1/44, 0
Find a, given that a**3 + 7*a**2 + 7*a - 15 = 0.
-5, -3, 1
Factor 4*z**4 - 368*z**3 + 12096*z**2 - 163072*z + 702464.
4*(z - 28)**3*(z - 8)
Factor 2*j**2 + 6852*j + 5868738.
2*(j + 1713)**2
Let 2*f**3/23 - 50*f**2/23 - 232*f/23 = 0. Calculate f.
-4, 0, 29
Let -4*q**4 - 28*q**3 - 60*q**2 - 52*q - 16 = 0. Calculate q.
-4, -1
Suppose 2*i**5 + 120*i**4 + 2398*i**3 + 15880*i**2 - 2400*i - 16000 = 0. Calculate i.
-20, -1, 1
Let i**5/4 + 85*i**4/4 + 1125*i**3/2 + 13365*i**2/2 + 149445*i/4 + 321489/4 = 0. What is i?
-49, -9
Determine l, given that 3*l**5 - 87*l**4 + 384*l**3 - 588*l**2 + 288*l = 0.
0, 1, 2, 24
Suppose 2*k**4 - 76*k**3 + 144*k**2 = 0. What is k?
0, 2, 36
Suppose -2*g**5/3 + 6*g**4 + 8*g**3/3 - 96*g**2 + 288 = 0. What is g?
-3, -2, 2, 6
Solve -4*g**2/9 + 608*g - 207936 = 0.
684
Determine p so that -4*p**5/7 + 432*p**4/7 - 12088*p**3/7 + 22896*p**2/7 - 11236*p/7 = 0.
0, 1, 53
Determine g, given that -2*g**2/3 + 4*g/3 = 0.
0, 2
Determine b, given that -b**3/4 - 11*b**2 - 163*b/4 - 30 = 0.
-40, -3, -1
Suppose 5*p**3 - 48850*p**2 - 97715*p - 48860 = 0. Calculate p.
-1, 9772
Factor -d**5/4 + 2705*d**4/4 - 686140*d**3 + 309601240*d**2 - 52515681920*d + 52206766144.
-(d - 676)**4*(d - 1)/4
Factor 3*n**3 + 114*n**2 + 855*n - 972.
3*(n - 1)*(n + 12)*(n + 27)
Factor 2*d**2/7 + 2*d/7 - 12/7.
2*(d - 2)*(d + 3)/7
Factor 2*k**4/11 + 30*k**3/11 + 54*k**2/11 + 26*k/11.
2*k*(k + 1)**2*(k + 13)/11
Factor -3*f**2 - 12*f - 9.
-3*(f + 1)*(f + 3)
Factor -u**3/3 + 148*u**2/3 - 5476*u/3.
-u*(u - 74)**2/3
Factor -2*s**4/5 + 2*s**3/5 + 36*s**2/5 - 104*s/5 + 16.
-2*(s - 2)**3*(s + 5)/5
Find m such that -m**3/5 + 354*m**2/5 - 2097*m/5 + 3132/5 = 0.
3, 348
Determine w, given that -50*w**2/11 - 96*w/11 + 8/11 = 0.
-2, 2/25
Solve b**4 + 764*b**3 + 144388*b**2 - 586752*b + 589824 = 0 for b.
-384, 2
Determine p, given that -4*p**2 + 60*p - 104 = 0.
2, 13
Find u such that -4*u**3 - 436*u**2 + 4*u + 436 = 0.
-109, -1, 1
Let -12*q**3 - 88*q**2 - 192*q - 128 = 0. Calculate q.
-4, -2, -4/3
Solve 4*c**4 - 4*c**3 - 16*c**2 + 16*c = 0 for c.
-2, 0, 1, 2
Factor t**2 - 2*t - 3.
(t - 3)*(t + 1)
Suppose -m**2/2 - 228*m + 1377/2 = 0. What is m?
-459, 3
What is t in 5*t**5 - 180*t**4 - 190*t**3 + 180*t**2 + 185*t = 0?
-1, 0, 1, 37
Determine b, given that 11*b**4 - 24*b**3 + 4*b**2 = 0.
0, 2/11, 2
Find x such that -3*x**2/8 - 93*x/2 - 2883/2 = 0.
-62
Factor z**3/6 - 301*z**2/2 + 90601*z/2 - 27270901/6.
(z - 301)**3/6
Factor j**2 + 962*j.
j*(j + 962)
What is a in -2*a**2 + 298*a + 300 = 0?
-1, 150
Solve -1372*l**5 + 30576*l**4 - 175980*l**3 + 419800*l**2 - 450000*l + 180000 = 0.
10/7, 3, 15
Factor c**5/5 + 102*c**4/5 + 477*c**3 - 11236*c**2/5.
c**2*(c - 4)*(c + 53)**2/5
Find r, given that r**2 + 49*r + 94 = 0.
-47, -2
Suppose j**4/4 - 3*j**3 + 4*j**2 + 12*j - 20 = 0. Calculate j.
