppose -15*m**4 - 350*m**3 - 2200*m**2 - 2450*m - 585 = 0. Calculate m.
-13, -9, -1, -1/3
Factor k**5 + 38*k**4 - k**3 - 38*k**2.
k**2*(k - 1)*(k + 1)*(k + 38)
Factor -2*b**3/21 - 1636*b**2/21 + 78*b.
-2*b*(b - 1)*(b + 819)/21
Factor 3*v**2 + 150*v + 1632.
3*(v + 16)*(v + 34)
Solve 4*v**4 - 92*v**3 + 660*v**2 - 1204*v - 1960 = 0.
-1, 7, 10
Factor 4*q**2 - 64*q + 192.
4*(q - 12)*(q - 4)
Factor w**3/4 - 605*w**2/2 + 2417*w/4 - 302.
(w - 1208)*(w - 1)**2/4
Determine p so that 2*p**3 - 4*p**2/3 - 22*p - 56/3 = 0.
-7/3, -1, 4
Suppose -2*q**4/9 - 34*q**3/9 + 34*q**2 - 78*q + 48 = 0. Calculate q.
-24, 1, 3
Factor -3*p**3/7 - 3*p**2/7.
-3*p**2*(p + 1)/7
Factor 4*h**2 + 452*h - 920.
4*(h - 2)*(h + 115)
Factor 3*k**2/5 - 549*k/5.
3*k*(k - 183)/5
Factor -2*j**2/3 - 6*j - 16/3.
-2*(j + 1)*(j + 8)/3
What is w in 7*w**2/3 - 680*w/3 - 196 = 0?
-6/7, 98
Factor b**3/4 - 33*b**2/4 + 54*b - 100.
(b - 25)*(b - 4)**2/4
Suppose d**2/2 - 5*d/2 + 3 = 0. What is d?
2, 3
Determine t so that t**5/4 - 11*t**4/4 + 19*t**3/4 - 9*t**2/4 = 0.
0, 1, 9
Factor -2*t**3 - 56*t**2 - 442*t - 676.
-2*(t + 2)*(t + 13)**2
Factor -36*v**2 - 9028*v + 2008.
-4*(v + 251)*(9*v - 2)
Factor -2*d**5/5 - 54*d**4/5 - 432*d**3/5 - 864*d**2/5.
-2*d**2*(d + 3)*(d + 12)**2/5
Solve 2*f**3 - 366*f**2 - 740*f = 0 for f.
-2, 0, 185
Factor d**3/4 - 285*d**2/4 + 24003*d/4 - 499999/4.
(d - 127)**2*(d - 31)/4
Factor -2*v**2 - 26*v + 60.
-2*(v - 2)*(v + 15)
Factor -5*u**4 + 50*u**3 + 15*u**2 - 700*u - 980.
-5*(u - 7)**2*(u + 2)**2
Factor 8*w**4/7 - 4*w**3 + 36*w**2/7 - 20*w/7 + 4/7.
4*(w - 1)**3*(2*w - 1)/7
What is q in 605*q**3 - 15345*q**2 + 5520*q - 500 = 0?
2/11, 25
What is n in 2*n**3/9 - 10*n**2/9 - 2*n/9 + 10/9 = 0?
-1, 1, 5
Suppose -2*h**5/7 - 16*h**4/7 - 22*h**3/7 + 16*h**2/7 + 24*h/7 = 0. What is h?
-6, -2, -1, 0, 1
Suppose -a**2/2 + 1506*a + 3013/2 = 0. Calculate a.
-1, 3013
Factor 6*c**4 + 3316*c**3 + 459264*c**2 + 304704*c.
2*c*(c + 276)**2*(3*c + 2)
Factor -z**3/4 + 155*z**2/4 + 79*z/2 - 78.
-(z - 156)*(z - 1)*(z + 2)/4
Let -h**3/4 + 73*h**2/2 - 145*h/4 = 0. Calculate h.
0, 1, 145
Find s, given that 179776*s**2 + 2544*s + 9 = 0.
-3/424
Suppose 10*l**4/9 - 317*l**3/9 + 475*l**2/9 + 346*l/3 + 40 = 0. Calculate l.
-4/5, -1/2, 3, 30
Let 2*d**2/5 + 1556*d/5 + 302642/5 = 0. What is d?
-389
Solve -2*c**4/17 - 8*c**3/17 - 4*c**2/17 + 8*c/17 + 6/17 = 0.
-3, -1, 1
Factor 2*g**2/9 - 292*g/9 + 290/9.
2*(g - 145)*(g - 1)/9
Let 5*v**2 + 20*v = 0. What is v?
-4, 0
Factor 3*a**5 + 18*a**4 + 36*a**3 + 24*a**2.
3*a**2*(a + 2)**3
Factor 3*o**2/5 + 939*o/5.
3*o*(o + 313)/5
Factor 2*u**4/5 + 142*u**3/5 + 744*u**2 + 8480*u + 35200.
2*(u + 11)*(u + 20)**3/5
What is b in -4*b**3 + 180*b**2 + 372*b + 188 = 0?
-1, 47
Determine i so that i**5/8 - 5*i**4/8 - 9*i**3/8 + 17*i**2/8 + i - 3/2 = 0.
-2, -1, 1, 6
Factor u**4 + 19*u**3 + 123*u**2 + 301*u + 196.
(u + 1)*(u + 4)*(u + 7)**2
Suppose -5*s**2/6 + 1575*s/2 - 4715/3 = 0. Calculate s.
2, 943
Find m, given that m**2 + 7*m + 10 = 0.
-5, -2
Factor 2*v**2/5 + 76*v/5 + 74/5.
2*(v + 1)*(v + 37)/5
Determine h, given that 2*h**5/7 - 10*h**3/7 + 8*h/7 = 0.
-2, -1, 0, 1, 2
Factor -3*c**2 - 126*c + 1029.
-3*(c - 7)*(c + 49)
Suppose 10*x**3 + 145*x**2 - 240*x = 0. Calculate x.
-16, 0, 3/2
Let p**5/4 - p**4/4 - p**3/2 = 0. What is p?
-1, 0, 2
Factor -3*c**4/4 + 15*c**3/4 - 27*c**2/4 + 21*c/4 - 3/2.
-3*(c - 2)*(c - 1)**3/4
Factor 2*l**4 + 14*l**3 + 8*l**2 - 24*l.
2*l*(l - 1)*(l + 2)*(l + 6)
Determine n so that 12*n**2 + 7348*n + 2448 = 0.
-612, -1/3
Let 4*m**5/5 - 256*m**4/5 + 4976*m**3/5 - 27776*m**2/5 + 37632*m/5 = 0. What is m?
0, 2, 6, 28
Suppose 35*c**5 + 425*c**4 + 1845*c**3 + 3335*c**2 + 2120*c + 240 = 0. What is c?
-4, -3, -1, -1/7
Solve -2*t**4/7 + 226*t**3/7 + 690*t**2/7 + 694*t/7 + 232/7 = 0 for t.
-1, 116
Solve -4*o**2 - 816*o = 0 for o.
-204, 0
Determine s, given that 2*s**4 + 20*s**3 - 102*s**2 + 136*s - 56 = 0.
-14, 1, 2
Find m, given that m**3 - 76*m**2 - 156*m = 0.
-2, 0, 78
Find t, given that -2*t**4 - 9424*t**3 - 16652208*t**2 - 13077534016*t - 3851333767712 = 0.
-1178
Factor -14*a**3 - 668*a**2 + 3902*a - 1060.
-2*(a - 5)*(a + 53)*(7*a - 2)
Factor 5*p**3 + 1185*p**2 + 1170*p - 2360.
5*(p - 1)*(p + 2)*(p + 236)
Determine q so that 3*q**5/4 - 57*q**4/4 + 285*q**3/4 - 411*q**2/4 + 45*q = 0.
0, 1, 5, 12
What is c in 12*c**5 + 26*c**4 - 6*c**3 - 24*c**2 - 8*c = 0?
-2, -2/3, -1/2, 0, 1
Factor -u**3/7 + 834*u**2/7 + 835*u/7.
-u*(u - 835)*(u + 1)/7
Find d, given that d**3 - 63*d**2 + 1080*d - 2700 = 0.
3, 30
Factor -2*g**3/5 + 44*g**2 - 5824*g/5 - 12544/5.
-2*(g - 56)**2*(g + 2)/5
Determine y so that 4*y**2 + 26384*y + 43507216 = 0.
-3298
Solve 3*p**4 - 18*p**3 - 45*p**2 - 24*p = 0 for p.
-1, 0, 8
Factor 14*s**3/5 - 122*s**2/5 + 32*s + 56/5.
2*(s - 7)*(s - 2)*(7*s + 2)/5
Factor -4*z**2 + 128*z - 124.
-4*(z - 31)*(z - 1)
Factor -5*k**3/4 - 15*k**2/4.