-2, 2, 10
Factor -4*g**4 - 12*g**3 + 72*g**2 - 16*g - 96.
-4*(g - 2)**2*(g + 1)*(g + 6)
Suppose 3*m**5/8 + 9*m**4 + 309*m**3/8 + 117*m**2/2 + 57*m/2 = 0. Calculate m.
-19, -2, -1, 0
Factor -4*r**3/5 + 28*r**2/5 + 8*r - 64/5.
-4*(r - 8)*(r - 1)*(r + 2)/5
Factor -2*o**2/3 - 84*o + 258.
-2*(o - 3)*(o + 129)/3
Factor p**2 - 197*p/4 + 49/4.
(p - 49)*(4*p - 1)/4
Factor -3*j**3 + 30*j**2 - 81*j + 54.
-3*(j - 6)*(j - 3)*(j - 1)
Let -3*p**2 + 315*p - 312 = 0. What is p?
1, 104
Factor n**3 + 336*n**2 - 337*n.
n*(n - 1)*(n + 337)
Find i such that 4*i**3/3 + 72*i**2 + 1124*i/3 - 448 = 0.
-48, -7, 1
What is o in -2*o**2 + 8*o - 8 = 0?
2
Factor 2007*a**3/4 + 6015*a**2/4 - 9*a/2.
3*a*(a + 3)*(669*a - 2)/4
Determine t so that 4*t**5 - 24*t**4 - 32*t**3 + 192*t**2 + 64*t - 384 = 0.
-2, 2, 6
Suppose -3*y**3/2 + 9*y**2/2 + 6*y = 0. What is y?
-1, 0, 4
Factor -4*s**3 + 31*s**2 + 88*s + 20.
-(s - 10)*(s + 2)*(4*s + 1)
Factor x**4 - 3*x**3 - 18*x**2 - 4*x + 24.
(x - 6)*(x - 1)*(x + 2)**2
Determine j so that 12*j**3 - 3*j**2 = 0.
0, 1/4
Factor -2*n**3 - 3150*n**2 + 6306*n - 3154.
-2*(n - 1)**2*(n + 1577)
Suppose -4*x**5 - 348*x**4 + 1456*x**3 - 64*x**2 - 5760*x + 5824 = 0. Calculate x.
-91, -2, 2
Factor 3*f**2 - 60*f + 57.
3*(f - 19)*(f - 1)
Determine l, given that -2*l**2/11 - 1592*l/11 - 316808/11 = 0.
-398
Factor -u**2/5 - 26*u/5 + 24.
-(u - 4)*(u + 30)/5
Suppose -s**3 - 164*s**2 - 325*s - 162 = 0. Calculate s.
-162, -1
Let 2*y**5/3 + 20*y**4/3 - 76*y**3/3 + 32*y**2/3 + 74*y/3 - 52/3 = 0. What is y?
-13, -1, 1, 2
Factor -k**3 + 1528*k**2 + 1529*k.
-k*(k - 1529)*(k + 1)
Determine m so that -2*m**3/5 + 34*m**2 - 334*m/5 + 166/5 = 0.
1, 83
Suppose -a**4/2 - 2*a**3 - 3*a**2/2 + 2*a + 2 = 0. What is a?
-2, -1, 1
Determine d, given that -2*d**3/7 - 8*d**2/7 + 8*d/7 + 32/7 = 0.
-4, -2, 2
Let -2*o**3 - 720*o**2 - 66216*o - 253472 = 0. What is o?
-178, -4
Suppose -g**4/5 + 26*g**3/5 - 137*g**2/5 + 64*g/5 + 228/5 = 0. What is g?
-1, 2, 6, 19
Suppose -g**3/4 - 23*g**2/4 + 53*g/4 + 75/4 = 0. What is g?
-25, -1, 3
Factor s**2/3 + 47*s - 286/3.
(s - 2)*(s + 143)/3
Determine r, given that -3*r**3 - 24*r**2 - 36*r = 0.
-6, -2, 0
Factor -31*z**2 + 28*z + 3.
-(z - 1)*(31*z + 3)
Factor 2*c**3/7 - 190*c**2/7.
2*c**2*(c - 95)/7
Solve -4*d**3/3 - 56*d**2/3 + 124*d/3 - 64/3 = 0 for d.
-16, 1
Suppose 20*t**4 + 25*t**3 + 5*t**2 = 0. What is t?
-1, -1/4, 0
Factor q**3 - 28*q**2 + 91*q + 552.
(q - 23)*(q - 8)*(q + 3)
Let -21*p**2 + 981*p + 282 = 0. Calculate p.
-2/7, 47
Determine t so that -t**5/5 - 8*t**4/5 + 2*t**3 + 8*t**2/5 - 9*t/5 = 0.
-9, -1, 0, 1
Factor -x**2/4 + 47*x/4 + 159/2.
-(x - 53)*(x + 6)/4
Suppose 40*g**3 + 335*g**2 + 760*g + 240 = 0. Calculate g.
-4, -3/8
Factor -6*b**3 + 356*b**2 - 3984*b - 2816.