-5*k**2*(k + 3)/4
Solve -8*s**2/11 + 3654*s/11 + 914/11 = 0.
-1/4, 457
Factor 4*t**3 - 160*t**2 - 688*t - 704.
4*(t - 44)*(t + 2)**2
Suppose 2*t**5/5 - 18*t**4/5 + 26*t**3/5 + 18*t**2/5 - 28*t/5 = 0. Calculate t.
-1, 0, 1, 2, 7
Factor 9*b**2/4 - 167*b + 325.
(b - 2)*(9*b - 650)/4
Factor 5*m**4/3 - 280*m**3/3 + 180*m**2.
5*m**2*(m - 54)*(m - 2)/3
Factor -2*o**3/15 - 14*o**2/15 + 58*o/3 - 170/3.
-2*(o - 5)**2*(o + 17)/15
Determine v so that -4*v**3 + 104*v**2 - 644*v + 544 = 0.
1, 8, 17
Suppose -5*r**2 + 2655*r - 2650 = 0. Calculate r.
1, 530
Factor -28*b**3 - 1476*b**2 - 2432*b + 816.
-4*(b + 2)*(b + 51)*(7*b - 2)
What is d in d**5 + 4*d**4 - 4*d**3 - 22*d**2 + 3*d + 18 = 0?
-3, -1, 1, 2
Factor -3*a**3/4 + 9*a**2/2.
-3*a**2*(a - 6)/4
Factor 5*q**4 - 285*q**3.
5*q**3*(q - 57)
Solve -3*p**2/5 - 684*p/5 + 276 = 0 for p.
-230, 2
Find y such that 3*y**2/2 - 405*y + 54675/2 = 0.
135
Solve 44*p**3 - 624*p**2 - 548*p + 120 = 0.
-1, 2/11, 15
Factor -20*t**3 + 112*t**2 + 48*t.
-4*t*(t - 6)*(5*t + 2)
Factor 3*r**3 + 36*r**2 + 63*r + 30.
3*(r + 1)**2*(r + 10)
Solve -2*b**3/21 - 20*b**2/21 - 2*b/3 + 12/7 = 0.
-9, -2, 1
Let -5*t**4/3 - t**3 + 7*t**2/3 + t - 2/3 = 0. What is t?
-1, 2/5, 1
Find d, given that -5*d**4 + 335*d**3/3 - 100*d**2/3 - 220*d/3 = 0.
-2/3, 0, 1, 22
Let 2*f**4 - 48*f**3 + 202*f**2 - 228*f = 0. What is f?
0, 2, 3, 19
Find y such that -2*y**3 + 33*y**2/2 + 14*y - 9/2 = 0.
-1, 1/4, 9
Factor -243*m**3/4 - 621*m**2/4 - 525*m/4 - 147/4.
-3*(m + 1)*(9*m + 7)**2/4
Factor 4*d**5/5 - 9*d**4/5 + 6*d**3/5 - d**2/5.
d**2*(d - 1)**2*(4*d - 1)/5
Factor -3*n**4 + 84*n**3 + 90*n**2 - 84*n - 87.
-3*(n - 29)*(n - 1)*(n + 1)**2
Factor 3*y**2/4 - 135*y/4 - 141/2.
3*(y - 47)*(y + 2)/4
Find r such that -r**3/3 - 43*r**2/3 - 296*r/3 - 560/3 = 0.
-35, -4
Factor y**3/3 + 12*y**2 - 76*y/3.
y*(y - 2)*(y + 38)/3
Factor -4*d**3 - 257*d**2 + 196*d + 65.
-(d - 1)*(d + 65)*(4*d + 1)
Factor -i**2 - 3*i + 54.
-(i - 6)*(i + 9)
Solve -5*x**3 - 70*x**2 + 160*x = 0 for x.
-16, 0, 2
Factor -2*i**2 + 50*i + 168.
-2*(i - 28)*(i + 3)
Factor -2*u**3 + 14*u**2 + 50*u - 350.
-2*(u - 7)*(u - 5)*(u + 5)
Find p such that -11*p**3 + 64*p**2 + 309*p + 54 = 0.
-3, -2/11, 9
Factor -726*o**2/5 + 3344*o/5 - 11552/15.
-2*(33*o - 76)**2/15
Factor -11*s**4/4 + 6*s**3 - s**2.
-s**2*(s - 2)*(11*s - 2)/4
Let -4*w**2 + 20000*w - 25000000 = 0. What is w?
2500
Suppose 2*r**4/23 - 14*r**3/23 - 34*r**2/23 - 18*r/23 = 