-2*(b - 44)*(b - 16)*(3*b + 2)
Factor -5*f**3 - 5*f**2 + 40*f + 60.
-5*(f - 3)*(f + 2)**2
Solve -5*h**3 - 1270*h**2 - 79360*h + 163840 = 0.
-128, 2
What is q in 3*q**5 - 39*q**4 + 165*q**3 - 309*q**2 + 264*q - 84 = 0?
1, 2, 7
Find x such that -x**2 - 488*x - 59536 = 0.
-244
Factor l**3/5 + 28*l**2/5 + 212*l/5 + 64.
(l + 2)*(l + 10)*(l + 16)/5
Solve -4*y**3 + 4844*y**2 = 0 for y.
0, 1211
Let -4*x**5/7 + 2*x**4/7 + 2*x**3 - 2*x**2 - 2*x/7 + 4/7 = 0. Calculate x.
-2, -1/2, 1
Factor -2*d**2 + 818*d.
-2*d*(d - 409)
Factor u**5 + 44*u**4 + 633*u**3 + 3366*u**2 + 7452*u + 5832.
(u + 2)*(u + 3)**2*(u + 18)**2
Solve -2*p**3 + 966*p**2 = 0 for p.
0, 483
Factor 2*q**3/5 + 94*q**2/5 - 2*q/5 - 94/5.
2*(q - 1)*(q + 1)*(q + 47)/5
Factor -4*b**2 - 992*b - 61504.
-4*(b + 124)**2
What is j in 12*j**3 + 4563*j**2 - 3432*j - 1143 = 0?
-381, -1/4, 1
Let -507*w**4 - 4212*w**3 + 3303*w**2 + 1308*w + 108 = 0. What is w?
-9, -2/13, 1
Factor -3*j**3 + 63*j**2 - 117*j + 57.
-3*(j - 19)*(j - 1)**2
Determine x so that 4*x**2 + 132*x + 248 = 0.
-31, -2
Factor 3*m**3 - 3546*m**2 + 1397124*m - 183488952.
3*(m - 394)**3
Determine d so that -3*d**2 + 2034*d + 2037 = 0.
-1, 679
Factor -2*t**2/11 - 190*t/11 - 188/11.
-2*(t + 1)*(t + 94)/11
Factor -2*c**4 + 46*c**3 - 232*c**2 - 280*c.
-2*c*(c - 14)*(c - 10)*(c + 1)
Suppose 2*w**4/5 - 6*w**3/5 + 4*w**2/5 = 0. What is w?
0, 1, 2
Factor -10985*l**5 - 59995*l**4 - 26130*l**3 - 3940*l**2 - 200*l.
-5*l*(l + 5)*(13*l + 2)**3
Factor -q**3 - 97*q**2 - 2576*q - 10580.
-(q + 5)*(q + 46)**2
Suppose u**3/2 + 222*u**2 - 1339*u/2 + 447 = 0. Calculate u.
-447, 1, 2
What is y in y**4/2 + 23*y**3/4 + 23*y**2/2 + 7*y/4 - 9/2 = 0?
-9, -2, -1, 1/2
Factor -s**2/2 + 168*s.
-s*(s - 336)/2
Suppose -28*k**4 - 692*k**3 - 1088*k**2 + 368*k = 0. Calculate k.
-23, -2, 0, 2/7
Factor 2*b**4 + 214*b**3 - 678*b**2 - 1990*b - 1100.
2*(b - 5)*(b + 1)**2*(b + 110)
Factor -3*i**2/2 + 15*i/2.
-3*i*(i - 5)/2
Factor w**5/5 - 122*w**4/5 + 828*w**3 + 4232*w**2/5 - 1557376*w/5.
w*(w - 46)**3*(w + 16)/5
Factor -q**2/10 + 19*q/5 + 8.
-(q - 40)*(q + 2)/10
Factor -3*a**2/5 - 6468*a - 17431260.
-3*(a + 5390)**2/5
What is k in -k**2/2 + 477*k/2 + 479 = 0?
-2, 479
Factor r**3/6 - 8*r**2 - 51*r/2.
r*(r - 51)*(r + 3)/6
Factor 4*q**2 + 136*q + 580.
4*(q + 5)*(q + 29)
Determine g so that -g**2 - 66*g + 1215 = 0.
-81, 15
Determine q so that -2*q**4/9 + 82*q**3/9 - 50*q**2/3 - 26*q = 0.
-1, 0, 3, 39
Let j**4/6 + 2*j**3 - 13*j**2 + 58*j/3 - 17/2 = 0. What is j?
-17, 1, 3
Factor -c**4/2 + c**3 + c**2/2 - c.
-c*(c - 2)*(c - 1)*(c + 1)/2
Factor -10*y**3 - 595*y**2 + 2225*y + 1260.
-5*(y - 4)*(y + 63)*(2*y + 1)
Determine y, given that -9*y**5 + 48*y**4 - 72*y**3 + 18*y**2 + 33*y 